Runtime_Complexity_Innermost_Rewriting 2019-04-01 06.40 pair #433313806

details

property	value
status	complete
benchmark	turing_typed.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n110.star.cs.uiowa.edu
space	Frederiksen_Glenstrup

run statistics

property	value
solver	AProVE
configuration	complexity
runtime (wallclock)	3.30467 seconds
cpu usage	9.63123
user time	9.00334
system time	0.627892
max virtual memory	1.8477728E7
max residence set size	2147948.0

stage attributes

key	value
starexec-result	WORST_CASE(NON_POLY, ?)

output

9.37/3.24	WORST_CASE(NON_POLY, ?)
9.37/3.25	proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml
9.37/3.25	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
9.37/3.25	
9.37/3.25	
9.37/3.25	The Runtime Complexity (innermost) of the given CpxRelTRS could be proven to be BOUNDS(INF, INF).
9.37/3.25	
9.37/3.25	(0) CpxRelTRS
9.37/3.25	(1) STerminationProof [BOTH CONCRETE BOUNDS(ID, ID), 211 ms]
9.37/3.25	(2) CpxRelTRS
9.37/3.25	(3) RelTrsToDecreasingLoopProblemProof [LOWER BOUND(ID), 0 ms]
9.37/3.25	(4) TRS for Loop Detection
9.37/3.25	(5) DecreasingLoopProof [LOWER BOUND(ID), 0 ms]
9.37/3.25	(6) BEST
9.37/3.25	    (7) proven lower bound
9.37/3.25	        (8) LowerBoundPropagationProof [FINISHED, 0 ms]
9.37/3.25	        (9) BOUNDS(n^1, INF)
9.37/3.25	    (10) TRS for Loop Detection
9.37/3.25	        (11) InfiniteLowerBoundProof [FINISHED, 1188 ms]
9.37/3.25	        (12) BOUNDS(INF, INF)
9.37/3.25	
9.37/3.25	
9.37/3.25	----------------------------------------
9.37/3.25	
9.37/3.25	(0)
9.37/3.25	Obligation:
9.37/3.25	The Runtime Complexity (innermost) of the given CpxRelTRS could be proven to be BOUNDS(INF, INF).
9.37/3.25	
9.37/3.25	
9.37/3.25	The TRS R consists of the following rules:
9.37/3.25	
9.37/3.25	   turing(I(IfGoto(i1, i2), r), revltape, Cons(x, xs), prog) -> turing[Ite](!EQ(x, i1), I(IfGoto(i1, i2), r), revltape, Cons(x, xs), prog)
9.37/3.25	   turing(I(Goto(int), r), revltape, rtape, prog) -> turing(lookup(int, prog), revltape, rtape, prog)
9.37/3.25	   turing(I(Right, r), revltape, Cons(x, xs), prog) -> turing(r, Cons(x, revltape), xs, prog)
9.37/3.25	   turing(I(Right, r), revltape, Nil, prog) -> turing(r, Cons(0, revltape), Nil, prog)
9.37/3.25	   turing(I(Left, r), Cons(x, xs), rtape, prog) -> turing(r, xs, Cons(x, rtape), prog)
9.37/3.25	   turing(I(Left, r), Nil, rtape, prog) -> turing(r, Nil, Cons(0, rtape), prog)
9.37/3.25	   turing(I(Write(int), r), revltape, Cons(x, xs), prog) -> turing(r, revltape, Cons(int, xs), prog)
9.37/3.25	   turing(I(Halt, r), revltape, rtape, prog) -> rtape
9.37/3.25	   turing(Empty, revltape, rtape, prog) -> rtape
9.37/3.25	   lookup(S(x), I(l, r)) -> lookup(x, r)
9.37/3.25	   instrsConstrCheck(I(l1, r1), I(x, y)) -> True
9.37/3.25	   instrsConstrCheck(I(l1, r1), Empty) -> False
9.37/3.25	   instrsConstrCheck(Empty, I(x, y)) -> False
9.37/3.25	   instrsConstrCheck(Empty, Empty) -> True
9.37/3.25	   instrConstrCheck(IfGoto(igtNat1, igtNat2), IfGoto(igtNat12, igtNat22)) -> True
9.37/3.25	   instrConstrCheck(IfGoto(igtNat1, igtNat2), Goto(gtNat2)) -> False
9.37/3.25	   instrConstrCheck(IfGoto(igtNat1, igtNat2), Right) -> False
9.37/3.25	   instrConstrCheck(IfGoto(igtNat1, igtNat2), Left) -> False
9.37/3.25	   instrConstrCheck(IfGoto(igtNat1, igtNat2), Write(wNat2)) -> False
9.37/3.25	   instrConstrCheck(IfGoto(igtNat1, igtNat2), Halt) -> False
9.37/3.25	   instrConstrCheck(Goto(gtNat), IfGoto(igtNat12, igtNat22)) -> False
9.37/3.25	   instrConstrCheck(Goto(gtNat), Goto(gtNat2)) -> True
9.37/3.25	   instrConstrCheck(Goto(gtNat), Right) -> False
9.37/3.25	   instrConstrCheck(Goto(gtNat), Left) -> False
9.37/3.25	   instrConstrCheck(Goto(gtNat), Write(wNat2)) -> False
9.37/3.25	   instrConstrCheck(Goto(gtNat), Halt) -> False
9.37/3.25	   instrConstrCheck(Right, IfGoto(igtNat12, igtNat22)) -> False
9.37/3.25	   instrConstrCheck(Right, Goto(gtNat2)) -> False
9.37/3.25	   instrConstrCheck(Right, Right) -> True
9.37/3.25	   instrConstrCheck(Right, Left) -> False
9.37/3.25	   instrConstrCheck(Right, Write(wNat2)) -> False
9.37/3.25	   instrConstrCheck(Right, Halt) -> False
9.37/3.25	   instrConstrCheck(Left, IfGoto(igtNat12, igtNat22)) -> False
9.37/3.25	   instrConstrCheck(Left, Goto(gtNat2)) -> False
9.37/3.25	   instrConstrCheck(Left, Right) -> False
9.37/3.25	   instrConstrCheck(Left, Left) -> True
9.37/3.25	   instrConstrCheck(Left, Write(wNat2)) -> False
9.37/3.25	   instrConstrCheck(Left, Halt) -> False
9.37/3.25	   instrConstrCheck(Write(wNat), IfGoto(igtNat12, igtNat22)) -> False
9.37/3.25	   instrConstrCheck(Write(wNat), Goto(gtNat2)) -> False
9.37/3.25	   instrConstrCheck(Write(wNat), Right) -> False
9.37/3.25	   instrConstrCheck(Write(wNat), Left) -> False
9.37/3.25	   instrConstrCheck(Write(wNat), Write(wNat2)) -> True
9.37/3.25	   instrConstrCheck(Write(wNat), Halt) -> False
9.37/3.25	   instrConstrCheck(Halt, IfGoto(igtNat12, igtNat22)) -> False
9.37/3.25	   instrConstrCheck(Halt, Goto(gtNat2)) -> False
9.37/3.25	   instrConstrCheck(Halt, Right) -> False
9.37/3.25	   instrConstrCheck(Halt, Left) -> False
9.37/3.25	   instrConstrCheck(Halt, Write(wNat2)) -> False
9.37/3.25	   instrConstrCheck(Halt, Halt) -> True
9.37/3.25	   notEmpty(Cons(x, xs)) -> True
9.37/3.25	   notEmpty(Nil) -> False
9.37/3.25	   lookup(0, instrs) -> instrs
9.37/3.25	   instrsSecond(I(l, r)) -> r
9.37/3.25	   instrsFirst(I(l, r)) -> l
9.37/3.25	   getWrite(Write(int)) -> int
9.37/3.25	   getGotoSecond(IfGoto(i1, i2)) -> i2
9.37/3.25	   getGotoFirst(IfGoto(i1, i2)) -> i1
9.37/3.25	   getGoto(Goto(int)) -> int
9.37/3.25	   run(prog, tapeinput) -> turing(prog, Nil, tapeinput, prog)
9.37/3.25	
9.37/3.25	The (relative) TRS S consists of the following rules:
9.37/3.25	
9.37/3.25	   !EQ(S(x), S(y)) -> !EQ(x, y)
9.37/3.25	   !EQ(0, S(y)) -> False
9.37/3.25	   !EQ(S(x), 0) -> False
9.37/3.25	   !EQ(0, 0) -> True
9.37/3.25	   turing[Ite](True, I(IfGoto(i1, i2), r), revltape, rtape, prog) -> turing(lookup(i2, prog), revltape, rtape, prog)
9.37/3.25	   turing[Ite](False, I(l, r), revltape, rtape, prog) -> turing(r, revltape, rtape, prog)

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job log

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actions all output return to Runtime_Complexity_Innermost_Rewriting 2019-04-01 06.40