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TRS_Equational 2019-03-21 05.09 pair #429997135
details
property
value
status
complete
benchmark
PEANO-NAT_nokinds-noand.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n013.star.cs.uiowa.edu
space
Mixed_C
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
8.48633 seconds
cpu usage
18.6152
user time
17.7696
system time
0.845586
max virtual memory
1.83454E7
max residence set size
2412064.0
stage attributes
key
value
starexec-result
MAYBE
output
18.38/8.41 MAYBE 18.38/8.42 proof of /export/starexec/sandbox/benchmark/theBenchmark.xml 18.38/8.42 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 18.38/8.42 18.38/8.42 18.38/8.42 Termination of the given ETRS could not be shown: 18.38/8.42 18.38/8.42 (0) ETRS 18.38/8.42 (1) EquationalDependencyPairsProof [EQUIVALENT, 0 ms] 18.38/8.42 (2) EDP 18.38/8.42 (3) EDependencyGraphProof [EQUIVALENT, 0 ms] 18.38/8.42 (4) AND 18.38/8.42 (5) EDP 18.38/8.42 (6) ESharpUsableEquationsProof [EQUIVALENT, 0 ms] 18.38/8.42 (7) EDP 18.38/8.42 (8) EUsableRulesReductionPairsProof [EQUIVALENT, 155 ms] 18.38/8.42 (9) EDP 18.38/8.42 (10) EDependencyGraphProof [EQUIVALENT, 0 ms] 18.38/8.42 (11) TRUE 18.38/8.42 (12) EDP 18.38/8.42 (13) ESharpUsableEquationsProof [EQUIVALENT, 0 ms] 18.38/8.42 (14) EDP 18.38/8.42 (15) EUsableRulesReductionPairsProof [EQUIVALENT, 80 ms] 18.38/8.42 (16) EDP 18.38/8.42 (17) EDependencyGraphProof [EQUIVALENT, 0 ms] 18.38/8.42 (18) TRUE 18.38/8.42 (19) EDP 18.38/8.42 (20) ESharpUsableEquationsProof [EQUIVALENT, 0 ms] 18.38/8.42 (21) EDP 18.38/8.42 (22) EUsableRulesReductionPairsProof [EQUIVALENT, 83 ms] 18.38/8.42 (23) EDP 18.38/8.42 (24) EDependencyGraphProof [EQUIVALENT, 0 ms] 18.38/8.42 (25) TRUE 18.38/8.42 (26) EDP 18.38/8.42 (27) ESharpUsableEquationsProof [EQUIVALENT, 0 ms] 18.38/8.42 (28) EDP 18.38/8.42 (29) EUsableRulesReductionPairsProof [EQUIVALENT, 45 ms] 18.38/8.42 (30) EDP 18.38/8.42 (31) EDependencyGraphProof [EQUIVALENT, 0 ms] 18.38/8.42 (32) TRUE 18.38/8.42 (33) EDP 18.38/8.42 (34) ESharpUsableEquationsProof [EQUIVALENT, 0 ms] 18.38/8.42 (35) EDP 18.38/8.42 (36) EUsableRulesReductionPairsProof [EQUIVALENT, 44 ms] 18.38/8.42 (37) EDP 18.38/8.42 (38) EDependencyGraphProof [EQUIVALENT, 0 ms] 18.38/8.42 (39) TRUE 18.38/8.42 (40) EDP 18.38/8.42 (41) ESharpUsableEquationsProof [EQUIVALENT, 0 ms] 18.38/8.42 (42) EDP 18.38/8.42 (43) EUsableRulesProof [EQUIVALENT, 4 ms] 18.38/8.42 (44) EDP 18.38/8.42 (45) EDP 18.38/8.42 18.38/8.42 18.38/8.42 ---------------------------------------- 18.38/8.42 18.38/8.42 (0) 18.38/8.42 Obligation: 18.38/8.42 Equational rewrite system: 18.38/8.42 The TRS R consists of the following rules: 18.38/8.42 18.38/8.42 1 -> s_(0) 18.38/8.42 2 -> s_(s_(0)) 18.38/8.42 3 -> s_(s_(s_(0))) 18.38/8.42 4 -> s_(s_(s_(s_(0)))) 18.38/8.42 5 -> s_(s_(s_(s_(s_(0))))) 18.38/8.42 6 -> s_(s_(s_(s_(s_(s_(0)))))) 18.38/8.42 7 -> s_(s_(s_(s_(s_(s_(s_(0))))))) 18.38/8.42 U101(tt, M, N) -> U102(isNat(N), M, N) 18.38/8.42 U102(tt, M, N) -> d(N, M) 18.38/8.42 U11(tt) -> 0 18.38/8.42 U111(tt) -> 0 18.38/8.42 U121(tt, M', N') -> U122(isNzNat(N'), M', N') 18.38/8.42 U122(tt, M', N') -> U123(equal(_>_(N', M'), true), M', N') 18.38/8.42 U123(tt, M', N') -> gcd(d(N', M'), M') 18.38/8.42 U131(tt, N') -> N' 18.38/8.42 U141(tt, V2) -> U142(isNat(V2)) 18.38/8.42 U142(tt) -> tt 18.38/8.42 U151(tt, V2) -> U152(isNat(V2)) 18.38/8.42 U152(tt) -> tt 18.38/8.42 U161(tt) -> tt 18.38/8.42 U171(tt, V2) -> U172(isNat(V2)) 18.38/8.42 U172(tt) -> tt 18.38/8.42 U181(tt, V2) -> U182(isNat(V2)) 18.38/8.42 U182(tt) -> tt 18.38/8.42 U191(tt, V2) -> U192(isNat(V2)) 18.38/8.42 U192(tt) -> tt 18.38/8.42 U201(tt, V2) -> U202(isNat(V2)) 18.38/8.42 U202(tt) -> tt 18.38/8.42 U21(tt, M, N) -> U22(isNat(N), M, N) 18.38/8.42 U211(tt) -> tt 18.38/8.42 U22(tt, M, N) -> s_(_+_(N, _+_(M, _*_(N, M)))) 18.38/8.42 U221(tt, V2) -> U222(isNzNat(V2)) 18.38/8.42 U222(tt) -> tt 18.38/8.42 U231(tt, V2) -> U232(isNzNat(V2)) 18.38/8.42 U232(tt) -> tt 18.38/8.42 U241(tt, V2) -> U242(isNzNat(V2)) 18.38/8.42 U242(tt) -> tt 18.38/8.42 U251(tt) -> tt
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