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SRS_Standard 2019-03-29 03.29 pair #432291739
details
property
value
status
complete
benchmark
z113.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n005.star.cs.uiowa.edu
space
Zantema_04
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
6.83255 seconds
cpu usage
20.6489
user time
19.5083
system time
1.14065
max virtual memory
2.0212992E7
max residence set size
3516396.0
stage attributes
key
value
starexec-result
YES
output
20.31/6.29 YES 20.31/6.30 proof of /export/starexec/sandbox/benchmark/theBenchmark.xml 20.31/6.30 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 20.31/6.30 20.31/6.30 20.31/6.30 Termination w.r.t. Q of the given QTRS could be proven: 20.31/6.30 20.31/6.30 (0) QTRS 20.31/6.30 (1) QTRS Reverse [EQUIVALENT, 0 ms] 20.31/6.30 (2) QTRS 20.31/6.30 (3) QTRSRRRProof [EQUIVALENT, 22 ms] 20.31/6.30 (4) QTRS 20.31/6.30 (5) DependencyPairsProof [EQUIVALENT, 27 ms] 20.31/6.30 (6) QDP 20.31/6.30 (7) DependencyGraphProof [EQUIVALENT, 2 ms] 20.31/6.30 (8) AND 20.31/6.30 (9) QDP 20.31/6.30 (10) UsableRulesProof [EQUIVALENT, 0 ms] 20.31/6.30 (11) QDP 20.31/6.30 (12) MRRProof [EQUIVALENT, 11 ms] 20.31/6.30 (13) QDP 20.31/6.30 (14) PisEmptyProof [EQUIVALENT, 0 ms] 20.31/6.30 (15) YES 20.31/6.30 (16) QDP 20.31/6.30 (17) UsableRulesProof [EQUIVALENT, 1 ms] 20.31/6.30 (18) QDP 20.31/6.30 (19) QDPSizeChangeProof [EQUIVALENT, 0 ms] 20.31/6.30 (20) YES 20.31/6.30 20.31/6.30 20.31/6.30 ---------------------------------------- 20.31/6.30 20.31/6.30 (0) 20.31/6.30 Obligation: 20.31/6.30 Q restricted rewrite system: 20.31/6.30 The TRS R consists of the following rules: 20.31/6.30 20.31/6.30 1(1(x1)) -> 4(3(x1)) 20.31/6.30 1(2(x1)) -> 2(1(x1)) 20.31/6.30 2(2(x1)) -> 1(1(1(x1))) 20.31/6.30 3(3(x1)) -> 5(6(x1)) 20.31/6.30 3(4(x1)) -> 1(1(x1)) 20.31/6.30 4(4(x1)) -> 3(x1) 20.31/6.30 5(5(x1)) -> 6(2(x1)) 20.31/6.30 5(6(x1)) -> 1(2(x1)) 20.31/6.30 6(6(x1)) -> 2(1(x1)) 20.31/6.30 20.31/6.30 Q is empty. 20.31/6.30 20.31/6.30 ---------------------------------------- 20.31/6.30 20.31/6.30 (1) QTRS Reverse (EQUIVALENT) 20.31/6.30 We applied the QTRS Reverse Processor [REVERSE]. 20.31/6.30 ---------------------------------------- 20.31/6.30 20.31/6.30 (2) 20.31/6.30 Obligation: 20.31/6.30 Q restricted rewrite system: 20.31/6.30 The TRS R consists of the following rules: 20.31/6.30 20.31/6.30 1(1(x1)) -> 3(4(x1)) 20.31/6.30 2(1(x1)) -> 1(2(x1)) 20.31/6.30 2(2(x1)) -> 1(1(1(x1))) 20.31/6.30 3(3(x1)) -> 6(5(x1)) 20.31/6.30 4(3(x1)) -> 1(1(x1)) 20.31/6.30 4(4(x1)) -> 3(x1) 20.31/6.30 5(5(x1)) -> 2(6(x1)) 20.31/6.30 6(5(x1)) -> 2(1(x1)) 20.31/6.30 6(6(x1)) -> 1(2(x1)) 20.31/6.30 20.31/6.30 Q is empty. 20.31/6.30 20.31/6.30 ---------------------------------------- 20.31/6.30 20.31/6.30 (3) QTRSRRRProof (EQUIVALENT) 20.31/6.30 Used ordering: 20.31/6.30 Polynomial interpretation [POLO]: 20.31/6.30 20.31/6.30 POL(1(x_1)) = 85 + x_1 20.31/6.30 POL(2(x_1)) = 128 + x_1 20.31/6.30 POL(3(x_1)) = 113 + x_1 20.31/6.30 POL(4(x_1)) = 57 + x_1 20.31/6.30 POL(5(x_1)) = 118 + x_1 20.31/6.30 POL(6(x_1)) = 107 + x_1 20.31/6.30 With this ordering the following rules can be removed by the rule removal processor [LPAR04] because they are oriented strictly: 20.31/6.30 20.31/6.30 2(2(x1)) -> 1(1(1(x1))) 20.31/6.30 3(3(x1)) -> 6(5(x1)) 20.31/6.30 4(4(x1)) -> 3(x1) 20.31/6.30 5(5(x1)) -> 2(6(x1)) 20.31/6.30 6(5(x1)) -> 2(1(x1)) 20.31/6.30 6(6(x1)) -> 1(2(x1)) 20.31/6.30 20.31/6.30 20.31/6.30 20.31/6.30 20.31/6.30 ---------------------------------------- 20.31/6.30 20.31/6.30 (4) 20.31/6.30 Obligation:
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