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SRS_Standard 2019-03-29 03.29 pair #432288427
details
property
value
status
complete
benchmark
212480.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n182.star.cs.uiowa.edu
space
ICFP_2010
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
10.6934 seconds
cpu usage
38.1562
user time
37.0297
system time
1.12652
max virtual memory
4.0724032E7
max residence set size
3445616.0
stage attributes
key
value
starexec-result
YES
output
37.81/10.54 YES 37.81/10.57 proof of /export/starexec/sandbox/benchmark/theBenchmark.xml 37.81/10.57 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 37.81/10.57 37.81/10.57 37.81/10.57 Termination w.r.t. Q of the given QTRS could be proven: 37.81/10.57 37.81/10.57 (0) QTRS 37.81/10.57 (1) QTRS Reverse [EQUIVALENT, 0 ms] 37.81/10.57 (2) QTRS 37.81/10.57 (3) DependencyPairsProof [EQUIVALENT, 264 ms] 37.81/10.57 (4) QDP 37.81/10.57 (5) DependencyGraphProof [EQUIVALENT, 0 ms] 37.81/10.57 (6) AND 37.81/10.57 (7) QDP 37.81/10.57 (8) UsableRulesProof [EQUIVALENT, 0 ms] 37.81/10.57 (9) QDP 37.81/10.57 (10) QDPOrderProof [EQUIVALENT, 11 ms] 37.81/10.57 (11) QDP 37.81/10.57 (12) PisEmptyProof [EQUIVALENT, 0 ms] 37.81/10.57 (13) YES 37.81/10.57 (14) QDP 37.81/10.57 (15) UsableRulesProof [EQUIVALENT, 0 ms] 37.81/10.57 (16) QDP 37.81/10.57 (17) QDPOrderProof [EQUIVALENT, 164 ms] 37.81/10.57 (18) QDP 37.81/10.57 (19) UsableRulesProof [EQUIVALENT, 0 ms] 37.81/10.57 (20) QDP 37.81/10.57 (21) MRRProof [EQUIVALENT, 0 ms] 37.81/10.57 (22) QDP 37.81/10.57 (23) PisEmptyProof [EQUIVALENT, 0 ms] 37.81/10.57 (24) YES 37.81/10.57 37.81/10.57 37.81/10.57 ---------------------------------------- 37.81/10.57 37.81/10.57 (0) 37.81/10.57 Obligation: 37.81/10.57 Q restricted rewrite system: 37.81/10.57 The TRS R consists of the following rules: 37.81/10.57 37.81/10.57 0(1(1(x1))) -> 1(2(1(2(0(x1))))) 37.81/10.57 0(3(1(x1))) -> 1(3(2(2(0(x1))))) 37.81/10.57 0(3(1(x1))) -> 3(2(1(2(0(x1))))) 37.81/10.57 0(3(1(x1))) -> 1(3(3(3(2(0(x1)))))) 37.81/10.57 0(4(1(x1))) -> 2(1(2(0(4(x1))))) 37.81/10.57 0(0(4(5(x1)))) -> 0(0(2(5(4(x1))))) 37.81/10.57 0(1(4(1(x1)))) -> 0(1(2(2(4(1(x1)))))) 37.81/10.57 0(1(4(5(x1)))) -> 4(0(1(2(5(4(x1)))))) 37.81/10.57 0(1(5(1(x1)))) -> 1(2(2(5(0(1(x1)))))) 37.81/10.57 0(1(5(3(x1)))) -> 0(5(3(2(1(x1))))) 37.81/10.57 0(2(4(1(x1)))) -> 1(3(3(2(0(4(x1)))))) 37.81/10.57 0(2(4(1(x1)))) -> 4(2(1(2(0(4(x1)))))) 37.81/10.57 0(2(4(5(x1)))) -> 0(2(2(5(0(4(x1)))))) 37.81/10.57 0(3(1(5(x1)))) -> 0(1(2(5(3(x1))))) 37.81/10.57 0(3(1(5(x1)))) -> 1(2(5(3(0(4(x1)))))) 37.81/10.57 0(3(5(1(x1)))) -> 1(2(5(3(0(x1))))) 37.81/10.57 0(3(5(1(x1)))) -> 0(5(2(1(2(3(x1)))))) 37.81/10.57 0(3(5(5(x1)))) -> 0(3(2(5(5(x1))))) 37.81/10.57 0(4(0(1(x1)))) -> 2(0(4(4(0(1(x1)))))) 37.81/10.57 0(4(1(5(x1)))) -> 1(2(5(0(4(x1))))) 37.81/10.57 0(4(3(5(x1)))) -> 0(4(3(2(5(4(x1)))))) 37.81/10.57 0(4(5(1(x1)))) -> 2(5(4(4(0(1(x1)))))) 37.81/10.57 3(0(1(5(x1)))) -> 3(1(4(0(5(4(x1)))))) 37.81/10.57 3(0(3(1(x1)))) -> 1(3(3(2(0(x1))))) 37.81/10.57 3(0(3(5(x1)))) -> 3(2(5(0(2(3(x1)))))) 37.81/10.57 3(3(0(1(x1)))) -> 0(1(3(2(2(3(x1)))))) 37.81/10.57 3(4(5(1(x1)))) -> 3(2(5(4(2(1(x1)))))) 37.81/10.57 4(1(3(5(x1)))) -> 1(2(5(3(4(4(x1)))))) 37.81/10.57 4(1(5(1(x1)))) -> 4(4(5(1(2(1(x1)))))) 37.81/10.57 4(4(1(5(x1)))) -> 4(1(2(5(4(x1))))) 37.81/10.57 0(1(4(5(5(x1))))) -> 0(5(1(4(2(5(x1)))))) 37.81/10.57 0(2(1(4(5(x1))))) -> 0(0(1(2(5(4(x1)))))) 37.81/10.57 0(2(1(5(5(x1))))) -> 0(1(2(2(5(5(x1)))))) 37.81/10.57 0(4(2(4(1(x1))))) -> 1(3(2(0(4(4(x1)))))) 37.81/10.57 0(4(5(4(3(x1))))) -> 2(5(0(4(4(3(x1)))))) 37.81/10.57 0(5(1(5(1(x1))))) -> 0(5(1(1(2(5(x1)))))) 37.81/10.57 0(5(2(1(5(x1))))) -> 1(2(5(5(0(4(x1)))))) 37.81/10.57 0(5(2(4(1(x1))))) -> 4(5(2(1(2(0(x1)))))) 37.81/10.57 3(0(1(4(1(x1))))) -> 0(4(4(1(3(1(x1)))))) 37.81/10.57 3(0(1(4(1(x1))))) -> 4(3(2(0(1(1(x1)))))) 37.81/10.57 3(0(3(5(5(x1))))) -> 3(3(2(5(0(5(x1)))))) 37.81/10.57 3(0(5(3(1(x1))))) -> 1(0(3(3(2(5(x1)))))) 37.81/10.57 4(0(1(4(1(x1))))) -> 4(4(0(1(3(1(x1)))))) 37.81/10.57 4(0(1(5(1(x1))))) -> 0(1(2(5(4(1(x1)))))) 37.81/10.57 4(0(2(4(5(x1))))) -> 4(0(2(5(0(4(x1)))))) 37.81/10.57 4(1(1(5(1(x1))))) -> 1(1(2(5(4(1(x1)))))) 37.81/10.57 4(5(1(4(1(x1))))) -> 4(4(1(2(1(5(x1)))))) 37.81/10.57 4(5(2(3(1(x1))))) -> 4(3(1(2(2(5(x1)))))) 37.81/10.57 4(5(4(3(1(x1))))) -> 4(1(2(5(3(4(x1)))))) 37.81/10.57 4(5(5(3(1(x1))))) -> 1(3(2(5(5(4(x1)))))) 37.81/10.57 37.81/10.57 Q is empty. 37.81/10.57 37.81/10.57 ---------------------------------------- 37.81/10.57 37.81/10.57 (1) QTRS Reverse (EQUIVALENT) 37.81/10.57 We applied the QTRS Reverse Processor [REVERSE]. 37.81/10.57 ---------------------------------------- 37.81/10.57
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