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SRS Standard pair #487087714
details
property
value
status
complete
benchmark
214011.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n148.star.cs.uiowa.edu
space
ICFP_2010
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
6.01304 seconds
cpu usage
20.7165
user time
19.9329
system time
0.783556
max virtual memory
3.7638588E7
max residence set size
2002108.0
stage attributes
key
value
starexec-result
YES
output
YES proof of /export/starexec/sandbox/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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty Termination w.r.t. Q of the given QTRS could be proven: (0) QTRS (1) DependencyPairsProof [EQUIVALENT, 177 ms] (2) QDP (3) DependencyGraphProof [EQUIVALENT, 2 ms] (4) AND (5) QDP (6) UsableRulesProof [EQUIVALENT, 1 ms] (7) QDP (8) QDPOrderProof [EQUIVALENT, 76 ms] (9) QDP (10) DependencyGraphProof [EQUIVALENT, 0 ms] (11) QDP (12) QDPOrderProof [EQUIVALENT, 0 ms] (13) QDP (14) UsableRulesProof [EQUIVALENT, 0 ms] (15) QDP (16) QDPSizeChangeProof [EQUIVALENT, 0 ms] (17) YES (18) QDP (19) UsableRulesProof [EQUIVALENT, 0 ms] (20) QDP (21) DependencyGraphProof [EQUIVALENT, 0 ms] (22) TRUE ---------------------------------------- (0) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: 0(1(1(x1))) -> 0(2(1(1(x1)))) 0(1(1(x1))) -> 0(0(2(1(1(x1))))) 0(1(1(x1))) -> 0(2(1(2(1(x1))))) 0(1(1(x1))) -> 2(1(0(2(1(x1))))) 3(0(1(x1))) -> 1(3(0(0(2(4(x1)))))) 3(5(1(x1))) -> 1(3(4(5(x1)))) 3(5(1(x1))) -> 2(4(5(3(1(x1))))) 5(1(3(x1))) -> 5(3(1(2(x1)))) 0(1(0(1(x1)))) -> 1(1(0(0(2(4(x1)))))) 0(1(2(3(x1)))) -> 3(1(5(0(2(x1))))) 0(1(2(3(x1)))) -> 0(3(1(2(1(1(x1)))))) 0(1(4(1(x1)))) -> 0(2(1(2(4(1(x1)))))) 0(1(4(1(x1)))) -> 4(0(0(2(1(1(x1)))))) 0(1(5(1(x1)))) -> 0(0(2(1(1(5(x1)))))) 0(4(5(1(x1)))) -> 0(1(3(4(5(x1))))) 3(2(0(1(x1)))) -> 1(3(0(2(4(5(x1)))))) 3(5(1(1(x1)))) -> 1(3(4(5(1(x1))))) 3(5(1(1(x1)))) -> 1(5(3(1(2(x1))))) 3(5(1(3(x1)))) -> 3(5(3(1(2(x1))))) 3(5(4(1(x1)))) -> 4(1(3(4(5(x1))))) 5(1(2(3(x1)))) -> 5(5(3(1(2(x1))))) 5(2(0(1(x1)))) -> 5(3(1(0(2(4(x1)))))) 5(4(3(3(x1)))) -> 3(1(3(4(5(x1))))) 5(5(0(1(x1)))) -> 1(0(2(4(5(5(x1)))))) 0(1(2(0(1(x1))))) -> 0(3(0(2(1(1(x1)))))) 0(1(2(2(1(x1))))) -> 0(2(1(2(1(3(x1)))))) 0(3(0(5(1(x1))))) -> 0(3(4(5(0(1(x1)))))) 0(3(4(2(3(x1))))) -> 0(5(3(4(3(2(x1)))))) 0(3(5(4(1(x1))))) -> 0(5(2(4(3(1(x1)))))) 0(4(1(2(3(x1))))) -> 0(3(2(4(5(1(x1)))))) 0(4(1(2(3(x1))))) -> 4(3(1(0(0(2(x1)))))) 0(4(5(5(1(x1))))) -> 2(4(5(5(0(1(x1)))))) 0(5(1(0(1(x1))))) -> 0(1(5(5(0(1(x1)))))) 0(5(3(2(1(x1))))) -> 0(0(2(5(3(1(x1)))))) 3(0(1(2(3(x1))))) -> 0(2(3(4(3(1(x1)))))) 3(0(1(2(3(x1))))) -> 1(1(3(3(0(2(x1)))))) 3(0(1(2(3(x1))))) -> 1(2(3(3(0(2(x1)))))) 3(0(4(1(1(x1))))) -> 0(0(1(3(4(1(x1)))))) 3(2(4(1(3(x1))))) -> 4(3(4(3(1(2(x1)))))) 3(3(4(1(1(x1))))) -> 1(3(4(5(3(1(x1)))))) 3(3(5(1(1(x1))))) -> 3(1(4(5(3(1(x1)))))) 3(5(4(1(3(x1))))) -> 1(4(5(3(1(3(x1)))))) 3(5(4(4(1(x1))))) -> 4(1(4(3(4(5(x1)))))) 5(2(4(2(3(x1))))) -> 3(2(4(5(3(2(x1)))))) 5(4(2(0(1(x1))))) -> 5(1(2(0(2(4(x1)))))) Q is empty. ---------------------------------------- (1) DependencyPairsProof (EQUIVALENT) Using Dependency Pairs [AG00,LPAR04] we result in the following initial DP problem. ---------------------------------------- (2) Obligation: Q DP problem: The TRS P consists of the following rules: 0^1(1(1(x1))) -> 0^1(2(1(1(x1)))) 0^1(1(1(x1))) -> 0^1(0(2(1(1(x1)))))
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