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SRS Stand 10685 pair #381717600
details
property
value
status
complete
benchmark
while2.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n054.star.cs.uiowa.edu
space
Zantema_06
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
1.52682995796 seconds
cpu usage
3.175894604
max memory
2.20196864E8
stage attributes
key
value
output-size
2198
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# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty Termination w.r.t. Q of the given QTRS could be proven: (0) QTRS (1) RFCMatchBoundsTRSProof [EQUIVALENT, 0 ms] (2) YES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: a(b(x1)) -> d(x1) b(a(x1)) -> a(b(x1)) d(c(x1)) -> f(a(b(b(c(x1))))) d(f(x1)) -> f(a(b(x1))) a(f(x1)) -> a(x1) Q is empty. ---------------------------------------- (1) RFCMatchBoundsTRSProof (EQUIVALENT) Termination of the TRS R could be shown with a Match Bound [MATCHBOUNDS1,MATCHBOUNDS2] of 2. This implies Q-termination of R. The following rules were used to construct the certificate: a(b(x1)) -> d(x1) b(a(x1)) -> a(b(x1)) d(c(x1)) -> f(a(b(b(c(x1))))) d(f(x1)) -> f(a(b(x1))) a(f(x1)) -> a(x1) The certificate found is represented by the following graph. The certificate consists of the following enumerated nodes: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11 Node 1 is start node and node 2 is final node. Those nodes are connected through the following edges: * 1 to 2 labelled d_1(0), a_1(0), d_1(1), a_1(1)* 1 to 3 labelled a_1(0)* 1 to 4 labelled f_1(0)* 1 to 1 labelled f_1(0)* 1 to 8 labelled f_1(1), a_1(1), a_1(2)* 2 to 2 labelled #_1(0)* 3 to 2 labelled b_1(0), d_1(2)* 3 to 9 labelled a_1(1)* 3 to 10 labelled d_1(2)* 3 to 8 labelled f_1(1), a_1(2)* 4 to 5 labelled a_1(0)* 4 to 6 labelled d_1(1)* 5 to 6 labelled b_1(0)* 6 to 7 labelled b_1(0)* 7 to 2 labelled c_1(0)* 8 to 9 labelled a_1(1)* 8 to 10 labelled d_1(2)* 8 to 2 labelled d_1(2)* 8 to 8 labelled f_1(1), a_1(2)* 9 to 10 labelled b_1(1), d_1(2)* 9 to 2 labelled b_1(1), d_1(2)* 9 to 9 labelled a_1(1)* 9 to 8 labelled f_1(1), a_1(2)* 10 to 11 labelled b_1(1)* 11 to 2 labelled c_1(1) ---------------------------------------- (2) YES
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