details

property	value
status	complete
benchmark	05.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n120.star.cs.uiowa.edu
space	Zantema_06

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	36.5324 seconds
cpu usage	140.429
user time	137.241
system time	3.18825
max virtual memory	4.0961784E7
max residence set size	5499316.0

stage attributes

key	value
starexec-result	YES

output

140.03/36.41 YES 140.03/36.44 proof of /export/starexec/sandbox/benchmark/theBenchmark.xml 140.03/36.44 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 140.03/36.44 140.03/36.44 140.03/36.44 Termination w.r.t. Q of the given QTRS could be proven: 140.03/36.44 140.03/36.44 (0) QTRS 140.03/36.44 (1) QTRS Reverse [EQUIVALENT, 0 ms] 140.03/36.44 (2) QTRS 140.03/36.44 (3) DependencyPairsProof [EQUIVALENT, 4 ms] 140.03/36.44 (4) QDP 140.03/36.44 (5) DependencyGraphProof [EQUIVALENT, 0 ms] 140.03/36.44 (6) AND 140.03/36.44 (7) QDP 140.03/36.44 (8) UsableRulesProof [EQUIVALENT, 0 ms] 140.03/36.44 (9) QDP 140.03/36.44 (10) MNOCProof [EQUIVALENT, 0 ms] 140.03/36.44 (11) QDP 140.03/36.44 (12) QDPOrderProof [EQUIVALENT, 679 ms] 140.03/36.44 (13) QDP 140.03/36.44 (14) QDPOrderProof [EQUIVALENT, 5862 ms] 140.03/36.44 (15) QDP 140.03/36.44 (16) PisEmptyProof [EQUIVALENT, 0 ms] 140.03/36.44 (17) YES 140.03/36.44 (18) QDP 140.03/36.44 (19) UsableRulesProof [EQUIVALENT, 1 ms] 140.03/36.44 (20) QDP 140.03/36.44 (21) QDPSizeChangeProof [EQUIVALENT, 0 ms] 140.03/36.44 (22) YES 140.03/36.44 140.03/36.44 140.03/36.44 ---------------------------------------- 140.03/36.44 140.03/36.44 (0) 140.03/36.44 Obligation: 140.03/36.44 Q restricted rewrite system: 140.03/36.44 The TRS R consists of the following rules: 140.03/36.44 140.03/36.44 a(a(b(b(x1)))) -> b(b(b(a(a(a(x1)))))) 140.03/36.44 a(c(x1)) -> c(a(x1)) 140.03/36.44 b(c(x1)) -> c(b(x1)) 140.03/36.44 140.03/36.44 Q is empty. 140.03/36.44 140.03/36.44 ---------------------------------------- 140.03/36.44 140.03/36.44 (1) QTRS Reverse (EQUIVALENT) 140.03/36.44 We applied the QTRS Reverse Processor [REVERSE]. 140.03/36.44 ---------------------------------------- 140.03/36.44 140.03/36.44 (2) 140.03/36.44 Obligation: 140.03/36.44 Q restricted rewrite system: 140.03/36.44 The TRS R consists of the following rules: 140.03/36.44 140.03/36.44 b(b(a(a(x1)))) -> a(a(a(b(b(b(x1)))))) 140.03/36.44 c(a(x1)) -> a(c(x1)) 140.03/36.44 c(b(x1)) -> b(c(x1)) 140.03/36.44 140.03/36.44 Q is empty. 140.03/36.44 140.03/36.44 ---------------------------------------- 140.03/36.44 140.03/36.44 (3) DependencyPairsProof (EQUIVALENT) 140.03/36.44 Using Dependency Pairs [AG00,LPAR04] we result in the following initial DP problem. 140.03/36.44 ---------------------------------------- 140.03/36.44 140.03/36.44 (4) 140.03/36.44 Obligation: 140.03/36.44 Q DP problem: 140.03/36.44 The TRS P consists of the following rules: 140.03/36.44 140.03/36.44 B(b(a(a(x1)))) -> B(b(b(x1))) 140.03/36.44 B(b(a(a(x1)))) -> B(b(x1)) 140.03/36.44 B(b(a(a(x1)))) -> B(x1) 140.03/36.44 C(a(x1)) -> C(x1) 140.03/36.44 C(b(x1)) -> B(c(x1)) 140.03/36.44 C(b(x1)) -> C(x1) 140.03/36.44 140.03/36.44 The TRS R consists of the following rules: 140.03/36.44 140.03/36.44 b(b(a(a(x1)))) -> a(a(a(b(b(b(x1)))))) 140.03/36.44 c(a(x1)) -> a(c(x1)) 140.03/36.44 c(b(x1)) -> b(c(x1)) 140.03/36.44 140.03/36.44 Q is empty. 140.03/36.44 We have to consider all minimal (P,Q,R)-chains. 140.03/36.44 ---------------------------------------- 140.03/36.44 140.03/36.44 (5) DependencyGraphProof (EQUIVALENT) 140.03/36.44 The approximation of the Dependency Graph [LPAR04,FROCOS05,EDGSTAR] contains 2 SCCs with 1 less node. 140.03/36.44 ---------------------------------------- 140.03/36.44 140.03/36.44 (6) 140.03/36.44 Complex Obligation (AND) 140.03/36.44 140.03/36.44 ---------------------------------------- 140.03/36.44 140.03/36.44 (7) popout

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all output return to SRS_Standard 2019-03-29 03.29