TSTP Solution File: NUN062+1 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : NUN062+1 : TPTP v8.1.0. Bugfixed v7.4.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n027.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 : Mon Jul 18 16:19:10 EDT 2022
% Result : Theorem 4.20s 4.55s
% Output : Refutation 4.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : NUN062+1 : TPTP v8.1.0. Bugfixed v7.4.0.
% 0.13/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n027.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 : Thu Jun 2 04:29:49 EDT 2022
% 0.13/0.34 % CPUTime :
% 1.66/2.03 *** allocated 10000 integers for termspace/termends
% 1.66/2.03 *** allocated 10000 integers for clauses
% 1.66/2.03 *** allocated 10000 integers for justifications
% 1.66/2.03 Bliksem 1.12
% 1.66/2.03
% 1.66/2.03
% 1.66/2.03 Automatic Strategy Selection
% 1.66/2.03
% 1.66/2.03
% 1.66/2.03 Clauses:
% 1.66/2.03
% 1.66/2.03 { alpha1( skol1, X ), ! r1( X ) }.
% 1.66/2.03 { alpha1( skol1, X ), ! id( X, skol1 ) }.
% 1.66/2.03 { ! alpha1( X, Y ), id( Y, X ) }.
% 1.66/2.03 { ! alpha1( X, Y ), r1( Y ) }.
% 1.66/2.03 { ! id( Y, X ), ! r1( Y ), alpha1( X, Y ) }.
% 1.66/2.03 { alpha2( X, skol2( X ), Y ), ! r2( X, Y ) }.
% 1.66/2.03 { alpha2( X, skol2( X ), Y ), ! id( Y, skol2( X ) ) }.
% 1.66/2.03 { ! alpha2( X, Y, Z ), id( Z, Y ) }.
% 1.66/2.03 { ! alpha2( X, Y, Z ), r2( X, Z ) }.
% 1.66/2.03 { ! id( Z, Y ), ! r2( X, Z ), alpha2( X, Y, Z ) }.
% 1.66/2.03 { alpha3( X, Y, skol3( X, Y ), Z ), ! r3( X, Y, Z ) }.
% 1.66/2.03 { alpha3( X, Y, skol3( X, Y ), Z ), ! id( Z, skol3( X, Y ) ) }.
% 1.66/2.03 { ! alpha3( X, Y, Z, T ), id( T, Z ) }.
% 1.66/2.03 { ! alpha3( X, Y, Z, T ), r3( X, Y, T ) }.
% 1.66/2.03 { ! id( T, Z ), ! r3( X, Y, T ), alpha3( X, Y, Z, T ) }.
% 1.66/2.03 { alpha4( X, Y, skol4( X, Y ), Z ), ! r4( X, Y, Z ) }.
% 1.66/2.03 { alpha4( X, Y, skol4( X, Y ), Z ), ! id( Z, skol4( X, Y ) ) }.
% 1.66/2.03 { ! alpha4( X, Y, Z, T ), id( T, Z ) }.
% 1.66/2.03 { ! alpha4( X, Y, Z, T ), r4( X, Y, T ) }.
% 1.66/2.03 { ! id( T, Z ), ! r4( X, Y, T ), alpha4( X, Y, Z, T ) }.
% 1.66/2.03 { id( X, X ) }.
% 1.66/2.03 { ! id( X, Y ), id( Y, X ) }.
% 1.66/2.03 { ! id( X, Y ), id( X, Z ), ! id( Y, Z ) }.
% 1.66/2.03 { alpha5( X, Y ), r1( X ) }.
% 1.66/2.03 { alpha5( X, Y ), r1( Y ) }.
% 1.66/2.03 { ! alpha5( X, Y ), ! id( X, Y ), ! r1( X ) }.
% 1.66/2.03 { ! alpha5( X, Y ), ! id( X, Y ), ! r1( Y ) }.
% 1.66/2.03 { id( X, Y ), alpha5( X, Y ) }.
% 1.66/2.03 { r1( X ), r1( Y ), alpha5( X, Y ) }.
% 1.66/2.03 { ! id( X, Y ), alpha6( X, Y, Z, T ), r2( X, Z ) }.
% 1.66/2.03 { ! id( X, Y ), alpha6( X, Y, Z, T ), r2( Y, T ) }.
% 1.66/2.03 { ! alpha6( X, Y, Z, T ), ! id( Z, T ), ! r2( X, Z ) }.
% 1.66/2.03 { ! alpha6( X, Y, Z, T ), ! id( Z, T ), ! r2( Y, T ) }.
% 1.66/2.03 { id( Z, T ), alpha6( X, Y, Z, T ) }.
% 1.66/2.03 { r2( X, Z ), r2( Y, T ), alpha6( X, Y, Z, T ) }.
% 1.66/2.03 { ! id( X, Y ), ! id( Z, T ), alpha7( X, Y, Z, T, U, W ), r3( X, Z, U ) }.
% 1.66/2.03 { ! id( X, Y ), ! id( Z, T ), alpha7( X, Y, Z, T, U, W ), r3( Y, T, W ) }.
% 1.66/2.03 { ! alpha7( X, Y, Z, T, U, W ), ! id( U, W ), ! r3( X, Z, U ) }.
% 1.66/2.03 { ! alpha7( X, Y, Z, T, U, W ), ! id( U, W ), ! r3( Y, T, W ) }.
% 1.66/2.03 { id( U, W ), alpha7( X, Y, Z, T, U, W ) }.
% 1.66/2.03 { r3( X, Z, U ), r3( Y, T, W ), alpha7( X, Y, Z, T, U, W ) }.
% 1.66/2.03 { ! id( X, Y ), ! id( Z, T ), alpha8( X, Y, Z, T, U, W ), r4( X, Z, U ) }.
% 1.66/2.03 { ! id( X, Y ), ! id( Z, T ), alpha8( X, Y, Z, T, U, W ), r4( Y, T, W ) }.
% 1.66/2.03 { ! alpha8( X, Y, Z, T, U, W ), ! id( U, W ), ! r4( X, Z, U ) }.
% 1.66/2.03 { ! alpha8( X, Y, Z, T, U, W ), ! id( U, W ), ! r4( Y, T, W ) }.
% 1.66/2.03 { id( U, W ), alpha8( X, Y, Z, T, U, W ) }.
% 1.66/2.03 { r4( X, Z, U ), r4( Y, T, W ), alpha8( X, Y, Z, T, U, W ) }.
% 1.66/2.03 { id( skol12( X, Y ), skol5( X, Y ) ) }.
% 1.66/2.03 { r2( Y, skol18( Z, Y ) ) }.
% 1.66/2.03 { r3( X, skol18( X, Y ), skol12( X, Y ) ) }.
% 1.66/2.03 { r2( skol21( X, Y ), skol5( X, Y ) ) }.
% 1.66/2.03 { r3( X, Y, skol21( X, Y ) ) }.
% 1.66/2.03 { id( skol13( X, Y ), skol6( X, Y ) ) }.
% 1.66/2.03 { r2( Y, skol19( Z, Y ) ) }.
% 1.66/2.03 { r4( X, skol19( X, Y ), skol13( X, Y ) ) }.
% 1.66/2.03 { r3( skol22( X, Y ), X, skol6( X, Y ) ) }.
% 1.66/2.03 { r4( X, Y, skol22( X, Y ) ) }.
% 1.66/2.03 { ! id( T, Z ), ! r2( X, T ), ! r2( Y, Z ), id( X, Y ) }.
% 1.66/2.03 { id( skol7( X ), X ) }.
% 1.66/2.03 { r1( skol14( Y ) ) }.
% 1.66/2.03 { r3( X, skol14( X ), skol7( X ) ) }.
% 1.66/2.03 { r1( skol15( Z ) ) }.
% 1.66/2.03 { id( skol8( Y ), skol15( Y ) ) }.
% 1.66/2.03 { r1( skol20( Y ) ) }.
% 1.66/2.03 { r4( X, skol20( X ), skol8( X ) ) }.
% 1.66/2.03 { alpha9( X ), r2( skol16( Y ), skol9( Y ) ) }.
% 1.66/2.03 { alpha9( X ), id( X, skol9( X ) ) }.
% 1.66/2.03 { ! alpha9( X ), r1( skol10( Y ) ) }.
% 1.66/2.03 { ! alpha9( X ), id( X, skol10( X ) ) }.
% 1.66/2.03 { ! id( X, Y ), ! r1( Y ), alpha9( X ) }.
% 1.66/2.03 { ! id( Y, X ), ! r1( Y ), ! r2( Z, X ) }.
% 1.66/2.03 { r1( skol17( Y ) ), ! id( Z, T ), ! r3( skol11, X, Z ) }.
% 1.66/2.03 { id( X, skol17( X ) ), ! id( Y, Z ), ! r3( skol11, X, Y ) }.
% 1.66/2.03
% 1.66/2.03 percentage equality = 0.000000, percentage horn = 0.763889
% 1.66/2.03 This a non-horn, non-equality problem
% 1.66/2.03
% 1.66/2.03
% 1.66/2.03 Options Used:
% 1.66/2.03
% 1.66/2.03 useres = 1
% 1.66/2.03 useparamod = 0
% 1.66/2.03 useeqrefl = 0
% 1.66/2.03 useeqfact = 0
% 1.66/2.03 usefactor = 1
% 1.66/2.03 usesimpsplitting = 0
% 1.66/2.03 usesimpdemod = 0
% 1.66/2.03 usesimpres = 3
% 1.66/2.03
% 1.66/2.03 resimpinuse = 1000
% 1.66/2.03 resimpclauses = 20000
% 1.66/2.03 substype = standard
% 1.66/2.03 backwardsubs = 1
% 1.66/2.03 selectoldest = 5
% 1.66/2.03
% 1.66/2.03 litorderings [0] = split
% 1.66/2.03 litorderings [1] = liftord
% 1.66/2.03
% 1.66/2.03 termordering = none
% 1.66/2.03
% 1.66/2.03 litapriori = 1
% 1.66/2.03 termapriori = 0
% 1.66/2.03 litaposteriori = 0
% 1.66/2.03 termaposteriori = 0
% 4.20/4.55 demodaposteriori = 0
% 4.20/4.55 ordereqreflfact = 0
% 4.20/4.55
% 4.20/4.55 litselect = none
% 4.20/4.55
% 4.20/4.55 maxweight = 15
% 4.20/4.55 maxdepth = 30000
% 4.20/4.55 maxlength = 115
% 4.20/4.55 maxnrvars = 195
% 4.20/4.55 excuselevel = 1
% 4.20/4.55 increasemaxweight = 1
% 4.20/4.55
% 4.20/4.55 maxselected = 10000000
% 4.20/4.55 maxnrclauses = 10000000
% 4.20/4.55
% 4.20/4.55 showgenerated = 0
% 4.20/4.55 showkept = 0
% 4.20/4.55 showselected = 0
% 4.20/4.55 showdeleted = 0
% 4.20/4.55 showresimp = 1
% 4.20/4.55 showstatus = 2000
% 4.20/4.55
% 4.20/4.55 prologoutput = 0
% 4.20/4.55 nrgoals = 5000000
% 4.20/4.55 totalproof = 1
% 4.20/4.55
% 4.20/4.55 Symbols occurring in the translation:
% 4.20/4.55
% 4.20/4.55 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 4.20/4.55 . [1, 2] (w:1, o:92, a:1, s:1, b:0),
% 4.20/4.55 ! [4, 1] (w:0, o:75, a:1, s:1, b:0),
% 4.20/4.55 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 4.20/4.55 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 4.20/4.55 id [37, 2] (w:1, o:116, a:1, s:1, b:0),
% 4.20/4.55 r1 [38, 1] (w:1, o:80, a:1, s:1, b:0),
% 4.20/4.55 r2 [42, 2] (w:1, o:117, a:1, s:1, b:0),
% 4.20/4.55 r3 [47, 3] (w:1, o:130, a:1, s:1, b:0),
% 4.20/4.55 r4 [52, 3] (w:1, o:131, a:1, s:1, b:0),
% 4.20/4.55 alpha1 [107, 2] (w:1, o:118, a:1, s:1, b:0),
% 4.20/4.55 alpha2 [108, 3] (w:1, o:132, a:1, s:1, b:0),
% 4.20/4.55 alpha3 [109, 4] (w:1, o:133, a:1, s:1, b:0),
% 4.20/4.55 alpha4 [110, 4] (w:1, o:134, a:1, s:1, b:0),
% 4.20/4.55 alpha5 [111, 2] (w:1, o:119, a:1, s:1, b:0),
% 4.20/4.55 alpha6 [112, 4] (w:1, o:135, a:1, s:1, b:0),
% 4.20/4.55 alpha7 [113, 6] (w:1, o:136, a:1, s:1, b:0),
% 4.20/4.55 alpha8 [114, 6] (w:1, o:137, a:1, s:1, b:0),
% 4.20/4.55 alpha9 [115, 1] (w:1, o:81, a:1, s:1, b:0),
% 4.20/4.55 skol1 [116, 0] (w:1, o:73, a:1, s:1, b:0),
% 4.20/4.55 skol2 [117, 1] (w:1, o:87, a:1, s:1, b:0),
% 4.20/4.55 skol3 [118, 2] (w:1, o:122, a:1, s:1, b:0),
% 4.20/4.55 skol4 [119, 2] (w:1, o:123, a:1, s:1, b:0),
% 4.20/4.55 skol5 [120, 2] (w:1, o:124, a:1, s:1, b:0),
% 4.20/4.55 skol6 [121, 2] (w:1, o:125, a:1, s:1, b:0),
% 4.20/4.55 skol7 [122, 1] (w:1, o:88, a:1, s:1, b:0),
% 4.20/4.55 skol8 [123, 1] (w:1, o:89, a:1, s:1, b:0),
% 4.20/4.55 skol9 [124, 1] (w:1, o:90, a:1, s:1, b:0),
% 4.20/4.55 skol10 [125, 1] (w:1, o:82, a:1, s:1, b:0),
% 4.20/4.55 skol11 [126, 0] (w:1, o:74, a:1, s:1, b:0),
% 4.20/4.55 skol12 [127, 2] (w:1, o:126, a:1, s:1, b:0),
% 4.20/4.55 skol13 [128, 2] (w:1, o:127, a:1, s:1, b:0),
% 4.20/4.55 skol14 [129, 1] (w:1, o:83, a:1, s:1, b:0),
% 4.20/4.55 skol15 [130, 1] (w:1, o:84, a:1, s:1, b:0),
% 4.20/4.55 skol16 [131, 1] (w:1, o:85, a:1, s:1, b:0),
% 4.20/4.55 skol17 [132, 1] (w:1, o:86, a:1, s:1, b:0),
% 4.20/4.55 skol18 [133, 2] (w:1, o:128, a:1, s:1, b:0),
% 4.20/4.55 skol19 [134, 2] (w:1, o:129, a:1, s:1, b:0),
% 4.20/4.55 skol20 [135, 1] (w:1, o:91, a:1, s:1, b:0),
% 4.20/4.55 skol21 [136, 2] (w:1, o:120, a:1, s:1, b:0),
% 4.20/4.55 skol22 [137, 2] (w:1, o:121, a:1, s:1, b:0).
% 4.20/4.55
% 4.20/4.55
% 4.20/4.55 Starting Search:
% 4.20/4.55
% 4.20/4.55 *** allocated 15000 integers for clauses
% 4.20/4.55 *** allocated 22500 integers for clauses
% 4.20/4.55 *** allocated 33750 integers for clauses
% 4.20/4.55 *** allocated 50625 integers for clauses
% 4.20/4.55 *** allocated 75937 integers for clauses
% 4.20/4.55 *** allocated 15000 integers for termspace/termends
% 4.20/4.55 Resimplifying inuse:
% 4.20/4.55 Done
% 4.20/4.55
% 4.20/4.55 *** allocated 22500 integers for termspace/termends
% 4.20/4.55 *** allocated 113905 integers for clauses
% 4.20/4.55 *** allocated 33750 integers for termspace/termends
% 4.20/4.55
% 4.20/4.55 Intermediate Status:
% 4.20/4.55 Generated: 5517
% 4.20/4.55 Kept: 2024
% 4.20/4.55 Inuse: 407
% 4.20/4.55 Deleted: 57
% 4.20/4.55 Deletedinuse: 48
% 4.20/4.55
% 4.20/4.55 Resimplifying inuse:
% 4.20/4.55 Done
% 4.20/4.55
% 4.20/4.55 *** allocated 170857 integers for clauses
% 4.20/4.55 *** allocated 50625 integers for termspace/termends
% 4.20/4.55 Resimplifying inuse:
% 4.20/4.55 Done
% 4.20/4.55
% 4.20/4.55 *** allocated 256285 integers for clauses
% 4.20/4.55
% 4.20/4.55 Intermediate Status:
% 4.20/4.55 Generated: 13468
% 4.20/4.55 Kept: 4024
% 4.20/4.55 Inuse: 537
% 4.20/4.55 Deleted: 61
% 4.20/4.55 Deletedinuse: 52
% 4.20/4.55
% 4.20/4.55 Resimplifying inuse:
% 4.20/4.55 Done
% 4.20/4.55
% 4.20/4.55 *** allocated 75937 integers for termspace/termends
% 4.20/4.55 Resimplifying inuse:
% 4.20/4.55 Done
% 4.20/4.55
% 4.20/4.55 *** allocated 384427 integers for clauses
% 4.20/4.55
% 4.20/4.55 Intermediate Status:
% 4.20/4.55 Generated: 24115
% 4.20/4.55 Kept: 6038
% 4.20/4.55 Inuse: 772
% 4.20/4.55 Deleted: 126
% 4.20/4.55 Deletedinuse: 63
% 4.20/4.55
% 4.20/4.55 Resimplifying inuse:
% 4.20/4.55 Done
% 4.20/4.55
% 4.20/4.55 *** allocated 113905 integers for termspace/termends
% 4.20/4.55 Resimplifying inuse:
% 4.20/4.55 Done
% 4.20/4.55
% 4.20/4.55
% 4.20/4.55 Intermediate Status:
% 4.20/4.55 Generated: 38327
% 4.20/4.55 Kept: 8040
% 4.20/4.55 Inuse: 1035
% 4.20/4.55 Deleted: 183
% 4.20/4.55 Deletedinuse: 64
% 4.20/4.55
% 4.20/4.55 Resimplifying inuse:
% 4.20/4.55 Done
% 4.20/4.55
% 4.20/4.55 *** allocated 576640 integers for clauses
% 4.20/4.55 Resimplifying inuse:
% 4.20/4.55 Done
% 4.20/4.55
% 4.20/4.55
% 4.20/4.55 Intermediate Status:
% 4.20/4.55 Generated: 52361
% 4.20/4.55 Kept: 10047
% 4.20/4.55 Inuse: 1264
% 4.20/4.55 Deleted: 242
% 4.20/4.55 Deletedinuse: 64
% 4.20/4.55
% 4.20/4.55 *** allocated 170857 integers for termspace/termends
% 4.20/4.55 Resimplifying inuse:
% 4.20/4.55 Done
% 4.20/4.55
% 4.20/4.55 Resimplifying inuse:
% 4.20/4.55 Done
% 4.20/4.55
% 4.20/4.55
% 4.20/4.55 Intermediate Status:
% 4.20/4.55 Generated: 69154
% 4.20/4.55 Kept: 12781
% 4.20/4.55 Inuse: 1460
% 4.20/4.55 Deleted: 270
% 4.20/4.55 Deletedinuse: 64
% 4.20/4.55
% 4.20/4.55 Resimplifying inuse:
% 4.20/4.55 Done
% 4.20/4.55
% 4.20/4.55 *** allocated 864960 integers for clauses
% 4.20/4.55 Resimplifying inuse:
% 4.20/4.55 Done
% 4.20/4.55
% 4.20/4.55 *** allocated 256285 integers for termspace/termends
% 4.20/4.55
% 4.20/4.55 Intermediate Status:
% 4.20/4.55 Generated: 75732
% 4.20/4.55 Kept: 15245
% 4.20/4.55 Inuse: 1505
% 4.20/4.55 Deleted: 270
% 4.20/4.55 Deletedinuse: 64
% 4.20/4.55
% 4.20/4.55 Resimplifying inuse:
% 4.20/4.55 Done
% 4.20/4.55
% 4.20/4.55 Resimplifying inuse:
% 4.20/4.55 Done
% 4.20/4.55
% 4.20/4.55
% 4.20/4.55 Intermediate Status:
% 4.20/4.55 Generated: 88557
% 4.20/4.55 Kept: 17251
% 4.20/4.55 Inuse: 1618
% 4.20/4.55 Deleted: 285
% 4.20/4.55 Deletedinuse: 64
% 4.20/4.55
% 4.20/4.55 Resimplifying inuse:
% 4.20/4.55 Done
% 4.20/4.55
% 4.20/4.55 Resimplifying inuse:
% 4.20/4.55 Done
% 4.20/4.55
% 4.20/4.55 *** allocated 1297440 integers for clauses
% 4.20/4.55
% 4.20/4.55 Intermediate Status:
% 4.20/4.55 Generated: 94100
% 4.20/4.55 Kept: 19763
% 4.20/4.55 Inuse: 1671
% 4.20/4.55 Deleted: 289
% 4.20/4.55 Deletedinuse: 64
% 4.20/4.55
% 4.20/4.55 Resimplifying inuse:
% 4.20/4.55 Done
% 4.20/4.55
% 4.20/4.55 Resimplifying clauses:
% 4.20/4.55 Done
% 4.20/4.55
% 4.20/4.55
% 4.20/4.55 Bliksems!, er is een bewijs:
% 4.20/4.55 % SZS status Theorem
% 4.20/4.55 % SZS output start Refutation
% 4.20/4.55
% 4.20/4.55 (21) {G0,W6,D2,L2,V2,M2} I { id( Y, X ), ! id( X, Y ) }.
% 4.20/4.55 (22) {G0,W9,D2,L3,V3,M3} I { id( X, Z ), ! id( Y, Z ), ! id( X, Y ) }.
% 4.20/4.55 (24) {G0,W5,D2,L2,V2,M1} I { r1( Y ), alpha5( X, Y ) }.
% 4.20/4.55 (25) {G0,W8,D2,L3,V2,M1} I { ! id( X, Y ), ! r1( X ), ! alpha5( X, Y ) }.
% 4.20/4.55 (47) {G0,W5,D3,L1,V2,M1} I { r2( Y, skol18( Z, Y ) ) }.
% 4.20/4.55 (48) {G0,W8,D3,L1,V2,M1} I { r3( X, skol18( X, Y ), skol12( X, Y ) ) }.
% 4.20/4.55 (57) {G0,W4,D3,L1,V1,M1} I { id( skol7( X ), X ) }.
% 4.20/4.55 (59) {G0,W6,D3,L1,V1,M1} I { r3( X, skol14( X ), skol7( X ) ) }.
% 4.20/4.55 (69) {G0,W8,D2,L3,V3,M1} I { ! r1( Y ), ! id( Y, X ), ! r2( Z, X ) }.
% 4.20/4.55 (70) {G0,W10,D3,L3,V4,M1} I { r1( skol17( Y ) ), ! id( Z, T ), ! r3( skol11
% 4.20/4.55 , X, Z ) }.
% 4.20/4.55 (71) {G0,W11,D3,L3,V3,M1} I { id( X, skol17( X ) ), ! id( Y, Z ), ! r3(
% 4.20/4.55 skol11, X, Y ) }.
% 4.20/4.55 (86) {G1,W4,D3,L1,V1,M1} R(21,57) { id( X, skol7( X ) ) }.
% 4.20/4.55 (128) {G1,W7,D3,L2,V3,M1} R(69,47) { ! r1( X ), ! id( X, skol18( Y, Z ) )
% 4.20/4.55 }.
% 4.20/4.55 (170) {G2,W7,D3,L2,V2,M2} R(22,86) { ! id( X, Y ), id( X, skol7( Y ) ) }.
% 4.20/4.55 (186) {G2,W7,D3,L2,V3,M1} R(128,21) { ! r1( X ), ! id( skol18( Y, Z ), X )
% 4.20/4.56 }.
% 4.20/4.56 (189) {G1,W7,D2,L3,V2,M1} R(25,24) { ! r1( X ), r1( Y ), ! id( X, Y ) }.
% 4.20/4.56 (196) {G2,W5,D3,L2,V1,M2} R(189,86) { r1( skol7( X ) ), ! r1( X ) }.
% 4.20/4.56 (481) {G3,W8,D3,L2,V3,M1} R(170,186) { ! r1( skol7( Z ) ), ! id( skol18( X
% 4.20/4.56 , Y ), Z ) }.
% 4.20/4.56 (504) {G3,W5,D4,L1,V1,M1} R(170,86) { id( X, skol7( skol7( X ) ) ) }.
% 4.20/4.56 (509) {G4,W6,D5,L1,V1,M1} R(504,170) { id( X, skol7( skol7( skol7( X ) ) )
% 4.20/4.56 ) }.
% 4.20/4.56 (566) {G1,W7,D3,L2,V2,M1} R(70,59) { r1( skol17( X ) ), ! id( skol7( skol11
% 4.20/4.56 ), Y ) }.
% 4.20/4.56 (568) {G5,W7,D6,L1,V1,M1} R(509,170) { id( X, skol7( skol7( skol7( skol7( X
% 4.20/4.56 ) ) ) ) ) }.
% 4.20/4.56 (576) {G5,W3,D3,L1,V1,M1} R(566,509) { r1( skol17( X ) ) }.
% 4.20/4.56 (578) {G6,W4,D4,L1,V1,M1} R(576,196) { r1( skol7( skol17( X ) ) ) }.
% 4.20/4.56 (579) {G1,W13,D4,L2,V2,M2} R(71,48) { ! id( skol12( skol11, X ), Y ), id(
% 4.20/4.56 skol18( skol11, X ), skol17( skol18( skol11, X ) ) ) }.
% 4.20/4.56 (20424) {G7,W5,D3,L1,V2,M1} R(579,481);r(578) { ! id( skol12( skol11, X ),
% 4.20/4.56 Y ) }.
% 4.20/4.56 (20426) {G8,W0,D0,L0,V0,M0} R(20424,568) { }.
% 4.20/4.56
% 4.20/4.56
% 4.20/4.56 % SZS output end Refutation
% 4.20/4.56 found a proof!
% 4.20/4.56
% 4.20/4.56
% 4.20/4.56 Unprocessed initial clauses:
% 4.20/4.56
% 4.20/4.56 (20428) {G0,W5,D2,L2,V1,M2} { alpha1( skol1, X ), ! r1( X ) }.
% 4.20/4.56 (20429) {G0,W6,D2,L2,V1,M2} { alpha1( skol1, X ), ! id( X, skol1 ) }.
% 4.20/4.56 (20430) {G0,W6,D2,L2,V2,M2} { ! alpha1( X, Y ), id( Y, X ) }.
% 4.20/4.56 (20431) {G0,W5,D2,L2,V2,M2} { ! alpha1( X, Y ), r1( Y ) }.
% 4.20/4.56 (20432) {G0,W8,D2,L3,V2,M3} { ! id( Y, X ), ! r1( Y ), alpha1( X, Y ) }.
% 4.20/4.56 (20433) {G0,W8,D3,L2,V2,M2} { alpha2( X, skol2( X ), Y ), ! r2( X, Y ) }.
% 4.20/4.56 (20434) {G0,W9,D3,L2,V2,M2} { alpha2( X, skol2( X ), Y ), ! id( Y, skol2(
% 4.20/4.56 X ) ) }.
% 4.20/4.56 (20435) {G0,W7,D2,L2,V3,M2} { ! alpha2( X, Y, Z ), id( Z, Y ) }.
% 4.20/4.56 (20436) {G0,W7,D2,L2,V3,M2} { ! alpha2( X, Y, Z ), r2( X, Z ) }.
% 4.20/4.56 (20437) {G0,W10,D2,L3,V3,M3} { ! id( Z, Y ), ! r2( X, Z ), alpha2( X, Y, Z
% 4.20/4.56 ) }.
% 4.20/4.56 (20438) {G0,W11,D3,L2,V3,M2} { alpha3( X, Y, skol3( X, Y ), Z ), ! r3( X,
% 4.20/4.56 Y, Z ) }.
% 4.20/4.56 (20439) {G0,W12,D3,L2,V3,M2} { alpha3( X, Y, skol3( X, Y ), Z ), ! id( Z,
% 4.20/4.56 skol3( X, Y ) ) }.
% 4.20/4.56 (20440) {G0,W8,D2,L2,V4,M2} { ! alpha3( X, Y, Z, T ), id( T, Z ) }.
% 4.20/4.56 (20441) {G0,W9,D2,L2,V4,M2} { ! alpha3( X, Y, Z, T ), r3( X, Y, T ) }.
% 4.20/4.56 (20442) {G0,W12,D2,L3,V4,M3} { ! id( T, Z ), ! r3( X, Y, T ), alpha3( X, Y
% 4.20/4.56 , Z, T ) }.
% 4.20/4.56 (20443) {G0,W11,D3,L2,V3,M2} { alpha4( X, Y, skol4( X, Y ), Z ), ! r4( X,
% 4.20/4.56 Y, Z ) }.
% 4.20/4.56 (20444) {G0,W12,D3,L2,V3,M2} { alpha4( X, Y, skol4( X, Y ), Z ), ! id( Z,
% 4.20/4.56 skol4( X, Y ) ) }.
% 4.20/4.56 (20445) {G0,W8,D2,L2,V4,M2} { ! alpha4( X, Y, Z, T ), id( T, Z ) }.
% 4.20/4.56 (20446) {G0,W9,D2,L2,V4,M2} { ! alpha4( X, Y, Z, T ), r4( X, Y, T ) }.
% 4.20/4.56 (20447) {G0,W12,D2,L3,V4,M3} { ! id( T, Z ), ! r4( X, Y, T ), alpha4( X, Y
% 4.20/4.56 , Z, T ) }.
% 4.20/4.56 (20448) {G0,W3,D2,L1,V1,M1} { id( X, X ) }.
% 4.20/4.56 (20449) {G0,W6,D2,L2,V2,M2} { ! id( X, Y ), id( Y, X ) }.
% 4.20/4.56 (20450) {G0,W9,D2,L3,V3,M3} { ! id( X, Y ), id( X, Z ), ! id( Y, Z ) }.
% 4.20/4.56 (20451) {G0,W5,D2,L2,V2,M2} { alpha5( X, Y ), r1( X ) }.
% 4.20/4.56 (20452) {G0,W5,D2,L2,V2,M2} { alpha5( X, Y ), r1( Y ) }.
% 4.20/4.56 (20453) {G0,W8,D2,L3,V2,M3} { ! alpha5( X, Y ), ! id( X, Y ), ! r1( X )
% 4.20/4.56 }.
% 4.20/4.56 (20454) {G0,W8,D2,L3,V2,M3} { ! alpha5( X, Y ), ! id( X, Y ), ! r1( Y )
% 4.20/4.56 }.
% 4.20/4.56 (20455) {G0,W6,D2,L2,V2,M2} { id( X, Y ), alpha5( X, Y ) }.
% 4.20/4.56 (20456) {G0,W7,D2,L3,V2,M3} { r1( X ), r1( Y ), alpha5( X, Y ) }.
% 4.20/4.56 (20457) {G0,W11,D2,L3,V4,M3} { ! id( X, Y ), alpha6( X, Y, Z, T ), r2( X,
% 4.20/4.56 Z ) }.
% 4.20/4.56 (20458) {G0,W11,D2,L3,V4,M3} { ! id( X, Y ), alpha6( X, Y, Z, T ), r2( Y,
% 4.20/4.56 T ) }.
% 4.20/4.56 (20459) {G0,W11,D2,L3,V4,M3} { ! alpha6( X, Y, Z, T ), ! id( Z, T ), ! r2
% 4.20/4.56 ( X, Z ) }.
% 4.20/4.56 (20460) {G0,W11,D2,L3,V4,M3} { ! alpha6( X, Y, Z, T ), ! id( Z, T ), ! r2
% 4.20/4.56 ( Y, T ) }.
% 4.20/4.56 (20461) {G0,W8,D2,L2,V4,M2} { id( Z, T ), alpha6( X, Y, Z, T ) }.
% 4.20/4.56 (20462) {G0,W11,D2,L3,V4,M3} { r2( X, Z ), r2( Y, T ), alpha6( X, Y, Z, T
% 4.20/4.56 ) }.
% 4.20/4.56 (20463) {G0,W17,D2,L4,V6,M4} { ! id( X, Y ), ! id( Z, T ), alpha7( X, Y, Z
% 4.20/4.56 , T, U, W ), r3( X, Z, U ) }.
% 4.20/4.56 (20464) {G0,W17,D2,L4,V6,M4} { ! id( X, Y ), ! id( Z, T ), alpha7( X, Y, Z
% 4.20/4.56 , T, U, W ), r3( Y, T, W ) }.
% 4.20/4.56 (20465) {G0,W14,D2,L3,V6,M3} { ! alpha7( X, Y, Z, T, U, W ), ! id( U, W )
% 4.20/4.56 , ! r3( X, Z, U ) }.
% 4.20/4.56 (20466) {G0,W14,D2,L3,V6,M3} { ! alpha7( X, Y, Z, T, U, W ), ! id( U, W )
% 4.20/4.56 , ! r3( Y, T, W ) }.
% 4.20/4.56 (20467) {G0,W10,D2,L2,V6,M2} { id( U, W ), alpha7( X, Y, Z, T, U, W ) }.
% 4.20/4.56 (20468) {G0,W15,D2,L3,V6,M3} { r3( X, Z, U ), r3( Y, T, W ), alpha7( X, Y
% 4.20/4.56 , Z, T, U, W ) }.
% 4.20/4.56 (20469) {G0,W17,D2,L4,V6,M4} { ! id( X, Y ), ! id( Z, T ), alpha8( X, Y, Z
% 4.20/4.56 , T, U, W ), r4( X, Z, U ) }.
% 4.20/4.56 (20470) {G0,W17,D2,L4,V6,M4} { ! id( X, Y ), ! id( Z, T ), alpha8( X, Y, Z
% 4.20/4.56 , T, U, W ), r4( Y, T, W ) }.
% 4.20/4.56 (20471) {G0,W14,D2,L3,V6,M3} { ! alpha8( X, Y, Z, T, U, W ), ! id( U, W )
% 4.20/4.56 , ! r4( X, Z, U ) }.
% 4.20/4.56 (20472) {G0,W14,D2,L3,V6,M3} { ! alpha8( X, Y, Z, T, U, W ), ! id( U, W )
% 4.20/4.56 , ! r4( Y, T, W ) }.
% 4.20/4.56 (20473) {G0,W10,D2,L2,V6,M2} { id( U, W ), alpha8( X, Y, Z, T, U, W ) }.
% 4.20/4.56 (20474) {G0,W15,D2,L3,V6,M3} { r4( X, Z, U ), r4( Y, T, W ), alpha8( X, Y
% 4.20/4.56 , Z, T, U, W ) }.
% 4.20/4.56 (20475) {G0,W7,D3,L1,V2,M1} { id( skol12( X, Y ), skol5( X, Y ) ) }.
% 4.20/4.56 (20476) {G0,W5,D3,L1,V2,M1} { r2( Y, skol18( Z, Y ) ) }.
% 4.20/4.56 (20477) {G0,W8,D3,L1,V2,M1} { r3( X, skol18( X, Y ), skol12( X, Y ) ) }.
% 4.20/4.56 (20478) {G0,W7,D3,L1,V2,M1} { r2( skol21( X, Y ), skol5( X, Y ) ) }.
% 4.20/4.56 (20479) {G0,W6,D3,L1,V2,M1} { r3( X, Y, skol21( X, Y ) ) }.
% 4.20/4.56 (20480) {G0,W7,D3,L1,V2,M1} { id( skol13( X, Y ), skol6( X, Y ) ) }.
% 4.20/4.56 (20481) {G0,W5,D3,L1,V2,M1} { r2( Y, skol19( Z, Y ) ) }.
% 4.20/4.56 (20482) {G0,W8,D3,L1,V2,M1} { r4( X, skol19( X, Y ), skol13( X, Y ) ) }.
% 4.20/4.56 (20483) {G0,W8,D3,L1,V2,M1} { r3( skol22( X, Y ), X, skol6( X, Y ) ) }.
% 4.20/4.56 (20484) {G0,W6,D3,L1,V2,M1} { r4( X, Y, skol22( X, Y ) ) }.
% 4.20/4.56 (20485) {G0,W12,D2,L4,V4,M4} { ! id( T, Z ), ! r2( X, T ), ! r2( Y, Z ),
% 4.20/4.56 id( X, Y ) }.
% 4.20/4.56 (20486) {G0,W4,D3,L1,V1,M1} { id( skol7( X ), X ) }.
% 4.20/4.56 (20487) {G0,W3,D3,L1,V1,M1} { r1( skol14( Y ) ) }.
% 4.20/4.56 (20488) {G0,W6,D3,L1,V1,M1} { r3( X, skol14( X ), skol7( X ) ) }.
% 4.20/4.56 (20489) {G0,W3,D3,L1,V1,M1} { r1( skol15( Z ) ) }.
% 4.20/4.56 (20490) {G0,W5,D3,L1,V1,M1} { id( skol8( Y ), skol15( Y ) ) }.
% 4.20/4.56 (20491) {G0,W3,D3,L1,V1,M1} { r1( skol20( Y ) ) }.
% 4.20/4.56 (20492) {G0,W6,D3,L1,V1,M1} { r4( X, skol20( X ), skol8( X ) ) }.
% 4.20/4.56 (20493) {G0,W7,D3,L2,V2,M2} { alpha9( X ), r2( skol16( Y ), skol9( Y ) )
% 4.20/4.56 }.
% 4.20/4.56 (20494) {G0,W6,D3,L2,V1,M2} { alpha9( X ), id( X, skol9( X ) ) }.
% 4.20/4.56 (20495) {G0,W5,D3,L2,V2,M2} { ! alpha9( X ), r1( skol10( Y ) ) }.
% 4.20/4.56 (20496) {G0,W6,D3,L2,V1,M2} { ! alpha9( X ), id( X, skol10( X ) ) }.
% 4.20/4.56 (20497) {G0,W7,D2,L3,V2,M3} { ! id( X, Y ), ! r1( Y ), alpha9( X ) }.
% 4.20/4.56 (20498) {G0,W8,D2,L3,V3,M3} { ! id( Y, X ), ! r1( Y ), ! r2( Z, X ) }.
% 4.20/4.56 (20499) {G0,W10,D3,L3,V4,M3} { r1( skol17( Y ) ), ! id( Z, T ), ! r3(
% 4.20/4.56 skol11, X, Z ) }.
% 4.20/4.56 (20500) {G0,W11,D3,L3,V3,M3} { id( X, skol17( X ) ), ! id( Y, Z ), ! r3(
% 4.20/4.56 skol11, X, Y ) }.
% 4.20/4.56
% 4.20/4.56
% 4.20/4.56 Total Proof:
% 4.20/4.56
% 4.20/4.56 subsumption: (21) {G0,W6,D2,L2,V2,M2} I { id( Y, X ), ! id( X, Y ) }.
% 4.20/4.56 parent0: (20449) {G0,W6,D2,L2,V2,M2} { ! id( X, Y ), id( Y, X ) }.
% 4.20/4.56 substitution0:
% 4.20/4.56 X := X
% 4.20/4.56 Y := Y
% 4.20/4.56 end
% 4.20/4.56 permutation0:
% 4.20/4.56 0 ==> 1
% 4.20/4.56 1 ==> 0
% 4.20/4.56 end
% 4.20/4.56
% 4.20/4.56 subsumption: (22) {G0,W9,D2,L3,V3,M3} I { id( X, Z ), ! id( Y, Z ), ! id( X
% 4.20/4.56 , Y ) }.
% 4.20/4.56 parent0: (20450) {G0,W9,D2,L3,V3,M3} { ! id( X, Y ), id( X, Z ), ! id( Y,
% 4.20/4.56 Z ) }.
% 4.20/4.56 substitution0:
% 4.20/4.56 X := X
% 4.20/4.56 Y := Y
% 4.20/4.56 Z := Z
% 4.20/4.56 end
% 4.20/4.56 permutation0:
% 4.20/4.56 0 ==> 2
% 4.20/4.56 1 ==> 0
% 4.20/4.56 2 ==> 1
% 4.20/4.56 end
% 4.20/4.56
% 4.20/4.56 subsumption: (24) {G0,W5,D2,L2,V2,M1} I { r1( Y ), alpha5( X, Y ) }.
% 4.20/4.56 parent0: (20452) {G0,W5,D2,L2,V2,M2} { alpha5( X, Y ), r1( Y ) }.
% 4.20/4.56 substitution0:
% 4.20/4.56 X := X
% 4.20/4.56 Y := Y
% 4.20/4.56 end
% 4.20/4.56 permutation0:
% 4.20/4.56 0 ==> 1
% 4.20/4.56 1 ==> 0
% 4.20/4.56 end
% 4.20/4.56
% 4.20/4.56 subsumption: (25) {G0,W8,D2,L3,V2,M1} I { ! id( X, Y ), ! r1( X ), ! alpha5
% 4.20/4.56 ( X, Y ) }.
% 4.20/4.56 parent0: (20453) {G0,W8,D2,L3,V2,M3} { ! alpha5( X, Y ), ! id( X, Y ), !
% 4.20/4.56 r1( X ) }.
% 4.20/4.56 substitution0:
% 4.20/4.56 X := X
% 4.20/4.56 Y := Y
% 4.20/4.56 end
% 4.20/4.56 permutation0:
% 4.20/4.56 0 ==> 2
% 4.20/4.56 1 ==> 0
% 4.20/4.56 2 ==> 1
% 4.20/4.56 end
% 4.20/4.56
% 4.20/4.56 subsumption: (47) {G0,W5,D3,L1,V2,M1} I { r2( Y, skol18( Z, Y ) ) }.
% 4.20/4.56 parent0: (20476) {G0,W5,D3,L1,V2,M1} { r2( Y, skol18( Z, Y ) ) }.
% 4.20/4.56 substitution0:
% 4.20/4.56 X := T
% 4.20/4.56 Y := Y
% 4.20/4.56 Z := Z
% 4.20/4.56 end
% 4.20/4.56 permutation0:
% 4.20/4.56 0 ==> 0
% 4.20/4.56 end
% 4.20/4.56
% 4.20/4.56 subsumption: (48) {G0,W8,D3,L1,V2,M1} I { r3( X, skol18( X, Y ), skol12( X
% 4.20/4.56 , Y ) ) }.
% 4.20/4.56 parent0: (20477) {G0,W8,D3,L1,V2,M1} { r3( X, skol18( X, Y ), skol12( X, Y
% 4.20/4.56 ) ) }.
% 4.20/4.56 substitution0:
% 4.20/4.56 X := X
% 4.20/4.56 Y := Y
% 4.20/4.56 end
% 4.20/4.56 permutation0:
% 4.20/4.56 0 ==> 0
% 4.20/4.56 end
% 4.20/4.56
% 4.20/4.56 subsumption: (57) {G0,W4,D3,L1,V1,M1} I { id( skol7( X ), X ) }.
% 4.20/4.56 parent0: (20486) {G0,W4,D3,L1,V1,M1} { id( skol7( X ), X ) }.
% 4.20/4.56 substitution0:
% 4.20/4.56 X := X
% 4.20/4.56 end
% 4.20/4.56 permutation0:
% 4.20/4.56 0 ==> 0
% 4.20/4.56 end
% 4.20/4.56
% 4.20/4.56 subsumption: (59) {G0,W6,D3,L1,V1,M1} I { r3( X, skol14( X ), skol7( X ) )
% 4.20/4.56 }.
% 4.20/4.56 parent0: (20488) {G0,W6,D3,L1,V1,M1} { r3( X, skol14( X ), skol7( X ) )
% 4.20/4.56 }.
% 4.20/4.56 substitution0:
% 4.20/4.56 X := X
% 4.20/4.56 end
% 4.20/4.56 permutation0:
% 4.20/4.56 0 ==> 0
% 4.20/4.56 end
% 4.20/4.56
% 4.20/4.56 subsumption: (69) {G0,W8,D2,L3,V3,M1} I { ! r1( Y ), ! id( Y, X ), ! r2( Z
% 4.20/4.56 , X ) }.
% 4.20/4.56 parent0: (20498) {G0,W8,D2,L3,V3,M3} { ! id( Y, X ), ! r1( Y ), ! r2( Z, X
% 4.20/4.56 ) }.
% 4.20/4.56 substitution0:
% 4.20/4.56 X := X
% 4.20/4.56 Y := Y
% 4.20/4.56 Z := Z
% 4.20/4.56 end
% 4.20/4.56 permutation0:
% 4.20/4.56 0 ==> 1
% 4.20/4.56 1 ==> 0
% 4.20/4.56 2 ==> 2
% 4.20/4.56 end
% 4.20/4.56
% 4.20/4.56 subsumption: (70) {G0,W10,D3,L3,V4,M1} I { r1( skol17( Y ) ), ! id( Z, T )
% 4.20/4.56 , ! r3( skol11, X, Z ) }.
% 4.20/4.56 parent0: (20499) {G0,W10,D3,L3,V4,M3} { r1( skol17( Y ) ), ! id( Z, T ), !
% 4.20/4.56 r3( skol11, X, Z ) }.
% 4.20/4.56 substitution0:
% 4.20/4.56 X := X
% 4.20/4.56 Y := Y
% 4.20/4.56 Z := Z
% 4.20/4.56 T := T
% 4.20/4.56 end
% 4.20/4.56 permutation0:
% 4.20/4.56 0 ==> 0
% 4.20/4.56 1 ==> 1
% 4.20/4.56 2 ==> 2
% 4.20/4.56 end
% 4.20/4.56
% 4.20/4.56 subsumption: (71) {G0,W11,D3,L3,V3,M1} I { id( X, skol17( X ) ), ! id( Y, Z
% 4.20/4.56 ), ! r3( skol11, X, Y ) }.
% 4.20/4.56 parent0: (20500) {G0,W11,D3,L3,V3,M3} { id( X, skol17( X ) ), ! id( Y, Z )
% 4.20/4.56 , ! r3( skol11, X, Y ) }.
% 4.20/4.56 substitution0:
% 4.20/4.56 X := X
% 4.20/4.56 Y := Y
% 4.20/4.56 Z := Z
% 4.20/4.56 end
% 4.20/4.56 permutation0:
% 4.20/4.56 0 ==> 0
% 4.20/4.56 1 ==> 1
% 4.20/4.56 2 ==> 2
% 4.20/4.56 end
% 4.20/4.56
% 4.20/4.56 resolution: (20572) {G1,W4,D3,L1,V1,M1} { id( X, skol7( X ) ) }.
% 4.20/4.56 parent0[1]: (21) {G0,W6,D2,L2,V2,M2} I { id( Y, X ), ! id( X, Y ) }.
% 4.20/4.56 parent1[0]: (57) {G0,W4,D3,L1,V1,M1} I { id( skol7( X ), X ) }.
% 4.20/4.56 substitution0:
% 4.20/4.56 X := skol7( X )
% 4.20/4.56 Y := X
% 4.20/4.56 end
% 4.20/4.56 substitution1:
% 4.20/4.56 X := X
% 4.20/4.56 end
% 4.20/4.56
% 4.20/4.56 subsumption: (86) {G1,W4,D3,L1,V1,M1} R(21,57) { id( X, skol7( X ) ) }.
% 4.20/4.56 parent0: (20572) {G1,W4,D3,L1,V1,M1} { id( X, skol7( X ) ) }.
% 4.20/4.56 substitution0:
% 4.20/4.56 X := X
% 4.20/4.56 end
% 4.20/4.56 permutation0:
% 4.20/4.56 0 ==> 0
% 4.20/4.56 end
% 4.20/4.56
% 4.20/4.56 resolution: (20573) {G1,W7,D3,L2,V3,M2} { ! r1( X ), ! id( X, skol18( Y, Z
% 4.20/4.56 ) ) }.
% 4.20/4.56 parent0[2]: (69) {G0,W8,D2,L3,V3,M1} I { ! r1( Y ), ! id( Y, X ), ! r2( Z,
% 4.20/4.56 X ) }.
% 4.20/4.56 parent1[0]: (47) {G0,W5,D3,L1,V2,M1} I { r2( Y, skol18( Z, Y ) ) }.
% 4.20/4.56 substitution0:
% 4.20/4.56 X := skol18( Y, Z )
% 4.20/4.56 Y := X
% 4.20/4.56 Z := Z
% 4.20/4.56 end
% 4.20/4.56 substitution1:
% 4.20/4.56 X := T
% 4.20/4.56 Y := Z
% 4.20/4.56 Z := Y
% 4.20/4.56 end
% 4.20/4.56
% 4.20/4.56 subsumption: (128) {G1,W7,D3,L2,V3,M1} R(69,47) { ! r1( X ), ! id( X,
% 4.20/4.56 skol18( Y, Z ) ) }.
% 4.20/4.56 parent0: (20573) {G1,W7,D3,L2,V3,M2} { ! r1( X ), ! id( X, skol18( Y, Z )
% 4.20/4.56 ) }.
% 4.20/4.56 substitution0:
% 4.20/4.56 X := X
% 4.20/4.56 Y := Y
% 4.20/4.56 Z := Z
% 4.20/4.56 end
% 4.20/4.56 permutation0:
% 4.20/4.56 0 ==> 0
% 4.20/4.56 1 ==> 1
% 4.20/4.56 end
% 4.20/4.56
% 4.20/4.56 resolution: (20574) {G1,W7,D3,L2,V2,M2} { id( X, skol7( Y ) ), ! id( X, Y
% 4.20/4.56 ) }.
% 4.20/4.56 parent0[1]: (22) {G0,W9,D2,L3,V3,M3} I { id( X, Z ), ! id( Y, Z ), ! id( X
% 4.20/4.56 , Y ) }.
% 4.20/4.56 parent1[0]: (86) {G1,W4,D3,L1,V1,M1} R(21,57) { id( X, skol7( X ) ) }.
% 4.20/4.56 substitution0:
% 4.20/4.56 X := X
% 4.20/4.56 Y := Y
% 4.20/4.56 Z := skol7( Y )
% 4.20/4.56 end
% 4.20/4.56 substitution1:
% 4.20/4.56 X := Y
% 4.20/4.56 end
% 4.20/4.56
% 4.20/4.56 subsumption: (170) {G2,W7,D3,L2,V2,M2} R(22,86) { ! id( X, Y ), id( X,
% 4.20/4.56 skol7( Y ) ) }.
% 4.20/4.56 parent0: (20574) {G1,W7,D3,L2,V2,M2} { id( X, skol7( Y ) ), ! id( X, Y )
% 4.20/4.56 }.
% 4.20/4.56 substitution0:
% 4.20/4.56 X := X
% 4.20/4.56 Y := Y
% 4.20/4.56 end
% 4.20/4.56 permutation0:
% 4.20/4.56 0 ==> 1
% 4.20/4.56 1 ==> 0
% 4.20/4.56 end
% 4.20/4.56
% 4.20/4.56 resolution: (20576) {G1,W7,D3,L2,V3,M2} { ! r1( X ), ! id( skol18( Y, Z )
% 4.20/4.56 , X ) }.
% 4.20/4.56 parent0[1]: (128) {G1,W7,D3,L2,V3,M1} R(69,47) { ! r1( X ), ! id( X, skol18
% 4.20/4.56 ( Y, Z ) ) }.
% 4.20/4.56 parent1[0]: (21) {G0,W6,D2,L2,V2,M2} I { id( Y, X ), ! id( X, Y ) }.
% 4.20/4.56 substitution0:
% 4.20/4.56 X := X
% 4.20/4.56 Y := Y
% 4.20/4.56 Z := Z
% 4.20/4.56 end
% 4.20/4.56 substitution1:
% 4.20/4.56 X := skol18( Y, Z )
% 4.20/4.56 Y := X
% 4.20/4.56 end
% 4.20/4.56
% 4.20/4.56 subsumption: (186) {G2,W7,D3,L2,V3,M1} R(128,21) { ! r1( X ), ! id( skol18
% 4.20/4.56 ( Y, Z ), X ) }.
% 4.20/4.56 parent0: (20576) {G1,W7,D3,L2,V3,M2} { ! r1( X ), ! id( skol18( Y, Z ), X
% 4.20/4.56 ) }.
% 4.20/4.56 substitution0:
% 4.20/4.56 X := X
% 4.20/4.56 Y := Y
% 4.20/4.56 Z := Z
% 4.20/4.56 end
% 4.20/4.56 permutation0:
% 4.20/4.56 0 ==> 0
% 4.20/4.56 1 ==> 1
% 4.20/4.56 end
% 4.20/4.56
% 4.20/4.56 resolution: (20578) {G1,W7,D2,L3,V2,M3} { ! id( X, Y ), ! r1( X ), r1( Y )
% 4.20/4.56 }.
% 4.20/4.56 parent0[2]: (25) {G0,W8,D2,L3,V2,M1} I { ! id( X, Y ), ! r1( X ), ! alpha5
% 4.20/4.56 ( X, Y ) }.
% 4.20/4.56 parent1[1]: (24) {G0,W5,D2,L2,V2,M1} I { r1( Y ), alpha5( X, Y ) }.
% 4.20/4.56 substitution0:
% 4.20/4.56 X := X
% 4.20/4.56 Y := Y
% 4.20/4.56 end
% 4.20/4.56 substitution1:
% 4.20/4.56 X := X
% 4.20/4.56 Y := Y
% 4.20/4.56 end
% 4.20/4.56
% 4.20/4.56 subsumption: (189) {G1,W7,D2,L3,V2,M1} R(25,24) { ! r1( X ), r1( Y ), ! id
% 4.20/4.56 ( X, Y ) }.
% 4.20/4.56 parent0: (20578) {G1,W7,D2,L3,V2,M3} { ! id( X, Y ), ! r1( X ), r1( Y )
% 4.20/4.56 }.
% 4.20/4.56 substitution0:
% 4.20/4.56 X := X
% 4.20/4.56 Y := Y
% 4.20/4.56 end
% 4.20/4.56 permutation0:
% 4.20/4.56 0 ==> 2
% 4.20/4.56 1 ==> 0
% 4.20/4.56 2 ==> 1
% 4.20/4.56 end
% 4.20/4.56
% 4.20/4.56 resolution: (20579) {G2,W5,D3,L2,V1,M2} { ! r1( X ), r1( skol7( X ) ) }.
% 4.20/4.56 parent0[2]: (189) {G1,W7,D2,L3,V2,M1} R(25,24) { ! r1( X ), r1( Y ), ! id(
% 4.20/4.56 X, Y ) }.
% 4.20/4.56 parent1[0]: (86) {G1,W4,D3,L1,V1,M1} R(21,57) { id( X, skol7( X ) ) }.
% 4.20/4.56 substitution0:
% 4.20/4.56 X := X
% 4.20/4.56 Y := skol7( X )
% 4.20/4.56 end
% 4.20/4.56 substitution1:
% 4.20/4.56 X := X
% 4.20/4.56 end
% 4.20/4.56
% 4.20/4.56 subsumption: (196) {G2,W5,D3,L2,V1,M2} R(189,86) { r1( skol7( X ) ), ! r1(
% 4.20/4.56 X ) }.
% 4.20/4.56 parent0: (20579) {G2,W5,D3,L2,V1,M2} { ! r1( X ), r1( skol7( X ) ) }.
% 4.20/4.56 substitution0:
% 4.20/4.56 X := X
% 4.20/4.56 end
% 4.20/4.56 permutation0:
% 4.20/4.56 0 ==> 1
% 4.20/4.56 1 ==> 0
% 4.20/4.56 end
% 4.20/4.56
% 4.20/4.56 resolution: (20580) {G3,W8,D3,L2,V3,M2} { ! r1( skol7( X ) ), ! id( skol18
% 4.20/4.56 ( Y, Z ), X ) }.
% 4.20/4.56 parent0[1]: (186) {G2,W7,D3,L2,V3,M1} R(128,21) { ! r1( X ), ! id( skol18(
% 4.20/4.56 Y, Z ), X ) }.
% 4.20/4.56 parent1[1]: (170) {G2,W7,D3,L2,V2,M2} R(22,86) { ! id( X, Y ), id( X, skol7
% 4.20/4.56 ( Y ) ) }.
% 4.20/4.56 substitution0:
% 4.20/4.56 X := skol7( X )
% 4.20/4.56 Y := Y
% 4.20/4.56 Z := Z
% 4.20/4.56 end
% 4.20/4.56 substitution1:
% 4.20/4.56 X := skol18( Y, Z )
% 4.20/4.56 Y := X
% 4.20/4.56 end
% 4.20/4.56
% 4.20/4.56 subsumption: (481) {G3,W8,D3,L2,V3,M1} R(170,186) { ! r1( skol7( Z ) ), !
% 4.20/4.56 id( skol18( X, Y ), Z ) }.
% 4.20/4.56 parent0: (20580) {G3,W8,D3,L2,V3,M2} { ! r1( skol7( X ) ), ! id( skol18( Y
% 4.20/4.56 , Z ), X ) }.
% 4.20/4.56 substitution0:
% 4.20/4.56 X := Z
% 4.20/4.56 Y := X
% 4.20/4.56 Z := Y
% 4.20/4.56 end
% 4.20/4.56 permutation0:
% 4.20/4.56 0 ==> 0
% 4.20/4.56 1 ==> 1
% 4.20/4.56 end
% 4.20/4.56
% 4.20/4.56 resolution: (20581) {G2,W5,D4,L1,V1,M1} { id( X, skol7( skol7( X ) ) ) }.
% 4.20/4.56 parent0[0]: (170) {G2,W7,D3,L2,V2,M2} R(22,86) { ! id( X, Y ), id( X, skol7
% 4.20/4.56 ( Y ) ) }.
% 4.20/4.56 parent1[0]: (86) {G1,W4,D3,L1,V1,M1} R(21,57) { id( X, skol7( X ) ) }.
% 4.20/4.56 substitution0:
% 4.20/4.56 X := X
% 4.20/4.56 Y := skol7( X )
% 4.20/4.56 end
% 4.20/4.56 substitution1:
% 4.20/4.56 X := X
% 4.20/4.56 end
% 4.20/4.56
% 4.20/4.56 subsumption: (504) {G3,W5,D4,L1,V1,M1} R(170,86) { id( X, skol7( skol7( X )
% 4.20/4.56 ) ) }.
% 4.20/4.56 parent0: (20581) {G2,W5,D4,L1,V1,M1} { id( X, skol7( skol7( X ) ) ) }.
% 4.20/4.56 substitution0:
% 4.20/4.56 X := X
% 4.20/4.56 end
% 4.20/4.56 permutation0:
% 4.20/4.56 0 ==> 0
% 4.20/4.56 end
% 4.20/4.56
% 4.20/4.56 resolution: (20582) {G3,W6,D5,L1,V1,M1} { id( X, skol7( skol7( skol7( X )
% 4.20/4.56 ) ) ) }.
% 4.20/4.56 parent0[0]: (170) {G2,W7,D3,L2,V2,M2} R(22,86) { ! id( X, Y ), id( X, skol7
% 4.20/4.56 ( Y ) ) }.
% 4.20/4.56 parent1[0]: (504) {G3,W5,D4,L1,V1,M1} R(170,86) { id( X, skol7( skol7( X )
% 4.20/4.56 ) ) }.
% 4.20/4.56 substitution0:
% 4.20/4.56 X := X
% 4.20/4.56 Y := skol7( skol7( X ) )
% 4.20/4.56 end
% 4.20/4.56 substitution1:
% 4.20/4.56 X := X
% 4.20/4.56 end
% 4.20/4.56
% 4.20/4.56 subsumption: (509) {G4,W6,D5,L1,V1,M1} R(504,170) { id( X, skol7( skol7(
% 4.20/4.56 skol7( X ) ) ) ) }.
% 4.20/4.56 parent0: (20582) {G3,W6,D5,L1,V1,M1} { id( X, skol7( skol7( skol7( X ) ) )
% 4.20/4.56 ) }.
% 4.20/4.56 substitution0:
% 4.20/4.56 X := X
% 4.20/4.56 end
% 4.20/4.56 permutation0:
% 4.20/4.56 0 ==> 0
% 4.20/4.56 end
% 4.20/4.56
% 4.20/4.56 resolution: (20583) {G1,W7,D3,L2,V2,M2} { r1( skol17( X ) ), ! id( skol7(
% 4.20/4.56 skol11 ), Y ) }.
% 4.20/4.56 parent0[2]: (70) {G0,W10,D3,L3,V4,M1} I { r1( skol17( Y ) ), ! id( Z, T ),
% 4.20/4.56 ! r3( skol11, X, Z ) }.
% 4.20/4.56 parent1[0]: (59) {G0,W6,D3,L1,V1,M1} I { r3( X, skol14( X ), skol7( X ) )
% 4.20/4.56 }.
% 4.20/4.56 substitution0:
% 4.20/4.56 X := skol14( skol11 )
% 4.20/4.56 Y := X
% 4.20/4.56 Z := skol7( skol11 )
% 4.20/4.56 T := Y
% 4.20/4.56 end
% 4.20/4.56 substitution1:
% 4.20/4.56 X := skol11
% 4.20/4.56 end
% 4.20/4.56
% 4.20/4.56 subsumption: (566) {G1,W7,D3,L2,V2,M1} R(70,59) { r1( skol17( X ) ), ! id(
% 4.20/4.56 skol7( skol11 ), Y ) }.
% 4.20/4.56 parent0: (20583) {G1,W7,D3,L2,V2,M2} { r1( skol17( X ) ), ! id( skol7(
% 4.20/4.56 skol11 ), Y ) }.
% 4.20/4.56 substitution0:
% 4.20/4.56 X := X
% 4.20/4.56 Y := Y
% 4.20/4.56 end
% 4.20/4.56 permutation0:
% 4.20/4.56 0 ==> 0
% 4.20/4.56 1 ==> 1
% 4.20/4.56 end
% 4.20/4.56
% 4.20/4.56 resolution: (20584) {G3,W7,D6,L1,V1,M1} { id( X, skol7( skol7( skol7(
% 4.20/4.56 skol7( X ) ) ) ) ) }.
% 4.20/4.56 parent0[0]: (170) {G2,W7,D3,L2,V2,M2} R(22,86) { ! id( X, Y ), id( X, skol7
% 4.20/4.56 ( Y ) ) }.
% 4.20/4.56 parent1[0]: (509) {G4,W6,D5,L1,V1,M1} R(504,170) { id( X, skol7( skol7(
% 4.20/4.56 skol7( X ) ) ) ) }.
% 4.20/4.56 substitution0:
% 4.20/4.56 X := X
% 4.20/4.56 Y := skol7( skol7( skol7( X ) ) )
% 4.20/4.56 end
% 4.20/4.56 substitution1:
% 4.20/4.56 X := X
% 4.20/4.56 end
% 4.20/4.56
% 4.20/4.56 subsumption: (568) {G5,W7,D6,L1,V1,M1} R(509,170) { id( X, skol7( skol7(
% 4.20/4.56 skol7( skol7( X ) ) ) ) ) }.
% 4.20/4.56 parent0: (20584) {G3,W7,D6,L1,V1,M1} { id( X, skol7( skol7( skol7( skol7(
% 4.20/4.56 X ) ) ) ) ) }.
% 4.20/4.56 substitution0:
% 4.20/4.56 X := X
% 4.20/4.56 end
% 4.20/4.56 permutation0:
% 4.20/4.56 0 ==> 0
% 4.20/4.56 end
% 4.20/4.56
% 4.20/4.56 resolution: (20585) {G2,W3,D3,L1,V1,M1} { r1( skol17( X ) ) }.
% 4.20/4.56 parent0[1]: (566) {G1,W7,D3,L2,V2,M1} R(70,59) { r1( skol17( X ) ), ! id(
% 4.20/4.56 skol7( skol11 ), Y ) }.
% 4.20/4.56 parent1[0]: (509) {G4,W6,D5,L1,V1,M1} R(504,170) { id( X, skol7( skol7(
% 4.20/4.56 skol7( X ) ) ) ) }.
% 4.20/4.56 substitution0:
% 4.20/4.56 X := X
% 4.20/4.56 Y := skol7( skol7( skol7( skol7( skol11 ) ) ) )
% 4.20/4.56 end
% 4.20/4.56 substitution1:
% 4.20/4.56 X := skol7( skol11 )
% 4.20/4.56 end
% 4.20/4.56
% 4.20/4.56 subsumption: (576) {G5,W3,D3,L1,V1,M1} R(566,509) { r1( skol17( X ) ) }.
% 4.20/4.56 parent0: (20585) {G2,W3,D3,L1,V1,M1} { r1( skol17( X ) ) }.
% 4.20/4.56 substitution0:
% 4.20/4.56 X := X
% 4.20/4.56 end
% 4.20/4.56 permutation0:
% 4.20/4.56 0 ==> 0
% 4.20/4.56 end
% 4.20/4.56
% 4.20/4.56 resolution: (20586) {G3,W4,D4,L1,V1,M1} { r1( skol7( skol17( X ) ) ) }.
% 4.20/4.56 parent0[1]: (196) {G2,W5,D3,L2,V1,M2} R(189,86) { r1( skol7( X ) ), ! r1( X
% 4.20/4.56 ) }.
% 4.20/4.56 parent1[0]: (576) {G5,W3,D3,L1,V1,M1} R(566,509) { r1( skol17( X ) ) }.
% 4.20/4.56 substitution0:
% 4.20/4.56 X := skol17( X )
% 4.20/4.56 end
% 4.20/4.56 substitution1:
% 4.20/4.56 X := X
% 4.20/4.56 end
% 4.20/4.56
% 4.20/4.56 subsumption: (578) {G6,W4,D4,L1,V1,M1} R(576,196) { r1( skol7( skol17( X )
% 4.20/4.56 ) ) }.
% 4.20/4.56 parent0: (20586) {G3,W4,D4,L1,V1,M1} { r1( skol7( skol17( X ) ) ) }.
% 4.20/4.56 substitution0:
% 4.20/4.56 X := X
% 4.20/4.56 end
% 4.20/4.56 permutation0:
% 4.20/4.56 0 ==> 0
% 4.20/4.56 end
% 4.20/4.56
% 4.20/4.56 resolution: (20587) {G1,W13,D4,L2,V2,M2} { id( skol18( skol11, X ), skol17
% 4.20/4.56 ( skol18( skol11, X ) ) ), ! id( skol12( skol11, X ), Y ) }.
% 4.20/4.56 parent0[2]: (71) {G0,W11,D3,L3,V3,M1} I { id( X, skol17( X ) ), ! id( Y, Z
% 4.20/4.56 ), ! r3( skol11, X, Y ) }.
% 4.20/4.56 parent1[0]: (48) {G0,W8,D3,L1,V2,M1} I { r3( X, skol18( X, Y ), skol12( X,
% 4.20/4.56 Y ) ) }.
% 4.20/4.56 substitution0:
% 4.20/4.56 X := skol18( skol11, X )
% 4.20/4.56 Y := skol12( skol11, X )
% 4.20/4.56 Z := Y
% 4.20/4.56 end
% 4.20/4.56 substitution1:
% 4.20/4.56 X := skol11
% 4.20/4.56 Y := X
% 4.20/4.56 end
% 4.20/4.56
% 4.20/4.56 subsumption: (579) {G1,W13,D4,L2,V2,M2} R(71,48) { ! id( skol12( skol11, X
% 4.20/4.56 ), Y ), id( skol18( skol11, X ), skol17( skol18( skol11, X ) ) ) }.
% 4.20/4.56 parent0: (20587) {G1,W13,D4,L2,V2,M2} { id( skol18( skol11, X ), skol17(
% 4.20/4.56 skol18( skol11, X ) ) ), ! id( skol12( skol11, X ), Y ) }.
% 4.20/4.56 substitution0:
% 4.20/4.56 X := X
% 4.20/4.56 Y := Y
% 4.20/4.56 end
% 4.20/4.56 permutation0:
% 4.20/4.56 0 ==> 1
% 4.20/4.56 1 ==> 0
% 4.20/4.56 end
% 4.20/4.56
% 4.20/4.56 resolution: (20588) {G2,W11,D5,L2,V2,M2} { ! r1( skol7( skol17( skol18(
% 4.20/4.56 skol11, X ) ) ) ), ! id( skol12( skol11, X ), Y ) }.
% 4.20/4.56 parent0[1]: (481) {G3,W8,D3,L2,V3,M1} R(170,186) { ! r1( skol7( Z ) ), ! id
% 4.20/4.56 ( skol18( X, Y ), Z ) }.
% 4.20/4.56 parent1[1]: (579) {G1,W13,D4,L2,V2,M2} R(71,48) { ! id( skol12( skol11, X )
% 4.20/4.56 , Y ), id( skol18( skol11, X ), skol17( skol18( skol11, X ) ) ) }.
% 4.20/4.56 substitution0:
% 4.20/4.56 X := skol11
% 4.20/4.56 Y := X
% 4.20/4.56 Z := skol17( skol18( skol11, X ) )
% 4.20/4.56 end
% 4.20/4.56 substitution1:
% 4.20/4.56 X := X
% 4.20/4.56 Y := Y
% 4.20/4.56 end
% 4.20/4.56
% 4.20/4.56 resolution: (20589) {G3,W5,D3,L1,V2,M1} { ! id( skol12( skol11, X ), Y )
% 4.20/4.56 }.
% 4.20/4.56 parent0[0]: (20588) {G2,W11,D5,L2,V2,M2} { ! r1( skol7( skol17( skol18(
% 4.20/4.56 skol11, X ) ) ) ), ! id( skol12( skol11, X ), Y ) }.
% 4.20/4.56 parent1[0]: (578) {G6,W4,D4,L1,V1,M1} R(576,196) { r1( skol7( skol17( X ) )
% 4.20/4.56 ) }.
% 4.20/4.56 substitution0:
% 4.20/4.56 X := X
% 4.20/4.56 Y := Y
% 4.20/4.56 end
% 4.20/4.56 substitution1:
% 4.20/4.56 X := skol18( skol11, X )
% 4.20/4.56 end
% 4.20/4.56
% 4.20/4.56 subsumption: (20424) {G7,W5,D3,L1,V2,M1} R(579,481);r(578) { ! id( skol12(
% 4.20/4.56 skol11, X ), Y ) }.
% 4.20/4.56 parent0: (20589) {G3,W5,D3,L1,V2,M1} { ! id( skol12( skol11, X ), Y ) }.
% 4.20/4.56 substitution0:
% 4.20/4.56 X := X
% 4.20/4.56 Y := Y
% 4.20/4.56 end
% 4.20/4.56 permutation0:
% 4.20/4.56 0 ==> 0
% 4.20/4.56 end
% 4.20/4.56
% 4.20/4.56 resolution: (20590) {G6,W0,D0,L0,V0,M0} { }.
% 4.20/4.56 parent0[0]: (20424) {G7,W5,D3,L1,V2,M1} R(579,481);r(578) { ! id( skol12(
% 4.20/4.56 skol11, X ), Y ) }.
% 4.20/4.56 parent1[0]: (568) {G5,W7,D6,L1,V1,M1} R(509,170) { id( X, skol7( skol7(
% 4.20/4.56 skol7( skol7( X ) ) ) ) ) }.
% 4.20/4.56 substitution0:
% 4.20/4.56 X := X
% 4.20/4.56 Y := skol7( skol7( skol7( skol7( skol12( skol11, X ) ) ) ) )
% 4.20/4.56 end
% 4.20/4.56 substitution1:
% 4.20/4.56 X := skol12( skol11, X )
% 4.20/4.56 end
% 4.20/4.56
% 4.20/4.56 subsumption: (20426) {G8,W0,D0,L0,V0,M0} R(20424,568) { }.
% 4.20/4.56 parent0: (20590) {G6,W0,D0,L0,V0,M0} { }.
% 4.20/4.56 substitution0:
% 4.20/4.56 end
% 4.20/4.56 permutation0:
% 4.20/4.56 end
% 4.20/4.56
% 4.20/4.56 Proof check complete!
% 4.20/4.56
% 4.20/4.56 Memory use:
% 4.20/4.56
% 4.20/4.56 space for terms: 230529
% 4.20/4.56 space for clauses: 927653
% 4.20/4.56
% 4.20/4.56
% 4.20/4.56 clauses generated: 95798
% 4.20/4.56 clauses kept: 20427
% 4.20/4.56 clauses selected: 1682
% 4.20/4.56 clauses deleted: 498
% 4.20/4.56 clauses inuse deleted: 64
% 4.20/4.56
% 4.20/4.56 subsentry: 1435151
% 4.20/4.56 literals s-matched: 432082
% 4.20/4.56 literals matched: 431119
% 4.20/4.56 full subsumption: 178186
% 4.20/4.56
% 4.20/4.56 checksum: -1809104877
% 4.20/4.56
% 4.20/4.56
% 4.20/4.56 Bliksem ended
%------------------------------------------------------------------------------