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SRS_Standard 2019-03-29 03.29 pair #432285499
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
n053.star.cs.uiowa.edu
space
ICFP_2010
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
9.68564 seconds
cpu usage
34.6822
user time
33.7368
system time
0.945376
max virtual memory
3.9516876E7
max residence set size
3101980.0
stage attributes
key
value
starexec-result
YES
output
33.44/9.37 YES 34.24/9.58 proof of /export/starexec/sandbox/benchmark/theBenchmark.xml 34.24/9.58 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 34.24/9.58 34.24/9.58 34.24/9.58 Termination w.r.t. Q of the given QTRS could be proven: 34.24/9.58 34.24/9.58 (0) QTRS 34.24/9.58 (1) DependencyPairsProof [EQUIVALENT, 188 ms] 34.24/9.58 (2) QDP 34.24/9.58 (3) DependencyGraphProof [EQUIVALENT, 6 ms] 34.24/9.58 (4) AND 34.24/9.58 (5) QDP 34.24/9.58 (6) UsableRulesProof [EQUIVALENT, 7 ms] 34.24/9.58 (7) QDP 34.24/9.58 (8) QDPOrderProof [EQUIVALENT, 76 ms] 34.24/9.58 (9) QDP 34.24/9.58 (10) DependencyGraphProof [EQUIVALENT, 0 ms] 34.24/9.58 (11) QDP 34.24/9.58 (12) QDPOrderProof [EQUIVALENT, 30 ms] 34.24/9.58 (13) QDP 34.24/9.58 (14) UsableRulesProof [EQUIVALENT, 0 ms] 34.24/9.58 (15) QDP 34.24/9.58 (16) QDPSizeChangeProof [EQUIVALENT, 0 ms] 34.24/9.58 (17) YES 34.24/9.58 (18) QDP 34.24/9.58 (19) UsableRulesProof [EQUIVALENT, 1 ms] 34.24/9.58 (20) QDP 34.24/9.58 (21) DependencyGraphProof [EQUIVALENT, 0 ms] 34.24/9.58 (22) TRUE 34.24/9.58 34.24/9.58 34.24/9.58 ---------------------------------------- 34.24/9.58 34.24/9.58 (0) 34.24/9.58 Obligation: 34.24/9.58 Q restricted rewrite system: 34.24/9.58 The TRS R consists of the following rules: 34.24/9.58 34.24/9.58 0(1(1(x1))) -> 0(2(1(1(x1)))) 34.24/9.58 0(1(1(x1))) -> 0(0(2(1(1(x1))))) 34.24/9.58 0(1(1(x1))) -> 0(2(1(2(1(x1))))) 34.24/9.58 0(1(1(x1))) -> 2(1(0(2(1(x1))))) 34.24/9.58 3(0(1(x1))) -> 1(3(0(0(2(4(x1)))))) 34.24/9.58 3(5(1(x1))) -> 1(3(4(5(x1)))) 34.24/9.58 3(5(1(x1))) -> 2(4(5(3(1(x1))))) 34.24/9.58 5(1(3(x1))) -> 5(3(1(2(x1)))) 34.24/9.58 0(1(0(1(x1)))) -> 1(1(0(0(2(4(x1)))))) 34.24/9.58 0(1(2(3(x1)))) -> 3(1(5(0(2(x1))))) 34.24/9.58 0(1(2(3(x1)))) -> 0(3(1(2(1(1(x1)))))) 34.24/9.58 0(1(4(1(x1)))) -> 0(2(1(2(4(1(x1)))))) 34.24/9.58 0(1(4(1(x1)))) -> 4(0(0(2(1(1(x1)))))) 34.24/9.58 0(1(5(1(x1)))) -> 0(0(2(1(1(5(x1)))))) 34.24/9.58 0(4(5(1(x1)))) -> 0(1(3(4(5(x1))))) 34.24/9.58 3(2(0(1(x1)))) -> 1(3(0(2(4(5(x1)))))) 34.24/9.58 3(5(1(1(x1)))) -> 1(3(4(5(1(x1))))) 34.24/9.58 3(5(1(1(x1)))) -> 1(5(3(1(2(x1))))) 34.24/9.58 3(5(1(3(x1)))) -> 3(5(3(1(2(x1))))) 34.24/9.58 3(5(4(1(x1)))) -> 4(1(3(4(5(x1))))) 34.24/9.58 5(1(2(3(x1)))) -> 5(5(3(1(2(x1))))) 34.24/9.58 5(2(0(1(x1)))) -> 5(3(1(0(2(4(x1)))))) 34.24/9.58 5(4(3(3(x1)))) -> 3(1(3(4(5(x1))))) 34.24/9.58 5(5(0(1(x1)))) -> 1(0(2(4(5(5(x1)))))) 34.24/9.58 0(1(2(0(1(x1))))) -> 0(3(0(2(1(1(x1)))))) 34.24/9.58 0(1(2(2(1(x1))))) -> 0(2(1(2(1(3(x1)))))) 34.24/9.58 0(3(0(5(1(x1))))) -> 0(3(4(5(0(1(x1)))))) 34.24/9.58 0(3(4(2(3(x1))))) -> 0(5(3(4(3(2(x1)))))) 34.24/9.58 0(3(5(4(1(x1))))) -> 0(5(2(4(3(1(x1)))))) 34.24/9.58 0(4(1(2(3(x1))))) -> 0(3(2(4(5(1(x1)))))) 34.24/9.58 0(4(1(2(3(x1))))) -> 4(3(1(0(0(2(x1)))))) 34.24/9.58 0(4(5(5(1(x1))))) -> 2(4(5(5(0(1(x1)))))) 34.24/9.58 0(5(1(0(1(x1))))) -> 0(1(5(5(0(1(x1)))))) 34.24/9.58 0(5(3(2(1(x1))))) -> 0(0(2(5(3(1(x1)))))) 34.24/9.58 3(0(1(2(3(x1))))) -> 0(2(3(4(3(1(x1)))))) 34.24/9.58 3(0(1(2(3(x1))))) -> 1(1(3(3(0(2(x1)))))) 34.24/9.58 3(0(1(2(3(x1))))) -> 1(2(3(3(0(2(x1)))))) 34.24/9.58 3(0(4(1(1(x1))))) -> 0(0(1(3(4(1(x1)))))) 34.24/9.58 3(2(4(1(3(x1))))) -> 4(3(4(3(1(2(x1)))))) 34.24/9.58 3(3(4(1(1(x1))))) -> 1(3(4(5(3(1(x1)))))) 34.24/9.58 3(3(5(1(1(x1))))) -> 3(1(4(5(3(1(x1)))))) 34.24/9.58 3(5(4(1(3(x1))))) -> 1(4(5(3(1(3(x1)))))) 34.24/9.58 3(5(4(4(1(x1))))) -> 4(1(4(3(4(5(x1)))))) 34.24/9.58 5(2(4(2(3(x1))))) -> 3(2(4(5(3(2(x1)))))) 34.24/9.58 5(4(2(0(1(x1))))) -> 5(1(2(0(2(4(x1)))))) 34.24/9.58 34.24/9.58 Q is empty. 34.24/9.58 34.24/9.58 ---------------------------------------- 34.24/9.58 34.24/9.58 (1) DependencyPairsProof (EQUIVALENT) 34.24/9.58 Using Dependency Pairs [AG00,LPAR04] we result in the following initial DP problem. 34.24/9.58 ---------------------------------------- 34.24/9.58 34.24/9.58 (2) 34.24/9.58 Obligation: 34.24/9.58 Q DP problem: 34.24/9.58 The TRS P consists of the following rules: 34.24/9.58 34.24/9.58 0^1(1(1(x1))) -> 0^1(2(1(1(x1)))) 34.24/9.58 0^1(1(1(x1))) -> 0^1(0(2(1(1(x1)))))
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