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TRS Innermost pair #487524435
details
property
value
status
complete
benchmark
Ex4_7_15_Bor03_L.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n102.star.cs.uiowa.edu
space
Transformed_CSR_innermost_04
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
1.57529807091 seconds
cpu usage
3.45270553
max memory
2.42016256E8
stage attributes
key
value
output-size
1644
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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty Termination w.r.t. Q of the given QTRS could be proven: (0) QTRS (1) RFCMatchBoundsTRSProof [EQUIVALENT, 0 ms] (2) YES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(0) -> cons(0) f(s(0)) -> f(p(s(0))) p(s(0)) -> 0 The set Q consists of the following terms: f(0) f(s(0)) p(s(0)) ---------------------------------------- (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(0) -> cons(0) f(s(0)) -> f(p(s(0))) p(s(0)) -> 0 The certificate found is represented by the following graph. The certificate consists of the following enumerated nodes: 1, 2, 3, 4, 5, 6 Node 1 is start node and node 2 is final node. Those nodes are connected through the following edges: * 1 to 3 labelled cons_1(0)* 1 to 4 labelled f_1(0), cons_1(1)* 1 to 2 labelled 0(0)* 2 to 2 labelled #_1(0)* 3 to 2 labelled 0(0)* 4 to 5 labelled p_1(0)* 4 to 2 labelled 0(1)* 5 to 6 labelled s_1(0)* 6 to 2 labelled 0(0) ---------------------------------------- (2) YES
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