details

property	value
status	complete
benchmark	sym-5.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n031.star.cs.uiowa.edu
space	Waldmann_06_SRS

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	83.0721 seconds
cpu usage	322.455
user time	317.958
system time	4.49655
max virtual memory	1.04033272E8
max residence set size	5935848.0

stage attributes

key	value
starexec-result	YES

output

321.92/82.95 YES 321.92/83.00 proof of /export/starexec/sandbox/benchmark/theBenchmark.xml 321.92/83.00 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 321.92/83.00 321.92/83.00 321.92/83.00 Termination w.r.t. Q of the given QTRS could be proven: 321.92/83.00 321.92/83.00 (0) QTRS 321.92/83.00 (1) QTRS Reverse [EQUIVALENT, 0 ms] 321.92/83.00 (2) QTRS 321.92/83.00 (3) DependencyPairsProof [EQUIVALENT, 19 ms] 321.92/83.00 (4) QDP 321.92/83.00 (5) MRRProof [EQUIVALENT, 0 ms] 321.92/83.00 (6) QDP 321.92/83.00 (7) QDPOrderProof [EQUIVALENT, 2389 ms] 321.92/83.00 (8) QDP 321.92/83.00 (9) DependencyGraphProof [EQUIVALENT, 0 ms] 321.92/83.00 (10) TRUE 321.92/83.00 321.92/83.00 321.92/83.00 ---------------------------------------- 321.92/83.00 321.92/83.00 (0) 321.92/83.00 Obligation: 321.92/83.00 Q restricted rewrite system: 321.92/83.00 The TRS R consists of the following rules: 321.92/83.00 321.92/83.00 a(a(a(x1))) -> b(b(b(x1))) 321.92/83.00 b(b(b(b(x1)))) -> a(b(b(a(x1)))) 321.92/83.00 321.92/83.00 Q is empty. 321.92/83.00 321.92/83.00 ---------------------------------------- 321.92/83.00 321.92/83.00 (1) QTRS Reverse (EQUIVALENT) 321.92/83.00 We applied the QTRS Reverse Processor [REVERSE]. 321.92/83.00 ---------------------------------------- 321.92/83.00 321.92/83.00 (2) 321.92/83.00 Obligation: 321.92/83.00 Q restricted rewrite system: 321.92/83.00 The TRS R consists of the following rules: 321.92/83.00 321.92/83.00 a(a(a(x1))) -> b(b(b(x1))) 321.92/83.00 b(b(b(b(x1)))) -> a(b(b(a(x1)))) 321.92/83.00 321.92/83.00 Q is empty. 321.92/83.00 321.92/83.00 ---------------------------------------- 321.92/83.00 321.92/83.00 (3) DependencyPairsProof (EQUIVALENT) 321.92/83.00 Using Dependency Pairs [AG00,LPAR04] we result in the following initial DP problem. 321.92/83.00 ---------------------------------------- 321.92/83.00 321.92/83.00 (4) 321.92/83.00 Obligation: 321.92/83.00 Q DP problem: 321.92/83.00 The TRS P consists of the following rules: 321.92/83.00 321.92/83.00 A(a(a(x1))) -> B(b(b(x1))) 321.92/83.00 A(a(a(x1))) -> B(b(x1)) 321.92/83.00 A(a(a(x1))) -> B(x1) 321.92/83.00 B(b(b(b(x1)))) -> A(b(b(a(x1)))) 321.92/83.00 B(b(b(b(x1)))) -> B(b(a(x1))) 321.92/83.00 B(b(b(b(x1)))) -> B(a(x1)) 321.92/83.00 B(b(b(b(x1)))) -> A(x1) 321.92/83.00 321.92/83.00 The TRS R consists of the following rules: 321.92/83.00 321.92/83.00 a(a(a(x1))) -> b(b(b(x1))) 321.92/83.00 b(b(b(b(x1)))) -> a(b(b(a(x1)))) 321.92/83.00 321.92/83.00 Q is empty. 321.92/83.00 We have to consider all minimal (P,Q,R)-chains. 321.92/83.00 ---------------------------------------- 321.92/83.00 321.92/83.00 (5) MRRProof (EQUIVALENT) 321.92/83.00 By using the rule removal processor [LPAR04] with the following ordering, at least one Dependency Pair or term rewrite system rule of this QDP problem can be strictly oriented. 321.92/83.00 321.92/83.00 Strictly oriented dependency pairs: 321.92/83.00 321.92/83.00 A(a(a(x1))) -> B(b(x1)) 321.92/83.00 A(a(a(x1))) -> B(x1) 321.92/83.00 B(b(b(b(x1)))) -> B(b(a(x1))) 321.92/83.00 B(b(b(b(x1)))) -> B(a(x1)) 321.92/83.00 B(b(b(b(x1)))) -> A(x1) 321.92/83.00 321.92/83.00 321.92/83.00 Used ordering: Polynomial interpretation [POLO]: 321.92/83.00 321.92/83.00 POL(A(x_1)) = 2*x_1 321.92/83.00 POL(B(x_1)) = 2*x_1 321.92/83.00 POL(a(x_1)) = 2 + 2*x_1 321.92/83.00 POL(b(x_1)) = 2 + 2*x_1 321.92/83.00 321.92/83.00 321.92/83.00 ---------------------------------------- 321.92/83.00 321.92/83.00 (6) 321.92/83.00 Obligation: popout

output may be truncated. 'popout' for the full output.

job log

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actions

all output return to SRS_Standard 2019-03-29 03.29