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TRS Conte Sensi 17651 pair #381733354
details
property
value
status
complete
benchmark
MYNAT_complete-noand-peanoSimple.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n081.star.cs.uiowa.edu
space
Maude_06
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
2.13773989677 seconds
cpu usage
5.85865593
max memory
3.7425152E8
stage attributes
key
value
output-size
34722
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# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty Termination of the given CSR could be proven: (0) CSR (1) CSRRRRProof [EQUIVALENT, 91 ms] (2) CSR (3) CSRRRRProof [EQUIVALENT, 0 ms] (4) CSR (5) CSRRRRProof [EQUIVALENT, 3 ms] (6) CSR (7) CSRRRRProof [EQUIVALENT, 18 ms] (8) CSR (9) CSRRRRProof [EQUIVALENT, 13 ms] (10) CSR (11) CSRRRRProof [EQUIVALENT, 10 ms] (12) CSR (13) CSRRRRProof [EQUIVALENT, 0 ms] (14) CSR (15) CSRRRRProof [EQUIVALENT, 9 ms] (16) CSR (17) CSRRRRProof [EQUIVALENT, 0 ms] (18) CSR (19) CSRRRRProof [EQUIVALENT, 12 ms] (20) CSR (21) CSRRRRProof [EQUIVALENT, 0 ms] (22) CSR (23) RisEmptyProof [EQUIVALENT, 0 ms] (24) YES ---------------------------------------- (0) Obligation: Context-sensitive rewrite system: The TRS R consists of the following rules: U11(tt, V1, V2) -> U12(isNatKind(V1), V1, V2) U12(tt, V1, V2) -> U13(isNatKind(V2), V1, V2) U13(tt, V1, V2) -> U14(isNatKind(V2), V1, V2) U14(tt, V1, V2) -> U15(isNat(V1), V2) U15(tt, V2) -> U16(isNat(V2)) U16(tt) -> tt U21(tt, V1) -> U22(isNatKind(V1), V1) U22(tt, V1) -> U23(isNat(V1)) U23(tt) -> tt U31(tt, V2) -> U32(isNatKind(V2)) U32(tt) -> tt U41(tt) -> tt U51(tt, N) -> U52(isNatKind(N), N) U52(tt, N) -> N U61(tt, M, N) -> U62(isNatKind(M), M, N) U62(tt, M, N) -> U63(isNat(N), M, N) U63(tt, M, N) -> U64(isNatKind(N), M, N) U64(tt, M, N) -> s(plus(N, M)) isNat(0) -> tt isNat(plus(V1, V2)) -> U11(isNatKind(V1), V1, V2) isNat(s(V1)) -> U21(isNatKind(V1), V1) isNatKind(0) -> tt isNatKind(plus(V1, V2)) -> U31(isNatKind(V1), V2) isNatKind(s(V1)) -> U41(isNatKind(V1)) plus(N, 0) -> U51(isNat(N), N) plus(N, s(M)) -> U61(isNat(M), M, N) The replacement map contains the following entries: U11: {1} tt: empty set U12: {1} isNatKind: empty set U13: {1} U14: {1} U15: {1} isNat: empty set U16: {1} U21: {1} U22: {1} U23: {1} U31: {1} U32: {1} U41: {1} U51: {1} U52: {1} U61: {1} U62: {1} U63: {1} U64: {1} s: {1} plus: {1, 2} 0: empty set
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