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SRS Stand 10685 pair #381718022
details
property
value
status
complete
benchmark
dup05.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n053.star.cs.uiowa.edu
space
Trafo_06
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
7.01112985611 seconds
cpu usage
24.643781889
max memory
3.892125696E9
stage attributes
key
value
output-size
14139
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# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty Termination w.r.t. Q of the given QTRS could be proven: (0) QTRS (1) QTRS Reverse [EQUIVALENT, 0 ms] (2) QTRS (3) DependencyPairsProof [EQUIVALENT, 62 ms] (4) QDP (5) DependencyGraphProof [EQUIVALENT, 3 ms] (6) AND (7) QDP (8) UsableRulesProof [EQUIVALENT, 13 ms] (9) QDP (10) QDPOrderProof [EQUIVALENT, 70 ms] (11) QDP (12) DependencyGraphProof [EQUIVALENT, 0 ms] (13) AND (14) QDP (15) QDPOrderProof [EQUIVALENT, 11 ms] (16) QDP (17) PisEmptyProof [EQUIVALENT, 0 ms] (18) YES (19) QDP (20) QDPOrderProof [EQUIVALENT, 74 ms] (21) QDP (22) PisEmptyProof [EQUIVALENT, 0 ms] (23) YES (24) QDP (25) QDPOrderProof [EQUIVALENT, 40 ms] (26) QDP (27) PisEmptyProof [EQUIVALENT, 0 ms] (28) YES ---------------------------------------- (0) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: a(a(s(s(x1)))) -> s(s(a(a(x1)))) b(b(a(a(b(b(s(s(x1)))))))) -> a(a(b(b(s(s(a(a(x1)))))))) b(b(a(a(b(b(b(b(x1)))))))) -> a(a(b(b(a(a(b(b(x1)))))))) a(a(b(b(a(a(a(a(x1)))))))) -> b(b(a(a(b(b(a(a(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: s(s(a(a(x1)))) -> a(a(s(s(x1)))) s(s(b(b(a(a(b(b(x1)))))))) -> a(a(s(s(b(b(a(a(x1)))))))) b(b(b(b(a(a(b(b(x1)))))))) -> b(b(a(a(b(b(a(a(x1)))))))) a(a(a(a(b(b(a(a(x1)))))))) -> a(a(b(b(a(a(b(b(x1)))))))) Q is empty. ---------------------------------------- (3) DependencyPairsProof (EQUIVALENT) Using Dependency Pairs [AG00,LPAR04] we result in the following initial DP problem. ---------------------------------------- (4) Obligation: Q DP problem: The TRS P consists of the following rules: S(s(a(a(x1)))) -> A(a(s(s(x1)))) S(s(a(a(x1)))) -> A(s(s(x1))) S(s(a(a(x1)))) -> S(s(x1)) S(s(a(a(x1)))) -> S(x1) S(s(b(b(a(a(b(b(x1)))))))) -> A(a(s(s(b(b(a(a(x1)))))))) S(s(b(b(a(a(b(b(x1)))))))) -> A(s(s(b(b(a(a(x1))))))) S(s(b(b(a(a(b(b(x1)))))))) -> S(s(b(b(a(a(x1)))))) S(s(b(b(a(a(b(b(x1)))))))) -> S(b(b(a(a(x1))))) S(s(b(b(a(a(b(b(x1)))))))) -> B(b(a(a(x1)))) S(s(b(b(a(a(b(b(x1)))))))) -> B(a(a(x1))) S(s(b(b(a(a(b(b(x1)))))))) -> A(a(x1)) S(s(b(b(a(a(b(b(x1)))))))) -> A(x1) B(b(b(b(a(a(b(b(x1)))))))) -> B(b(a(a(b(b(a(a(x1))))))))
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