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SRS_Standard 2019-03-29 03.29 pair #432288121
details
property
value
status
complete
benchmark
214320.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n143.star.cs.uiowa.edu
space
ICFP_2010
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
8.92059 seconds
cpu usage
31.3175
user time
30.0959
system time
1.22163
max virtual memory
3.9504384E7
max residence set size
3436456.0
stage attributes
key
value
starexec-result
YES
output
30.79/8.78 YES 30.79/8.83 proof of /export/starexec/sandbox/benchmark/theBenchmark.xml 30.79/8.83 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 30.79/8.83 30.79/8.83 30.79/8.83 Termination w.r.t. Q of the given QTRS could be proven: 30.79/8.83 30.79/8.83 (0) QTRS 30.79/8.83 (1) DependencyPairsProof [EQUIVALENT, 653 ms] 30.79/8.83 (2) QDP 30.79/8.83 (3) DependencyGraphProof [EQUIVALENT, 0 ms] 30.79/8.83 (4) AND 30.79/8.83 (5) QDP 30.79/8.83 (6) QDPSizeChangeProof [EQUIVALENT, 0 ms] 30.79/8.83 (7) YES 30.79/8.83 (8) QDP 30.79/8.83 (9) UsableRulesProof [EQUIVALENT, 0 ms] 30.79/8.83 (10) QDP 30.79/8.83 (11) QDPSizeChangeProof [EQUIVALENT, 0 ms] 30.79/8.83 (12) YES 30.79/8.83 (13) QDP 30.79/8.83 (14) QDPOrderProof [EQUIVALENT, 192 ms] 30.79/8.83 (15) QDP 30.79/8.83 (16) PisEmptyProof [EQUIVALENT, 0 ms] 30.79/8.83 (17) YES 30.79/8.83 30.79/8.83 30.79/8.83 ---------------------------------------- 30.79/8.83 30.79/8.83 (0) 30.79/8.83 Obligation: 30.79/8.83 Q restricted rewrite system: 30.79/8.83 The TRS R consists of the following rules: 30.79/8.83 30.79/8.83 0(1(0(x1))) -> 0(2(1(0(x1)))) 30.79/8.83 0(1(0(x1))) -> 0(0(2(1(0(x1))))) 30.79/8.83 0(1(0(x1))) -> 0(0(2(1(2(x1))))) 30.79/8.83 0(1(0(x1))) -> 0(2(1(0(2(x1))))) 30.79/8.83 0(1(0(x1))) -> 0(3(2(1(0(x1))))) 30.79/8.83 0(1(0(x1))) -> 1(0(0(0(2(x1))))) 30.79/8.83 0(1(0(x1))) -> 1(0(0(2(0(x1))))) 30.79/8.83 0(1(0(x1))) -> 1(0(4(2(0(x1))))) 30.79/8.83 0(1(0(x1))) -> 1(4(0(4(0(x1))))) 30.79/8.83 0(1(0(x1))) -> 4(0(0(2(1(x1))))) 30.79/8.83 0(1(0(x1))) -> 5(0(0(4(1(x1))))) 30.79/8.83 0(1(0(x1))) -> 5(1(0(4(0(x1))))) 30.79/8.83 0(1(0(x1))) -> 0(2(1(0(3(2(x1)))))) 30.79/8.83 0(1(0(x1))) -> 0(4(0(4(1(3(x1)))))) 30.79/8.83 0(1(0(x1))) -> 0(4(2(2(1(0(x1)))))) 30.79/8.83 0(1(0(x1))) -> 0(5(2(1(2(0(x1)))))) 30.79/8.83 0(1(0(x1))) -> 0(5(2(5(1(0(x1)))))) 30.79/8.83 0(1(0(x1))) -> 1(0(0(5(4(4(x1)))))) 30.79/8.83 0(1(0(x1))) -> 1(0(4(4(4(0(x1)))))) 30.79/8.83 0(1(0(x1))) -> 1(5(0(0(4(2(x1)))))) 30.79/8.83 0(1(0(x1))) -> 3(0(0(4(1(4(x1)))))) 30.79/8.83 0(1(0(x1))) -> 4(5(1(0(2(0(x1)))))) 30.79/8.83 0(1(0(x1))) -> 5(5(1(0(0(2(x1)))))) 30.79/8.83 0(0(1(0(x1)))) -> 1(0(0(2(0(x1))))) 30.79/8.83 0(0(1(0(x1)))) -> 0(1(5(0(0(2(x1)))))) 30.79/8.83 0(1(0(3(x1)))) -> 1(0(3(3(0(2(x1)))))) 30.79/8.83 0(1(0(3(x1)))) -> 1(0(5(3(2(0(x1)))))) 30.79/8.83 0(1(1(0(x1)))) -> 0(4(4(1(1(0(x1)))))) 30.79/8.83 0(1(1(3(x1)))) -> 3(4(5(1(1(0(x1)))))) 30.79/8.83 0(1(2(0(x1)))) -> 1(1(0(2(0(x1))))) 30.79/8.83 0(1(2(0(x1)))) -> 3(0(2(1(0(x1))))) 30.79/8.83 0(1(2(0(x1)))) -> 4(1(0(0(2(x1))))) 30.79/8.83 0(1(2(0(x1)))) -> 0(0(4(2(5(1(x1)))))) 30.79/8.83 0(1(2(0(x1)))) -> 1(1(2(0(4(0(x1)))))) 30.79/8.83 0(1(2(0(x1)))) -> 3(0(2(1(0(4(x1)))))) 30.79/8.83 0(1(3(0(x1)))) -> 1(0(3(0(2(x1))))) 30.79/8.83 0(1(4(0(x1)))) -> 0(3(4(2(1(0(x1)))))) 30.79/8.83 0(1(5(0(x1)))) -> 0(5(1(4(0(x1))))) 30.79/8.83 0(1(5(0(x1)))) -> 1(5(3(0(2(0(x1)))))) 30.79/8.83 0(3(1(0(x1)))) -> 1(2(3(0(5(0(x1)))))) 30.79/8.83 5(0(1(0(x1)))) -> 1(4(0(0(5(1(x1)))))) 30.79/8.83 5(0(1(0(x1)))) -> 2(1(0(0(4(5(x1)))))) 30.79/8.83 0(1(0(0(0(x1))))) -> 0(0(5(1(0(0(x1)))))) 30.79/8.83 0(1(2(4(0(x1))))) -> 0(0(5(4(2(1(x1)))))) 30.79/8.83 0(1(2(5(0(x1))))) -> 1(0(2(0(5(4(x1)))))) 30.79/8.83 0(1(4(0(0(x1))))) -> 0(0(0(4(1(0(x1)))))) 30.79/8.83 0(1(4(5(0(x1))))) -> 1(5(0(0(4(2(x1)))))) 30.79/8.83 0(3(0(1(0(x1))))) -> 0(3(0(0(2(1(x1)))))) 30.79/8.83 3(0(3(1(0(x1))))) -> 0(1(3(2(3(0(x1)))))) 30.79/8.83 5(0(1(2(0(x1))))) -> 0(0(5(2(1(0(x1)))))) 30.79/8.83 30.79/8.83 Q is empty. 30.79/8.83 30.79/8.83 ---------------------------------------- 30.79/8.83 30.79/8.83 (1) DependencyPairsProof (EQUIVALENT) 30.79/8.83 Using Dependency Pairs [AG00,LPAR04] we result in the following initial DP problem. 30.79/8.83 ---------------------------------------- 30.79/8.83 30.79/8.83 (2) 30.79/8.83 Obligation: 30.79/8.83 Q DP problem: 30.79/8.83 The TRS P consists of the following rules: 30.79/8.83 30.79/8.83 0^1(1(0(x1))) -> 0^1(2(1(0(x1)))) 30.79/8.83 0^1(1(0(x1))) -> 0^1(0(2(1(0(x1)))))
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