details

property	value
status	complete
benchmark	MYNAT_nokinds-noand-peanoSimple.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n045.star.cs.uiowa.edu
space	Maude_06

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	1.66835 seconds
cpu usage	3.75336
user time	3.5612
system time	0.192152
max virtual memory	1.8407068E7
max residence set size	246888.0

stage attributes

key	value
starexec-result	YES

output

3.67/1.63 YES 3.67/1.64 proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml 3.67/1.64 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 3.67/1.64 3.67/1.64 3.67/1.64 Termination of the given CSR could be proven: 3.67/1.64 3.67/1.64 (0) CSR 3.67/1.64 (1) CSRRRRProof [EQUIVALENT, 55 ms] 3.67/1.64 (2) CSR 3.67/1.64 (3) CSRRRRProof [EQUIVALENT, 10 ms] 3.67/1.64 (4) CSR 3.67/1.64 (5) CSRRRRProof [EQUIVALENT, 0 ms] 3.67/1.64 (6) CSR 3.67/1.64 (7) CSRRRRProof [EQUIVALENT, 0 ms] 3.67/1.64 (8) CSR 3.67/1.64 (9) CSRRRRProof [EQUIVALENT, 4 ms] 3.67/1.64 (10) CSR 3.67/1.64 (11) CSRRRRProof [EQUIVALENT, 0 ms] 3.67/1.64 (12) CSR 3.67/1.64 (13) CSRRRRProof [EQUIVALENT, 5 ms] 3.67/1.64 (14) CSR 3.67/1.64 (15) RisEmptyProof [EQUIVALENT, 0 ms] 3.67/1.64 (16) YES 3.67/1.64 3.67/1.64 3.67/1.64 ---------------------------------------- 3.67/1.64 3.67/1.64 (0) 3.67/1.64 Obligation: 3.67/1.64 Context-sensitive rewrite system: 3.67/1.64 The TRS R consists of the following rules: 3.67/1.64 3.67/1.64 U11(tt, V2) -> U12(isNat(V2)) 3.67/1.64 U12(tt) -> tt 3.67/1.64 U21(tt) -> tt 3.67/1.64 U31(tt, N) -> N 3.67/1.64 U41(tt, M, N) -> U42(isNat(N), M, N) 3.67/1.64 U42(tt, M, N) -> s(plus(N, M)) 3.67/1.64 isNat(0) -> tt 3.67/1.64 isNat(plus(V1, V2)) -> U11(isNat(V1), V2) 3.67/1.64 isNat(s(V1)) -> U21(isNat(V1)) 3.67/1.64 plus(N, 0) -> U31(isNat(N), N) 3.67/1.64 plus(N, s(M)) -> U41(isNat(M), M, N) 3.67/1.64 3.67/1.64 The replacement map contains the following entries: 3.67/1.64 3.67/1.64 U11: {1} 3.67/1.64 tt: empty set 3.67/1.64 U12: {1} 3.67/1.64 isNat: empty set 3.67/1.64 U21: {1} 3.67/1.64 U31: {1} 3.67/1.64 U41: {1} 3.67/1.64 U42: {1} 3.67/1.64 s: {1} 3.67/1.64 plus: {1, 2} 3.67/1.64 0: empty set 3.67/1.64 3.67/1.64 ---------------------------------------- 3.67/1.64 3.67/1.64 (1) CSRRRRProof (EQUIVALENT) 3.67/1.64 The following CSR is given: Context-sensitive rewrite system: 3.67/1.64 The TRS R consists of the following rules: 3.67/1.64 3.67/1.64 U11(tt, V2) -> U12(isNat(V2)) 3.67/1.64 U12(tt) -> tt 3.67/1.64 U21(tt) -> tt 3.67/1.64 U31(tt, N) -> N 3.67/1.64 U41(tt, M, N) -> U42(isNat(N), M, N) 3.67/1.64 U42(tt, M, N) -> s(plus(N, M)) 3.67/1.64 isNat(0) -> tt 3.67/1.64 isNat(plus(V1, V2)) -> U11(isNat(V1), V2) 3.67/1.64 isNat(s(V1)) -> U21(isNat(V1)) 3.67/1.64 plus(N, 0) -> U31(isNat(N), N) 3.67/1.64 plus(N, s(M)) -> U41(isNat(M), M, N) 3.67/1.64 3.67/1.64 The replacement map contains the following entries: 3.67/1.64 3.67/1.64 U11: {1} 3.67/1.64 tt: empty set 3.67/1.64 U12: {1} 3.67/1.64 isNat: empty set 3.67/1.64 U21: {1} 3.67/1.64 U31: {1} 3.67/1.64 U41: {1} 3.67/1.64 U42: {1} 3.67/1.64 s: {1} 3.67/1.64 plus: {1, 2} 3.67/1.64 0: empty set 3.67/1.64 Used ordering: 3.67/1.64 Polynomial interpretation [POLO]: 3.67/1.64 3.67/1.64 POL(0) = 1 3.67/1.64 POL(U11(x_1, x_2)) = 2*x_1 3.67/1.64 POL(U12(x_1)) = 2*x_1 3.67/1.64 POL(U21(x_1)) = 2*x_1 3.67/1.64 POL(U31(x_1, x_2)) = 2*x_1 + 2*x_2 3.67/1.64 POL(U41(x_1, x_2, x_3)) = x_1 + x_2 + 2*x_3 3.67/1.64 POL(U42(x_1, x_2, x_3)) = 2*x_1 + x_2 + 2*x_3 popout

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actions

all output return to TRS_Contextsensitive 2019-03-21 05.07