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TRS Equational pair #487523325
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
n053.star.cs.uiowa.edu
space
Mixed_C
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
7.57193017006 seconds
cpu usage
16.716446962
max memory
2.49491456E9
stage attributes
key
value
output-size
104159
starexec-result
MAYBE
output
/export/starexec/sandbox/solver/bin/starexec_run_standard /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- MAYBE proof of /export/starexec/sandbox/benchmark/theBenchmark.xml # AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty Termination of the given ETRS could not be shown: (0) ETRS (1) EquationalDependencyPairsProof [EQUIVALENT, 0 ms] (2) EDP (3) EDependencyGraphProof [EQUIVALENT, 0 ms] (4) AND (5) EDP (6) ESharpUsableEquationsProof [EQUIVALENT, 6 ms] (7) EDP (8) EUsableRulesReductionPairsProof [EQUIVALENT, 163 ms] (9) EDP (10) EDependencyGraphProof [EQUIVALENT, 0 ms] (11) TRUE (12) EDP (13) ESharpUsableEquationsProof [EQUIVALENT, 0 ms] (14) EDP (15) EUsableRulesReductionPairsProof [EQUIVALENT, 33 ms] (16) EDP (17) EDependencyGraphProof [EQUIVALENT, 0 ms] (18) TRUE (19) EDP (20) ESharpUsableEquationsProof [EQUIVALENT, 0 ms] (21) EDP (22) EUsableRulesReductionPairsProof [EQUIVALENT, 25 ms] (23) EDP (24) EDependencyGraphProof [EQUIVALENT, 0 ms] (25) TRUE (26) EDP (27) ESharpUsableEquationsProof [EQUIVALENT, 0 ms] (28) EDP (29) EUsableRulesReductionPairsProof [EQUIVALENT, 31 ms] (30) EDP (31) EDependencyGraphProof [EQUIVALENT, 0 ms] (32) TRUE (33) EDP (34) ESharpUsableEquationsProof [EQUIVALENT, 0 ms] (35) EDP (36) EUsableRulesReductionPairsProof [EQUIVALENT, 37 ms] (37) EDP (38) EDependencyGraphProof [EQUIVALENT, 0 ms] (39) TRUE (40) EDP (41) ESharpUsableEquationsProof [EQUIVALENT, 0 ms] (42) EDP (43) EUsableRulesProof [EQUIVALENT, 0 ms] (44) EDP (45) EDP ---------------------------------------- (0) Obligation: Equational rewrite system: The TRS R consists of the following rules: 1 -> s_(0) 2 -> s_(s_(0)) 3 -> s_(s_(s_(0))) 4 -> s_(s_(s_(s_(0)))) 5 -> s_(s_(s_(s_(s_(0))))) 6 -> s_(s_(s_(s_(s_(s_(0)))))) 7 -> s_(s_(s_(s_(s_(s_(s_(0))))))) U101(tt, M, N) -> U102(isNat(N), M, N) U102(tt, M, N) -> d(N, M) U11(tt) -> 0 U111(tt) -> 0 U121(tt, M', N') -> U122(isNzNat(N'), M', N') U122(tt, M', N') -> U123(equal(_>_(N', M'), true), M', N') U123(tt, M', N') -> gcd(d(N', M'), M') U131(tt, N') -> N' U141(tt, V2) -> U142(isNat(V2)) U142(tt) -> tt U151(tt, V2) -> U152(isNat(V2)) U152(tt) -> tt U161(tt) -> tt U171(tt, V2) -> U172(isNat(V2)) U172(tt) -> tt U181(tt, V2) -> U182(isNat(V2)) U182(tt) -> tt U191(tt, V2) -> U192(isNat(V2)) U192(tt) -> tt U201(tt, V2) -> U202(isNat(V2)) U202(tt) -> tt U21(tt, M, N) -> U22(isNat(N), M, N) U211(tt) -> tt U22(tt, M, N) -> s_(_+_(N, _+_(M, _*_(N, M)))) U221(tt, V2) -> U222(isNzNat(V2))
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