details

property	value
status	complete
benchmark	size-12-alpha-3-num-536.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n160.star.cs.uiowa.edu
space	Waldmann_07_size12

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	9.2563 seconds
cpu usage	33.1631
user time	31.6525
system time	1.5106
max virtual memory	9.9581912E7
max residence set size	4028780.0

stage attributes

key	value
starexec-result	YES

output

32.80/9.15 YES 32.99/9.19 proof of /export/starexec/sandbox/benchmark/theBenchmark.xml 32.99/9.19 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 32.99/9.19 32.99/9.19 32.99/9.19 Termination w.r.t. Q of the given QTRS could be proven: 32.99/9.19 32.99/9.19 (0) QTRS 32.99/9.19 (1) QTRS Reverse [EQUIVALENT, 0 ms] 32.99/9.19 (2) QTRS 32.99/9.19 (3) Overlay + Local Confluence [EQUIVALENT, 0 ms] 32.99/9.19 (4) QTRS 32.99/9.19 (5) DependencyPairsProof [EQUIVALENT, 23 ms] 32.99/9.19 (6) QDP 32.99/9.19 (7) QDPOrderProof [EQUIVALENT, 141 ms] 32.99/9.19 (8) QDP 32.99/9.19 (9) DependencyGraphProof [EQUIVALENT, 0 ms] 32.99/9.19 (10) QDP 32.99/9.19 (11) QDPOrderProof [EQUIVALENT, 0 ms] 32.99/9.19 (12) QDP 32.99/9.19 (13) PisEmptyProof [EQUIVALENT, 0 ms] 32.99/9.19 (14) YES 32.99/9.19 32.99/9.19 32.99/9.19 ---------------------------------------- 32.99/9.19 32.99/9.19 (0) 32.99/9.19 Obligation: 32.99/9.19 Q restricted rewrite system: 32.99/9.19 The TRS R consists of the following rules: 32.99/9.19 32.99/9.19 a(a(b(x1))) -> c(b(a(a(a(x1))))) 32.99/9.19 a(c(x1)) -> b(a(x1)) 32.99/9.19 32.99/9.19 Q is empty. 32.99/9.19 32.99/9.19 ---------------------------------------- 32.99/9.19 32.99/9.19 (1) QTRS Reverse (EQUIVALENT) 32.99/9.19 We applied the QTRS Reverse Processor [REVERSE]. 32.99/9.19 ---------------------------------------- 32.99/9.19 32.99/9.19 (2) 32.99/9.19 Obligation: 32.99/9.19 Q restricted rewrite system: 32.99/9.19 The TRS R consists of the following rules: 32.99/9.19 32.99/9.19 b(a(a(x1))) -> a(a(a(b(c(x1))))) 32.99/9.19 c(a(x1)) -> a(b(x1)) 32.99/9.19 32.99/9.19 Q is empty. 32.99/9.19 32.99/9.19 ---------------------------------------- 32.99/9.19 32.99/9.19 (3) Overlay + Local Confluence (EQUIVALENT) 32.99/9.19 The TRS is overlay and locally confluent. By [NOC] we can switch to innermost. 32.99/9.19 ---------------------------------------- 32.99/9.19 32.99/9.19 (4) 32.99/9.19 Obligation: 32.99/9.19 Q restricted rewrite system: 32.99/9.19 The TRS R consists of the following rules: 32.99/9.19 32.99/9.19 b(a(a(x1))) -> a(a(a(b(c(x1))))) 32.99/9.19 c(a(x1)) -> a(b(x1)) 32.99/9.19 32.99/9.19 The set Q consists of the following terms: 32.99/9.19 32.99/9.19 b(a(a(x0))) 32.99/9.19 c(a(x0)) 32.99/9.19 32.99/9.19 32.99/9.19 ---------------------------------------- 32.99/9.19 32.99/9.19 (5) DependencyPairsProof (EQUIVALENT) 32.99/9.19 Using Dependency Pairs [AG00,LPAR04] we result in the following initial DP problem. 32.99/9.19 ---------------------------------------- 32.99/9.19 32.99/9.19 (6) 32.99/9.19 Obligation: 32.99/9.19 Q DP problem: 32.99/9.19 The TRS P consists of the following rules: 32.99/9.19 32.99/9.19 B(a(a(x1))) -> B(c(x1)) 32.99/9.19 B(a(a(x1))) -> C(x1) 32.99/9.19 C(a(x1)) -> B(x1) 32.99/9.19 32.99/9.19 The TRS R consists of the following rules: 32.99/9.19 32.99/9.19 b(a(a(x1))) -> a(a(a(b(c(x1))))) 32.99/9.19 c(a(x1)) -> a(b(x1)) 32.99/9.19 32.99/9.19 The set Q consists of the following terms: 32.99/9.19 32.99/9.19 b(a(a(x0))) 32.99/9.19 c(a(x0)) 32.99/9.19 32.99/9.19 We have to consider all minimal (P,Q,R)-chains. 32.99/9.19 ---------------------------------------- 32.99/9.19 popout

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all output return to SRS_Standard 2019-03-29 03.29