1149.63/291.56 WORST_CASE(Omega(n^1), ?) 1149.63/291.59 proof of /export/starexec/sandbox/benchmark/theBenchmark.xml 1149.63/291.59 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 1149.63/291.59 1149.63/291.59 1149.63/291.59 The Runtime Complexity (innermost) of the given CpxTRS could be proven to be BOUNDS(n^1, INF). 1149.63/291.59 1149.63/291.59 (0) CpxTRS 1149.63/291.59 (1) RelTrsToDecreasingLoopProblemProof [LOWER BOUND(ID), 0 ms] 1149.63/291.59 (2) TRS for Loop Detection 1149.63/291.59 (3) DecreasingLoopProof [LOWER BOUND(ID), 2281 ms] 1149.63/291.59 (4) BEST 1149.63/291.59 (5) proven lower bound 1149.63/291.59 (6) LowerBoundPropagationProof [FINISHED, 0 ms] 1149.63/291.59 (7) BOUNDS(n^1, INF) 1149.63/291.59 (8) TRS for Loop Detection 1149.63/291.59 1149.63/291.59 1149.63/291.59 ---------------------------------------- 1149.63/291.59 1149.63/291.59 (0) 1149.63/291.59 Obligation: 1149.63/291.59 The Runtime Complexity (innermost) of the given CpxTRS could be proven to be BOUNDS(n^1, INF). 1149.63/291.59 1149.63/291.59 1149.63/291.59 The TRS R consists of the following rules: 1149.63/291.59 1149.63/291.59 start(i) -> busy(F, closed, stop, false, false, false, i) 1149.63/291.59 busy(BF, d, stop, b1, b2, b3, i) -> incorrect 1149.63/291.59 busy(FS, d, stop, b1, b2, b3, i) -> incorrect 1149.63/291.59 busy(fl, open, up, b1, b2, b3, i) -> incorrect 1149.63/291.59 busy(fl, open, down, b1, b2, b3, i) -> incorrect 1149.63/291.59 busy(B, closed, stop, false, false, false, empty) -> correct 1149.63/291.59 busy(F, closed, stop, false, false, false, empty) -> correct 1149.63/291.59 busy(S, closed, stop, false, false, false, empty) -> correct 1149.63/291.59 busy(B, closed, stop, false, false, false, newbuttons(i1, i2, i3, i)) -> idle(B, closed, stop, false, false, false, newbuttons(i1, i2, i3, i)) 1149.63/291.59 busy(F, closed, stop, false, false, false, newbuttons(i1, i2, i3, i)) -> idle(F, closed, stop, false, false, false, newbuttons(i1, i2, i3, i)) 1149.63/291.59 busy(S, closed, stop, false, false, false, newbuttons(i1, i2, i3, i)) -> idle(S, closed, stop, false, false, false, newbuttons(i1, i2, i3, i)) 1149.63/291.59 busy(B, open, stop, false, b2, b3, i) -> idle(B, closed, stop, false, b2, b3, i) 1149.63/291.59 busy(F, open, stop, b1, false, b3, i) -> idle(F, closed, stop, b1, false, b3, i) 1149.63/291.59 busy(S, open, stop, b1, b2, false, i) -> idle(S, closed, stop, b1, b2, false, i) 1149.63/291.59 busy(B, d, stop, true, b2, b3, i) -> idle(B, open, stop, false, b2, b3, i) 1149.63/291.59 busy(F, d, stop, b1, true, b3, i) -> idle(F, open, stop, b1, false, b3, i) 1149.63/291.59 busy(S, d, stop, b1, b2, true, i) -> idle(S, open, stop, b1, b2, false, i) 1149.63/291.59 busy(B, closed, down, b1, b2, b3, i) -> idle(B, closed, stop, b1, b2, b3, i) 1149.63/291.59 busy(S, closed, up, b1, b2, b3, i) -> idle(S, closed, stop, b1, b2, b3, i) 1149.63/291.59 busy(B, closed, up, true, b2, b3, i) -> idle(B, closed, stop, true, b2, b3, i) 1149.63/291.59 busy(F, closed, up, b1, true, b3, i) -> idle(F, closed, stop, b1, true, b3, i) 1149.63/291.59 busy(F, closed, down, b1, true, b3, i) -> idle(F, closed, stop, b1, true, b3, i) 1149.63/291.59 busy(S, closed, down, b1, b2, true, i) -> idle(S, closed, stop, b1, b2, true, i) 1149.63/291.59 busy(B, closed, up, false, b2, b3, i) -> idle(BF, closed, up, false, b2, b3, i) 1149.63/291.59 busy(F, closed, up, b1, false, b3, i) -> idle(FS, closed, up, b1, false, b3, i) 1149.63/291.59 busy(F, closed, down, b1, false, b3, i) -> idle(BF, closed, down, b1, false, b3, i) 1149.63/291.59 busy(S, closed, down, b1, b2, false, i) -> idle(FS, closed, down, b1, b2, false, i) 1149.63/291.59 busy(BF, closed, up, b1, b2, b3, i) -> idle(F, closed, up, b1, b2, b3, i) 1149.63/291.59 busy(BF, closed, down, b1, b2, b3, i) -> idle(B, closed, down, b1, b2, b3, i) 1149.63/291.59 busy(FS, closed, up, b1, b2, b3, i) -> idle(S, closed, up, b1, b2, b3, i) 1149.63/291.59 busy(FS, closed, down, b1, b2, b3, i) -> idle(F, closed, down, b1, b2, b3, i) 1149.63/291.59 busy(B, closed, stop, false, true, b3, i) -> idle(B, closed, up, false, true, b3, i) 1149.63/291.59 busy(B, closed, stop, false, false, true, i) -> idle(B, closed, up, false, false, true, i) 1149.63/291.59 busy(F, closed, stop, true, false, b3, i) -> idle(F, closed, down, true, false, b3, i) 1149.63/291.59 busy(F, closed, stop, false, false, true, i) -> idle(F, closed, up, false, false, true, i) 1149.63/291.59 busy(S, closed, stop, b1, true, false, i) -> idle(S, closed, down, b1, true, false, i) 1149.63/291.59 busy(S, closed, stop, true, false, false, i) -> idle(S, closed, down, true, false, false, i) 1149.63/291.59 idle(fl, d, m, b1, b2, b3, empty) -> busy(fl, d, m, b1, b2, b3, empty) 1149.63/291.59 idle(fl, d, m, b1, b2, b3, newbuttons(i1, i2, i3, i)) -> busy(fl, d, m, or(b1, i1), or(b2, i2), or(b3, i3), i) 1149.63/291.59 or(true, b) -> true 1149.63/291.59 or(false, b) -> b 1149.63/291.59 1149.63/291.59 S is empty. 1149.63/291.59 Rewrite Strategy: INNERMOST 1149.63/291.59 ---------------------------------------- 1149.63/291.59 1149.63/291.59 (1) RelTrsToDecreasingLoopProblemProof (LOWER BOUND(ID)) 1149.63/291.59 Transformed a relative TRS into a decreasing-loop problem. 1149.63/291.59 ---------------------------------------- 1149.63/291.59 1149.63/291.59 (2) 1149.63/291.59 Obligation: 1149.63/291.59 Analyzing the following TRS for decreasing loops: 1149.63/291.59 1149.63/291.59 The Runtime Complexity (innermost) of the given CpxTRS could be proven to be BOUNDS(n^1, INF). 1149.63/291.59 1149.63/291.59 1149.63/291.59 The TRS R consists of the following rules: 1149.63/291.59 1149.63/291.59 start(i) -> busy(F, closed, stop, false, false, false, i) 1149.63/291.59 busy(BF, d, stop, b1, b2, b3, i) -> incorrect 1149.63/291.59 busy(FS, d, stop, b1, b2, b3, i) -> incorrect 1149.63/291.59 busy(fl, open, up, b1, b2, b3, i) -> incorrect 1149.63/291.59 busy(fl, open, down, b1, b2, b3, i) -> incorrect 1149.63/291.59 busy(B, closed, stop, false, false, false, empty) -> correct 1149.63/291.59 busy(F, closed, stop, false, false, false, empty) -> correct 1149.63/291.59 busy(S, closed, stop, false, false, false, empty) -> correct 1149.63/291.59 busy(B, closed, stop, false, false, false, newbuttons(i1, i2, i3, i)) -> idle(B, closed, stop, false, false, false, newbuttons(i1, i2, i3, i)) 1149.63/291.59 busy(F, closed, stop, false, false, false, newbuttons(i1, i2, i3, i)) -> idle(F, closed, stop, false, false, false, newbuttons(i1, i2, i3, i)) 1149.63/291.59 busy(S, closed, stop, false, false, false, newbuttons(i1, i2, i3, i)) -> idle(S, closed, stop, false, false, false, newbuttons(i1, i2, i3, i)) 1149.63/291.59 busy(B, open, stop, false, b2, b3, i) -> idle(B, closed, stop, false, b2, b3, i) 1149.63/291.59 busy(F, open, stop, b1, false, b3, i) -> idle(F, closed, stop, b1, false, b3, i) 1149.63/291.59 busy(S, open, stop, b1, b2, false, i) -> idle(S, closed, stop, b1, b2, false, i) 1149.63/291.59 busy(B, d, stop, true, b2, b3, i) -> idle(B, open, stop, false, b2, b3, i) 1149.63/291.59 busy(F, d, stop, b1, true, b3, i) -> idle(F, open, stop, b1, false, b3, i) 1149.63/291.59 busy(S, d, stop, b1, b2, true, i) -> idle(S, open, stop, b1, b2, false, i) 1149.63/291.59 busy(B, closed, down, b1, b2, b3, i) -> idle(B, closed, stop, b1, b2, b3, i) 1149.63/291.59 busy(S, closed, up, b1, b2, b3, i) -> idle(S, closed, stop, b1, b2, b3, i) 1149.63/291.59 busy(B, closed, up, true, b2, b3, i) -> idle(B, closed, stop, true, b2, b3, i) 1149.63/291.59 busy(F, closed, up, b1, true, b3, i) -> idle(F, closed, stop, b1, true, b3, i) 1149.63/291.59 busy(F, closed, down, b1, true, b3, i) -> idle(F, closed, stop, b1, true, b3, i) 1149.63/291.59 busy(S, closed, down, b1, b2, true, i) -> idle(S, closed, stop, b1, b2, true, i) 1149.63/291.59 busy(B, closed, up, false, b2, b3, i) -> idle(BF, closed, up, false, b2, b3, i) 1149.63/291.59 busy(F, closed, up, b1, false, b3, i) -> idle(FS, closed, up, b1, false, b3, i) 1149.63/291.59 busy(F, closed, down, b1, false, b3, i) -> idle(BF, closed, down, b1, false, b3, i) 1149.63/291.59 busy(S, closed, down, b1, b2, false, i) -> idle(FS, closed, down, b1, b2, false, i) 1149.63/291.59 busy(BF, closed, up, b1, b2, b3, i) -> idle(F, closed, up, b1, b2, b3, i) 1149.63/291.59 busy(BF, closed, down, b1, b2, b3, i) -> idle(B, closed, down, b1, b2, b3, i) 1149.63/291.59 busy(FS, closed, up, b1, b2, b3, i) -> idle(S, closed, up, b1, b2, b3, i) 1149.63/291.59 busy(FS, closed, down, b1, b2, b3, i) -> idle(F, closed, down, b1, b2, b3, i) 1149.63/291.59 busy(B, closed, stop, false, true, b3, i) -> idle(B, closed, up, false, true, b3, i) 1149.63/291.59 busy(B, closed, stop, false, false, true, i) -> idle(B, closed, up, false, false, true, i) 1149.63/291.59 busy(F, closed, stop, true, false, b3, i) -> idle(F, closed, down, true, false, b3, i) 1149.63/291.59 busy(F, closed, stop, false, false, true, i) -> idle(F, closed, up, false, false, true, i) 1149.63/291.59 busy(S, closed, stop, b1, true, false, i) -> idle(S, closed, down, b1, true, false, i) 1149.63/291.59 busy(S, closed, stop, true, false, false, i) -> idle(S, closed, down, true, false, false, i) 1149.63/291.59 idle(fl, d, m, b1, b2, b3, empty) -> busy(fl, d, m, b1, b2, b3, empty) 1149.63/291.59 idle(fl, d, m, b1, b2, b3, newbuttons(i1, i2, i3, i)) -> busy(fl, d, m, or(b1, i1), or(b2, i2), or(b3, i3), i) 1149.63/291.59 or(true, b) -> true 1149.63/291.59 or(false, b) -> b 1149.63/291.59 1149.63/291.59 S is empty. 1149.63/291.59 Rewrite Strategy: INNERMOST 1149.63/291.59 ---------------------------------------- 1149.63/291.59 1149.63/291.59 (3) DecreasingLoopProof (LOWER BOUND(ID)) 1149.63/291.59 The following loop(s) give(s) rise to the lower bound Omega(n^1): 1149.63/291.59 1149.63/291.59 The rewrite sequence 1149.63/291.59 1149.63/291.59 idle(S, d, stop, true, true, false, newbuttons(i1, i2, true, i)) ->^+ idle(S, open, stop, true, true, false, i) 1149.63/291.59 1149.63/291.59 gives rise to a decreasing loop by considering the right hand sides subterm at position []. 1149.63/291.59 1149.63/291.59 The pumping substitution is [i / newbuttons(i1, i2, true, i)]. 1149.63/291.59 1149.63/291.59 The result substitution is [d / open]. 1149.63/291.59 1149.63/291.59 1149.63/291.59 1149.63/291.59 1149.63/291.59 ---------------------------------------- 1149.63/291.59 1149.63/291.59 (4) 1149.63/291.59 Complex Obligation (BEST) 1149.63/291.59 1149.63/291.59 ---------------------------------------- 1149.63/291.59 1149.63/291.59 (5) 1149.63/291.59 Obligation: 1149.63/291.59 Proved the lower bound n^1 for the following obligation: 1149.63/291.59 1149.63/291.59 The Runtime Complexity (innermost) of the given CpxTRS could be proven to be BOUNDS(n^1, INF). 1149.63/291.59 1149.63/291.59 1149.63/291.59 The TRS R consists of the following rules: 1149.63/291.59 1149.63/291.59 start(i) -> busy(F, closed, stop, false, false, false, i) 1149.63/291.59 busy(BF, d, stop, b1, b2, b3, i) -> incorrect 1149.63/291.59 busy(FS, d, stop, b1, b2, b3, i) -> incorrect 1149.63/291.59 busy(fl, open, up, b1, b2, b3, i) -> incorrect 1149.63/291.59 busy(fl, open, down, b1, b2, b3, i) -> incorrect 1149.63/291.59 busy(B, closed, stop, false, false, false, empty) -> correct 1149.63/291.59 busy(F, closed, stop, false, false, false, empty) -> correct 1149.63/291.59 busy(S, closed, stop, false, false, false, empty) -> correct 1149.63/291.59 busy(B, closed, stop, false, false, false, newbuttons(i1, i2, i3, i)) -> idle(B, closed, stop, false, false, false, newbuttons(i1, i2, i3, i)) 1149.63/291.59 busy(F, closed, stop, false, false, false, newbuttons(i1, i2, i3, i)) -> idle(F, closed, stop, false, false, false, newbuttons(i1, i2, i3, i)) 1149.63/291.59 busy(S, closed, stop, false, false, false, newbuttons(i1, i2, i3, i)) -> idle(S, closed, stop, false, false, false, newbuttons(i1, i2, i3, i)) 1149.63/291.59 busy(B, open, stop, false, b2, b3, i) -> idle(B, closed, stop, false, b2, b3, i) 1149.63/291.59 busy(F, open, stop, b1, false, b3, i) -> idle(F, closed, stop, b1, false, b3, i) 1149.63/291.59 busy(S, open, stop, b1, b2, false, i) -> idle(S, closed, stop, b1, b2, false, i) 1149.63/291.59 busy(B, d, stop, true, b2, b3, i) -> idle(B, open, stop, false, b2, b3, i) 1149.63/291.59 busy(F, d, stop, b1, true, b3, i) -> idle(F, open, stop, b1, false, b3, i) 1149.63/291.59 busy(S, d, stop, b1, b2, true, i) -> idle(S, open, stop, b1, b2, false, i) 1149.63/291.59 busy(B, closed, down, b1, b2, b3, i) -> idle(B, closed, stop, b1, b2, b3, i) 1149.63/291.59 busy(S, closed, up, b1, b2, b3, i) -> idle(S, closed, stop, b1, b2, b3, i) 1149.63/291.59 busy(B, closed, up, true, b2, b3, i) -> idle(B, closed, stop, true, b2, b3, i) 1149.63/291.59 busy(F, closed, up, b1, true, b3, i) -> idle(F, closed, stop, b1, true, b3, i) 1149.63/291.59 busy(F, closed, down, b1, true, b3, i) -> idle(F, closed, stop, b1, true, b3, i) 1149.63/291.59 busy(S, closed, down, b1, b2, true, i) -> idle(S, closed, stop, b1, b2, true, i) 1149.63/291.59 busy(B, closed, up, false, b2, b3, i) -> idle(BF, closed, up, false, b2, b3, i) 1149.63/291.59 busy(F, closed, up, b1, false, b3, i) -> idle(FS, closed, up, b1, false, b3, i) 1149.63/291.59 busy(F, closed, down, b1, false, b3, i) -> idle(BF, closed, down, b1, false, b3, i) 1149.63/291.59 busy(S, closed, down, b1, b2, false, i) -> idle(FS, closed, down, b1, b2, false, i) 1149.63/291.59 busy(BF, closed, up, b1, b2, b3, i) -> idle(F, closed, up, b1, b2, b3, i) 1149.63/291.59 busy(BF, closed, down, b1, b2, b3, i) -> idle(B, closed, down, b1, b2, b3, i) 1149.63/291.59 busy(FS, closed, up, b1, b2, b3, i) -> idle(S, closed, up, b1, b2, b3, i) 1149.63/291.59 busy(FS, closed, down, b1, b2, b3, i) -> idle(F, closed, down, b1, b2, b3, i) 1149.63/291.59 busy(B, closed, stop, false, true, b3, i) -> idle(B, closed, up, false, true, b3, i) 1149.63/291.59 busy(B, closed, stop, false, false, true, i) -> idle(B, closed, up, false, false, true, i) 1149.63/291.59 busy(F, closed, stop, true, false, b3, i) -> idle(F, closed, down, true, false, b3, i) 1149.63/291.59 busy(F, closed, stop, false, false, true, i) -> idle(F, closed, up, false, false, true, i) 1149.63/291.59 busy(S, closed, stop, b1, true, false, i) -> idle(S, closed, down, b1, true, false, i) 1149.63/291.59 busy(S, closed, stop, true, false, false, i) -> idle(S, closed, down, true, false, false, i) 1149.63/291.59 idle(fl, d, m, b1, b2, b3, empty) -> busy(fl, d, m, b1, b2, b3, empty) 1149.63/291.59 idle(fl, d, m, b1, b2, b3, newbuttons(i1, i2, i3, i)) -> busy(fl, d, m, or(b1, i1), or(b2, i2), or(b3, i3), i) 1149.63/291.59 or(true, b) -> true 1149.63/291.59 or(false, b) -> b 1149.63/291.59 1149.63/291.59 S is empty. 1149.63/291.59 Rewrite Strategy: INNERMOST 1149.63/291.59 ---------------------------------------- 1149.63/291.59 1149.63/291.59 (6) LowerBoundPropagationProof (FINISHED) 1149.63/291.59 Propagated lower bound. 1149.63/291.59 ---------------------------------------- 1149.63/291.59 1149.63/291.59 (7) 1149.63/291.59 BOUNDS(n^1, INF) 1149.63/291.59 1149.63/291.59 ---------------------------------------- 1149.63/291.59 1149.63/291.59 (8) 1149.63/291.59 Obligation: 1149.63/291.59 Analyzing the following TRS for decreasing loops: 1149.63/291.59 1149.63/291.59 The Runtime Complexity (innermost) of the given CpxTRS could be proven to be BOUNDS(n^1, INF). 1149.63/291.59 1149.63/291.59 1149.63/291.59 The TRS R consists of the following rules: 1149.63/291.59 1149.63/291.59 start(i) -> busy(F, closed, stop, false, false, false, i) 1149.63/291.59 busy(BF, d, stop, b1, b2, b3, i) -> incorrect 1149.63/291.59 busy(FS, d, stop, b1, b2, b3, i) -> incorrect 1149.63/291.59 busy(fl, open, up, b1, b2, b3, i) -> incorrect 1149.63/291.59 busy(fl, open, down, b1, b2, b3, i) -> incorrect 1149.63/291.59 busy(B, closed, stop, false, false, false, empty) -> correct 1149.63/291.59 busy(F, closed, stop, false, false, false, empty) -> correct 1149.63/291.59 busy(S, closed, stop, false, false, false, empty) -> correct 1149.63/291.59 busy(B, closed, stop, false, false, false, newbuttons(i1, i2, i3, i)) -> idle(B, closed, stop, false, false, false, newbuttons(i1, i2, i3, i)) 1149.63/291.59 busy(F, closed, stop, false, false, false, newbuttons(i1, i2, i3, i)) -> idle(F, closed, stop, false, false, false, newbuttons(i1, i2, i3, i)) 1149.63/291.59 busy(S, closed, stop, false, false, false, newbuttons(i1, i2, i3, i)) -> idle(S, closed, stop, false, false, false, newbuttons(i1, i2, i3, i)) 1149.63/291.59 busy(B, open, stop, false, b2, b3, i) -> idle(B, closed, stop, false, b2, b3, i) 1149.63/291.59 busy(F, open, stop, b1, false, b3, i) -> idle(F, closed, stop, b1, false, b3, i) 1149.63/291.59 busy(S, open, stop, b1, b2, false, i) -> idle(S, closed, stop, b1, b2, false, i) 1149.63/291.59 busy(B, d, stop, true, b2, b3, i) -> idle(B, open, stop, false, b2, b3, i) 1149.63/291.59 busy(F, d, stop, b1, true, b3, i) -> idle(F, open, stop, b1, false, b3, i) 1149.63/291.59 busy(S, d, stop, b1, b2, true, i) -> idle(S, open, stop, b1, b2, false, i) 1149.63/291.59 busy(B, closed, down, b1, b2, b3, i) -> idle(B, closed, stop, b1, b2, b3, i) 1149.63/291.59 busy(S, closed, up, b1, b2, b3, i) -> idle(S, closed, stop, b1, b2, b3, i) 1149.63/291.59 busy(B, closed, up, true, b2, b3, i) -> idle(B, closed, stop, true, b2, b3, i) 1149.63/291.59 busy(F, closed, up, b1, true, b3, i) -> idle(F, closed, stop, b1, true, b3, i) 1149.63/291.59 busy(F, closed, down, b1, true, b3, i) -> idle(F, closed, stop, b1, true, b3, i) 1149.63/291.59 busy(S, closed, down, b1, b2, true, i) -> idle(S, closed, stop, b1, b2, true, i) 1149.63/291.59 busy(B, closed, up, false, b2, b3, i) -> idle(BF, closed, up, false, b2, b3, i) 1149.63/291.59 busy(F, closed, up, b1, false, b3, i) -> idle(FS, closed, up, b1, false, b3, i) 1149.63/291.59 busy(F, closed, down, b1, false, b3, i) -> idle(BF, closed, down, b1, false, b3, i) 1149.63/291.59 busy(S, closed, down, b1, b2, false, i) -> idle(FS, closed, down, b1, b2, false, i) 1149.63/291.59 busy(BF, closed, up, b1, b2, b3, i) -> idle(F, closed, up, b1, b2, b3, i) 1149.63/291.59 busy(BF, closed, down, b1, b2, b3, i) -> idle(B, closed, down, b1, b2, b3, i) 1149.63/291.59 busy(FS, closed, up, b1, b2, b3, i) -> idle(S, closed, up, b1, b2, b3, i) 1149.63/291.59 busy(FS, closed, down, b1, b2, b3, i) -> idle(F, closed, down, b1, b2, b3, i) 1149.63/291.59 busy(B, closed, stop, false, true, b3, i) -> idle(B, closed, up, false, true, b3, i) 1149.63/291.59 busy(B, closed, stop, false, false, true, i) -> idle(B, closed, up, false, false, true, i) 1149.63/291.59 busy(F, closed, stop, true, false, b3, i) -> idle(F, closed, down, true, false, b3, i) 1149.63/291.59 busy(F, closed, stop, false, false, true, i) -> idle(F, closed, up, false, false, true, i) 1149.63/291.59 busy(S, closed, stop, b1, true, false, i) -> idle(S, closed, down, b1, true, false, i) 1149.63/291.59 busy(S, closed, stop, true, false, false, i) -> idle(S, closed, down, true, false, false, i) 1149.63/291.59 idle(fl, d, m, b1, b2, b3, empty) -> busy(fl, d, m, b1, b2, b3, empty) 1149.63/291.59 idle(fl, d, m, b1, b2, b3, newbuttons(i1, i2, i3, i)) -> busy(fl, d, m, or(b1, i1), or(b2, i2), or(b3, i3), i) 1149.63/291.59 or(true, b) -> true 1149.63/291.59 or(false, b) -> b 1149.63/291.59 1149.63/291.59 S is empty. 1149.63/291.59 Rewrite Strategy: INNERMOST 1149.88/291.65 EOF