details

property	value
status	complete
benchmark	10.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n041.star.cs.uiowa.edu
space	Bouchare_06

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	12.0272 seconds
cpu usage	43.3425
user time	41.6296
system time	1.71288
max virtual memory	7.4899944E7
max residence set size	4400828.0

stage attributes

key	value
starexec-result	YES

output

42.40/11.74 YES 42.82/11.81 proof of /export/starexec/sandbox/benchmark/theBenchmark.xml 42.82/11.81 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 42.82/11.81 42.82/11.81 42.82/11.81 Termination w.r.t. Q of the given QTRS could be proven: 42.82/11.81 42.82/11.81 (0) QTRS 42.82/11.81 (1) QTRS Reverse [EQUIVALENT, 0 ms] 42.82/11.81 (2) QTRS 42.82/11.81 (3) DependencyPairsProof [EQUIVALENT, 13 ms] 42.82/11.81 (4) QDP 42.82/11.81 (5) DependencyGraphProof [EQUIVALENT, 0 ms] 42.82/11.81 (6) QDP 42.82/11.81 (7) QDPOrderProof [EQUIVALENT, 147 ms] 42.82/11.81 (8) QDP 42.82/11.81 (9) QDPOrderProof [EQUIVALENT, 67 ms] 42.82/11.81 (10) QDP 42.82/11.81 (11) QDPOrderProof [EQUIVALENT, 41 ms] 42.82/11.81 (12) QDP 42.82/11.81 (13) QDPOrderProof [EQUIVALENT, 22 ms] 42.82/11.81 (14) QDP 42.82/11.81 (15) DependencyGraphProof [EQUIVALENT, 0 ms] 42.82/11.81 (16) QDP 42.82/11.81 (17) UsableRulesProof [EQUIVALENT, 1 ms] 42.82/11.81 (18) QDP 42.82/11.81 (19) QDPSizeChangeProof [EQUIVALENT, 0 ms] 42.82/11.81 (20) YES 42.82/11.81 42.82/11.81 42.82/11.81 ---------------------------------------- 42.82/11.81 42.82/11.81 (0) 42.82/11.81 Obligation: 42.82/11.81 Q restricted rewrite system: 42.82/11.81 The TRS R consists of the following rules: 42.82/11.81 42.82/11.81 b(b(b(x1))) -> a(a(b(x1))) 42.82/11.81 b(a(a(x1))) -> a(a(b(x1))) 42.82/11.81 a(a(x1)) -> b(a(b(x1))) 42.82/11.81 42.82/11.81 Q is empty. 42.82/11.81 42.82/11.81 ---------------------------------------- 42.82/11.81 42.82/11.81 (1) QTRS Reverse (EQUIVALENT) 42.82/11.81 We applied the QTRS Reverse Processor [REVERSE]. 42.82/11.81 ---------------------------------------- 42.82/11.81 42.82/11.81 (2) 42.82/11.81 Obligation: 42.82/11.81 Q restricted rewrite system: 42.82/11.81 The TRS R consists of the following rules: 42.82/11.81 42.82/11.81 b(b(b(x1))) -> b(a(a(x1))) 42.82/11.81 a(a(b(x1))) -> b(a(a(x1))) 42.82/11.81 a(a(x1)) -> b(a(b(x1))) 42.82/11.81 42.82/11.81 Q is empty. 42.82/11.81 42.82/11.81 ---------------------------------------- 42.82/11.81 42.82/11.81 (3) DependencyPairsProof (EQUIVALENT) 42.82/11.81 Using Dependency Pairs [AG00,LPAR04] we result in the following initial DP problem. 42.82/11.81 ---------------------------------------- 42.82/11.81 42.82/11.81 (4) 42.82/11.81 Obligation: 42.82/11.81 Q DP problem: 42.82/11.81 The TRS P consists of the following rules: 42.82/11.81 42.82/11.81 B(b(b(x1))) -> B(a(a(x1))) 42.82/11.81 B(b(b(x1))) -> A(a(x1)) 42.82/11.81 B(b(b(x1))) -> A(x1) 42.82/11.81 A(a(b(x1))) -> B(a(a(x1))) 42.82/11.81 A(a(b(x1))) -> A(a(x1)) 42.82/11.81 A(a(b(x1))) -> A(x1) 42.82/11.81 A(a(x1)) -> B(a(b(x1))) 42.82/11.81 A(a(x1)) -> A(b(x1)) 42.82/11.81 A(a(x1)) -> B(x1) 42.82/11.81 42.82/11.81 The TRS R consists of the following rules: 42.82/11.81 42.82/11.81 b(b(b(x1))) -> b(a(a(x1))) 42.82/11.81 a(a(b(x1))) -> b(a(a(x1))) 42.82/11.81 a(a(x1)) -> b(a(b(x1))) 42.82/11.81 42.82/11.81 Q is empty. 42.82/11.81 We have to consider all minimal (P,Q,R)-chains. 42.82/11.81 ---------------------------------------- 42.82/11.81 42.82/11.81 (5) DependencyGraphProof (EQUIVALENT) 42.82/11.81 The approximation of the Dependency Graph [LPAR04,FROCOS05,EDGSTAR] contains 1 SCC with 1 less node. 42.82/11.81 ---------------------------------------- 42.82/11.81 42.82/11.81 (6) 42.82/11.81 Obligation: 42.82/11.81 Q DP problem: 42.82/11.81 The TRS P consists of the following rules: 42.82/11.81 popout

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