details

property	value
status	complete
benchmark	4046.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n112.star.cs.uiowa.edu
space	ICFP_2010

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	3.70161 seconds
cpu usage	11.2387
user time	10.7145
system time	0.524242
max virtual memory	1.9674852E7
max residence set size	1505596.0

stage attributes

key	value
starexec-result	YES

output

10.46/3.51 YES 10.85/3.57 proof of /export/starexec/sandbox/benchmark/theBenchmark.xml 10.85/3.57 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 10.85/3.57 10.85/3.57 10.85/3.57 Termination w.r.t. Q of the given QTRS could be proven: 10.85/3.57 10.85/3.57 (0) QTRS 10.85/3.57 (1) QTRS Reverse [EQUIVALENT, 0 ms] 10.85/3.57 (2) QTRS 10.85/3.57 (3) DependencyPairsProof [EQUIVALENT, 59 ms] 10.85/3.57 (4) QDP 10.85/3.57 (5) DependencyGraphProof [EQUIVALENT, 4 ms] 10.85/3.57 (6) QDP 10.85/3.57 (7) UsableRulesProof [EQUIVALENT, 2 ms] 10.85/3.57 (8) QDP 10.85/3.57 (9) QDPSizeChangeProof [EQUIVALENT, 0 ms] 10.85/3.57 (10) YES 10.85/3.57 10.85/3.57 10.85/3.57 ---------------------------------------- 10.85/3.57 10.85/3.57 (0) 10.85/3.57 Obligation: 10.85/3.57 Q restricted rewrite system: 10.85/3.57 The TRS R consists of the following rules: 10.85/3.57 10.85/3.57 4(2(4(x1))) -> 2(0(0(5(3(3(5(2(0(4(x1)))))))))) 10.85/3.57 4(4(2(4(2(x1))))) -> 2(0(5(2(1(4(0(2(0(1(x1)))))))))) 10.85/3.57 0(5(4(2(4(3(x1)))))) -> 5(1(5(5(3(5(3(0(0(0(x1)))))))))) 10.85/3.57 1(1(4(5(3(3(x1)))))) -> 1(3(1(1(3(0(1(2(2(1(x1)))))))))) 10.85/3.57 3(1(4(3(1(2(x1)))))) -> 0(0(1(1(4(2(3(0(0(3(x1)))))))))) 10.85/3.57 3(2(4(2(4(1(x1)))))) -> 0(2(1(1(1(5(3(1(3(3(x1)))))))))) 10.85/3.57 3(3(0(4(1(2(x1)))))) -> 3(5(1(2(0(2(0(5(3(1(x1)))))))))) 10.85/3.57 4(1(4(5(0(5(4(x1))))))) -> 4(1(5(3(1(0(5(3(1(0(x1)))))))))) 10.85/3.57 4(4(0(5(4(2(2(x1))))))) -> 4(0(4(3(4(4(4(5(4(1(x1)))))))))) 10.85/3.57 5(4(5(3(2(4(3(x1))))))) -> 2(5(5(5(0(4(5(0(1(4(x1)))))))))) 10.85/3.57 10.85/3.57 Q is empty. 10.85/3.57 10.85/3.57 ---------------------------------------- 10.85/3.57 10.85/3.57 (1) QTRS Reverse (EQUIVALENT) 10.85/3.57 We applied the QTRS Reverse Processor [REVERSE]. 10.85/3.57 ---------------------------------------- 10.85/3.57 10.85/3.57 (2) 10.85/3.57 Obligation: 10.85/3.57 Q restricted rewrite system: 10.85/3.57 The TRS R consists of the following rules: 10.85/3.57 10.85/3.57 4(2(4(x1))) -> 4(0(2(5(3(3(5(0(0(2(x1)))))))))) 10.85/3.57 2(4(2(4(4(x1))))) -> 1(0(2(0(4(1(2(5(0(2(x1)))))))))) 10.85/3.57 3(4(2(4(5(0(x1)))))) -> 0(0(0(3(5(3(5(5(1(5(x1)))))))))) 10.85/3.57 3(3(5(4(1(1(x1)))))) -> 1(2(2(1(0(3(1(1(3(1(x1)))))))))) 10.85/3.57 2(1(3(4(1(3(x1)))))) -> 3(0(0(3(2(4(1(1(0(0(x1)))))))))) 10.85/3.57 1(4(2(4(2(3(x1)))))) -> 3(3(1(3(5(1(1(1(2(0(x1)))))))))) 10.85/3.57 2(1(4(0(3(3(x1)))))) -> 1(3(5(0(2(0(2(1(5(3(x1)))))))))) 10.85/3.57 4(5(0(5(4(1(4(x1))))))) -> 0(1(3(5(0(1(3(5(1(4(x1)))))))))) 10.85/3.57 2(2(4(5(0(4(4(x1))))))) -> 1(4(5(4(4(4(3(4(0(4(x1)))))))))) 10.85/3.57 3(4(2(3(5(4(5(x1))))))) -> 4(1(0(5(4(0(5(5(5(2(x1)))))))))) 10.85/3.57 10.85/3.57 Q is empty. 10.85/3.57 10.85/3.57 ---------------------------------------- 10.85/3.57 10.85/3.57 (3) DependencyPairsProof (EQUIVALENT) 10.85/3.57 Using Dependency Pairs [AG00,LPAR04] we result in the following initial DP problem. 10.85/3.57 ---------------------------------------- 10.85/3.57 10.85/3.57 (4) 10.85/3.57 Obligation: 10.85/3.57 Q DP problem: 10.85/3.57 The TRS P consists of the following rules: 10.85/3.57 10.85/3.57 4^1(2(4(x1))) -> 4^1(0(2(5(3(3(5(0(0(2(x1)))))))))) 10.85/3.57 4^1(2(4(x1))) -> 2^1(5(3(3(5(0(0(2(x1)))))))) 10.85/3.57 4^1(2(4(x1))) -> 3^1(3(5(0(0(2(x1)))))) 10.85/3.57 4^1(2(4(x1))) -> 3^1(5(0(0(2(x1))))) 10.85/3.57 4^1(2(4(x1))) -> 2^1(x1) 10.85/3.57 2^1(4(2(4(4(x1))))) -> 1^1(0(2(0(4(1(2(5(0(2(x1)))))))))) 10.85/3.57 2^1(4(2(4(4(x1))))) -> 2^1(0(4(1(2(5(0(2(x1)))))))) 10.85/3.57 2^1(4(2(4(4(x1))))) -> 4^1(1(2(5(0(2(x1)))))) 10.85/3.57 2^1(4(2(4(4(x1))))) -> 1^1(2(5(0(2(x1))))) 10.85/3.57 2^1(4(2(4(4(x1))))) -> 2^1(5(0(2(x1)))) 10.85/3.57 2^1(4(2(4(4(x1))))) -> 2^1(x1) 10.85/3.57 3^1(4(2(4(5(0(x1)))))) -> 3^1(5(3(5(5(1(5(x1))))))) 10.85/3.57 3^1(4(2(4(5(0(x1)))))) -> 3^1(5(5(1(5(x1))))) 10.85/3.57 3^1(4(2(4(5(0(x1)))))) -> 1^1(5(x1)) 10.85/3.57 3^1(3(5(4(1(1(x1)))))) -> 1^1(2(2(1(0(3(1(1(3(1(x1)))))))))) 10.85/3.57 3^1(3(5(4(1(1(x1)))))) -> 2^1(2(1(0(3(1(1(3(1(x1))))))))) 10.85/3.57 3^1(3(5(4(1(1(x1)))))) -> 2^1(1(0(3(1(1(3(1(x1)))))))) 10.85/3.57 3^1(3(5(4(1(1(x1)))))) -> 1^1(0(3(1(1(3(1(x1))))))) 10.85/3.57 3^1(3(5(4(1(1(x1)))))) -> 3^1(1(1(3(1(x1))))) 10.85/3.57 3^1(3(5(4(1(1(x1)))))) -> 1^1(1(3(1(x1)))) 10.85/3.57 3^1(3(5(4(1(1(x1)))))) -> 1^1(3(1(x1))) 10.85/3.57 3^1(3(5(4(1(1(x1)))))) -> 3^1(1(x1)) 10.85/3.57 2^1(1(3(4(1(3(x1)))))) -> 3^1(0(0(3(2(4(1(1(0(0(x1)))))))))) 10.85/3.57 2^1(1(3(4(1(3(x1)))))) -> 3^1(2(4(1(1(0(0(x1))))))) 10.85/3.57 2^1(1(3(4(1(3(x1)))))) -> 2^1(4(1(1(0(0(x1)))))) 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