TSTP Solution File: NUN084+2 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : NUN084+2 : TPTP v8.1.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n022.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 16:19:17 EDT 2022
% Result : Theorem 4.27s 4.65s
% Output : Refutation 4.27s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUN084+2 : TPTP v8.1.0. Released v7.3.0.
% 0.07/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n022.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % DateTime : Thu Jun 2 05:26:22 EDT 2022
% 0.12/0.33 % CPUTime :
% 4.27/4.65 *** allocated 10000 integers for termspace/termends
% 4.27/4.65 *** allocated 10000 integers for clauses
% 4.27/4.65 *** allocated 10000 integers for justifications
% 4.27/4.65 Bliksem 1.12
% 4.27/4.65
% 4.27/4.65
% 4.27/4.65 Automatic Strategy Selection
% 4.27/4.65
% 4.27/4.65
% 4.27/4.65 Clauses:
% 4.27/4.65
% 4.27/4.65 { alpha1( skol1, X ), r1( X ) }.
% 4.27/4.65 { alpha1( skol1, X ), X = skol1 }.
% 4.27/4.65 { ! alpha1( X, Y ), ! r1( Y ) }.
% 4.27/4.65 { ! alpha1( X, Y ), ! Y = X }.
% 4.27/4.65 { r1( Y ), Y = X, alpha1( X, Y ) }.
% 4.27/4.65 { alpha2( X, skol2( X ), Y ), r2( X, Y ) }.
% 4.27/4.65 { alpha2( X, skol2( X ), Y ), Y = skol2( X ) }.
% 4.27/4.65 { ! alpha2( X, Y, Z ), ! r2( X, Z ) }.
% 4.27/4.65 { ! alpha2( X, Y, Z ), ! Z = Y }.
% 4.27/4.65 { r2( X, Z ), Z = Y, alpha2( X, Y, Z ) }.
% 4.27/4.65 { alpha3( X, Y, skol3( X, Y ), Z ), r3( X, Y, Z ) }.
% 4.27/4.65 { alpha3( X, Y, skol3( X, Y ), Z ), Z = skol3( X, Y ) }.
% 4.27/4.65 { ! alpha3( X, Y, Z, T ), ! r3( X, Y, T ) }.
% 4.27/4.65 { ! alpha3( X, Y, Z, T ), ! T = Z }.
% 4.27/4.65 { r3( X, Y, T ), T = Z, alpha3( X, Y, Z, T ) }.
% 4.27/4.65 { alpha4( X, Y, skol4( X, Y ), Z ), r4( X, Y, Z ) }.
% 4.27/4.65 { alpha4( X, Y, skol4( X, Y ), Z ), Z = skol4( X, Y ) }.
% 4.27/4.65 { ! alpha4( X, Y, Z, T ), ! r4( X, Y, T ) }.
% 4.27/4.65 { ! alpha4( X, Y, Z, T ), ! T = Z }.
% 4.27/4.65 { r4( X, Y, T ), T = Z, alpha4( X, Y, Z, T ) }.
% 4.27/4.65 { r2( Y, skol16( Z, Y ) ) }.
% 4.27/4.65 { r3( X, skol16( X, Y ), skol11( X, Y ) ) }.
% 4.27/4.65 { skol11( X, Y ) = skol5( X, Y ) }.
% 4.27/4.65 { r2( skol19( X, Y ), skol5( X, Y ) ) }.
% 4.27/4.65 { r3( X, Y, skol19( X, Y ) ) }.
% 4.27/4.65 { r2( Y, skol17( Z, Y ) ) }.
% 4.27/4.65 { r4( X, skol17( X, Y ), skol12( X, Y ) ) }.
% 4.27/4.65 { skol12( X, Y ) = skol6( X, Y ) }.
% 4.27/4.65 { r3( skol20( X, Y ), X, skol6( X, Y ) ) }.
% 4.27/4.65 { r4( X, Y, skol20( X, Y ) ) }.
% 4.27/4.65 { ! r2( X, T ), ! T = Z, ! r2( Y, Z ), X = Y }.
% 4.27/4.65 { r1( skol13( Y ) ) }.
% 4.27/4.65 { r3( X, skol13( X ), skol7( X ) ) }.
% 4.27/4.65 { skol7( X ) = X }.
% 4.27/4.65 { r1( skol14( Z ) ) }.
% 4.27/4.65 { skol8( Y ) = skol14( Y ) }.
% 4.27/4.65 { r1( skol18( Y ) ) }.
% 4.27/4.65 { r4( X, skol18( X ), skol8( X ) ) }.
% 4.27/4.65 { alpha5( X ), r2( skol15( Y ), skol9( Y ) ) }.
% 4.27/4.65 { alpha5( X ), X = skol9( X ) }.
% 4.27/4.65 { ! alpha5( X ), r1( skol10( Y ) ) }.
% 4.27/4.65 { ! alpha5( X ), X = skol10( X ) }.
% 4.27/4.65 { ! r1( Y ), ! X = Y, alpha5( X ) }.
% 4.27/4.65 { ! r1( Y ), ! Y = X, ! r2( Z, X ) }.
% 4.27/4.65 { ! r4( Y, Z, X ), ! X = T, ! r2( U, T ), ! r1( W ), ! r2( W, U ) }.
% 4.27/4.65
% 4.27/4.65 percentage equality = 0.273810, percentage horn = 0.688889
% 4.27/4.65 This is a problem with some equality
% 4.27/4.65
% 4.27/4.65
% 4.27/4.65
% 4.27/4.65 Options Used:
% 4.27/4.65
% 4.27/4.65 useres = 1
% 4.27/4.65 useparamod = 1
% 4.27/4.65 useeqrefl = 1
% 4.27/4.65 useeqfact = 1
% 4.27/4.65 usefactor = 1
% 4.27/4.65 usesimpsplitting = 0
% 4.27/4.65 usesimpdemod = 5
% 4.27/4.65 usesimpres = 3
% 4.27/4.65
% 4.27/4.65 resimpinuse = 1000
% 4.27/4.65 resimpclauses = 20000
% 4.27/4.65 substype = eqrewr
% 4.27/4.65 backwardsubs = 1
% 4.27/4.65 selectoldest = 5
% 4.27/4.65
% 4.27/4.65 litorderings [0] = split
% 4.27/4.65 litorderings [1] = extend the termordering, first sorting on arguments
% 4.27/4.65
% 4.27/4.65 termordering = kbo
% 4.27/4.65
% 4.27/4.65 litapriori = 0
% 4.27/4.65 termapriori = 1
% 4.27/4.65 litaposteriori = 0
% 4.27/4.65 termaposteriori = 0
% 4.27/4.65 demodaposteriori = 0
% 4.27/4.65 ordereqreflfact = 0
% 4.27/4.65
% 4.27/4.65 litselect = negord
% 4.27/4.65
% 4.27/4.65 maxweight = 15
% 4.27/4.65 maxdepth = 30000
% 4.27/4.65 maxlength = 115
% 4.27/4.65 maxnrvars = 195
% 4.27/4.65 excuselevel = 1
% 4.27/4.65 increasemaxweight = 1
% 4.27/4.65
% 4.27/4.65 maxselected = 10000000
% 4.27/4.65 maxnrclauses = 10000000
% 4.27/4.65
% 4.27/4.65 showgenerated = 0
% 4.27/4.65 showkept = 0
% 4.27/4.65 showselected = 0
% 4.27/4.65 showdeleted = 0
% 4.27/4.65 showresimp = 1
% 4.27/4.65 showstatus = 2000
% 4.27/4.65
% 4.27/4.65 prologoutput = 0
% 4.27/4.65 nrgoals = 5000000
% 4.27/4.65 totalproof = 1
% 4.27/4.65
% 4.27/4.65 Symbols occurring in the translation:
% 4.27/4.65
% 4.27/4.65 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 4.27/4.65 . [1, 2] (w:1, o:66, a:1, s:1, b:0),
% 4.27/4.65 ! [4, 1] (w:0, o:50, a:1, s:1, b:0),
% 4.27/4.65 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 4.27/4.65 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 4.27/4.65 r1 [37, 1] (w:1, o:55, a:1, s:1, b:0),
% 4.27/4.65 r2 [41, 2] (w:1, o:90, a:1, s:1, b:0),
% 4.27/4.65 r3 [46, 3] (w:1, o:102, a:1, s:1, b:0),
% 4.27/4.65 r4 [51, 3] (w:1, o:103, a:1, s:1, b:0),
% 4.27/4.65 alpha1 [82, 2] (w:1, o:91, a:1, s:1, b:1),
% 4.27/4.65 alpha2 [83, 3] (w:1, o:104, a:1, s:1, b:1),
% 4.27/4.65 alpha3 [84, 4] (w:1, o:105, a:1, s:1, b:1),
% 4.27/4.65 alpha4 [85, 4] (w:1, o:106, a:1, s:1, b:1),
% 4.27/4.65 alpha5 [86, 1] (w:1, o:56, a:1, s:1, b:1),
% 4.27/4.65 skol1 [87, 0] (w:1, o:49, a:1, s:1, b:1),
% 4.27/4.65 skol2 [88, 1] (w:1, o:62, a:1, s:1, b:1),
% 4.27/4.65 skol3 [89, 2] (w:1, o:93, a:1, s:1, b:1),
% 4.27/4.65 skol4 [90, 2] (w:1, o:94, a:1, s:1, b:1),
% 4.27/4.65 skol5 [91, 2] (w:1, o:95, a:1, s:1, b:1),
% 4.27/4.65 skol6 [92, 2] (w:1, o:96, a:1, s:1, b:1),
% 4.27/4.65 skol7 [93, 1] (w:1, o:63, a:1, s:1, b:1),
% 4.27/4.65 skol8 [94, 1] (w:1, o:64, a:1, s:1, b:1),
% 4.27/4.65 skol9 [95, 1] (w:1, o:65, a:1, s:1, b:1),
% 4.27/4.65 skol10 [96, 1] (w:1, o:57, a:1, s:1, b:1),
% 4.27/4.65 skol11 [97, 2] (w:1, o:97, a:1, s:1, b:1),
% 4.27/4.65 skol12 [98, 2] (w:1, o:98, a:1, s:1, b:1),
% 4.27/4.65 skol13 [99, 1] (w:1, o:58, a:1, s:1, b:1),
% 4.27/4.65 skol14 [100, 1] (w:1, o:59, a:1, s:1, b:1),
% 4.27/4.65 skol15 [101, 1] (w:1, o:60, a:1, s:1, b:1),
% 4.27/4.65 skol16 [102, 2] (w:1, o:99, a:1, s:1, b:1),
% 4.27/4.65 skol17 [103, 2] (w:1, o:100, a:1, s:1, b:1),
% 4.27/4.65 skol18 [104, 1] (w:1, o:61, a:1, s:1, b:1),
% 4.27/4.65 skol19 [105, 2] (w:1, o:101, a:1, s:1, b:1),
% 4.27/4.65 skol20 [106, 2] (w:1, o:92, a:1, s:1, b:1).
% 4.27/4.65
% 4.27/4.65
% 4.27/4.65 Starting Search:
% 4.27/4.65
% 4.27/4.65 *** allocated 15000 integers for clauses
% 4.27/4.65 *** allocated 22500 integers for clauses
% 4.27/4.65 *** allocated 33750 integers for clauses
% 4.27/4.65 *** allocated 50625 integers for clauses
% 4.27/4.65 *** allocated 15000 integers for termspace/termends
% 4.27/4.65 Resimplifying inuse:
% 4.27/4.65 Done
% 4.27/4.65
% 4.27/4.65 *** allocated 75937 integers for clauses
% 4.27/4.65 *** allocated 22500 integers for termspace/termends
% 4.27/4.65 *** allocated 113905 integers for clauses
% 4.27/4.65 *** allocated 33750 integers for termspace/termends
% 4.27/4.65
% 4.27/4.65 Intermediate Status:
% 4.27/4.65 Generated: 7096
% 4.27/4.65 Kept: 2012
% 4.27/4.65 Inuse: 209
% 4.27/4.65 Deleted: 43
% 4.27/4.65 Deletedinuse: 25
% 4.27/4.65
% 4.27/4.65 Resimplifying inuse:
% 4.27/4.65 Done
% 4.27/4.65
% 4.27/4.65 *** allocated 170857 integers for clauses
% 4.27/4.65 *** allocated 50625 integers for termspace/termends
% 4.27/4.65 Resimplifying inuse:
% 4.27/4.65 Done
% 4.27/4.65
% 4.27/4.65 *** allocated 75937 integers for termspace/termends
% 4.27/4.65
% 4.27/4.65 Intermediate Status:
% 4.27/4.65 Generated: 16417
% 4.27/4.65 Kept: 4018
% 4.27/4.65 Inuse: 286
% 4.27/4.65 Deleted: 70
% 4.27/4.65 Deletedinuse: 43
% 4.27/4.65
% 4.27/4.65 *** allocated 256285 integers for clauses
% 4.27/4.65 Resimplifying inuse:
% 4.27/4.65 Done
% 4.27/4.65
% 4.27/4.65 Resimplifying inuse:
% 4.27/4.65 Done
% 4.27/4.65
% 4.27/4.65 *** allocated 113905 integers for termspace/termends
% 4.27/4.65
% 4.27/4.65 Intermediate Status:
% 4.27/4.65 Generated: 24715
% 4.27/4.65 Kept: 6055
% 4.27/4.65 Inuse: 343
% 4.27/4.65 Deleted: 85
% 4.27/4.65 Deletedinuse: 48
% 4.27/4.65
% 4.27/4.65 Resimplifying inuse:
% 4.27/4.65 Done
% 4.27/4.65
% 4.27/4.65 *** allocated 384427 integers for clauses
% 4.27/4.65 Resimplifying inuse:
% 4.27/4.65 Done
% 4.27/4.65
% 4.27/4.65
% 4.27/4.65 Intermediate Status:
% 4.27/4.65 Generated: 36702
% 4.27/4.65 Kept: 8091
% 4.27/4.65 Inuse: 416
% 4.27/4.65 Deleted: 104
% 4.27/4.65 Deletedinuse: 48
% 4.27/4.65
% 4.27/4.65 Resimplifying inuse:
% 4.27/4.65 Done
% 4.27/4.65
% 4.27/4.65 *** allocated 170857 integers for termspace/termends
% 4.27/4.65 *** allocated 576640 integers for clauses
% 4.27/4.65 Resimplifying inuse:
% 4.27/4.65 Done
% 4.27/4.65
% 4.27/4.65
% 4.27/4.65 Intermediate Status:
% 4.27/4.65 Generated: 45083
% 4.27/4.65 Kept: 10575
% 4.27/4.65 Inuse: 458
% 4.27/4.65 Deleted: 105
% 4.27/4.65 Deletedinuse: 49
% 4.27/4.65
% 4.27/4.65 Resimplifying inuse:
% 4.27/4.65 Done
% 4.27/4.65
% 4.27/4.65 Resimplifying inuse:
% 4.27/4.65 Done
% 4.27/4.65
% 4.27/4.65
% 4.27/4.65 Intermediate Status:
% 4.27/4.65 Generated: 57101
% 4.27/4.65 Kept: 12628
% 4.27/4.65 Inuse: 520
% 4.27/4.65 Deleted: 114
% 4.27/4.65 Deletedinuse: 49
% 4.27/4.65
% 4.27/4.65 Resimplifying inuse:
% 4.27/4.65 Done
% 4.27/4.65
% 4.27/4.65 *** allocated 256285 integers for termspace/termends
% 4.27/4.65 Resimplifying inuse:
% 4.27/4.65 Done
% 4.27/4.65
% 4.27/4.65
% 4.27/4.65 Intermediate Status:
% 4.27/4.65 Generated: 69674
% 4.27/4.65 Kept: 14676
% 4.27/4.65 Inuse: 574
% 4.27/4.65 Deleted: 120
% 4.27/4.65 Deletedinuse: 49
% 4.27/4.65
% 4.27/4.65 *** allocated 864960 integers for clauses
% 4.27/4.65 Resimplifying inuse:
% 4.27/4.65 Done
% 4.27/4.65
% 4.27/4.65 Resimplifying inuse:
% 4.27/4.65 Done
% 4.27/4.65
% 4.27/4.65
% 4.27/4.65 Intermediate Status:
% 4.27/4.65 Generated: 86712
% 4.27/4.65 Kept: 16686
% 4.27/4.65 Inuse: 612
% 4.27/4.65 Deleted: 123
% 4.27/4.65 Deletedinuse: 49
% 4.27/4.65
% 4.27/4.65 Resimplifying inuse:
% 4.27/4.65 Done
% 4.27/4.65
% 4.27/4.65 Resimplifying inuse:
% 4.27/4.65 Done
% 4.27/4.65
% 4.27/4.65
% 4.27/4.65 Intermediate Status:
% 4.27/4.65 Generated: 103672
% 4.27/4.65 Kept: 18703
% 4.27/4.65 Inuse: 669
% 4.27/4.65 Deleted: 125
% 4.27/4.65 Deletedinuse: 50
% 4.27/4.65
% 4.27/4.65 Resimplifying inuse:
% 4.27/4.65 Done
% 4.27/4.65
% 4.27/4.65 *** allocated 384427 integers for termspace/termends
% 4.27/4.65 Resimplifying inuse:
% 4.27/4.65 Done
% 4.27/4.65
% 4.27/4.65 Resimplifying clauses:
% 4.27/4.65 Done
% 4.27/4.65
% 4.27/4.65
% 4.27/4.65 Intermediate Status:
% 4.27/4.65 Generated: 115476
% 4.27/4.65 Kept: 20745
% 4.27/4.65 Inuse: 712
% 4.27/4.65 Deleted: 1609
% 4.27/4.65 Deletedinuse: 50
% 4.27/4.65
% 4.27/4.65
% 4.27/4.65 Bliksems!, er is een bewijs:
% 4.27/4.65 % SZS status Theorem
% 4.27/4.65 % SZS output start Refutation
% 4.27/4.65
% 4.27/4.65 (0) {G0,W5,D2,L2,V1,M2} I { alpha1( skol1, X ), r1( X ) }.
% 4.27/4.65 (1) {G0,W6,D2,L2,V1,M2} I { alpha1( skol1, X ), X = skol1 }.
% 4.27/4.65 (2) {G0,W5,D2,L2,V2,M2} I { ! alpha1( X, Y ), ! r1( Y ) }.
% 4.27/4.65 (3) {G0,W6,D2,L2,V2,M2} I { ! alpha1( X, Y ), ! Y = X }.
% 4.27/4.65 (5) {G0,W8,D3,L2,V2,M2} I { alpha2( X, skol2( X ), Y ), r2( X, Y ) }.
% 4.27/4.65 (6) {G0,W9,D3,L2,V2,M2} I { alpha2( X, skol2( X ), Y ), Y = skol2( X ) }.
% 4.27/4.65 (7) {G0,W7,D2,L2,V3,M2} I { ! alpha2( X, Y, Z ), ! r2( X, Z ) }.
% 4.27/4.65 (8) {G0,W7,D2,L2,V3,M2} I { ! alpha2( X, Y, Z ), ! Z = Y }.
% 4.27/4.65 (11) {G0,W12,D3,L2,V3,M2} I { alpha3( X, Y, skol3( X, Y ), Z ), Z = skol3(
% 4.27/4.65 X, Y ) }.
% 4.27/4.65 (12) {G0,W9,D2,L2,V4,M2} I { ! alpha3( X, Y, Z, T ), ! r3( X, Y, T ) }.
% 4.27/4.65 (16) {G0,W12,D3,L2,V3,M2} I { alpha4( X, Y, skol4( X, Y ), Z ), Z = skol4(
% 4.27/4.65 X, Y ) }.
% 4.27/4.65 (17) {G0,W9,D2,L2,V4,M2} I { ! alpha4( X, Y, Z, T ), ! r4( X, Y, T ) }.
% 4.27/4.65 (20) {G0,W5,D3,L1,V2,M1} I { r2( Y, skol16( Z, Y ) ) }.
% 4.27/4.65 (21) {G0,W8,D3,L1,V2,M1} I { r3( X, skol16( X, Y ), skol11( X, Y ) ) }.
% 4.27/4.65 (22) {G0,W7,D3,L1,V2,M1} I { skol11( X, Y ) ==> skol5( X, Y ) }.
% 4.27/4.65 (23) {G0,W7,D3,L1,V2,M1} I { r2( skol19( X, Y ), skol5( X, Y ) ) }.
% 4.27/4.65 (24) {G0,W6,D3,L1,V2,M1} I { r3( X, Y, skol19( X, Y ) ) }.
% 4.27/4.65 (25) {G0,W5,D3,L1,V2,M1} I { r2( Y, skol17( Z, Y ) ) }.
% 4.27/4.65 (26) {G0,W8,D3,L1,V2,M1} I { r4( X, skol17( X, Y ), skol12( X, Y ) ) }.
% 4.27/4.65 (27) {G0,W7,D3,L1,V2,M1} I { skol12( X, Y ) ==> skol6( X, Y ) }.
% 4.27/4.65 (28) {G0,W8,D3,L1,V2,M1} I { r3( skol20( X, Y ), X, skol6( X, Y ) ) }.
% 4.27/4.65 (29) {G0,W6,D3,L1,V2,M1} I { r4( X, Y, skol20( X, Y ) ) }.
% 4.27/4.65 (30) {G0,W12,D2,L4,V4,M4} I { ! r2( X, T ), ! T = Z, ! r2( Y, Z ), X = Y
% 4.27/4.65 }.
% 4.27/4.65 (31) {G0,W3,D3,L1,V1,M1} I { r1( skol13( Y ) ) }.
% 4.27/4.65 (32) {G0,W6,D3,L1,V1,M1} I { r3( X, skol13( X ), skol7( X ) ) }.
% 4.27/4.65 (33) {G0,W4,D3,L1,V1,M1} I { skol7( X ) ==> X }.
% 4.27/4.65 (34) {G0,W3,D3,L1,V1,M1} I { r1( skol14( Z ) ) }.
% 4.27/4.65 (35) {G0,W5,D3,L1,V1,M1} I { skol8( Y ) ==> skol14( Y ) }.
% 4.27/4.65 (36) {G0,W3,D3,L1,V1,M1} I { r1( skol18( Y ) ) }.
% 4.27/4.65 (37) {G1,W6,D3,L1,V1,M1} I;d(35) { r4( X, skol18( X ), skol14( X ) ) }.
% 4.27/4.65 (38) {G0,W7,D3,L2,V2,M2} I { alpha5( X ), r2( skol15( Y ), skol9( Y ) ) }.
% 4.27/4.65 (39) {G0,W6,D3,L2,V1,M2} I { alpha5( X ), skol9( X ) ==> X }.
% 4.27/4.65 (40) {G0,W5,D3,L2,V2,M2} I { ! alpha5( X ), r1( skol10( Y ) ) }.
% 4.27/4.65 (41) {G0,W6,D3,L2,V1,M2} I { ! alpha5( X ), skol10( X ) ==> X }.
% 4.27/4.65 (42) {G0,W7,D2,L3,V2,M3} I { ! r1( Y ), ! X = Y, alpha5( X ) }.
% 4.27/4.65 (43) {G0,W8,D2,L3,V3,M3} I { ! r1( Y ), ! Y = X, ! r2( Z, X ) }.
% 4.27/4.65 (44) {G0,W15,D2,L5,V6,M5} I { ! r4( Y, Z, X ), ! X = T, ! r2( U, T ), ! r1
% 4.27/4.65 ( W ), ! r2( W, U ) }.
% 4.27/4.65 (45) {G1,W3,D2,L1,V1,M1} Q(3) { ! alpha1( X, X ) }.
% 4.27/4.65 (46) {G1,W4,D2,L1,V2,M1} Q(8) { ! alpha2( X, Y, Y ) }.
% 4.27/4.65 (50) {G1,W4,D2,L2,V1,M2} Q(42) { ! r1( X ), alpha5( X ) }.
% 4.27/4.65 (51) {G1,W5,D2,L2,V2,M2} Q(43) { ! r1( X ), ! r2( Y, X ) }.
% 4.27/4.65 (52) {G1,W12,D2,L4,V5,M4} Q(44) { ! r4( X, Y, Z ), ! r2( T, Z ), ! r1( U )
% 4.27/4.65 , ! r2( U, T ) }.
% 4.27/4.65 (53) {G2,W2,D2,L1,V0,M1} R(0,45) { r1( skol1 ) }.
% 4.27/4.65 (58) {G2,W3,D3,L1,V1,M1} R(50,36) { alpha5( skol18( X ) ) }.
% 4.27/4.65 (60) {G1,W5,D2,L2,V1,M2} R(2,1) { ! r1( X ), X = skol1 }.
% 4.27/4.65 (63) {G1,W4,D3,L1,V2,M1} R(2,31) { ! alpha1( X, skol13( Y ) ) }.
% 4.27/4.65 (64) {G1,W4,D3,L1,V2,M1} R(2,34) { ! alpha1( X, skol14( Y ) ) }.
% 4.27/4.65 (65) {G1,W4,D3,L1,V2,M1} R(2,36) { ! alpha1( X, skol18( Y ) ) }.
% 4.27/4.65 (66) {G2,W4,D3,L1,V1,M1} R(63,1) { skol13( X ) ==> skol1 }.
% 4.27/4.65 (67) {G2,W4,D3,L1,V1,M1} R(64,1) { skol14( X ) ==> skol1 }.
% 4.27/4.65 (68) {G2,W4,D3,L1,V1,M1} R(65,1) { skol18( X ) ==> skol1 }.
% 4.27/4.65 (69) {G1,W5,D2,L2,V1,M2} R(3,0) { ! X = skol1, r1( X ) }.
% 4.27/4.65 (73) {G3,W3,D2,L1,V1,M1} R(51,53) { ! r2( X, skol1 ) }.
% 4.27/4.65 (82) {G2,W4,D3,L1,V1,M1} R(5,46) { r2( X, skol2( X ) ) }.
% 4.27/4.65 (113) {G1,W6,D3,L1,V3,M1} R(7,25) { ! alpha2( X, Y, skol17( Z, X ) ) }.
% 4.27/4.65 (114) {G1,W7,D3,L2,V2,M2} R(7,6) { ! r2( X, Y ), Y = skol2( X ) }.
% 4.27/4.65 (118) {G1,W6,D3,L1,V3,M1} R(20,7) { ! alpha2( X, Y, skol16( Z, X ) ) }.
% 4.27/4.65 (126) {G1,W7,D3,L2,V2,M2} R(8,5) { ! X = skol2( Y ), r2( Y, X ) }.
% 4.27/4.65 (186) {G3,W3,D3,L1,V1,M1} R(40,58) { r1( skol10( X ) ) }.
% 4.27/4.65 (193) {G4,W4,D3,L1,V1,M1} R(186,60) { skol10( X ) ==> skol1 }.
% 4.27/4.65 (237) {G1,W9,D3,L2,V3,M2} R(12,11) { ! r3( X, Y, Z ), Z = skol3( X, Y ) }.
% 4.27/4.65 (248) {G2,W6,D3,L1,V2,M1} R(118,6) { skol16( X, Y ) ==> skol2( Y ) }.
% 4.27/4.65 (249) {G2,W6,D3,L1,V2,M1} R(113,6) { skol17( X, Y ) ==> skol2( Y ) }.
% 4.27/4.65 (306) {G1,W7,D3,L1,V3,M1} R(24,12) { ! alpha3( X, Y, Z, skol19( X, Y ) )
% 4.27/4.65 }.
% 4.27/4.65 (318) {G3,W4,D2,L1,V1,M1} S(37);d(68);d(67) { r4( X, skol1, skol1 ) }.
% 4.27/4.65 (338) {G3,W4,D2,L1,V1,M1} S(32);d(66);d(33) { r3( X, skol1, X ) }.
% 4.27/4.65 (374) {G4,W5,D2,L1,V2,M1} R(338,12) { ! alpha3( X, skol1, Y, X ) }.
% 4.27/4.65 (385) {G5,W5,D3,L1,V1,M1} R(374,11) { skol3( X, skol1 ) ==> X }.
% 4.27/4.65 (393) {G4,W5,D2,L1,V2,M1} R(17,318) { ! alpha4( X, skol1, Y, skol1 ) }.
% 4.27/4.65 (395) {G1,W7,D3,L1,V3,M1} R(17,29) { ! alpha4( X, Y, Z, skol20( X, Y ) )
% 4.27/4.65 }.
% 4.27/4.65 (396) {G5,W5,D3,L1,V1,M1} R(393,16) { skol4( X, skol1 ) ==> skol1 }.
% 4.27/4.65 (474) {G5,W5,D2,L2,V1,M2} S(41);d(193) { ! alpha5( X ), skol1 = X }.
% 4.27/4.65 (503) {G6,W5,D2,L2,V2,M2} P(474,73) { ! r2( Y, X ), ! alpha5( X ) }.
% 4.27/4.65 (506) {G6,W4,D2,L2,V1,M2} P(474,53) { r1( X ), ! alpha5( X ) }.
% 4.27/4.65 (508) {G3,W7,D3,L1,V2,M1} S(21);d(248);d(22) { r3( X, skol2( Y ), skol5( X
% 4.27/4.65 , Y ) ) }.
% 4.27/4.65 (520) {G7,W4,D3,L1,V2,M1} R(23,503) { ! alpha5( skol5( X, Y ) ) }.
% 4.27/4.65 (572) {G3,W7,D3,L1,V2,M1} S(26);d(249);d(27) { r4( X, skol2( Y ), skol6( X
% 4.27/4.65 , Y ) ) }.
% 4.27/4.65 (619) {G7,W6,D3,L2,V1,M2} R(39,506) { skol9( X ) ==> X, r1( X ) }.
% 4.27/4.65 (833) {G8,W5,D3,L1,V1,M1} R(38,520) { r2( skol15( X ), skol9( X ) ) }.
% 4.27/4.65 (885) {G9,W6,D3,L2,V1,M2} P(619,833) { r2( skol15( X ), X ), r1( X ) }.
% 4.27/4.65 (1083) {G10,W7,D3,L2,V2,M2} R(885,51) { r2( skol15( X ), X ), ! r2( Y, X )
% 4.27/4.65 }.
% 4.27/4.65 (1613) {G2,W7,D3,L1,V2,M1} R(395,16) { skol4( X, Y ) ==> skol20( X, Y ) }.
% 4.27/4.65 (1614) {G2,W7,D3,L1,V2,M1} R(306,11) { skol19( X, Y ) ==> skol3( X, Y ) }.
% 4.27/4.65 (1615) {G3,W7,D3,L1,V2,M1} P(1614,23) { r2( skol3( X, Y ), skol5( X, Y ) )
% 4.27/4.65 }.
% 4.27/4.65 (1643) {G6,W5,D3,L1,V1,M1} P(385,1615) { r2( X, skol5( X, skol1 ) ) }.
% 4.27/4.65 (1669) {G7,W6,D3,L1,V2,M1} R(1643,7) { ! alpha2( X, Y, skol5( X, skol1 ) )
% 4.27/4.65 }.
% 4.27/4.65 (1686) {G8,W6,D3,L1,V1,M1} R(1669,6) { skol5( X, skol1 ) ==> skol2( X ) }.
% 4.27/4.65 (1745) {G6,W5,D3,L1,V1,M1} P(1613,396) { skol20( X, skol1 ) ==> skol1 }.
% 4.27/4.65 (1747) {G7,W6,D3,L1,V1,M1} P(1745,28) { r3( skol1, X, skol6( X, skol1 ) )
% 4.27/4.65 }.
% 4.27/4.65 (1768) {G8,W7,D3,L1,V2,M1} R(1747,12) { ! alpha3( skol1, X, Y, skol6( X,
% 4.27/4.65 skol1 ) ) }.
% 4.27/4.65 (1811) {G9,W7,D3,L1,V1,M1} R(1768,11) { skol6( X, skol1 ) ==> skol3( skol1
% 4.27/4.65 , X ) }.
% 4.27/4.65 (1854) {G9,W6,D3,L1,V1,M1} P(1686,508) { r3( X, skol2( skol1 ), skol2( X )
% 4.27/4.65 ) }.
% 4.27/4.65 (1971) {G10,W7,D3,L1,V1,M1} P(1811,572) { r4( X, skol2( skol1 ), skol3(
% 4.27/4.65 skol1, X ) ) }.
% 4.27/4.65 (2374) {G11,W13,D3,L4,V4,M4} R(1083,30) { ! r2( X, Y ), ! Y = Z, ! r2( T, Z
% 4.27/4.65 ), skol15( Y ) = T }.
% 4.27/4.65 (2403) {G12,W7,D3,L2,V2,M2} F(2374);q { ! r2( X, Y ), skol15( Y ) = X }.
% 4.27/4.65 (2432) {G13,W5,D4,L1,V1,M1} R(2403,82) { skol15( skol2( X ) ) ==> X }.
% 4.27/4.65 (2435) {G13,W6,D3,L2,V1,M2} R(2403,69) { ! r2( skol1, X ), r1( skol15( X )
% 4.27/4.65 ) }.
% 4.27/4.65 (2776) {G14,W6,D3,L2,V1,M2} P(2432,2435) { ! r2( skol1, skol2( X ) ), r1( X
% 4.27/4.65 ) }.
% 4.27/4.65 (2819) {G15,W14,D3,L4,V5,M4} R(2776,52) { ! r2( skol1, skol2( X ) ), ! r4(
% 4.27/4.65 Y, Z, T ), ! r2( U, T ), ! r2( X, U ) }.
% 4.27/4.65 (2874) {G16,W8,D3,L2,V3,M2} F(2819);r(82) { ! r4( X, Y, Z ), ! r2( skol2(
% 4.27/4.65 skol1 ), Z ) }.
% 4.27/4.65 (17891) {G17,W6,D3,L1,V1,M1} R(2874,1971) { ! r2( skol2( skol1 ), skol3(
% 4.27/4.65 skol1, X ) ) }.
% 4.27/4.65 (19493) {G18,W8,D3,L2,V2,M2} P(237,17891) { ! r2( skol2( skol1 ), Y ), ! r3
% 4.27/4.65 ( skol1, X, Y ) }.
% 4.27/4.65 (20102) {G19,W6,D3,L1,V1,M1} R(19493,508) { ! r2( skol2( skol1 ), skol5(
% 4.27/4.65 skol1, X ) ) }.
% 4.27/4.65 (20198) {G20,W8,D3,L2,V2,M2} P(114,20102) { ! r2( X, skol5( skol1, Y ) ), !
% 4.27/4.65 r2( skol1, X ) }.
% 4.27/4.65 (20545) {G21,W5,D3,L1,V1,M1} R(20198,1615) { ! r2( skol1, skol3( skol1, X )
% 4.27/4.65 ) }.
% 4.27/4.65 (20615) {G22,W6,D3,L1,V1,M1} R(20545,126) { ! skol3( skol1, X ) ==> skol2(
% 4.27/4.65 skol1 ) }.
% 4.27/4.65 (20691) {G23,W8,D3,L2,V2,M2} P(237,20615) { ! Y = skol2( skol1 ), ! r3(
% 4.27/4.65 skol1, X, Y ) }.
% 4.27/4.65 (20744) {G24,W5,D3,L1,V1,M1} Q(20691) { ! r3( skol1, X, skol2( skol1 ) )
% 4.27/4.65 }.
% 4.27/4.65 (20745) {G25,W0,D0,L0,V0,M0} R(20744,1854) { }.
% 4.27/4.65
% 4.27/4.65
% 4.27/4.65 % SZS output end Refutation
% 4.27/4.65 found a proof!
% 4.27/4.65
% 4.27/4.65
% 4.27/4.65 Unprocessed initial clauses:
% 4.27/4.65
% 4.27/4.65 (20747) {G0,W5,D2,L2,V1,M2} { alpha1( skol1, X ), r1( X ) }.
% 4.27/4.65 (20748) {G0,W6,D2,L2,V1,M2} { alpha1( skol1, X ), X = skol1 }.
% 4.27/4.65 (20749) {G0,W5,D2,L2,V2,M2} { ! alpha1( X, Y ), ! r1( Y ) }.
% 4.27/4.65 (20750) {G0,W6,D2,L2,V2,M2} { ! alpha1( X, Y ), ! Y = X }.
% 4.27/4.65 (20751) {G0,W8,D2,L3,V2,M3} { r1( Y ), Y = X, alpha1( X, Y ) }.
% 4.27/4.65 (20752) {G0,W8,D3,L2,V2,M2} { alpha2( X, skol2( X ), Y ), r2( X, Y ) }.
% 4.27/4.65 (20753) {G0,W9,D3,L2,V2,M2} { alpha2( X, skol2( X ), Y ), Y = skol2( X )
% 4.27/4.65 }.
% 4.27/4.65 (20754) {G0,W7,D2,L2,V3,M2} { ! alpha2( X, Y, Z ), ! r2( X, Z ) }.
% 4.27/4.65 (20755) {G0,W7,D2,L2,V3,M2} { ! alpha2( X, Y, Z ), ! Z = Y }.
% 4.27/4.65 (20756) {G0,W10,D2,L3,V3,M3} { r2( X, Z ), Z = Y, alpha2( X, Y, Z ) }.
% 4.27/4.65 (20757) {G0,W11,D3,L2,V3,M2} { alpha3( X, Y, skol3( X, Y ), Z ), r3( X, Y
% 4.27/4.65 , Z ) }.
% 4.27/4.65 (20758) {G0,W12,D3,L2,V3,M2} { alpha3( X, Y, skol3( X, Y ), Z ), Z = skol3
% 4.27/4.65 ( X, Y ) }.
% 4.27/4.65 (20759) {G0,W9,D2,L2,V4,M2} { ! alpha3( X, Y, Z, T ), ! r3( X, Y, T ) }.
% 4.27/4.65 (20760) {G0,W8,D2,L2,V4,M2} { ! alpha3( X, Y, Z, T ), ! T = Z }.
% 4.27/4.65 (20761) {G0,W12,D2,L3,V4,M3} { r3( X, Y, T ), T = Z, alpha3( X, Y, Z, T )
% 4.27/4.65 }.
% 4.27/4.65 (20762) {G0,W11,D3,L2,V3,M2} { alpha4( X, Y, skol4( X, Y ), Z ), r4( X, Y
% 4.27/4.65 , Z ) }.
% 4.27/4.65 (20763) {G0,W12,D3,L2,V3,M2} { alpha4( X, Y, skol4( X, Y ), Z ), Z = skol4
% 4.27/4.65 ( X, Y ) }.
% 4.27/4.65 (20764) {G0,W9,D2,L2,V4,M2} { ! alpha4( X, Y, Z, T ), ! r4( X, Y, T ) }.
% 4.27/4.65 (20765) {G0,W8,D2,L2,V4,M2} { ! alpha4( X, Y, Z, T ), ! T = Z }.
% 4.27/4.65 (20766) {G0,W12,D2,L3,V4,M3} { r4( X, Y, T ), T = Z, alpha4( X, Y, Z, T )
% 4.27/4.65 }.
% 4.27/4.65 (20767) {G0,W5,D3,L1,V2,M1} { r2( Y, skol16( Z, Y ) ) }.
% 4.27/4.65 (20768) {G0,W8,D3,L1,V2,M1} { r3( X, skol16( X, Y ), skol11( X, Y ) ) }.
% 4.27/4.65 (20769) {G0,W7,D3,L1,V2,M1} { skol11( X, Y ) = skol5( X, Y ) }.
% 4.27/4.65 (20770) {G0,W7,D3,L1,V2,M1} { r2( skol19( X, Y ), skol5( X, Y ) ) }.
% 4.27/4.65 (20771) {G0,W6,D3,L1,V2,M1} { r3( X, Y, skol19( X, Y ) ) }.
% 4.27/4.65 (20772) {G0,W5,D3,L1,V2,M1} { r2( Y, skol17( Z, Y ) ) }.
% 4.27/4.65 (20773) {G0,W8,D3,L1,V2,M1} { r4( X, skol17( X, Y ), skol12( X, Y ) ) }.
% 4.27/4.65 (20774) {G0,W7,D3,L1,V2,M1} { skol12( X, Y ) = skol6( X, Y ) }.
% 4.27/4.65 (20775) {G0,W8,D3,L1,V2,M1} { r3( skol20( X, Y ), X, skol6( X, Y ) ) }.
% 4.27/4.65 (20776) {G0,W6,D3,L1,V2,M1} { r4( X, Y, skol20( X, Y ) ) }.
% 4.27/4.65 (20777) {G0,W12,D2,L4,V4,M4} { ! r2( X, T ), ! T = Z, ! r2( Y, Z ), X = Y
% 4.27/4.65 }.
% 4.27/4.65 (20778) {G0,W3,D3,L1,V1,M1} { r1( skol13( Y ) ) }.
% 4.27/4.65 (20779) {G0,W6,D3,L1,V1,M1} { r3( X, skol13( X ), skol7( X ) ) }.
% 4.27/4.65 (20780) {G0,W4,D3,L1,V1,M1} { skol7( X ) = X }.
% 4.27/4.65 (20781) {G0,W3,D3,L1,V1,M1} { r1( skol14( Z ) ) }.
% 4.27/4.65 (20782) {G0,W5,D3,L1,V1,M1} { skol8( Y ) = skol14( Y ) }.
% 4.27/4.65 (20783) {G0,W3,D3,L1,V1,M1} { r1( skol18( Y ) ) }.
% 4.27/4.65 (20784) {G0,W6,D3,L1,V1,M1} { r4( X, skol18( X ), skol8( X ) ) }.
% 4.27/4.65 (20785) {G0,W7,D3,L2,V2,M2} { alpha5( X ), r2( skol15( Y ), skol9( Y ) )
% 4.27/4.65 }.
% 4.27/4.65 (20786) {G0,W6,D3,L2,V1,M2} { alpha5( X ), X = skol9( X ) }.
% 4.27/4.65 (20787) {G0,W5,D3,L2,V2,M2} { ! alpha5( X ), r1( skol10( Y ) ) }.
% 4.27/4.65 (20788) {G0,W6,D3,L2,V1,M2} { ! alpha5( X ), X = skol10( X ) }.
% 4.27/4.65 (20789) {G0,W7,D2,L3,V2,M3} { ! r1( Y ), ! X = Y, alpha5( X ) }.
% 4.27/4.65 (20790) {G0,W8,D2,L3,V3,M3} { ! r1( Y ), ! Y = X, ! r2( Z, X ) }.
% 4.27/4.65 (20791) {G0,W15,D2,L5,V6,M5} { ! r4( Y, Z, X ), ! X = T, ! r2( U, T ), !
% 4.27/4.65 r1( W ), ! r2( W, U ) }.
% 4.27/4.65
% 4.27/4.65
% 4.27/4.65 Total Proof:
% 4.27/4.65
% 4.27/4.65 subsumption: (0) {G0,W5,D2,L2,V1,M2} I { alpha1( skol1, X ), r1( X ) }.
% 4.27/4.65 parent0: (20747) {G0,W5,D2,L2,V1,M2} { alpha1( skol1, X ), r1( X ) }.
% 4.27/4.65 substitution0:
% 4.27/4.65 X := X
% 4.27/4.65 end
% 4.27/4.65 permutation0:
% 4.27/4.65 0 ==> 0
% 4.27/4.65 1 ==> 1
% 4.27/4.65 end
% 4.27/4.65
% 4.27/4.65 subsumption: (1) {G0,W6,D2,L2,V1,M2} I { alpha1( skol1, X ), X = skol1 }.
% 4.27/4.65 parent0: (20748) {G0,W6,D2,L2,V1,M2} { alpha1( skol1, X ), X = skol1 }.
% 4.27/4.65 substitution0:
% 4.27/4.65 X := X
% 4.27/4.65 end
% 4.27/4.65 permutation0:
% 4.27/4.65 0 ==> 0
% 4.27/4.65 1 ==> 1
% 4.27/4.65 end
% 4.27/4.65
% 4.27/4.65 subsumption: (2) {G0,W5,D2,L2,V2,M2} I { ! alpha1( X, Y ), ! r1( Y ) }.
% 4.27/4.65 parent0: (20749) {G0,W5,D2,L2,V2,M2} { ! alpha1( X, Y ), ! r1( Y ) }.
% 4.27/4.65 substitution0:
% 4.27/4.65 X := X
% 4.27/4.65 Y := Y
% 4.27/4.65 end
% 4.27/4.65 permutation0:
% 4.27/4.65 0 ==> 0
% 4.27/4.65 1 ==> 1
% 4.27/4.65 end
% 4.27/4.65
% 4.27/4.65 subsumption: (3) {G0,W6,D2,L2,V2,M2} I { ! alpha1( X, Y ), ! Y = X }.
% 4.27/4.65 parent0: (20750) {G0,W6,D2,L2,V2,M2} { ! alpha1( X, Y ), ! Y = X }.
% 4.27/4.65 substitution0:
% 4.27/4.65 X := X
% 4.27/4.65 Y := Y
% 4.27/4.65 end
% 4.27/4.65 permutation0:
% 4.27/4.65 0 ==> 0
% 4.27/4.65 1 ==> 1
% 4.27/4.65 end
% 4.27/4.65
% 4.27/4.65 subsumption: (5) {G0,W8,D3,L2,V2,M2} I { alpha2( X, skol2( X ), Y ), r2( X
% 4.27/4.65 , Y ) }.
% 4.27/4.65 parent0: (20752) {G0,W8,D3,L2,V2,M2} { alpha2( X, skol2( X ), Y ), r2( X,
% 4.27/4.65 Y ) }.
% 4.27/4.65 substitution0:
% 4.27/4.65 X := X
% 4.27/4.65 Y := Y
% 4.27/4.65 end
% 4.27/4.65 permutation0:
% 4.27/4.65 0 ==> 0
% 4.27/4.65 1 ==> 1
% 4.27/4.65 end
% 4.27/4.65
% 4.27/4.65 subsumption: (6) {G0,W9,D3,L2,V2,M2} I { alpha2( X, skol2( X ), Y ), Y =
% 4.27/4.65 skol2( X ) }.
% 4.27/4.65 parent0: (20753) {G0,W9,D3,L2,V2,M2} { alpha2( X, skol2( X ), Y ), Y =
% 4.27/4.65 skol2( X ) }.
% 4.27/4.65 substitution0:
% 4.27/4.65 X := X
% 4.27/4.65 Y := Y
% 4.27/4.65 end
% 4.27/4.65 permutation0:
% 4.27/4.65 0 ==> 0
% 4.27/4.65 1 ==> 1
% 4.27/4.65 end
% 4.27/4.65
% 4.27/4.65 subsumption: (7) {G0,W7,D2,L2,V3,M2} I { ! alpha2( X, Y, Z ), ! r2( X, Z )
% 4.27/4.65 }.
% 4.27/4.65 parent0: (20754) {G0,W7,D2,L2,V3,M2} { ! alpha2( X, Y, Z ), ! r2( X, Z )
% 4.27/4.65 }.
% 4.27/4.65 substitution0:
% 4.27/4.65 X := X
% 4.27/4.65 Y := Y
% 4.27/4.65 Z := Z
% 4.27/4.65 end
% 4.27/4.65 permutation0:
% 4.27/4.65 0 ==> 0
% 4.27/4.65 1 ==> 1
% 4.27/4.65 end
% 4.27/4.65
% 4.27/4.65 subsumption: (8) {G0,W7,D2,L2,V3,M2} I { ! alpha2( X, Y, Z ), ! Z = Y }.
% 4.27/4.65 parent0: (20755) {G0,W7,D2,L2,V3,M2} { ! alpha2( X, Y, Z ), ! Z = Y }.
% 4.27/4.65 substitution0:
% 4.27/4.65 X := X
% 4.27/4.65 Y := Y
% 4.27/4.65 Z := Z
% 4.27/4.65 end
% 4.27/4.65 permutation0:
% 4.27/4.65 0 ==> 0
% 4.27/4.65 1 ==> 1
% 4.27/4.65 end
% 4.27/4.65
% 4.27/4.65 subsumption: (11) {G0,W12,D3,L2,V3,M2} I { alpha3( X, Y, skol3( X, Y ), Z )
% 4.27/4.65 , Z = skol3( X, Y ) }.
% 4.27/4.65 parent0: (20758) {G0,W12,D3,L2,V3,M2} { alpha3( X, Y, skol3( X, Y ), Z ),
% 4.27/4.65 Z = skol3( X, Y ) }.
% 4.27/4.65 substitution0:
% 4.27/4.65 X := X
% 4.27/4.65 Y := Y
% 4.27/4.65 Z := Z
% 4.27/4.65 end
% 4.27/4.65 permutation0:
% 4.27/4.65 0 ==> 0
% 4.27/4.65 1 ==> 1
% 4.27/4.65 end
% 4.27/4.65
% 4.27/4.65 subsumption: (12) {G0,W9,D2,L2,V4,M2} I { ! alpha3( X, Y, Z, T ), ! r3( X,
% 4.27/4.65 Y, T ) }.
% 4.27/4.65 parent0: (20759) {G0,W9,D2,L2,V4,M2} { ! alpha3( X, Y, Z, T ), ! r3( X, Y
% 4.27/4.65 , T ) }.
% 4.27/4.65 substitution0:
% 4.27/4.65 X := X
% 4.27/4.65 Y := Y
% 4.27/4.65 Z := Z
% 4.27/4.65 T := T
% 4.27/4.65 end
% 4.27/4.65 permutation0:
% 4.27/4.65 0 ==> 0
% 4.27/4.65 1 ==> 1
% 4.27/4.65 end
% 4.27/4.65
% 4.27/4.65 subsumption: (16) {G0,W12,D3,L2,V3,M2} I { alpha4( X, Y, skol4( X, Y ), Z )
% 4.27/4.65 , Z = skol4( X, Y ) }.
% 4.27/4.65 parent0: (20763) {G0,W12,D3,L2,V3,M2} { alpha4( X, Y, skol4( X, Y ), Z ),
% 4.27/4.65 Z = skol4( X, Y ) }.
% 4.27/4.65 substitution0:
% 4.27/4.65 X := X
% 4.27/4.65 Y := Y
% 4.27/4.65 Z := Z
% 4.27/4.65 end
% 4.27/4.65 permutation0:
% 4.27/4.65 0 ==> 0
% 4.27/4.65 1 ==> 1
% 4.27/4.65 end
% 4.27/4.65
% 4.27/4.65 subsumption: (17) {G0,W9,D2,L2,V4,M2} I { ! alpha4( X, Y, Z, T ), ! r4( X,
% 4.27/4.65 Y, T ) }.
% 4.27/4.65 parent0: (20764) {G0,W9,D2,L2,V4,M2} { ! alpha4( X, Y, Z, T ), ! r4( X, Y
% 4.27/4.65 , T ) }.
% 4.27/4.65 substitution0:
% 4.27/4.65 X := X
% 4.27/4.65 Y := Y
% 4.27/4.65 Z := Z
% 4.27/4.65 T := T
% 4.27/4.65 end
% 4.27/4.65 permutation0:
% 4.27/4.65 0 ==> 0
% 4.27/4.65 1 ==> 1
% 4.27/4.65 end
% 4.27/4.65
% 4.27/4.65 subsumption: (20) {G0,W5,D3,L1,V2,M1} I { r2( Y, skol16( Z, Y ) ) }.
% 4.27/4.65 parent0: (20767) {G0,W5,D3,L1,V2,M1} { r2( Y, skol16( Z, Y ) ) }.
% 4.27/4.65 substitution0:
% 4.27/4.65 X := T
% 4.27/4.65 Y := Y
% 4.27/4.65 Z := Z
% 4.27/4.65 end
% 4.27/4.65 permutation0:
% 4.27/4.65 0 ==> 0
% 4.27/4.65 end
% 4.27/4.65
% 4.27/4.65 subsumption: (21) {G0,W8,D3,L1,V2,M1} I { r3( X, skol16( X, Y ), skol11( X
% 4.27/4.65 , Y ) ) }.
% 4.27/4.65 parent0: (20768) {G0,W8,D3,L1,V2,M1} { r3( X, skol16( X, Y ), skol11( X, Y
% 4.27/4.65 ) ) }.
% 4.27/4.65 substitution0:
% 4.27/4.65 X := X
% 4.27/4.65 Y := Y
% 4.27/4.65 end
% 4.27/4.65 permutation0:
% 4.27/4.65 0 ==> 0
% 4.27/4.65 end
% 4.27/4.65
% 4.27/4.65 subsumption: (22) {G0,W7,D3,L1,V2,M1} I { skol11( X, Y ) ==> skol5( X, Y )
% 4.27/4.65 }.
% 4.27/4.65 parent0: (20769) {G0,W7,D3,L1,V2,M1} { skol11( X, Y ) = skol5( X, Y ) }.
% 4.27/4.65 substitution0:
% 4.27/4.65 X := X
% 4.27/4.65 Y := Y
% 4.27/4.65 end
% 4.27/4.65 permutation0:
% 4.27/4.65 0 ==> 0
% 4.27/4.65 end
% 4.27/4.65
% 4.27/4.65 subsumption: (23) {G0,W7,D3,L1,V2,M1} I { r2( skol19( X, Y ), skol5( X, Y )
% 4.27/4.65 ) }.
% 4.27/4.65 parent0: (20770) {G0,W7,D3,L1,V2,M1} { r2( skol19( X, Y ), skol5( X, Y ) )
% 4.27/4.65 }.
% 4.27/4.65 substitution0:
% 4.27/4.65 X := X
% 4.27/4.65 Y := Y
% 4.27/4.65 end
% 4.27/4.65 permutation0:
% 4.27/4.65 0 ==> 0
% 4.27/4.65 end
% 4.27/4.65
% 4.27/4.65 subsumption: (24) {G0,W6,D3,L1,V2,M1} I { r3( X, Y, skol19( X, Y ) ) }.
% 4.27/4.65 parent0: (20771) {G0,W6,D3,L1,V2,M1} { r3( X, Y, skol19( X, Y ) ) }.
% 4.27/4.65 substitution0:
% 4.27/4.65 X := X
% 4.27/4.65 Y := Y
% 4.27/4.66 end
% 4.27/4.66 permutation0:
% 4.27/4.66 0 ==> 0
% 4.27/4.66 end
% 4.27/4.66
% 4.27/4.66 subsumption: (25) {G0,W5,D3,L1,V2,M1} I { r2( Y, skol17( Z, Y ) ) }.
% 4.27/4.66 parent0: (20772) {G0,W5,D3,L1,V2,M1} { r2( Y, skol17( Z, Y ) ) }.
% 4.27/4.66 substitution0:
% 4.27/4.66 X := T
% 4.27/4.66 Y := Y
% 4.27/4.66 Z := Z
% 4.27/4.66 end
% 4.27/4.66 permutation0:
% 4.27/4.66 0 ==> 0
% 4.27/4.66 end
% 4.27/4.66
% 4.27/4.66 subsumption: (26) {G0,W8,D3,L1,V2,M1} I { r4( X, skol17( X, Y ), skol12( X
% 4.27/4.66 , Y ) ) }.
% 4.27/4.66 parent0: (20773) {G0,W8,D3,L1,V2,M1} { r4( X, skol17( X, Y ), skol12( X, Y
% 4.27/4.66 ) ) }.
% 4.27/4.66 substitution0:
% 4.27/4.66 X := X
% 4.27/4.66 Y := Y
% 4.27/4.66 end
% 4.27/4.66 permutation0:
% 4.27/4.66 0 ==> 0
% 4.27/4.66 end
% 4.27/4.66
% 4.27/4.66 subsumption: (27) {G0,W7,D3,L1,V2,M1} I { skol12( X, Y ) ==> skol6( X, Y )
% 4.27/4.66 }.
% 4.27/4.66 parent0: (20774) {G0,W7,D3,L1,V2,M1} { skol12( X, Y ) = skol6( X, Y ) }.
% 4.27/4.66 substitution0:
% 4.27/4.66 X := X
% 4.27/4.66 Y := Y
% 4.27/4.66 end
% 4.27/4.66 permutation0:
% 4.27/4.66 0 ==> 0
% 4.27/4.66 end
% 4.27/4.66
% 4.27/4.66 subsumption: (28) {G0,W8,D3,L1,V2,M1} I { r3( skol20( X, Y ), X, skol6( X,
% 4.27/4.66 Y ) ) }.
% 4.27/4.66 parent0: (20775) {G0,W8,D3,L1,V2,M1} { r3( skol20( X, Y ), X, skol6( X, Y
% 4.27/4.66 ) ) }.
% 4.27/4.66 substitution0:
% 4.27/4.66 X := X
% 4.27/4.66 Y := Y
% 4.27/4.66 end
% 4.27/4.66 permutation0:
% 4.27/4.66 0 ==> 0
% 4.27/4.66 end
% 4.27/4.66
% 4.27/4.66 subsumption: (29) {G0,W6,D3,L1,V2,M1} I { r4( X, Y, skol20( X, Y ) ) }.
% 4.27/4.66 parent0: (20776) {G0,W6,D3,L1,V2,M1} { r4( X, Y, skol20( X, Y ) ) }.
% 4.27/4.66 substitution0:
% 4.27/4.66 X := X
% 4.27/4.66 Y := Y
% 4.27/4.66 end
% 4.27/4.66 permutation0:
% 4.27/4.66 0 ==> 0
% 4.27/4.66 end
% 4.27/4.66
% 4.27/4.66 subsumption: (30) {G0,W12,D2,L4,V4,M4} I { ! r2( X, T ), ! T = Z, ! r2( Y,
% 4.27/4.66 Z ), X = Y }.
% 4.27/4.66 parent0: (20777) {G0,W12,D2,L4,V4,M4} { ! r2( X, T ), ! T = Z, ! r2( Y, Z
% 4.27/4.66 ), X = Y }.
% 4.27/4.66 substitution0:
% 4.27/4.66 X := X
% 4.27/4.66 Y := Y
% 4.27/4.66 Z := Z
% 4.27/4.66 T := T
% 4.27/4.66 end
% 4.27/4.66 permutation0:
% 4.27/4.66 0 ==> 0
% 4.27/4.66 1 ==> 1
% 4.27/4.66 2 ==> 2
% 4.27/4.66 3 ==> 3
% 4.27/4.66 end
% 4.27/4.66
% 4.27/4.66 subsumption: (31) {G0,W3,D3,L1,V1,M1} I { r1( skol13( Y ) ) }.
% 4.27/4.66 parent0: (20778) {G0,W3,D3,L1,V1,M1} { r1( skol13( Y ) ) }.
% 4.27/4.66 substitution0:
% 4.27/4.66 X := Z
% 4.27/4.66 Y := Y
% 4.27/4.66 end
% 4.27/4.66 permutation0:
% 4.27/4.66 0 ==> 0
% 4.27/4.66 end
% 4.27/4.66
% 4.27/4.66 subsumption: (32) {G0,W6,D3,L1,V1,M1} I { r3( X, skol13( X ), skol7( X ) )
% 4.27/4.66 }.
% 4.27/4.66 parent0: (20779) {G0,W6,D3,L1,V1,M1} { r3( X, skol13( X ), skol7( X ) )
% 4.27/4.66 }.
% 4.27/4.66 substitution0:
% 4.27/4.66 X := X
% 4.27/4.66 end
% 4.27/4.66 permutation0:
% 4.27/4.66 0 ==> 0
% 4.27/4.66 end
% 4.27/4.66
% 4.27/4.66 subsumption: (33) {G0,W4,D3,L1,V1,M1} I { skol7( X ) ==> X }.
% 4.27/4.66 parent0: (20780) {G0,W4,D3,L1,V1,M1} { skol7( X ) = X }.
% 4.27/4.66 substitution0:
% 4.27/4.66 X := X
% 4.27/4.66 end
% 4.27/4.66 permutation0:
% 4.27/4.66 0 ==> 0
% 4.27/4.66 end
% 4.27/4.66
% 4.27/4.66 subsumption: (34) {G0,W3,D3,L1,V1,M1} I { r1( skol14( Z ) ) }.
% 4.27/4.66 parent0: (20781) {G0,W3,D3,L1,V1,M1} { r1( skol14( Z ) ) }.
% 4.27/4.66 substitution0:
% 4.27/4.66 X := T
% 4.27/4.66 Y := U
% 4.27/4.66 Z := Z
% 4.27/4.66 end
% 4.27/4.66 permutation0:
% 4.27/4.66 0 ==> 0
% 4.27/4.66 end
% 4.27/4.66
% 4.27/4.66 subsumption: (35) {G0,W5,D3,L1,V1,M1} I { skol8( Y ) ==> skol14( Y ) }.
% 4.27/4.66 parent0: (20782) {G0,W5,D3,L1,V1,M1} { skol8( Y ) = skol14( Y ) }.
% 4.27/4.66 substitution0:
% 4.27/4.66 X := Z
% 4.27/4.66 Y := Y
% 4.27/4.66 end
% 4.27/4.66 permutation0:
% 4.27/4.66 0 ==> 0
% 4.27/4.66 end
% 4.27/4.66
% 4.27/4.66 subsumption: (36) {G0,W3,D3,L1,V1,M1} I { r1( skol18( Y ) ) }.
% 4.27/4.66 parent0: (20783) {G0,W3,D3,L1,V1,M1} { r1( skol18( Y ) ) }.
% 4.27/4.66 substitution0:
% 4.27/4.66 X := Z
% 4.27/4.66 Y := Y
% 4.27/4.66 end
% 4.27/4.66 permutation0:
% 4.27/4.66 0 ==> 0
% 4.27/4.66 end
% 4.27/4.66
% 4.27/4.66 paramod: (21153) {G1,W6,D3,L1,V1,M1} { r4( X, skol18( X ), skol14( X ) )
% 4.27/4.66 }.
% 4.27/4.66 parent0[0]: (35) {G0,W5,D3,L1,V1,M1} I { skol8( Y ) ==> skol14( Y ) }.
% 4.27/4.66 parent1[0; 4]: (20784) {G0,W6,D3,L1,V1,M1} { r4( X, skol18( X ), skol8( X
% 4.27/4.66 ) ) }.
% 4.27/4.66 substitution0:
% 4.27/4.66 X := Y
% 4.27/4.66 Y := X
% 4.27/4.66 end
% 4.27/4.66 substitution1:
% 4.27/4.66 X := X
% 4.27/4.66 end
% 4.27/4.66
% 4.27/4.66 subsumption: (37) {G1,W6,D3,L1,V1,M1} I;d(35) { r4( X, skol18( X ), skol14
% 4.27/4.66 ( X ) ) }.
% 4.27/4.66 parent0: (21153) {G1,W6,D3,L1,V1,M1} { r4( X, skol18( X ), skol14( X ) )
% 4.27/4.66 }.
% 4.27/4.66 substitution0:
% 4.27/4.66 X := X
% 4.27/4.66 end
% 4.27/4.66 permutation0:
% 4.27/4.66 0 ==> 0
% 4.27/4.66 end
% 4.27/4.66
% 4.27/4.66 subsumption: (38) {G0,W7,D3,L2,V2,M2} I { alpha5( X ), r2( skol15( Y ),
% 4.27/4.66 skol9( Y ) ) }.
% 4.27/4.66 parent0: (20785) {G0,W7,D3,L2,V2,M2} { alpha5( X ), r2( skol15( Y ), skol9
% 4.27/4.66 ( Y ) ) }.
% 4.27/4.66 substitution0:
% 4.27/4.66 X := X
% 4.27/4.66 Y := Y
% 4.27/4.66 end
% 4.27/4.66 permutation0:
% 4.27/4.66 0 ==> 0
% 4.27/4.66 1 ==> 1
% 4.27/4.66 end
% 4.27/4.66
% 4.27/4.66 eqswap: (21190) {G0,W6,D3,L2,V1,M2} { skol9( X ) = X, alpha5( X ) }.
% 4.27/4.66 parent0[1]: (20786) {G0,W6,D3,L2,V1,M2} { alpha5( X ), X = skol9( X ) }.
% 4.27/4.66 substitution0:
% 4.27/4.66 X := X
% 4.27/4.66 end
% 4.27/4.66
% 4.27/4.66 subsumption: (39) {G0,W6,D3,L2,V1,M2} I { alpha5( X ), skol9( X ) ==> X }.
% 4.27/4.66 parent0: (21190) {G0,W6,D3,L2,V1,M2} { skol9( X ) = X, alpha5( X ) }.
% 4.27/4.66 substitution0:
% 4.27/4.66 X := X
% 4.27/4.66 end
% 4.27/4.66 permutation0:
% 4.27/4.66 0 ==> 1
% 4.27/4.66 1 ==> 0
% 4.27/4.66 end
% 4.27/4.66
% 4.27/4.66 subsumption: (40) {G0,W5,D3,L2,V2,M2} I { ! alpha5( X ), r1( skol10( Y ) )
% 4.27/4.66 }.
% 4.27/4.66 parent0: (20787) {G0,W5,D3,L2,V2,M2} { ! alpha5( X ), r1( skol10( Y ) )
% 4.27/4.66 }.
% 4.27/4.66 substitution0:
% 4.27/4.66 X := X
% 4.27/4.66 Y := Y
% 4.27/4.66 end
% 4.27/4.66 permutation0:
% 4.27/4.66 0 ==> 0
% 4.27/4.66 1 ==> 1
% 4.27/4.66 end
% 4.27/4.66
% 4.27/4.66 eqswap: (21229) {G0,W6,D3,L2,V1,M2} { skol10( X ) = X, ! alpha5( X ) }.
% 4.27/4.66 parent0[1]: (20788) {G0,W6,D3,L2,V1,M2} { ! alpha5( X ), X = skol10( X )
% 4.27/4.66 }.
% 4.27/4.66 substitution0:
% 4.27/4.66 X := X
% 4.27/4.66 end
% 4.27/4.66
% 4.27/4.66 subsumption: (41) {G0,W6,D3,L2,V1,M2} I { ! alpha5( X ), skol10( X ) ==> X
% 4.27/4.66 }.
% 4.27/4.66 parent0: (21229) {G0,W6,D3,L2,V1,M2} { skol10( X ) = X, ! alpha5( X ) }.
% 4.27/4.66 substitution0:
% 4.27/4.66 X := X
% 4.27/4.66 end
% 4.27/4.66 permutation0:
% 4.27/4.66 0 ==> 1
% 4.27/4.66 1 ==> 0
% 4.27/4.66 end
% 4.27/4.66
% 4.27/4.66 subsumption: (42) {G0,W7,D2,L3,V2,M3} I { ! r1( Y ), ! X = Y, alpha5( X )
% 4.27/4.66 }.
% 4.27/4.66 parent0: (20789) {G0,W7,D2,L3,V2,M3} { ! r1( Y ), ! X = Y, alpha5( X ) }.
% 4.27/4.66 substitution0:
% 4.27/4.66 X := X
% 4.27/4.66 Y := Y
% 4.27/4.66 end
% 4.27/4.66 permutation0:
% 4.27/4.66 0 ==> 0
% 4.27/4.66 1 ==> 1
% 4.27/4.66 2 ==> 2
% 4.27/4.66 end
% 4.27/4.66
% 4.27/4.66 subsumption: (43) {G0,W8,D2,L3,V3,M3} I { ! r1( Y ), ! Y = X, ! r2( Z, X )
% 4.27/4.66 }.
% 4.27/4.66 parent0: (20790) {G0,W8,D2,L3,V3,M3} { ! r1( Y ), ! Y = X, ! r2( Z, X )
% 4.27/4.66 }.
% 4.27/4.66 substitution0:
% 4.27/4.66 X := X
% 4.27/4.66 Y := Y
% 4.27/4.66 Z := Z
% 4.27/4.66 end
% 4.27/4.66 permutation0:
% 4.27/4.66 0 ==> 0
% 4.27/4.66 1 ==> 1
% 4.27/4.66 2 ==> 2
% 4.27/4.66 end
% 4.27/4.66
% 4.27/4.66 subsumption: (44) {G0,W15,D2,L5,V6,M5} I { ! r4( Y, Z, X ), ! X = T, ! r2(
% 4.27/4.66 U, T ), ! r1( W ), ! r2( W, U ) }.
% 4.27/4.66 parent0: (20791) {G0,W15,D2,L5,V6,M5} { ! r4( Y, Z, X ), ! X = T, ! r2( U
% 4.27/4.66 , T ), ! r1( W ), ! r2( W, U ) }.
% 4.27/4.66 substitution0:
% 4.27/4.66 X := X
% 4.27/4.66 Y := Y
% 4.27/4.66 Z := Z
% 4.27/4.66 T := T
% 4.27/4.66 U := U
% 4.27/4.66 W := W
% 4.27/4.66 end
% 4.27/4.66 permutation0:
% 4.27/4.66 0 ==> 0
% 4.27/4.66 1 ==> 1
% 4.27/4.66 2 ==> 2
% 4.27/4.66 3 ==> 3
% 4.27/4.66 4 ==> 4
% 4.27/4.66 end
% 4.27/4.66
% 4.27/4.66 eqswap: (21298) {G0,W6,D2,L2,V2,M2} { ! Y = X, ! alpha1( Y, X ) }.
% 4.27/4.66 parent0[1]: (3) {G0,W6,D2,L2,V2,M2} I { ! alpha1( X, Y ), ! Y = X }.
% 4.27/4.66 substitution0:
% 4.27/4.66 X := Y
% 4.27/4.66 Y := X
% 4.27/4.66 end
% 4.27/4.66
% 4.27/4.66 eqrefl: (21299) {G0,W3,D2,L1,V1,M1} { ! alpha1( X, X ) }.
% 4.27/4.66 parent0[0]: (21298) {G0,W6,D2,L2,V2,M2} { ! Y = X, ! alpha1( Y, X ) }.
% 4.27/4.66 substitution0:
% 4.27/4.66 X := X
% 4.27/4.66 Y := X
% 4.27/4.66 end
% 4.27/4.66
% 4.27/4.66 subsumption: (45) {G1,W3,D2,L1,V1,M1} Q(3) { ! alpha1( X, X ) }.
% 4.27/4.66 parent0: (21299) {G0,W3,D2,L1,V1,M1} { ! alpha1( X, X ) }.
% 4.27/4.66 substitution0:
% 4.27/4.66 X := X
% 4.27/4.66 end
% 4.27/4.66 permutation0:
% 4.27/4.66 0 ==> 0
% 4.27/4.66 end
% 4.27/4.66
% 4.27/4.66 eqswap: (21300) {G0,W7,D2,L2,V3,M2} { ! Y = X, ! alpha2( Z, Y, X ) }.
% 4.27/4.66 parent0[1]: (8) {G0,W7,D2,L2,V3,M2} I { ! alpha2( X, Y, Z ), ! Z = Y }.
% 4.27/4.66 substitution0:
% 4.27/4.66 X := Z
% 4.27/4.66 Y := Y
% 4.27/4.66 Z := X
% 4.27/4.66 end
% 4.27/4.66
% 4.27/4.66 eqrefl: (21301) {G0,W4,D2,L1,V2,M1} { ! alpha2( Y, X, X ) }.
% 4.27/4.66 parent0[0]: (21300) {G0,W7,D2,L2,V3,M2} { ! Y = X, ! alpha2( Z, Y, X ) }.
% 4.27/4.66 substitution0:
% 4.27/4.66 X := X
% 4.27/4.66 Y := X
% 4.27/4.66 Z := Y
% 4.27/4.66 end
% 4.27/4.66
% 4.27/4.66 subsumption: (46) {G1,W4,D2,L1,V2,M1} Q(8) { ! alpha2( X, Y, Y ) }.
% 4.27/4.66 parent0: (21301) {G0,W4,D2,L1,V2,M1} { ! alpha2( Y, X, X ) }.
% 4.27/4.66 substitution0:
% 4.27/4.66 X := Y
% 4.27/4.66 Y := X
% 4.27/4.66 end
% 4.27/4.66 permutation0:
% 4.27/4.66 0 ==> 0
% 4.27/4.66 end
% 4.27/4.66
% 4.27/4.66 eqswap: (21302) {G0,W7,D2,L3,V2,M3} { ! Y = X, ! r1( Y ), alpha5( X ) }.
% 4.27/4.66 parent0[1]: (42) {G0,W7,D2,L3,V2,M3} I { ! r1( Y ), ! X = Y, alpha5( X )
% 4.27/4.66 }.
% 4.27/4.66 substitution0:
% 4.27/4.66 X := X
% 4.27/4.66 Y := Y
% 4.27/4.66 end
% 4.27/4.66
% 4.27/4.66 eqrefl: (21303) {G0,W4,D2,L2,V1,M2} { ! r1( X ), alpha5( X ) }.
% 4.27/4.66 parent0[0]: (21302) {G0,W7,D2,L3,V2,M3} { ! Y = X, ! r1( Y ), alpha5( X )
% 4.27/4.66 }.
% 4.27/4.66 substitution0:
% 4.27/4.66 X := X
% 4.27/4.66 Y := X
% 4.27/4.66 end
% 4.27/4.66
% 4.27/4.66 subsumption: (50) {G1,W4,D2,L2,V1,M2} Q(42) { ! r1( X ), alpha5( X ) }.
% 4.27/4.66 parent0: (21303) {G0,W4,D2,L2,V1,M2} { ! r1( X ), alpha5( X ) }.
% 4.27/4.66 substitution0:
% 4.27/4.66 X := X
% 4.27/4.66 end
% 4.27/4.66 permutation0:
% 4.27/4.66 0 ==> 0
% 4.27/4.66 1 ==> 1
% 4.27/4.66 end
% 4.27/4.66
% 4.27/4.66 eqswap: (21304) {G0,W8,D2,L3,V3,M3} { ! Y = X, ! r1( X ), ! r2( Z, Y ) }.
% 4.27/4.66 parent0[1]: (43) {G0,W8,D2,L3,V3,M3} I { ! r1( Y ), ! Y = X, ! r2( Z, X )
% 4.27/4.66 }.
% 4.27/4.66 substitution0:
% 4.27/4.66 X := Y
% 4.27/4.66 Y := X
% 4.27/4.66 Z := Z
% 4.27/4.66 end
% 4.27/4.66
% 4.27/4.66 eqrefl: (21305) {G0,W5,D2,L2,V2,M2} { ! r1( X ), ! r2( Y, X ) }.
% 4.27/4.66 parent0[0]: (21304) {G0,W8,D2,L3,V3,M3} { ! Y = X, ! r1( X ), ! r2( Z, Y )
% 4.27/4.66 }.
% 4.27/4.66 substitution0:
% 4.27/4.66 X := X
% 4.27/4.66 Y := X
% 4.27/4.66 Z := Y
% 4.27/4.66 end
% 4.27/4.66
% 4.27/4.66 subsumption: (51) {G1,W5,D2,L2,V2,M2} Q(43) { ! r1( X ), ! r2( Y, X ) }.
% 4.27/4.66 parent0: (21305) {G0,W5,D2,L2,V2,M2} { ! r1( X ), ! r2( Y, X ) }.
% 4.27/4.66 substitution0:
% 4.27/4.66 X := X
% 4.27/4.66 Y := Y
% 4.27/4.66 end
% 4.27/4.66 permutation0:
% 4.27/4.66 0 ==> 0
% 4.27/4.66 1 ==> 1
% 4.27/4.66 end
% 4.27/4.66
% 4.27/4.66 eqswap: (21306) {G0,W15,D2,L5,V6,M5} { ! Y = X, ! r4( Z, T, X ), ! r2( U,
% 4.27/4.66 Y ), ! r1( W ), ! r2( W, U ) }.
% 4.27/4.66 parent0[1]: (44) {G0,W15,D2,L5,V6,M5} I { ! r4( Y, Z, X ), ! X = T, ! r2( U
% 4.27/4.66 , T ), ! r1( W ), ! r2( W, U ) }.
% 4.27/4.66 substitution0:
% 4.27/4.66 X := X
% 4.27/4.66 Y := Z
% 4.27/4.66 Z := T
% 4.27/4.66 T := Y
% 4.27/4.66 U := U
% 4.27/4.66 W := W
% 4.27/4.66 end
% 4.27/4.66
% 4.27/4.66 eqrefl: (21307) {G0,W12,D2,L4,V5,M4} { ! r4( Y, Z, X ), ! r2( T, X ), ! r1
% 4.27/4.66 ( U ), ! r2( U, T ) }.
% 4.27/4.66 parent0[0]: (21306) {G0,W15,D2,L5,V6,M5} { ! Y = X, ! r4( Z, T, X ), ! r2
% 4.27/4.66 ( U, Y ), ! r1( W ), ! r2( W, U ) }.
% 4.27/4.66 substitution0:
% 4.27/4.66 X := X
% 4.27/4.66 Y := X
% 4.27/4.66 Z := Y
% 4.27/4.66 T := Z
% 4.27/4.66 U := T
% 4.27/4.66 W := U
% 4.27/4.66 end
% 4.27/4.66
% 4.27/4.66 subsumption: (52) {G1,W12,D2,L4,V5,M4} Q(44) { ! r4( X, Y, Z ), ! r2( T, Z
% 4.27/4.66 ), ! r1( U ), ! r2( U, T ) }.
% 4.27/4.66 parent0: (21307) {G0,W12,D2,L4,V5,M4} { ! r4( Y, Z, X ), ! r2( T, X ), !
% 4.27/4.66 r1( U ), ! r2( U, T ) }.
% 4.27/4.66 substitution0:
% 4.27/4.66 X := Z
% 4.27/4.66 Y := X
% 4.27/4.66 Z := Y
% 4.27/4.66 T := T
% 4.27/4.66 U := U
% 4.27/4.66 end
% 4.27/4.66 permutation0:
% 4.27/4.66 0 ==> 0
% 4.27/4.66 1 ==> 1
% 4.27/4.66 2 ==> 2
% 4.27/4.66 3 ==> 3
% 4.27/4.66 end
% 4.27/4.66
% 4.27/4.66 resolution: (21309) {G1,W2,D2,L1,V0,M1} { r1( skol1 ) }.
% 4.27/4.66 parent0[0]: (45) {G1,W3,D2,L1,V1,M1} Q(3) { ! alpha1( X, X ) }.
% 4.27/4.66 parent1[0]: (0) {G0,W5,D2,L2,V1,M2} I { alpha1( skol1, X ), r1( X ) }.
% 4.27/4.66 substitution0:
% 4.27/4.66 X := skol1
% 4.27/4.66 end
% 4.27/4.66 substitution1:
% 4.27/4.66 X := skol1
% 4.27/4.66 end
% 4.27/4.66
% 4.27/4.66 subsumption: (53) {G2,W2,D2,L1,V0,M1} R(0,45) { r1( skol1 ) }.
% 4.27/4.66 parent0: (21309) {G1,W2,D2,L1,V0,M1} { r1( skol1 ) }.
% 4.27/4.66 substitution0:
% 4.27/4.66 end
% 4.27/4.66 permutation0:
% 4.27/4.66 0 ==> 0
% 4.27/4.66 end
% 4.27/4.66
% 4.27/4.66 resolution: (21310) {G1,W3,D3,L1,V1,M1} { alpha5( skol18( X ) ) }.
% 4.27/4.66 parent0[0]: (50) {G1,W4,D2,L2,V1,M2} Q(42) { ! r1( X ), alpha5( X ) }.
% 4.27/4.66 parent1[0]: (36) {G0,W3,D3,L1,V1,M1} I { r1( skol18( Y ) ) }.
% 4.27/4.66 substitution0:
% 4.27/4.66 X := skol18( X )
% 4.27/4.66 end
% 4.27/4.66 substitution1:
% 4.27/4.66 X := Y
% 4.27/4.66 Y := X
% 4.27/4.66 end
% 4.27/4.66
% 4.27/4.66 subsumption: (58) {G2,W3,D3,L1,V1,M1} R(50,36) { alpha5( skol18( X ) ) }.
% 4.27/4.66 parent0: (21310) {G1,W3,D3,L1,V1,M1} { alpha5( skol18( X ) ) }.
% 4.27/4.66 substitution0:
% 4.27/4.66 X := X
% 4.27/4.66 end
% 4.27/4.66 permutation0:
% 4.27/4.66 0 ==> 0
% 4.27/4.66 end
% 4.27/4.66
% 4.27/4.66 eqswap: (21311) {G0,W6,D2,L2,V1,M2} { skol1 = X, alpha1( skol1, X ) }.
% 4.27/4.66 parent0[1]: (1) {G0,W6,D2,L2,V1,M2} I { alpha1( skol1, X ), X = skol1 }.
% 4.27/4.66 substitution0:
% 4.27/4.66 X := X
% 4.27/4.66 end
% 4.27/4.66
% 4.27/4.66 resolution: (21312) {G1,W5,D2,L2,V1,M2} { ! r1( X ), skol1 = X }.
% 4.27/4.66 parent0[0]: (2) {G0,W5,D2,L2,V2,M2} I { ! alpha1( X, Y ), ! r1( Y ) }.
% 4.27/4.66 parent1[1]: (21311) {G0,W6,D2,L2,V1,M2} { skol1 = X, alpha1( skol1, X )
% 4.27/4.66 }.
% 4.27/4.66 substitution0:
% 4.27/4.66 X := skol1
% 4.27/4.66 Y := X
% 4.27/4.66 end
% 4.27/4.66 substitution1:
% 4.27/4.66 X := X
% 4.27/4.66 end
% 4.27/4.66
% 4.27/4.66 eqswap: (21313) {G1,W5,D2,L2,V1,M2} { X = skol1, ! r1( X ) }.
% 4.27/4.66 parent0[1]: (21312) {G1,W5,D2,L2,V1,M2} { ! r1( X ), skol1 = X }.
% 4.27/4.66 substitution0:
% 4.27/4.66 X := X
% 4.27/4.66 end
% 4.27/4.66
% 4.27/4.66 subsumption: (60) {G1,W5,D2,L2,V1,M2} R(2,1) { ! r1( X ), X = skol1 }.
% 4.27/4.66 parent0: (21313) {G1,W5,D2,L2,V1,M2} { X = skol1, ! r1( X ) }.
% 4.27/4.66 substitution0:
% 4.27/4.66 X := X
% 4.27/4.66 end
% 4.27/4.66 permutation0:
% 4.27/4.66 0 ==> 1
% 4.27/4.66 1 ==> 0
% 4.27/4.66 end
% 4.27/4.66
% 4.27/4.66 resolution: (21314) {G1,W4,D3,L1,V2,M1} { ! alpha1( X, skol13( Y ) ) }.
% 4.27/4.66 parent0[1]: (2) {G0,W5,D2,L2,V2,M2} I { ! alpha1( X, Y ), ! r1( Y ) }.
% 4.27/4.66 parent1[0]: (31) {G0,W3,D3,L1,V1,M1} I { r1( skol13( Y ) ) }.
% 4.27/4.66 substitution0:
% 4.27/4.66 X := X
% 4.27/4.66 Y := skol13( Y )
% 4.27/4.66 end
% 4.27/4.66 substitution1:
% 4.27/4.66 X := Z
% 4.27/4.66 Y := Y
% 4.27/4.66 end
% 4.27/4.66
% 4.27/4.66 subsumption: (63) {G1,W4,D3,L1,V2,M1} R(2,31) { ! alpha1( X, skol13( Y ) )
% 4.27/4.66 }.
% 4.27/4.66 parent0: (21314) {G1,W4,D3,L1,V2,M1} { ! alpha1( X, skol13( Y ) ) }.
% 4.27/4.66 substitution0:
% 4.27/4.66 X := X
% 4.27/4.66 Y := Y
% 4.27/4.66 end
% 4.27/4.66 permutation0:
% 4.27/4.66 0 ==> 0
% 4.27/4.66 end
% 4.27/4.66
% 4.27/4.66 resolution: (21315) {G1,W4,D3,L1,V2,M1} { ! alpha1( X, skol14( Y ) ) }.
% 4.27/4.66 parent0[1]: (2) {G0,W5,D2,L2,V2,M2} I { ! alpha1( X, Y ), ! r1( Y ) }.
% 4.27/4.66 parent1[0]: (34) {G0,W3,D3,L1,V1,M1} I { r1( skol14( Z ) ) }.
% 4.27/4.66 substitution0:
% 4.27/4.66 X := X
% 4.27/4.66 Y := skol14( Y )
% 4.27/4.66 end
% 4.27/4.66 substitution1:
% 4.27/4.66 X := Z
% 4.27/4.66 Y := T
% 4.27/4.66 Z := Y
% 4.27/4.66 end
% 4.27/4.66
% 4.27/4.66 subsumption: (64) {G1,W4,D3,L1,V2,M1} R(2,34) { ! alpha1( X, skol14( Y ) )
% 4.27/4.66 }.
% 4.27/4.66 parent0: (21315) {G1,W4,D3,L1,V2,M1} { ! alpha1( X, skol14( Y ) ) }.
% 4.27/4.66 substitution0:
% 4.27/4.66 X := X
% 4.27/4.66 Y := Y
% 4.27/4.66 end
% 4.27/4.66 permutation0:
% 4.27/4.66 0 ==> 0
% 4.27/4.66 end
% 4.27/4.66
% 4.27/4.66 resolution: (21316) {G1,W4,D3,L1,V2,M1} { ! alpha1( X, skol18( Y ) ) }.
% 4.27/4.66 parent0[1]: (2) {G0,W5,D2,L2,V2,M2} I { ! alpha1( X, Y ), ! r1( Y ) }.
% 4.27/4.66 parent1[0]: (36) {G0,W3,D3,L1,V1,M1} I { r1( skol18( Y ) ) }.
% 4.27/4.66 substitution0:
% 4.27/4.66 X := X
% 4.27/4.66 Y := skol18( Y )
% 4.27/4.66 end
% 4.27/4.66 substitution1:
% 4.27/4.66 X := Z
% 4.27/4.66 Y := Y
% 4.27/4.66 end
% 4.27/4.66
% 4.27/4.66 subsumption: (65) {G1,W4,D3,L1,V2,M1} R(2,36) { ! alpha1( X, skol18( Y ) )
% 4.27/4.66 }.
% 4.27/4.66 parent0: (21316) {G1,W4,D3,L1,V2,M1} { ! alpha1( X, skol18( Y ) ) }.
% 4.27/4.66 substitution0:
% 4.27/4.66 X := X
% 4.27/4.66 Y := Y
% 4.27/4.66 end
% 4.27/4.66 permutation0:
% 4.27/4.66 0 ==> 0
% 4.27/4.66 end
% 4.27/4.66
% 4.27/4.66 eqswap: (21317) {G0,W6,D2,L2,V1,M2} { skol1 = X, alpha1( skol1, X ) }.
% 4.27/4.66 parent0[1]: (1) {G0,W6,D2,L2,V1,M2} I { alpha1( skol1, X ), X = skol1 }.
% 4.27/4.66 substitution0:
% 4.27/4.66 X := X
% 4.27/4.66 end
% 4.27/4.66
% 4.27/4.66 resolution: (21318) {G1,W4,D3,L1,V1,M1} { skol1 = skol13( X ) }.
% 4.27/4.66 parent0[0]: (63) {G1,W4,D3,L1,V2,M1} R(2,31) { ! alpha1( X, skol13( Y ) )
% 4.27/4.66 }.
% 4.27/4.66 parent1[1]: (21317) {G0,W6,D2,L2,V1,M2} { skol1 = X, alpha1( skol1, X )
% 4.27/4.66 }.
% 4.27/4.66 substitution0:
% 4.27/4.66 X := skol1
% 4.27/4.66 Y := X
% 4.27/4.66 end
% 4.27/4.66 substitution1:
% 4.27/4.66 X := skol13( X )
% 4.27/4.66 end
% 4.27/4.66
% 4.27/4.66 eqswap: (21319) {G1,W4,D3,L1,V1,M1} { skol13( X ) = skol1 }.
% 4.27/4.66 parent0[0]: (21318) {G1,W4,D3,L1,V1,M1} { skol1 = skol13( X ) }.
% 4.27/4.66 substitution0:
% 4.27/4.66 X := X
% 4.27/4.66 end
% 4.27/4.66
% 4.27/4.66 subsumption: (66) {G2,W4,D3,L1,V1,M1} R(63,1) { skol13( X ) ==> skol1 }.
% 4.27/4.66 parent0: (21319) {G1,W4,D3,L1,V1,M1} { skol13( X ) = skol1 }.
% 4.27/4.66 substitution0:
% 4.27/4.66 X := X
% 4.27/4.66 end
% 4.27/4.66 permutation0:
% 4.27/4.66 0 ==> 0
% 4.27/4.66 end
% 4.27/4.66
% 4.27/4.66 eqswap: (21320) {G0,W6,D2,L2,V1,M2} { skol1 = X, alpha1( skol1, X ) }.
% 4.27/4.66 parent0[1]: (1) {G0,W6,D2,L2,V1,M2} I { alpha1( skol1, X ), X = skol1 }.
% 4.27/4.66 substitution0:
% 4.27/4.66 X := X
% 4.27/4.66 end
% 4.27/4.66
% 4.27/4.66 resolution: (21321) {G1,W4,D3,L1,V1,M1} { skol1 = skol14( X ) }.
% 4.27/4.66 parent0[0]: (64) {G1,W4,D3,L1,V2,M1} R(2,34) { ! alpha1( X, skol14( Y ) )
% 4.27/4.66 }.
% 4.27/4.66 parent1[1]: (21320) {G0,W6,D2,L2,V1,M2} { skol1 = X, alpha1( skol1, X )
% 4.27/4.66 }.
% 4.27/4.66 substitution0:
% 4.27/4.66 X := skol1
% 4.27/4.66 Y := X
% 4.27/4.66 end
% 4.27/4.66 substitution1:
% 4.27/4.66 X := skol14( X )
% 4.27/4.66 end
% 4.27/4.66
% 4.27/4.66 eqswap: (21322) {G1,W4,D3,L1,V1,M1} { skol14( X ) = skol1 }.
% 4.27/4.66 parent0[0]: (21321) {G1,W4,D3,L1,V1,M1} { skol1 = skol14( X ) }.
% 4.27/4.66 substitution0:
% 4.27/4.66 X := X
% 4.27/4.66 end
% 4.27/4.66
% 4.27/4.66 subsumption: (67) {G2,W4,D3,L1,V1,M1} R(64,1) { skol14( X ) ==> skol1 }.
% 4.27/4.66 parent0: (21322) {G1,W4,D3,L1,V1,M1} { skol14( X ) = skol1 }.
% 4.27/4.66 substitution0:
% 4.27/4.66 X := X
% 4.27/4.66 end
% 4.27/4.66 permutation0:
% 4.27/4.66 0 ==> 0
% 4.27/4.66 end
% 4.27/4.66
% 4.27/4.66 eqswap: (21323) {G0,W6,D2,L2,V1,M2} { skol1 = X, alpha1( skol1, X ) }.
% 4.27/4.66 parent0[1]: (1) {G0,W6,D2,L2,V1,M2} I { alpha1( skol1, X ), X = skol1 }.
% 4.27/4.66 substitution0:
% 4.27/4.66 X := X
% 4.27/4.66 end
% 4.27/4.66
% 4.27/4.66 resolution: (21324) {G1,W4,D3,L1,V1,M1} { skol1 = skol18( X ) }.
% 4.27/4.66 parent0[0]: (65) {G1,W4,D3,L1,V2,M1} R(2,36) { ! alpha1( X, skol18( Y ) )
% 4.27/4.66 }.
% 4.27/4.66 parent1[1]: (21323) {G0,W6,D2,L2,V1,M2} { skol1 = X, alpha1( skol1, X )
% 4.27/4.66 }.
% 4.27/4.66 substitution0:
% 4.27/4.66 X := skol1
% 4.27/4.66 Y := X
% 4.27/4.66 end
% 4.27/4.66 substitution1:
% 4.27/4.66 X := skol18( X )
% 4.27/4.66 end
% 4.27/4.66
% 4.27/4.66 eqswap: (21325) {G1,W4,D3,L1,V1,M1} { skol18( X ) = skol1 }.
% 4.27/4.66 parent0[0]: (21324) {G1,W4,D3,L1,V1,M1} { skol1 = skol18( X ) }.
% 4.27/4.66 substitution0:
% 4.27/4.66 X := X
% 4.27/4.66 end
% 4.27/4.66
% 4.27/4.66 subsumption: (68) {G2,W4,D3,L1,V1,M1} R(65,1) { skol18( X ) ==> skol1 }.
% 4.27/4.66 parent0: (21325) {G1,W4,D3,L1,V1,M1} { skol18( X ) = skol1 }.
% 4.27/4.66 substitution0:
% 4.27/4.66 X := X
% 4.27/4.66 end
% 4.27/4.66 permutation0:
% 4.27/4.66 0 ==> 0
% 4.27/4.66 end
% 4.27/4.66
% 4.27/4.66 eqswap: (21326) {G0,W6,D2,L2,V2,M2} { ! Y = X, ! alpha1( Y, X ) }.
% 4.27/4.66 parent0[1]: (3) {G0,W6,D2,L2,V2,M2} I { ! alpha1( X, Y ), ! Y = X }.
% 4.27/4.66 substitution0:
% 4.27/4.66 X := Y
% 4.27/4.66 Y := X
% 4.27/4.66 end
% 4.27/4.66
% 4.27/4.66 resolution: (21327) {G1,W5,D2,L2,V1,M2} { ! skol1 = X, r1( X ) }.
% 4.27/4.66 parent0[1]: (21326) {G0,W6,D2,L2,V2,M2} { ! Y = X, ! alpha1( Y, X ) }.
% 4.27/4.66 parent1[0]: (0) {G0,W5,D2,L2,V1,M2} I { alpha1( skol1, X ), r1( X ) }.
% 4.27/4.66 substitution0:
% 4.27/4.66 X := X
% 4.27/4.66 Y := skol1
% 4.27/4.66 end
% 4.27/4.66 substitution1:
% 4.27/4.66 X := X
% 4.27/4.66 end
% 4.27/4.66
% 4.27/4.66 eqswap: (21328) {G1,W5,D2,L2,V1,M2} { ! X = skol1, r1( X ) }.
% 4.27/4.66 parent0[0]: (21327) {G1,W5,D2,L2,V1,M2} { ! skol1 = X, r1( X ) }.
% 4.27/4.66 substitution0:
% 4.27/4.66 X := X
% 4.27/4.66 end
% 4.27/4.66
% 4.27/4.66 subsumption: (69) {G1,W5,D2,L2,V1,M2} R(3,0) { ! X = skol1, r1( X ) }.
% 4.27/4.66 parent0: (21328) {G1,W5,D2,L2,V1,M2} { ! X = skol1, r1( X ) }.
% 4.27/4.66 substitution0:
% 4.27/4.66 X := X
% 4.27/4.66 end
% 4.27/4.66 permutation0:
% 4.27/4.66 0 ==> 0
% 4.27/4.66 1 ==> 1
% 4.27/4.66 end
% 4.27/4.66
% 4.27/4.66 resolution: (21329) {G2,W3,D2,L1,V1,M1} { ! r2( X, skol1 ) }.
% 4.27/4.66 parent0[0]: (51) {G1,W5,D2,L2,V2,M2} Q(43) { ! r1( X ), ! r2( Y, X ) }.
% 4.27/4.66 parent1[0]: (53) {G2,W2,D2,L1,V0,M1} R(0,45) { r1( skol1 ) }.
% 4.27/4.66 substitution0:
% 4.27/4.66 X := skol1
% 4.27/4.66 Y := X
% 4.27/4.66 end
% 4.27/4.66 substitution1:
% 4.27/4.66 end
% 4.27/4.66
% 4.27/4.66 subsumption: (73) {G3,W3,D2,L1,V1,M1} R(51,53) { ! r2( X, skol1 ) }.
% 4.27/4.66 parent0: (21329) {G2,W3,D2,L1,V1,M1} { ! r2( X, skol1 ) }.
% 4.27/4.66 substitution0:
% 4.27/4.66 X := X
% 4.27/4.66 end
% 4.27/4.66 permutation0:
% 4.27/4.66 0 ==> 0
% 4.27/4.66 end
% 4.27/4.66
% 4.27/4.66 resolution: (21330) {G1,W4,D3,L1,V1,M1} { r2( X, skol2( X ) ) }.
% 4.27/4.66 parent0[0]: (46) {G1,W4,D2,L1,V2,M1} Q(8) { ! alpha2( X, Y, Y ) }.
% 4.27/4.66 parent1[0]: (5) {G0,W8,D3,L2,V2,M2} I { alpha2( X, skol2( X ), Y ), r2( X,
% 4.27/4.66 Y ) }.
% 4.27/4.66 substitution0:
% 4.27/4.66 X := X
% 4.27/4.66 Y := skol2( X )
% 4.27/4.66 end
% 4.27/4.66 substitution1:
% 4.27/4.66 X := X
% 4.27/4.66 Y := skol2( X )
% 4.27/4.66 end
% 4.27/4.66
% 4.27/4.66 subsumption: (82) {G2,W4,D3,L1,V1,M1} R(5,46) { r2( X, skol2( X ) ) }.
% 4.27/4.66 parent0: (21330) {G1,W4,D3,L1,V1,M1} { r2( X, skol2( X ) ) }.
% 4.27/4.66 substitution0:
% 4.27/4.66 X := X
% 4.27/4.66 end
% 4.27/4.66 permutation0:
% 4.27/4.66 0 ==> 0
% 4.27/4.66 end
% 4.27/4.66
% 4.27/4.66 resolution: (21331) {G1,W6,D3,L1,V3,M1} { ! alpha2( X, Y, skol17( Z, X ) )
% 4.27/4.66 }.
% 4.27/4.66 parent0[1]: (7) {G0,W7,D2,L2,V3,M2} I { ! alpha2( X, Y, Z ), ! r2( X, Z )
% 4.27/4.66 }.
% 4.27/4.66 parent1[0]: (25) {G0,W5,D3,L1,V2,M1} I { r2( Y, skol17( Z, Y ) ) }.
% 4.27/4.66 substitution0:
% 4.27/4.66 X := X
% 4.27/4.66 Y := Y
% 4.27/4.66 Z := skol17( Z, X )
% 4.27/4.66 end
% 4.27/4.66 substitution1:
% 4.27/4.66 X := T
% 4.27/4.66 Y := X
% 4.27/4.66 Z := Z
% 4.27/4.66 end
% 4.27/4.66
% 4.27/4.66 subsumption: (113) {G1,W6,D3,L1,V3,M1} R(7,25) { ! alpha2( X, Y, skol17( Z
% 4.27/4.66 , X ) ) }.
% 4.27/4.66 parent0: (21331) {G1,W6,D3,L1,V3,M1} { ! alpha2( X, Y, skol17( Z, X ) )
% 4.27/4.66 }.
% 4.27/4.66 substitution0:
% 4.27/4.66 X := X
% 4.27/4.66 Y := Y
% 4.27/4.66 Z := Z
% 4.27/4.66 end
% 4.27/4.66 permutation0:
% 4.27/4.66 0 ==> 0
% 4.27/4.66 end
% 4.27/4.66
% 4.27/4.66 eqswap: (21332) {G0,W9,D3,L2,V2,M2} { skol2( Y ) = X, alpha2( Y, skol2( Y
% 4.27/4.66 ), X ) }.
% 4.27/4.66 parent0[1]: (6) {G0,W9,D3,L2,V2,M2} I { alpha2( X, skol2( X ), Y ), Y =
% 4.27/4.66 skol2( X ) }.
% 4.27/4.66 substitution0:
% 4.27/4.66 X := Y
% 4.27/4.66 Y := X
% 4.27/4.66 end
% 4.27/4.66
% 4.27/4.66 resolution: (21333) {G1,W7,D3,L2,V2,M2} { ! r2( X, Y ), skol2( X ) = Y }.
% 4.27/4.66 parent0[0]: (7) {G0,W7,D2,L2,V3,M2} I { ! alpha2( X, Y, Z ), ! r2( X, Z )
% 4.27/4.66 }.
% 4.27/4.66 parent1[1]: (21332) {G0,W9,D3,L2,V2,M2} { skol2( Y ) = X, alpha2( Y, skol2
% 4.27/4.66 ( Y ), X ) }.
% 4.27/4.66 substitution0:
% 4.27/4.66 X := X
% 4.27/4.66 Y := skol2( X )
% 4.27/4.66 Z := Y
% 4.27/4.66 end
% 4.27/4.66 substitution1:
% 4.27/4.66 X := Y
% 4.27/4.66 Y := X
% 4.27/4.66 end
% 4.27/4.66
% 4.27/4.66 eqswap: (21334) {G1,W7,D3,L2,V2,M2} { Y = skol2( X ), ! r2( X, Y ) }.
% 4.27/4.66 parent0[1]: (21333) {G1,W7,D3,L2,V2,M2} { ! r2( X, Y ), skol2( X ) = Y }.
% 4.27/4.66 substitution0:
% 4.27/4.66 X := X
% 4.27/4.66 Y := Y
% 4.27/4.66 end
% 4.27/4.66
% 4.27/4.66 subsumption: (114) {G1,W7,D3,L2,V2,M2} R(7,6) { ! r2( X, Y ), Y = skol2( X
% 4.27/4.66 ) }.
% 4.27/4.66 parent0: (21334) {G1,W7,D3,L2,V2,M2} { Y = skol2( X ), ! r2( X, Y ) }.
% 4.27/4.66 substitution0:
% 4.27/4.66 X := X
% 4.27/4.66 Y := Y
% 4.27/4.66 end
% 4.27/4.66 permutation0:
% 4.27/4.66 0 ==> 1
% 4.27/4.66 1 ==> 0
% 4.27/4.66 end
% 4.27/4.66
% 4.27/4.66 resolution: (21335) {G1,W6,D3,L1,V3,M1} { ! alpha2( X, Y, skol16( Z, X ) )
% 4.27/4.66 }.
% 4.27/4.66 parent0[1]: (7) {G0,W7,D2,L2,V3,M2} I { ! alpha2( X, Y, Z ), ! r2( X, Z )
% 4.27/4.66 }.
% 4.27/4.66 parent1[0]: (20) {G0,W5,D3,L1,V2,M1} I { r2( Y, skol16( Z, Y ) ) }.
% 4.27/4.66 substitution0:
% 4.27/4.66 X := X
% 4.27/4.66 Y := Y
% 4.27/4.66 Z := skol16( Z, X )
% 4.27/4.66 end
% 4.27/4.66 substitution1:
% 4.27/4.66 X := T
% 4.27/4.66 Y := X
% 4.27/4.66 Z := Z
% 4.27/4.66 end
% 4.27/4.66
% 4.27/4.66 subsumption: (118) {G1,W6,D3,L1,V3,M1} R(20,7) { ! alpha2( X, Y, skol16( Z
% 4.27/4.66 , X ) ) }.
% 4.27/4.66 parent0: (21335) {G1,W6,D3,L1,V3,M1} { ! alpha2( X, Y, skol16( Z, X ) )
% 4.27/4.66 }.
% 4.27/4.66 substitution0:
% 4.27/4.66 X := X
% 4.27/4.66 Y := Y
% 4.27/4.66 Z := Z
% 4.27/4.66 end
% 4.27/4.66 permutation0:
% 4.27/4.66 0 ==> 0
% 4.27/4.66 end
% 4.27/4.66
% 4.27/4.66 eqswap: (21336) {G0,W7,D2,L2,V3,M2} { ! Y = X, ! alpha2( Z, Y, X ) }.
% 4.27/4.66 parent0[1]: (8) {G0,W7,D2,L2,V3,M2} I { ! alpha2( X, Y, Z ), ! Z = Y }.
% 4.27/4.66 substitution0:
% 4.27/4.66 X := Z
% 4.27/4.66 Y := Y
% 4.27/4.66 Z := X
% 4.27/4.66 end
% 4.27/4.66
% 4.27/4.66 resolution: (21337) {G1,W7,D3,L2,V2,M2} { ! skol2( X ) = Y, r2( X, Y ) }.
% 4.27/4.66 parent0[1]: (21336) {G0,W7,D2,L2,V3,M2} { ! Y = X, ! alpha2( Z, Y, X ) }.
% 4.27/4.66 parent1[0]: (5) {G0,W8,D3,L2,V2,M2} I { alpha2( X, skol2( X ), Y ), r2( X,
% 4.27/4.66 Y ) }.
% 4.27/4.66 substitution0:
% 4.27/4.66 X := Y
% 4.27/4.66 Y := skol2( X )
% 4.27/4.66 Z := X
% 4.27/4.66 end
% 4.27/4.66 substitution1:
% 4.27/4.66 X := X
% 4.27/4.66 Y := Y
% 4.27/4.66 end
% 4.27/4.66
% 4.27/4.66 eqswap: (21338) {G1,W7,D3,L2,V2,M2} { ! Y = skol2( X ), r2( X, Y ) }.
% 4.27/4.66 parent0[0]: (21337) {G1,W7,D3,L2,V2,M2} { ! skol2( X ) = Y, r2( X, Y ) }.
% 4.27/4.66 substitution0:
% 4.27/4.66 X := X
% 4.27/4.66 Y := Y
% 4.27/4.66 end
% 4.27/4.66
% 4.27/4.66 subsumption: (126) {G1,W7,D3,L2,V2,M2} R(8,5) { ! X = skol2( Y ), r2( Y, X
% 4.27/4.66 ) }.
% 4.27/4.66 parent0: (21338) {G1,W7,D3,L2,V2,M2} { ! Y = skol2( X ), r2( X, Y ) }.
% 4.27/4.66 substitution0:
% 4.27/4.66 X := Y
% 4.27/4.66 Y := X
% 4.27/4.66 end
% 4.27/4.66 permutation0:
% 4.27/4.66 0 ==> 0
% 4.27/4.66 1 ==> 1
% 4.27/4.66 end
% 4.27/4.66
% 4.27/4.66 resolution: (21339) {G1,W3,D3,L1,V1,M1} { r1( skol10( Y ) ) }.
% 4.27/4.66 parent0[0]: (40) {G0,W5,D3,L2,V2,M2} I { ! alpha5( X ), r1( skol10( Y ) )
% 4.27/4.66 }.
% 4.27/4.66 parent1[0]: (58) {G2,W3,D3,L1,V1,M1} R(50,36) { alpha5( skol18( X ) ) }.
% 4.27/4.66 substitution0:
% 4.27/4.66 X := skol18( X )
% 4.27/4.66 Y := Y
% 4.27/4.66 end
% 4.27/4.66 substitution1:
% 4.27/4.66 X := X
% 4.27/4.66 end
% 4.27/4.66
% 4.27/4.66 subsumption: (186) {G3,W3,D3,L1,V1,M1} R(40,58) { r1( skol10( X ) ) }.
% 4.27/4.66 parent0: (21339) {G1,W3,D3,L1,V1,M1} { r1( skol10( Y ) ) }.
% 4.27/4.66 substitution0:
% 4.27/4.66 X := Y
% 4.27/4.66 Y := X
% 4.27/4.66 end
% 4.27/4.66 permutation0:
% 4.27/4.66 0 ==> 0
% 4.27/4.66 end
% 4.27/4.66
% 4.27/4.66 eqswap: (21340) {G1,W5,D2,L2,V1,M2} { skol1 = X, ! r1( X ) }.
% 4.27/4.66 parent0[1]: (60) {G1,W5,D2,L2,V1,M2} R(2,1) { ! r1( X ), X = skol1 }.
% 4.27/4.66 substitution0:
% 4.27/4.66 X := X
% 4.27/4.66 end
% 4.27/4.66
% 4.27/4.66 resolution: (21341) {G2,W4,D3,L1,V1,M1} { skol1 = skol10( X ) }.
% 4.27/4.66 parent0[1]: (21340) {G1,W5,D2,L2,V1,M2} { skol1 = X, ! r1( X ) }.
% 4.27/4.66 parent1[0]: (186) {G3,W3,D3,L1,V1,M1} R(40,58) { r1( skol10( X ) ) }.
% 4.27/4.66 substitution0:
% 4.27/4.66 X := skol10( X )
% 4.27/4.66 end
% 4.27/4.66 substitution1:
% 4.27/4.66 X := X
% 4.27/4.66 end
% 4.27/4.66
% 4.27/4.66 eqswap: (21342) {G2,W4,D3,L1,V1,M1} { skol10( X ) = skol1 }.
% 4.27/4.66 parent0[0]: (21341) {G2,W4,D3,L1,V1,M1} { skol1 = skol10( X ) }.
% 4.27/4.66 substitution0:
% 4.27/4.66 X := X
% 4.27/4.66 end
% 4.27/4.66
% 4.27/4.66 subsumption: (193) {G4,W4,D3,L1,V1,M1} R(186,60) { skol10( X ) ==> skol1
% 4.27/4.66 }.
% 4.27/4.66 parent0: (21342) {G2,W4,D3,L1,V1,M1} { skol10( X ) = skol1 }.
% 4.27/4.66 substitution0:
% 4.27/4.66 X := X
% 4.27/4.66 end
% 4.27/4.66 permutation0:
% 4.27/4.66 0 ==> 0
% 4.27/4.66 end
% 4.27/4.66
% 4.27/4.66 eqswap: (21343) {G0,W12,D3,L2,V3,M2} { skol3( Y, Z ) = X, alpha3( Y, Z,
% 4.27/4.66 skol3( Y, Z ), X ) }.
% 4.27/4.66 parent0[1]: (11) {G0,W12,D3,L2,V3,M2} I { alpha3( X, Y, skol3( X, Y ), Z )
% 4.27/4.66 , Z = skol3( X, Y ) }.
% 4.27/4.66 substitution0:
% 4.27/4.66 X := Y
% 4.27/4.66 Y := Z
% 4.27/4.66 Z := X
% 4.27/4.66 end
% 4.27/4.66
% 4.27/4.66 resolution: (21344) {G1,W9,D3,L2,V3,M2} { ! r3( X, Y, Z ), skol3( X, Y ) =
% 4.27/4.66 Z }.
% 4.27/4.66 parent0[0]: (12) {G0,W9,D2,L2,V4,M2} I { ! alpha3( X, Y, Z, T ), ! r3( X, Y
% 4.27/4.66 , T ) }.
% 4.27/4.66 parent1[1]: (21343) {G0,W12,D3,L2,V3,M2} { skol3( Y, Z ) = X, alpha3( Y, Z
% 4.27/4.66 , skol3( Y, Z ), X ) }.
% 4.27/4.66 substitution0:
% 4.27/4.66 X := X
% 4.27/4.66 Y := Y
% 4.27/4.66 Z := skol3( X, Y )
% 4.27/4.66 T := Z
% 4.27/4.66 end
% 4.27/4.66 substitution1:
% 4.27/4.66 X := Z
% 4.27/4.66 Y := X
% 4.27/4.66 Z := Y
% 4.27/4.66 end
% 4.27/4.66
% 4.27/4.66 eqswap: (21345) {G1,W9,D3,L2,V3,M2} { Z = skol3( X, Y ), ! r3( X, Y, Z )
% 4.27/4.66 }.
% 4.27/4.66 parent0[1]: (21344) {G1,W9,D3,L2,V3,M2} { ! r3( X, Y, Z ), skol3( X, Y ) =
% 4.27/4.66 Z }.
% 4.27/4.66 substitution0:
% 4.27/4.66 X := X
% 4.27/4.66 Y := Y
% 4.27/4.66 Z := Z
% 4.27/4.66 end
% 4.27/4.66
% 4.27/4.66 subsumption: (237) {G1,W9,D3,L2,V3,M2} R(12,11) { ! r3( X, Y, Z ), Z =
% 4.27/4.66 skol3( X, Y ) }.
% 4.27/4.66 parent0: (21345) {G1,W9,D3,L2,V3,M2} { Z = skol3( X, Y ), ! r3( X, Y, Z )
% 4.27/4.66 }.
% 4.27/4.66 substitution0:
% 4.27/4.66 X := X
% 4.27/4.66 Y := Y
% 4.27/4.66 Z := Z
% 4.27/4.66 end
% 4.27/4.66 permutation0:
% 4.27/4.66 0 ==> 1
% 4.27/4.66 1 ==> 0
% 4.27/4.66 end
% 4.27/4.66
% 4.27/4.66 eqswap: (21346) {G0,W9,D3,L2,V2,M2} { skol2( Y ) = X, alpha2( Y, skol2( Y
% 4.27/4.66 ), X ) }.
% 4.27/4.66 parent0[1]: (6) {G0,W9,D3,L2,V2,M2} I { alpha2( X, skol2( X ), Y ), Y =
% 4.27/4.66 skol2( X ) }.
% 4.27/4.66 substitution0:
% 4.27/4.66 X := Y
% 4.27/4.66 Y := X
% 4.27/4.66 end
% 4.27/4.66
% 4.27/4.66 resolution: (21347) {G1,W6,D3,L1,V2,M1} { skol2( X ) = skol16( Y, X ) }.
% 4.27/4.66 parent0[0]: (118) {G1,W6,D3,L1,V3,M1} R(20,7) { ! alpha2( X, Y, skol16( Z,
% 4.27/4.66 X ) ) }.
% 4.27/4.66 parent1[1]: (21346) {G0,W9,D3,L2,V2,M2} { skol2( Y ) = X, alpha2( Y, skol2
% 4.27/4.66 ( Y ), X ) }.
% 4.27/4.66 substitution0:
% 4.27/4.66 X := X
% 4.27/4.66 Y := skol2( X )
% 4.27/4.66 Z := Y
% 4.27/4.66 end
% 4.27/4.66 substitution1:
% 4.27/4.66 X := skol16( Y, X )
% 4.27/4.66 Y := X
% 4.27/4.66 end
% 4.27/4.66
% 4.27/4.66 eqswap: (21348) {G1,W6,D3,L1,V2,M1} { skol16( Y, X ) = skol2( X ) }.
% 4.27/4.66 parent0[0]: (21347) {G1,W6,D3,L1,V2,M1} { skol2( X ) = skol16( Y, X ) }.
% 4.27/4.66 substitution0:
% 4.27/4.66 X := X
% 4.27/4.66 Y := Y
% 4.27/4.66 end
% 4.27/4.66
% 4.27/4.66 subsumption: (248) {G2,W6,D3,L1,V2,M1} R(118,6) { skol16( X, Y ) ==> skol2
% 4.27/4.66 ( Y ) }.
% 4.27/4.66 parent0: (21348) {G1,W6,D3,L1,V2,M1} { skol16( Y, X ) = skol2( X ) }.
% 4.27/4.66 substitution0:
% 4.27/4.66 X := Y
% 4.27/4.66 Y := X
% 4.27/4.66 end
% 4.27/4.66 permutation0:
% 4.27/4.66 0 ==> 0
% 4.27/4.66 end
% 4.27/4.66
% 4.27/4.66 eqswap: (21349) {G0,W9,D3,L2,V2,M2} { skol2( Y ) = X, alpha2( Y, skol2( Y
% 4.27/4.66 ), X ) }.
% 4.27/4.66 parent0[1]: (6) {G0,W9,D3,L2,V2,M2} I { alpha2( X, skol2( X ), Y ), Y =
% 4.27/4.66 skol2( X ) }.
% 4.27/4.66 substitution0:
% 4.27/4.66 X := Y
% 4.27/4.66 Y := X
% 4.27/4.66 end
% 4.27/4.66
% 4.27/4.66 resolution: (21350) {G1,W6,D3,L1,V2,M1} { skol2( X ) = skol17( Y, X ) }.
% 4.27/4.66 parent0[0]: (113) {G1,W6,D3,L1,V3,M1} R(7,25) { ! alpha2( X, Y, skol17( Z,
% 4.27/4.66 X ) ) }.
% 4.27/4.66 parent1[1]: (21349) {G0,W9,D3,L2,V2,M2} { skol2( Y ) = X, alpha2( Y, skol2
% 4.27/4.66 ( Y ), X ) }.
% 4.27/4.66 substitution0:
% 4.27/4.66 X := X
% 4.27/4.66 Y := skol2( X )
% 4.27/4.66 Z := Y
% 4.27/4.66 end
% 4.27/4.66 substitution1:
% 4.27/4.66 X := skol17( Y, X )
% 4.27/4.66 Y := X
% 4.27/4.66 end
% 4.27/4.66
% 4.27/4.66 eqswap: (21351) {G1,W6,D3,L1,V2,M1} { skol17( Y, X ) = skol2( X ) }.
% 4.27/4.66 parent0[0]: (21350) {G1,W6,D3,L1,V2,M1} { skol2( X ) = skol17( Y, X ) }.
% 4.27/4.66 substitution0:
% 4.27/4.66 X := X
% 4.27/4.66 Y := Y
% 4.27/4.66 end
% 4.27/4.66
% 4.27/4.66 subsumption: (249) {G2,W6,D3,L1,V2,M1} R(113,6) { skol17( X, Y ) ==> skol2
% 4.27/4.66 ( Y ) }.
% 4.27/4.66 parent0: (21351) {G1,W6,D3,L1,V2,M1} { skol17( Y, X ) = skol2( X ) }.
% 4.27/4.66 substitution0:
% 4.27/4.66 X := Y
% 4.27/4.66 Y := X
% 4.27/4.66 end
% 4.27/4.66 permutation0:
% 4.27/4.66 0 ==> 0
% 4.27/4.66 end
% 4.27/4.66
% 4.27/4.66 resolution: (21352) {G1,W7,D3,L1,V3,M1} { ! alpha3( X, Y, Z, skol19( X, Y
% 4.27/4.66 ) ) }.
% 4.27/4.66 parent0[1]: (12) {G0,W9,D2,L2,V4,M2} I { ! alpha3( X, Y, Z, T ), ! r3( X, Y
% 4.27/4.66 , T ) }.
% 4.27/4.66 parent1[0]: (24) {G0,W6,D3,L1,V2,M1} I { r3( X, Y, skol19( X, Y ) ) }.
% 4.27/4.66 substitution0:
% 4.27/4.66 X := X
% 4.27/4.66 Y := Y
% 4.27/4.66 Z := Z
% 4.27/4.66 T := skol19( X, Y )
% 4.27/4.66 end
% 4.27/4.66 substitution1:
% 4.27/4.66 X := X
% 4.27/4.66 Y := Y
% 4.27/4.66 end
% 4.27/4.66
% 4.27/4.66 subsumption: (306) {G1,W7,D3,L1,V3,M1} R(24,12) { ! alpha3( X, Y, Z, skol19
% 4.27/4.66 ( X, Y ) ) }.
% 4.27/4.66 parent0: (21352) {G1,W7,D3,L1,V3,M1} { ! alpha3( X, Y, Z, skol19( X, Y ) )
% 4.27/4.66 }.
% 4.27/4.66 substitution0:
% 4.27/4.66 X := X
% 4.27/4.66 Y := Y
% 4.27/4.66 Z := Z
% 4.27/4.66 end
% 4.27/4.66 permutation0:
% 4.27/4.66 0 ==> 0
% 4.27/4.66 end
% 4.27/4.66
% 4.27/4.66 paramod: (21355) {G2,W5,D3,L1,V1,M1} { r4( X, skol1, skol14( X ) ) }.
% 4.27/4.66 parent0[0]: (68) {G2,W4,D3,L1,V1,M1} R(65,1) { skol18( X ) ==> skol1 }.
% 4.27/4.66 parent1[0; 2]: (37) {G1,W6,D3,L1,V1,M1} I;d(35) { r4( X, skol18( X ),
% 4.27/4.66 skol14( X ) ) }.
% 4.27/4.66 substitution0:
% 4.27/4.66 X := X
% 4.27/4.66 end
% 4.27/4.66 substitution1:
% 4.27/4.66 X := X
% 4.27/4.66 end
% 4.27/4.66
% 4.27/4.66 paramod: (21356) {G3,W4,D2,L1,V1,M1} { r4( X, skol1, skol1 ) }.
% 4.27/4.66 parent0[0]: (67) {G2,W4,D3,L1,V1,M1} R(64,1) { skol14( X ) ==> skol1 }.
% 4.27/4.66 parent1[0; 3]: (21355) {G2,W5,D3,L1,V1,M1} { r4( X, skol1, skol14( X ) )
% 4.27/4.66 }.
% 4.27/4.66 substitution0:
% 4.27/4.66 X := X
% 4.27/4.66 end
% 4.27/4.66 substitution1:
% 4.27/4.66 X := X
% 4.27/4.66 end
% 4.27/4.66
% 4.27/4.66 subsumption: (318) {G3,W4,D2,L1,V1,M1} S(37);d(68);d(67) { r4( X, skol1,
% 4.27/4.66 skol1 ) }.
% 4.27/4.66 parent0: (21356) {G3,W4,D2,L1,V1,M1} { r4( X, skol1, skol1 ) }.
% 4.27/4.66 substitution0:
% 4.27/4.66 X := X
% 4.27/4.66 end
% 4.27/4.66 permutation0:
% 4.27/4.66 0 ==> 0
% 4.27/4.66 end
% 4.27/4.66
% 4.27/4.66 paramod: (21359) {G1,W5,D3,L1,V1,M1} { r3( X, skol1, skol7( X ) ) }.
% 4.27/4.66 parent0[0]: (66) {G2,W4,D3,L1,V1,M1} R(63,1) { skol13( X ) ==> skol1 }.
% 4.27/4.66 parent1[0; 2]: (32) {G0,W6,D3,L1,V1,M1} I { r3( X, skol13( X ), skol7( X )
% 4.27/4.66 ) }.
% 4.27/4.66 substitution0:
% 4.27/4.66 X := X
% 4.27/4.66 end
% 4.27/4.66 substitution1:
% 4.27/4.66 X := X
% 4.27/4.66 end
% 4.27/4.66
% 4.27/4.66 paramod: (21360) {G1,W4,D2,L1,V1,M1} { r3( X, skol1, X ) }.
% 4.27/4.66 parent0[0]: (33) {G0,W4,D3,L1,V1,M1} I { skol7( X ) ==> X }.
% 4.27/4.66 parent1[0; 3]: (21359) {G1,W5,D3,L1,V1,M1} { r3( X, skol1, skol7( X ) )
% 4.27/4.66 }.
% 4.27/4.66 substitution0:
% 4.27/4.66 X := X
% 4.27/4.66 end
% 4.27/4.66 substitution1:
% 4.27/4.66 X := X
% 4.27/4.66 end
% 4.27/4.66
% 4.27/4.66 subsumption: (338) {G3,W4,D2,L1,V1,M1} S(32);d(66);d(33) { r3( X, skol1, X
% 4.27/4.66 ) }.
% 4.27/4.66 parent0: (21360) {G1,W4,D2,L1,V1,M1} { r3( X, skol1, X ) }.
% 4.27/4.66 substitution0:
% 4.27/4.66 X := X
% 4.27/4.66 end
% 4.27/4.66 permutation0:
% 4.27/4.66 0 ==> 0
% 4.27/4.66 end
% 4.27/4.66
% 4.27/4.66 resolution: (21361) {G1,W5,D2,L1,V2,M1} { ! alpha3( X, skol1, Y, X ) }.
% 4.27/4.66 parent0[1]: (12) {G0,W9,D2,L2,V4,M2} I { ! alpha3( X, Y, Z, T ), ! r3( X, Y
% 4.27/4.66 , T ) }.
% 4.27/4.66 parent1[0]: (338) {G3,W4,D2,L1,V1,M1} S(32);d(66);d(33) { r3( X, skol1, X )
% 4.27/4.66 }.
% 4.27/4.66 substitution0:
% 4.27/4.66 X := X
% 4.27/4.66 Y := skol1
% 4.27/4.66 Z := Y
% 4.27/4.66 T := X
% 4.27/4.66 end
% 4.27/4.66 substitution1:
% 4.27/4.66 X := X
% 4.27/4.66 end
% 4.27/4.66
% 4.27/4.66 subsumption: (374) {G4,W5,D2,L1,V2,M1} R(338,12) { ! alpha3( X, skol1, Y, X
% 4.27/4.66 ) }.
% 4.27/4.66 parent0: (21361) {G1,W5,D2,L1,V2,M1} { ! alpha3( X, skol1, Y, X ) }.
% 4.27/4.66 substitution0:
% 4.27/4.66 X := X
% 4.27/4.66 Y := Y
% 4.27/4.66 end
% 4.27/4.66 permutation0:
% 4.27/4.66 0 ==> 0
% 4.27/4.66 end
% 4.27/4.66
% 4.27/4.66 eqswap: (21362) {G0,W12,D3,L2,V3,M2} { skol3( Y, Z ) = X, alpha3( Y, Z,
% 4.27/4.66 skol3( Y, Z ), X ) }.
% 4.27/4.66 parent0[1]: (11) {G0,W12,D3,L2,V3,M2} I { alpha3( X, Y, skol3( X, Y ), Z )
% 4.27/4.66 , Z = skol3( X, Y ) }.
% 4.27/4.66 substitution0:
% 4.27/4.66 X := Y
% 4.27/4.66 Y := Z
% 4.27/4.66 Z := X
% 4.27/4.66 end
% 4.27/4.66
% 4.27/4.66 resolution: (21363) {G1,W5,D3,L1,V1,M1} { skol3( X, skol1 ) = X }.
% 4.27/4.66 parent0[0]: (374) {G4,W5,D2,L1,V2,M1} R(338,12) { ! alpha3( X, skol1, Y, X
% 4.27/4.66 ) }.
% 4.27/4.66 parent1[1]: (21362) {G0,W12,D3,L2,V3,M2} { skol3( Y, Z ) = X, alpha3( Y, Z
% 4.27/4.66 , skol3( Y, Z ), X ) }.
% 4.27/4.66 substitution0:
% 4.27/4.66 X := X
% 4.27/4.66 Y := skol3( X, skol1 )
% 4.27/4.66 end
% 4.27/4.66 substitution1:
% 4.27/4.66 X := X
% 4.27/4.66 Y := X
% 4.27/4.66 Z := skol1
% 4.27/4.66 end
% 4.27/4.66
% 4.27/4.66 subsumption: (385) {G5,W5,D3,L1,V1,M1} R(374,11) { skol3( X, skol1 ) ==> X
% 4.27/4.66 }.
% 4.27/4.66 parent0: (21363) {G1,W5,D3,L1,V1,M1} { skol3( X, skol1 ) = X }.
% 4.27/4.66 substitution0:
% 4.27/4.66 X := X
% 4.27/4.66 end
% 4.27/4.66 permutation0:
% 4.27/4.66 0 ==> 0
% 4.27/4.66 end
% 4.27/4.66
% 4.27/4.66 resolution: (21365) {G1,W5,D2,L1,V2,M1} { ! alpha4( X, skol1, Y, skol1 )
% 4.27/4.66 }.
% 4.27/4.66 parent0[1]: (17) {G0,W9,D2,L2,V4,M2} I { ! alpha4( X, Y, Z, T ), ! r4( X, Y
% 4.27/4.66 , T ) }.
% 4.27/4.66 parent1[0]: (318) {G3,W4,D2,L1,V1,M1} S(37);d(68);d(67) { r4( X, skol1,
% 4.27/4.66 skol1 ) }.
% 4.27/4.66 substitution0:
% 4.27/4.66 X := X
% 4.27/4.66 Y := skol1
% 4.27/4.66 Z := Y
% 4.27/4.66 T := skol1
% 4.27/4.66 end
% 4.27/4.66 substitution1:
% 4.27/4.66 X := X
% 4.27/4.66 end
% 4.27/4.66
% 4.27/4.66 subsumption: (393) {G4,W5,D2,L1,V2,M1} R(17,318) { ! alpha4( X, skol1, Y,
% 4.27/4.66 skol1 ) }.
% 4.27/4.66 parent0: (21365) {G1,W5,D2,L1,V2,M1} { ! alpha4( X, skol1, Y, skol1 ) }.
% 4.27/4.66 substitution0:
% 4.27/4.66 X := X
% 4.27/4.66 Y := Y
% 4.27/4.66 end
% 4.27/4.66 permutation0:
% 4.27/4.66 0 ==> 0
% 4.27/4.66 end
% 4.27/4.66
% 4.27/4.66 resolution: (21366) {G1,W7,D3,L1,V3,M1} { ! alpha4( X, Y, Z, skol20( X, Y
% 4.27/4.66 ) ) }.
% 4.27/4.66 parent0[1]: (17) {G0,W9,D2,L2,V4,M2} I { ! alpha4( X, Y, Z, T ), ! r4( X, Y
% 4.27/4.66 , T ) }.
% 4.27/4.66 parent1[0]: (29) {G0,W6,D3,L1,V2,M1} I { r4( X, Y, skol20( X, Y ) ) }.
% 4.27/4.66 substitution0:
% 4.27/4.66 X := X
% 4.27/4.66 Y := Y
% 4.27/4.66 Z := Z
% 4.27/4.66 T := skol20( X, Y )
% 4.27/4.66 end
% 4.27/4.66 substitution1:
% 4.27/4.66 X := X
% 4.27/4.66 Y := Y
% 4.27/4.66 end
% 4.27/4.66
% 4.27/4.66 subsumption: (395) {G1,W7,D3,L1,V3,M1} R(17,29) { ! alpha4( X, Y, Z, skol20
% 4.27/4.66 ( X, Y ) ) }.
% 4.27/4.66 parent0: (21366) {G1,W7,D3,L1,V3,M1} { ! alpha4( X, Y, Z, skol20( X, Y ) )
% 4.27/4.66 }.
% 4.27/4.66 substitution0:
% 4.27/4.66 X := X
% 4.27/4.66 Y := Y
% 4.27/4.66 Z := Z
% 4.27/4.66 end
% 4.27/4.66 permutation0:
% 4.27/4.66 0 ==> 0
% 4.27/4.66 end
% 4.27/4.66
% 4.27/4.66 eqswap: (21367) {G0,W12,D3,L2,V3,M2} { skol4( Y, Z ) = X, alpha4( Y, Z,
% 4.27/4.66 skol4( Y, Z ), X ) }.
% 4.27/4.66 parent0[1]: (16) {G0,W12,D3,L2,V3,M2} I { alpha4( X, Y, skol4( X, Y ), Z )
% 4.27/4.66 , Z = skol4( X, Y ) }.
% 4.27/4.66 substitution0:
% 4.27/4.66 X := Y
% 4.27/4.66 Y := Z
% 4.27/4.66 Z := X
% 4.27/4.66 end
% 4.27/4.66
% 4.27/4.66 resolution: (21368) {G1,W5,D3,L1,V1,M1} { skol4( X, skol1 ) = skol1 }.
% 4.27/4.66 parent0[0]: (393) {G4,W5,D2,L1,V2,M1} R(17,318) { ! alpha4( X, skol1, Y,
% 4.27/4.66 skol1 ) }.
% 4.27/4.66 parent1[1]: (21367) {G0,W12,D3,L2,V3,M2} { skol4( Y, Z ) = X, alpha4( Y, Z
% 4.27/4.66 , skol4( Y, Z ), X ) }.
% 4.27/4.66 substitution0:
% 4.27/4.66 X := X
% 4.27/4.66 Y := skol4( X, skol1 )
% 4.27/4.66 end
% 4.27/4.66 substitution1:
% 4.27/4.66 X := skol1
% 4.27/4.66 Y := X
% 4.27/4.66 Z := skol1
% 4.27/4.66 end
% 4.27/4.66
% 4.27/4.66 subsumption: (396) {G5,W5,D3,L1,V1,M1} R(393,16) { skol4( X, skol1 ) ==>
% 4.27/4.66 skol1 }.
% 4.27/4.66 parent0: (21368) {G1,W5,D3,L1,V1,M1} { skol4( X, skol1 ) = skol1 }.
% 4.27/4.66 substitution0:
% 4.27/4.66 X := X
% 4.27/4.66 end
% 4.27/4.66 permutation0:
% 4.27/4.66 0 ==> 0
% 4.27/4.66 end
% 4.27/4.66
% 4.27/4.66 paramod: (21372) {G1,W5,D2,L2,V1,M2} { skol1 ==> X, ! alpha5( X ) }.
% 4.27/4.66 parent0[0]: (193) {G4,W4,D3,L1,V1,M1} R(186,60) { skol10( X ) ==> skol1 }.
% 4.27/4.66 parent1[1; 1]: (41) {G0,W6,D3,L2,V1,M2} I { ! alpha5( X ), skol10( X ) ==>
% 4.27/4.66 X }.
% 4.27/4.66 substitution0:
% 4.27/4.66 X := X
% 4.27/4.66 end
% 4.27/4.66 substitution1:
% 4.27/4.66 X := X
% 4.27/4.66 end
% 4.27/4.66
% 4.27/4.66 subsumption: (474) {G5,W5,D2,L2,V1,M2} S(41);d(193) { ! alpha5( X ), skol1
% 4.27/4.66 = X }.
% 4.27/4.66 parent0: (21372) {G1,W5,D2,L2,V1,M2} { skol1 ==> X, ! alpha5( X ) }.
% 4.27/4.66 substitution0:
% 4.27/4.66 X := X
% 4.27/4.66 end
% 4.27/4.66 permutation0:
% 4.27/4.66 0 ==> 1
% 4.27/4.66 1 ==> 0
% 4.27/4.66 end
% 4.27/4.66
% 4.27/4.66 paramod: (21386) {G4,W5,D2,L2,V2,M2} { ! r2( X, Y ), ! alpha5( Y ) }.
% 4.27/4.66 parent0[1]: (474) {G5,W5,D2,L2,V1,M2} S(41);d(193) { ! alpha5( X ), skol1 =
% 4.27/4.66 X }.
% 4.27/4.66 parent1[0; 3]: (73) {G3,W3,D2,L1,V1,M1} R(51,53) { ! r2( X, skol1 ) }.
% 4.27/4.66 substitution0:
% 4.27/4.66 X := Y
% 4.27/4.66 end
% 4.27/4.66 substitution1:
% 4.27/4.66 X := X
% 4.27/4.66 end
% 4.27/4.66
% 4.27/4.66 subsumption: (503) {G6,W5,D2,L2,V2,M2} P(474,73) { ! r2( Y, X ), ! alpha5(
% 4.27/4.66 X ) }.
% 4.27/4.66 parent0: (21386) {G4,W5,D2,L2,V2,M2} { ! r2( X, Y ), ! alpha5( Y ) }.
% 4.27/4.66 substitution0:
% 4.27/4.66 X := Y
% 4.27/4.66 Y := X
% 4.27/4.66 end
% 4.27/4.66 permutation0:
% 4.27/4.66 0 ==> 0
% 4.27/4.66 1 ==> 1
% 4.27/4.66 end
% 4.27/4.66
% 4.27/4.66 paramod: (21399) {G3,W4,D2,L2,V1,M2} { r1( X ), ! alpha5( X ) }.
% 4.27/4.66 parent0[1]: (474) {G5,W5,D2,L2,V1,M2} S(41);d(193) { ! alpha5( X ), skol1 =
% 4.27/4.66 X }.
% 4.27/4.66 parent1[0; 1]: (53) {G2,W2,D2,L1,V0,M1} R(0,45) { r1( skol1 ) }.
% 4.27/4.66 substitution0:
% 4.27/4.66 X := X
% 4.27/4.66 end
% 4.27/4.66 substitution1:
% 4.27/4.66 end
% 4.27/4.66
% 4.27/4.66 subsumption: (506) {G6,W4,D2,L2,V1,M2} P(474,53) { r1( X ), ! alpha5( X )
% 4.27/4.66 }.
% 4.27/4.66 parent0: (21399) {G3,W4,D2,L2,V1,M2} { r1( X ), ! alpha5( X ) }.
% 4.27/4.66 substitution0:
% 4.27/4.66 X := X
% 4.27/4.66 end
% 4.27/4.66 permutation0:
% 4.27/4.66 0 ==> 0
% 4.27/4.66 1 ==> 1
% 4.27/4.66 end
% 4.27/4.66
% 4.27/4.66 paramod: (21402) {G1,W7,D3,L1,V2,M1} { r3( X, skol2( Y ), skol11( X, Y ) )
% 4.27/4.66 }.
% 4.27/4.66 parent0[0]: (248) {G2,W6,D3,L1,V2,M1} R(118,6) { skol16( X, Y ) ==> skol2(
% 4.27/4.66 Y ) }.
% 4.27/4.66 parent1[0; 2]: (21) {G0,W8,D3,L1,V2,M1} I { r3( X, skol16( X, Y ), skol11(
% 4.27/4.66 X, Y ) ) }.
% 4.27/4.66 substitution0:
% 4.27/4.66 X := X
% 4.27/4.66 Y := Y
% 4.27/4.66 end
% 4.27/4.66 substitution1:
% 4.27/4.66 X := X
% 4.27/4.66 Y := Y
% 4.27/4.66 end
% 4.27/4.66
% 4.27/4.66 paramod: (21403) {G1,W7,D3,L1,V2,M1} { r3( X, skol2( Y ), skol5( X, Y ) )
% 4.27/4.66 }.
% 4.27/4.66 parent0[0]: (22) {G0,W7,D3,L1,V2,M1} I { skol11( X, Y ) ==> skol5( X, Y )
% 4.27/4.66 }.
% 4.27/4.66 parent1[0; 4]: (21402) {G1,W7,D3,L1,V2,M1} { r3( X, skol2( Y ), skol11( X
% 4.27/4.66 , Y ) ) }.
% 4.27/4.66 substitution0:
% 4.27/4.66 X := X
% 4.27/4.66 Y := Y
% 4.27/4.66 end
% 4.27/4.66 substitution1:
% 4.27/4.66 X := X
% 4.27/4.66 Y := Y
% 4.27/4.66 end
% 4.27/4.66
% 4.27/4.66 subsumption: (508) {G3,W7,D3,L1,V2,M1} S(21);d(248);d(22) { r3( X, skol2( Y
% 4.27/4.66 ), skol5( X, Y ) ) }.
% 4.27/4.66 parent0: (21403) {G1,W7,D3,L1,V2,M1} { r3( X, skol2( Y ), skol5( X, Y ) )
% 4.27/4.66 }.
% 4.27/4.66 substitution0:
% 4.27/4.66 X := X
% 4.27/4.66 Y := Y
% 4.27/4.66 end
% 4.27/4.66 permutation0:
% 4.27/4.66 0 ==> 0
% 4.27/4.66 end
% 4.27/4.66
% 4.27/4.66 resolution: (21404) {G1,W4,D3,L1,V2,M1} { ! alpha5( skol5( X, Y ) ) }.
% 4.27/4.66 parent0[0]: (503) {G6,W5,D2,L2,V2,M2} P(474,73) { ! r2( Y, X ), ! alpha5( X
% 4.27/4.66 ) }.
% 4.27/4.66 parent1[0]: (23) {G0,W7,D3,L1,V2,M1} I { r2( skol19( X, Y ), skol5( X, Y )
% 4.27/4.66 ) }.
% 4.27/4.66 substitution0:
% 4.27/4.66 X := skol5( X, Y )
% 4.27/4.66 Y := skol19( X, Y )
% 4.27/4.66 end
% 4.27/4.66 substitution1:
% 4.27/4.66 X := X
% 4.27/4.66 Y := Y
% 4.27/4.66 end
% 4.27/4.66
% 4.27/4.66 subsumption: (520) {G7,W4,D3,L1,V2,M1} R(23,503) { ! alpha5( skol5( X, Y )
% 4.27/4.66 ) }.
% 4.27/4.66 parent0: (21404) {G1,W4,D3,L1,V2,M1} { ! alpha5( skol5( X, Y ) ) }.
% 4.27/4.66 substitution0:
% 4.27/4.66 X := X
% 4.27/4.66 Y := Y
% 4.27/4.66 end
% 4.27/4.66 permutation0:
% 4.27/4.66 0 ==> 0
% 4.27/4.66 end
% 4.27/4.66
% 4.27/4.66 paramod: (21407) {G1,W7,D3,L1,V2,M1} { r4( X, skol2( Y ), skol12( X, Y ) )
% 4.27/4.66 }.
% 4.27/4.66 parent0[0]: (249) {G2,W6,D3,L1,V2,M1} R(113,6) { skol17( X, Y ) ==> skol2(
% 4.27/4.66 Y ) }.
% 4.27/4.66 parent1[0; 2]: (26) {G0,W8,D3,L1,V2,M1} I { r4( X, skol17( X, Y ), skol12(
% 4.27/4.66 X, Y ) ) }.
% 4.27/4.66 substitution0:
% 4.27/4.66 X := X
% 4.27/4.66 Y := Y
% 4.27/4.66 end
% 4.27/4.66 substitution1:
% 4.27/4.66 X := X
% 4.27/4.66 Y := Y
% 4.27/4.66 end
% 4.27/4.66
% 4.27/4.66 paramod: (21408) {G1,W7,D3,L1,V2,M1} { r4( X, skol2( Y ), skol6( X, Y ) )
% 4.27/4.66 }.
% 4.27/4.66 parent0[0]: (27) {G0,W7,D3,L1,V2,M1} I { skol12( X, Y ) ==> skol6( X, Y )
% 4.27/4.66 }.
% 4.27/4.66 parent1[0; 4]: (21407) {G1,W7,D3,L1,V2,M1} { r4( X, skol2( Y ), skol12( X
% 4.27/4.66 , Y ) ) }.
% 4.27/4.66 substitution0:
% 4.27/4.66 X := X
% 4.27/4.66 Y := Y
% 4.27/4.66 end
% 4.27/4.66 substitution1:
% 4.27/4.66 X := X
% 4.27/4.66 Y := Y
% 4.27/4.66 end
% 4.27/4.66
% 4.27/4.66 subsumption: (572) {G3,W7,D3,L1,V2,M1} S(26);d(249);d(27) { r4( X, skol2( Y
% 4.27/4.66 ), skol6( X, Y ) ) }.
% 4.27/4.66 parent0: (21408) {G1,W7,D3,L1,V2,M1} { r4( X, skol2( Y ), skol6( X, Y ) )
% 4.27/4.66 }.
% 4.27/4.66 substitution0:
% 4.27/4.66 X := X
% 4.27/4.66 Y := Y
% 4.27/4.66 end
% 4.27/4.66 permutation0:
% 4.27/4.66 0 ==> 0
% 4.27/4.66 end
% 4.27/4.66
% 4.27/4.66 eqswap: (21409) {G0,W6,D3,L2,V1,M2} { X ==> skol9( X ), alpha5( X ) }.
% 4.27/4.66 parent0[1]: (39) {G0,W6,D3,L2,V1,M2} I { alpha5( X ), skol9( X ) ==> X }.
% 4.27/4.66 substitution0:
% 4.27/4.66 X := X
% 4.27/4.66 end
% 4.27/4.66
% 4.27/4.66 resolution: (21410) {G1,W6,D3,L2,V1,M2} { r1( X ), X ==> skol9( X ) }.
% 4.27/4.66 parent0[1]: (506) {G6,W4,D2,L2,V1,M2} P(474,53) { r1( X ), ! alpha5( X )
% 4.27/4.66 }.
% 4.27/4.66 parent1[1]: (21409) {G0,W6,D3,L2,V1,M2} { X ==> skol9( X ), alpha5( X )
% 4.27/4.66 }.
% 4.27/4.66 substitution0:
% 4.27/4.66 X := X
% 4.27/4.66 end
% 4.27/4.66 substitution1:
% 4.27/4.66 X := X
% 4.27/4.66 end
% 4.27/4.66
% 4.27/4.66 eqswap: (21411) {G1,W6,D3,L2,V1,M2} { skol9( X ) ==> X, r1( X ) }.
% 4.27/4.66 parent0[1]: (21410) {G1,W6,D3,L2,V1,M2} { r1( X ), X ==> skol9( X ) }.
% 4.27/4.66 substitution0:
% 4.27/4.66 X := X
% 4.27/4.66 end
% 4.27/4.66
% 4.27/4.66 subsumption: (619) {G7,W6,D3,L2,V1,M2} R(39,506) { skol9( X ) ==> X, r1( X
% 4.27/4.66 ) }.
% 4.27/4.66 parent0: (21411) {G1,W6,D3,L2,V1,M2} { skol9( X ) ==> X, r1( X ) }.
% 4.27/4.66 substitution0:
% 4.27/4.66 X := X
% 4.27/4.66 end
% 4.27/4.66 permutation0:
% 4.27/4.66 0 ==> 0
% 4.27/4.66 1 ==> 1
% 4.27/4.66 end
% 4.27/4.66
% 4.27/4.66 resolution: (21412) {G1,W5,D3,L1,V1,M1} { r2( skol15( Z ), skol9( Z ) )
% 4.27/4.66 }.
% 4.27/4.66 parent0[0]: (520) {G7,W4,D3,L1,V2,M1} R(23,503) { ! alpha5( skol5( X, Y ) )
% 4.27/4.66 }.
% 4.27/4.66 parent1[0]: (38) {G0,W7,D3,L2,V2,M2} I { alpha5( X ), r2( skol15( Y ),
% 4.27/4.66 skol9( Y ) ) }.
% 4.27/4.66 substitution0:
% 4.27/4.66 X := X
% 4.27/4.66 Y := Y
% 4.27/4.66 end
% 4.27/4.66 substitution1:
% 4.27/4.66 X := skol5( X, Y )
% 4.27/4.66 Y := Z
% 4.27/4.66 end
% 4.27/4.66
% 4.27/4.66 subsumption: (833) {G8,W5,D3,L1,V1,M1} R(38,520) { r2( skol15( X ), skol9(
% 4.27/4.66 X ) ) }.
% 4.27/4.66 parent0: (21412) {G1,W5,D3,L1,V1,M1} { r2( skol15( Z ), skol9( Z ) ) }.
% 4.27/4.66 substitution0:
% 4.27/4.66 X := Y
% 4.27/4.66 Y := Z
% 4.27/4.66 Z := X
% 4.27/4.66 end
% 4.27/4.66 permutation0:
% 4.27/4.66 0 ==> 0
% 4.27/4.66 end
% 4.27/4.66
% 4.27/4.66 paramod: (21414) {G8,W6,D3,L2,V1,M2} { r2( skol15( X ), X ), r1( X ) }.
% 4.27/4.66 parent0[0]: (619) {G7,W6,D3,L2,V1,M2} R(39,506) { skol9( X ) ==> X, r1( X )
% 4.27/4.66 }.
% 4.27/4.66 parent1[0; 3]: (833) {G8,W5,D3,L1,V1,M1} R(38,520) { r2( skol15( X ), skol9
% 4.27/4.66 ( X ) ) }.
% 4.27/4.66 substitution0:
% 4.27/4.66 X := X
% 4.27/4.66 end
% 4.27/4.66 substitution1:
% 4.27/4.66 X := X
% 4.27/4.66 end
% 4.27/4.66
% 4.27/4.66 subsumption: (885) {G9,W6,D3,L2,V1,M2} P(619,833) { r2( skol15( X ), X ),
% 4.27/4.66 r1( X ) }.
% 4.27/4.66 parent0: (21414) {G8,W6,D3,L2,V1,M2} { r2( skol15( X ), X ), r1( X ) }.
% 4.27/4.66 substitution0:
% 4.27/4.66 X := X
% 4.27/4.66 end
% 4.27/4.66 permutation0:
% 4.27/4.66 0 ==> 0
% 4.27/4.66 1 ==> 1
% 4.27/4.66 end
% 4.27/4.66
% 4.27/4.66 resolution: (21415) {G2,W7,D3,L2,V2,M2} { ! r2( Y, X ), r2( skol15( X ), X
% 4.27/4.66 ) }.
% 4.27/4.66 parent0[0]: (51) {G1,W5,D2,L2,V2,M2} Q(43) { ! r1( X ), ! r2( Y, X ) }.
% 4.27/4.66 parent1[1]: (885) {G9,W6,D3,L2,V1,M2} P(619,833) { r2( skol15( X ), X ), r1
% 4.27/4.66 ( X ) }.
% 4.27/4.66 substitution0:
% 4.27/4.66 X := X
% 4.27/4.66 Y := Y
% 4.27/4.66 end
% 4.27/4.66 substitution1:
% 4.27/4.66 X := X
% 4.27/4.66 end
% 4.27/4.66
% 4.27/4.66 subsumption: (1083) {G10,W7,D3,L2,V2,M2} R(885,51) { r2( skol15( X ), X ),
% 4.27/4.66 ! r2( Y, X ) }.
% 4.27/4.66 parent0: (21415) {G2,W7,D3,L2,V2,M2} { ! r2( Y, X ), r2( skol15( X ), X )
% 4.27/4.66 }.
% 4.27/4.66 substitution0:
% 4.27/4.66 X := X
% 4.27/4.66 Y := Y
% 4.27/4.66 end
% 4.27/4.66 permutation0:
% 4.27/4.66 0 ==> 1
% 4.27/4.66 1 ==> 0
% 4.27/4.66 end
% 4.27/4.66
% 4.27/4.66 eqswap: (21417) {G0,W12,D3,L2,V3,M2} { skol4( Y, Z ) = X, alpha4( Y, Z,
% 4.27/4.66 skol4( Y, Z ), X ) }.
% 4.27/4.66 parent0[1]: (16) {G0,W12,D3,L2,V3,M2} I { alpha4( X, Y, skol4( X, Y ), Z )
% 4.27/4.66 , Z = skol4( X, Y ) }.
% 4.27/4.66 substitution0:
% 4.27/4.66 X := Y
% 4.27/4.66 Y := Z
% 4.27/4.66 Z := X
% 4.27/4.66 end
% 4.27/4.66
% 4.27/4.66 resolution: (21418) {G1,W7,D3,L1,V2,M1} { skol4( X, Y ) = skol20( X, Y )
% 4.27/4.66 }.
% 4.27/4.66 parent0[0]: (395) {G1,W7,D3,L1,V3,M1} R(17,29) { ! alpha4( X, Y, Z, skol20
% 4.27/4.66 ( X, Y ) ) }.
% 4.27/4.66 parent1[1]: (21417) {G0,W12,D3,L2,V3,M2} { skol4( Y, Z ) = X, alpha4( Y, Z
% 4.27/4.66 , skol4( Y, Z ), X ) }.
% 4.27/4.66 substitution0:
% 4.27/4.66 X := X
% 4.27/4.66 Y := Y
% 4.27/4.66 Z := skol4( X, Y )
% 4.27/4.66 end
% 4.27/4.66 substitution1:
% 4.27/4.66 X := skol20( X, Y )
% 4.27/4.66 Y := X
% 4.27/4.66 Z := Y
% 4.27/4.66 end
% 4.27/4.66
% 4.27/4.66 subsumption: (1613) {G2,W7,D3,L1,V2,M1} R(395,16) { skol4( X, Y ) ==>
% 4.27/4.66 skol20( X, Y ) }.
% 4.27/4.66 parent0: (21418) {G1,W7,D3,L1,V2,M1} { skol4( X, Y ) = skol20( X, Y ) }.
% 4.27/4.66 substitution0:
% 4.27/4.66 X := X
% 4.27/4.66 Y := Y
% 4.27/4.66 end
% 4.27/4.66 permutation0:
% 4.27/4.66 0 ==> 0
% 4.27/4.66 end
% 4.27/4.66
% 4.27/4.66 eqswap: (21420) {G0,W12,D3,L2,V3,M2} { skol3( Y, Z ) = X, alpha3( Y, Z,
% 4.27/4.66 skol3( Y, Z ), X ) }.
% 4.27/4.66 parent0[1]: (11) {G0,W12,D3,L2,V3,M2} I { alpha3( X, Y, skol3( X, Y ), Z )
% 4.27/4.66 , Z = skol3( X, Y ) }.
% 4.27/4.66 substitution0:
% 4.27/4.66 X := Y
% 4.27/4.66 Y := Z
% 4.27/4.66 Z := X
% 4.27/4.66 end
% 4.27/4.66
% 4.27/4.66 resolution: (21421) {G1,W7,D3,L1,V2,M1} { skol3( X, Y ) = skol19( X, Y )
% 4.27/4.66 }.
% 4.27/4.66 parent0[0]: (306) {G1,W7,D3,L1,V3,M1} R(24,12) { ! alpha3( X, Y, Z, skol19
% 4.27/4.66 ( X, Y ) ) }.
% 4.27/4.66 parent1[1]: (21420) {G0,W12,D3,L2,V3,M2} { skol3( Y, Z ) = X, alpha3( Y, Z
% 4.27/4.66 , skol3( Y, Z ), X ) }.
% 4.27/4.66 substitution0:
% 4.27/4.66 X := X
% 4.27/4.66 Y := Y
% 4.27/4.66 Z := skol3( X, Y )
% 4.27/4.66 end
% 4.27/4.66 substitution1:
% 4.27/4.66 X := skol19( X, Y )
% 4.27/4.66 Y := X
% 4.27/4.66 Z := Y
% 4.27/4.66 end
% 4.27/4.66
% 4.27/4.66 eqswap: (21422) {G1,W7,D3,L1,V2,M1} { skol19( X, Y ) = skol3( X, Y ) }.
% 4.27/4.66 parent0[0]: (21421) {G1,W7,D3,L1,V2,M1} { skol3( X, Y ) = skol19( X, Y )
% 4.27/4.66 }.
% 4.27/4.66 substitution0:
% 4.27/4.66 X := X
% 4.27/4.66 Y := Y
% 4.27/4.66 end
% 4.27/4.66
% 4.27/4.66 subsumption: (1614) {G2,W7,D3,L1,V2,M1} R(306,11) { skol19( X, Y ) ==>
% 4.27/4.66 skol3( X, Y ) }.
% 4.27/4.66 parent0: (21422) {G1,W7,D3,L1,V2,M1} { skol19( X, Y ) = skol3( X, Y ) }.
% 4.27/4.66 substitution0:
% 4.27/4.66 X := X
% 4.27/4.66 Y := Y
% 4.27/4.66 end
% 4.27/4.66 permutation0:
% 4.27/4.66 0 ==> 0
% 4.27/4.66 end
% 4.27/4.66
% 4.27/4.66 paramod: (21424) {G1,W7,D3,L1,V2,M1} { r2( skol3( X, Y ), skol5( X, Y ) )
% 4.27/4.66 }.
% 4.27/4.66 parent0[0]: (1614) {G2,W7,D3,L1,V2,M1} R(306,11) { skol19( X, Y ) ==> skol3
% 4.27/4.66 ( X, Y ) }.
% 4.27/4.66 parent1[0; 1]: (23) {G0,W7,D3,L1,V2,M1} I { r2( skol19( X, Y ), skol5( X, Y
% 4.27/4.66 ) ) }.
% 4.27/4.66 substitution0:
% 4.27/4.66 X := X
% 4.27/4.66 Y := Y
% 4.27/4.66 end
% 4.27/4.66 substitution1:
% 4.27/4.66 X := X
% 4.27/4.66 Y := Y
% 4.27/4.66 end
% 4.27/4.66
% 4.27/4.66 subsumption: (1615) {G3,W7,D3,L1,V2,M1} P(1614,23) { r2( skol3( X, Y ),
% 4.27/4.66 skol5( X, Y ) ) }.
% 4.27/4.66 parent0: (21424) {G1,W7,D3,L1,V2,M1} { r2( skol3( X, Y ), skol5( X, Y ) )
% 4.27/4.66 }.
% 4.27/4.66 substitution0:
% 4.27/4.66 X := X
% 4.27/4.66 Y := Y
% 4.27/4.66 end
% 4.27/4.66 permutation0:
% 4.27/4.66 0 ==> 0
% 4.27/4.66 end
% 4.27/4.66
% 4.27/4.66 paramod: (21426) {G4,W5,D3,L1,V1,M1} { r2( X, skol5( X, skol1 ) ) }.
% 4.27/4.66 parent0[0]: (385) {G5,W5,D3,L1,V1,M1} R(374,11) { skol3( X, skol1 ) ==> X
% 4.27/4.66 }.
% 4.27/4.66 parent1[0; 1]: (1615) {G3,W7,D3,L1,V2,M1} P(1614,23) { r2( skol3( X, Y ),
% 4.27/4.66 skol5( X, Y ) ) }.
% 4.27/4.66 substitution0:
% 4.27/4.66 X := X
% 4.27/4.66 end
% 4.27/4.66 substitution1:
% 4.27/4.66 X := X
% 4.27/4.66 Y := skol1
% 4.27/4.66 end
% 4.27/4.66
% 4.27/4.66 subsumption: (1643) {G6,W5,D3,L1,V1,M1} P(385,1615) { r2( X, skol5( X,
% 4.27/4.66 skol1 ) ) }.
% 4.27/4.66 parent0: (21426) {G4,W5,D3,L1,V1,M1} { r2( X, skol5( X, skol1 ) ) }.
% 4.27/4.66 substitution0:
% 4.27/4.66 X := X
% 4.27/4.66 end
% 4.27/4.66 permutation0:
% 4.27/4.66 0 ==> 0
% 4.27/4.66 end
% 4.27/4.66
% 4.27/4.66 resolution: (21427) {G1,W6,D3,L1,V2,M1} { ! alpha2( X, Y, skol5( X, skol1
% 4.27/4.66 ) ) }.
% 4.27/4.66 parent0[1]: (7) {G0,W7,D2,L2,V3,M2} I { ! alpha2( X, Y, Z ), ! r2( X, Z )
% 4.27/4.66 }.
% 4.27/4.66 parent1[0]: (1643) {G6,W5,D3,L1,V1,M1} P(385,1615) { r2( X, skol5( X, skol1
% 4.27/4.66 ) ) }.
% 4.27/4.66 substitution0:
% 4.27/4.66 X := X
% 4.27/4.66 Y := Y
% 4.27/4.66 Z := skol5( X, skol1 )
% 4.27/4.66 end
% 4.27/4.66 substitution1:
% 4.27/4.66 X := X
% 4.27/4.66 end
% 4.27/4.66
% 4.27/4.66 subsumption: (1669) {G7,W6,D3,L1,V2,M1} R(1643,7) { ! alpha2( X, Y, skol5(
% 4.27/4.66 X, skol1 ) ) }.
% 4.27/4.66 parent0: (21427) {G1,W6,D3,L1,V2,M1} { ! alpha2( X, Y, skol5( X, skol1 ) )
% 4.27/4.66 }.
% 4.27/4.66 substitution0:
% 4.27/4.66 X := X
% 4.27/4.66 Y := Y
% 4.27/4.66 end
% 4.27/4.66 permutation0:
% 4.27/4.66 0 ==> 0
% 4.27/4.66 end
% 4.27/4.66
% 4.27/4.66 eqswap: (21428) {G0,W9,D3,L2,V2,M2} { skol2( Y ) = X, alpha2( Y, skol2( Y
% 4.27/4.66 ), X ) }.
% 4.27/4.66 parent0[1]: (6) {G0,W9,D3,L2,V2,M2} I { alpha2( X, skol2( X ), Y ), Y =
% 4.27/4.66 skol2( X ) }.
% 4.27/4.66 substitution0:
% 4.27/4.66 X := Y
% 4.27/4.66 Y := X
% 4.27/4.66 end
% 4.27/4.66
% 4.27/4.66 resolution: (21429) {G1,W6,D3,L1,V1,M1} { skol2( X ) = skol5( X, skol1 )
% 4.27/4.66 }.
% 4.27/4.66 parent0[0]: (1669) {G7,W6,D3,L1,V2,M1} R(1643,7) { ! alpha2( X, Y, skol5( X
% 4.27/4.66 , skol1 ) ) }.
% 4.27/4.66 parent1[1]: (21428) {G0,W9,D3,L2,V2,M2} { skol2( Y ) = X, alpha2( Y, skol2
% 4.27/4.66 ( Y ), X ) }.
% 4.27/4.66 substitution0:
% 4.27/4.66 X := X
% 4.27/4.66 Y := skol2( X )
% 4.27/4.66 end
% 4.27/4.66 substitution1:
% 4.27/4.66 X := skol5( X, skol1 )
% 4.27/4.66 Y := X
% 4.27/4.66 end
% 4.27/4.66
% 4.27/4.66 eqswap: (21430) {G1,W6,D3,L1,V1,M1} { skol5( X, skol1 ) = skol2( X ) }.
% 4.27/4.66 parent0[0]: (21429) {G1,W6,D3,L1,V1,M1} { skol2( X ) = skol5( X, skol1 )
% 4.27/4.66 }.
% 4.27/4.66 substitution0:
% 4.27/4.66 X := X
% 4.27/4.66 end
% 4.27/4.66
% 4.27/4.66 subsumption: (1686) {G8,W6,D3,L1,V1,M1} R(1669,6) { skol5( X, skol1 ) ==>
% 4.27/4.66 skol2( X ) }.
% 4.27/4.66 parent0: (21430) {G1,W6,D3,L1,V1,M1} { skol5( X, skol1 ) = skol2( X ) }.
% 4.27/4.66 substitution0:
% 4.27/4.66 X := X
% 4.27/4.66 end
% 4.27/4.66 permutation0:
% 4.27/4.66 0 ==> 0
% 4.27/4.66 end
% 4.27/4.66
% 4.27/4.66 eqswap: (21431) {G2,W7,D3,L1,V2,M1} { skol20( X, Y ) ==> skol4( X, Y ) }.
% 4.27/4.66 parent0[0]: (1613) {G2,W7,D3,L1,V2,M1} R(395,16) { skol4( X, Y ) ==> skol20
% 4.27/4.66 ( X, Y ) }.
% 4.27/4.66 substitution0:
% 4.27/4.66 X := X
% 4.27/4.66 Y := Y
% 4.27/4.66 end
% 4.27/4.66
% 4.27/4.66 paramod: (21433) {G3,W5,D3,L1,V1,M1} { skol20( X, skol1 ) ==> skol1 }.
% 4.27/4.66 parent0[0]: (396) {G5,W5,D3,L1,V1,M1} R(393,16) { skol4( X, skol1 ) ==>
% 4.27/4.66 skol1 }.
% 4.27/4.66 parent1[0; 4]: (21431) {G2,W7,D3,L1,V2,M1} { skol20( X, Y ) ==> skol4( X,
% 4.27/4.66 Y ) }.
% 4.27/4.66 substitution0:
% 4.27/4.66 X := X
% 4.27/4.66 end
% 4.27/4.66 substitution1:
% 4.27/4.66 X := X
% 4.27/4.66 Y := skol1
% 4.27/4.66 end
% 4.27/4.66
% 4.27/4.66 subsumption: (1745) {G6,W5,D3,L1,V1,M1} P(1613,396) { skol20( X, skol1 )
% 4.27/4.66 ==> skol1 }.
% 4.27/4.66 parent0: (21433) {G3,W5,D3,L1,V1,M1} { skol20( X, skol1 ) ==> skol1 }.
% 4.27/4.66 substitution0:
% 4.27/4.66 X := X
% 4.27/4.66 end
% 4.27/4.66 permutation0:
% 4.27/4.66 0 ==> 0
% 4.27/4.66 end
% 4.27/4.66
% 4.27/4.66 paramod: (21436) {G1,W6,D3,L1,V1,M1} { r3( skol1, X, skol6( X, skol1 ) )
% 4.27/4.66 }.
% 4.27/4.66 parent0[0]: (1745) {G6,W5,D3,L1,V1,M1} P(1613,396) { skol20( X, skol1 ) ==>
% 4.27/4.66 skol1 }.
% 4.27/4.66 parent1[0; 1]: (28) {G0,W8,D3,L1,V2,M1} I { r3( skol20( X, Y ), X, skol6( X
% 4.27/4.66 , Y ) ) }.
% 4.27/4.66 substitution0:
% 4.27/4.66 X := X
% 4.27/4.66 end
% 4.27/4.66 substitution1:
% 4.27/4.66 X := X
% 4.27/4.66 Y := skol1
% 4.27/4.66 end
% 4.27/4.66
% 4.27/4.66 subsumption: (1747) {G7,W6,D3,L1,V1,M1} P(1745,28) { r3( skol1, X, skol6( X
% 4.27/4.66 , skol1 ) ) }.
% 4.27/4.66 parent0: (21436) {G1,W6,D3,L1,V1,M1} { r3( skol1, X, skol6( X, skol1 ) )
% 4.27/4.66 }.
% 4.27/4.66 substitution0:
% 4.27/4.66 X := X
% 4.27/4.66 end
% 4.27/4.66 permutation0:
% 4.27/4.66 0 ==> 0
% 4.27/4.66 end
% 4.27/4.66
% 4.27/4.66 resolution: (21437) {G1,W7,D3,L1,V2,M1} { ! alpha3( skol1, X, Y, skol6( X
% 4.27/4.66 , skol1 ) ) }.
% 4.27/4.66 parent0[1]: (12) {G0,W9,D2,L2,V4,M2} I { ! alpha3( X, Y, Z, T ), ! r3( X, Y
% 4.27/4.66 , T ) }.
% 4.27/4.66 parent1[0]: (1747) {G7,W6,D3,L1,V1,M1} P(1745,28) { r3( skol1, X, skol6( X
% 4.27/4.66 , skol1 ) ) }.
% 4.27/4.66 substitution0:
% 4.27/4.66 X := skol1
% 4.27/4.66 Y := X
% 4.27/4.66 Z := Y
% 4.27/4.66 T := skol6( X, skol1 )
% 4.27/4.66 end
% 4.27/4.66 substitution1:
% 4.27/4.66 X := X
% 4.27/4.66 end
% 4.27/4.66
% 4.27/4.66 subsumption: (1768) {G8,W7,D3,L1,V2,M1} R(1747,12) { ! alpha3( skol1, X, Y
% 4.27/4.66 , skol6( X, skol1 ) ) }.
% 4.27/4.66 parent0: (21437) {G1,W7,D3,L1,V2,M1} { ! alpha3( skol1, X, Y, skol6( X,
% 4.27/4.66 skol1 ) ) }.
% 4.27/4.66 substitution0:
% 4.27/4.66 X := X
% 4.27/4.66 Y := Y
% 4.27/4.66 end
% 4.27/4.66 permutation0:
% 4.27/4.66 0 ==> 0
% 4.27/4.66 end
% 4.27/4.66
% 4.27/4.66 eqswap: (21438) {G0,W12,D3,L2,V3,M2} { skol3( Y, Z ) = X, alpha3( Y, Z,
% 4.27/4.66 skol3( Y, Z ), X ) }.
% 4.27/4.66 parent0[1]: (11) {G0,W12,D3,L2,V3,M2} I { alpha3( X, Y, skol3( X, Y ), Z )
% 4.27/4.66 , Z = skol3( X, Y ) }.
% 4.27/4.66 substitution0:
% 4.27/4.66 X := Y
% 4.27/4.66 Y := Z
% 4.27/4.66 Z := X
% 4.27/4.66 end
% 4.27/4.66
% 4.27/4.66 resolution: (21439) {G1,W7,D3,L1,V1,M1} { skol3( skol1, X ) = skol6( X,
% 4.27/4.66 skol1 ) }.
% 4.27/4.66 parent0[0]: (1768) {G8,W7,D3,L1,V2,M1} R(1747,12) { ! alpha3( skol1, X, Y,
% 4.27/4.66 skol6( X, skol1 ) ) }.
% 4.27/4.66 parent1[1]: (21438) {G0,W12,D3,L2,V3,M2} { skol3( Y, Z ) = X, alpha3( Y, Z
% 4.27/4.66 , skol3( Y, Z ), X ) }.
% 4.27/4.66 substitution0:
% 4.27/4.66 X := X
% 4.27/4.66 Y := skol3( skol1, X )
% 4.27/4.66 end
% 4.27/4.66 substitution1:
% 4.27/4.66 X := skol6( X, skol1 )
% 4.27/4.66 Y := skol1
% 4.27/4.66 Z := X
% 4.27/4.66 end
% 4.27/4.66
% 4.27/4.66 eqswap: (21440) {G1,W7,D3,L1,V1,M1} { skol6( X, skol1 ) = skol3( skol1, X
% 4.27/4.66 ) }.
% 4.27/4.66 parent0[0]: (21439) {G1,W7,D3,L1,V1,M1} { skol3( skol1, X ) = skol6( X,
% 4.27/4.66 skol1 ) }.
% 4.27/4.66 substitution0:
% 4.27/4.66 X := X
% 4.27/4.66 end
% 4.27/4.66
% 4.27/4.66 subsumption: (1811) {G9,W7,D3,L1,V1,M1} R(1768,11) { skol6( X, skol1 ) ==>
% 4.27/4.66 skol3( skol1, X ) }.
% 4.27/4.66 parent0: (21440) {G1,W7,D3,L1,V1,M1} { skol6( X, skol1 ) = skol3( skol1, X
% 4.27/4.66 ) }.
% 4.27/4.66 substitution0:
% 4.27/4.66 X := X
% 4.27/4.66 end
% 4.27/4.66 permutation0:
% 4.27/4.66 0 ==> 0
% 4.27/4.66 end
% 4.27/4.66
% 4.27/4.66 paramod: (21442) {G4,W6,D3,L1,V1,M1} { r3( X, skol2( skol1 ), skol2( X ) )
% 4.27/4.66 }.
% 4.27/4.66 parent0[0]: (1686) {G8,W6,D3,L1,V1,M1} R(1669,6) { skol5( X, skol1 ) ==>
% 4.27/4.66 skol2( X ) }.
% 4.27/4.66 parent1[0; 4]: (508) {G3,W7,D3,L1,V2,M1} S(21);d(248);d(22) { r3( X, skol2
% 4.27/4.66 ( Y ), skol5( X, Y ) ) }.
% 4.27/4.66 substitution0:
% 4.27/4.66 X := X
% 4.27/4.66 end
% 4.27/4.66 substitution1:
% 4.27/4.66 X := X
% 4.27/4.66 Y := skol1
% 4.27/4.66 end
% 4.27/4.66
% 4.27/4.66 subsumption: (1854) {G9,W6,D3,L1,V1,M1} P(1686,508) { r3( X, skol2( skol1 )
% 4.27/4.66 , skol2( X ) ) }.
% 4.27/4.66 parent0: (21442) {G4,W6,D3,L1,V1,M1} { r3( X, skol2( skol1 ), skol2( X ) )
% 4.27/4.66 }.
% 4.27/4.66 substitution0:
% 4.27/4.66 X := X
% 4.27/4.66 end
% 4.27/4.66 permutation0:
% 4.27/4.66 0 ==> 0
% 4.27/4.66 end
% 4.27/4.66
% 4.27/4.66 paramod: (21444) {G4,W7,D3,L1,V1,M1} { r4( X, skol2( skol1 ), skol3( skol1
% 4.27/4.66 , X ) ) }.
% 4.27/4.66 parent0[0]: (1811) {G9,W7,D3,L1,V1,M1} R(1768,11) { skol6( X, skol1 ) ==>
% 4.27/4.66 skol3( skol1, X ) }.
% 4.27/4.66 parent1[0; 4]: (572) {G3,W7,D3,L1,V2,M1} S(26);d(249);d(27) { r4( X, skol2
% 4.27/4.66 ( Y ), skol6( X, Y ) ) }.
% 4.27/4.66 substitution0:
% 4.27/4.66 X := X
% 4.27/4.66 end
% 4.27/4.66 substitution1:
% 4.27/4.66 X := X
% 4.27/4.66 Y := skol1
% 4.27/4.66 end
% 4.27/4.66
% 4.27/4.66 subsumption: (1971) {G10,W7,D3,L1,V1,M1} P(1811,572) { r4( X, skol2( skol1
% 4.27/4.66 ), skol3( skol1, X ) ) }.
% 4.27/4.66 parent0: (21444) {G4,W7,D3,L1,V1,M1} { r4( X, skol2( skol1 ), skol3( skol1
% 4.27/4.66 , X ) ) }.
% 4.27/4.66 substitution0:
% 4.27/4.66 X := X
% 4.27/4.66 end
% 4.27/4.66 permutation0:
% 4.27/4.66 0 ==> 0
% 4.27/4.66 end
% 4.27/4.66
% 4.27/4.66 eqswap: (21445) {G0,W12,D2,L4,V4,M4} { ! Y = X, ! r2( Z, X ), ! r2( T, Y )
% 4.27/4.66 , Z = T }.
% 4.27/4.66 parent0[1]: (30) {G0,W12,D2,L4,V4,M4} I { ! r2( X, T ), ! T = Z, ! r2( Y, Z
% 4.27/4.66 ), X = Y }.
% 4.27/4.66 substitution0:
% 4.27/4.66 X := Z
% 4.27/4.66 Y := T
% 4.27/4.66 Z := Y
% 4.27/4.66 T := X
% 4.27/4.66 end
% 4.27/4.66
% 4.27/4.66 resolution: (21447) {G1,W13,D3,L4,V4,M4} { ! X = Y, ! r2( Z, Y ), Z =
% 4.27/4.66 skol15( X ), ! r2( T, X ) }.
% 4.27/4.66 parent0[2]: (21445) {G0,W12,D2,L4,V4,M4} { ! Y = X, ! r2( Z, X ), ! r2( T
% 4.27/4.66 , Y ), Z = T }.
% 4.27/4.66 parent1[0]: (1083) {G10,W7,D3,L2,V2,M2} R(885,51) { r2( skol15( X ), X ), !
% 4.27/4.66 r2( Y, X ) }.
% 4.27/4.66 substitution0:
% 4.27/4.66 X := Y
% 4.27/4.66 Y := X
% 4.27/4.66 Z := Z
% 4.27/4.66 T := skol15( X )
% 4.27/4.66 end
% 4.27/4.66 substitution1:
% 4.27/4.66 X := X
% 4.27/4.66 Y := T
% 4.27/4.66 end
% 4.27/4.66
% 4.27/4.66 eqswap: (21449) {G1,W13,D3,L4,V4,M4} { skol15( Y ) = X, ! Y = Z, ! r2( X,
% 4.27/4.66 Z ), ! r2( T, Y ) }.
% 4.27/4.66 parent0[2]: (21447) {G1,W13,D3,L4,V4,M4} { ! X = Y, ! r2( Z, Y ), Z =
% 4.27/4.66 skol15( X ), ! r2( T, X ) }.
% 4.27/4.66 substitution0:
% 4.27/4.66 X := Y
% 4.27/4.66 Y := Z
% 4.27/4.66 Z := X
% 4.27/4.66 T := T
% 4.27/4.66 end
% 4.27/4.66
% 4.27/4.66 subsumption: (2374) {G11,W13,D3,L4,V4,M4} R(1083,30) { ! r2( X, Y ), ! Y =
% 4.27/4.66 Z, ! r2( T, Z ), skol15( Y ) = T }.
% 4.27/4.66 parent0: (21449) {G1,W13,D3,L4,V4,M4} { skol15( Y ) = X, ! Y = Z, ! r2( X
% 4.27/4.66 , Z ), ! r2( T, Y ) }.
% 4.27/4.66 substitution0:
% 4.27/4.66 X := T
% 4.27/4.66 Y := Y
% 4.27/4.66 Z := Z
% 4.27/4.66 T := X
% 4.27/4.66 end
% 4.27/4.66 permutation0:
% 4.27/4.66 0 ==> 3
% 4.27/4.66 1 ==> 1
% 4.27/4.66 2 ==> 2
% 4.27/4.66 3 ==> 0
% 4.27/4.66 end
% 4.27/4.66
% 4.27/4.66 eqswap: (21453) {G11,W13,D3,L4,V4,M4} { Y = skol15( X ), ! r2( Z, X ), ! X
% 4.27/4.66 = T, ! r2( Y, T ) }.
% 4.27/4.66 parent0[3]: (2374) {G11,W13,D3,L4,V4,M4} R(1083,30) { ! r2( X, Y ), ! Y = Z
% 4.27/4.66 , ! r2( T, Z ), skol15( Y ) = T }.
% 4.27/4.66 substitution0:
% 4.27/4.66 X := Z
% 4.27/4.66 Y := X
% 4.27/4.66 Z := T
% 4.27/4.66 T := Y
% 4.27/4.66 end
% 4.27/4.66
% 4.27/4.66 eqswap: (21454) {G11,W13,D3,L4,V4,M4} { ! Y = X, Z = skol15( X ), ! r2( T
% 4.27/4.66 , X ), ! r2( Z, Y ) }.
% 4.27/4.66 parent0[2]: (21453) {G11,W13,D3,L4,V4,M4} { Y = skol15( X ), ! r2( Z, X )
% 4.27/4.66 , ! X = T, ! r2( Y, T ) }.
% 4.27/4.66 substitution0:
% 4.27/4.66 X := X
% 4.27/4.66 Y := Z
% 4.27/4.66 Z := T
% 4.27/4.66 T := Y
% 4.27/4.66 end
% 4.27/4.66
% 4.27/4.66 factor: (21456) {G11,W10,D3,L3,V2,M3} { ! X = X, Y = skol15( X ), ! r2( Y
% 4.27/4.66 , X ) }.
% 4.27/4.66 parent0[2, 3]: (21454) {G11,W13,D3,L4,V4,M4} { ! Y = X, Z = skol15( X ), !
% 4.27/4.66 r2( T, X ), ! r2( Z, Y ) }.
% 4.27/4.66 substitution0:
% 4.27/4.66 X := X
% 4.27/4.66 Y := X
% 4.27/4.66 Z := Y
% 4.27/4.66 T := Y
% 4.27/4.66 end
% 4.27/4.66
% 4.27/4.66 eqrefl: (21457) {G0,W7,D3,L2,V2,M2} { Y = skol15( X ), ! r2( Y, X ) }.
% 4.27/4.66 parent0[0]: (21456) {G11,W10,D3,L3,V2,M3} { ! X = X, Y = skol15( X ), ! r2
% 4.27/4.66 ( Y, X ) }.
% 4.27/4.66 substitution0:
% 4.27/4.66 X := X
% 4.27/4.66 Y := Y
% 4.27/4.66 end
% 4.27/4.66
% 4.27/4.66 eqswap: (21458) {G0,W7,D3,L2,V2,M2} { skol15( Y ) = X, ! r2( X, Y ) }.
% 4.27/4.66 parent0[0]: (21457) {G0,W7,D3,L2,V2,M2} { Y = skol15( X ), ! r2( Y, X )
% 4.27/4.66 }.
% 4.27/4.66 substitution0:
% 4.27/4.66 X := Y
% 4.27/4.66 Y := X
% 4.27/4.66 end
% 4.27/4.66
% 4.27/4.66 subsumption: (2403) {G12,W7,D3,L2,V2,M2} F(2374);q { ! r2( X, Y ), skol15(
% 4.27/4.66 Y ) = X }.
% 4.27/4.66 parent0: (21458) {G0,W7,D3,L2,V2,M2} { skol15( Y ) = X, ! r2( X, Y ) }.
% 4.27/4.66 substitution0:
% 4.27/4.66 X := X
% 4.27/4.66 Y := Y
% 4.27/4.66 end
% 4.27/4.66 permutation0:
% 4.27/4.66 0 ==> 1
% 4.27/4.66 1 ==> 0
% 4.27/4.66 end
% 4.27/4.66
% 4.27/4.66 eqswap: (21459) {G12,W7,D3,L2,V2,M2} { Y = skol15( X ), ! r2( Y, X ) }.
% 4.27/4.66 parent0[1]: (2403) {G12,W7,D3,L2,V2,M2} F(2374);q { ! r2( X, Y ), skol15( Y
% 4.27/4.66 ) = X }.
% 4.27/4.66 substitution0:
% 4.27/4.66 X := Y
% 4.27/4.66 Y := X
% 4.27/4.66 end
% 4.27/4.66
% 4.27/4.66 resolution: (21460) {G3,W5,D4,L1,V1,M1} { X = skol15( skol2( X ) ) }.
% 4.27/4.66 parent0[1]: (21459) {G12,W7,D3,L2,V2,M2} { Y = skol15( X ), ! r2( Y, X )
% 4.27/4.66 }.
% 4.27/4.66 parent1[0]: (82) {G2,W4,D3,L1,V1,M1} R(5,46) { r2( X, skol2( X ) ) }.
% 4.27/4.66 substitution0:
% 4.27/4.66 X := skol2( X )
% 4.27/4.66 Y := X
% 4.27/4.66 end
% 4.27/4.66 substitution1:
% 4.27/4.66 X := X
% 4.27/4.66 end
% 4.27/4.66
% 4.27/4.66 eqswap: (21461) {G3,W5,D4,L1,V1,M1} { skol15( skol2( X ) ) = X }.
% 4.27/4.66 parent0[0]: (21460) {G3,W5,D4,L1,V1,M1} { X = skol15( skol2( X ) ) }.
% 4.27/4.66 substitution0:
% 4.27/4.66 X := X
% 4.27/4.66 end
% 4.27/4.66
% 4.27/4.66 subsumption: (2432) {G13,W5,D4,L1,V1,M1} R(2403,82) { skol15( skol2( X ) )
% 4.27/4.66 ==> X }.
% 4.27/4.66 parent0: (21461) {G3,W5,D4,L1,V1,M1} { skol15( skol2( X ) ) = X }.
% 4.27/4.66 substitution0:
% 4.27/4.66 X := X
% 4.27/4.66 end
% 4.27/4.66 permutation0:
% 4.27/4.66 0 ==> 0
% 4.27/4.66 end
% 4.27/4.66
% 4.27/4.66 eqswap: (21462) {G12,W7,D3,L2,V2,M2} { Y = skol15( X ), ! r2( Y, X ) }.
% 4.27/4.66 parent0[1]: (2403) {G12,W7,D3,L2,V2,M2} F(2374);q { ! r2( X, Y ), skol15( Y
% 4.27/4.66 ) = X }.
% 4.27/4.66 substitution0:
% 4.27/4.66 X := Y
% 4.27/4.66 Y := X
% 4.27/4.66 end
% 4.27/4.66
% 4.27/4.66 eqswap: (21463) {G1,W5,D2,L2,V1,M2} { ! skol1 = X, r1( X ) }.
% 4.27/4.66 parent0[0]: (69) {G1,W5,D2,L2,V1,M2} R(3,0) { ! X = skol1, r1( X ) }.
% 4.27/4.66 substitution0:
% 4.27/4.66 X := X
% 4.27/4.66 end
% 4.27/4.66
% 4.27/4.66 resolution: (21464) {G2,W6,D3,L2,V1,M2} { r1( skol15( X ) ), ! r2( skol1,
% 4.27/4.66 X ) }.
% 4.27/4.66 parent0[0]: (21463) {G1,W5,D2,L2,V1,M2} { ! skol1 = X, r1( X ) }.
% 4.27/4.66 parent1[0]: (21462) {G12,W7,D3,L2,V2,M2} { Y = skol15( X ), ! r2( Y, X )
% 4.27/4.66 }.
% 4.27/4.66 substitution0:
% 4.27/4.66 X := skol15( X )
% 4.27/4.66 end
% 4.27/4.66 substitution1:
% 4.27/4.66 X := X
% 4.27/4.66 Y := skol1
% 4.27/4.66 end
% 4.27/4.66
% 4.27/4.66 subsumption: (2435) {G13,W6,D3,L2,V1,M2} R(2403,69) { ! r2( skol1, X ), r1
% 4.27/4.66 ( skol15( X ) ) }.
% 4.27/4.66 parent0: (21464) {G2,W6,D3,L2,V1,M2} { r1( skol15( X ) ), ! r2( skol1, X )
% 4.27/4.66 }.
% 4.27/4.66 substitution0:
% 4.27/4.66 X := X
% 4.27/4.66 end
% 4.27/4.66 permutation0:
% 4.27/4.66 0 ==> 1
% 4.27/4.66 1 ==> 0
% 4.27/4.66 end
% 4.27/4.66
% 4.27/4.66 paramod: (21466) {G14,W6,D3,L2,V1,M2} { r1( X ), ! r2( skol1, skol2( X ) )
% 4.27/4.66 }.
% 4.27/4.66 parent0[0]: (2432) {G13,W5,D4,L1,V1,M1} R(2403,82) { skol15( skol2( X ) )
% 4.27/4.66 ==> X }.
% 4.27/4.66 parent1[1; 1]: (2435) {G13,W6,D3,L2,V1,M2} R(2403,69) { ! r2( skol1, X ),
% 4.27/4.66 r1( skol15( X ) ) }.
% 4.27/4.66 substitution0:
% 4.27/4.66 X := X
% 4.27/4.66 end
% 4.27/4.66 substitution1:
% 4.27/4.66 X := skol2( X )
% 4.27/4.66 end
% 4.27/4.66
% 4.27/4.66 subsumption: (2776) {G14,W6,D3,L2,V1,M2} P(2432,2435) { ! r2( skol1, skol2
% 4.27/4.66 ( X ) ), r1( X ) }.
% 4.27/4.66 parent0: (21466) {G14,W6,D3,L2,V1,M2} { r1( X ), ! r2( skol1, skol2( X ) )
% 4.27/4.66 }.
% 4.27/4.66 substitution0:
% 4.27/4.66 X := X
% 4.27/4.66 end
% 4.27/4.66 permutation0:
% 4.27/4.66 0 ==> 1
% 4.27/4.66 1 ==> 0
% 4.27/4.66 end
% 4.27/4.66
% 4.27/4.66 resolution: (21467) {G2,W14,D3,L4,V5,M4} { ! r4( X, Y, Z ), ! r2( T, Z ),
% 4.27/4.66 ! r2( U, T ), ! r2( skol1, skol2( U ) ) }.
% 4.27/4.66 parent0[2]: (52) {G1,W12,D2,L4,V5,M4} Q(44) { ! r4( X, Y, Z ), ! r2( T, Z )
% 4.27/4.66 , ! r1( U ), ! r2( U, T ) }.
% 4.27/4.66 parent1[1]: (2776) {G14,W6,D3,L2,V1,M2} P(2432,2435) { ! r2( skol1, skol2(
% 4.27/4.66 X ) ), r1( X ) }.
% 4.27/4.66 substitution0:
% 4.27/4.66 X := X
% 4.27/4.66 Y := Y
% 4.27/4.66 Z := Z
% 4.27/4.66 T := T
% 4.27/4.66 U := U
% 4.27/4.66 end
% 4.27/4.66 substitution1:
% 4.27/4.66 X := U
% 4.27/4.66 end
% 4.27/4.66
% 4.27/4.66 subsumption: (2819) {G15,W14,D3,L4,V5,M4} R(2776,52) { ! r2( skol1, skol2(
% 4.27/4.66 X ) ), ! r4( Y, Z, T ), ! r2( U, T ), ! r2( X, U ) }.
% 4.27/4.66 parent0: (21467) {G2,W14,D3,L4,V5,M4} { ! r4( X, Y, Z ), ! r2( T, Z ), !
% 4.27/4.66 r2( U, T ), ! r2( skol1, skol2( U ) ) }.
% 4.27/4.66 substitution0:
% 4.27/4.66 X := Y
% 4.27/4.66 Y := Z
% 4.27/4.66 Z := T
% 4.27/4.66 T := U
% 4.27/4.66 U := X
% 4.27/4.66 end
% 4.27/4.66 permutation0:
% 4.27/4.66 0 ==> 1
% 4.27/4.66 1 ==> 2
% 4.27/4.66 2 ==> 3
% 4.27/4.66 3 ==> 0
% 4.27/4.66 end
% 4.27/4.66
% 4.27/4.66 factor: (21472) {G15,W12,D3,L3,V3,M3} { ! r2( skol1, skol2( skol1 ) ), !
% 4.27/4.66 r4( X, Y, Z ), ! r2( skol2( skol1 ), Z ) }.
% 4.27/4.66 parent0[0, 3]: (2819) {G15,W14,D3,L4,V5,M4} R(2776,52) { ! r2( skol1, skol2
% 4.27/4.66 ( X ) ), ! r4( Y, Z, T ), ! r2( U, T ), ! r2( X, U ) }.
% 4.27/4.66 substitution0:
% 4.27/4.66 X := skol1
% 4.27/4.66 Y := X
% 4.27/4.66 Z := Y
% 4.27/4.66 T := Z
% 4.27/4.66 U := skol2( skol1 )
% 4.27/4.66 end
% 4.27/4.66
% 4.27/4.66 resolution: (21474) {G3,W8,D3,L2,V3,M2} { ! r4( X, Y, Z ), ! r2( skol2(
% 4.27/4.66 skol1 ), Z ) }.
% 4.27/4.66 parent0[0]: (21472) {G15,W12,D3,L3,V3,M3} { ! r2( skol1, skol2( skol1 ) )
% 4.27/4.66 , ! r4( X, Y, Z ), ! r2( skol2( skol1 ), Z ) }.
% 4.27/4.66 parent1[0]: (82) {G2,W4,D3,L1,V1,M1} R(5,46) { r2( X, skol2( X ) ) }.
% 4.27/4.66 substitution0:
% 4.27/4.66 X := X
% 4.27/4.66 Y := Y
% 4.27/4.66 Z := Z
% 4.27/4.66 end
% 4.27/4.66 substitution1:
% 4.27/4.66 X := skol1
% 4.27/4.66 end
% 4.27/4.66
% 4.27/4.66 subsumption: (2874) {G16,W8,D3,L2,V3,M2} F(2819);r(82) { ! r4( X, Y, Z ), !
% 4.27/4.66 r2( skol2( skol1 ), Z ) }.
% 4.27/4.66 parent0: (21474) {G3,W8,D3,L2,V3,M2} { ! r4( X, Y, Z ), ! r2( skol2( skol1
% 4.27/4.66 ), Z ) }.
% 4.27/4.66 substitution0:
% 4.27/4.66 X := X
% 4.27/4.66 Y := Y
% 4.27/4.66 Z := Z
% 4.27/4.66 end
% 4.27/4.66 permutation0:
% 4.27/4.66 0 ==> 0
% 4.27/4.66 1 ==> 1
% 4.27/4.66 end
% 4.27/4.66
% 4.27/4.66 resolution: (21475) {G11,W6,D3,L1,V1,M1} { ! r2( skol2( skol1 ), skol3(
% 4.27/4.66 skol1, X ) ) }.
% 4.27/4.66 parent0[0]: (2874) {G16,W8,D3,L2,V3,M2} F(2819);r(82) { ! r4( X, Y, Z ), !
% 4.27/4.66 r2( skol2( skol1 ), Z ) }.
% 4.27/4.66 parent1[0]: (1971) {G10,W7,D3,L1,V1,M1} P(1811,572) { r4( X, skol2( skol1 )
% 4.27/4.66 , skol3( skol1, X ) ) }.
% 4.27/4.66 substitution0:
% 4.27/4.66 X := X
% 4.27/4.66 Y := skol2( skol1 )
% 4.27/4.66 Z := skol3( skol1, X )
% 4.27/4.66 end
% 4.27/4.66 substitution1:
% 4.27/4.66 X := X
% 4.27/4.66 end
% 4.27/4.66
% 4.27/4.66 subsumption: (17891) {G17,W6,D3,L1,V1,M1} R(2874,1971) { ! r2( skol2( skol1
% 4.27/4.66 ), skol3( skol1, X ) ) }.
% 4.27/4.66 parent0: (21475) {G11,W6,D3,L1,V1,M1} { ! r2( skol2( skol1 ), skol3( skol1
% 4.27/4.66 , X ) ) }.
% 4.27/4.66 substitution0:
% 4.27/4.66 X := X
% 4.27/4.66 end
% 4.27/4.66 permutation0:
% 4.27/4.66 0 ==> 0
% 4.27/4.66 end
% 4.27/4.66
% 4.27/4.66 eqswap: (21476) {G1,W9,D3,L2,V3,M2} { skol3( Y, Z ) = X, ! r3( Y, Z, X )
% 4.27/4.66 }.
% 4.27/4.66 parent0[1]: (237) {G1,W9,D3,L2,V3,M2} R(12,11) { ! r3( X, Y, Z ), Z = skol3
% 4.27/4.66 ( X, Y ) }.
% 4.27/4.66 substitution0:
% 4.27/4.66 X := Y
% 4.27/4.66 Y := Z
% 4.27/4.66 Z := X
% 4.27/4.66 end
% 4.27/4.66
% 4.27/4.66 paramod: (21477) {G2,W8,D3,L2,V2,M2} { ! r2( skol2( skol1 ), Y ), ! r3(
% 4.27/4.66 skol1, X, Y ) }.
% 4.27/4.66 parent0[0]: (21476) {G1,W9,D3,L2,V3,M2} { skol3( Y, Z ) = X, ! r3( Y, Z, X
% 4.27/4.66 ) }.
% 4.27/4.66 parent1[0; 4]: (17891) {G17,W6,D3,L1,V1,M1} R(2874,1971) { ! r2( skol2(
% 4.27/4.66 skol1 ), skol3( skol1, X ) ) }.
% 4.27/4.66 substitution0:
% 4.27/4.66 X := Y
% 4.27/4.66 Y := skol1
% 4.27/4.66 Z := X
% 4.27/4.66 end
% 4.27/4.66 substitution1:
% 4.27/4.66 X := X
% 4.27/4.66 end
% 4.27/4.66
% 4.27/4.66 subsumption: (19493) {G18,W8,D3,L2,V2,M2} P(237,17891) { ! r2( skol2( skol1
% 4.27/4.66 ), Y ), ! r3( skol1, X, Y ) }.
% 4.27/4.66 parent0: (21477) {G2,W8,D3,L2,V2,M2} { ! r2( skol2( skol1 ), Y ), ! r3(
% 4.27/4.66 skol1, X, Y ) }.
% 4.27/4.66 substitution0:
% 4.27/4.66 X := X
% 4.27/4.66 Y := Y
% 4.27/4.66 end
% 4.27/4.66 permutation0:
% 4.27/4.66 0 ==> 0
% 4.27/4.66 1 ==> 1
% 4.27/4.66 end
% 4.27/4.66
% 4.27/4.66 resolution: (21478) {G4,W6,D3,L1,V1,M1} { ! r2( skol2( skol1 ), skol5(
% 4.27/4.66 skol1, X ) ) }.
% 4.27/4.66 parent0[1]: (19493) {G18,W8,D3,L2,V2,M2} P(237,17891) { ! r2( skol2( skol1
% 4.27/4.66 ), Y ), ! r3( skol1, X, Y ) }.
% 4.27/4.66 parent1[0]: (508) {G3,W7,D3,L1,V2,M1} S(21);d(248);d(22) { r3( X, skol2( Y
% 4.27/4.66 ), skol5( X, Y ) ) }.
% 4.27/4.66 substitution0:
% 4.27/4.66 X := skol2( X )
% 4.27/4.66 Y := skol5( skol1, X )
% 4.27/4.66 end
% 4.27/4.66 substitution1:
% 4.27/4.66 X := skol1
% 4.27/4.66 Y := X
% 4.27/4.66 end
% 4.27/4.66
% 4.27/4.66 subsumption: (20102) {G19,W6,D3,L1,V1,M1} R(19493,508) { ! r2( skol2( skol1
% 4.27/4.66 ), skol5( skol1, X ) ) }.
% 4.27/4.66 parent0: (21478) {G4,W6,D3,L1,V1,M1} { ! r2( skol2( skol1 ), skol5( skol1
% 4.27/4.66 , X ) ) }.
% 4.27/4.66 substitution0:
% 4.27/4.66 X := X
% 4.27/4.66 end
% 4.27/4.66 permutation0:
% 4.27/4.66 0 ==> 0
% 4.27/4.66 end
% 4.27/4.66
% 4.27/4.66 eqswap: (21479) {G1,W7,D3,L2,V2,M2} { skol2( Y ) = X, ! r2( Y, X ) }.
% 4.27/4.66 parent0[1]: (114) {G1,W7,D3,L2,V2,M2} R(7,6) { ! r2( X, Y ), Y = skol2( X )
% 4.27/4.66 }.
% 4.27/4.66 substitution0:
% 4.27/4.66 X := Y
% 4.27/4.66 Y := X
% 4.27/4.66 end
% 4.27/4.66
% 4.27/4.66 paramod: (21480) {G2,W8,D3,L2,V2,M2} { ! r2( Y, skol5( skol1, X ) ), ! r2
% 4.27/4.66 ( skol1, Y ) }.
% 4.27/4.66 parent0[0]: (21479) {G1,W7,D3,L2,V2,M2} { skol2( Y ) = X, ! r2( Y, X ) }.
% 4.27/4.66 parent1[0; 2]: (20102) {G19,W6,D3,L1,V1,M1} R(19493,508) { ! r2( skol2(
% 4.27/4.66 skol1 ), skol5( skol1, X ) ) }.
% 4.27/4.66 substitution0:
% 4.27/4.66 X := Y
% 4.27/4.66 Y := skol1
% 4.27/4.66 end
% 4.27/4.66 substitution1:
% 4.27/4.66 X := X
% 4.27/4.66 end
% 4.27/4.66
% 4.27/4.66 subsumption: (20198) {G20,W8,D3,L2,V2,M2} P(114,20102) { ! r2( X, skol5(
% 4.27/4.66 skol1, Y ) ), ! r2( skol1, X ) }.
% 4.27/4.66 parent0: (21480) {G2,W8,D3,L2,V2,M2} { ! r2( Y, skol5( skol1, X ) ), ! r2
% 4.27/4.66 ( skol1, Y ) }.
% 4.27/4.66 substitution0:
% 4.27/4.66 X := Y
% 4.27/4.66 Y := X
% 4.27/4.66 end
% 4.27/4.66 permutation0:
% 4.27/4.66 0 ==> 0
% 4.27/4.66 1 ==> 1
% 4.27/4.66 end
% 4.27/4.66
% 4.27/4.66 resolution: (21481) {G4,W5,D3,L1,V1,M1} { ! r2( skol1, skol3( skol1, X ) )
% 4.27/4.66 }.
% 4.27/4.66 parent0[0]: (20198) {G20,W8,D3,L2,V2,M2} P(114,20102) { ! r2( X, skol5(
% 4.27/4.66 skol1, Y ) ), ! r2( skol1, X ) }.
% 4.27/4.66 parent1[0]: (1615) {G3,W7,D3,L1,V2,M1} P(1614,23) { r2( skol3( X, Y ),
% 4.27/4.66 skol5( X, Y ) ) }.
% 4.27/4.66 substitution0:
% 4.27/4.66 X := skol3( skol1, X )
% 4.27/4.66 Y := X
% 4.27/4.66 end
% 4.27/4.66 substitution1:
% 4.27/4.66 X := skol1
% 4.27/4.66 Y := X
% 4.27/4.66 end
% 4.27/4.66
% 4.27/4.66 subsumption: (20545) {G21,W5,D3,L1,V1,M1} R(20198,1615) { ! r2( skol1,
% 4.27/4.66 skol3( skol1, X ) ) }.
% 4.27/4.66 parent0: (21481) {G4,W5,D3,L1,V1,M1} { ! r2( skol1, skol3( skol1, X ) )
% 4.27/4.66 }.
% 4.27/4.66 substitution0:
% 4.27/4.66 X := X
% 4.27/4.66 end
% 4.27/4.66 permutation0:
% 4.27/4.66 0 ==> 0
% 4.27/4.66 end
% 4.27/4.66
% 4.27/4.66 eqswap: (21482) {G1,W7,D3,L2,V2,M2} { ! skol2( Y ) = X, r2( Y, X ) }.
% 4.27/4.66 parent0[0]: (126) {G1,W7,D3,L2,V2,M2} R(8,5) { ! X = skol2( Y ), r2( Y, X )
% 4.27/4.66 }.
% 4.27/4.66 substitution0:
% 4.27/4.66 X := X
% 4.27/4.66 Y := Y
% 4.27/4.66 end
% 4.27/4.66
% 4.27/4.66 resolution: (21483) {G2,W6,D3,L1,V1,M1} { ! skol2( skol1 ) = skol3( skol1
% 4.27/4.66 , X ) }.
% 4.27/4.66 parent0[0]: (20545) {G21,W5,D3,L1,V1,M1} R(20198,1615) { ! r2( skol1, skol3
% 4.27/4.66 ( skol1, X ) ) }.
% 4.27/4.66 parent1[1]: (21482) {G1,W7,D3,L2,V2,M2} { ! skol2( Y ) = X, r2( Y, X ) }.
% 4.27/4.66 substitution0:
% 4.27/4.66 X := X
% 4.27/4.66 end
% 4.27/4.66 substitution1:
% 4.27/4.66 X := skol3( skol1, X )
% 4.27/4.66 Y := skol1
% 4.27/4.66 end
% 4.27/4.66
% 4.27/4.66 eqswap: (21484) {G2,W6,D3,L1,V1,M1} { ! skol3( skol1, X ) = skol2( skol1 )
% 4.27/4.66 }.
% 4.27/4.66 parent0[0]: (21483) {G2,W6,D3,L1,V1,M1} { ! skol2( skol1 ) = skol3( skol1
% 4.27/4.66 , X ) }.
% 4.27/4.66 substitution0:
% 4.27/4.66 X := X
% 4.27/4.66 end
% 4.27/4.66
% 4.27/4.66 subsumption: (20615) {G22,W6,D3,L1,V1,M1} R(20545,126) { ! skol3( skol1, X
% 4.27/4.66 ) ==> skol2( skol1 ) }.
% 4.27/4.66 parent0: (21484) {G2,W6,D3,L1,V1,M1} { ! skol3( skol1, X ) = skol2( skol1
% 4.27/4.66 ) }.
% 4.27/4.66 substitution0:
% 4.27/4.66 X := X
% 4.27/4.66 end
% 4.27/4.66 permutation0:
% 4.27/4.66 0 ==> 0
% 4.27/4.66 end
% 4.27/4.66
% 4.27/4.66 eqswap: (21485) {G1,W9,D3,L2,V3,M2} { skol3( Y, Z ) = X, ! r3( Y, Z, X )
% 4.27/4.66 }.
% 4.27/4.66 parent0[1]: (237) {G1,W9,D3,L2,V3,M2} R(12,11) { ! r3( X, Y, Z ), Z = skol3
% 4.27/4.66 ( X, Y ) }.
% 4.27/4.66 substitution0:
% 4.27/4.66 X := Y
% 4.27/4.66 Y := Z
% 4.27/4.66 Z := X
% 4.27/4.66 end
% 4.27/4.66
% 4.27/4.66 eqswap: (21486) {G22,W6,D3,L1,V1,M1} { ! skol2( skol1 ) ==> skol3( skol1,
% 4.27/4.66 X ) }.
% 4.27/4.66 parent0[0]: (20615) {G22,W6,D3,L1,V1,M1} R(20545,126) { ! skol3( skol1, X )
% 4.27/4.66 ==> skol2( skol1 ) }.
% 4.27/4.66 substitution0:
% 4.27/4.66 X := X
% 4.27/4.66 end
% 4.27/4.66
% 4.27/4.66 paramod: (21487) {G2,W8,D3,L2,V2,M2} { ! skol2( skol1 ) ==> Y, ! r3( skol1
% 4.27/4.66 , X, Y ) }.
% 4.27/4.66 parent0[0]: (21485) {G1,W9,D3,L2,V3,M2} { skol3( Y, Z ) = X, ! r3( Y, Z, X
% 4.27/4.66 ) }.
% 4.27/4.66 parent1[0; 4]: (21486) {G22,W6,D3,L1,V1,M1} { ! skol2( skol1 ) ==> skol3(
% 4.27/4.66 skol1, X ) }.
% 4.27/4.66 substitution0:
% 4.27/4.66 X := Y
% 4.27/4.66 Y := skol1
% 4.27/4.66 Z := X
% 4.27/4.66 end
% 4.27/4.66 substitution1:
% 4.27/4.66 X := X
% 4.27/4.66 end
% 4.27/4.66
% 4.27/4.66 eqswap: (21488) {G2,W8,D3,L2,V2,M2} { ! X ==> skol2( skol1 ), ! r3( skol1
% 4.27/4.66 , Y, X ) }.
% 4.27/4.66 parent0[0]: (21487) {G2,W8,D3,L2,V2,M2} { ! skol2( skol1 ) ==> Y, ! r3(
% 4.27/4.66 skol1, X, Y ) }.
% 4.27/4.66 substitution0:
% 4.27/4.66 X := Y
% 4.27/4.66 Y := X
% 4.27/4.66 end
% 4.27/4.66
% 4.27/4.66 subsumption: (20691) {G23,W8,D3,L2,V2,M2} P(237,20615) { ! Y = skol2( skol1
% 4.27/4.66 ), ! r3( skol1, X, Y ) }.
% 4.27/4.66 parent0: (21488) {G2,W8,D3,L2,V2,M2} { ! X ==> skol2( skol1 ), ! r3( skol1
% 4.27/4.66 , Y, X ) }.
% 4.27/4.66 substitution0:
% 4.27/4.66 X := Y
% 4.27/4.66 Y := X
% 4.27/4.66 end
% 4.27/4.66 permutation0:
% 4.27/4.66 0 ==> 0
% 4.27/4.66 1 ==> 1
% 4.27/4.66 end
% 4.27/4.66
% 4.27/4.66 eqswap: (21489) {G23,W8,D3,L2,V2,M2} { ! skol2( skol1 ) = X, ! r3( skol1,
% 4.27/4.66 Y, X ) }.
% 4.27/4.66 parent0[0]: (20691) {G23,W8,D3,L2,V2,M2} P(237,20615) { ! Y = skol2( skol1
% 4.27/4.66 ), ! r3( skol1, X, Y ) }.
% 4.27/4.66 substitution0:
% 4.27/4.66 X := Y
% 4.27/4.66 Y := X
% 4.27/4.66 end
% 4.27/4.66
% 4.27/4.66 eqrefl: (21490) {G0,W5,D3,L1,V1,M1} { ! r3( skol1, X, skol2( skol1 ) ) }.
% 4.27/4.66 parent0[0]: (21489) {G23,W8,D3,L2,V2,M2} { ! skol2( skol1 ) = X, ! r3(
% 4.27/4.66 skol1, Y, X ) }.
% 4.27/4.66 substitution0:
% 4.27/4.66 X := skol2( skol1 )
% 4.27/4.66 Y := X
% 4.27/4.66 end
% 4.27/4.66
% 4.27/4.66 subsumption: (20744) {G24,W5,D3,L1,V1,M1} Q(20691) { ! r3( skol1, X, skol2
% 4.27/4.66 ( skol1 ) ) }.
% 4.27/4.66 parent0: (21490) {G0,W5,D3,L1,V1,M1} { ! r3( skol1, X, skol2( skol1 ) )
% 4.27/4.66 }.
% 4.27/4.66 substitution0:
% 4.27/4.66 X := X
% 4.27/4.66 end
% 4.27/4.66 permutation0:
% 4.27/4.66 0 ==> 0
% 4.27/4.66 end
% 4.27/4.66
% 4.27/4.66 resolution: (21491) {G10,W0,D0,L0,V0,M0} { }.
% 4.27/4.66 parent0[0]: (20744) {G24,W5,D3,L1,V1,M1} Q(20691) { ! r3( skol1, X, skol2(
% 4.27/4.66 skol1 ) ) }.
% 4.27/4.66 parent1[0]: (1854) {G9,W6,D3,L1,V1,M1} P(1686,508) { r3( X, skol2( skol1 )
% 4.27/4.66 , skol2( X ) ) }.
% 4.27/4.66 substitution0:
% 4.27/4.66 X := skol2( skol1 )
% 4.27/4.66 end
% 4.27/4.66 substitution1:
% 4.27/4.66 X := skol1
% 4.27/4.66 end
% 4.27/4.66
% 4.27/4.66 subsumption: (20745) {G25,W0,D0,L0,V0,M0} R(20744,1854) { }.
% 4.27/4.66 parent0: (21491) {G10,W0,D0,L0,V0,M0} { }.
% 4.27/4.66 substitution0:
% 4.27/4.66 end
% 4.27/4.66 permutation0:
% 4.27/4.66 end
% 4.27/4.66
% 4.27/4.66 Proof check complete!
% 4.27/4.66
% 4.27/4.66 Memory use:
% 4.27/4.66
% 4.27/4.66 space for terms: 278648
% 4.27/4.66 space for clauses: 799671
% 4.27/4.66
% 4.27/4.66
% 4.27/4.66 clauses generated: 115529
% 4.27/4.66 clauses kept: 20746
% 4.27/4.66 clauses selected: 714
% 4.27/4.66 clauses deleted: 1609
% 4.27/4.66 clauses inuse deleted: 50
% 4.27/4.66
% 4.27/4.66 subsentry: 540780
% 4.27/4.66 literals s-matched: 387110
% 4.27/4.66 literals matched: 355918
% 4.27/4.66 full subsumption: 155521
% 4.27/4.66
% 4.27/4.66 checksum: -357386354
% 4.27/4.66
% 4.27/4.66
% 4.27/4.66 Bliksem ended
%------------------------------------------------------------------------------