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TRS Stand 20472 pair #381715532
details
property
value
status
complete
benchmark
MYNAT_complete-noand_L.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n098.star.cs.uiowa.edu
space
Transformed_CSR_04
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
1.57417488098 seconds
cpu usage
3.301907507
max memory
1.76242688E8
stage attributes
key
value
output-size
2061
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# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty Termination of the given GTRS could be disproven: (0) GTRS (1) CritRuleProof [COMPLETE, 0 ms] (2) NO ---------------------------------------- (0)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: U104(tt) -> plus(x(N, M), N) U72(tt) -> N U84(tt) -> s(plus(N, M)) U101(tt) -> U102(isNatKind) U102(tt) -> U103(isNat) U103(tt) -> U104(isNatKind) 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) -> U33(isNatKind) U33(tt) -> U34(isNatKind) U34(tt) -> U35(isNat) U35(tt) -> U36(isNat) U36(tt) -> tt U41(tt) -> U42(isNatKind) U42(tt) -> tt U51(tt) -> tt U61(tt) -> U62(isNatKind) U62(tt) -> tt U71(tt) -> U72(isNatKind) U81(tt) -> U82(isNatKind) U82(tt) -> U83(isNat) U83(tt) -> U84(isNatKind) U91(tt) -> U92(isNatKind) U92(tt) -> 0 isNat -> tt isNat -> U11(isNatKind) isNat -> U21(isNatKind) isNat -> U31(isNatKind) isNatKind -> tt isNatKind -> U41(isNatKind) isNatKind -> U51(isNatKind) isNatKind -> U61(isNatKind) plus(N, 0) -> U71(isNat) plus(N, s(M)) -> U81(isNat) x(N, 0) -> U91(isNat) x(N, s(M)) -> U101(isNat) ---------------------------------------- (1) CritRuleProof (COMPLETE) The rule U104(tt) -> plus(x(N, M), N) contains free variables in its right-hand side. Hence the TRS is not-terminating. ---------------------------------------- (2) NO
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