details

property	value
status	complete
benchmark	MYNAT_complete-peanoSimple.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n142.star.cs.uiowa.edu
space	Maude_06

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	1.92979 seconds
cpu usage	4.96619
user time	4.75799
system time	0.208202
max virtual memory	1.8407092E7
max residence set size	303464.0

stage attributes

key	value
starexec-result	YES

output

YES proof of /export/starexec/sandbox/benchmark/theBenchmark.xml # AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty Termination of the given CSR could be proven: (0) CSR (1) CSRRRRProof [EQUIVALENT, 46 ms] (2) CSR (3) CSRRRRProof [EQUIVALENT, 1 ms] (4) CSR (5) CSRRRRProof [EQUIVALENT, 31 ms] (6) CSR (7) CSRRRRProof [EQUIVALENT, 0 ms] (8) CSR (9) CSRRRRProof [EQUIVALENT, 0 ms] (10) CSR (11) CSRRRRProof [EQUIVALENT, 0 ms] (12) CSR (13) CSRRRRProof [EQUIVALENT, 0 ms] (14) CSR (15) CSRRRRProof [EQUIVALENT, 0 ms] (16) CSR (17) CSRRRRProof [EQUIVALENT, 7 ms] (18) CSR (19) CSRRRRProof [EQUIVALENT, 0 ms] (20) CSR (21) RisEmptyProof [EQUIVALENT, 0 ms] (22) YES ---------------------------------------- (0) Obligation: Context-sensitive rewrite system: The TRS R consists of the following rules: U11(tt, V1, V2) -> U12(isNat(V1), V2) U12(tt, V2) -> U13(isNat(V2)) U13(tt) -> tt U21(tt, V1) -> U22(isNat(V1)) U22(tt) -> tt U31(tt, N) -> N U41(tt, M, N) -> s(plus(N, M)) and(tt, X) -> X isNat(0) -> tt isNat(plus(V1, V2)) -> U11(and(isNatKind(V1), isNatKind(V2)), V1, V2) isNat(s(V1)) -> U21(isNatKind(V1), V1) isNatKind(0) -> tt isNatKind(plus(V1, V2)) -> and(isNatKind(V1), isNatKind(V2)) isNatKind(s(V1)) -> isNatKind(V1) plus(N, 0) -> U31(and(isNat(N), isNatKind(N)), N) plus(N, s(M)) -> U41(and(and(isNat(M), isNatKind(M)), and(isNat(N), isNatKind(N))), M, N) The replacement map contains the following entries: U11: {1} tt: empty set U12: {1} isNat: empty set U13: {1} U21: {1} U22: {1} U31: {1} U41: {1} s: {1} plus: {1, 2} and: {1} 0: empty set isNatKind: empty set ---------------------------------------- (1) CSRRRRProof (EQUIVALENT) The following CSR is given: Context-sensitive rewrite system: The TRS R consists of the following rules: U11(tt, V1, V2) -> U12(isNat(V1), V2) U12(tt, V2) -> U13(isNat(V2)) U13(tt) -> tt U21(tt, V1) -> U22(isNat(V1)) U22(tt) -> tt U31(tt, N) -> N U41(tt, M, N) -> s(plus(N, M)) and(tt, X) -> X isNat(0) -> tt isNat(plus(V1, V2)) -> U11(and(isNatKind(V1), isNatKind(V2)), V1, V2) isNat(s(V1)) -> U21(isNatKind(V1), V1) isNatKind(0) -> tt isNatKind(plus(V1, V2)) -> and(isNatKind(V1), isNatKind(V2)) isNatKind(s(V1)) -> isNatKind(V1) plus(N, 0) -> U31(and(isNat(N), isNatKind(N)), N) plus(N, s(M)) -> U41(and(and(isNat(M), isNatKind(M)), and(isNat(N), isNatKind(N))), M, N) The replacement map contains the following entries: U11: {1} tt: empty set popout

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actions

all output return to TRS Contextsensitive