details

property	value
status	complete
benchmark	size-12-alpha-3-num-236.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n043.star.cs.uiowa.edu
space	Waldmann_07_size12

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	11.6429 seconds
cpu usage	84.7075
user time	81.8577
system time	2.84979
max virtual memory	1.191627E8
max residence set size	3979492.0

stage attributes

key	value
starexec-result	YES

output

41.86/11.52 YES 41.86/11.55 proof of /export/starexec/sandbox/benchmark/theBenchmark.xml 41.86/11.55 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 41.86/11.55 41.86/11.55 41.86/11.55 Termination w.r.t. Q of the given QTRS could be proven: 41.86/11.55 41.86/11.55 (0) QTRS 41.86/11.55 (1) QTRS Reverse [EQUIVALENT, 0 ms] 41.86/11.55 (2) QTRS 41.86/11.55 (3) DependencyPairsProof [EQUIVALENT, 6 ms] 41.86/11.55 (4) QDP 41.86/11.55 (5) DependencyGraphProof [EQUIVALENT, 0 ms] 41.86/11.55 (6) QDP 41.86/11.55 (7) QDPOrderProof [EQUIVALENT, 161 ms] 41.86/11.55 (8) QDP 41.86/11.55 (9) DependencyGraphProof [EQUIVALENT, 0 ms] 41.86/11.55 (10) AND 41.86/11.55 (11) QDP 41.86/11.55 (12) UsableRulesProof [EQUIVALENT, 0 ms] 41.86/11.55 (13) QDP 41.86/11.55 (14) QDPSizeChangeProof [EQUIVALENT, 0 ms] 41.86/11.55 (15) YES 41.86/11.55 (16) QDP 41.86/11.55 (17) QDPOrderProof [EQUIVALENT, 0 ms] 41.86/11.55 (18) QDP 41.86/11.55 (19) PisEmptyProof [EQUIVALENT, 0 ms] 41.86/11.55 (20) YES 41.86/11.55 41.86/11.55 41.86/11.55 ---------------------------------------- 41.86/11.55 41.86/11.55 (0) 41.86/11.55 Obligation: 41.86/11.55 Q restricted rewrite system: 41.86/11.55 The TRS R consists of the following rules: 41.86/11.55 41.86/11.55 a(x1) -> x1 41.86/11.55 a(b(x1)) -> b(c(a(x1))) 41.86/11.55 c(c(x1)) -> b(a(c(a(x1)))) 41.86/11.55 41.86/11.55 Q is empty. 41.86/11.55 41.86/11.55 ---------------------------------------- 41.86/11.55 41.86/11.55 (1) QTRS Reverse (EQUIVALENT) 41.86/11.55 We applied the QTRS Reverse Processor [REVERSE]. 41.86/11.55 ---------------------------------------- 41.86/11.55 41.86/11.55 (2) 41.86/11.55 Obligation: 41.86/11.55 Q restricted rewrite system: 41.86/11.55 The TRS R consists of the following rules: 41.86/11.55 41.86/11.55 a(x1) -> x1 41.86/11.55 b(a(x1)) -> a(c(b(x1))) 41.86/11.55 c(c(x1)) -> a(c(a(b(x1)))) 41.86/11.55 41.86/11.55 Q is empty. 41.86/11.55 41.86/11.55 ---------------------------------------- 41.86/11.55 41.86/11.55 (3) DependencyPairsProof (EQUIVALENT) 41.86/11.55 Using Dependency Pairs [AG00,LPAR04] we result in the following initial DP problem. 41.86/11.55 ---------------------------------------- 41.86/11.55 41.86/11.55 (4) 41.86/11.55 Obligation: 41.86/11.55 Q DP problem: 41.86/11.55 The TRS P consists of the following rules: 41.86/11.55 41.86/11.55 B(a(x1)) -> A(c(b(x1))) 41.86/11.55 B(a(x1)) -> C(b(x1)) 41.86/11.55 B(a(x1)) -> B(x1) 41.86/11.55 C(c(x1)) -> A(c(a(b(x1)))) 41.86/11.55 C(c(x1)) -> C(a(b(x1))) 41.86/11.55 C(c(x1)) -> A(b(x1)) 41.86/11.55 C(c(x1)) -> B(x1) 41.86/11.55 41.86/11.55 The TRS R consists of the following rules: 41.86/11.55 41.86/11.55 a(x1) -> x1 41.86/11.55 b(a(x1)) -> a(c(b(x1))) 41.86/11.55 c(c(x1)) -> a(c(a(b(x1)))) 41.86/11.55 41.86/11.55 Q is empty. 41.86/11.55 We have to consider all minimal (P,Q,R)-chains. 41.86/11.55 ---------------------------------------- 41.86/11.55 41.86/11.55 (5) DependencyGraphProof (EQUIVALENT) 41.86/11.55 The approximation of the Dependency Graph [LPAR04,FROCOS05,EDGSTAR] contains 1 SCC with 3 less nodes. 41.86/11.55 ---------------------------------------- 41.86/11.55 41.86/11.55 (6) 41.86/11.55 Obligation: 41.86/11.55 Q DP problem: 41.86/11.55 The TRS P consists of the following rules: 41.86/11.55 41.86/11.55 B(a(x1)) -> C(b(x1)) 41.86/11.55 C(c(x1)) -> C(a(b(x1))) popout

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all output return to SRS_Standard 2019-03-29 03.29