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TRS Stand 20472 pair #381716107
details
property
value
status
complete
benchmark
PEANO_complete_noand_C.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n087.star.cs.uiowa.edu
space
Transformed_CSR_04
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
2.3714530468 seconds
cpu usage
6.431151322
max memory
4.16694272E8
stage attributes
key
value
output-size
51858
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# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty Termination w.r.t. Q of the given QTRS could be proven: (0) QTRS (1) QTRSToCSRProof [EQUIVALENT, 0 ms] (2) CSR (3) CSRRRRProof [EQUIVALENT, 109 ms] (4) CSR (5) CSRRRRProof [EQUIVALENT, 0 ms] (6) CSR (7) CSRRRRProof [EQUIVALENT, 17 ms] (8) CSR (9) CSRRRRProof [EQUIVALENT, 0 ms] (10) CSR (11) CSRRRRProof [EQUIVALENT, 0 ms] (12) CSR (13) CSRRRRProof [EQUIVALENT, 17 ms] (14) CSR (15) CSRRRRProof [EQUIVALENT, 0 ms] (16) CSR (17) CSRRRRProof [EQUIVALENT, 8 ms] (18) CSR (19) CSRRRRProof [EQUIVALENT, 0 ms] (20) CSR (21) CSRRRRProof [EQUIVALENT, 0 ms] (22) CSR (23) CSRRRRProof [EQUIVALENT, 5 ms] (24) CSR (25) CSRRRRProof [EQUIVALENT, 0 ms] (26) CSR (27) CSRRRRProof [EQUIVALENT, 0 ms] (28) CSR (29) CSRRRRProof [EQUIVALENT, 0 ms] (30) CSR (31) RisEmptyProof [EQUIVALENT, 2 ms] (32) YES ---------------------------------------- (0) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: active(U11(tt, V1, V2)) -> mark(U12(isNatKind(V1), V1, V2)) active(U12(tt, V1, V2)) -> mark(U13(isNatKind(V2), V1, V2)) active(U13(tt, V1, V2)) -> mark(U14(isNatKind(V2), V1, V2)) active(U14(tt, V1, V2)) -> mark(U15(isNat(V1), V2)) active(U15(tt, V2)) -> mark(U16(isNat(V2))) active(U16(tt)) -> mark(tt) active(U21(tt, V1)) -> mark(U22(isNatKind(V1), V1)) active(U22(tt, V1)) -> mark(U23(isNat(V1))) active(U23(tt)) -> mark(tt) active(U31(tt, V2)) -> mark(U32(isNatKind(V2))) active(U32(tt)) -> mark(tt) active(U41(tt)) -> mark(tt) active(U51(tt, N)) -> mark(U52(isNatKind(N), N)) active(U52(tt, N)) -> mark(N) active(U61(tt, M, N)) -> mark(U62(isNatKind(M), M, N)) active(U62(tt, M, N)) -> mark(U63(isNat(N), M, N)) active(U63(tt, M, N)) -> mark(U64(isNatKind(N), M, N)) active(U64(tt, M, N)) -> mark(s(plus(N, M))) active(isNat(0)) -> mark(tt) active(isNat(plus(V1, V2))) -> mark(U11(isNatKind(V1), V1, V2)) active(isNat(s(V1))) -> mark(U21(isNatKind(V1), V1)) active(isNatKind(0)) -> mark(tt) active(isNatKind(plus(V1, V2))) -> mark(U31(isNatKind(V1), V2)) active(isNatKind(s(V1))) -> mark(U41(isNatKind(V1))) active(plus(N, 0)) -> mark(U51(isNat(N), N)) active(plus(N, s(M))) -> mark(U61(isNat(M), M, N)) active(U11(X1, X2, X3)) -> U11(active(X1), X2, X3) active(U12(X1, X2, X3)) -> U12(active(X1), X2, X3) active(U13(X1, X2, X3)) -> U13(active(X1), X2, X3) active(U14(X1, X2, X3)) -> U14(active(X1), X2, X3) active(U15(X1, X2)) -> U15(active(X1), X2) active(U16(X)) -> U16(active(X)) active(U21(X1, X2)) -> U21(active(X1), X2) active(U22(X1, X2)) -> U22(active(X1), X2) active(U23(X)) -> U23(active(X)) active(U31(X1, X2)) -> U31(active(X1), X2) active(U32(X)) -> U32(active(X)) active(U41(X)) -> U41(active(X)) active(U51(X1, X2)) -> U51(active(X1), X2) active(U52(X1, X2)) -> U52(active(X1), X2) active(U61(X1, X2, X3)) -> U61(active(X1), X2, X3) active(U62(X1, X2, X3)) -> U62(active(X1), X2, X3) active(U63(X1, X2, X3)) -> U63(active(X1), X2, X3) active(U64(X1, X2, X3)) -> U64(active(X1), X2, X3) active(s(X)) -> s(active(X))
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