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TRS Standard pair #516963360
details
property
value
status
complete
benchmark
PEANO_complete-noand_L.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n074.star.cs.uiowa.edu
space
Transformed_CSR_04
run statistics
property
value
solver
AProVE21
configuration
standard
runtime (wallclock)
1.93396782875 seconds
cpu usage
4.774769525
max memory
4.70913024E8
stage attributes
key
value
output-size
1560
starexec-result
NO
output
/export/starexec/sandbox/solver/bin/starexec_run_standard /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- NO proof of /export/starexec/sandbox/benchmark/theBenchmark.xml # AProVE Commit ID: c69e44bd14796315568835c1ffa2502984884775 mhark 20210624 unpublished Termination of the given GTRS could be disproven: (0) GTRS (1) CritRuleProof [COMPLETE, 0 ms] (2) NO ---------------------------------------- (0) Obligation: Generalized rewrite system (where rules with free variables on rhs are allowed): The TRS R consists of the following rules: U52(tt) -> N U64(tt) -> s(plus(N, M)) U11(tt) -> U12(isNatKind) U12(tt) -> U13(isNatKind) U13(tt) -> U14(isNatKind) U14(tt) -> U15(isNat) U15(tt) -> U16(isNat) U16(tt) -> tt U21(tt) -> U22(isNatKind) U22(tt) -> U23(isNat) U23(tt) -> tt U31(tt) -> U32(isNatKind) U32(tt) -> tt U41(tt) -> tt U51(tt) -> U52(isNatKind) U61(tt) -> U62(isNatKind) U62(tt) -> U63(isNat) U63(tt) -> U64(isNatKind) isNat -> tt isNat -> U11(isNatKind) isNat -> U21(isNatKind) isNatKind -> tt isNatKind -> U31(isNatKind) isNatKind -> U41(isNatKind) plus(N, 0) -> U51(isNat) plus(N, s(M)) -> U61(isNat) ---------------------------------------- (1) CritRuleProof (COMPLETE) The rule U52(tt) -> N contains free variables in its right-hand side. Hence the TRS is not-terminating. ---------------------------------------- (2) NO
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