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	n138.star.cs.uiowa.edu
space	Maude_06

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	2.08501 seconds
cpu usage	5.2578
user time	5.0296
system time	0.228208
max virtual memory	1.8410264E7
max residence set size	331204.0

stage attributes

key	value
starexec-result	YES

output

4.88/1.94 YES 4.88/1.95 proof of /export/starexec/sandbox/benchmark/theBenchmark.xml 4.88/1.95 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 4.88/1.95 4.88/1.95 4.88/1.95 Termination of the given CSR could be proven: 4.88/1.95 4.88/1.95 (0) CSR 4.88/1.95 (1) CSRRRRProof [EQUIVALENT, 55 ms] 4.88/1.95 (2) CSR 4.88/1.95 (3) CSRRRRProof [EQUIVALENT, 0 ms] 4.88/1.95 (4) CSR 4.88/1.95 (5) CSRRRRProof [EQUIVALENT, 9 ms] 4.88/1.95 (6) CSR 4.88/1.95 (7) CSRRRRProof [EQUIVALENT, 3 ms] 4.88/1.95 (8) CSR 4.88/1.95 (9) CSRRRRProof [EQUIVALENT, 0 ms] 4.88/1.95 (10) CSR 4.88/1.95 (11) CSRRRRProof [EQUIVALENT, 11 ms] 4.88/1.95 (12) CSR 4.88/1.95 (13) CSRRRRProof [EQUIVALENT, 0 ms] 4.88/1.95 (14) CSR 4.88/1.95 (15) CSRRRRProof [EQUIVALENT, 0 ms] 4.88/1.95 (16) CSR 4.88/1.95 (17) CSRRRRProof [EQUIVALENT, 3 ms] 4.88/1.95 (18) CSR 4.88/1.95 (19) CSRRRRProof [EQUIVALENT, 0 ms] 4.88/1.95 (20) CSR 4.88/1.95 (21) RisEmptyProof [EQUIVALENT, 0 ms] 4.88/1.95 (22) YES 4.88/1.95 4.88/1.95 4.88/1.95 ---------------------------------------- 4.88/1.95 4.88/1.95 (0) 4.88/1.95 Obligation: 4.88/1.95 Context-sensitive rewrite system: 4.88/1.95 The TRS R consists of the following rules: 4.88/1.95 4.88/1.95 U11(tt, V1, V2) -> U12(isNat(V1), V2) 4.88/1.95 U12(tt, V2) -> U13(isNat(V2)) 4.88/1.95 U13(tt) -> tt 4.88/1.95 U21(tt, V1) -> U22(isNat(V1)) 4.88/1.95 U22(tt) -> tt 4.88/1.95 U31(tt, N) -> N 4.88/1.95 U41(tt, M, N) -> s(plus(N, M)) 4.88/1.95 and(tt, X) -> X 4.88/1.95 isNat(0) -> tt 4.88/1.95 isNat(plus(V1, V2)) -> U11(and(isNatKind(V1), isNatKind(V2)), V1, V2) 4.88/1.95 isNat(s(V1)) -> U21(isNatKind(V1), V1) 4.88/1.95 isNatKind(0) -> tt 4.88/1.95 isNatKind(plus(V1, V2)) -> and(isNatKind(V1), isNatKind(V2)) 4.88/1.95 isNatKind(s(V1)) -> isNatKind(V1) 4.88/1.95 plus(N, 0) -> U31(and(isNat(N), isNatKind(N)), N) 4.88/1.95 plus(N, s(M)) -> U41(and(and(isNat(M), isNatKind(M)), and(isNat(N), isNatKind(N))), M, N) 4.88/1.95 4.88/1.95 The replacement map contains the following entries: 4.88/1.95 4.88/1.95 U11: {1} 4.88/1.95 tt: empty set 4.88/1.95 U12: {1} 4.88/1.95 isNat: empty set 4.88/1.95 U13: {1} 4.88/1.95 U21: {1} 4.88/1.95 U22: {1} 4.88/1.95 U31: {1} 4.88/1.95 U41: {1} 4.88/1.95 s: {1} 4.88/1.95 plus: {1, 2} 4.88/1.95 and: {1} 4.88/1.95 0: empty set 4.88/1.95 isNatKind: empty set 4.88/1.95 4.88/1.95 ---------------------------------------- 4.88/1.95 4.88/1.95 (1) CSRRRRProof (EQUIVALENT) 4.88/1.95 The following CSR is given: Context-sensitive rewrite system: 4.88/1.95 The TRS R consists of the following rules: 4.88/1.95 4.88/1.95 U11(tt, V1, V2) -> U12(isNat(V1), V2) 4.88/1.95 U12(tt, V2) -> U13(isNat(V2)) 4.88/1.95 U13(tt) -> tt 4.88/1.95 U21(tt, V1) -> U22(isNat(V1)) 4.88/1.95 U22(tt) -> tt 4.88/1.95 U31(tt, N) -> N 4.88/1.95 U41(tt, M, N) -> s(plus(N, M)) 4.88/1.95 and(tt, X) -> X 4.88/1.95 isNat(0) -> tt 4.88/1.95 isNat(plus(V1, V2)) -> U11(and(isNatKind(V1), isNatKind(V2)), V1, V2) 4.88/1.95 isNat(s(V1)) -> U21(isNatKind(V1), V1) 4.88/1.95 isNatKind(0) -> tt 4.88/1.95 isNatKind(plus(V1, V2)) -> and(isNatKind(V1), isNatKind(V2)) 4.88/1.95 isNatKind(s(V1)) -> isNatKind(V1) 4.88/1.95 plus(N, 0) -> U31(and(isNat(N), isNatKind(N)), N) 4.88/1.95 plus(N, s(M)) -> U41(and(and(isNat(M), isNatKind(M)), and(isNat(N), isNatKind(N))), M, N) 4.88/1.95 4.88/1.95 The replacement map contains the following entries: 4.88/1.95 4.88/1.95 U11: {1} 4.88/1.95 tt: empty set popout

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job log

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actions

all output return to TRS_Contextsensitive 2019-03-21 05.07