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SRS_Standard 2019-03-29 03.29 pair #432292249
details
property
value
status
complete
benchmark
z008.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n107.star.cs.uiowa.edu
space
Zantema_04
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
7.23443 seconds
cpu usage
24.3826
user time
23.2293
system time
1.15331
max virtual memory
2.1021376E7
max residence set size
3270992.0
stage attributes
key
value
starexec-result
YES
output
24.09/7.10 YES 24.09/7.11 proof of /export/starexec/sandbox/benchmark/theBenchmark.xml 24.09/7.11 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 24.09/7.11 24.09/7.11 24.09/7.11 Termination w.r.t. Q of the given QTRS could be proven: 24.09/7.11 24.09/7.11 (0) QTRS 24.09/7.11 (1) QTRS Reverse [EQUIVALENT, 0 ms] 24.09/7.11 (2) QTRS 24.09/7.11 (3) DependencyPairsProof [EQUIVALENT, 12 ms] 24.09/7.11 (4) QDP 24.09/7.11 (5) DependencyGraphProof [EQUIVALENT, 0 ms] 24.09/7.11 (6) AND 24.09/7.11 (7) QDP 24.09/7.11 (8) UsableRulesProof [EQUIVALENT, 0 ms] 24.09/7.11 (9) QDP 24.09/7.11 (10) MRRProof [EQUIVALENT, 62 ms] 24.09/7.11 (11) QDP 24.09/7.11 (12) DependencyGraphProof [EQUIVALENT, 0 ms] 24.09/7.11 (13) AND 24.09/7.11 (14) QDP 24.09/7.11 (15) QDPOrderProof [EQUIVALENT, 0 ms] 24.09/7.11 (16) QDP 24.09/7.11 (17) PisEmptyProof [EQUIVALENT, 0 ms] 24.09/7.11 (18) YES 24.09/7.11 (19) QDP 24.09/7.11 (20) QDPOrderProof [EQUIVALENT, 0 ms] 24.09/7.11 (21) QDP 24.09/7.11 (22) PisEmptyProof [EQUIVALENT, 0 ms] 24.09/7.11 (23) YES 24.09/7.11 (24) QDP 24.09/7.11 (25) UsableRulesProof [EQUIVALENT, 0 ms] 24.09/7.11 (26) QDP 24.09/7.11 (27) QDPOrderProof [EQUIVALENT, 9 ms] 24.09/7.11 (28) QDP 24.09/7.11 (29) QDPOrderProof [EQUIVALENT, 0 ms] 24.09/7.11 (30) QDP 24.09/7.11 (31) PisEmptyProof [EQUIVALENT, 0 ms] 24.09/7.11 (32) YES 24.09/7.11 24.09/7.11 24.09/7.11 ---------------------------------------- 24.09/7.11 24.09/7.11 (0) 24.09/7.11 Obligation: 24.09/7.11 Q restricted rewrite system: 24.09/7.11 The TRS R consists of the following rules: 24.09/7.11 24.09/7.11 a(s(x1)) -> s(a(x1)) 24.09/7.11 b(a(b(s(x1)))) -> a(b(s(a(x1)))) 24.09/7.11 b(a(b(b(x1)))) -> a(b(a(b(x1)))) 24.09/7.11 a(b(a(a(x1)))) -> b(a(b(a(x1)))) 24.09/7.11 24.09/7.11 Q is empty. 24.09/7.11 24.09/7.11 ---------------------------------------- 24.09/7.11 24.09/7.11 (1) QTRS Reverse (EQUIVALENT) 24.09/7.11 We applied the QTRS Reverse Processor [REVERSE]. 24.09/7.11 ---------------------------------------- 24.09/7.11 24.09/7.11 (2) 24.09/7.11 Obligation: 24.09/7.11 Q restricted rewrite system: 24.09/7.11 The TRS R consists of the following rules: 24.09/7.11 24.09/7.11 s(a(x1)) -> a(s(x1)) 24.09/7.11 s(b(a(b(x1)))) -> a(s(b(a(x1)))) 24.09/7.11 b(b(a(b(x1)))) -> b(a(b(a(x1)))) 24.09/7.11 a(a(b(a(x1)))) -> a(b(a(b(x1)))) 24.09/7.11 24.09/7.11 Q is empty. 24.09/7.11 24.09/7.11 ---------------------------------------- 24.09/7.11 24.09/7.11 (3) DependencyPairsProof (EQUIVALENT) 24.09/7.11 Using Dependency Pairs [AG00,LPAR04] we result in the following initial DP problem. 24.09/7.11 ---------------------------------------- 24.09/7.11 24.09/7.11 (4) 24.09/7.11 Obligation: 24.09/7.11 Q DP problem: 24.09/7.11 The TRS P consists of the following rules: 24.09/7.11 24.09/7.11 S(a(x1)) -> A(s(x1)) 24.09/7.11 S(a(x1)) -> S(x1) 24.09/7.11 S(b(a(b(x1)))) -> A(s(b(a(x1)))) 24.09/7.11 S(b(a(b(x1)))) -> S(b(a(x1))) 24.09/7.11 S(b(a(b(x1)))) -> B(a(x1)) 24.09/7.11 S(b(a(b(x1)))) -> A(x1) 24.09/7.11 B(b(a(b(x1)))) -> B(a(b(a(x1)))) 24.09/7.11 B(b(a(b(x1)))) -> A(b(a(x1))) 24.09/7.11 B(b(a(b(x1)))) -> B(a(x1)) 24.09/7.11 B(b(a(b(x1)))) -> A(x1) 24.09/7.11 A(a(b(a(x1)))) -> A(b(a(b(x1)))) 24.09/7.11 A(a(b(a(x1)))) -> B(a(b(x1))) 24.09/7.11 A(a(b(a(x1)))) -> A(b(x1)) 24.09/7.11 A(a(b(a(x1)))) -> B(x1) 24.09/7.11
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