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TRS_Equational 2019-03-21 05.09 pair #429997162
details
property
value
status
complete
benchmark
PEANO-NAT_complete.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n142.star.cs.uiowa.edu
space
Mixed_C
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
194.402 seconds
cpu usage
210.26
user time
206.436
system time
3.82482
max virtual memory
1.9224552E7
max residence set size
5145508.0
stage attributes
key
value
starexec-result
MAYBE
output
209.95/194.32 MAYBE 210.10/194.34 proof of /export/starexec/sandbox/benchmark/theBenchmark.xml 210.10/194.34 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 210.10/194.34 210.10/194.34 210.10/194.34 Termination of the given ETRS could not be shown: 210.10/194.34 210.10/194.34 (0) ETRS 210.10/194.34 (1) EquationalDependencyPairsProof [EQUIVALENT, 103 ms] 210.10/194.34 (2) EDP 210.10/194.34 (3) EDependencyGraphProof [EQUIVALENT, 0 ms] 210.10/194.34 (4) AND 210.10/194.34 (5) EDP 210.10/194.34 (6) ESharpUsableEquationsProof [EQUIVALENT, 0 ms] 210.10/194.34 (7) EDP 210.10/194.34 (8) EUsableRulesReductionPairsProof [EQUIVALENT, 77 ms] 210.10/194.34 (9) EDP 210.10/194.34 (10) PisEmptyProof [EQUIVALENT, 0 ms] 210.10/194.34 (11) YES 210.10/194.34 (12) EDP 210.10/194.34 (13) ESharpUsableEquationsProof [EQUIVALENT, 0 ms] 210.10/194.34 (14) EDP 210.10/194.34 (15) EUsableRulesReductionPairsProof [EQUIVALENT, 237 ms] 210.10/194.34 (16) EDP 210.10/194.34 (17) EDependencyGraphProof [EQUIVALENT, 0 ms] 210.10/194.34 (18) TRUE 210.10/194.34 (19) EDP 210.10/194.34 (20) ESharpUsableEquationsProof [EQUIVALENT, 0 ms] 210.10/194.34 (21) EDP 210.10/194.34 (22) EUsableRulesReductionPairsProof [EQUIVALENT, 99 ms] 210.10/194.34 (23) EDP 210.10/194.34 (24) EDependencyGraphProof [EQUIVALENT, 0 ms] 210.10/194.34 (25) TRUE 210.10/194.34 (26) EDP 210.10/194.34 (27) ESharpUsableEquationsProof [EQUIVALENT, 0 ms] 210.10/194.34 (28) EDP 210.10/194.34 (29) EUsableRulesReductionPairsProof [EQUIVALENT, 136 ms] 210.10/194.34 (30) EDP 210.10/194.34 (31) EDependencyGraphProof [EQUIVALENT, 0 ms] 210.10/194.34 (32) TRUE 210.10/194.34 (33) EDP 210.10/194.34 (34) ESharpUsableEquationsProof [EQUIVALENT, 0 ms] 210.10/194.34 (35) EDP 210.10/194.34 (36) EUsableRulesReductionPairsProof [EQUIVALENT, 69 ms] 210.10/194.34 (37) EDP 210.10/194.34 (38) EDependencyGraphProof [EQUIVALENT, 0 ms] 210.10/194.34 (39) TRUE 210.10/194.34 (40) EDP 210.10/194.34 (41) ESharpUsableEquationsProof [EQUIVALENT, 0 ms] 210.10/194.34 (42) EDP 210.10/194.34 (43) EUsableRulesReductionPairsProof [EQUIVALENT, 102 ms] 210.10/194.34 (44) EDP 210.10/194.34 (45) EDependencyGraphProof [EQUIVALENT, 0 ms] 210.10/194.34 (46) TRUE 210.10/194.34 (47) EDP 210.10/194.34 (48) ESharpUsableEquationsProof [EQUIVALENT, 0 ms] 210.10/194.34 (49) EDP 210.10/194.34 (50) EUsableRulesProof [EQUIVALENT, 7 ms] 210.10/194.34 (51) EDP 210.10/194.34 (52) EDP 210.10/194.34 210.10/194.34 210.10/194.34 ---------------------------------------- 210.10/194.34 210.10/194.34 (0) 210.10/194.34 Obligation: 210.10/194.34 Equational rewrite system: 210.10/194.34 The TRS R consists of the following rules: 210.10/194.34 210.10/194.34 1 -> s_(0) 210.10/194.34 2 -> s_(s_(0)) 210.10/194.34 3 -> s_(s_(s_(0))) 210.10/194.34 4 -> s_(s_(s_(s_(0)))) 210.10/194.34 5 -> s_(s_(s_(s_(s_(0))))) 210.10/194.34 6 -> s_(s_(s_(s_(s_(s_(0)))))) 210.10/194.34 7 -> s_(s_(s_(s_(s_(s_(s_(0))))))) 210.10/194.34 U101(tt, M, N) -> d(N, M) 210.10/194.34 U11(tt) -> 0 210.10/194.34 U111(tt) -> 0 210.10/194.34 U121(tt, M', N') -> U122(equal(_>_(N', M'), true), M', N') 210.10/194.34 U122(tt, M', N') -> gcd(d(N', M'), M') 210.10/194.34 U131(tt, N') -> N' 210.10/194.34 U141(tt, V1, V2) -> U142(isNat(V1), V2) 210.10/194.34 U142(tt, V2) -> U143(isNat(V2)) 210.10/194.34 U143(tt) -> tt 210.10/194.34 U151(tt, V1, V2) -> U152(isNat(V1), V2) 210.10/194.34 U152(tt, V2) -> U153(isNat(V2)) 210.10/194.34 U153(tt) -> tt 210.10/194.34 U161(tt, V) -> U162(isNzNat(V)) 210.10/194.34 U162(tt) -> tt 210.10/194.34 U171(tt, V1, V2) -> U172(isNat(V1), V2) 210.10/194.34 U172(tt, V2) -> U173(isNat(V2)) 210.10/194.34 U173(tt) -> tt 210.10/194.34 U181(tt, V1, V2) -> U182(isNat(V1), V2) 210.10/194.34 U182(tt, V2) -> U183(isNat(V2)) 210.10/194.34 U183(tt) -> tt 210.10/194.34 U191(tt, V1, V2) -> U192(isNat(V1), V2) 210.10/194.34 U192(tt, V2) -> U193(isNat(V2)) 210.10/194.34 U193(tt) -> tt 210.10/194.34 U201(tt, V1, V2) -> U202(isNat(V1), V2)
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