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SRS_Standard 2019-03-29 03.29 pair #432287917
details
property
value
status
complete
benchmark
214091.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n159.star.cs.uiowa.edu
space
ICFP_2010
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
5.13924 seconds
cpu usage
16.8169
user time
16.1594
system time
0.657509
max virtual memory
2.0156868E7
max residence set size
2107980.0
stage attributes
key
value
starexec-result
YES
output
15.19/4.73 YES 15.56/4.76 proof of /export/starexec/sandbox/benchmark/theBenchmark.xml 15.56/4.76 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 15.56/4.76 15.56/4.76 15.56/4.76 Termination w.r.t. Q of the given QTRS could be proven: 15.56/4.76 15.56/4.76 (0) QTRS 15.56/4.76 (1) DependencyPairsProof [EQUIVALENT, 154 ms] 15.56/4.76 (2) QDP 15.56/4.76 (3) DependencyGraphProof [EQUIVALENT, 2 ms] 15.56/4.76 (4) AND 15.56/4.76 (5) QDP 15.56/4.76 (6) UsableRulesProof [EQUIVALENT, 0 ms] 15.56/4.76 (7) QDP 15.56/4.76 (8) QDPSizeChangeProof [EQUIVALENT, 0 ms] 15.56/4.76 (9) YES 15.56/4.76 (10) QDP 15.56/4.76 (11) UsableRulesProof [EQUIVALENT, 0 ms] 15.56/4.76 (12) QDP 15.56/4.76 (13) QDPSizeChangeProof [EQUIVALENT, 4 ms] 15.56/4.76 (14) YES 15.56/4.76 15.56/4.76 15.56/4.76 ---------------------------------------- 15.56/4.76 15.56/4.76 (0) 15.56/4.76 Obligation: 15.56/4.76 Q restricted rewrite system: 15.56/4.76 The TRS R consists of the following rules: 15.56/4.76 15.56/4.76 0(1(2(x1))) -> 0(2(1(0(x1)))) 15.56/4.76 0(1(2(x1))) -> 1(0(2(3(x1)))) 15.56/4.76 0(1(2(x1))) -> 0(2(4(1(5(x1))))) 15.56/4.76 0(1(2(x1))) -> 0(3(2(1(0(x1))))) 15.56/4.76 0(1(2(x1))) -> 1(0(3(2(3(x1))))) 15.56/4.76 0(1(2(x1))) -> 0(1(3(4(2(3(x1)))))) 15.56/4.76 0(5(2(x1))) -> 0(2(4(5(3(x1))))) 15.56/4.76 0(5(2(x1))) -> 5(4(2(3(0(4(x1)))))) 15.56/4.76 2(0(1(x1))) -> 3(0(2(1(x1)))) 15.56/4.76 2(0(1(x1))) -> 0(2(1(1(4(x1))))) 15.56/4.76 2(0(1(x1))) -> 0(3(2(4(1(x1))))) 15.56/4.76 2(0(1(x1))) -> 3(0(2(1(4(x1))))) 15.56/4.76 2(0(1(x1))) -> 0(2(2(3(4(1(x1)))))) 15.56/4.76 2(0(1(x1))) -> 0(3(2(3(1(1(x1)))))) 15.56/4.76 2(0(1(x1))) -> 4(0(4(2(1(4(x1)))))) 15.56/4.76 2(5(1(x1))) -> 0(2(1(5(1(x1))))) 15.56/4.76 2(5(1(x1))) -> 1(4(5(4(2(x1))))) 15.56/4.76 2(5(1(x1))) -> 5(0(2(1(4(x1))))) 15.56/4.76 2(5(1(x1))) -> 5(2(1(4(1(x1))))) 15.56/4.76 2(5(1(x1))) -> 1(5(0(2(4(1(x1)))))) 15.56/4.76 2(5(1(x1))) -> 5(2(1(1(1(1(x1)))))) 15.56/4.76 0(1(2(1(x1)))) -> 3(1(4(0(2(1(x1)))))) 15.56/4.76 0(1(3(1(x1)))) -> 5(0(3(1(1(x1))))) 15.56/4.76 0(1(3(1(x1)))) -> 1(0(3(4(2(1(x1)))))) 15.56/4.76 0(1(5(1(x1)))) -> 5(0(3(1(1(x1))))) 15.56/4.76 0(2(1(2(x1)))) -> 0(2(2(1(5(x1))))) 15.56/4.76 0(2(5(1(x1)))) -> 1(1(5(0(2(1(x1)))))) 15.56/4.76 0(5(3(1(x1)))) -> 0(1(4(4(3(5(x1)))))) 15.56/4.76 0(5(5(2(x1)))) -> 5(4(2(3(5(0(x1)))))) 15.56/4.76 2(0(1(2(x1)))) -> 0(2(3(2(1(1(x1)))))) 15.56/4.76 2(0(1(2(x1)))) -> 4(0(2(1(1(2(x1)))))) 15.56/4.76 2(0(4(1(x1)))) -> 3(0(2(4(1(x1))))) 15.56/4.76 2(0(5(1(x1)))) -> 5(4(2(1(0(x1))))) 15.56/4.76 2(2(5(1(x1)))) -> 3(2(2(4(5(1(x1)))))) 15.56/4.76 2(4(0(1(x1)))) -> 1(0(2(4(4(x1))))) 15.56/4.76 2(4(0(1(x1)))) -> 3(0(0(2(4(1(x1)))))) 15.56/4.76 2(4(0(1(x1)))) -> 5(4(0(2(1(1(x1)))))) 15.56/4.76 2(5(2(1(x1)))) -> 1(5(2(2(3(1(x1)))))) 15.56/4.76 2(5(4(1(x1)))) -> 4(5(2(1(4(4(x1)))))) 15.56/4.76 2(5(5(1(x1)))) -> 1(5(4(2(4(5(x1)))))) 15.56/4.76 2(5(5(2(x1)))) -> 5(5(2(3(2(x1))))) 15.56/4.76 0(1(3(0(1(x1))))) -> 0(3(1(0(1(1(x1)))))) 15.56/4.76 0(2(4(3(1(x1))))) -> 1(3(4(2(3(0(x1)))))) 15.56/4.76 0(2(4(3(1(x1))))) -> 4(0(3(2(1(0(x1)))))) 15.56/4.76 0(2(5(3(1(x1))))) -> 5(0(2(3(5(1(x1)))))) 15.56/4.76 2(0(5(4(1(x1))))) -> 0(4(5(3(2(1(x1)))))) 15.56/4.76 2(2(0(1(2(x1))))) -> 2(4(0(2(2(1(x1)))))) 15.56/4.76 2(4(0(5(1(x1))))) -> 1(4(5(0(4(2(x1)))))) 15.56/4.76 2(4(2(3(1(x1))))) -> 4(2(2(3(3(1(x1)))))) 15.56/4.76 2(5(2(0(1(x1))))) -> 0(2(4(1(5(2(x1)))))) 15.56/4.76 15.56/4.76 Q is empty. 15.56/4.76 15.56/4.76 ---------------------------------------- 15.56/4.76 15.56/4.76 (1) DependencyPairsProof (EQUIVALENT) 15.56/4.76 Using Dependency Pairs [AG00,LPAR04] we result in the following initial DP problem. 15.56/4.76 ---------------------------------------- 15.56/4.76 15.56/4.76 (2) 15.56/4.76 Obligation: 15.56/4.76 Q DP problem: 15.56/4.76 The TRS P consists of the following rules: 15.56/4.76 15.56/4.76 0^1(1(2(x1))) -> 0^1(2(1(0(x1)))) 15.56/4.76 0^1(1(2(x1))) -> 2^1(1(0(x1))) 15.56/4.76 0^1(1(2(x1))) -> 0^1(x1) 15.56/4.76 0^1(1(2(x1))) -> 0^1(2(3(x1))) 15.56/4.76 0^1(1(2(x1))) -> 2^1(3(x1))
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