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TRS Conte Sensi 17651 pair #381733394
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
n112.star.cs.uiowa.edu
space
Maude_06
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
1.57148718834 seconds
cpu usage
3.705653984
max memory
2.2112256E8
stage attributes
key
value
output-size
7804
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# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty Termination of the given CSR could be proven: (0) CSR (1) CSRRRRProof [EQUIVALENT, 38 ms] (2) CSR (3) CSRRRRProof [EQUIVALENT, 17 ms] (4) CSR (5) CSRRRRProof [EQUIVALENT, 0 ms] (6) CSR (7) CSRRRRProof [EQUIVALENT, 9 ms] (8) CSR (9) RisEmptyProof [EQUIVALENT, 0 ms] (10) 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 POL(U21(x_1)) = x_1 POL(U31(x_1, x_2)) = 1 + x_1 + x_2 POL(U41(x_1, x_2, x_3)) = 1 + x_1 + x_2 + x_3 POL(U42(x_1, x_2, x_3)) = 1 + x_1 + x_2 + x_3
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