Spaces
Explore
Communities
Statistics
Reports
Cluster
Status
Help
TRS Standard pair #487067338
details
property
value
status
complete
benchmark
emmes-nonloop-ex1_4.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n175.star.cs.uiowa.edu
space
EEG_IJCAR_12
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
12.0574 seconds
cpu usage
38.8113
user time
37.405
system time
1.40629
max virtual memory
3.7532564E7
max residence set size
3922016.0
stage attributes
key
value
starexec-result
NO
output
NO proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml # AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty Termination w.r.t. Q of the given QTRS could be disproven: (0) QTRS (1) AAECC Innermost [EQUIVALENT, 0 ms] (2) QTRS (3) DependencyPairsProof [EQUIVALENT, 20 ms] (4) QDP (5) DependencyGraphProof [EQUIVALENT, 0 ms] (6) AND (7) QDP (8) UsableRulesProof [EQUIVALENT, 0 ms] (9) QDP (10) QReductionProof [EQUIVALENT, 0 ms] (11) QDP (12) QDPSizeChangeProof [EQUIVALENT, 0 ms] (13) YES (14) QDP (15) UsableRulesProof [EQUIVALENT, 0 ms] (16) QDP (17) QReductionProof [EQUIVALENT, 0 ms] (18) QDP (19) QDPSizeChangeProof [EQUIVALENT, 0 ms] (20) YES (21) QDP (22) MNOCProof [EQUIVALENT, 0 ms] (23) QDP (24) NonLoopProof [COMPLETE, 192 ms] (25) NO ---------------------------------------- (0) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: f(true, x, y) -> f(gt(x, y), plus2(x), plus1(y)) gt(s(x), 0) -> true gt(0, y) -> false gt(s(x), s(y)) -> gt(x, y) plus1(x) -> plus(s(0), x) plus2(x) -> plus(s(s(0)), x) plus(0, y) -> y plus(s(x), y) -> plus(x, s(y)) Q is empty. ---------------------------------------- (1) AAECC Innermost (EQUIVALENT) We have applied [NOC,AAECCNOC] to switch to innermost. The TRS R 1 is gt(s(x), 0) -> true gt(0, y) -> false gt(s(x), s(y)) -> gt(x, y) plus1(x) -> plus(s(0), x) plus2(x) -> plus(s(s(0)), x) plus(0, y) -> y plus(s(x), y) -> plus(x, s(y)) The TRS R 2 is f(true, x, y) -> f(gt(x, y), plus2(x), plus1(y)) The signature Sigma is {f_3} ---------------------------------------- (2) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: f(true, x, y) -> f(gt(x, y), plus2(x), plus1(y)) gt(s(x), 0) -> true gt(0, y) -> false gt(s(x), s(y)) -> gt(x, y) plus1(x) -> plus(s(0), x) plus2(x) -> plus(s(s(0)), x) plus(0, y) -> y plus(s(x), y) -> plus(x, s(y)) The set Q consists of the following terms: f(true, x0, x1) gt(s(x0), 0) gt(0, x0) gt(s(x0), s(x1)) plus1(x0) plus2(x0) plus(0, x0) plus(s(x0), x1) ---------------------------------------- (3) DependencyPairsProof (EQUIVALENT)
popout
output may be truncated. 'popout' for the full output.
job log
popout
actions
all output
return to TRS Standard