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SRS Stand 10685 pair #381717383
details
property
value
status
complete
benchmark
86559.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n089.star.cs.uiowa.edu
space
ICFP_2010
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
3.45742201805 seconds
cpu usage
10.256508293
max memory
7.63916288E8
stage attributes
key
value
output-size
14670
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# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty Termination w.r.t. Q of the given QTRS could be proven: (0) QTRS (1) QTRS Reverse [EQUIVALENT, 0 ms] (2) QTRS (3) QTRSRRRProof [EQUIVALENT, 151 ms] (4) QTRS (5) DependencyPairsProof [EQUIVALENT, 63 ms] (6) QDP (7) DependencyGraphProof [EQUIVALENT, 0 ms] (8) TRUE ---------------------------------------- (0) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: 0(1(0(1(x1)))) -> 0(2(3(1(x1)))) 2(1(4(0(1(x1))))) -> 3(0(0(1(x1)))) 2(3(3(3(1(x1))))) -> 1(1(3(1(x1)))) 4(1(2(3(4(x1))))) -> 1(5(3(0(x1)))) 5(3(2(4(4(x1))))) -> 0(1(3(0(x1)))) 5(5(0(4(3(3(x1)))))) -> 0(3(2(1(3(x1))))) 5(0(3(1(4(1(0(1(0(x1))))))))) -> 2(2(4(1(3(2(2(3(0(x1))))))))) 5(5(5(4(4(0(4(0(2(1(x1)))))))))) -> 5(4(5(4(0(5(0(4(0(3(x1)))))))))) 2(2(2(0(3(3(2(0(4(5(0(x1))))))))))) -> 0(4(0(0(0(0(2(5(1(x1))))))))) 1(0(2(0(3(5(1(4(5(2(4(4(x1)))))))))))) -> 1(0(1(0(3(2(3(2(1(0(3(3(x1)))))))))))) 4(0(4(2(3(5(0(1(4(4(5(0(x1)))))))))))) -> 3(5(0(2(5(1(2(5(1(4(1(x1))))))))))) 4(1(0(2(3(5(4(1(4(4(1(1(x1)))))))))))) -> 2(5(4(4(5(5(1(2(4(4(2(x1))))))))))) 2(0(0(5(5(0(2(2(2(3(4(1(4(x1))))))))))))) -> 3(3(3(3(1(3(1(4(1(4(5(4(3(x1))))))))))))) 4(5(1(3(0(0(3(5(2(1(2(5(2(x1))))))))))))) -> 4(5(0(3(5(3(5(5(3(5(4(0(4(x1))))))))))))) 2(1(4(5(5(0(2(4(0(5(4(4(1(4(x1)))))))))))))) -> 0(0(2(1(4(3(2(5(3(2(5(2(1(x1))))))))))))) 3(1(3(5(4(1(1(4(5(1(1(3(5(1(x1)))))))))))))) -> 3(2(1(2(4(3(5(1(5(5(1(3(4(x1))))))))))))) 4(4(5(3(0(2(0(0(0(3(5(0(2(1(x1)))))))))))))) -> 2(2(0(4(1(0(0(1(4(2(4(1(3(5(x1)))))))))))))) 5(0(5(4(4(4(4(2(5(1(2(3(3(1(1(x1))))))))))))))) -> 1(3(0(5(3(1(3(1(0(3(3(1(0(3(x1)))))))))))))) 5(3(5(5(4(0(2(2(4(3(2(2(1(4(1(x1))))))))))))))) -> 5(1(4(2(3(5(4(0(4(4(2(1(0(0(x1)))))))))))))) 5(5(2(1(3(3(2(5(0(1(0(5(0(5(0(x1))))))))))))))) -> 2(3(5(0(2(4(1(0(5(4(3(0(5(0(x1)))))))))))))) 2(1(2(3(2(1(2(5(5(5(0(0(3(2(1(1(x1)))))))))))))))) -> 4(4(1(1(3(3(1(4(2(1(3(0(3(2(3(x1))))))))))))))) 3(3(3(1(4(2(0(0(3(0(1(1(3(4(1(2(x1)))))))))))))))) -> 3(0(4(1(5(0(5(3(5(0(4(4(3(0(4(x1))))))))))))))) 2(1(1(3(5(4(0(1(4(2(5(1(4(5(4(5(1(x1))))))))))))))))) -> 2(3(3(3(3(2(1(4(5(5(2(2(4(4(4(3(0(x1))))))))))))))))) 5(0(2(4(4(4(4(3(1(2(2(2(2(2(2(5(2(x1))))))))))))))))) -> 5(4(0(4(4(3(5(5(4(3(0(5(5(5(0(0(x1)))))))))))))))) 2(5(5(1(0(4(4(1(4(0(5(1(1(5(0(0(1(4(x1)))))))))))))))))) -> 3(3(1(0(0(1(1(1(2(1(2(0(2(4(4(3(5(0(x1)))))))))))))))))) 0(0(1(1(4(5(3(2(5(3(4(4(3(0(5(4(4(4(2(x1))))))))))))))))))) -> 0(0(4(5(1(4(1(5(3(0(4(0(3(3(4(0(4(0(4(x1))))))))))))))))))) 1(4(1(4(1(5(2(4(4(3(3(4(5(4(4(1(2(0(2(3(x1)))))))))))))))))))) -> 1(2(1(5(0(1(0(4(4(4(2(5(0(1(5(1(1(4(3(3(x1)))))))))))))))))))) 2(1(0(0(4(2(5(5(1(3(3(4(3(3(5(5(3(3(5(2(x1)))))))))))))))))))) -> 4(4(3(3(5(0(4(2(2(1(1(3(1(5(2(5(2(4(5(x1))))))))))))))))))) 4(2(4(2(4(5(4(5(2(1(5(3(1(0(2(5(2(1(4(2(4(x1))))))))))))))))))))) -> 1(5(3(1(5(0(5(2(0(5(4(3(5(2(1(2(5(4(3(2(1(x1))))))))))))))))))))) 5(0(2(1(0(3(4(3(4(1(5(3(3(3(4(2(0(5(5(3(5(x1))))))))))))))))))))) -> 3(5(1(1(0(5(4(5(2(1(5(0(4(4(4(3(4(4(1(5(x1)))))))))))))))))))) Q is empty. ---------------------------------------- (1) QTRS Reverse (EQUIVALENT) We applied the QTRS Reverse Processor [REVERSE]. ---------------------------------------- (2) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: 1(0(1(0(x1)))) -> 1(3(2(0(x1)))) 1(0(4(1(2(x1))))) -> 1(0(0(3(x1)))) 1(3(3(3(2(x1))))) -> 1(3(1(1(x1)))) 4(3(2(1(4(x1))))) -> 0(3(5(1(x1)))) 4(4(2(3(5(x1))))) -> 0(3(1(0(x1)))) 3(3(4(0(5(5(x1)))))) -> 3(1(2(3(0(x1))))) 0(1(0(1(4(1(3(0(5(x1))))))))) -> 0(3(2(2(3(1(4(2(2(x1))))))))) 1(2(0(4(0(4(4(5(5(5(x1)))))))))) -> 3(0(4(0(5(0(4(5(4(5(x1)))))))))) 0(5(4(0(2(3(3(0(2(2(2(x1))))))))))) -> 1(5(2(0(0(0(0(4(0(x1))))))))) 4(4(2(5(4(1(5(3(0(2(0(1(x1)))))))))))) -> 3(3(0(1(2(3(2(3(0(1(0(1(x1)))))))))))) 0(5(4(4(1(0(5(3(2(4(0(4(x1)))))))))))) -> 1(4(1(5(2(1(5(2(0(5(3(x1))))))))))) 1(1(4(4(1(4(5(3(2(0(1(4(x1)))))))))))) -> 2(4(4(2(1(5(5(4(4(5(2(x1))))))))))) 4(1(4(3(2(2(2(0(5(5(0(0(2(x1))))))))))))) -> 3(4(5(4(1(4(1(3(1(3(3(3(3(x1))))))))))))) 2(5(2(1(2(5(3(0(0(3(1(5(4(x1))))))))))))) -> 4(0(4(5(3(5(5(3(5(3(0(5(4(x1))))))))))))) 4(1(4(4(5(0(4(2(0(5(5(4(1(2(x1)))))))))))))) -> 1(2(5(2(3(5(2(3(4(1(2(0(0(x1))))))))))))) 1(5(3(1(1(5(4(1(1(4(5(3(1(3(x1)))))))))))))) -> 4(3(1(5(5(1(5(3(4(2(1(2(3(x1))))))))))))) 1(2(0(5(3(0(0(0(2(0(3(5(4(4(x1)))))))))))))) -> 5(3(1(4(2(4(1(0(0(1(4(0(2(2(x1)))))))))))))) 1(1(3(3(2(1(5(2(4(4(4(4(5(0(5(x1))))))))))))))) -> 3(0(1(3(3(0(1(3(1(3(5(0(3(1(x1)))))))))))))) 1(4(1(2(2(3(4(2(2(0(4(5(5(3(5(x1))))))))))))))) -> 0(0(1(2(4(4(0(4(5(3(2(4(1(5(x1)))))))))))))) 0(5(0(5(0(1(0(5(2(3(3(1(2(5(5(x1))))))))))))))) -> 0(5(0(3(4(5(0(1(4(2(0(5(3(2(x1)))))))))))))) 1(1(2(3(0(0(5(5(5(2(1(2(3(2(1(2(x1)))))))))))))))) -> 3(2(3(0(3(1(2(4(1(3(3(1(1(4(4(x1))))))))))))))) 2(1(4(3(1(1(0(3(0(0(2(4(1(3(3(3(x1)))))))))))))))) -> 4(0(3(4(4(0(5(3(5(0(5(1(4(0(3(x1))))))))))))))) 1(5(4(5(4(1(5(2(4(1(0(4(5(3(1(1(2(x1))))))))))))))))) -> 0(3(4(4(4(2(2(5(5(4(1(2(3(3(3(3(2(x1))))))))))))))))) 2(5(2(2(2(2(2(2(1(3(4(4(4(4(2(0(5(x1))))))))))))))))) -> 0(0(5(5(5(0(3(4(5(5(3(4(4(0(4(5(x1)))))))))))))))) 4(1(0(0(5(1(1(5(0(4(1(4(4(0(1(5(5(2(x1)))))))))))))))))) -> 0(5(3(4(4(2(0(2(1(2(1(1(1(0(0(1(3(3(x1))))))))))))))))))
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