details

property	value
status	complete
benchmark	jw4.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n061.star.cs.uiowa.edu
space	Waldmann_06_SRS

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	24.8383 seconds
cpu usage	93.7417
user time	91.1592
system time	2.58247
max virtual memory	8.3885572E7
max residence set size	5396484.0

stage attributes

key	value
starexec-result	YES

output

92.84/24.64 YES 93.37/24.68 proof of /export/starexec/sandbox/benchmark/theBenchmark.xml 93.37/24.68 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 93.37/24.68 93.37/24.68 93.37/24.68 Termination w.r.t. Q of the given QTRS could be proven: 93.37/24.68 93.37/24.68 (0) QTRS 93.37/24.68 (1) QTRS Reverse [EQUIVALENT, 0 ms] 93.37/24.68 (2) QTRS 93.37/24.68 (3) RootLabelingProof [EQUIVALENT, 0 ms] 93.37/24.68 (4) QTRS 93.37/24.68 (5) DependencyPairsProof [EQUIVALENT, 37 ms] 93.37/24.68 (6) QDP 93.37/24.68 (7) QDPOrderProof [EQUIVALENT, 2076 ms] 93.37/24.68 (8) QDP 93.37/24.68 (9) QDPOrderProof [EQUIVALENT, 639 ms] 93.37/24.68 (10) QDP 93.37/24.68 (11) QDPOrderProof [EQUIVALENT, 10 ms] 93.37/24.68 (12) QDP 93.37/24.68 (13) PisEmptyProof [EQUIVALENT, 0 ms] 93.37/24.68 (14) YES 93.37/24.68 93.37/24.68 93.37/24.68 ---------------------------------------- 93.37/24.68 93.37/24.68 (0) 93.37/24.68 Obligation: 93.37/24.68 Q restricted rewrite system: 93.37/24.68 The TRS R consists of the following rules: 93.37/24.68 93.37/24.68 b(a(b(b(x1)))) -> b(b(b(a(b(x1))))) 93.37/24.68 b(a(a(b(b(x1))))) -> b(a(b(b(a(a(b(x1))))))) 93.37/24.68 b(a(a(a(b(b(x1)))))) -> b(a(a(b(b(a(a(a(b(x1))))))))) 93.37/24.68 93.37/24.68 Q is empty. 93.37/24.68 93.37/24.68 ---------------------------------------- 93.37/24.68 93.37/24.68 (1) QTRS Reverse (EQUIVALENT) 93.37/24.68 We applied the QTRS Reverse Processor [REVERSE]. 93.37/24.68 ---------------------------------------- 93.37/24.68 93.37/24.68 (2) 93.37/24.68 Obligation: 93.37/24.68 Q restricted rewrite system: 93.37/24.68 The TRS R consists of the following rules: 93.37/24.68 93.37/24.68 b(b(a(b(x1)))) -> b(a(b(b(b(x1))))) 93.37/24.68 b(b(a(a(b(x1))))) -> b(a(a(b(b(a(b(x1))))))) 93.37/24.68 b(b(a(a(a(b(x1)))))) -> b(a(a(a(b(b(a(a(b(x1))))))))) 93.37/24.68 93.37/24.68 Q is empty. 93.37/24.68 93.37/24.68 ---------------------------------------- 93.37/24.68 93.37/24.68 (3) RootLabelingProof (EQUIVALENT) 93.37/24.68 We used plain root labeling [ROOTLAB] with the following heuristic: 93.37/24.68 LabelAll: All function symbols get labeled 93.37/24.68 93.37/24.68 As Q is empty the root labeling was sound AND complete. 93.37/24.68 93.37/24.68 ---------------------------------------- 93.37/24.68 93.37/24.68 (4) 93.37/24.68 Obligation: 93.37/24.68 Q restricted rewrite system: 93.37/24.68 The TRS R consists of the following rules: 93.37/24.68 93.37/24.68 b_{b_1}(b_{a_1}(a_{b_1}(b_{b_1}(x1)))) -> b_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(x1))))) 93.37/24.68 b_{b_1}(b_{a_1}(a_{b_1}(b_{a_1}(x1)))) -> b_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(b_{a_1}(x1))))) 93.37/24.68 b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(x1))))) -> b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(a_{b_1}(b_{b_1}(x1))))))) 93.37/24.68 b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{a_1}(x1))))) -> b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(a_{b_1}(b_{a_1}(x1))))))) 93.37/24.68 b_{b_1}(b_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(x1)))))) -> b_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(x1))))))))) 93.37/24.68 b_{b_1}(b_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{a_1}(x1)))))) -> b_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{a_1}(x1))))))))) 93.37/24.68 93.37/24.68 Q is empty. 93.37/24.68 93.37/24.68 ---------------------------------------- 93.37/24.68 93.37/24.68 (5) DependencyPairsProof (EQUIVALENT) 93.37/24.68 Using Dependency Pairs [AG00,LPAR04] we result in the following initial DP problem. 93.37/24.68 ---------------------------------------- 93.37/24.68 93.37/24.68 (6) 93.37/24.68 Obligation: 93.37/24.68 Q DP problem: 93.37/24.68 The TRS P consists of the following rules: 93.37/24.68 93.37/24.68 B_{B_1}(b_{a_1}(a_{b_1}(b_{b_1}(x1)))) -> B_{B_1}(b_{b_1}(b_{b_1}(x1))) 93.37/24.68 B_{B_1}(b_{a_1}(a_{b_1}(b_{b_1}(x1)))) -> B_{B_1}(b_{b_1}(x1)) 93.37/24.68 B_{B_1}(b_{a_1}(a_{b_1}(b_{a_1}(x1)))) -> B_{B_1}(b_{b_1}(b_{a_1}(x1))) 93.37/24.68 B_{B_1}(b_{a_1}(a_{b_1}(b_{a_1}(x1)))) -> B_{B_1}(b_{a_1}(x1)) 93.37/24.68 B_{B_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(x1))))) -> B_{B_1}(b_{a_1}(a_{b_1}(b_{b_1}(x1)))) 93.37/24.68 B_{B_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{a_1}(x1))))) -> B_{B_1}(b_{a_1}(a_{b_1}(b_{a_1}(x1)))) 93.37/24.68 B_{B_1}(b_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(x1)))))) -> B_{B_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(x1))))) 93.37/24.68 B_{B_1}(b_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{a_1}(x1)))))) -> B_{B_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{a_1}(x1))))) 93.37/24.68 93.37/24.68 The TRS R consists of the following rules: 93.37/24.68 popout

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

job log

popout

actions

all output return to SRS_Standard 2019-03-29 03.29