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	n135.star.cs.uiowa.edu
space	Maude_06

run statistics

property	value
solver	AProVE21
configuration	standard
runtime (wallclock)	2.14480090141 seconds
cpu usage	5.860610564
max memory	4.824064E8

stage attributes

key	value
output-size	11749
starexec-result	YES

output

/export/starexec/sandbox2/solver/bin/starexec_run_standard /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- YES proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml # AProVE Commit ID: c69e44bd14796315568835c1ffa2502984884775 mhark 20210624 unpublished Termination of the given CSR could be proven: (0) CSR (1) CSRRRRProof [EQUIVALENT, 98 ms] (2) CSR (3) CSRRRRProof [EQUIVALENT, 0 ms] (4) CSR (5) CSRRRRProof [EQUIVALENT, 11 ms] (6) CSR (7) CSRRRRProof [EQUIVALENT, 0 ms] (8) CSR (9) CSRRRRProof [EQUIVALENT, 0 ms] (10) CSR (11) CSRRRRProof [EQUIVALENT, 2 ms] (12) CSR (13) CSRRRRProof [EQUIVALENT, 0 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, V2) -> U12(isNat(V2)) U12(tt) -> tt U21(tt) -> tt U31(tt, N) -> N U41(tt, M, N) -> U42(isNat(N), M, N) U42(tt, M, N) -> s(plus(N, M)) isNat(0) -> tt isNat(plus(V1, V2)) -> U11(isNat(V1), V2) isNat(s(V1)) -> U21(isNat(V1)) plus(N, 0) -> U31(isNat(N), N) plus(N, s(M)) -> U41(isNat(M), M, N) The replacement map contains the following entries: U11: {1} tt: empty set U12: {1} isNat: empty set U21: {1} U31: {1} U41: {1} U42: {1} s: {1} plus: {1, 2} 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, V2) -> U12(isNat(V2)) U12(tt) -> tt U21(tt) -> tt U31(tt, N) -> N U41(tt, M, N) -> U42(isNat(N), M, N) U42(tt, M, N) -> s(plus(N, M)) isNat(0) -> tt isNat(plus(V1, V2)) -> U11(isNat(V1), V2) isNat(s(V1)) -> U21(isNat(V1)) plus(N, 0) -> U31(isNat(N), N) plus(N, s(M)) -> U41(isNat(M), M, N) The replacement map contains the following entries: U11: {1} tt: empty set U12: {1} isNat: empty set U21: {1} U31: {1} U41: {1} U42: {1} s: {1} plus: {1, 2} 0: empty set Used ordering: Polynomial interpretation [POLO]: POL(0) = 1 popout

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

job log

popout

actions

all output return to TRS Context Sensitive