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SRS_Standard 2019-03-29 03.29 pair #432292183
details
property
value
status
complete
benchmark
z074.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n018.star.cs.uiowa.edu
space
Zantema_04
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
8.92226 seconds
cpu usage
30.8517
user time
29.4932
system time
1.35855
max virtual memory
4.1943688E7
max residence set size
4063276.0
stage attributes
key
value
starexec-result
YES
output
30.06/8.83 YES 30.06/8.83 proof of /export/starexec/sandbox/benchmark/theBenchmark.xml 30.06/8.83 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 30.06/8.83 30.06/8.83 30.06/8.83 Termination w.r.t. Q of the given QTRS could be proven: 30.06/8.83 30.06/8.83 (0) QTRS 30.06/8.83 (1) QTRS Reverse [EQUIVALENT, 0 ms] 30.06/8.83 (2) QTRS 30.06/8.83 (3) QTRSRRRProof [EQUIVALENT, 30 ms] 30.06/8.83 (4) QTRS 30.06/8.83 (5) DependencyPairsProof [EQUIVALENT, 20 ms] 30.06/8.83 (6) QDP 30.06/8.83 (7) DependencyGraphProof [EQUIVALENT, 5 ms] 30.06/8.83 (8) AND 30.06/8.83 (9) QDP 30.06/8.83 (10) UsableRulesProof [EQUIVALENT, 1 ms] 30.06/8.83 (11) QDP 30.06/8.83 (12) QDPSizeChangeProof [EQUIVALENT, 0 ms] 30.06/8.83 (13) YES 30.06/8.83 (14) QDP 30.06/8.83 (15) UsableRulesProof [EQUIVALENT, 0 ms] 30.06/8.83 (16) QDP 30.06/8.83 (17) QDPSizeChangeProof [EQUIVALENT, 0 ms] 30.06/8.83 (18) YES 30.06/8.83 (19) QDP 30.06/8.83 (20) UsableRulesProof [EQUIVALENT, 0 ms] 30.06/8.83 (21) QDP 30.06/8.83 (22) QDPSizeChangeProof [EQUIVALENT, 0 ms] 30.06/8.83 (23) YES 30.06/8.83 (24) QDP 30.06/8.83 (25) UsableRulesProof [EQUIVALENT, 0 ms] 30.06/8.83 (26) QDP 30.06/8.83 (27) QDPSizeChangeProof [EQUIVALENT, 0 ms] 30.06/8.83 (28) YES 30.06/8.83 (29) QDP 30.06/8.83 (30) UsableRulesProof [EQUIVALENT, 0 ms] 30.06/8.83 (31) QDP 30.06/8.83 (32) QDPOrderProof [EQUIVALENT, 0 ms] 30.06/8.83 (33) QDP 30.06/8.83 (34) PisEmptyProof [EQUIVALENT, 0 ms] 30.06/8.83 (35) YES 30.06/8.83 30.06/8.83 30.06/8.83 ---------------------------------------- 30.06/8.83 30.06/8.83 (0) 30.06/8.83 Obligation: 30.06/8.83 Q restricted rewrite system: 30.06/8.83 The TRS R consists of the following rules: 30.06/8.83 30.06/8.83 r(r(x1)) -> s(r(x1)) 30.06/8.83 r(s(x1)) -> s(r(x1)) 30.06/8.83 r(n(x1)) -> s(r(x1)) 30.06/8.83 r(b(x1)) -> u(s(b(x1))) 30.06/8.83 r(u(x1)) -> u(r(x1)) 30.06/8.83 s(u(x1)) -> u(s(x1)) 30.06/8.83 n(u(x1)) -> u(n(x1)) 30.06/8.83 t(r(u(x1))) -> t(c(r(x1))) 30.06/8.83 t(s(u(x1))) -> t(c(r(x1))) 30.06/8.83 t(n(u(x1))) -> t(c(r(x1))) 30.06/8.83 c(u(x1)) -> u(c(x1)) 30.06/8.83 c(s(x1)) -> s(c(x1)) 30.06/8.83 c(r(x1)) -> r(c(x1)) 30.06/8.83 c(n(x1)) -> n(c(x1)) 30.06/8.83 c(n(x1)) -> n(x1) 30.06/8.83 30.06/8.83 Q is empty. 30.06/8.83 30.06/8.83 ---------------------------------------- 30.06/8.83 30.06/8.83 (1) QTRS Reverse (EQUIVALENT) 30.06/8.83 We applied the QTRS Reverse Processor [REVERSE]. 30.06/8.83 ---------------------------------------- 30.06/8.83 30.06/8.83 (2) 30.06/8.83 Obligation: 30.06/8.83 Q restricted rewrite system: 30.06/8.83 The TRS R consists of the following rules: 30.06/8.83 30.06/8.83 r(r(x1)) -> r(s(x1)) 30.06/8.83 s(r(x1)) -> r(s(x1)) 30.06/8.83 n(r(x1)) -> r(s(x1)) 30.06/8.83 b(r(x1)) -> b(s(u(x1))) 30.06/8.83 u(r(x1)) -> r(u(x1)) 30.06/8.83 u(s(x1)) -> s(u(x1)) 30.06/8.83 u(n(x1)) -> n(u(x1)) 30.06/8.83 u(r(t(x1))) -> r(c(t(x1))) 30.06/8.83 u(s(t(x1))) -> r(c(t(x1))) 30.06/8.83 u(n(t(x1))) -> r(c(t(x1))) 30.06/8.83 u(c(x1)) -> c(u(x1)) 30.06/8.83 s(c(x1)) -> c(s(x1)) 30.06/8.83 r(c(x1)) -> c(r(x1)) 30.06/8.83 n(c(x1)) -> c(n(x1)) 30.06/8.83 n(c(x1)) -> n(x1) 30.06/8.83 30.06/8.83 Q is empty. 30.06/8.83 30.06/8.83 ----------------------------------------
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