Spaces
Explore
Communities
Statistics
Reports
Cluster
Status
Help
Integer_TRS_Innermost 2019-03-21 04.53 pair #429995046
details
property
value
status
complete
benchmark
16.itrs
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n154.star.cs.uiowa.edu
space
Mixed_ITRS_2014
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
2.84094 seconds
cpu usage
7.2693
user time
6.91139
system time
0.357915
max virtual memory
1.8748636E7
max residence set size
414884.0
stage attributes
key
value
starexec-result
YES
output
6.91/2.79 YES 7.20/2.82 proof of /export/starexec/sandbox/benchmark/theBenchmark.itrs 7.20/2.82 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 7.20/2.82 7.20/2.82 7.20/2.82 Termination of the given ITRS could be proven: 7.20/2.82 7.20/2.82 (0) ITRS 7.20/2.82 (1) ITRStoIDPProof [EQUIVALENT, 0 ms] 7.20/2.82 (2) IDP 7.20/2.82 (3) UsableRulesProof [EQUIVALENT, 0 ms] 7.20/2.82 (4) IDP 7.20/2.82 (5) IDPNonInfProof [SOUND, 535 ms] 7.20/2.82 (6) IDP 7.20/2.82 (7) IDependencyGraphProof [EQUIVALENT, 0 ms] 7.20/2.82 (8) IDP 7.20/2.82 (9) IDPNonInfProof [SOUND, 164 ms] 7.20/2.82 (10) IDP 7.20/2.82 (11) IDependencyGraphProof [EQUIVALENT, 0 ms] 7.20/2.82 (12) TRUE 7.20/2.82 7.20/2.82 7.20/2.82 ---------------------------------------- 7.20/2.82 7.20/2.82 (0) 7.20/2.82 Obligation: 7.20/2.82 ITRS problem: 7.20/2.82 7.20/2.82 The following function symbols are pre-defined: 7.20/2.82 <<< 7.20/2.82 & ~ Bwand: (Integer, Integer) -> Integer 7.20/2.82 >= ~ Ge: (Integer, Integer) -> Boolean 7.20/2.82 | ~ Bwor: (Integer, Integer) -> Integer 7.20/2.82 / ~ Div: (Integer, Integer) -> Integer 7.20/2.82 != ~ Neq: (Integer, Integer) -> Boolean 7.20/2.82 && ~ Land: (Boolean, Boolean) -> Boolean 7.20/2.82 ! ~ Lnot: (Boolean) -> Boolean 7.20/2.82 = ~ Eq: (Integer, Integer) -> Boolean 7.20/2.82 <= ~ Le: (Integer, Integer) -> Boolean 7.20/2.82 ^ ~ Bwxor: (Integer, Integer) -> Integer 7.20/2.82 % ~ Mod: (Integer, Integer) -> Integer 7.20/2.82 > ~ Gt: (Integer, Integer) -> Boolean 7.20/2.82 + ~ Add: (Integer, Integer) -> Integer 7.20/2.82 -1 ~ UnaryMinus: (Integer) -> Integer 7.20/2.82 < ~ Lt: (Integer, Integer) -> Boolean 7.20/2.82 || ~ Lor: (Boolean, Boolean) -> Boolean 7.20/2.82 - ~ Sub: (Integer, Integer) -> Integer 7.20/2.82 ~ ~ Bwnot: (Integer) -> Integer 7.20/2.82 * ~ Mul: (Integer, Integer) -> Integer 7.20/2.82 >>> 7.20/2.82 7.20/2.82 The TRS R consists of the following rules: 7.20/2.82 eval(x, y, z) -> Cond_eval(x + y > z && z >= 0 && x > 0, x, y, z) 7.20/2.82 Cond_eval(TRUE, x, y, z) -> eval(x - 1, y, z) 7.20/2.82 eval(x, y, z) -> Cond_eval1(x + y > z && z >= 0 && 0 >= x && y > 0, x, y, z) 7.20/2.82 Cond_eval1(TRUE, x, y, z) -> eval(x, y - 1, z) 7.20/2.82 eval(x, y, z) -> Cond_eval2(x + y > z && z >= 0 && 0 >= x && 0 >= y, x, y, z) 7.20/2.82 Cond_eval2(TRUE, x, y, z) -> eval(x, y, z) 7.20/2.82 The set Q consists of the following terms: 7.20/2.82 eval(x0, x1, x2) 7.20/2.82 Cond_eval(TRUE, x0, x1, x2) 7.20/2.82 Cond_eval1(TRUE, x0, x1, x2) 7.20/2.82 Cond_eval2(TRUE, x0, x1, x2) 7.20/2.82 7.20/2.82 ---------------------------------------- 7.20/2.82 7.20/2.82 (1) ITRStoIDPProof (EQUIVALENT) 7.20/2.82 Added dependency pairs 7.20/2.82 ---------------------------------------- 7.20/2.82 7.20/2.82 (2) 7.20/2.82 Obligation: 7.20/2.82 IDP problem: 7.20/2.82 The following function symbols are pre-defined: 7.20/2.82 <<< 7.20/2.82 & ~ Bwand: (Integer, Integer) -> Integer 7.20/2.82 >= ~ Ge: (Integer, Integer) -> Boolean 7.20/2.82 | ~ Bwor: (Integer, Integer) -> Integer 7.20/2.82 / ~ Div: (Integer, Integer) -> Integer 7.20/2.82 != ~ Neq: (Integer, Integer) -> Boolean 7.20/2.82 && ~ Land: (Boolean, Boolean) -> Boolean 7.20/2.82 ! ~ Lnot: (Boolean) -> Boolean 7.20/2.82 = ~ Eq: (Integer, Integer) -> Boolean 7.20/2.82 <= ~ Le: (Integer, Integer) -> Boolean 7.20/2.82 ^ ~ Bwxor: (Integer, Integer) -> Integer 7.20/2.82 % ~ Mod: (Integer, Integer) -> Integer 7.20/2.82 > ~ Gt: (Integer, Integer) -> Boolean 7.20/2.82 + ~ Add: (Integer, Integer) -> Integer 7.20/2.82 -1 ~ UnaryMinus: (Integer) -> Integer 7.20/2.82 < ~ Lt: (Integer, Integer) -> Boolean 7.20/2.82 || ~ Lor: (Boolean, Boolean) -> Boolean 7.20/2.82 - ~ Sub: (Integer, Integer) -> Integer 7.20/2.82 ~ ~ Bwnot: (Integer) -> Integer 7.20/2.82 * ~ Mul: (Integer, Integer) -> Integer 7.20/2.82 >>> 7.20/2.82 7.20/2.82 7.20/2.82 The following domains are used: 7.20/2.82 Boolean, Integer 7.20/2.82
popout
output may be truncated. 'popout' for the full output.
job log
popout
actions
all output
return to Integer_TRS_Innermost 2019-03-21 04.53