details

property	value
status	complete
benchmark	PEANO_complete_noand_GM.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n140.star.cs.uiowa.edu
space	Transformed_CSR_innermost_04

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	4.49141 seconds
cpu usage	12.3689
user time	11.9098
system time	0.459169
max virtual memory	1.8502192E7
max residence set size	980660.0

stage attributes

key	value
starexec-result	YES

output

11.97/4.22 YES 11.97/4.24 proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml 11.97/4.24 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 11.97/4.24 11.97/4.24 11.97/4.24 Termination w.r.t. Q of the given QTRS could be proven: 11.97/4.24 11.97/4.24 (0) QTRS 11.97/4.24 (1) DependencyPairsProof [EQUIVALENT, 136 ms] 11.97/4.24 (2) QDP 11.97/4.24 (3) DependencyGraphProof [EQUIVALENT, 0 ms] 11.97/4.24 (4) AND 11.97/4.24 (5) QDP 11.97/4.24 (6) UsableRulesProof [EQUIVALENT, 0 ms] 11.97/4.24 (7) QDP 11.97/4.24 (8) QReductionProof [EQUIVALENT, 0 ms] 11.97/4.24 (9) QDP 11.97/4.24 (10) QDPSizeChangeProof [EQUIVALENT, 0 ms] 11.97/4.24 (11) YES 11.97/4.24 (12) QDP 11.97/4.24 (13) UsableRulesProof [EQUIVALENT, 0 ms] 11.97/4.24 (14) QDP 11.97/4.24 (15) QReductionProof [EQUIVALENT, 0 ms] 11.97/4.24 (16) QDP 11.97/4.24 (17) QDPSizeChangeProof [EQUIVALENT, 0 ms] 11.97/4.24 (18) YES 11.97/4.24 (19) QDP 11.97/4.24 (20) QDPOrderProof [EQUIVALENT, 315 ms] 11.97/4.24 (21) QDP 11.97/4.24 (22) DependencyGraphProof [EQUIVALENT, 0 ms] 11.97/4.24 (23) QDP 11.97/4.24 (24) UsableRulesProof [EQUIVALENT, 0 ms] 11.97/4.24 (25) QDP 11.97/4.24 (26) QReductionProof [EQUIVALENT, 0 ms] 11.97/4.24 (27) QDP 11.97/4.24 (28) QDPSizeChangeProof [EQUIVALENT, 0 ms] 11.97/4.24 (29) YES 11.97/4.24 11.97/4.24 11.97/4.24 ---------------------------------------- 11.97/4.24 11.97/4.24 (0) 11.97/4.24 Obligation: 11.97/4.24 Q restricted rewrite system: 11.97/4.24 The TRS R consists of the following rules: 11.97/4.24 11.97/4.24 a__U11(tt, V1, V2) -> a__U12(a__isNatKind(V1), V1, V2) 11.97/4.24 a__U12(tt, V1, V2) -> a__U13(a__isNatKind(V2), V1, V2) 11.97/4.24 a__U13(tt, V1, V2) -> a__U14(a__isNatKind(V2), V1, V2) 11.97/4.24 a__U14(tt, V1, V2) -> a__U15(a__isNat(V1), V2) 11.97/4.24 a__U15(tt, V2) -> a__U16(a__isNat(V2)) 11.97/4.24 a__U16(tt) -> tt 11.97/4.24 a__U21(tt, V1) -> a__U22(a__isNatKind(V1), V1) 11.97/4.24 a__U22(tt, V1) -> a__U23(a__isNat(V1)) 11.97/4.24 a__U23(tt) -> tt 11.97/4.24 a__U31(tt, V2) -> a__U32(a__isNatKind(V2)) 11.97/4.24 a__U32(tt) -> tt 11.97/4.24 a__U41(tt) -> tt 11.97/4.24 a__U51(tt, N) -> a__U52(a__isNatKind(N), N) 11.97/4.24 a__U52(tt, N) -> mark(N) 11.97/4.24 a__U61(tt, M, N) -> a__U62(a__isNatKind(M), M, N) 11.97/4.24 a__U62(tt, M, N) -> a__U63(a__isNat(N), M, N) 11.97/4.24 a__U63(tt, M, N) -> a__U64(a__isNatKind(N), M, N) 11.97/4.24 a__U64(tt, M, N) -> s(a__plus(mark(N), mark(M))) 11.97/4.24 a__isNat(0) -> tt 11.97/4.24 a__isNat(plus(V1, V2)) -> a__U11(a__isNatKind(V1), V1, V2) 11.97/4.24 a__isNat(s(V1)) -> a__U21(a__isNatKind(V1), V1) 11.97/4.24 a__isNatKind(0) -> tt 11.97/4.24 a__isNatKind(plus(V1, V2)) -> a__U31(a__isNatKind(V1), V2) 11.97/4.24 a__isNatKind(s(V1)) -> a__U41(a__isNatKind(V1)) 11.97/4.24 a__plus(N, 0) -> a__U51(a__isNat(N), N) 11.97/4.24 a__plus(N, s(M)) -> a__U61(a__isNat(M), M, N) 11.97/4.24 mark(U11(X1, X2, X3)) -> a__U11(mark(X1), X2, X3) 11.97/4.24 mark(U12(X1, X2, X3)) -> a__U12(mark(X1), X2, X3) 11.97/4.24 mark(isNatKind(X)) -> a__isNatKind(X) 11.97/4.24 mark(U13(X1, X2, X3)) -> a__U13(mark(X1), X2, X3) 11.97/4.24 mark(U14(X1, X2, X3)) -> a__U14(mark(X1), X2, X3) 11.97/4.24 mark(U15(X1, X2)) -> a__U15(mark(X1), X2) 11.97/4.24 mark(isNat(X)) -> a__isNat(X) 11.97/4.24 mark(U16(X)) -> a__U16(mark(X)) 11.97/4.24 mark(U21(X1, X2)) -> a__U21(mark(X1), X2) 11.97/4.24 mark(U22(X1, X2)) -> a__U22(mark(X1), X2) 11.97/4.24 mark(U23(X)) -> a__U23(mark(X)) 11.97/4.24 mark(U31(X1, X2)) -> a__U31(mark(X1), X2) 11.97/4.24 mark(U32(X)) -> a__U32(mark(X)) 11.97/4.24 mark(U41(X)) -> a__U41(mark(X)) 11.97/4.24 mark(U51(X1, X2)) -> a__U51(mark(X1), X2) 11.97/4.24 mark(U52(X1, X2)) -> a__U52(mark(X1), X2) 11.97/4.24 mark(U61(X1, X2, X3)) -> a__U61(mark(X1), X2, X3) 11.97/4.24 mark(U62(X1, X2, X3)) -> a__U62(mark(X1), X2, X3) 11.97/4.24 mark(U63(X1, X2, X3)) -> a__U63(mark(X1), X2, X3) 11.97/4.24 mark(U64(X1, X2, X3)) -> a__U64(mark(X1), X2, X3) 11.97/4.24 mark(plus(X1, X2)) -> a__plus(mark(X1), mark(X2)) 11.97/4.24 mark(tt) -> tt 11.97/4.24 mark(s(X)) -> s(mark(X)) 11.97/4.24 mark(0) -> 0 11.97/4.24 a__U11(X1, X2, X3) -> U11(X1, X2, X3) 11.97/4.24 a__U12(X1, X2, X3) -> U12(X1, X2, X3) 11.97/4.24 a__isNatKind(X) -> isNatKind(X) 11.97/4.24 a__U13(X1, X2, X3) -> U13(X1, X2, X3) popout

output may be truncated. 'popout' for the full output.

job log

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actions

all output return to TRS_Innermost 2019-03-28 22.12