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TRS Stand 20472 pair #381711142
details
property
value
status
complete
benchmark
#4.20a.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n003.star.cs.uiowa.edu
space
Strategy_removed_AG01
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
1.48125576973 seconds
cpu usage
3.281130184
max memory
2.14437888E8
stage attributes
key
value
output-size
1536
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# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty Termination w.r.t. Q of the given QTRS could be proven: (0) QTRS (1) RFCMatchBoundsTRSProof [EQUIVALENT, 0 ms] (2) YES ---------------------------------------- (0) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: f(f(x)) -> f(x) f(s(x)) -> f(x) g(s(0)) -> g(f(s(0))) Q is empty. ---------------------------------------- (1) RFCMatchBoundsTRSProof (EQUIVALENT) Termination of the TRS R could be shown with a Match Bound [MATCHBOUNDS1,MATCHBOUNDS2] of 1. This implies Q-termination of R. The following rules were used to construct the certificate: f(f(x)) -> f(x) f(s(x)) -> f(x) g(s(0)) -> g(f(s(0))) The certificate found is represented by the following graph. The certificate consists of the following enumerated nodes: 1, 3, 4, 5, 6 Node 1 is start node and node 3 is final node. Those nodes are connected through the following edges: * 1 to 3 labelled f_1(0), f_1(1)* 1 to 4 labelled g_1(0)* 3 to 3 labelled #_1(0)* 4 to 5 labelled f_1(0)* 4 to 6 labelled f_1(1)* 5 to 6 labelled s_1(0)* 6 to 3 labelled 0(0) ---------------------------------------- (2) YES
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