details

property	value
status	complete
benchmark	MYNAT_nokinds-peanoSimple.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n141.star.cs.uiowa.edu
space	Maude_06

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	1.5157 seconds
cpu usage	3.82696
user time	3.66306
system time	0.1639
max virtual memory	1.8407092E7
max residence set size	236576.0

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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty Termination of the given CSR could be proven: (0) CSR (1) CSRRRRProof [EQUIVALENT, 48 ms] (2) CSR (3) CSRRRRProof [EQUIVALENT, 0 ms] (4) CSR (5) CSRRRRProof [EQUIVALENT, 10 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, 3 ms] (14) CSR (15) RisEmptyProof [EQUIVALENT, 0 ms] (16) YES ---------------------------------------- (0) Obligation: Context-sensitive rewrite system: The TRS R consists of the following rules: U11(tt, N) -> N U21(tt, M, N) -> s(plus(N, M)) and(tt, X) -> X isNat(0) -> tt isNat(plus(V1, V2)) -> and(isNat(V1), isNat(V2)) isNat(s(V1)) -> isNat(V1) plus(N, 0) -> U11(isNat(N), N) plus(N, s(M)) -> U21(and(isNat(M), isNat(N)), M, N) The replacement map contains the following entries: U11: {1} tt: empty set U21: {1} s: {1} plus: {1, 2} and: {1} isNat: empty set 0: empty set ---------------------------------------- (1) CSRRRRProof (EQUIVALENT) The following CSR is given: Context-sensitive rewrite system: The TRS R consists of the following rules: U11(tt, N) -> N U21(tt, M, N) -> s(plus(N, M)) and(tt, X) -> X isNat(0) -> tt isNat(plus(V1, V2)) -> and(isNat(V1), isNat(V2)) isNat(s(V1)) -> isNat(V1) plus(N, 0) -> U11(isNat(N), N) plus(N, s(M)) -> U21(and(isNat(M), isNat(N)), M, N) The replacement map contains the following entries: U11: {1} tt: empty set U21: {1} s: {1} plus: {1, 2} and: {1} isNat: empty set 0: empty set Used ordering: Polynomial interpretation [POLO]: POL(0) = 2 POL(U11(x_1, x_2)) = 2*x_1 + x_2 POL(U21(x_1, x_2, x_3)) = 2*x_1 + x_2 + x_3 POL(and(x_1, x_2)) = 2*x_1 + 2*x_2 POL(isNat(x_1)) = 0 POL(plus(x_1, x_2)) = x_1 + x_2 POL(s(x_1)) = x_1 POL(tt) = 0 With this ordering the following rules can be removed by the rule removal processor [LPAR04] because they are oriented strictly: plus(N, 0) -> U11(isNat(N), N) ---------------------------------------- (2) Obligation: popout

output may be truncated. 'popout' for the full output.

job log

popout

actions

all output return to TRS Contextsensitive