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SRS Stand 10685 pair #381719737
details
property
value
status
complete
benchmark
96464.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n082.star.cs.uiowa.edu
space
ICFP_2010
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
17.3135869503 seconds
cpu usage
65.168560295
max memory
5.056741376E9
stage attributes
key
value
output-size
53522
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# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty Termination w.r.t. Q of the given QTRS could be proven: (0) QTRS (1) QTRS Reverse [EQUIVALENT, 0 ms] (2) QTRS (3) QTRSRRRProof [EQUIVALENT, 134 ms] (4) QTRS (5) DependencyPairsProof [EQUIVALENT, 451 ms] (6) QDP (7) DependencyGraphProof [EQUIVALENT, 0 ms] (8) QDP (9) QDPOrderProof [EQUIVALENT, 523 ms] (10) QDP (11) DependencyGraphProof [EQUIVALENT, 0 ms] (12) QDP (13) QDPOrderProof [EQUIVALENT, 185 ms] (14) QDP (15) DependencyGraphProof [EQUIVALENT, 0 ms] (16) QDP (17) QDPOrderProof [EQUIVALENT, 39 ms] (18) QDP (19) PisEmptyProof [EQUIVALENT, 0 ms] (20) YES ---------------------------------------- (0) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: 0(1(1(x1))) -> 2(1(1(x1))) 3(4(0(x1))) -> 4(5(5(x1))) 2(2(1(4(0(x1))))) -> 2(2(1(3(5(x1))))) 4(5(3(1(0(0(4(x1))))))) -> 4(5(0(1(4(5(4(x1))))))) 1(3(3(2(1(4(4(0(x1)))))))) -> 1(1(3(0(4(4(0(2(x1)))))))) 2(2(1(5(0(2(2(2(4(x1))))))))) -> 2(0(0(4(5(5(0(x1))))))) 0(2(3(0(2(0(3(5(2(4(x1)))))))))) -> 2(0(4(5(4(4(5(4(0(x1))))))))) 3(2(3(1(3(5(5(2(2(0(x1)))))))))) -> 4(0(0(0(0(2(2(2(0(x1))))))))) 3(4(1(1(0(0(5(0(5(0(x1)))))))))) -> 3(0(1(0(1(1(3(0(4(5(x1)))))))))) 4(1(3(0(0(5(1(5(0(1(x1)))))))))) -> 4(0(4(2(2(3(0(3(0(1(x1)))))))))) 3(3(0(2(0(1(4(5(5(5(0(x1))))))))))) -> 1(2(3(5(4(4(0(2(3(5(5(x1))))))))))) 3(0(2(0(2(1(2(5(4(3(5(4(x1)))))))))))) -> 3(2(2(0(3(0(5(4(5(1(5(4(x1)))))))))))) 3(0(5(4(5(3(0(0(0(5(1(1(x1)))))))))))) -> 3(2(4(1(4(0(3(0(2(1(1(3(x1)))))))))))) 3(3(0(4(4(1(1(1(3(1(2(1(x1)))))))))))) -> 3(3(5(3(0(1(4(4(0(0(1(x1))))))))))) 3(2(0(2(1(1(4(1(3(1(4(5(2(4(x1)))))))))))))) -> 0(2(2(4(4(5(4(1(0(0(5(0(0(x1))))))))))))) 4(1(3(3(0(5(2(3(3(3(0(5(4(3(x1)))))))))))))) -> 4(4(2(2(0(3(1(1(5(1(3(0(5(3(x1)))))))))))))) 3(4(0(2(1(1(0(4(1(1(0(2(3(5(3(x1))))))))))))))) -> 2(4(5(0(0(3(0(3(0(4(4(1(1(3(x1)))))))))))))) 5(5(1(4(1(3(4(2(3(4(3(1(2(0(5(x1))))))))))))))) -> 1(3(5(1(1(2(1(2(0(3(0(1(1(2(0(x1))))))))))))))) 0(5(0(3(3(3(2(3(1(1(1(2(5(1(2(5(x1)))))))))))))))) -> 0(5(1(4(3(3(4(4(1(1(4(1(0(1(4(x1))))))))))))))) 2(4(0(5(0(0(4(4(2(2(3(5(3(4(5(0(x1)))))))))))))))) -> 2(3(1(3(0(1(1(1(0(5(5(0(2(3(4(0(x1)))))))))))))))) 3(1(3(5(4(1(0(4(1(2(4(2(3(3(1(3(1(3(x1)))))))))))))))))) -> 0(3(3(0(0(3(3(4(4(1(4(1(5(2(2(4(3(x1))))))))))))))))) 2(5(0(5(2(1(3(1(4(5(5(0(0(2(3(0(3(2(4(3(x1)))))))))))))))))))) -> 0(2(0(0(3(1(4(2(5(2(0(5(4(4(1(1(0(4(3(x1))))))))))))))))))) 2(5(2(1(1(0(4(3(3(0(4(5(4(3(0(4(1(0(4(0(x1)))))))))))))))))))) -> 5(1(1(0(1(3(5(5(0(5(3(4(5(1(0(0(2(3(2(0(x1)))))))))))))))))))) 1(3(0(5(3(1(1(1(0(3(3(0(1(3(3(4(3(5(3(0(5(x1))))))))))))))))))))) -> 1(5(3(3(1(3(3(4(0(5(5(0(3(2(4(1(2(3(3(4(5(x1))))))))))))))))))))) 3(3(0(5(3(5(1(2(5(1(2(1(2(1(4(0(1(2(3(1(5(x1))))))))))))))))))))) -> 0(2(0(5(5(4(5(2(5(0(0(4(2(0(5(5(5(3(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(1(0(x1))) -> 1(1(2(x1))) 0(4(3(x1))) -> 5(5(4(x1))) 0(4(1(2(2(x1))))) -> 5(3(1(2(2(x1))))) 4(0(0(1(3(5(4(x1))))))) -> 4(5(4(1(0(5(4(x1))))))) 0(4(4(1(2(3(3(1(x1)))))))) -> 2(0(4(4(0(3(1(1(x1)))))))) 4(2(2(2(0(5(1(2(2(x1))))))))) -> 0(5(5(4(0(0(2(x1))))))) 4(2(5(3(0(2(0(3(2(0(x1)))))))))) -> 0(4(5(4(4(5(4(0(2(x1))))))))) 0(2(2(5(5(3(1(3(2(3(x1)))))))))) -> 0(2(2(2(0(0(0(0(4(x1))))))))) 0(5(0(5(0(0(1(1(4(3(x1)))))))))) -> 5(4(0(3(1(1(0(1(0(3(x1)))))))))) 1(0(5(1(5(0(0(3(1(4(x1)))))))))) -> 1(0(3(0(3(2(2(4(0(4(x1)))))))))) 0(5(5(5(4(1(0(2(0(3(3(x1))))))))))) -> 5(5(3(2(0(4(4(5(3(2(1(x1))))))))))) 4(5(3(4(5(2(1(2(0(2(0(3(x1)))))))))))) -> 4(5(1(5(4(5(0(3(0(2(2(3(x1)))))))))))) 1(1(5(0(0(0(3(5(4(5(0(3(x1)))))))))))) -> 3(1(1(2(0(3(0(4(1(4(2(3(x1)))))))))))) 1(2(1(3(1(1(1(4(4(0(3(3(x1)))))))))))) -> 1(0(0(4(4(1(0(3(5(3(3(x1))))))))))) 4(2(5(4(1(3(1(4(1(1(2(0(2(3(x1)))))))))))))) -> 0(0(5(0(0(1(4(5(4(4(2(2(0(x1))))))))))))) 3(4(5(0(3(3(3(2(5(0(3(3(1(4(x1)))))))))))))) -> 3(5(0(3(1(5(1(1(3(0(2(2(4(4(x1)))))))))))))) 3(5(3(2(0(1(1(4(0(1(1(2(0(4(3(x1))))))))))))))) -> 3(1(1(4(4(0(3(0(3(0(0(5(4(2(x1)))))))))))))) 5(0(2(1(3(4(3(2(4(3(1(4(1(5(5(x1))))))))))))))) -> 0(2(1(1(0(3(0(2(1(2(1(1(5(3(1(x1)))))))))))))))
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