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TRS Context Sensitive pair #487523923
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
n139.star.cs.uiowa.edu
space
Maude_06
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
1.6069009304 seconds
cpu usage
3.778462101
max memory
2.35548672E8
stage attributes
key
value
output-size
10080
starexec-result
YES
output
/export/starexec/sandbox/solver/bin/starexec_run_standard /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- 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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty Termination of the given CSR could be proven: (0) CSR (1) CSRRRRProof [EQUIVALENT, 54 ms] (2) CSR (3) CSRRRRProof [EQUIVALENT, 0 ms] (4) CSR (5) CSRRRRProof [EQUIVALENT, 6 ms] (6) CSR (7) CSRRRRProof [EQUIVALENT, 0 ms] (8) CSR (9) CSRRRRProof [EQUIVALENT, 0 ms] (10) CSR (11) CSRRRRProof [EQUIVALENT, 3 ms] (12) CSR (13) RisEmptyProof [EQUIVALENT, 0 ms] (14) 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 POL(U11(x_1, x_2)) = x_1 POL(U12(x_1)) = x_1
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