TSTP Solution File: NUM464+2 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : NUM464+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n025.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 3.60s 3.98s
% Output : Refutation 3.60s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : NUM464+2 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12 % Command : bliksem %s
% 0.12/0.32 % Computer : n025.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % DateTime : Thu Jul 7 10:51:13 EDT 2022
% 0.12/0.32 % CPUTime :
% 1.30/1.74 *** allocated 10000 integers for termspace/termends
% 1.30/1.74 *** allocated 10000 integers for clauses
% 1.30/1.74 *** allocated 10000 integers for justifications
% 1.30/1.74 Bliksem 1.12
% 1.30/1.74
% 1.30/1.74
% 1.30/1.74 Automatic Strategy Selection
% 1.30/1.74
% 1.30/1.74
% 1.30/1.74 Clauses:
% 1.30/1.74
% 1.30/1.74 { && }.
% 1.30/1.74 { aNaturalNumber0( sz00 ) }.
% 1.30/1.74 { aNaturalNumber0( sz10 ) }.
% 1.30/1.74 { ! sz10 = sz00 }.
% 1.30/1.74 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), aNaturalNumber0( sdtpldt0
% 1.30/1.74 ( X, Y ) ) }.
% 1.30/1.74 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), aNaturalNumber0( sdtasdt0
% 1.30/1.74 ( X, Y ) ) }.
% 1.30/1.74 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), sdtpldt0( X, Y ) =
% 1.30/1.74 sdtpldt0( Y, X ) }.
% 1.30/1.74 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ),
% 1.30/1.74 sdtpldt0( sdtpldt0( X, Y ), Z ) = sdtpldt0( X, sdtpldt0( Y, Z ) ) }.
% 1.30/1.74 { ! aNaturalNumber0( X ), sdtpldt0( X, sz00 ) = X }.
% 1.30/1.74 { ! aNaturalNumber0( X ), X = sdtpldt0( sz00, X ) }.
% 1.30/1.74 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), sdtasdt0( X, Y ) =
% 1.30/1.74 sdtasdt0( Y, X ) }.
% 1.30/1.74 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ),
% 1.30/1.74 sdtasdt0( sdtasdt0( X, Y ), Z ) = sdtasdt0( X, sdtasdt0( Y, Z ) ) }.
% 1.30/1.74 { ! aNaturalNumber0( X ), sdtasdt0( X, sz10 ) = X }.
% 1.30/1.74 { ! aNaturalNumber0( X ), X = sdtasdt0( sz10, X ) }.
% 1.30/1.74 { ! aNaturalNumber0( X ), sdtasdt0( X, sz00 ) = sz00 }.
% 1.30/1.74 { ! aNaturalNumber0( X ), sz00 = sdtasdt0( sz00, X ) }.
% 1.30/1.74 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ),
% 1.30/1.74 sdtasdt0( X, sdtpldt0( Y, Z ) ) = sdtpldt0( sdtasdt0( X, Y ), sdtasdt0( X
% 1.30/1.74 , Z ) ) }.
% 1.30/1.74 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ),
% 1.30/1.74 sdtasdt0( sdtpldt0( Y, Z ), X ) = sdtpldt0( sdtasdt0( Y, X ), sdtasdt0( Z
% 1.30/1.74 , X ) ) }.
% 1.30/1.74 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 1.30/1.74 sdtpldt0( X, Y ) = sdtpldt0( X, Z ), Y = Z }.
% 1.30/1.74 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 1.30/1.74 sdtpldt0( Y, X ) = sdtpldt0( Z, X ), Y = Z }.
% 1.30/1.74 { ! aNaturalNumber0( X ), X = sz00, ! aNaturalNumber0( Y ), !
% 1.30/1.74 aNaturalNumber0( Z ), ! sdtasdt0( X, Y ) = sdtasdt0( X, Z ), Y = Z }.
% 1.30/1.74 { ! aNaturalNumber0( X ), X = sz00, ! aNaturalNumber0( Y ), !
% 1.30/1.74 aNaturalNumber0( Z ), ! sdtasdt0( Y, X ) = sdtasdt0( Z, X ), Y = Z }.
% 1.30/1.74 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtpldt0( X, Y ) = sz00
% 1.30/1.74 , X = sz00 }.
% 1.30/1.74 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtpldt0( X, Y ) = sz00
% 1.30/1.74 , Y = sz00 }.
% 1.30/1.74 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtasdt0( X, Y ) = sz00
% 1.30/1.74 , X = sz00, Y = sz00 }.
% 1.30/1.74 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ),
% 1.30/1.74 aNaturalNumber0( skol1( Z, T ) ) }.
% 1.30/1.74 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ),
% 1.30/1.74 sdtpldt0( X, skol1( X, Y ) ) = Y }.
% 1.30/1.74 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 1.30/1.74 sdtpldt0( X, Z ) = Y, sdtlseqdt0( X, Y ) }.
% 1.30/1.74 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), ! Z
% 1.30/1.74 = sdtmndt0( Y, X ), aNaturalNumber0( Z ) }.
% 1.30/1.74 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), ! Z
% 1.30/1.74 = sdtmndt0( Y, X ), sdtpldt0( X, Z ) = Y }.
% 1.30/1.74 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), !
% 1.30/1.74 aNaturalNumber0( Z ), ! sdtpldt0( X, Z ) = Y, Z = sdtmndt0( Y, X ) }.
% 1.30/1.74 { ! aNaturalNumber0( X ), sdtlseqdt0( X, X ) }.
% 1.30/1.74 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! sdtlseqdt0( X, Y ), !
% 1.30/1.74 sdtlseqdt0( Y, X ), X = Y }.
% 1.30/1.74 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), !
% 1.30/1.74 sdtlseqdt0( X, Y ), ! sdtlseqdt0( Y, Z ), sdtlseqdt0( X, Z ) }.
% 1.30/1.74 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), sdtlseqdt0( X, Y ), ! Y =
% 1.30/1.74 X }.
% 1.30/1.74 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), sdtlseqdt0( X, Y ),
% 1.30/1.74 sdtlseqdt0( Y, X ) }.
% 1.30/1.74 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = Y, ! sdtlseqdt0( X, Y
% 1.30/1.74 ), ! aNaturalNumber0( Z ), alpha1( X, Y, Z ) }.
% 1.30/1.74 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), X = Y, ! sdtlseqdt0( X, Y
% 1.30/1.74 ), ! aNaturalNumber0( Z ), sdtlseqdt0( sdtpldt0( X, Z ), sdtpldt0( Y, Z
% 1.30/1.74 ) ) }.
% 1.30/1.74 { ! alpha1( X, Y, Z ), ! sdtpldt0( Z, X ) = sdtpldt0( Z, Y ) }.
% 1.30/1.74 { ! alpha1( X, Y, Z ), sdtlseqdt0( sdtpldt0( Z, X ), sdtpldt0( Z, Y ) ) }.
% 1.30/1.74 { ! alpha1( X, Y, Z ), ! sdtpldt0( X, Z ) = sdtpldt0( Y, Z ) }.
% 3.60/3.98 { sdtpldt0( Z, X ) = sdtpldt0( Z, Y ), ! sdtlseqdt0( sdtpldt0( Z, X ),
% 3.60/3.98 sdtpldt0( Z, Y ) ), sdtpldt0( X, Z ) = sdtpldt0( Y, Z ), alpha1( X, Y, Z
% 3.60/3.98 ) }.
% 3.60/3.98 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), X
% 3.60/3.98 = sz00, Y = Z, ! sdtlseqdt0( Y, Z ), alpha2( X, Y, Z ) }.
% 3.60/3.98 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), X
% 3.60/3.98 = sz00, Y = Z, ! sdtlseqdt0( Y, Z ), sdtlseqdt0( sdtasdt0( Y, X ),
% 3.60/3.98 sdtasdt0( Z, X ) ) }.
% 3.60/3.98 { ! alpha2( X, Y, Z ), ! sdtasdt0( X, Y ) = sdtasdt0( X, Z ) }.
% 3.60/3.98 { ! alpha2( X, Y, Z ), sdtlseqdt0( sdtasdt0( X, Y ), sdtasdt0( X, Z ) ) }.
% 3.60/3.98 { ! alpha2( X, Y, Z ), ! sdtasdt0( Y, X ) = sdtasdt0( Z, X ) }.
% 3.60/3.98 { sdtasdt0( X, Y ) = sdtasdt0( X, Z ), ! sdtlseqdt0( sdtasdt0( X, Y ),
% 3.60/3.98 sdtasdt0( X, Z ) ), sdtasdt0( Y, X ) = sdtasdt0( Z, X ), alpha2( X, Y, Z
% 3.60/3.98 ) }.
% 3.60/3.98 { ! aNaturalNumber0( X ), X = sz00, X = sz10, ! sz10 = X }.
% 3.60/3.98 { ! aNaturalNumber0( X ), X = sz00, X = sz10, sdtlseqdt0( sz10, X ) }.
% 3.60/3.98 { aNaturalNumber0( xm ) }.
% 3.60/3.98 { aNaturalNumber0( xn ) }.
% 3.60/3.98 { ! xm = sz00 }.
% 3.60/3.98 { ! aNaturalNumber0( X ), ! sdtpldt0( sz10, X ) = xm }.
% 3.60/3.98 { ! sdtlseqdt0( sz10, xm ) }.
% 3.60/3.98
% 3.60/3.98 percentage equality = 0.317460, percentage horn = 0.781818
% 3.60/3.98 This is a problem with some equality
% 3.60/3.98
% 3.60/3.98
% 3.60/3.98
% 3.60/3.98 Options Used:
% 3.60/3.98
% 3.60/3.98 useres = 1
% 3.60/3.98 useparamod = 1
% 3.60/3.98 useeqrefl = 1
% 3.60/3.98 useeqfact = 1
% 3.60/3.98 usefactor = 1
% 3.60/3.98 usesimpsplitting = 0
% 3.60/3.98 usesimpdemod = 5
% 3.60/3.98 usesimpres = 3
% 3.60/3.98
% 3.60/3.98 resimpinuse = 1000
% 3.60/3.98 resimpclauses = 20000
% 3.60/3.98 substype = eqrewr
% 3.60/3.98 backwardsubs = 1
% 3.60/3.98 selectoldest = 5
% 3.60/3.98
% 3.60/3.98 litorderings [0] = split
% 3.60/3.98 litorderings [1] = extend the termordering, first sorting on arguments
% 3.60/3.98
% 3.60/3.98 termordering = kbo
% 3.60/3.98
% 3.60/3.98 litapriori = 0
% 3.60/3.98 termapriori = 1
% 3.60/3.98 litaposteriori = 0
% 3.60/3.98 termaposteriori = 0
% 3.60/3.98 demodaposteriori = 0
% 3.60/3.98 ordereqreflfact = 0
% 3.60/3.98
% 3.60/3.98 litselect = negord
% 3.60/3.98
% 3.60/3.98 maxweight = 15
% 3.60/3.98 maxdepth = 30000
% 3.60/3.98 maxlength = 115
% 3.60/3.98 maxnrvars = 195
% 3.60/3.98 excuselevel = 1
% 3.60/3.98 increasemaxweight = 1
% 3.60/3.98
% 3.60/3.98 maxselected = 10000000
% 3.60/3.98 maxnrclauses = 10000000
% 3.60/3.98
% 3.60/3.98 showgenerated = 0
% 3.60/3.98 showkept = 0
% 3.60/3.98 showselected = 0
% 3.60/3.98 showdeleted = 0
% 3.60/3.98 showresimp = 1
% 3.60/3.98 showstatus = 2000
% 3.60/3.98
% 3.60/3.98 prologoutput = 0
% 3.60/3.98 nrgoals = 5000000
% 3.60/3.98 totalproof = 1
% 3.60/3.98
% 3.60/3.98 Symbols occurring in the translation:
% 3.60/3.98
% 3.60/3.98 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 3.60/3.98 . [1, 2] (w:1, o:19, a:1, s:1, b:0),
% 3.60/3.98 && [3, 0] (w:1, o:4, a:1, s:1, b:0),
% 3.60/3.98 ! [4, 1] (w:0, o:13, a:1, s:1, b:0),
% 3.60/3.98 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 3.60/3.98 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 3.60/3.98 aNaturalNumber0 [36, 1] (w:1, o:18, a:1, s:1, b:0),
% 3.60/3.98 sz00 [37, 0] (w:1, o:7, a:1, s:1, b:0),
% 3.60/3.98 sz10 [38, 0] (w:1, o:8, a:1, s:1, b:0),
% 3.60/3.98 sdtpldt0 [40, 2] (w:1, o:43, a:1, s:1, b:0),
% 3.60/3.98 sdtasdt0 [41, 2] (w:1, o:44, a:1, s:1, b:0),
% 3.60/3.98 sdtlseqdt0 [43, 2] (w:1, o:45, a:1, s:1, b:0),
% 3.60/3.98 sdtmndt0 [44, 2] (w:1, o:46, a:1, s:1, b:0),
% 3.60/3.98 xm [45, 0] (w:1, o:11, a:1, s:1, b:0),
% 3.60/3.98 xn [46, 0] (w:1, o:12, a:1, s:1, b:0),
% 3.60/3.98 alpha1 [47, 3] (w:1, o:48, a:1, s:1, b:1),
% 3.60/3.98 alpha2 [48, 3] (w:1, o:49, a:1, s:1, b:1),
% 3.60/3.98 skol1 [49, 2] (w:1, o:47, a:1, s:1, b:1).
% 3.60/3.98
% 3.60/3.98
% 3.60/3.98 Starting Search:
% 3.60/3.98
% 3.60/3.98 *** allocated 15000 integers for clauses
% 3.60/3.98 *** allocated 22500 integers for clauses
% 3.60/3.98 *** allocated 33750 integers for clauses
% 3.60/3.98 *** allocated 50625 integers for clauses
% 3.60/3.98 *** allocated 15000 integers for termspace/termends
% 3.60/3.98 *** allocated 75937 integers for clauses
% 3.60/3.98 Resimplifying inuse:
% 3.60/3.98 Done
% 3.60/3.98
% 3.60/3.98 *** allocated 22500 integers for termspace/termends
% 3.60/3.98 *** allocated 113905 integers for clauses
% 3.60/3.98 *** allocated 33750 integers for termspace/termends
% 3.60/3.98 *** allocated 170857 integers for clauses
% 3.60/3.98
% 3.60/3.98 Intermediate Status:
% 3.60/3.98 Generated: 9601
% 3.60/3.98 Kept: 2016
% 3.60/3.98 Inuse: 103
% 3.60/3.98 Deleted: 9
% 3.60/3.98 Deletedinuse: 9
% 3.60/3.98
% 3.60/3.98 Resimplifying inuse:
% 3.60/3.98 Done
% 3.60/3.98
% 3.60/3.98 *** allocated 50625 integers for termspace/termends
% 3.60/3.98 *** allocated 256285 integers for clauses
% 3.60/3.98 Resimplifying inuse:
% 3.60/3.98 Done
% 3.60/3.98
% 3.60/3.98 *** allocated 75937 integers for termspace/termends
% 3.60/3.98
% 3.60/3.98 Intermediate Status:
% 3.60/3.98 Generated: 24582
% 3.60/3.98 Kept: 4044
% 3.60/3.98 Inuse: 161
% 3.60/3.98 Deleted: 14
% 3.60/3.98 Deletedinuse: 9
% 3.60/3.98
% 3.60/3.98 Resimplifying inuse:
% 3.60/3.98 Done
% 3.60/3.98
% 3.60/3.98 *** allocated 384427 integers for clauses
% 3.60/3.98 *** allocated 113905 integers for termspace/termends
% 3.60/3.98 Resimplifying inuse:
% 3.60/3.98 Done
% 3.60/3.98
% 3.60/3.98
% 3.60/3.98 Intermediate Status:
% 3.60/3.98 Generated: 47531
% 3.60/3.98 Kept: 6051
% 3.60/3.98 Inuse: 202
% 3.60/3.98 Deleted: 21
% 3.60/3.98 Deletedinuse: 11
% 3.60/3.98
% 3.60/3.98 Resimplifying inuse:
% 3.60/3.98 Done
% 3.60/3.98
% 3.60/3.98 *** allocated 170857 integers for termspace/termends
% 3.60/3.98 Resimplifying inuse:
% 3.60/3.98 Done
% 3.60/3.98
% 3.60/3.98 *** allocated 576640 integers for clauses
% 3.60/3.98
% 3.60/3.98 Intermediate Status:
% 3.60/3.98 Generated: 68778
% 3.60/3.98 Kept: 8054
% 3.60/3.98 Inuse: 266
% 3.60/3.98 Deleted: 36
% 3.60/3.98 Deletedinuse: 12
% 3.60/3.98
% 3.60/3.98 Resimplifying inuse:
% 3.60/3.98 Done
% 3.60/3.98
% 3.60/3.98
% 3.60/3.98 Bliksems!, er is een bewijs:
% 3.60/3.98 % SZS status Theorem
% 3.60/3.98 % SZS output start Refutation
% 3.60/3.98
% 3.60/3.98 (2) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( sz10 ) }.
% 3.60/3.98 (20) {G0,W19,D3,L6,V3,M6} I { ! aNaturalNumber0( X ), X = sz00, !
% 3.60/3.98 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! sdtasdt0( X, Y ) =
% 3.60/3.98 sdtasdt0( X, Z ), Y = Z }.
% 3.60/3.98 (34) {G0,W10,D2,L4,V2,M4} I { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 3.60/3.98 ), sdtlseqdt0( X, Y ), ! Y = X }.
% 3.60/3.98 (49) {G0,W11,D2,L4,V1,M4} I { ! aNaturalNumber0( X ), X = sz00, X = sz10,
% 3.60/3.98 sdtlseqdt0( sz10, X ) }.
% 3.60/3.98 (50) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xm ) }.
% 3.60/3.98 (52) {G0,W3,D2,L1,V0,M1} I { ! xm ==> sz00 }.
% 3.60/3.98 (54) {G0,W3,D2,L1,V0,M1} I { ! sdtlseqdt0( sz10, xm ) }.
% 3.60/3.98 (75) {G1,W17,D3,L5,V2,M5} F(20) { ! aNaturalNumber0( X ), X = sz00, !
% 3.60/3.98 aNaturalNumber0( Y ), ! sdtasdt0( X, X ) = sdtasdt0( X, Y ), X = Y }.
% 3.60/3.98 (3660) {G1,W8,D2,L3,V1,M3} R(34,2) { ! aNaturalNumber0( X ), sdtlseqdt0(
% 3.60/3.98 sz10, X ), ! X = sz10 }.
% 3.60/3.98 (6966) {G2,W8,D2,L3,V1,M3} S(49);r(3660) { ! aNaturalNumber0( X ), X = sz00
% 3.60/3.98 , sdtlseqdt0( sz10, X ) }.
% 3.60/3.98 (9181) {G3,W14,D3,L4,V1,M4} P(75,54);r(6966) { ! aNaturalNumber0( X ), X =
% 3.60/3.98 sz00, ! aNaturalNumber0( xm ), ! sdtasdt0( X, X ) = sdtasdt0( X, xm ) }.
% 3.60/3.98 (9182) {G4,W3,D2,L1,V0,M1} F(9181);q;r(50) { xm ==> sz00 }.
% 3.60/3.98 (9189) {G5,W0,D0,L0,V0,M0} S(9182);r(52) { }.
% 3.60/3.98
% 3.60/3.98
% 3.60/3.98 % SZS output end Refutation
% 3.60/3.98 found a proof!
% 3.60/3.98
% 3.60/3.98
% 3.60/3.98 Unprocessed initial clauses:
% 3.60/3.98
% 3.60/3.98 (9191) {G0,W1,D1,L1,V0,M1} { && }.
% 3.60/3.98 (9192) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( sz00 ) }.
% 3.60/3.98 (9193) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( sz10 ) }.
% 3.60/3.98 (9194) {G0,W3,D2,L1,V0,M1} { ! sz10 = sz00 }.
% 3.60/3.98 (9195) {G0,W8,D3,L3,V2,M3} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 3.60/3.98 ), aNaturalNumber0( sdtpldt0( X, Y ) ) }.
% 3.60/3.98 (9196) {G0,W8,D3,L3,V2,M3} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 3.60/3.98 ), aNaturalNumber0( sdtasdt0( X, Y ) ) }.
% 3.60/3.98 (9197) {G0,W11,D3,L3,V2,M3} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 3.60/3.98 ), sdtpldt0( X, Y ) = sdtpldt0( Y, X ) }.
% 3.60/3.98 (9198) {G0,W17,D4,L4,V3,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 3.60/3.98 ), ! aNaturalNumber0( Z ), sdtpldt0( sdtpldt0( X, Y ), Z ) = sdtpldt0( X
% 3.60/3.98 , sdtpldt0( Y, Z ) ) }.
% 3.60/3.98 (9199) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), sdtpldt0( X, sz00 ) =
% 3.60/3.98 X }.
% 3.60/3.98 (9200) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), X = sdtpldt0( sz00, X
% 3.60/3.98 ) }.
% 3.60/3.98 (9201) {G0,W11,D3,L3,V2,M3} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 3.60/3.98 ), sdtasdt0( X, Y ) = sdtasdt0( Y, X ) }.
% 3.60/3.98 (9202) {G0,W17,D4,L4,V3,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 3.60/3.98 ), ! aNaturalNumber0( Z ), sdtasdt0( sdtasdt0( X, Y ), Z ) = sdtasdt0( X
% 3.60/3.98 , sdtasdt0( Y, Z ) ) }.
% 3.60/3.98 (9203) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), sdtasdt0( X, sz10 ) =
% 3.60/3.98 X }.
% 3.60/3.98 (9204) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), X = sdtasdt0( sz10, X
% 3.60/3.98 ) }.
% 3.60/3.98 (9205) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), sdtasdt0( X, sz00 ) =
% 3.60/3.98 sz00 }.
% 3.60/3.98 (9206) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), sz00 = sdtasdt0( sz00
% 3.60/3.98 , X ) }.
% 3.60/3.98 (9207) {G0,W19,D4,L4,V3,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 3.60/3.98 ), ! aNaturalNumber0( Z ), sdtasdt0( X, sdtpldt0( Y, Z ) ) = sdtpldt0(
% 3.60/3.98 sdtasdt0( X, Y ), sdtasdt0( X, Z ) ) }.
% 3.60/3.98 (9208) {G0,W19,D4,L4,V3,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 3.60/3.98 ), ! aNaturalNumber0( Z ), sdtasdt0( sdtpldt0( Y, Z ), X ) = sdtpldt0(
% 3.60/3.98 sdtasdt0( Y, X ), sdtasdt0( Z, X ) ) }.
% 3.60/3.98 (9209) {G0,W16,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 3.60/3.98 ), ! aNaturalNumber0( Z ), ! sdtpldt0( X, Y ) = sdtpldt0( X, Z ), Y = Z
% 3.60/3.98 }.
% 3.60/3.98 (9210) {G0,W16,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 3.60/3.98 ), ! aNaturalNumber0( Z ), ! sdtpldt0( Y, X ) = sdtpldt0( Z, X ), Y = Z
% 3.60/3.98 }.
% 3.60/3.98 (9211) {G0,W19,D3,L6,V3,M6} { ! aNaturalNumber0( X ), X = sz00, !
% 3.60/3.98 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! sdtasdt0( X, Y ) =
% 3.60/3.98 sdtasdt0( X, Z ), Y = Z }.
% 3.60/3.98 (9212) {G0,W19,D3,L6,V3,M6} { ! aNaturalNumber0( X ), X = sz00, !
% 3.60/3.98 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! sdtasdt0( Y, X ) =
% 3.60/3.98 sdtasdt0( Z, X ), Y = Z }.
% 3.60/3.98 (9213) {G0,W12,D3,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 3.60/3.98 ), ! sdtpldt0( X, Y ) = sz00, X = sz00 }.
% 3.60/3.98 (9214) {G0,W12,D3,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 3.60/3.98 ), ! sdtpldt0( X, Y ) = sz00, Y = sz00 }.
% 3.60/3.98 (9215) {G0,W15,D3,L5,V2,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 3.60/3.98 ), ! sdtasdt0( X, Y ) = sz00, X = sz00, Y = sz00 }.
% 3.60/3.98 (9216) {G0,W11,D3,L4,V4,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 3.60/3.98 ), ! sdtlseqdt0( X, Y ), aNaturalNumber0( skol1( Z, T ) ) }.
% 3.60/3.98 (9217) {G0,W14,D4,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 3.60/3.98 ), ! sdtlseqdt0( X, Y ), sdtpldt0( X, skol1( X, Y ) ) = Y }.
% 3.60/3.98 (9218) {G0,W14,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 3.60/3.98 ), ! aNaturalNumber0( Z ), ! sdtpldt0( X, Z ) = Y, sdtlseqdt0( X, Y )
% 3.60/3.98 }.
% 3.60/3.98 (9219) {G0,W14,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 3.60/3.98 ), ! sdtlseqdt0( X, Y ), ! Z = sdtmndt0( Y, X ), aNaturalNumber0( Z )
% 3.60/3.98 }.
% 3.60/3.98 (9220) {G0,W17,D3,L5,V3,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 3.60/3.98 ), ! sdtlseqdt0( X, Y ), ! Z = sdtmndt0( Y, X ), sdtpldt0( X, Z ) = Y
% 3.60/3.98 }.
% 3.60/3.98 (9221) {G0,W19,D3,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 3.60/3.98 ), ! sdtlseqdt0( X, Y ), ! aNaturalNumber0( Z ), ! sdtpldt0( X, Z ) = Y
% 3.60/3.98 , Z = sdtmndt0( Y, X ) }.
% 3.60/3.98 (9222) {G0,W5,D2,L2,V1,M2} { ! aNaturalNumber0( X ), sdtlseqdt0( X, X )
% 3.60/3.98 }.
% 3.60/3.98 (9223) {G0,W13,D2,L5,V2,M5} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 3.60/3.98 ), ! sdtlseqdt0( X, Y ), ! sdtlseqdt0( Y, X ), X = Y }.
% 3.60/3.98 (9224) {G0,W15,D2,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 3.60/3.98 ), ! aNaturalNumber0( Z ), ! sdtlseqdt0( X, Y ), ! sdtlseqdt0( Y, Z ),
% 3.60/3.98 sdtlseqdt0( X, Z ) }.
% 3.60/3.98 (9225) {G0,W10,D2,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 3.60/3.98 ), sdtlseqdt0( X, Y ), ! Y = X }.
% 3.60/3.98 (9226) {G0,W10,D2,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 3.60/3.98 ), sdtlseqdt0( X, Y ), sdtlseqdt0( Y, X ) }.
% 3.60/3.98 (9227) {G0,W16,D2,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 3.60/3.98 ), X = Y, ! sdtlseqdt0( X, Y ), ! aNaturalNumber0( Z ), alpha1( X, Y, Z
% 3.60/3.98 ) }.
% 3.60/3.98 (9228) {G0,W19,D3,L6,V3,M6} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 3.60/3.98 ), X = Y, ! sdtlseqdt0( X, Y ), ! aNaturalNumber0( Z ), sdtlseqdt0(
% 3.60/3.98 sdtpldt0( X, Z ), sdtpldt0( Y, Z ) ) }.
% 3.60/3.98 (9229) {G0,W11,D3,L2,V3,M2} { ! alpha1( X, Y, Z ), ! sdtpldt0( Z, X ) =
% 3.60/3.98 sdtpldt0( Z, Y ) }.
% 3.60/3.98 (9230) {G0,W11,D3,L2,V3,M2} { ! alpha1( X, Y, Z ), sdtlseqdt0( sdtpldt0( Z
% 3.60/3.98 , X ), sdtpldt0( Z, Y ) ) }.
% 3.60/3.98 (9231) {G0,W11,D3,L2,V3,M2} { ! alpha1( X, Y, Z ), ! sdtpldt0( X, Z ) =
% 3.60/3.98 sdtpldt0( Y, Z ) }.
% 3.60/3.98 (9232) {G0,W25,D3,L4,V3,M4} { sdtpldt0( Z, X ) = sdtpldt0( Z, Y ), !
% 3.60/3.98 sdtlseqdt0( sdtpldt0( Z, X ), sdtpldt0( Z, Y ) ), sdtpldt0( X, Z ) =
% 3.60/3.98 sdtpldt0( Y, Z ), alpha1( X, Y, Z ) }.
% 3.60/3.98 (9233) {G0,W19,D2,L7,V3,M7} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 3.60/3.98 ), ! aNaturalNumber0( Z ), X = sz00, Y = Z, ! sdtlseqdt0( Y, Z ), alpha2
% 3.60/3.98 ( X, Y, Z ) }.
% 3.60/3.98 (9234) {G0,W22,D3,L7,V3,M7} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 3.60/3.98 ), ! aNaturalNumber0( Z ), X = sz00, Y = Z, ! sdtlseqdt0( Y, Z ),
% 3.60/3.98 sdtlseqdt0( sdtasdt0( Y, X ), sdtasdt0( Z, X ) ) }.
% 3.60/3.98 (9235) {G0,W11,D3,L2,V3,M2} { ! alpha2( X, Y, Z ), ! sdtasdt0( X, Y ) =
% 3.60/3.98 sdtasdt0( X, Z ) }.
% 3.60/3.98 (9236) {G0,W11,D3,L2,V3,M2} { ! alpha2( X, Y, Z ), sdtlseqdt0( sdtasdt0( X
% 3.60/3.98 , Y ), sdtasdt0( X, Z ) ) }.
% 3.60/3.98 (9237) {G0,W11,D3,L2,V3,M2} { ! alpha2( X, Y, Z ), ! sdtasdt0( Y, X ) =
% 3.60/3.98 sdtasdt0( Z, X ) }.
% 3.60/3.98 (9238) {G0,W25,D3,L4,V3,M4} { sdtasdt0( X, Y ) = sdtasdt0( X, Z ), !
% 3.60/3.98 sdtlseqdt0( sdtasdt0( X, Y ), sdtasdt0( X, Z ) ), sdtasdt0( Y, X ) =
% 3.60/3.98 sdtasdt0( Z, X ), alpha2( X, Y, Z ) }.
% 3.60/3.98 (9239) {G0,W11,D2,L4,V1,M4} { ! aNaturalNumber0( X ), X = sz00, X = sz10,
% 3.60/3.98 ! sz10 = X }.
% 3.60/3.98 (9240) {G0,W11,D2,L4,V1,M4} { ! aNaturalNumber0( X ), X = sz00, X = sz10,
% 3.60/3.99 sdtlseqdt0( sz10, X ) }.
% 3.60/3.99 (9241) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( xm ) }.
% 3.60/3.99 (9242) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( xn ) }.
% 3.60/3.99 (9243) {G0,W3,D2,L1,V0,M1} { ! xm = sz00 }.
% 3.60/3.99 (9244) {G0,W7,D3,L2,V1,M2} { ! aNaturalNumber0( X ), ! sdtpldt0( sz10, X )
% 3.60/3.99 = xm }.
% 3.60/3.99 (9245) {G0,W3,D2,L1,V0,M1} { ! sdtlseqdt0( sz10, xm ) }.
% 3.60/3.99
% 3.60/3.99
% 3.60/3.99 Total Proof:
% 3.60/3.99
% 3.60/3.99 subsumption: (2) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( sz10 ) }.
% 3.60/3.99 parent0: (9193) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( sz10 ) }.
% 3.60/3.99 substitution0:
% 3.60/3.99 end
% 3.60/3.99 permutation0:
% 3.60/3.99 0 ==> 0
% 3.60/3.99 end
% 3.60/3.99
% 3.60/3.99 subsumption: (20) {G0,W19,D3,L6,V3,M6} I { ! aNaturalNumber0( X ), X = sz00
% 3.60/3.99 , ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! sdtasdt0( X, Y ) =
% 3.60/3.99 sdtasdt0( X, Z ), Y = Z }.
% 3.60/3.99 parent0: (9211) {G0,W19,D3,L6,V3,M6} { ! aNaturalNumber0( X ), X = sz00, !
% 3.60/3.99 aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! sdtasdt0( X, Y ) =
% 3.60/3.99 sdtasdt0( X, Z ), Y = Z }.
% 3.60/3.99 substitution0:
% 3.60/3.99 X := X
% 3.60/3.99 Y := Y
% 3.60/3.99 Z := Z
% 3.60/3.99 end
% 3.60/3.99 permutation0:
% 3.60/3.99 0 ==> 0
% 3.60/3.99 1 ==> 1
% 3.60/3.99 2 ==> 2
% 3.60/3.99 3 ==> 3
% 3.60/3.99 4 ==> 4
% 3.60/3.99 5 ==> 5
% 3.60/3.99 end
% 3.60/3.99
% 3.60/3.99 subsumption: (34) {G0,W10,D2,L4,V2,M4} I { ! aNaturalNumber0( X ), !
% 3.60/3.99 aNaturalNumber0( Y ), sdtlseqdt0( X, Y ), ! Y = X }.
% 3.60/3.99 parent0: (9225) {G0,W10,D2,L4,V2,M4} { ! aNaturalNumber0( X ), !
% 3.60/3.99 aNaturalNumber0( Y ), sdtlseqdt0( X, Y ), ! Y = X }.
% 3.60/3.99 substitution0:
% 3.60/3.99 X := X
% 3.60/3.99 Y := Y
% 3.60/3.99 end
% 3.60/3.99 permutation0:
% 3.60/3.99 0 ==> 0
% 3.60/3.99 1 ==> 1
% 3.60/3.99 2 ==> 2
% 3.60/3.99 3 ==> 3
% 3.60/3.99 end
% 3.60/3.99
% 3.60/3.99 subsumption: (49) {G0,W11,D2,L4,V1,M4} I { ! aNaturalNumber0( X ), X = sz00
% 3.60/3.99 , X = sz10, sdtlseqdt0( sz10, X ) }.
% 3.60/3.99 parent0: (9240) {G0,W11,D2,L4,V1,M4} { ! aNaturalNumber0( X ), X = sz00, X
% 3.60/3.99 = sz10, sdtlseqdt0( sz10, X ) }.
% 3.60/3.99 substitution0:
% 3.60/3.99 X := X
% 3.60/3.99 end
% 3.60/3.99 permutation0:
% 3.60/3.99 0 ==> 0
% 3.60/3.99 1 ==> 1
% 3.60/3.99 2 ==> 2
% 3.60/3.99 3 ==> 3
% 3.60/3.99 end
% 3.60/3.99
% 3.60/3.99 subsumption: (50) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( xm ) }.
% 3.60/3.99 parent0: (9241) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( xm ) }.
% 3.60/3.99 substitution0:
% 3.60/3.99 end
% 3.60/3.99 permutation0:
% 3.60/3.99 0 ==> 0
% 3.60/3.99 end
% 3.60/3.99
% 3.60/3.99 *** allocated 256285 integers for termspace/termends
% 3.60/3.99 subsumption: (52) {G0,W3,D2,L1,V0,M1} I { ! xm ==> sz00 }.
% 3.60/3.99 parent0: (9243) {G0,W3,D2,L1,V0,M1} { ! xm = sz00 }.
% 3.60/3.99 substitution0:
% 3.60/3.99 end
% 3.60/3.99 permutation0:
% 3.60/3.99 0 ==> 0
% 3.60/3.99 end
% 3.60/3.99
% 3.60/3.99 subsumption: (54) {G0,W3,D2,L1,V0,M1} I { ! sdtlseqdt0( sz10, xm ) }.
% 3.60/3.99 parent0: (9245) {G0,W3,D2,L1,V0,M1} { ! sdtlseqdt0( sz10, xm ) }.
% 3.60/3.99 substitution0:
% 3.60/3.99 end
% 3.60/3.99 permutation0:
% 3.60/3.99 0 ==> 0
% 3.60/3.99 end
% 3.60/3.99
% 3.60/3.99 factor: (10661) {G0,W17,D3,L5,V2,M5} { ! aNaturalNumber0( X ), X = sz00, !
% 3.60/3.99 aNaturalNumber0( Y ), ! sdtasdt0( X, X ) = sdtasdt0( X, Y ), X = Y }.
% 3.60/3.99 parent0[0, 2]: (20) {G0,W19,D3,L6,V3,M6} I { ! aNaturalNumber0( X ), X =
% 3.60/3.99 sz00, ! aNaturalNumber0( Y ), ! aNaturalNumber0( Z ), ! sdtasdt0( X, Y )
% 3.60/3.99 = sdtasdt0( X, Z ), Y = Z }.
% 3.60/3.99 substitution0:
% 3.60/3.99 X := X
% 3.60/3.99 Y := X
% 3.60/3.99 Z := Y
% 3.60/3.99 end
% 3.60/3.99
% 3.60/3.99 subsumption: (75) {G1,W17,D3,L5,V2,M5} F(20) { ! aNaturalNumber0( X ), X =
% 3.60/3.99 sz00, ! aNaturalNumber0( Y ), ! sdtasdt0( X, X ) = sdtasdt0( X, Y ), X =
% 3.60/3.99 Y }.
% 3.60/3.99 parent0: (10661) {G0,W17,D3,L5,V2,M5} { ! aNaturalNumber0( X ), X = sz00,
% 3.60/3.99 ! aNaturalNumber0( Y ), ! sdtasdt0( X, X ) = sdtasdt0( X, Y ), X = Y }.
% 3.60/3.99 substitution0:
% 3.60/3.99 X := X
% 3.60/3.99 Y := Y
% 3.60/3.99 end
% 3.60/3.99 permutation0:
% 3.60/3.99 0 ==> 0
% 3.60/3.99 1 ==> 1
% 3.60/3.99 2 ==> 2
% 3.60/3.99 3 ==> 3
% 3.60/3.99 4 ==> 4
% 3.60/3.99 end
% 3.60/3.99
% 3.60/3.99 eqswap: (10683) {G0,W10,D2,L4,V2,M4} { ! Y = X, ! aNaturalNumber0( Y ), !
% 3.60/3.99 aNaturalNumber0( X ), sdtlseqdt0( Y, X ) }.
% 3.60/3.99 parent0[3]: (34) {G0,W10,D2,L4,V2,M4} I { ! aNaturalNumber0( X ), !
% 3.60/3.99 aNaturalNumber0( Y ), sdtlseqdt0( X, Y ), ! Y = X }.
% 3.60/3.99 substitution0:
% 3.60/3.99 X := Y
% 3.60/3.99 Y := X
% 3.60/3.99 end
% 3.60/3.99
% 3.60/3.99 resolution: (10684) {G1,W8,D2,L3,V1,M3} { ! sz10 = X, ! aNaturalNumber0( X
% 3.60/3.99 ), sdtlseqdt0( sz10, X ) }.
% 3.60/3.99 parent0[1]: (10683) {G0,W10,D2,L4,V2,M4} { ! Y = X, ! aNaturalNumber0( Y )
% 3.60/3.99 , ! aNaturalNumber0( X ), sdtlseqdt0( Y, X ) }.
% 3.60/3.99 parent1[0]: (2) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( sz10 ) }.
% 3.60/3.99 substitution0:
% 3.60/3.99 X := X
% 3.60/3.99 Y := sz10
% 3.60/3.99 end
% 3.60/3.99 substitution1:
% 3.60/3.99 end
% 3.60/3.99
% 3.60/3.99 eqswap: (10687) {G1,W8,D2,L3,V1,M3} { ! X = sz10, ! aNaturalNumber0( X ),
% 3.60/3.99 sdtlseqdt0( sz10, X ) }.
% 3.60/3.99 parent0[0]: (10684) {G1,W8,D2,L3,V1,M3} { ! sz10 = X, ! aNaturalNumber0( X
% 3.60/3.99 ), sdtlseqdt0( sz10, X ) }.
% 3.60/3.99 substitution0:
% 3.60/3.99 X := X
% 3.60/3.99 end
% 3.60/3.99
% 3.60/3.99 subsumption: (3660) {G1,W8,D2,L3,V1,M3} R(34,2) { ! aNaturalNumber0( X ),
% 3.60/3.99 sdtlseqdt0( sz10, X ), ! X = sz10 }.
% 3.60/3.99 parent0:Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------