details

property	value
status	complete
benchmark	size-12-alpha-3-num-255.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n063.star.cs.uiowa.edu
space	Waldmann_07_size12

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	12.3621 seconds
cpu usage	44.9263
user time	43.2904
system time	1.63581
max virtual memory	8.3739356E7
max residence set size	4202404.0

stage attributes

key	value
starexec-result	YES

output

43.91/12.09 YES 44.51/12.28 proof of /export/starexec/sandbox/benchmark/theBenchmark.xml 44.51/12.28 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 44.51/12.28 44.51/12.28 44.51/12.28 Termination w.r.t. Q of the given QTRS could be proven: 44.51/12.28 44.51/12.28 (0) QTRS 44.51/12.28 (1) QTRS Reverse [EQUIVALENT, 0 ms] 44.51/12.28 (2) QTRS 44.51/12.28 (3) DependencyPairsProof [EQUIVALENT, 0 ms] 44.51/12.28 (4) QDP 44.51/12.28 (5) DependencyGraphProof [EQUIVALENT, 0 ms] 44.51/12.28 (6) QDP 44.51/12.28 (7) QDPOrderProof [EQUIVALENT, 173 ms] 44.51/12.28 (8) QDP 44.51/12.28 (9) QDPOrderProof [EQUIVALENT, 174 ms] 44.51/12.28 (10) QDP 44.51/12.28 (11) PisEmptyProof [EQUIVALENT, 0 ms] 44.51/12.28 (12) YES 44.51/12.28 44.51/12.28 44.51/12.28 ---------------------------------------- 44.51/12.28 44.51/12.28 (0) 44.51/12.28 Obligation: 44.51/12.28 Q restricted rewrite system: 44.51/12.28 The TRS R consists of the following rules: 44.51/12.28 44.51/12.28 a(x1) -> x1 44.51/12.28 a(b(x1)) -> b(c(b(a(x1)))) 44.51/12.28 b(x1) -> a(x1) 44.51/12.28 c(c(c(x1))) -> x1 44.51/12.28 44.51/12.28 Q is empty. 44.51/12.28 44.51/12.28 ---------------------------------------- 44.51/12.28 44.51/12.28 (1) QTRS Reverse (EQUIVALENT) 44.51/12.28 We applied the QTRS Reverse Processor [REVERSE]. 44.51/12.28 ---------------------------------------- 44.51/12.28 44.51/12.28 (2) 44.51/12.28 Obligation: 44.51/12.28 Q restricted rewrite system: 44.51/12.28 The TRS R consists of the following rules: 44.51/12.28 44.51/12.28 a(x1) -> x1 44.51/12.28 b(a(x1)) -> a(b(c(b(x1)))) 44.51/12.28 b(x1) -> a(x1) 44.51/12.28 c(c(c(x1))) -> x1 44.51/12.28 44.51/12.28 Q is empty. 44.51/12.28 44.51/12.28 ---------------------------------------- 44.51/12.28 44.51/12.28 (3) DependencyPairsProof (EQUIVALENT) 44.51/12.28 Using Dependency Pairs [AG00,LPAR04] we result in the following initial DP problem. 44.51/12.28 ---------------------------------------- 44.51/12.28 44.51/12.28 (4) 44.51/12.28 Obligation: 44.51/12.28 Q DP problem: 44.51/12.28 The TRS P consists of the following rules: 44.51/12.28 44.51/12.28 B(a(x1)) -> A(b(c(b(x1)))) 44.51/12.28 B(a(x1)) -> B(c(b(x1))) 44.51/12.28 B(a(x1)) -> C(b(x1)) 44.51/12.28 B(a(x1)) -> B(x1) 44.51/12.28 B(x1) -> A(x1) 44.51/12.28 44.51/12.28 The TRS R consists of the following rules: 44.51/12.28 44.51/12.28 a(x1) -> x1 44.51/12.28 b(a(x1)) -> a(b(c(b(x1)))) 44.51/12.28 b(x1) -> a(x1) 44.51/12.28 c(c(c(x1))) -> x1 44.51/12.28 44.51/12.28 Q is empty. 44.51/12.28 We have to consider all minimal (P,Q,R)-chains. 44.51/12.28 ---------------------------------------- 44.51/12.28 44.51/12.28 (5) DependencyGraphProof (EQUIVALENT) 44.51/12.28 The approximation of the Dependency Graph [LPAR04,FROCOS05,EDGSTAR] contains 1 SCC with 3 less nodes. 44.51/12.28 ---------------------------------------- 44.51/12.28 44.51/12.28 (6) 44.51/12.28 Obligation: 44.51/12.28 Q DP problem: 44.51/12.28 The TRS P consists of the following rules: 44.51/12.28 44.51/12.28 B(a(x1)) -> B(x1) 44.51/12.28 B(a(x1)) -> B(c(b(x1))) 44.51/12.28 44.51/12.28 The TRS R consists of the following rules: 44.51/12.28 44.51/12.28 a(x1) -> x1 44.51/12.28 b(a(x1)) -> a(b(c(b(x1)))) 44.51/12.28 b(x1) -> a(x1) 44.51/12.28 c(c(c(x1))) -> x1 popout

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all output return to SRS_Standard 2019-03-29 03.29