TSTP Solution File: NUM464+1 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : NUM464+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n010.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 06:22:32 EDT 2022
% Result : Theorem 3.41s 3.78s
% Output : Refutation 3.41s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : NUM464+1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n010.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 : Tue Jul 5 11:25:47 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.31/1.68 *** allocated 10000 integers for termspace/termends
% 1.31/1.68 *** allocated 10000 integers for clauses
% 1.31/1.68 *** allocated 10000 integers for justifications
% 1.31/1.68 Bliksem 1.12
% 1.31/1.68
% 1.31/1.68
% 1.31/1.68 Automatic Strategy Selection
% 1.31/1.68
% 1.31/1.68
% 1.31/1.68 Clauses:
% 1.31/1.68
% 1.31/1.68 { && }.
% 1.31/1.68 { aNaturalNumber0( sz00 ) }.
% 1.31/1.68 { aNaturalNumber0( sz10 ) }.
% 1.31/1.68 { ! sz10 = sz00 }.
% 1.31/1.68 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), aNaturalNumber0( sdtpldt0
% 1.31/1.68 ( X, Y ) ) }.
% 1.31/1.68 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), aNaturalNumber0( sdtasdt0
% 1.31/1.68 ( X, Y ) ) }.
% 1.31/1.68 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), sdtpldt0( X, Y ) =
% 1.31/1.68 sdtpldt0( Y, X ) }.
% 1.31/1.68 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ),
% 1.31/1.68 sdtpldt0( sdtpldt0( X, Y ), Z ) = sdtpldt0( X, sdtpldt0( Y, Z ) ) }.
% 1.31/1.68 { ! aNaturalNumber0( X ), sdtpldt0( X, sz00 ) = X }.
% 1.31/1.68 { ! aNaturalNumber0( X ), X = sdtpldt0( sz00, X ) }.
% 1.31/1.68 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), sdtasdt0( X, Y ) =
% 1.31/1.68 sdtasdt0( Y, X ) }.
% 1.31/1.68 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ),
% 1.31/1.68 sdtasdt0( sdtasdt0( X, Y ), Z ) = sdtasdt0( X, sdtasdt0( Y, Z ) ) }.
% 1.31/1.68 { ! aNaturalNumber0( X ), sdtasdt0( X, sz10 ) = X }.
% 1.31/1.68 { ! aNaturalNumber0( X ), X = sdtasdt0( sz10, X ) }.
% 1.31/1.68 { ! aNaturalNumber0( X ), sdtasdt0( X, sz00 ) = sz00 }.
% 1.31/1.68 { ! aNaturalNumber0( X ), sz00 = sdtasdt0( sz00, X ) }.
% 1.31/1.68 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ),
% 1.31/1.68 sdtasdt0( X, sdtpldt0( Y, Z ) ) = sdtpldt0( sdtasdt0( X, Y ), sdtasdt0( X
% 1.31/1.68 , Z ) ) }.
% 1.31/1.68 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ),
% 1.31/1.68 sdtasdt0( sdtpldt0( Y, Z ), X ) = sdtpldt0( sdtasdt0( Y, X ), sdtasdt0( Z
% 1.31/1.68 , X ) ) }.
% 1.31/1.68 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 1.31/1.68 sdtpldt0( X, Y ) = sdtpldt0( X, Z ), Y = Z }.
% 1.31/1.68 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 1.31/1.68 sdtpldt0( Y, X ) = sdtpldt0( Z, X ), Y = Z }.
% 1.31/1.68 { ! aNaturalNumber0( X ), X = sz00, ! aNaturalNumber0( Y ), !
% 1.31/1.68 aNaturalNumber0( Z ), ! sdtasdt0( X, Y ) = sdtasdt0( X, Z ), Y = Z }.
% 1.31/1.68 { ! aNaturalNumber0( X ), X = sz00, ! aNaturalNumber0( Y ), !
% 1.31/1.68 aNaturalNumber0( Z ), ! sdtasdt0( Y, X ) = sdtasdt0( Z, X ), Y = Z }.
% 1.31/1.68 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtpldt0( X, Y ) = sz00
% 1.31/1.68 , X = sz00 }.
% 1.31/1.68 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtpldt0( X, Y ) = sz00
% 1.31/1.68 , Y = sz00 }.
% 1.31/1.68 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtasdt0( X, Y ) = sz00
% 1.31/1.68 , X = sz00, Y = sz00 }.
% 1.31/1.68 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ),
% 1.31/1.68 aNaturalNumber0( skol1( Z, T ) ) }.
% 1.31/1.68 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ),
% 1.31/1.68 sdtpldt0( X, skol1( X, Y ) ) = Y }.
% 1.31/1.68 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 1.31/1.68 sdtpldt0( X, Z ) = Y, sdtlseqdt0( X, Y ) }.
% 1.31/1.68 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), ! Z
% 1.31/1.68 = sdtmndt0( Y, X ), aNaturalNumber0( Z ) }.
% 1.31/1.68 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), ! Z
% 1.31/1.68 = sdtmndt0( Y, X ), sdtpldt0( X, Z ) = Y }.
% 1.31/1.68 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), !
% 1.31/1.68 aNaturalNumber0( Z ), ! sdtpldt0( X, Z ) = Y, Z = sdtmndt0( Y, X ) }.
% 1.31/1.68 { ! aNaturalNumber0( X ), sdtlseqdt0( X, X ) }.
% 1.31/1.68 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), !
% 1.31/1.68 sdtlseqdt0( Y, X ), X = Y }.
% 1.31/1.68 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 1.31/1.68 sdtlseqdt0( X, Y ), ! sdtlseqdt0( Y, Z ), sdtlseqdt0( X, Z ) }.
% 1.31/1.68 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), sdtlseqdt0( X, Y ), ! Y =
% 1.31/1.68 X }.
% 1.31/1.68 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), sdtlseqdt0( X, Y ),
% 1.31/1.68 sdtlseqdt0( Y, X ) }.
% 1.31/1.68 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = Y, ! sdtlseqdt0( X, Y
% 1.31/1.68 ), ! aNaturalNumber0( Z ), alpha1( X, Y, Z ) }.
% 1.31/1.68 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = Y, ! sdtlseqdt0( X, Y
% 1.31/1.68 ), ! aNaturalNumber0( Z ), sdtlseqdt0( sdtpldt0( X, Z ), sdtpldt0( Y, Z
% 1.31/1.68 ) ) }.
% 1.31/1.68 { ! alpha1( X, Y, Z ), ! sdtpldt0( Z, X ) = sdtpldt0( Z, Y ) }.
% 1.31/1.68 { ! alpha1( X, Y, Z ), sdtlseqdt0( sdtpldt0( Z, X ), sdtpldt0( Z, Y ) ) }.
% 1.31/1.68 { ! alpha1( X, Y, Z ), ! sdtpldt0( X, Z ) = sdtpldt0( Y, Z ) }.
% 3.41/3.78 { sdtpldt0( Z, X ) = sdtpldt0( Z, Y ), ! sdtlseqdt0( sdtpldt0( Z, X ),
% 3.41/3.78 sdtpldt0( Z, Y ) ), sdtpldt0( X, Z ) = sdtpldt0( Y, Z ), alpha1( X, Y, Z
% 3.41/3.78 ) }.
% 3.41/3.78 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), X
% 3.41/3.78 = sz00, Y = Z, ! sdtlseqdt0( Y, Z ), alpha2( X, Y, Z ) }.
% 3.41/3.78 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), X
% 3.41/3.78 = sz00, Y = Z, ! sdtlseqdt0( Y, Z ), sdtlseqdt0( sdtasdt0( Y, X ),
% 3.41/3.78 sdtasdt0( Z, X ) ) }.
% 3.41/3.78 { ! alpha2( X, Y, Z ), ! sdtasdt0( X, Y ) = sdtasdt0( X, Z ) }.
% 3.41/3.78 { ! alpha2( X, Y, Z ), sdtlseqdt0( sdtasdt0( X, Y ), sdtasdt0( X, Z ) ) }.
% 3.41/3.78 { ! alpha2( X, Y, Z ), ! sdtasdt0( Y, X ) = sdtasdt0( Z, X ) }.
% 3.41/3.78 { sdtasdt0( X, Y ) = sdtasdt0( X, Z ), ! sdtlseqdt0( sdtasdt0( X, Y ),
% 3.41/3.78 sdtasdt0( X, Z ) ), sdtasdt0( Y, X ) = sdtasdt0( Z, X ), alpha2( X, Y, Z
% 3.41/3.78 ) }.
% 3.41/3.78 { ! aNaturalNumber0( X ), X = sz00, X = sz10, ! sz10 = X }.
% 3.41/3.78 { ! aNaturalNumber0( X ), X = sz00, X = sz10, sdtlseqdt0( sz10, X ) }.
% 3.41/3.78 { aNaturalNumber0( xm ) }.
% 3.41/3.78 { aNaturalNumber0( xn ) }.
% 3.41/3.78 { ! xm = sz00 }.
% 3.41/3.78 { ! sdtlseqdt0( sz10, xm ) }.
% 3.41/3.78
% 3.41/3.78 percentage equality = 0.315508, percentage horn = 0.777778
% 3.41/3.78 This is a problem with some equality
% 3.41/3.78
% 3.41/3.78
% 3.41/3.78
% 3.41/3.78 Options Used:
% 3.41/3.78
% 3.41/3.78 useres = 1
% 3.41/3.78 useparamod = 1
% 3.41/3.78 useeqrefl = 1
% 3.41/3.78 useeqfact = 1
% 3.41/3.78 usefactor = 1
% 3.41/3.78 usesimpsplitting = 0
% 3.41/3.78 usesimpdemod = 5
% 3.41/3.78 usesimpres = 3
% 3.41/3.78
% 3.41/3.78 resimpinuse = 1000
% 3.41/3.78 resimpclauses = 20000
% 3.41/3.78 substype = eqrewr
% 3.41/3.78 backwardsubs = 1
% 3.41/3.78 selectoldest = 5
% 3.41/3.78
% 3.41/3.78 litorderings [0] = split
% 3.41/3.78 litorderings [1] = extend the termordering, first sorting on arguments
% 3.41/3.78
% 3.41/3.78 termordering = kbo
% 3.41/3.78
% 3.41/3.78 litapriori = 0
% 3.41/3.78 termapriori = 1
% 3.41/3.78 litaposteriori = 0
% 3.41/3.78 termaposteriori = 0
% 3.41/3.78 demodaposteriori = 0
% 3.41/3.78 ordereqreflfact = 0
% 3.41/3.78
% 3.41/3.78 litselect = negord
% 3.41/3.78
% 3.41/3.78 maxweight = 15
% 3.41/3.78 maxdepth = 30000
% 3.41/3.78 maxlength = 115
% 3.41/3.78 maxnrvars = 195
% 3.41/3.78 excuselevel = 1
% 3.41/3.78 increasemaxweight = 1
% 3.41/3.78
% 3.41/3.78 maxselected = 10000000
% 3.41/3.78 maxnrclauses = 10000000
% 3.41/3.78
% 3.41/3.78 showgenerated = 0
% 3.41/3.78 showkept = 0
% 3.41/3.78 showselected = 0
% 3.41/3.78 showdeleted = 0
% 3.41/3.78 showresimp = 1
% 3.41/3.78 showstatus = 2000
% 3.41/3.78
% 3.41/3.78 prologoutput = 0
% 3.41/3.78 nrgoals = 5000000
% 3.41/3.78 totalproof = 1
% 3.41/3.78
% 3.41/3.78 Symbols occurring in the translation:
% 3.41/3.78
% 3.41/3.78 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 3.41/3.78 . [1, 2] (w:1, o:19, a:1, s:1, b:0),
% 3.41/3.78 && [3, 0] (w:1, o:4, a:1, s:1, b:0),
% 3.41/3.78 ! [4, 1] (w:0, o:13, a:1, s:1, b:0),
% 3.41/3.78 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 3.41/3.78 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 3.41/3.78 aNaturalNumber0 [36, 1] (w:1, o:18, a:1, s:1, b:0),
% 3.41/3.78 sz00 [37, 0] (w:1, o:7, a:1, s:1, b:0),
% 3.41/3.78 sz10 [38, 0] (w:1, o:8, a:1, s:1, b:0),
% 3.41/3.78 sdtpldt0 [40, 2] (w:1, o:43, a:1, s:1, b:0),
% 3.41/3.78 sdtasdt0 [41, 2] (w:1, o:44, a:1, s:1, b:0),
% 3.41/3.78 sdtlseqdt0 [43, 2] (w:1, o:45, a:1, s:1, b:0),
% 3.41/3.78 sdtmndt0 [44, 2] (w:1, o:46, a:1, s:1, b:0),
% 3.41/3.78 xm [45, 0] (w:1, o:11, a:1, s:1, b:0),
% 3.41/3.78 xn [46, 0] (w:1, o:12, a:1, s:1, b:0),
% 3.41/3.78 alpha1 [47, 3] (w:1, o:48, a:1, s:1, b:1),
% 3.41/3.78 alpha2 [48, 3] (w:1, o:49, a:1, s:1, b:1),
% 3.41/3.78 skol1 [49, 2] (w:1, o:47, a:1, s:1, b:1).
% 3.41/3.78
% 3.41/3.78
% 3.41/3.78 Starting Search:
% 3.41/3.78
% 3.41/3.78 *** allocated 15000 integers for clauses
% 3.41/3.78 *** allocated 22500 integers for clauses
% 3.41/3.78 *** allocated 33750 integers for clauses
% 3.41/3.78 *** allocated 50625 integers for clauses
% 3.41/3.78 *** allocated 15000 integers for termspace/termends
% 3.41/3.78 *** allocated 75937 integers for clauses
% 3.41/3.78 Resimplifying inuse:
% 3.41/3.78 Done
% 3.41/3.78
% 3.41/3.78 *** allocated 22500 integers for termspace/termends
% 3.41/3.78 *** allocated 113905 integers for clauses
% 3.41/3.78 *** allocated 33750 integers for termspace/termends
% 3.41/3.78 *** allocated 170857 integers for clauses
% 3.41/3.78
% 3.41/3.78 Intermediate Status:
% 3.41/3.78 Generated: 9600
% 3.41/3.78 Kept: 2015
% 3.41/3.78 Inuse: 103
% 3.41/3.78 Deleted: 9
% 3.41/3.78 Deletedinuse: 9
% 3.41/3.78
% 3.41/3.78 Resimplifying inuse:
% 3.41/3.78 Done
% 3.41/3.78
% 3.41/3.78 *** allocated 50625 integers for termspace/termends
% 3.41/3.78 *** allocated 256285 integers for clauses
% 3.41/3.78 Resimplifying inuse:
% 3.41/3.78 Done
% 3.41/3.78
% 3.41/3.78 *** allocated 75937 integers for termspace/termends
% 3.41/3.78
% 3.41/3.78 Intermediate Status:
% 3.41/3.78 Generated: 24582
% 3.41/3.78 Kept: 4045
% 3.41/3.78 Inuse: 161
% 3.41/3.78 Deleted: 14
% 3.41/3.78 Deletedinuse: 9
% 3.41/3.78
% 3.41/3.78 Resimplifying inuse:
% 3.41/3.78 Done
% 3.41/3.78
% 3.41/3.78 *** allocated 384427 integers for clauses
% 3.41/3.78 *** allocated 113905 integers for termspace/termends
% 3.41/3.78 Resimplifying inuse:
% 3.41/3.78 Done
% 3.41/3.78
% 3.41/3.78
% 3.41/3.78 Intermediate Status:
% 3.41/3.78 Generated: 47614
% 3.41/3.78 Kept: 6055
% 3.41/3.78 Inuse: 203
% 3.41/3.78 Deleted: 21
% 3.41/3.78 Deletedinuse: 11
% 3.41/3.78
% 3.41/3.78 Resimplifying inuse:
% 3.41/3.78 Done
% 3.41/3.78
% 3.41/3.78 *** allocated 170857 integers for termspace/termends
% 3.41/3.78 Resimplifying inuse:
% 3.41/3.78 Done
% 3.41/3.78
% 3.41/3.78 *** allocated 576640 integers for clauses
% 3.41/3.78
% 3.41/3.78 Intermediate Status:
% 3.41/3.78 Generated: 71093
% 3.41/3.78 Kept: 8075
% 3.41/3.78 Inuse: 272
% 3.41/3.78 Deleted: 37
% 3.41/3.78 Deletedinuse: 12
% 3.41/3.78
% 3.41/3.78 Resimplifying inuse:
% 3.41/3.78 Done
% 3.41/3.78
% 3.41/3.78
% 3.41/3.78 Bliksems!, er is een bewijs:
% 3.41/3.78 % SZS status Theorem
% 3.41/3.78 % SZS output start Refutation
% 3.41/3.78
% 3.41/3.78 (2) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( sz10 ) }.
% 3.41/3.78 (20) {G0,W19,D3,L6,V3,M6} I { ! aNaturalNumber0( X ), X = sz00, !
% 3.41/3.78 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! sdtasdt0( X, Y ) =
% 3.41/3.78 sdtasdt0( X, Z ), Y = Z }.
% 3.41/3.78 (34) {G0,W10,D2,L4,V2,M4} I { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 3.41/3.78 ), sdtlseqdt0( X, Y ), ! Y = X }.
% 3.41/3.78 (49) {G0,W11,D2,L4,V1,M4} I { ! aNaturalNumber0( X ), X = sz00, X = sz10,
% 3.41/3.78 sdtlseqdt0( sz10, X ) }.
% 3.41/3.78 (50) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xm ) }.
% 3.41/3.78 (52) {G0,W3,D2,L1,V0,M1} I { ! xm ==> sz00 }.
% 3.41/3.78 (53) {G0,W3,D2,L1,V0,M1} I { ! sdtlseqdt0( sz10, xm ) }.
% 3.41/3.78 (74) {G1,W17,D3,L5,V2,M5} F(20) { ! aNaturalNumber0( X ), X = sz00, !
% 3.41/3.78 aNaturalNumber0( Y ), ! sdtasdt0( X, X ) = sdtasdt0( X, Y ), X = Y }.
% 3.41/3.78 (3661) {G1,W8,D2,L3,V1,M3} R(34,2) { ! aNaturalNumber0( X ), sdtlseqdt0(
% 3.41/3.78 sz10, X ), ! X = sz10 }.
% 3.41/3.78 (6937) {G2,W8,D2,L3,V1,M3} S(49);r(3661) { ! aNaturalNumber0( X ), X = sz00
% 3.41/3.78 , sdtlseqdt0( sz10, X ) }.
% 3.41/3.78 (8910) {G3,W14,D3,L4,V1,M4} P(74,53);r(6937) { ! aNaturalNumber0( X ), X =
% 3.41/3.78 sz00, ! aNaturalNumber0( xm ), ! sdtasdt0( X, X ) = sdtasdt0( X, xm ) }.
% 3.41/3.78 (8911) {G4,W3,D2,L1,V0,M1} F(8910);q;r(50) { xm ==> sz00 }.
% 3.41/3.78 (8915) {G5,W0,D0,L0,V0,M0} S(8911);r(52) { }.
% 3.41/3.78
% 3.41/3.78
% 3.41/3.78 % SZS output end Refutation
% 3.41/3.78 found a proof!
% 3.41/3.78
% 3.41/3.78
% 3.41/3.78 Unprocessed initial clauses:
% 3.41/3.78
% 3.41/3.78 (8917) {G0,W1,D1,L1,V0,M1} { && }.
% 3.41/3.78 (8918) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( sz00 ) }.
% 3.41/3.78 (8919) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( sz10 ) }.
% 3.41/3.78 (8920) {G0,W3,D2,L1,V0,M1} { ! sz10 = sz00 }.
% 3.41/3.78 (8921) {G0,W8,D3,L3,V2,M3} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 3.41/3.78 ), aNaturalNumber0( sdtpldt0( X, Y ) ) }.
% 3.41/3.78 (8922) {G0,W8,D3,L3,V2,M3} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 3.41/3.78 ), aNaturalNumber0( sdtasdt0( X, Y ) ) }.
% 3.41/3.78 (8923) {G0,W11,D3,L3,V2,M3} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 3.41/3.78 ), sdtpldt0( X, Y ) = sdtpldt0( Y, X ) }.
% 3.41/3.78 (8924) {G0,W17,D4,L4,V3,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 3.41/3.78 ), ! aNaturalNumber0( Z ), sdtpldt0( sdtpldt0( X, Y ), Z ) = sdtpldt0( X
% 3.41/3.78 , sdtpldt0( Y, Z ) ) }.
% 3.41/3.78 (8925) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), sdtpldt0( X, sz00 ) =
% 3.41/3.78 X }.
% 3.41/3.78 (8926) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), X = sdtpldt0( sz00, X
% 3.41/3.78 ) }.
% 3.41/3.78 (8927) {G0,W11,D3,L3,V2,M3} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 3.41/3.78 ), sdtasdt0( X, Y ) = sdtasdt0( Y, X ) }.
% 3.41/3.78 (8928) {G0,W17,D4,L4,V3,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 3.41/3.78 ), ! aNaturalNumber0( Z ), sdtasdt0( sdtasdt0( X, Y ), Z ) = sdtasdt0( X
% 3.41/3.78 , sdtasdt0( Y, Z ) ) }.
% 3.41/3.78 (8929) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), sdtasdt0( X, sz10 ) =
% 3.41/3.78 X }.
% 3.41/3.78 (8930) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), X = sdtasdt0( sz10, X
% 3.41/3.78 ) }.
% 3.41/3.78 (8931) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), sdtasdt0( X, sz00 ) =
% 3.41/3.78 sz00 }.
% 3.41/3.78 (8932) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), sz00 = sdtasdt0( sz00
% 3.41/3.78 , X ) }.
% 3.41/3.78 (8933) {G0,W19,D4,L4,V3,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 3.41/3.78 ), ! aNaturalNumber0( Z ), sdtasdt0( X, sdtpldt0( Y, Z ) ) = sdtpldt0(
% 3.41/3.78 sdtasdt0( X, Y ), sdtasdt0( X, Z ) ) }.
% 3.41/3.78 (8934) {G0,W19,D4,L4,V3,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 3.41/3.78 ), ! aNaturalNumber0( Z ), sdtasdt0( sdtpldt0( Y, Z ), X ) = sdtpldt0(
% 3.41/3.78 sdtasdt0( Y, X ), sdtasdt0( Z, X ) ) }.
% 3.41/3.78 (8935) {G0,W16,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 3.41/3.78 ), ! aNaturalNumber0( Z ), ! sdtpldt0( X, Y ) = sdtpldt0( X, Z ), Y = Z
% 3.41/3.78 }.
% 3.41/3.78 (8936) {G0,W16,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 3.41/3.78 ), ! aNaturalNumber0( Z ), ! sdtpldt0( Y, X ) = sdtpldt0( Z, X ), Y = Z
% 3.41/3.78 }.
% 3.41/3.78 (8937) {G0,W19,D3,L6,V3,M6} { ! aNaturalNumber0( X ), X = sz00, !
% 3.41/3.78 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! sdtasdt0( X, Y ) =
% 3.41/3.78 sdtasdt0( X, Z ), Y = Z }.
% 3.41/3.78 (8938) {G0,W19,D3,L6,V3,M6} { ! aNaturalNumber0( X ), X = sz00, !
% 3.41/3.78 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! sdtasdt0( Y, X ) =
% 3.41/3.78 sdtasdt0( Z, X ), Y = Z }.
% 3.41/3.78 (8939) {G0,W12,D3,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 3.41/3.78 ), ! sdtpldt0( X, Y ) = sz00, X = sz00 }.
% 3.41/3.78 (8940) {G0,W12,D3,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 3.41/3.78 ), ! sdtpldt0( X, Y ) = sz00, Y = sz00 }.
% 3.41/3.78 (8941) {G0,W15,D3,L5,V2,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 3.41/3.78 ), ! sdtasdt0( X, Y ) = sz00, X = sz00, Y = sz00 }.
% 3.41/3.78 (8942) {G0,W11,D3,L4,V4,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 3.41/3.78 ), ! sdtlseqdt0( X, Y ), aNaturalNumber0( skol1( Z, T ) ) }.
% 3.41/3.78 (8943) {G0,W14,D4,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 3.41/3.78 ), ! sdtlseqdt0( X, Y ), sdtpldt0( X, skol1( X, Y ) ) = Y }.
% 3.41/3.78 (8944) {G0,W14,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 3.41/3.78 ), ! aNaturalNumber0( Z ), ! sdtpldt0( X, Z ) = Y, sdtlseqdt0( X, Y )
% 3.41/3.78 }.
% 3.41/3.78 (8945) {G0,W14,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 3.41/3.78 ), ! sdtlseqdt0( X, Y ), ! Z = sdtmndt0( Y, X ), aNaturalNumber0( Z )
% 3.41/3.78 }.
% 3.41/3.78 (8946) {G0,W17,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 3.41/3.78 ), ! sdtlseqdt0( X, Y ), ! Z = sdtmndt0( Y, X ), sdtpldt0( X, Z ) = Y
% 3.41/3.78 }.
% 3.41/3.78 (8947) {G0,W19,D3,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 3.41/3.78 ), ! sdtlseqdt0( X, Y ), ! aNaturalNumber0( Z ), ! sdtpldt0( X, Z ) = Y
% 3.41/3.78 , Z = sdtmndt0( Y, X ) }.
% 3.41/3.78 (8948) {G0,W5,D2,L2,V1,M2} { ! aNaturalNumber0( X ), sdtlseqdt0( X, X )
% 3.41/3.78 }.
% 3.41/3.78 (8949) {G0,W13,D2,L5,V2,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 3.41/3.78 ), ! sdtlseqdt0( X, Y ), ! sdtlseqdt0( Y, X ), X = Y }.
% 3.41/3.78 (8950) {G0,W15,D2,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 3.41/3.78 ), ! aNaturalNumber0( Z ), ! sdtlseqdt0( X, Y ), ! sdtlseqdt0( Y, Z ),
% 3.41/3.78 sdtlseqdt0( X, Z ) }.
% 3.41/3.78 (8951) {G0,W10,D2,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 3.41/3.78 ), sdtlseqdt0( X, Y ), ! Y = X }.
% 3.41/3.78 (8952) {G0,W10,D2,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 3.41/3.78 ), sdtlseqdt0( X, Y ), sdtlseqdt0( Y, X ) }.
% 3.41/3.78 (8953) {G0,W16,D2,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 3.41/3.78 ), X = Y, ! sdtlseqdt0( X, Y ), ! aNaturalNumber0( Z ), alpha1( X, Y, Z
% 3.41/3.78 ) }.
% 3.41/3.78 (8954) {G0,W19,D3,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 3.41/3.78 ), X = Y, ! sdtlseqdt0( X, Y ), ! aNaturalNumber0( Z ), sdtlseqdt0(
% 3.41/3.78 sdtpldt0( X, Z ), sdtpldt0( Y, Z ) ) }.
% 3.41/3.78 (8955) {G0,W11,D3,L2,V3,M2} { ! alpha1( X, Y, Z ), ! sdtpldt0( Z, X ) =
% 3.41/3.78 sdtpldt0( Z, Y ) }.
% 3.41/3.78 (8956) {G0,W11,D3,L2,V3,M2} { ! alpha1( X, Y, Z ), sdtlseqdt0( sdtpldt0( Z
% 3.41/3.78 , X ), sdtpldt0( Z, Y ) ) }.
% 3.41/3.78 (8957) {G0,W11,D3,L2,V3,M2} { ! alpha1( X, Y, Z ), ! sdtpldt0( X, Z ) =
% 3.41/3.78 sdtpldt0( Y, Z ) }.
% 3.41/3.78 (8958) {G0,W25,D3,L4,V3,M4} { sdtpldt0( Z, X ) = sdtpldt0( Z, Y ), !
% 3.41/3.78 sdtlseqdt0( sdtpldt0( Z, X ), sdtpldt0( Z, Y ) ), sdtpldt0( X, Z ) =
% 3.41/3.78 sdtpldt0( Y, Z ), alpha1( X, Y, Z ) }.
% 3.41/3.78 (8959) {G0,W19,D2,L7,V3,M7} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 3.41/3.78 ), ! aNaturalNumber0( Z ), X = sz00, Y = Z, ! sdtlseqdt0( Y, Z ), alpha2
% 3.41/3.78 ( X, Y, Z ) }.
% 3.41/3.78 (8960) {G0,W22,D3,L7,V3,M7} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 3.41/3.78 ), ! aNaturalNumber0( Z ), X = sz00, Y = Z, ! sdtlseqdt0( Y, Z ),
% 3.41/3.78 sdtlseqdt0( sdtasdt0( Y, X ), sdtasdt0( Z, X ) ) }.
% 3.41/3.78 (8961) {G0,W11,D3,L2,V3,M2} { ! alpha2( X, Y, Z ), ! sdtasdt0( X, Y ) =
% 3.41/3.78 sdtasdt0( X, Z ) }.
% 3.41/3.78 (8962) {G0,W11,D3,L2,V3,M2} { ! alpha2( X, Y, Z ), sdtlseqdt0( sdtasdt0( X
% 3.41/3.78 , Y ), sdtasdt0( X, Z ) ) }.
% 3.41/3.78 (8963) {G0,W11,D3,L2,V3,M2} { ! alpha2( X, Y, Z ), ! sdtasdt0( Y, X ) =
% 3.41/3.78 sdtasdt0( Z, X ) }.
% 3.41/3.78 (8964) {G0,W25,D3,L4,V3,M4} { sdtasdt0( X, Y ) = sdtasdt0( X, Z ), !
% 3.41/3.78 sdtlseqdt0( sdtasdt0( X, Y ), sdtasdt0( X, Z ) ), sdtasdt0( Y, X ) =
% 3.41/3.78 sdtasdt0( Z, X ), alpha2( X, Y, Z ) }.
% 3.41/3.78 (8965) {G0,W11,D2,L4,V1,M4} { ! aNaturalNumber0( X ), X = sz00, X = sz10,
% 3.41/3.78 ! sz10 = X }.
% 3.41/3.78 (8966) {G0,W11,D2,L4,V1,M4} { ! aNaturalNumber0( X ), X = sz00, X = sz10,
% 3.41/3.78 sdtlseqdt0( sz10, X ) }.
% 3.41/3.78 (8967) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( xm ) }.
% 3.41/3.78 (8968) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( xn ) }.
% 3.41/3.78 (8969) {G0,W3,D2,L1,V0,M1} { ! xm = sz00 }.
% 3.41/3.78 (8970) {G0,W3,D2,L1,V0,M1} { ! sdtlseqdt0( sz10, xm ) }.
% 3.41/3.78
% 3.41/3.78
% 3.41/3.78 Total Proof:
% 3.41/3.78
% 3.41/3.78 subsumption: (2) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( sz10 ) }.
% 3.41/3.78 parent0: (8919) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( sz10 ) }.
% 3.41/3.78 substitution0:
% 3.41/3.78 end
% 3.41/3.78 permutation0:
% 3.41/3.78 0 ==> 0
% 3.41/3.78 end
% 3.41/3.78
% 3.41/3.78 subsumption: (20) {G0,W19,D3,L6,V3,M6} I { ! aNaturalNumber0( X ), X = sz00
% 3.41/3.78 , ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! sdtasdt0( X, Y ) =
% 3.41/3.78 sdtasdt0( X, Z ), Y = Z }.
% 3.41/3.78 parent0: (8937) {G0,W19,D3,L6,V3,M6} { ! aNaturalNumber0( X ), X = sz00, !
% 3.41/3.78 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! sdtasdt0( X, Y ) =
% 3.41/3.78 sdtasdt0( X, Z ), Y = Z }.
% 3.41/3.78 substitution0:
% 3.41/3.78 X := X
% 3.41/3.78 Y := Y
% 3.41/3.78 Z := Z
% 3.41/3.78 end
% 3.41/3.78 permutation0:
% 3.41/3.78 0 ==> 0
% 3.41/3.78 1 ==> 1
% 3.41/3.78 2 ==> 2
% 3.41/3.78 3 ==> 3
% 3.41/3.78 4 ==> 4
% 3.41/3.78 5 ==> 5
% 3.41/3.78 end
% 3.41/3.78
% 3.41/3.78 subsumption: (34) {G0,W10,D2,L4,V2,M4} I { ! aNaturalNumber0( X ), !
% 3.41/3.78 aNaturalNumber0( Y ), sdtlseqdt0( X, Y ), ! Y = X }.
% 3.41/3.78 parent0: (8951) {G0,W10,D2,L4,V2,M4} { ! aNaturalNumber0( X ), !
% 3.41/3.79 aNaturalNumber0( Y ), sdtlseqdt0( X, Y ), ! Y = X }.
% 3.41/3.79 substitution0:
% 3.41/3.79 X := X
% 3.41/3.79 Y := Y
% 3.41/3.79 end
% 3.41/3.79 permutation0:
% 3.41/3.79 0 ==> 0
% 3.41/3.79 1 ==> 1
% 3.41/3.79 2 ==> 2
% 3.41/3.79 3 ==> 3
% 3.41/3.79 end
% 3.41/3.79
% 3.41/3.79 subsumption: (49) {G0,W11,D2,L4,V1,M4} I { ! aNaturalNumber0( X ), X = sz00
% 3.41/3.79 , X = sz10, sdtlseqdt0( sz10, X ) }.
% 3.41/3.79 parent0: (8966) {G0,W11,D2,L4,V1,M4} { ! aNaturalNumber0( X ), X = sz00, X
% 3.41/3.79 = sz10, sdtlseqdt0( sz10, X ) }.
% 3.41/3.79 substitution0:
% 3.41/3.79 X := X
% 3.41/3.79 end
% 3.41/3.79 permutation0:
% 3.41/3.79 0 ==> 0
% 3.41/3.79 1 ==> 1
% 3.41/3.79 2 ==> 2
% 3.41/3.79 3 ==> 3
% 3.41/3.79 end
% 3.41/3.79
% 3.41/3.79 subsumption: (50) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xm ) }.
% 3.41/3.79 parent0: (8967) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( xm ) }.
% 3.41/3.79 substitution0:
% 3.41/3.79 end
% 3.41/3.79 permutation0:
% 3.41/3.79 0 ==> 0
% 3.41/3.79 end
% 3.41/3.79
% 3.41/3.79 *** allocated 256285 integers for termspace/termends
% 3.41/3.79 subsumption: (52) {G0,W3,D2,L1,V0,M1} I { ! xm ==> sz00 }.
% 3.41/3.79 parent0: (8969) {G0,W3,D2,L1,V0,M1} { ! xm = sz00 }.
% 3.41/3.79 substitution0:
% 3.41/3.79 end
% 3.41/3.79 permutation0:
% 3.41/3.79 0 ==> 0
% 3.41/3.79 end
% 3.41/3.79
% 3.41/3.79 subsumption: (53) {G0,W3,D2,L1,V0,M1} I { ! sdtlseqdt0( sz10, xm ) }.
% 3.41/3.79 parent0: (8970) {G0,W3,D2,L1,V0,M1} { ! sdtlseqdt0( sz10, xm ) }.
% 3.41/3.79 substitution0:
% 3.41/3.79 end
% 3.41/3.79 permutation0:
% 3.41/3.79 0 ==> 0
% 3.41/3.79 end
% 3.41/3.79
% 3.41/3.79 factor: (10385) {G0,W17,D3,L5,V2,M5} { ! aNaturalNumber0( X ), X = sz00, !
% 3.41/3.79 aNaturalNumber0( Y ), ! sdtasdt0( X, X ) = sdtasdt0( X, Y ), X = Y }.
% 3.41/3.79 parent0[0, 2]: (20) {G0,W19,D3,L6,V3,M6} I { ! aNaturalNumber0( X ), X =
% 3.41/3.79 sz00, ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! sdtasdt0( X, Y )
% 3.41/3.79 = sdtasdt0( X, Z ), Y = Z }.
% 3.41/3.79 substitution0:
% 3.41/3.79 X := X
% 3.41/3.79 Y := X
% 3.41/3.79 Z := Y
% 3.41/3.79 end
% 3.41/3.79
% 3.41/3.79 subsumption: (74) {G1,W17,D3,L5,V2,M5} F(20) { ! aNaturalNumber0( X ), X =
% 3.41/3.79 sz00, ! aNaturalNumber0( Y ), ! sdtasdt0( X, X ) = sdtasdt0( X, Y ), X =
% 3.41/3.79 Y }.
% 3.41/3.79 parent0: (10385) {G0,W17,D3,L5,V2,M5} { ! aNaturalNumber0( X ), X = sz00,
% 3.41/3.79 ! aNaturalNumber0( Y ), ! sdtasdt0( X, X ) = sdtasdt0( X, Y ), X = Y }.
% 3.41/3.79 substitution0:
% 3.41/3.79 X := X
% 3.41/3.79 Y := Y
% 3.41/3.79 end
% 3.41/3.79 permutation0:
% 3.41/3.79 0 ==> 0
% 3.41/3.79 1 ==> 1
% 3.41/3.79 2 ==> 2
% 3.41/3.79 3 ==> 3
% 3.41/3.79 4 ==> 4
% 3.41/3.79 end
% 3.41/3.79
% 3.41/3.79 eqswap: (10407) {G0,W10,D2,L4,V2,M4} { ! Y = X, ! aNaturalNumber0( Y ), !
% 3.41/3.79 aNaturalNumber0( X ), sdtlseqdt0( Y, X ) }.
% 3.41/3.79 parent0[3]: (34) {G0,W10,D2,L4,V2,M4} I { ! aNaturalNumber0( X ), !
% 3.41/3.79 aNaturalNumber0( Y ), sdtlseqdt0( X, Y ), ! Y = X }.
% 3.41/3.79 substitution0:
% 3.41/3.79 X := Y
% 3.41/3.79 Y := X
% 3.41/3.79 end
% 3.41/3.79
% 3.41/3.79 resolution: (10408) {G1,W8,D2,L3,V1,M3} { ! sz10 = X, ! aNaturalNumber0( X
% 3.41/3.79 ), sdtlseqdt0( sz10, X ) }.
% 3.41/3.79 parent0[1]: (10407) {G0,W10,D2,L4,V2,M4} { ! Y = X, ! aNaturalNumber0( Y )
% 3.41/3.79 , ! aNaturalNumber0( X ), sdtlseqdt0( Y, X ) }.
% 3.41/3.79 parent1[0]: (2) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( sz10 ) }.
% 3.41/3.79 substitution0:
% 3.41/3.79 X := X
% 3.41/3.79 Y := sz10
% 3.41/3.79 end
% 3.41/3.79 substitution1:
% 3.41/3.79 end
% 3.41/3.79
% 3.41/3.79 eqswap: (10411) {G1,W8,D2,L3,V1,M3} { ! X = sz10, ! aNaturalNumber0( X ),
% 3.41/3.79 sdtlseqdt0( sz10, X ) }.
% 3.41/3.79 parent0[0]: (10408) {G1,W8,D2,L3,V1,M3} { ! sz10 = X, ! aNaturalNumber0( X
% 3.41/3.79 ), sdtlseqdt0( sz10, X ) }.
% 3.41/3.79 substitution0:
% 3.41/3.79 X := X
% 3.41/3.79 end
% 3.41/3.79
% 3.41/3.79 subsumption: (3661) {G1,W8,D2,L3,V1,M3} R(34,2) { ! aNaturalNumber0( X ),
% 3.41/3.79 sdtlseqdt0( sz10, X ), ! X = sz10 }.
% 3.41/3.79 parent0: (10411) {G1,W8,D2,L3,V1,M3} { ! X = sz10, ! aNaturalNumber0( X )
% 3.41/3.79 , sdtlseqdt0( sz10, X ) }.
% 3.41/3.79 substitution0:
% 3.41/3.79 X := X
% 3.41/3.79 end
% 3.41/3.79 permutation0:
% 3.41/3.79 0Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------