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SRS Standard pair #487516457
details
property
value
status
complete
benchmark
212892.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n003.star.cs.uiowa.edu
space
ICFP_2010
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
7.83148980141 seconds
cpu usage
27.129187335
max memory
2.931150848E9
stage attributes
key
value
output-size
38967
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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty Termination w.r.t. Q of the given QTRS could be proven: (0) QTRS (1) QTRS Reverse [EQUIVALENT, 0 ms] (2) QTRS (3) DependencyPairsProof [EQUIVALENT, 198 ms] (4) QDP (5) DependencyGraphProof [EQUIVALENT, 0 ms] (6) AND (7) QDP (8) UsableRulesProof [EQUIVALENT, 0 ms] (9) QDP (10) QDPOrderProof [EQUIVALENT, 21 ms] (11) QDP (12) DependencyGraphProof [EQUIVALENT, 0 ms] (13) TRUE (14) QDP (15) QDPOrderProof [EQUIVALENT, 276 ms] (16) QDP (17) DependencyGraphProof [EQUIVALENT, 0 ms] (18) AND (19) QDP (20) QDPOrderProof [EQUIVALENT, 121 ms] (21) QDP (22) PisEmptyProof [EQUIVALENT, 0 ms] (23) YES (24) QDP (25) QDPOrderProof [EQUIVALENT, 120 ms] (26) QDP (27) PisEmptyProof [EQUIVALENT, 0 ms] (28) YES ---------------------------------------- (0) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: 0(0(x1)) -> 1(0(2(0(2(x1))))) 0(0(x1)) -> 0(2(3(4(0(2(x1)))))) 0(3(x1)) -> 0(2(3(2(x1)))) 0(3(x1)) -> 2(0(2(1(3(x1))))) 0(3(x1)) -> 2(3(0(2(2(x1))))) 0(3(x1)) -> 0(2(2(2(3(2(x1)))))) 0(0(0(x1))) -> 0(2(0(0(x1)))) 0(0(4(x1))) -> 2(4(0(0(3(2(x1)))))) 0(0(5(x1))) -> 0(5(2(0(x1)))) 0(1(3(x1))) -> 3(2(2(1(0(x1))))) 0(3(0(x1))) -> 2(0(2(3(4(0(x1)))))) 0(4(3(x1))) -> 3(0(2(4(x1)))) 0(4(3(x1))) -> 1(0(2(1(3(4(x1)))))) 0(4(3(x1))) -> 2(2(4(3(4(0(x1)))))) 0(4(5(x1))) -> 2(4(0(5(2(5(x1)))))) 0(4(5(x1))) -> 5(3(2(4(4(0(x1)))))) 0(5(0(x1))) -> 0(5(2(4(0(x1))))) 0(5(0(x1))) -> 5(0(2(3(2(0(x1)))))) 0(5(3(x1))) -> 3(2(5(3(2(0(x1)))))) 1(0(0(x1))) -> 1(0(2(5(0(2(x1)))))) 1(0(3(x1))) -> 2(1(3(0(5(2(x1)))))) 1(0(4(x1))) -> 3(0(2(1(4(x1))))) 1(0(4(x1))) -> 2(1(2(1(4(0(x1)))))) 3(0(0(x1))) -> 3(0(2(0(x1)))) 3(0(3(x1))) -> 3(0(2(3(x1)))) 3(0(3(x1))) -> 3(3(2(2(0(x1))))) 3(0(4(x1))) -> 2(2(3(4(0(x1))))) 3(0(4(x1))) -> 2(3(4(2(0(3(x1)))))) 3(0(4(x1))) -> 5(5(2(4(0(3(x1)))))) 3(3(4(x1))) -> 3(2(1(3(2(4(x1)))))) 3(5(0(x1))) -> 3(5(1(0(2(1(x1)))))) 4(0(4(x1))) -> 0(2(4(4(0(x1))))) 4(0(4(x1))) -> 1(4(0(2(4(0(x1)))))) 0(0(4(3(x1)))) -> 3(0(0(2(1(4(x1)))))) 0(0(5(3(x1)))) -> 0(5(2(5(0(3(x1)))))) 0(1(0(3(x1)))) -> 2(1(0(3(0(x1))))) 0(1(1(0(x1)))) -> 2(1(0(0(1(2(x1)))))) 0(4(0(0(x1)))) -> 0(4(0(2(1(0(x1)))))) 0(4(1(3(x1)))) -> 2(1(4(2(0(3(x1)))))) 0(4(5(3(x1)))) -> 4(3(2(5(0(x1))))) 0(4(5(3(x1)))) -> 4(3(5(0(2(4(x1)))))) 0(5(0(4(x1)))) -> 5(0(0(2(4(x1))))) 0(5(5(3(x1)))) -> 2(3(5(5(0(x1))))) 1(3(0(4(x1)))) -> 4(0(1(2(3(x1))))) 4(0(3(5(x1)))) -> 5(2(3(4(2(0(x1)))))) 0(0(1(0(4(x1))))) -> 0(0(0(1(4(2(x1)))))) 0(0(5(5(3(x1))))) -> 0(5(0(3(2(5(x1)))))) 3(0(4(3(4(x1))))) -> 3(0(3(4(2(4(x1)))))) 3(3(0(4(5(x1))))) -> 1(4(5(3(0(3(x1))))))
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