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Integer_TRS_Innermost 2019-03-21 04.53 pair #429994980
details
property
value
status
complete
benchmark
A14.itrs
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n080.star.cs.uiowa.edu
space
Mixed_ITRS_2014
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
38.9613 seconds
cpu usage
134.584
user time
131.687
system time
2.89706
max virtual memory
5.9011824E7
max residence set size
4353200.0
stage attributes
key
value
starexec-result
YES
output
134.27/38.89 YES 134.27/38.91 proof of /export/starexec/sandbox/benchmark/theBenchmark.itrs 134.27/38.91 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 134.27/38.91 134.27/38.91 134.27/38.91 Termination of the given ITRS could be proven: 134.27/38.91 134.27/38.91 (0) ITRS 134.27/38.91 (1) ITRStoIDPProof [EQUIVALENT, 0 ms] 134.27/38.91 (2) IDP 134.27/38.91 (3) UsableRulesProof [EQUIVALENT, 0 ms] 134.27/38.91 (4) IDP 134.27/38.91 (5) IDPNonInfProof [SOUND, 26.9 s] 134.27/38.91 (6) IDP 134.27/38.91 (7) IDPNonInfProof [SOUND, 35 ms] 134.27/38.91 (8) IDP 134.27/38.91 (9) IDependencyGraphProof [EQUIVALENT, 0 ms] 134.27/38.91 (10) TRUE 134.27/38.91 134.27/38.91 134.27/38.91 ---------------------------------------- 134.27/38.91 134.27/38.91 (0) 134.27/38.91 Obligation: 134.27/38.91 ITRS problem: 134.27/38.91 134.27/38.91 The following function symbols are pre-defined: 134.27/38.91 <<< 134.27/38.91 & ~ Bwand: (Integer, Integer) -> Integer 134.27/38.91 >= ~ Ge: (Integer, Integer) -> Boolean 134.27/38.91 | ~ Bwor: (Integer, Integer) -> Integer 134.27/38.91 / ~ Div: (Integer, Integer) -> Integer 134.27/38.91 != ~ Neq: (Integer, Integer) -> Boolean 134.27/38.91 && ~ Land: (Boolean, Boolean) -> Boolean 134.27/38.91 ! ~ Lnot: (Boolean) -> Boolean 134.27/38.91 = ~ Eq: (Integer, Integer) -> Boolean 134.27/38.91 <= ~ Le: (Integer, Integer) -> Boolean 134.27/38.91 ^ ~ Bwxor: (Integer, Integer) -> Integer 134.27/38.91 % ~ Mod: (Integer, Integer) -> Integer 134.27/38.91 > ~ Gt: (Integer, Integer) -> Boolean 134.27/38.91 + ~ Add: (Integer, Integer) -> Integer 134.27/38.91 -1 ~ UnaryMinus: (Integer) -> Integer 134.27/38.91 < ~ Lt: (Integer, Integer) -> Boolean 134.27/38.91 || ~ Lor: (Boolean, Boolean) -> Boolean 134.27/38.91 - ~ Sub: (Integer, Integer) -> Integer 134.27/38.91 ~ ~ Bwnot: (Integer) -> Integer 134.27/38.91 * ~ Mul: (Integer, Integer) -> Integer 134.27/38.91 >>> 134.27/38.91 134.27/38.91 The TRS R consists of the following rules: 134.27/38.91 diff(x, y) -> cond1(x = y, x, y) 134.27/38.91 cond1(TRUE, x, y) -> 0 134.27/38.91 cond1(FALSE, x, y) -> cond2(x > y, x, y) 134.27/38.91 cond2(TRUE, x, y) -> 1 + diff(x, y + 1) 134.27/38.91 cond2(FALSE, x, y) -> 1 + diff(x + 1, y) 134.27/38.91 The set Q consists of the following terms: 134.27/38.91 diff(x0, x1) 134.27/38.91 cond1(TRUE, x0, x1) 134.27/38.91 cond1(FALSE, x0, x1) 134.27/38.91 cond2(TRUE, x0, x1) 134.27/38.91 cond2(FALSE, x0, x1) 134.27/38.91 134.27/38.91 ---------------------------------------- 134.27/38.91 134.27/38.91 (1) ITRStoIDPProof (EQUIVALENT) 134.27/38.91 Added dependency pairs 134.27/38.91 ---------------------------------------- 134.27/38.91 134.27/38.91 (2) 134.27/38.91 Obligation: 134.27/38.91 IDP problem: 134.27/38.91 The following function symbols are pre-defined: 134.27/38.91 <<< 134.27/38.91 & ~ Bwand: (Integer, Integer) -> Integer 134.27/38.91 >= ~ Ge: (Integer, Integer) -> Boolean 134.27/38.91 | ~ Bwor: (Integer, Integer) -> Integer 134.27/38.91 / ~ Div: (Integer, Integer) -> Integer 134.27/38.91 != ~ Neq: (Integer, Integer) -> Boolean 134.27/38.91 && ~ Land: (Boolean, Boolean) -> Boolean 134.27/38.91 ! ~ Lnot: (Boolean) -> Boolean 134.27/38.91 = ~ Eq: (Integer, Integer) -> Boolean 134.27/38.91 <= ~ Le: (Integer, Integer) -> Boolean 134.27/38.91 ^ ~ Bwxor: (Integer, Integer) -> Integer 134.27/38.91 % ~ Mod: (Integer, Integer) -> Integer 134.27/38.91 > ~ Gt: (Integer, Integer) -> Boolean 134.27/38.91 + ~ Add: (Integer, Integer) -> Integer 134.27/38.91 -1 ~ UnaryMinus: (Integer) -> Integer 134.27/38.91 < ~ Lt: (Integer, Integer) -> Boolean 134.27/38.91 || ~ Lor: (Boolean, Boolean) -> Boolean 134.27/38.91 - ~ Sub: (Integer, Integer) -> Integer 134.27/38.91 ~ ~ Bwnot: (Integer) -> Integer 134.27/38.91 * ~ Mul: (Integer, Integer) -> Integer 134.27/38.91 >>> 134.27/38.91 134.27/38.91 134.27/38.91 The following domains are used: 134.27/38.91 Integer 134.27/38.91 134.27/38.91 The ITRS R consists of the following rules: 134.27/38.91 diff(x, y) -> cond1(x = y, x, y)
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