Spaces
Explore
Communities
Statistics
Reports
Cluster
Status
Help
TRS Standard pair #516967560
details
property
value
status
complete
benchmark
modulo.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n078.star.cs.uiowa.edu
space
AProVE_06
run statistics
property
value
solver
AProVE21
configuration
standard
runtime (wallclock)
2.65636301041 seconds
cpu usage
7.455230584
max memory
5.19565312E8
stage attributes
key
value
output-size
21661
starexec-result
YES
output
/export/starexec/sandbox2/solver/bin/starexec_run_standard /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- YES proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml # AProVE Commit ID: c69e44bd14796315568835c1ffa2502984884775 mhark 20210624 unpublished Termination w.r.t. Q of the given QTRS could be proven: (0) QTRS (1) Overlay + Local Confluence [EQUIVALENT, 0 ms] (2) QTRS (3) DependencyPairsProof [EQUIVALENT, 0 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) UsableRulesProof [EQUIVALENT, 0 ms] (23) QDP (24) QReductionProof [EQUIVALENT, 0 ms] (25) QDP (26) TransformationProof [EQUIVALENT, 0 ms] (27) QDP (28) DependencyGraphProof [EQUIVALENT, 0 ms] (29) QDP (30) UsableRulesProof [EQUIVALENT, 0 ms] (31) QDP (32) QReductionProof [EQUIVALENT, 0 ms] (33) QDP (34) QDPQMonotonicMRRProof [EQUIVALENT, 28 ms] (35) QDP (36) UsableRulesProof [EQUIVALENT, 0 ms] (37) QDP (38) QDPQMonotonicMRRProof [EQUIVALENT, 5 ms] (39) QDP (40) DependencyGraphProof [EQUIVALENT, 0 ms] (41) TRUE ---------------------------------------- (0) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: le(0, y) -> true le(s(x), 0) -> false le(s(x), s(y)) -> le(x, y) minus(x, x) -> 0 minus(x, 0) -> x minus(0, x) -> 0 minus(s(x), s(y)) -> minus(x, y) isZero(0) -> true isZero(s(x)) -> false mod(x, y) -> if_mod(isZero(y), le(y, x), x, y, minus(x, y)) if_mod(true, b, x, y, z) -> divByZeroError if_mod(false, false, x, y, z) -> x if_mod(false, true, x, y, z) -> mod(z, y) Q is empty. ---------------------------------------- (1) Overlay + Local Confluence (EQUIVALENT) The TRS is overlay and locally confluent. By [NOC] we can switch to innermost. ---------------------------------------- (2) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: le(0, y) -> true le(s(x), 0) -> false le(s(x), s(y)) -> le(x, y) minus(x, x) -> 0 minus(x, 0) -> x minus(0, x) -> 0 minus(s(x), s(y)) -> minus(x, y) isZero(0) -> true isZero(s(x)) -> false
popout
output may be truncated. 'popout' for the full output.
job log
popout
actions
all output
return to TRS Standard