Termination Proof using AProVE

Term Rewriting System R:
[i, d, b1, b2, b3, fl, i1, i2, i3, m, b]
start(i) -> busy(F, closed, stop, false, false, false, i)
busy(BF, d, stop, b1, b2, b3, i) -> incorrect
busy(FS, d, stop, b1, b2, b3, i) -> incorrect
busy(fl, open, up, b1, b2, b3, i) -> incorrect
busy(fl, open, down, b1, b2, b3, i) -> incorrect
busy(B, closed, stop, false, false, false, empty) -> correct
busy(F, closed, stop, false, false, false, empty) -> correct
busy(S, closed, stop, false, false, false, empty) -> correct
busy(B, closed, stop, false, false, false, newbuttons(i1, i2, i3, i)) -> idle(B, closed, stop, false, false, false, newbuttons(i1, i2, i3, i))
busy(F, closed, stop, false, false, false, newbuttons(i1, i2, i3, i)) -> idle(F, closed, stop, false, false, false, newbuttons(i1, i2, i3, i))
busy(S, closed, stop, false, false, false, newbuttons(i1, i2, i3, i)) -> idle(S, closed, stop, false, false, false, newbuttons(i1, i2, i3, i))
busy(B, open, stop, false, b2, b3, i) -> idle(B, closed, stop, false, b2, b3, i)
busy(F, open, stop, b1, false, b3, i) -> idle(F, closed, stop, b1, false, b3, i)
busy(S, open, stop, b1, b2, false, i) -> idle(S, closed, stop, b1, b2, false, i)
busy(B, d, stop, true, b2, b3, i) -> idle(B, open, stop, false, b2, b3, i)
busy(F, d, stop, b1, true, b3, i) -> idle(F, open, stop, b1, false, b3, i)
busy(S, d, stop, b1, b2, true, i) -> idle(S, open, stop, b1, b2, false, i)
busy(B, closed, down, b1, b2, b3, i) -> idle(B, closed, stop, b1, b2, b3, i)
busy(S, closed, up, b1, b2, b3, i) -> idle(S, closed, stop, b1, b2, b3, i)
busy(B, closed, up, true, b2, b3, i) -> idle(B, closed, stop, true, b2, b3, i)
busy(F, closed, up, b1, true, b3, i) -> idle(F, closed, stop, b1, true, b3, i)
busy(F, closed, down, b1, true, b3, i) -> idle(F, closed, stop, b1, true, b3, i)
busy(S, closed, down, b1, b2, true, i) -> idle(S, closed, stop, b1, b2, true, i)
busy(B, closed, up, false, b2, b3, i) -> idle(BF, closed, up, false, b2, b3, i)
busy(F, closed, up, b1, false, b3, i) -> idle(FS, closed, up, b1, false, b3, i)
busy(F, closed, down, b1, false, b3, i) -> idle(BF, closed, down, b1, false, b3, i)
busy(S, closed, down, b1, b2, false, i) -> idle(FS, closed, down, b1, b2, false, i)
busy(BF, closed, up, b1, b2, b3, i) -> idle(F, closed, up, b1, b2, b3, i)
busy(BF, closed, down, b1, b2, b3, i) -> idle(B, closed, down, b1, b2, b3, i)
busy(FS, closed, up, b1, b2, b3, i) -> idle(S, closed, up, b1, b2, b3, i)
busy(FS, closed, down, b1, b2, b3, i) -> idle(F, closed, down, b1, b2, b3, i)
busy(B, closed, stop, false, true, b3, i) -> idle(B, closed, up, false, true, b3, i)
busy(B, closed, stop, false, false, true, i) -> idle(B, closed, up, false, false, true, i)
busy(F, closed, stop, true, false, b3, i) -> idle(F, closed, down, true, false, b3, i)
busy(F, closed, stop, false, false, true, i) -> idle(F, closed, up, false, false, true, i)
busy(S, closed, stop, b1, true, false, i) -> idle(S, closed, down, b1, true, false, i)
busy(S, closed, stop, true, false, false, i) -> idle(S, closed, down, true, false, false, i)
idle(fl, d, m, b1, b2, b3, empty) -> busy(fl, d, m, b1, b2, b3, empty)
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)
or(true, b) -> true
or(false, b) -> b

Innermost Termination of R to be shown.

     ↳Dependency Pair Analysis

R contains the following Dependency Pairs:

START(i) -> BUSY(F, closed, stop, false, false, false, i)
BUSY(B, closed, stop, false, false, false, newbuttons(i1, i2, i3, i)) -> IDLE(B, closed, stop, false, false, false, newbuttons(i1, i2, i3, i))
BUSY(F, closed, stop, false, false, false, newbuttons(i1, i2, i3, i)) -> IDLE(F, closed, stop, false, false, false, newbuttons(i1, i2, i3, i))
BUSY(S, closed, stop, false, false, false, newbuttons(i1, i2, i3, i)) -> IDLE(S, closed, stop, false, false, false, newbuttons(i1, i2, i3, i))
BUSY(B, open, stop, false, b2, b3, i) -> IDLE(B, closed, stop, false, b2, b3, i)
BUSY(F, open, stop, b1, false, b3, i) -> IDLE(F, closed, stop, b1, false, b3, i)
BUSY(S, open, stop, b1, b2, false, i) -> IDLE(S, closed, stop, b1, b2, false, i)
BUSY(B, d, stop, true, b2, b3, i) -> IDLE(B, open, stop, false, b2, b3, i)
BUSY(F, d, stop, b1, true, b3, i) -> IDLE(F, open, stop, b1, false, b3, i)
BUSY(S, d, stop, b1, b2, true, i) -> IDLE(S, open, stop, b1, b2, false, i)
BUSY(B, closed, down, b1, b2, b3, i) -> IDLE(B, closed, stop, b1, b2, b3, i)
BUSY(S, closed, up, b1, b2, b3, i) -> IDLE(S, closed, stop, b1, b2, b3, i)
BUSY(B, closed, up, true, b2, b3, i) -> IDLE(B, closed, stop, true, b2, b3, i)
BUSY(F, closed, up, b1, true, b3, i) -> IDLE(F, closed, stop, b1, true, b3, i)
BUSY(F, closed, down, b1, true, b3, i) -> IDLE(F, closed, stop, b1, true, b3, i)
BUSY(S, closed, down, b1, b2, true, i) -> IDLE(S, closed, stop, b1, b2, true, i)
BUSY(B, closed, up, false, b2, b3, i) -> IDLE(BF, closed, up, false, b2, b3, i)
BUSY(F, closed, up, b1, false, b3, i) -> IDLE(FS, closed, up, b1, false, b3, i)
BUSY(F, closed, down, b1, false, b3, i) -> IDLE(BF, closed, down, b1, false, b3, i)
BUSY(S, closed, down, b1, b2, false, i) -> IDLE(FS, closed, down, b1, b2, false, i)
BUSY(BF, closed, up, b1, b2, b3, i) -> IDLE(F, closed, up, b1, b2, b3, i)
BUSY(BF, closed, down, b1, b2, b3, i) -> IDLE(B, closed, down, b1, b2, b3, i)
BUSY(FS, closed, up, b1, b2, b3, i) -> IDLE(S, closed, up, b1, b2, b3, i)
BUSY(FS, closed, down, b1, b2, b3, i) -> IDLE(F, closed, down, b1, b2, b3, i)
BUSY(B, closed, stop, false, true, b3, i) -> IDLE(B, closed, up, false, true, b3, i)
BUSY(B, closed, stop, false, false, true, i) -> IDLE(B, closed, up, false, false, true, i)
BUSY(F, closed, stop, true, false, b3, i) -> IDLE(F, closed, down, true, false, b3, i)
BUSY(F, closed, stop, false, false, true, i) -> IDLE(F, closed, up, false, false, true, i)
BUSY(S, closed, stop, b1, true, false, i) -> IDLE(S, closed, down, b1, true, false, i)
BUSY(S, closed, stop, true, false, false, i) -> IDLE(S, closed, down, true, false, false, i)
IDLE(fl, d, m, b1, b2, b3, empty) -> BUSY(fl, d, m, b1, b2, b3, empty)
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)
IDLE(fl, d, m, b1, b2, b3, newbuttons(i1, i2, i3, i)) -> OR(b1, i1)
IDLE(fl, d, m, b1, b2, b3, newbuttons(i1, i2, i3, i)) -> OR(b2, i2)
IDLE(fl, d, m, b1, b2, b3, newbuttons(i1, i2, i3, i)) -> OR(b3, i3)

Furthermore, R contains one SCC.

     ↳DPs

       →DP Problem 1

         ↳Argument Filtering and Ordering

Dependency Pairs:

BUSY(S, closed, stop, true, false, false, i) -> IDLE(S, closed, down, true, false, false, i)
BUSY(S, closed, stop, b1, true, false, i) -> IDLE(S, closed, down, b1, true, false, i)
BUSY(F, closed, stop, false, false, true, i) -> IDLE(F, closed, up, false, false, true, i)
BUSY(F, closed, stop, true, false, b3, i) -> IDLE(F, closed, down, true, false, b3, i)
BUSY(B, closed, stop, false, false, true, i) -> IDLE(B, closed, up, false, false, true, i)
BUSY(B, closed, stop, false, true, b3, i) -> IDLE(B, closed, up, false, true, b3, i)
BUSY(FS, closed, down, b1, b2, b3, i) -> IDLE(F, closed, down, b1, b2, b3, i)
BUSY(FS, closed, up, b1, b2, b3, i) -> IDLE(S, closed, up, b1, b2, b3, i)
BUSY(BF, closed, down, b1, b2, b3, i) -> IDLE(B, closed, down, b1, b2, b3, i)
BUSY(BF, closed, up, b1, b2, b3, i) -> IDLE(F, closed, up, b1, b2, b3, i)
BUSY(S, closed, down, b1, b2, false, i) -> IDLE(FS, closed, down, b1, b2, false, i)
BUSY(F, closed, down, b1, false, b3, i) -> IDLE(BF, closed, down, b1, false, b3, i)
BUSY(F, closed, up, b1, false, b3, i) -> IDLE(FS, closed, up, b1, false, b3, i)
BUSY(B, closed, up, false, b2, b3, i) -> IDLE(BF, closed, up, false, b2, b3, i)
BUSY(S, closed, down, b1, b2, true, i) -> IDLE(S, closed, stop, b1, b2, true, i)
BUSY(F, closed, down, b1, true, b3, i) -> IDLE(F, closed, stop, b1, true, b3, i)
BUSY(F, closed, up, b1, true, b3, i) -> IDLE(F, closed, stop, b1, true, b3, i)
BUSY(B, closed, up, true, b2, b3, i) -> IDLE(B, closed, stop, true, b2, b3, i)
BUSY(S, closed, up, b1, b2, b3, i) -> IDLE(S, closed, stop, b1, b2, b3, i)
BUSY(B, closed, down, b1, b2, b3, i) -> IDLE(B, closed, stop, b1, b2, b3, i)
BUSY(S, d, stop, b1, b2, true, i) -> IDLE(S, open, stop, b1, b2, false, i)
BUSY(F, d, stop, b1, true, b3, i) -> IDLE(F, open, stop, b1, false, b3, i)
BUSY(B, d, stop, true, b2, b3, i) -> IDLE(B, open, stop, false, b2, b3, i)
BUSY(S, open, stop, b1, b2, false, i) -> IDLE(S, closed, stop, b1, b2, false, i)
BUSY(F, open, stop, b1, false, b3, i) -> IDLE(F, closed, stop, b1, false, b3, i)
IDLE(fl, d, m, b1, b2, b3, empty) -> BUSY(fl, d, m, b1, b2, b3, empty)
BUSY(B, open, stop, false, b2, b3, i) -> IDLE(B, closed, stop, false, b2, b3, i)
BUSY(S, closed, stop, false, false, false, newbuttons(i1, i2, i3, i)) -> IDLE(S, closed, stop, false, false, false, newbuttons(i1, i2, i3, i))
BUSY(B, closed, stop, false, false, false, newbuttons(i1, i2, i3, i)) -> IDLE(B, closed, stop, false, false, false, newbuttons(i1, i2, i3, i))
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)
BUSY(F, closed, stop, false, false, false, newbuttons(i1, i2, i3, i)) -> IDLE(F, closed, stop, false, false, false, newbuttons(i1, i2, i3, i))

Rules:

start(i) -> busy(F, closed, stop, false, false, false, i)
busy(BF, d, stop, b1, b2, b3, i) -> incorrect
busy(FS, d, stop, b1, b2, b3, i) -> incorrect
busy(fl, open, up, b1, b2, b3, i) -> incorrect
busy(fl, open, down, b1, b2, b3, i) -> incorrect
busy(B, closed, stop, false, false, false, empty) -> correct
busy(F, closed, stop, false, false, false, empty) -> correct
busy(S, closed, stop, false, false, false, empty) -> correct
busy(B, closed, stop, false, false, false, newbuttons(i1, i2, i3, i)) -> idle(B, closed, stop, false, false, false, newbuttons(i1, i2, i3, i))
busy(F, closed, stop, false, false, false, newbuttons(i1, i2, i3, i)) -> idle(F, closed, stop, false, false, false, newbuttons(i1, i2, i3, i))
busy(S, closed, stop, false, false, false, newbuttons(i1, i2, i3, i)) -> idle(S, closed, stop, false, false, false, newbuttons(i1, i2, i3, i))
busy(B, open, stop, false, b2, b3, i) -> idle(B, closed, stop, false, b2, b3, i)
busy(F, open, stop, b1, false, b3, i) -> idle(F, closed, stop, b1, false, b3, i)
busy(S, open, stop, b1, b2, false, i) -> idle(S, closed, stop, b1, b2, false, i)
busy(B, d, stop, true, b2, b3, i) -> idle(B, open, stop, false, b2, b3, i)
busy(F, d, stop, b1, true, b3, i) -> idle(F, open, stop, b1, false, b3, i)
busy(S, d, stop, b1, b2, true, i) -> idle(S, open, stop, b1, b2, false, i)
busy(B, closed, down, b1, b2, b3, i) -> idle(B, closed, stop, b1, b2, b3, i)
busy(S, closed, up, b1, b2, b3, i) -> idle(S, closed, stop, b1, b2, b3, i)
busy(B, closed, up, true, b2, b3, i) -> idle(B, closed, stop, true, b2, b3, i)
busy(F, closed, up, b1, true, b3, i) -> idle(F, closed, stop, b1, true, b3, i)
busy(F, closed, down, b1, true, b3, i) -> idle(F, closed, stop, b1, true, b3, i)
busy(S, closed, down, b1, b2, true, i) -> idle(S, closed, stop, b1, b2, true, i)
busy(B, closed, up, false, b2, b3, i) -> idle(BF, closed, up, false, b2, b3, i)
busy(F, closed, up, b1, false, b3, i) -> idle(FS, closed, up, b1, false, b3, i)
busy(F, closed, down, b1, false, b3, i) -> idle(BF, closed, down, b1, false, b3, i)
busy(S, closed, down, b1, b2, false, i) -> idle(FS, closed, down, b1, b2, false, i)
busy(BF, closed, up, b1, b2, b3, i) -> idle(F, closed, up, b1, b2, b3, i)
busy(BF, closed, down, b1, b2, b3, i) -> idle(B, closed, down, b1, b2, b3, i)
busy(FS, closed, up, b1, b2, b3, i) -> idle(S, closed, up, b1, b2, b3, i)
busy(FS, closed, down, b1, b2, b3, i) -> idle(F, closed, down, b1, b2, b3, i)
busy(B, closed, stop, false, true, b3, i) -> idle(B, closed, up, false, true, b3, i)
busy(B, closed, stop, false, false, true, i) -> idle(B, closed, up, false, false, true, i)
busy(F, closed, stop, true, false, b3, i) -> idle(F, closed, down, true, false, b3, i)
busy(F, closed, stop, false, false, true, i) -> idle(F, closed, up, false, false, true, i)
busy(S, closed, stop, b1, true, false, i) -> idle(S, closed, down, b1, true, false, i)
busy(S, closed, stop, true, false, false, i) -> idle(S, closed, down, true, false, false, i)
idle(fl, d, m, b1, b2, b3, empty) -> busy(fl, d, m, b1, b2, b3, empty)
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)
or(true, b) -> true
or(false, b) -> b

Strategy:

innermost

The following dependency pair can be strictly oriented:

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)

The following usable rules for innermost can be oriented:

or(true, b) -> true
or(false, b) -> b

Used ordering: Homeomorphic Embedding Order with EMB
resulting in one new DP problem.
Used Argument Filtering System:

BUSY(x₁, x₂, x₃, x₄, x₅, x₆, x₇) -> x₇
IDLE(x₁, x₂, x₃, x₄, x₅, x₆, x₇) -> x₇
newbuttons(x₁, x₂, x₃, x₄) -> newbuttons(x₁, x₂, x₃, x₄)
or(x₁, x₂) -> or(x₁, x₂)

     ↳DPs

       →DP Problem 1

         ↳AFS

           →DP Problem 2

             ↳Dependency Graph

Dependency Pairs:

BUSY(S, closed, stop, true, false, false, i) -> IDLE(S, closed, down, true, false, false, i)
BUSY(S, closed, stop, b1, true, false, i) -> IDLE(S, closed, down, b1, true, false, i)
BUSY(F, closed, stop, false, false, true, i) -> IDLE(F, closed, up, false, false, true, i)
BUSY(F, closed, stop, true, false, b3, i) -> IDLE(F, closed, down, true, false, b3, i)
BUSY(B, closed, stop, false, false, true, i) -> IDLE(B, closed, up, false, false, true, i)
BUSY(B, closed, stop, false, true, b3, i) -> IDLE(B, closed, up, false, true, b3, i)
BUSY(FS, closed, down, b1, b2, b3, i) -> IDLE(F, closed, down, b1, b2, b3, i)
BUSY(FS, closed, up, b1, b2, b3, i) -> IDLE(S, closed, up, b1, b2, b3, i)
BUSY(BF, closed, down, b1, b2, b3, i) -> IDLE(B, closed, down, b1, b2, b3, i)
BUSY(BF, closed, up, b1, b2, b3, i) -> IDLE(F, closed, up, b1, b2, b3, i)
BUSY(S, closed, down, b1, b2, false, i) -> IDLE(FS, closed, down, b1, b2, false, i)
BUSY(F, closed, down, b1, false, b3, i) -> IDLE(BF, closed, down, b1, false, b3, i)
BUSY(F, closed, up, b1, false, b3, i) -> IDLE(FS, closed, up, b1, false, b3, i)
BUSY(B, closed, up, false, b2, b3, i) -> IDLE(BF, closed, up, false, b2, b3, i)
BUSY(S, closed, down, b1, b2, true, i) -> IDLE(S, closed, stop, b1, b2, true, i)
BUSY(F, closed, down, b1, true, b3, i) -> IDLE(F, closed, stop, b1, true, b3, i)
BUSY(F, closed, up, b1, true, b3, i) -> IDLE(F, closed, stop, b1, true, b3, i)
BUSY(B, closed, up, true, b2, b3, i) -> IDLE(B, closed, stop, true, b2, b3, i)
BUSY(S, closed, up, b1, b2, b3, i) -> IDLE(S, closed, stop, b1, b2, b3, i)
BUSY(B, closed, down, b1, b2, b3, i) -> IDLE(B, closed, stop, b1, b2, b3, i)
BUSY(S, d, stop, b1, b2, true, i) -> IDLE(S, open, stop, b1, b2, false, i)
BUSY(F, d, stop, b1, true, b3, i) -> IDLE(F, open, stop, b1, false, b3, i)
BUSY(B, d, stop, true, b2, b3, i) -> IDLE(B, open, stop, false, b2, b3, i)
BUSY(S, open, stop, b1, b2, false, i) -> IDLE(S, closed, stop, b1, b2, false, i)
BUSY(F, open, stop, b1, false, b3, i) -> IDLE(F, closed, stop, b1, false, b3, i)
IDLE(fl, d, m, b1, b2, b3, empty) -> BUSY(fl, d, m, b1, b2, b3, empty)
BUSY(B, open, stop, false, b2, b3, i) -> IDLE(B, closed, stop, false, b2, b3, i)
BUSY(S, closed, stop, false, false, false, newbuttons(i1, i2, i3, i)) -> IDLE(S, closed, stop, false, false, false, newbuttons(i1, i2, i3, i))
BUSY(B, closed, stop, false, false, false, newbuttons(i1, i2, i3, i)) -> IDLE(B, closed, stop, false, false, false, newbuttons(i1, i2, i3, i))
BUSY(F, closed, stop, false, false, false, newbuttons(i1, i2, i3, i)) -> IDLE(F, closed, stop, false, false, false, newbuttons(i1, i2, i3, i))

Rules:

start(i) -> busy(F, closed, stop, false, false, false, i)
busy(BF, d, stop, b1, b2, b3, i) -> incorrect
busy(FS, d, stop, b1, b2, b3, i) -> incorrect
busy(fl, open, up, b1, b2, b3, i) -> incorrect
busy(fl, open, down, b1, b2, b3, i) -> incorrect
busy(B, closed, stop, false, false, false, empty) -> correct
busy(F, closed, stop, false, false, false, empty) -> correct
busy(S, closed, stop, false, false, false, empty) -> correct
busy(B, closed, stop, false, false, false, newbuttons(i1, i2, i3, i)) -> idle(B, closed, stop, false, false, false, newbuttons(i1, i2, i3, i))
busy(F, closed, stop, false, false, false, newbuttons(i1, i2, i3, i)) -> idle(F, closed, stop, false, false, false, newbuttons(i1, i2, i3, i))
busy(S, closed, stop, false, false, false, newbuttons(i1, i2, i3, i)) -> idle(S, closed, stop, false, false, false, newbuttons(i1, i2, i3, i))
busy(B, open, stop, false, b2, b3, i) -> idle(B, closed, stop, false, b2, b3, i)
busy(F, open, stop, b1, false, b3, i) -> idle(F, closed, stop, b1, false, b3, i)
busy(S, open, stop, b1, b2, false, i) -> idle(S, closed, stop, b1, b2, false, i)
busy(B, d, stop, true, b2, b3, i) -> idle(B, open, stop, false, b2, b3, i)
busy(F, d, stop, b1, true, b3, i) -> idle(F, open, stop, b1, false, b3, i)
busy(S, d, stop, b1, b2, true, i) -> idle(S, open, stop, b1, b2, false, i)
busy(B, closed, down, b1, b2, b3, i) -> idle(B, closed, stop, b1, b2, b3, i)
busy(S, closed, up, b1, b2, b3, i) -> idle(S, closed, stop, b1, b2, b3, i)
busy(B, closed, up, true, b2, b3, i) -> idle(B, closed, stop, true, b2, b3, i)
busy(F, closed, up, b1, true, b3, i) -> idle(F, closed, stop, b1, true, b3, i)
busy(F, closed, down, b1, true, b3, i) -> idle(F, closed, stop, b1, true, b3, i)
busy(S, closed, down, b1, b2, true, i) -> idle(S, closed, stop, b1, b2, true, i)
busy(B, closed, up, false, b2, b3, i) -> idle(BF, closed, up, false, b2, b3, i)
busy(F, closed, up, b1, false, b3, i) -> idle(FS, closed, up, b1, false, b3, i)
busy(F, closed, down, b1, false, b3, i) -> idle(BF, closed, down, b1, false, b3, i)
busy(S, closed, down, b1, b2, false, i) -> idle(FS, closed, down, b1, b2, false, i)
busy(BF, closed, up, b1, b2, b3, i) -> idle(F, closed, up, b1, b2, b3, i)
busy(BF, closed, down, b1, b2, b3, i) -> idle(B, closed, down, b1, b2, b3, i)
busy(FS, closed, up, b1, b2, b3, i) -> idle(S, closed, up, b1, b2, b3, i)
busy(FS, closed, down, b1, b2, b3, i) -> idle(F, closed, down, b1, b2, b3, i)
busy(B, closed, stop, false, true, b3, i) -> idle(B, closed, up, false, true, b3, i)
busy(B, closed, stop, false, false, true, i) -> idle(B, closed, up, false, false, true, i)
busy(F, closed, stop, true, false, b3, i) -> idle(F, closed, down, true, false, b3, i)
busy(F, closed, stop, false, false, true, i) -> idle(F, closed, up, false, false, true, i)
busy(S, closed, stop, b1, true, false, i) -> idle(S, closed, down, b1, true, false, i)
busy(S, closed, stop, true, false, false, i) -> idle(S, closed, down, true, false, false, i)
idle(fl, d, m, b1, b2, b3, empty) -> busy(fl, d, m, b1, b2, b3, empty)
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)
or(true, b) -> true
or(false, b) -> b

Strategy:

innermost

Using the Dependency Graph the DP problem was split into 1 DP problems.

     ↳DPs

       →DP Problem 1

         ↳AFS

           →DP Problem 2

             ↳DGraph

...

               →DP Problem 3

                 ↳Instantiation Transformation

Dependency Pairs:

BUSY(S, closed, stop, b1, true, false, i) -> IDLE(S, closed, down, b1, true, false, i)
BUSY(F, closed, stop, false, false, true, i) -> IDLE(F, closed, up, false, false, true, i)
BUSY(F, closed, stop, true, false, b3, i) -> IDLE(F, closed, down, true, false, b3, i)
BUSY(B, closed, stop, false, false, true, i) -> IDLE(B, closed, up, false, false, true, i)
BUSY(B, closed, stop, false, true, b3, i) -> IDLE(B, closed, up, false, true, b3, i)
BUSY(FS, closed, down, b1, b2, b3, i) -> IDLE(F, closed, down, b1, b2, b3, i)
BUSY(FS, closed, up, b1, b2, b3, i) -> IDLE(S, closed, up, b1, b2, b3, i)
BUSY(BF, closed, down, b1, b2, b3, i) -> IDLE(B, closed, down, b1, b2, b3, i)
BUSY(BF, closed, up, b1, b2, b3, i) -> IDLE(F, closed, up, b1, b2, b3, i)
BUSY(S, closed, down, b1, b2, false, i) -> IDLE(FS, closed, down, b1, b2, false, i)
BUSY(F, closed, down, b1, false, b3, i) -> IDLE(BF, closed, down, b1, false, b3, i)
BUSY(F, closed, up, b1, false, b3, i) -> IDLE(FS, closed, up, b1, false, b3, i)
BUSY(B, closed, up, false, b2, b3, i) -> IDLE(BF, closed, up, false, b2, b3, i)
BUSY(S, closed, down, b1, b2, true, i) -> IDLE(S, closed, stop, b1, b2, true, i)
BUSY(F, closed, down, b1, true, b3, i) -> IDLE(F, closed, stop, b1, true, b3, i)
BUSY(F, closed, up, b1, true, b3, i) -> IDLE(F, closed, stop, b1, true, b3, i)
BUSY(B, closed, up, true, b2, b3, i) -> IDLE(B, closed, stop, true, b2, b3, i)
BUSY(S, closed, up, b1, b2, b3, i) -> IDLE(S, closed, stop, b1, b2, b3, i)
BUSY(B, closed, down, b1, b2, b3, i) -> IDLE(B, closed, stop, b1, b2, b3, i)
BUSY(S, d, stop, b1, b2, true, i) -> IDLE(S, open, stop, b1, b2, false, i)
BUSY(F, d, stop, b1, true, b3, i) -> IDLE(F, open, stop, b1, false, b3, i)
BUSY(B, d, stop, true, b2, b3, i) -> IDLE(B, open, stop, false, b2, b3, i)
BUSY(S, open, stop, b1, b2, false, i) -> IDLE(S, closed, stop, b1, b2, false, i)
BUSY(F, open, stop, b1, false, b3, i) -> IDLE(F, closed, stop, b1, false, b3, i)
BUSY(B, open, stop, false, b2, b3, i) -> IDLE(B, closed, stop, false, b2, b3, i)
IDLE(fl, d, m, b1, b2, b3, empty) -> BUSY(fl, d, m, b1, b2, b3, empty)
BUSY(S, closed, stop, true, false, false, i) -> IDLE(S, closed, down, true, false, false, i)

Rules:

start(i) -> busy(F, closed, stop, false, false, false, i)
busy(BF, d, stop, b1, b2, b3, i) -> incorrect
busy(FS, d, stop, b1, b2, b3, i) -> incorrect
busy(fl, open, up, b1, b2, b3, i) -> incorrect
busy(fl, open, down, b1, b2, b3, i) -> incorrect
busy(B, closed, stop, false, false, false, empty) -> correct
busy(F, closed, stop, false, false, false, empty) -> correct
busy(S, closed, stop, false, false, false, empty) -> correct
busy(B, closed, stop, false, false, false, newbuttons(i1, i2, i3, i)) -> idle(B, closed, stop, false, false, false, newbuttons(i1, i2, i3, i))
busy(F, closed, stop, false, false, false, newbuttons(i1, i2, i3, i)) -> idle(F, closed, stop, false, false, false, newbuttons(i1, i2, i3, i))
busy(S, closed, stop, false, false, false, newbuttons(i1, i2, i3, i)) -> idle(S, closed, stop, false, false, false, newbuttons(i1, i2, i3, i))
busy(B, open, stop, false, b2, b3, i) -> idle(B, closed, stop, false, b2, b3, i)
busy(F, open, stop, b1, false, b3, i) -> idle(F, closed, stop, b1, false, b3, i)
busy(S, open, stop, b1, b2, false, i) -> idle(S, closed, stop, b1, b2, false, i)
busy(B, d, stop, true, b2, b3, i) -> idle(B, open, stop, false, b2, b3, i)
busy(F, d, stop, b1, true, b3, i) -> idle(F, open, stop, b1, false, b3, i)
busy(S, d, stop, b1, b2, true, i) -> idle(S, open, stop, b1, b2, false, i)
busy(B, closed, down, b1, b2, b3, i) -> idle(B, closed, stop, b1, b2, b3, i)
busy(S, closed, up, b1, b2, b3, i) -> idle(S, closed, stop, b1, b2, b3, i)
busy(B, closed, up, true, b2, b3, i) -> idle(B, closed, stop, true, b2, b3, i)
busy(F, closed, up, b1, true, b3, i) -> idle(F, closed, stop, b1, true, b3, i)
busy(F, closed, down, b1, true, b3, i) -> idle(F, closed, stop, b1, true, b3, i)
busy(S, closed, down, b1, b2, true, i) -> idle(S, closed, stop, b1, b2, true, i)
busy(B, closed, up, false, b2, b3, i) -> idle(BF, closed, up, false, b2, b3, i)
busy(F, closed, up, b1, false, b3, i) -> idle(FS, closed, up, b1, false, b3, i)
busy(F, closed, down, b1, false, b3, i) -> idle(BF, closed, down, b1, false, b3, i)
busy(S, closed, down, b1, b2, false, i) -> idle(FS, closed, down, b1, b2, false, i)
busy(BF, closed, up, b1, b2, b3, i) -> idle(F, closed, up, b1, b2, b3, i)
busy(BF, closed, down, b1, b2, b3, i) -> idle(B, closed, down, b1, b2, b3, i)
busy(FS, closed, up, b1, b2, b3, i) -> idle(S, closed, up, b1, b2, b3, i)
busy(FS, closed, down, b1, b2, b3, i) -> idle(F, closed, down, b1, b2, b3, i)
busy(B, closed, stop, false, true, b3, i) -> idle(B, closed, up, false, true, b3, i)
busy(B, closed, stop, false, false, true, i) -> idle(B, closed, up, false, false, true, i)
busy(F, closed, stop, true, false, b3, i) -> idle(F, closed, down, true, false, b3, i)
busy(F, closed, stop, false, false, true, i) -> idle(F, closed, up, false, false, true, i)
busy(S, closed, stop, b1, true, false, i) -> idle(S, closed, down, b1, true, false, i)
busy(S, closed, stop, true, false, false, i) -> idle(S, closed, down, true, false, false, i)
idle(fl, d, m, b1, b2, b3, empty) -> busy(fl, d, m, b1, b2, b3, empty)
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)
or(true, b) -> true
or(false, b) -> b

Strategy:

innermost

On this DP problem, an Instantiation SCC transformation can be performed.
As a result of transforming the rule

BUSY(B, open, stop, false, b2, b3, i) -> IDLE(B, closed, stop, false, b2, b3, i)

one new Dependency Pair is created:

BUSY(B, open, stop, false, b2'', b3'', empty) -> IDLE(B, closed, stop, false, b2'', b3'', empty)

The transformation is resulting in one new DP problem:

     ↳DPs

       →DP Problem 1

         ↳AFS

           →DP Problem 2

             ↳DGraph

...

               →DP Problem 4

                 ↳Instantiation Transformation

Dependency Pairs:

BUSY(B, open, stop, false, b2'', b3'', empty) -> IDLE(B, closed, stop, false, b2'', b3'', empty)
BUSY(S, closed, stop, true, false, false, i) -> IDLE(S, closed, down, true, false, false, i)
BUSY(F, closed, stop, false, false, true, i) -> IDLE(F, closed, up, false, false, true, i)
BUSY(F, closed, stop, true, false, b3, i) -> IDLE(F, closed, down, true, false, b3, i)
BUSY(B, closed, stop, false, false, true, i) -> IDLE(B, closed, up, false, false, true, i)
BUSY(B, closed, stop, false, true, b3, i) -> IDLE(B, closed, up, false, true, b3, i)
BUSY(FS, closed, down, b1, b2, b3, i) -> IDLE(F, closed, down, b1, b2, b3, i)
BUSY(FS, closed, up, b1, b2, b3, i) -> IDLE(S, closed, up, b1, b2, b3, i)
BUSY(BF, closed, down, b1, b2, b3, i) -> IDLE(B, closed, down, b1, b2, b3, i)
BUSY(BF, closed, up, b1, b2, b3, i) -> IDLE(F, closed, up, b1, b2, b3, i)
BUSY(S, closed, down, b1, b2, false, i) -> IDLE(FS, closed, down, b1, b2, false, i)
BUSY(F, closed, down, b1, false, b3, i) -> IDLE(BF, closed, down, b1, false, b3, i)
BUSY(F, closed, up, b1, false, b3, i) -> IDLE(FS, closed, up, b1, false, b3, i)
BUSY(B, closed, up, false, b2, b3, i) -> IDLE(BF, closed, up, false, b2, b3, i)
BUSY(S, closed, down, b1, b2, true, i) -> IDLE(S, closed, stop, b1, b2, true, i)
BUSY(F, closed, down, b1, true, b3, i) -> IDLE(F, closed, stop, b1, true, b3, i)
BUSY(F, closed, up, b1, true, b3, i) -> IDLE(F, closed, stop, b1, true, b3, i)
BUSY(B, closed, up, true, b2, b3, i) -> IDLE(B, closed, stop, true, b2, b3, i)
BUSY(S, closed, up, b1, b2, b3, i) -> IDLE(S, closed, stop, b1, b2, b3, i)
BUSY(B, closed, down, b1, b2, b3, i) -> IDLE(B, closed, stop, b1, b2, b3, i)
BUSY(S, d, stop, b1, b2, true, i) -> IDLE(S, open, stop, b1, b2, false, i)
BUSY(F, d, stop, b1, true, b3, i) -> IDLE(F, open, stop, b1, false, b3, i)
BUSY(B, d, stop, true, b2, b3, i) -> IDLE(B, open, stop, false, b2, b3, i)
BUSY(S, open, stop, b1, b2, false, i) -> IDLE(S, closed, stop, b1, b2, false, i)
BUSY(F, open, stop, b1, false, b3, i) -> IDLE(F, closed, stop, b1, false, b3, i)
IDLE(fl, d, m, b1, b2, b3, empty) -> BUSY(fl, d, m, b1, b2, b3, empty)
BUSY(S, closed, stop, b1, true, false, i) -> IDLE(S, closed, down, b1, true, false, i)

Rules:

start(i) -> busy(F, closed, stop, false, false, false, i)
busy(BF, d, stop, b1, b2, b3, i) -> incorrect
busy(FS, d, stop, b1, b2, b3, i) -> incorrect
busy(fl, open, up, b1, b2, b3, i) -> incorrect
busy(fl, open, down, b1, b2, b3, i) -> incorrect
busy(B, closed, stop, false, false, false, empty) -> correct
busy(F, closed, stop, false, false, false, empty) -> correct
busy(S, closed, stop, false, false, false, empty) -> correct
busy(B, closed, stop, false, false, false, newbuttons(i1, i2, i3, i)) -> idle(B, closed, stop, false, false, false, newbuttons(i1, i2, i3, i))
busy(F, closed, stop, false, false, false, newbuttons(i1, i2, i3, i)) -> idle(F, closed, stop, false, false, false, newbuttons(i1, i2, i3, i))
busy(S, closed, stop, false, false, false, newbuttons(i1, i2, i3, i)) -> idle(S, closed, stop, false, false, false, newbuttons(i1, i2, i3, i))
busy(B, open, stop, false, b2, b3, i) -> idle(B, closed, stop, false, b2, b3, i)
busy(F, open, stop, b1, false, b3, i) -> idle(F, closed, stop, b1, false, b3, i)
busy(S, open, stop, b1, b2, false, i) -> idle(S, closed, stop, b1, b2, false, i)
busy(B, d, stop, true, b2, b3, i) -> idle(B, open, stop, false, b2, b3, i)
busy(F, d, stop, b1, true, b3, i) -> idle(F, open, stop, b1, false, b3, i)
busy(S, d, stop, b1, b2, true, i) -> idle(S, open, stop, b1, b2, false, i)
busy(B, closed, down, b1, b2, b3, i) -> idle(B, closed, stop, b1, b2, b3, i)
busy(S, closed, up, b1, b2, b3, i) -> idle(S, closed, stop, b1, b2, b3, i)
busy(B, closed, up, true, b2, b3, i) -> idle(B, closed, stop, true, b2, b3, i)
busy(F, closed, up, b1, true, b3, i) -> idle(F, closed, stop, b1, true, b3, i)
busy(F, closed, down, b1, true, b3, i) -> idle(F, closed, stop, b1, true, b3, i)
busy(S, closed, down, b1, b2, true, i) -> idle(S, closed, stop, b1, b2, true, i)
busy(B, closed, up, false, b2, b3, i) -> idle(BF, closed, up, false, b2, b3, i)
busy(F, closed, up, b1, false, b3, i) -> idle(FS, closed, up, b1, false, b3, i)
busy(F, closed, down, b1, false, b3, i) -> idle(BF, closed, down, b1, false, b3, i)
busy(S, closed, down, b1, b2, false, i) -> idle(FS, closed, down, b1, b2, false, i)
busy(BF, closed, up, b1, b2, b3, i) -> idle(F, closed, up, b1, b2, b3, i)
busy(BF, closed, down, b1, b2, b3, i) -> idle(B, closed, down, b1, b2, b3, i)
busy(FS, closed, up, b1, b2, b3, i) -> idle(S, closed, up, b1, b2, b3, i)
busy(FS, closed, down, b1, b2, b3, i) -> idle(F, closed, down, b1, b2, b3, i)
busy(B, closed, stop, false, true, b3, i) -> idle(B, closed, up, false, true, b3, i)
busy(B, closed, stop, false, false, true, i) -> idle(B, closed, up, false, false, true, i)
busy(F, closed, stop, true, false, b3, i) -> idle(F, closed, down, true, false, b3, i)
busy(F, closed, stop, false, false, true, i) -> idle(F, closed, up, false, false, true, i)
busy(S, closed, stop, b1, true, false, i) -> idle(S, closed, down, b1, true, false, i)
busy(S, closed, stop, true, false, false, i) -> idle(S, closed, down, true, false, false, i)
idle(fl, d, m, b1, b2, b3, empty) -> busy(fl, d, m, b1, b2, b3, empty)
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)
or(true, b) -> true
or(false, b) -> b

Strategy:

innermost

On this DP problem, an Instantiation SCC transformation can be performed.
As a result of transforming the rule

BUSY(F, open, stop, b1, false, b3, i) -> IDLE(F, closed, stop, b1, false, b3, i)

one new Dependency Pair is created:

BUSY(F, open, stop, b1'', false, b3'', empty) -> IDLE(F, closed, stop, b1'', false, b3'', empty)

The transformation is resulting in one new DP problem:

     ↳DPs

       →DP Problem 1

         ↳AFS

           →DP Problem 2

             ↳DGraph

...

               →DP Problem 5

                 ↳Instantiation Transformation

Dependency Pairs:

BUSY(F, open, stop, b1'', false, b3'', empty) -> IDLE(F, closed, stop, b1'', false, b3'', empty)
BUSY(S, closed, stop, true, false, false, i) -> IDLE(S, closed, down, true, false, false, i)
BUSY(S, closed, stop, b1, true, false, i) -> IDLE(S, closed, down, b1, true, false, i)
BUSY(F, closed, stop, false, false, true, i) -> IDLE(F, closed, up, false, false, true, i)
BUSY(F, closed, stop, true, false, b3, i) -> IDLE(F, closed, down, true, false, b3, i)
BUSY(B, closed, stop, false, false, true, i) -> IDLE(B, closed, up, false, false, true, i)
BUSY(B, closed, stop, false, true, b3, i) -> IDLE(B, closed, up, false, true, b3, i)
BUSY(FS, closed, down, b1, b2, b3, i) -> IDLE(F, closed, down, b1, b2, b3, i)
BUSY(FS, closed, up, b1, b2, b3, i) -> IDLE(S, closed, up, b1, b2, b3, i)
BUSY(BF, closed, down, b1, b2, b3, i) -> IDLE(B, closed, down, b1, b2, b3, i)
BUSY(BF, closed, up, b1, b2, b3, i) -> IDLE(F, closed, up, b1, b2, b3, i)
BUSY(S, closed, down, b1, b2, false, i) -> IDLE(FS, closed, down, b1, b2, false, i)
BUSY(F, closed, down, b1, false, b3, i) -> IDLE(BF, closed, down, b1, false, b3, i)
BUSY(F, closed, up, b1, false, b3, i) -> IDLE(FS, closed, up, b1, false, b3, i)
BUSY(B, closed, up, false, b2, b3, i) -> IDLE(BF, closed, up, false, b2, b3, i)
BUSY(S, closed, down, b1, b2, true, i) -> IDLE(S, closed, stop, b1, b2, true, i)
BUSY(F, closed, down, b1, true, b3, i) -> IDLE(F, closed, stop, b1, true, b3, i)
BUSY(F, closed, up, b1, true, b3, i) -> IDLE(F, closed, stop, b1, true, b3, i)
BUSY(B, closed, up, true, b2, b3, i) -> IDLE(B, closed, stop, true, b2, b3, i)
BUSY(S, closed, up, b1, b2, b3, i) -> IDLE(S, closed, stop, b1, b2, b3, i)
BUSY(B, closed, down, b1, b2, b3, i) -> IDLE(B, closed, stop, b1, b2, b3, i)
BUSY(S, d, stop, b1, b2, true, i) -> IDLE(S, open, stop, b1, b2, false, i)
BUSY(F, d, stop, b1, true, b3, i) -> IDLE(F, open, stop, b1, false, b3, i)
BUSY(B, d, stop, true, b2, b3, i) -> IDLE(B, open, stop, false, b2, b3, i)
BUSY(S, open, stop, b1, b2, false, i) -> IDLE(S, closed, stop, b1, b2, false, i)
IDLE(fl, d, m, b1, b2, b3, empty) -> BUSY(fl, d, m, b1, b2, b3, empty)
BUSY(B, open, stop, false, b2'', b3'', empty) -> IDLE(B, closed, stop, false, b2'', b3'', empty)

Rules:

start(i) -> busy(F, closed, stop, false, false, false, i)
busy(BF, d, stop, b1, b2, b3, i) -> incorrect
busy(FS, d, stop, b1, b2, b3, i) -> incorrect
busy(fl, open, up, b1, b2, b3, i) -> incorrect
busy(fl, open, down, b1, b2, b3, i) -> incorrect
busy(B, closed, stop, false, false, false, empty) -> correct
busy(F, closed, stop, false, false, false, empty) -> correct
busy(S, closed, stop, false, false, false, empty) -> correct
busy(B, closed, stop, false, false, false, newbuttons(i1, i2, i3, i)) -> idle(B, closed, stop, false, false, false, newbuttons(i1, i2, i3, i))
busy(F, closed, stop, false, false, false, newbuttons(i1, i2, i3, i)) -> idle(F, closed, stop, false, false, false, newbuttons(i1, i2, i3, i))
busy(S, closed, stop, false, false, false, newbuttons(i1, i2, i3, i)) -> idle(S, closed, stop, false, false, false, newbuttons(i1, i2, i3, i))
busy(B, open, stop, false, b2, b3, i) -> idle(B, closed, stop, false, b2, b3, i)
busy(F, open, stop, b1, false, b3, i) -> idle(F, closed, stop, b1, false, b3, i)
busy(S, open, stop, b1, b2, false, i) -> idle(S, closed, stop, b1, b2, false, i)
busy(B, d, stop, true, b2, b3, i) -> idle(B, open, stop, false, b2, b3, i)
busy(F, d, stop, b1, true, b3, i) -> idle(F, open, stop, b1, false, b3, i)
busy(S, d, stop, b1, b2, true, i) -> idle(S, open, stop, b1, b2, false, i)
busy(B, closed, down, b1, b2, b3, i) -> idle(B, closed, stop, b1, b2, b3, i)
busy(S, closed, up, b1, b2, b3, i) -> idle(S, closed, stop, b1, b2, b3, i)
busy(B, closed, up, true, b2, b3, i) -> idle(B, closed, stop, true, b2, b3, i)
busy(F, closed, up, b1, true, b3, i) -> idle(F, closed, stop, b1, true, b3, i)
busy(F, closed, down, b1, true, b3, i) -> idle(F, closed, stop, b1, true, b3, i)
busy(S, closed, down, b1, b2, true, i) -> idle(S, closed, stop, b1, b2, true, i)
busy(B, closed, up, false, b2, b3, i) -> idle(BF, closed, up, false, b2, b3, i)
busy(F, closed, up, b1, false, b3, i) -> idle(FS, closed, up, b1, false, b3, i)
busy(F, closed, down, b1, false, b3, i) -> idle(BF, closed, down, b1, false, b3, i)
busy(S, closed, down, b1, b2, false, i) -> idle(FS, closed, down, b1, b2, false, i)
busy(BF, closed, up, b1, b2, b3, i) -> idle(F, closed, up, b1, b2, b3, i)
busy(BF, closed, down, b1, b2, b3, i) -> idle(B, closed, down, b1, b2, b3, i)
busy(FS, closed, up, b1, b2, b3, i) -> idle(S, closed, up, b1, b2, b3, i)
busy(FS, closed, down, b1, b2, b3, i) -> idle(F, closed, down, b1, b2, b3, i)
busy(B, closed, stop, false, true, b3, i) -> idle(B, closed, up, false, true, b3, i)
busy(B, closed, stop, false, false, true, i) -> idle(B, closed, up, false, false, true, i)
busy(F, closed, stop, true, false, b3, i) -> idle(F, closed, down, true, false, b3, i)
busy(F, closed, stop, false, false, true, i) -> idle(F, closed, up, false, false, true, i)
busy(S, closed, stop, b1, true, false, i) -> idle(S, closed, down, b1, true, false, i)
busy(S, closed, stop, true, false, false, i) -> idle(S, closed, down, true, false, false, i)
idle(fl, d, m, b1, b2, b3, empty) -> busy(fl, d, m, b1, b2, b3, empty)
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)
or(true, b) -> true
or(false, b) -> b

Strategy:

innermost

On this DP problem, an Instantiation SCC transformation can be performed.
As a result of transforming the rule

BUSY(S, open, stop, b1, b2, false, i) -> IDLE(S, closed, stop, b1, b2, false, i)

one new Dependency Pair is created:

BUSY(S, open, stop, b1'', b2'', false, empty) -> IDLE(S, closed, stop, b1'', b2'', false, empty)

The transformation is resulting in one new DP problem:

     ↳DPs

       →DP Problem 1

         ↳AFS

           →DP Problem 2

             ↳DGraph

...

               →DP Problem 6

                 ↳Instantiation Transformation

Dependency Pairs:

BUSY(S, open, stop, b1'', b2'', false, empty) -> IDLE(S, closed, stop, b1'', b2'', false, empty)
BUSY(B, open, stop, false, b2'', b3'', empty) -> IDLE(B, closed, stop, false, b2'', b3'', empty)
BUSY(S, closed, stop, true, false, false, i) -> IDLE(S, closed, down, true, false, false, i)
BUSY(S, closed, stop, b1, true, false, i) -> IDLE(S, closed, down, b1, true, false, i)
BUSY(F, closed, stop, false, false, true, i) -> IDLE(F, closed, up, false, false, true, i)
BUSY(F, closed, stop, true, false, b3, i) -> IDLE(F, closed, down, true, false, b3, i)
BUSY(B, closed, stop, false, false, true, i) -> IDLE(B, closed, up, false, false, true, i)
BUSY(B, closed, stop, false, true, b3, i) -> IDLE(B, closed, up, false, true, b3, i)
BUSY(FS, closed, down, b1, b2, b3, i) -> IDLE(F, closed, down, b1, b2, b3, i)
BUSY(FS, closed, up, b1, b2, b3, i) -> IDLE(S, closed, up, b1, b2, b3, i)
BUSY(BF, closed, down, b1, b2, b3, i) -> IDLE(B, closed, down, b1, b2, b3, i)
BUSY(BF, closed, up, b1, b2, b3, i) -> IDLE(F, closed, up, b1, b2, b3, i)
BUSY(S, closed, down, b1, b2, false, i) -> IDLE(FS, closed, down, b1, b2, false, i)
BUSY(F, closed, down, b1, false, b3, i) -> IDLE(BF, closed, down, b1, false, b3, i)
BUSY(F, closed, up, b1, false, b3, i) -> IDLE(FS, closed, up, b1, false, b3, i)
BUSY(B, closed, up, false, b2, b3, i) -> IDLE(BF, closed, up, false, b2, b3, i)
BUSY(S, closed, down, b1, b2, true, i) -> IDLE(S, closed, stop, b1, b2, true, i)
BUSY(F, closed, down, b1, true, b3, i) -> IDLE(F, closed, stop, b1, true, b3, i)
BUSY(F, closed, up, b1, true, b3, i) -> IDLE(F, closed, stop, b1, true, b3, i)
BUSY(B, closed, up, true, b2, b3, i) -> IDLE(B, closed, stop, true, b2, b3, i)
BUSY(S, closed, up, b1, b2, b3, i) -> IDLE(S, closed, stop, b1, b2, b3, i)
BUSY(B, closed, down, b1, b2, b3, i) -> IDLE(B, closed, stop, b1, b2, b3, i)
BUSY(S, d, stop, b1, b2, true, i) -> IDLE(S, open, stop, b1, b2, false, i)
BUSY(F, d, stop, b1, true, b3, i) -> IDLE(F, open, stop, b1, false, b3, i)
BUSY(B, d, stop, true, b2, b3, i) -> IDLE(B, open, stop, false, b2, b3, i)
IDLE(fl, d, m, b1, b2, b3, empty) -> BUSY(fl, d, m, b1, b2, b3, empty)
BUSY(F, open, stop, b1'', false, b3'', empty) -> IDLE(F, closed, stop, b1'', false, b3'', empty)

Rules:

start(i) -> busy(F, closed, stop, false, false, false, i)
busy(BF, d, stop, b1, b2, b3, i) -> incorrect
busy(FS, d, stop, b1, b2, b3, i) -> incorrect
busy(fl, open, up, b1, b2, b3, i) -> incorrect
busy(fl, open, down, b1, b2, b3, i) -> incorrect
busy(B, closed, stop, false, false, false, empty) -> correct
busy(F, closed, stop, false, false, false, empty) -> correct
busy(S, closed, stop, false, false, false, empty) -> correct
busy(B, closed, stop, false, false, false, newbuttons(i1, i2, i3, i)) -> idle(B, closed, stop, false, false, false, newbuttons(i1, i2, i3, i))
busy(F, closed, stop, false, false, false, newbuttons(i1, i2, i3, i)) -> idle(F, closed, stop, false, false, false, newbuttons(i1, i2, i3, i))
busy(S, closed, stop, false, false, false, newbuttons(i1, i2, i3, i)) -> idle(S, closed, stop, false, false, false, newbuttons(i1, i2, i3, i))
busy(B, open, stop, false, b2, b3, i) -> idle(B, closed, stop, false, b2, b3, i)
busy(F, open, stop, b1, false, b3, i) -> idle(F, closed, stop, b1, false, b3, i)
busy(S, open, stop, b1, b2, false, i) -> idle(S, closed, stop, b1, b2, false, i)
busy(B, d, stop, true, b2, b3, i) -> idle(B, open, stop, false, b2, b3, i)
busy(F, d, stop, b1, true, b3, i) -> idle(F, open, stop, b1, false, b3, i)
busy(S, d, stop, b1, b2, true, i) -> idle(S, open, stop, b1, b2, false, i)
busy(B, closed, down, b1, b2, b3, i) -> idle(B, closed, stop, b1, b2, b3, i)
busy(S, closed, up, b1, b2, b3, i) -> idle(S, closed, stop, b1, b2, b3, i)
busy(B, closed, up, true, b2, b3, i) -> idle(B, closed, stop, true, b2, b3, i)
busy(F, closed, up, b1, true, b3, i) -> idle(F, closed, stop, b1, true, b3, i)
busy(F, closed, down, b1, true, b3, i) -> idle(F, closed, stop, b1, true, b3, i)
busy(S, closed, down, b1, b2, true, i) -> idle(S, closed, stop, b1, b2, true, i)
busy(B, closed, up, false, b2, b3, i) -> idle(BF, closed, up, false, b2, b3, i)
busy(F, closed, up, b1, false, b3, i) -> idle(FS, closed, up, b1, false, b3, i)
busy(F, closed, down, b1, false, b3, i) -> idle(BF, closed, down, b1, false, b3, i)
busy(S, closed, down, b1, b2, false, i) -> idle(FS, closed, down, b1, b2, false, i)
busy(BF, closed, up, b1, b2, b3, i) -> idle(F, closed, up, b1, b2, b3, i)
busy(BF, closed, down, b1, b2, b3, i) -> idle(B, closed, down, b1, b2, b3, i)
busy(FS, closed, up, b1, b2, b3, i) -> idle(S, closed, up, b1, b2, b3, i)
busy(FS, closed, down, b1, b2, b3, i) -> idle(F, closed, down, b1, b2, b3, i)
busy(B, closed, stop, false, true, b3, i) -> idle(B, closed, up, false, true, b3, i)
busy(B, closed, stop, false, false, true, i) -> idle(B, closed, up, false, false, true, i)
busy(F, closed, stop, true, false, b3, i) -> idle(F, closed, down, true, false, b3, i)
busy(F, closed, stop, false, false, true, i) -> idle(F, closed, up, false, false, true, i)
busy(S, closed, stop, b1, true, false, i) -> idle(S, closed, down, b1, true, false, i)
busy(S, closed, stop, true, false, false, i) -> idle(S, closed, down, true, false, false, i)
idle(fl, d, m, b1, b2, b3, empty) -> busy(fl, d, m, b1, b2, b3, empty)
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)
or(true, b) -> true
or(false, b) -> b

Strategy:

innermost

On this DP problem, an Instantiation SCC transformation can be performed.
As a result of transforming the rule

BUSY(B, d, stop, true, b2, b3, i) -> IDLE(B, open, stop, false, b2, b3, i)

one new Dependency Pair is created:

BUSY(B, d'', stop, true, b2'', b3'', empty) -> IDLE(B, open, stop, false, b2'', b3'', empty)

The transformation is resulting in one new DP problem:

     ↳DPs

       →DP Problem 1

         ↳AFS

           →DP Problem 2

             ↳DGraph

...

               →DP Problem 7

                 ↳Instantiation Transformation

Dependency Pairs:

BUSY(B, d'', stop, true, b2'', b3'', empty) -> IDLE(B, open, stop, false, b2'', b3'', empty)
BUSY(F, open, stop, b1'', false, b3'', empty) -> IDLE(F, closed, stop, b1'', false, b3'', empty)
BUSY(B, open, stop, false, b2'', b3'', empty) -> IDLE(B, closed, stop, false, b2'', b3'', empty)
BUSY(S, closed, stop, true, false, false, i) -> IDLE(S, closed, down, true, false, false, i)
BUSY(S, closed, stop, b1, true, false, i) -> IDLE(S, closed, down, b1, true, false, i)
BUSY(F, closed, stop, false, false, true, i) -> IDLE(F, closed, up, false, false, true, i)
BUSY(F, closed, stop, true, false, b3, i) -> IDLE(F, closed, down, true, false, b3, i)
BUSY(B, closed, stop, false, false, true, i) -> IDLE(B, closed, up, false, false, true, i)
BUSY(B, closed, stop, false, true, b3, i) -> IDLE(B, closed, up, false, true, b3, i)
BUSY(FS, closed, down, b1, b2, b3, i) -> IDLE(F, closed, down, b1, b2, b3, i)
BUSY(FS, closed, up, b1, b2, b3, i) -> IDLE(S, closed, up, b1, b2, b3, i)
BUSY(BF, closed, down, b1, b2, b3, i) -> IDLE(B, closed, down, b1, b2, b3, i)
BUSY(BF, closed, up, b1, b2, b3, i) -> IDLE(F, closed, up, b1, b2, b3, i)
BUSY(S, closed, down, b1, b2, false, i) -> IDLE(FS, closed, down, b1, b2, false, i)
BUSY(F, closed, down, b1, false, b3, i) -> IDLE(BF, closed, down, b1, false, b3, i)
BUSY(F, closed, up, b1, false, b3, i) -> IDLE(FS, closed, up, b1, false, b3, i)
BUSY(B, closed, up, false, b2, b3, i) -> IDLE(BF, closed, up, false, b2, b3, i)
BUSY(S, closed, down, b1, b2, true, i) -> IDLE(S, closed, stop, b1, b2, true, i)
BUSY(F, closed, down, b1, true, b3, i) -> IDLE(F, closed, stop, b1, true, b3, i)
BUSY(F, closed, up, b1, true, b3, i) -> IDLE(F, closed, stop, b1, true, b3, i)
BUSY(B, closed, up, true, b2, b3, i) -> IDLE(B, closed, stop, true, b2, b3, i)
BUSY(S, closed, up, b1, b2, b3, i) -> IDLE(S, closed, stop, b1, b2, b3, i)
BUSY(B, closed, down, b1, b2, b3, i) -> IDLE(B, closed, stop, b1, b2, b3, i)
BUSY(S, d, stop, b1, b2, true, i) -> IDLE(S, open, stop, b1, b2, false, i)
BUSY(F, d, stop, b1, true, b3, i) -> IDLE(F, open, stop, b1, false, b3, i)
IDLE(fl, d, m, b1, b2, b3, empty) -> BUSY(fl, d, m, b1, b2, b3, empty)
BUSY(S, open, stop, b1'', b2'', false, empty) -> IDLE(S, closed, stop, b1'', b2'', false, empty)

Rules:

start(i) -> busy(F, closed, stop, false, false, false, i)
busy(BF, d, stop, b1, b2, b3, i) -> incorrect
busy(FS, d, stop, b1, b2, b3, i) -> incorrect
busy(fl, open, up, b1, b2, b3, i) -> incorrect
busy(fl, open, down, b1, b2, b3, i) -> incorrect
busy(B, closed, stop, false, false, false, empty) -> correct
busy(F, closed, stop, false, false, false, empty) -> correct
busy(S, closed, stop, false, false, false, empty) -> correct
busy(B, closed, stop, false, false, false, newbuttons(i1, i2, i3, i)) -> idle(B, closed, stop, false, false, false, newbuttons(i1, i2, i3, i))
busy(F, closed, stop, false, false, false, newbuttons(i1, i2, i3, i)) -> idle(F, closed, stop, false, false, false, newbuttons(i1, i2, i3, i))
busy(S, closed, stop, false, false, false, newbuttons(i1, i2, i3, i)) -> idle(S, closed, stop, false, false, false, newbuttons(i1, i2, i3, i))
busy(B, open, stop, false, b2, b3, i) -> idle(B, closed, stop, false, b2, b3, i)
busy(F, open, stop, b1, false, b3, i) -> idle(F, closed, stop, b1, false, b3, i)
busy(S, open, stop, b1, b2, false, i) -> idle(S, closed, stop, b1, b2, false, i)
busy(B, d, stop, true, b2, b3, i) -> idle(B, open, stop, false, b2, b3, i)
busy(F, d, stop, b1, true, b3, i) -> idle(F, open, stop, b1, false, b3, i)
busy(S, d, stop, b1, b2, true, i) -> idle(S, open, stop, b1, b2, false, i)
busy(B, closed, down, b1, b2, b3, i) -> idle(B, closed, stop, b1, b2, b3, i)
busy(S, closed, up, b1, b2, b3, i) -> idle(S, closed, stop, b1, b2, b3, i)
busy(B, closed, up, true, b2, b3, i) -> idle(B, closed, stop, true, b2, b3, i)
busy(F, closed, up, b1, true, b3, i) -> idle(F, closed, stop, b1, true, b3, i)
busy(F, closed, down, b1, true, b3, i) -> idle(F, closed, stop, b1, true, b3, i)
busy(S, closed, down, b1, b2, true, i) -> idle(S, closed, stop, b1, b2, true, i)
busy(B, closed, up, false, b2, b3, i) -> idle(BF, closed, up, false, b2, b3, i)
busy(F, closed, up, b1, false, b3, i) -> idle(FS, closed, up, b1, false, b3, i)
busy(F, closed, down, b1, false, b3, i) -> idle(BF, closed, down, b1, false, b3, i)
busy(S, closed, down, b1, b2, false, i) -> idle(FS, closed, down, b1, b2, false, i)
busy(BF, closed, up, b1, b2, b3, i) -> idle(F, closed, up, b1, b2, b3, i)
busy(BF, closed, down, b1, b2, b3, i) -> idle(B, closed, down, b1, b2, b3, i)
busy(FS, closed, up, b1, b2, b3, i) -> idle(S, closed, up, b1, b2, b3, i)
busy(FS, closed, down, b1, b2, b3, i) -> idle(F, closed, down, b1, b2, b3, i)
busy(B, closed, stop, false, true, b3, i) -> idle(B, closed, up, false, true, b3, i)
busy(B, closed, stop, false, false, true, i) -> idle(B, closed, up, false, false, true, i)
busy(F, closed, stop, true, false, b3, i) -> idle(F, closed, down, true, false, b3, i)
busy(F, closed, stop, false, false, true, i) -> idle(F, closed, up, false, false, true, i)
busy(S, closed, stop, b1, true, false, i) -> idle(S, closed, down, b1, true, false, i)
busy(S, closed, stop, true, false, false, i) -> idle(S, closed, down, true, false, false, i)
idle(fl, d, m, b1, b2, b3, empty) -> busy(fl, d, m, b1, b2, b3, empty)
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)
or(true, b) -> true
or(false, b) -> b

Strategy:

innermost

On this DP problem, an Instantiation SCC transformation can be performed.
As a result of transforming the rule

BUSY(F, d, stop, b1, true, b3, i) -> IDLE(F, open, stop, b1, false, b3, i)

one new Dependency Pair is created:

BUSY(F, d'', stop, b1'', true, b3'', empty) -> IDLE(F, open, stop, b1'', false, b3'', empty)

The transformation is resulting in one new DP problem:

     ↳DPs

       →DP Problem 1

         ↳AFS

           →DP Problem 2

             ↳DGraph

...

               →DP Problem 8

                 ↳Instantiation Transformation

Dependency Pairs:

BUSY(F, d'', stop, b1'', true, b3'', empty) -> IDLE(F, open, stop, b1'', false, b3'', empty)
BUSY(S, open, stop, b1'', b2'', false, empty) -> IDLE(S, closed, stop, b1'', b2'', false, empty)
BUSY(F, open, stop, b1'', false, b3'', empty) -> IDLE(F, closed, stop, b1'', false, b3'', empty)
BUSY(B, open, stop, false, b2'', b3'', empty) -> IDLE(B, closed, stop, false, b2'', b3'', empty)
BUSY(S, closed, stop, true, false, false, i) -> IDLE(S, closed, down, true, false, false, i)
BUSY(S, closed, stop, b1, true, false, i) -> IDLE(S, closed, down, b1, true, false, i)
BUSY(F, closed, stop, false, false, true, i) -> IDLE(F, closed, up, false, false, true, i)
BUSY(F, closed, stop, true, false, b3, i) -> IDLE(F, closed, down, true, false, b3, i)
BUSY(B, closed, stop, false, false, true, i) -> IDLE(B, closed, up, false, false, true, i)
BUSY(B, closed, stop, false, true, b3, i) -> IDLE(B, closed, up, false, true, b3, i)
BUSY(FS, closed, down, b1, b2, b3, i) -> IDLE(F, closed, down, b1, b2, b3, i)
BUSY(FS, closed, up, b1, b2, b3, i) -> IDLE(S, closed, up, b1, b2, b3, i)
BUSY(BF, closed, down, b1, b2, b3, i) -> IDLE(B, closed, down, b1, b2, b3, i)
BUSY(BF, closed, up, b1, b2, b3, i) -> IDLE(F, closed, up, b1, b2, b3, i)
BUSY(S, closed, down, b1, b2, false, i) -> IDLE(FS, closed, down, b1, b2, false, i)
BUSY(F, closed, down, b1, false, b3, i) -> IDLE(BF, closed, down, b1, false, b3, i)
BUSY(F, closed, up, b1, false, b3, i) -> IDLE(FS, closed, up, b1, false, b3, i)
BUSY(B, closed, up, false, b2, b3, i) -> IDLE(BF, closed, up, false, b2, b3, i)
BUSY(S, closed, down, b1, b2, true, i) -> IDLE(S, closed, stop, b1, b2, true, i)
BUSY(F, closed, down, b1, true, b3, i) -> IDLE(F, closed, stop, b1, true, b3, i)
BUSY(F, closed, up, b1, true, b3, i) -> IDLE(F, closed, stop, b1, true, b3, i)
BUSY(B, closed, up, true, b2, b3, i) -> IDLE(B, closed, stop, true, b2, b3, i)
BUSY(S, closed, up, b1, b2, b3, i) -> IDLE(S, closed, stop, b1, b2, b3, i)
BUSY(B, closed, down, b1, b2, b3, i) -> IDLE(B, closed, stop, b1, b2, b3, i)
BUSY(S, d, stop, b1, b2, true, i) -> IDLE(S, open, stop, b1, b2, false, i)
IDLE(fl, d, m, b1, b2, b3, empty) -> BUSY(fl, d, m, b1, b2, b3, empty)
BUSY(B, d'', stop, true, b2'', b3'', empty) -> IDLE(B, open, stop, false, b2'', b3'', empty)

Rules:

start(i) -> busy(F, closed, stop, false, false, false, i)
busy(BF, d, stop, b1, b2, b3, i) -> incorrect
busy(FS, d, stop, b1, b2, b3, i) -> incorrect
busy(fl, open, up, b1, b2, b3, i) -> incorrect
busy(fl, open, down, b1, b2, b3, i) -> incorrect
busy(B, closed, stop, false, false, false, empty) -> correct
busy(F, closed, stop, false, false, false, empty) -> correct
busy(S, closed, stop, false, false, false, empty) -> correct
busy(B, closed, stop, false, false, false, newbuttons(i1, i2, i3, i)) -> idle(B, closed, stop, false, false, false, newbuttons(i1, i2, i3, i))
busy(F, closed, stop, false, false, false, newbuttons(i1, i2, i3, i)) -> idle(F, closed, stop, false, false, false, newbuttons(i1, i2, i3, i))
busy(S, closed, stop, false, false, false, newbuttons(i1, i2, i3, i)) -> idle(S, closed, stop, false, false, false, newbuttons(i1, i2, i3, i))
busy(B, open, stop, false, b2, b3, i) -> idle(B, closed, stop, false, b2, b3, i)
busy(F, open, stop, b1, false, b3, i) -> idle(F, closed, stop, b1, false, b3, i)
busy(S, open, stop, b1, b2, false, i) -> idle(S, closed, stop, b1, b2, false, i)
busy(B, d, stop, true, b2, b3, i) -> idle(B, open, stop, false, b2, b3, i)
busy(F, d, stop, b1, true, b3, i) -> idle(F, open, stop, b1, false, b3, i)
busy(S, d, stop, b1, b2, true, i) -> idle(S, open, stop, b1, b2, false, i)
busy(B, closed, down, b1, b2, b3, i) -> idle(B, closed, stop, b1, b2, b3, i)
busy(S, closed, up, b1, b2, b3, i) -> idle(S, closed, stop, b1, b2, b3, i)
busy(B, closed, up, true, b2, b3, i) -> idle(B, closed, stop, true, b2, b3, i)
busy(F, closed, up, b1, true, b3, i) -> idle(F, closed, stop, b1, true, b3, i)
busy(F, closed, down, b1, true, b3, i) -> idle(F, closed, stop, b1, true, b3, i)
busy(S, closed, down, b1, b2, true, i) -> idle(S, closed, stop, b1, b2, true, i)
busy(B, closed, up, false, b2, b3, i) -> idle(BF, closed, up, false, b2, b3, i)
busy(F, closed, up, b1, false, b3, i) -> idle(FS, closed, up, b1, false, b3, i)
busy(F, closed, down, b1, false, b3, i) -> idle(BF, closed, down, b1, false, b3, i)
busy(S, closed, down, b1, b2, false, i) -> idle(FS, closed, down, b1, b2, false, i)
busy(BF, closed, up, b1, b2, b3, i) -> idle(F, closed, up, b1, b2, b3, i)
busy(BF, closed, down, b1, b2, b3, i) -> idle(B, closed, down, b1, b2, b3, i)
busy(FS, closed, up, b1, b2, b3, i) -> idle(S, closed, up, b1, b2, b3, i)
busy(FS, closed, down, b1, b2, b3, i) -> idle(F, closed, down, b1, b2, b3, i)
busy(B, closed, stop, false, true, b3, i) -> idle(B, closed, up, false, true, b3, i)
busy(B, closed, stop, false, false, true, i) -> idle(B, closed, up, false, false, true, i)
busy(F, closed, stop, true, false, b3, i) -> idle(F, closed, down, true, false, b3, i)
busy(F, closed, stop, false, false, true, i) -> idle(F, closed, up, false, false, true, i)
busy(S, closed, stop, b1, true, false, i) -> idle(S, closed, down, b1, true, false, i)
busy(S, closed, stop, true, false, false, i) -> idle(S, closed, down, true, false, false, i)
idle(fl, d, m, b1, b2, b3, empty) -> busy(fl, d, m, b1, b2, b3, empty)
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)
or(true, b) -> true
or(false, b) -> b

Strategy:

innermost

On this DP problem, an Instantiation SCC transformation can be performed.
As a result of transforming the rule

BUSY(S, d, stop, b1, b2, true, i) -> IDLE(S, open, stop, b1, b2, false, i)

one new Dependency Pair is created:

BUSY(S, d'', stop, b1'', b2'', true, empty) -> IDLE(S, open, stop, b1'', b2'', false, empty)

The transformation is resulting in one new DP problem:

     ↳DPs

       →DP Problem 1

         ↳AFS

           →DP Problem 2

             ↳DGraph

...

               →DP Problem 9

                 ↳Instantiation Transformation

Dependency Pairs:

BUSY(S, d'', stop, b1'', b2'', true, empty) -> IDLE(S, open, stop, b1'', b2'', false, empty)
BUSY(B, d'', stop, true, b2'', b3'', empty) -> IDLE(B, open, stop, false, b2'', b3'', empty)
BUSY(S, open, stop, b1'', b2'', false, empty) -> IDLE(S, closed, stop, b1'', b2'', false, empty)
BUSY(F, open, stop, b1'', false, b3'', empty) -> IDLE(F, closed, stop, b1'', false, b3'', empty)
BUSY(B, open, stop, false, b2'', b3'', empty) -> IDLE(B, closed, stop, false, b2'', b3'', empty)
BUSY(S, closed, stop, true, false, false, i) -> IDLE(S, closed, down, true, false, false, i)
BUSY(S, closed, stop, b1, true, false, i) -> IDLE(S, closed, down, b1, true, false, i)
BUSY(F, closed, stop, false, false, true, i) -> IDLE(F, closed, up, false, false, true, i)
BUSY(F, closed, stop, true, false, b3, i) -> IDLE(F, closed, down, true, false, b3, i)
BUSY(B, closed, stop, false, false, true, i) -> IDLE(B, closed, up, false, false, true, i)
BUSY(B, closed, stop, false, true, b3, i) -> IDLE(B, closed, up, false, true, b3, i)
BUSY(FS, closed, down, b1, b2, b3, i) -> IDLE(F, closed, down, b1, b2, b3, i)
BUSY(FS, closed, up, b1, b2, b3, i) -> IDLE(S, closed, up, b1, b2, b3, i)
BUSY(BF, closed, down, b1, b2, b3, i) -> IDLE(B, closed, down, b1, b2, b3, i)
BUSY(BF, closed, up, b1, b2, b3, i) -> IDLE(F, closed, up, b1, b2, b3, i)
BUSY(S, closed, down, b1, b2, false, i) -> IDLE(FS, closed, down, b1, b2, false, i)
BUSY(F, closed, down, b1, false, b3, i) -> IDLE(BF, closed, down, b1, false, b3, i)
BUSY(F, closed, up, b1, false, b3, i) -> IDLE(FS, closed, up, b1, false, b3, i)
BUSY(B, closed, up, false, b2, b3, i) -> IDLE(BF, closed, up, false, b2, b3, i)
BUSY(S, closed, down, b1, b2, true, i) -> IDLE(S, closed, stop, b1, b2, true, i)
BUSY(F, closed, down, b1, true, b3, i) -> IDLE(F, closed, stop, b1, true, b3, i)
BUSY(F, closed, up, b1, true, b3, i) -> IDLE(F, closed, stop, b1, true, b3, i)
BUSY(B, closed, up, true, b2, b3, i) -> IDLE(B, closed, stop, true, b2, b3, i)
BUSY(S, closed, up, b1, b2, b3, i) -> IDLE(S, closed, stop, b1, b2, b3, i)
BUSY(B, closed, down, b1, b2, b3, i) -> IDLE(B, closed, stop, b1, b2, b3, i)
IDLE(fl, d, m, b1, b2, b3, empty) -> BUSY(fl, d, m, b1, b2, b3, empty)
BUSY(F, d'', stop, b1'', true, b3'', empty) -> IDLE(F, open, stop, b1'', false, b3'', empty)

Rules:

start(i) -> busy(F, closed, stop, false, false, false, i)
busy(BF, d, stop, b1, b2, b3, i) -> incorrect
busy(FS, d, stop, b1, b2, b3, i) -> incorrect
busy(fl, open, up, b1, b2, b3, i) -> incorrect
busy(fl, open, down, b1, b2, b3, i) -> incorrect
busy(B, closed, stop, false, false, false, empty) -> correct
busy(F, closed, stop, false, false, false, empty) -> correct
busy(S, closed, stop, false, false, false, empty) -> correct
busy(B, closed, stop, false, false, false, newbuttons(i1, i2, i3, i)) -> idle(B, closed, stop, false, false, false, newbuttons(i1, i2, i3, i))
busy(F, closed, stop, false, false, false, newbuttons(i1, i2, i3, i)) -> idle(F, closed, stop, false, false, false, newbuttons(i1, i2, i3, i))
busy(S, closed, stop, false, false, false, newbuttons(i1, i2, i3, i)) -> idle(S, closed, stop, false, false, false, newbuttons(i1, i2, i3, i))
busy(B, open, stop, false, b2, b3, i) -> idle(B, closed, stop, false, b2, b3, i)
busy(F, open, stop, b1, false, b3, i) -> idle(F, closed, stop, b1, false, b3, i)
busy(S, open, stop, b1, b2, false, i) -> idle(S, closed, stop, b1, b2, false, i)
busy(B, d, stop, true, b2, b3, i) -> idle(B, open, stop, false, b2, b3, i)
busy(F, d, stop, b1, true, b3, i) -> idle(F, open, stop, b1, false, b3, i)
busy(S, d, stop, b1, b2, true, i) -> idle(S, open, stop, b1, b2, false, i)
busy(B, closed, down, b1, b2, b3, i) -> idle(B, closed, stop, b1, b2, b3, i)
busy(S, closed, up, b1, b2, b3, i) -> idle(S, closed, stop, b1, b2, b3, i)
busy(B, closed, up, true, b2, b3, i) -> idle(B, closed, stop, true, b2, b3, i)
busy(F, closed, up, b1, true, b3, i) -> idle(F, closed, stop, b1, true, b3, i)
busy(F, closed, down, b1, true, b3, i) -> idle(F, closed, stop, b1, true, b3, i)
busy(S, closed, down, b1, b2, true, i) -> idle(S, closed, stop, b1, b2, true, i)
busy(B, closed, up, false, b2, b3, i) -> idle(BF, closed, up, false, b2, b3, i)
busy(F, closed, up, b1, false, b3, i) -> idle(FS, closed, up, b1, false, b3, i)
busy(F, closed, down, b1, false, b3, i) -> idle(BF, closed, down, b1, false, b3, i)
busy(S, closed, down, b1, b2, false, i) -> idle(FS, closed, down, b1, b2, false, i)
busy(BF, closed, up, b1, b2, b3, i) -> idle(F, closed, up, b1, b2, b3, i)
busy(BF, closed, down, b1, b2, b3, i) -> idle(B, closed, down, b1, b2, b3, i)
busy(FS, closed, up, b1, b2, b3, i) -> idle(S, closed, up, b1, b2, b3, i)
busy(FS, closed, down, b1, b2, b3, i) -> idle(F, closed, down, b1, b2, b3, i)
busy(B, closed, stop, false, true, b3, i) -> idle(B, closed, up, false, true, b3, i)
busy(B, closed, stop, false, false, true, i) -> idle(B, closed, up, false, false, true, i)
busy(F, closed, stop, true, false, b3, i) -> idle(F, closed, down, true, false, b3, i)
busy(F, closed, stop, false, false, true, i) -> idle(F, closed, up, false, false, true, i)
busy(S, closed, stop, b1, true, false, i) -> idle(S, closed, down, b1, true, false, i)
busy(S, closed, stop, true, false, false, i) -> idle(S, closed, down, true, false, false, i)
idle(fl, d, m, b1, b2, b3, empty) -> busy(fl, d, m, b1, b2, b3, empty)
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)
or(true, b) -> true
or(false, b) -> b

Strategy:

innermost

On this DP problem, an Instantiation SCC transformation can be performed.
As a result of transforming the rule

BUSY(B, closed, down, b1, b2, b3, i) -> IDLE(B, closed, stop, b1, b2, b3, i)

one new Dependency Pair is created:

BUSY(B, closed, down, b1'', b2'', b3'', empty) -> IDLE(B, closed, stop, b1'', b2'', b3'', empty)

The transformation is resulting in one new DP problem:

     ↳DPs

       →DP Problem 1

         ↳AFS

           →DP Problem 2

             ↳DGraph

...

               →DP Problem 10

                 ↳Instantiation Transformation

Dependency Pairs:

BUSY(B, closed, down, b1'', b2'', b3'', empty) -> IDLE(B, closed, stop, b1'', b2'', b3'', empty)
BUSY(F, d'', stop, b1'', true, b3'', empty) -> IDLE(F, open, stop, b1'', false, b3'', empty)
BUSY(B, d'', stop, true, b2'', b3'', empty) -> IDLE(B, open, stop, false, b2'', b3'', empty)
BUSY(S, open, stop, b1'', b2'', false, empty) -> IDLE(S, closed, stop, b1'', b2'', false, empty)
BUSY(F, open, stop, b1'', false, b3'', empty) -> IDLE(F, closed, stop, b1'', false, b3'', empty)
BUSY(B, open, stop, false, b2'', b3'', empty) -> IDLE(B, closed, stop, false, b2'', b3'', empty)
BUSY(S, closed, stop, true, false, false, i) -> IDLE(S, closed, down, true, false, false, i)
BUSY(S, closed, stop, b1, true, false, i) -> IDLE(S, closed, down, b1, true, false, i)
BUSY(F, closed, stop, false, false, true, i) -> IDLE(F, closed, up, false, false, true, i)
BUSY(F, closed, stop, true, false, b3, i) -> IDLE(F, closed, down, true, false, b3, i)
BUSY(B, closed, stop, false, false, true, i) -> IDLE(B, closed, up, false, false, true, i)
BUSY(B, closed, stop, false, true, b3, i) -> IDLE(B, closed, up, false, true, b3, i)
BUSY(FS, closed, down, b1, b2, b3, i) -> IDLE(F, closed, down, b1, b2, b3, i)
BUSY(FS, closed, up, b1, b2, b3, i) -> IDLE(S, closed, up, b1, b2, b3, i)
BUSY(BF, closed, down, b1, b2, b3, i) -> IDLE(B, closed, down, b1, b2, b3, i)
BUSY(BF, closed, up, b1, b2, b3, i) -> IDLE(F, closed, up, b1, b2, b3, i)
BUSY(S, closed, down, b1, b2, false, i) -> IDLE(FS, closed, down, b1, b2, false, i)
BUSY(F, closed, down, b1, false, b3, i) -> IDLE(BF, closed, down, b1, false, b3, i)
BUSY(F, closed, up, b1, false, b3, i) -> IDLE(FS, closed, up, b1, false, b3, i)
BUSY(B, closed, up, false, b2, b3, i) -> IDLE(BF, closed, up, false, b2, b3, i)
BUSY(S, closed, down, b1, b2, true, i) -> IDLE(S, closed, stop, b1, b2, true, i)
BUSY(F, closed, down, b1, true, b3, i) -> IDLE(F, closed, stop, b1, true, b3, i)
BUSY(F, closed, up, b1, true, b3, i) -> IDLE(F, closed, stop, b1, true, b3, i)
BUSY(B, closed, up, true, b2, b3, i) -> IDLE(B, closed, stop, true, b2, b3, i)
BUSY(S, closed, up, b1, b2, b3, i) -> IDLE(S, closed, stop, b1, b2, b3, i)
IDLE(fl, d, m, b1, b2, b3, empty) -> BUSY(fl, d, m, b1, b2, b3, empty)
BUSY(S, d'', stop, b1'', b2'', true, empty) -> IDLE(S, open, stop, b1'', b2'', false, empty)

Rules:

start(i) -> busy(F, closed, stop, false, false, false, i)
busy(BF, d, stop, b1, b2, b3, i) -> incorrect
busy(FS, d, stop, b1, b2, b3, i) -> incorrect
busy(fl, open, up, b1, b2, b3, i) -> incorrect
busy(fl, open, down, b1, b2, b3, i) -> incorrect
busy(B, closed, stop, false, false, false, empty) -> correct
busy(F, closed, stop, false, false, false, empty) -> correct
busy(S, closed, stop, false, false, false, empty) -> correct
busy(B, closed, stop, false, false, false, newbuttons(i1, i2, i3, i)) -> idle(B, closed, stop, false, false, false, newbuttons(i1, i2, i3, i))
busy(F, closed, stop, false, false, false, newbuttons(i1, i2, i3, i)) -> idle(F, closed, stop, false, false, false, newbuttons(i1, i2, i3, i))
busy(S, closed, stop, false, false, false, newbuttons(i1, i2, i3, i)) -> idle(S, closed, stop, false, false, false, newbuttons(i1, i2, i3, i))
busy(B, open, stop, false, b2, b3, i) -> idle(B, closed, stop, false, b2, b3, i)
busy(F, open, stop, b1, false, b3, i) -> idle(F, closed, stop, b1, false, b3, i)
busy(S, open, stop, b1, b2, false, i) -> idle(S, closed, stop, b1, b2, false, i)
busy(B, d, stop, true, b2, b3, i) -> idle(B, open, stop, false, b2, b3, i)
busy(F, d, stop, b1, true, b3, i) -> idle(F, open, stop, b1, false, b3, i)
busy(S, d, stop, b1, b2, true, i) -> idle(S, open, stop, b1, b2, false, i)
busy(B, closed, down, b1, b2, b3, i) -> idle(B, closed, stop, b1, b2, b3, i)
busy(S, closed, up, b1, b2, b3, i) -> idle(S, closed, stop, b1, b2, b3, i)
busy(B, closed, up, true, b2, b3, i) -> idle(B, closed, stop, true, b2, b3, i)
busy(F, closed, up, b1, true, b3, i) -> idle(F, closed, stop, b1, true, b3, i)
busy(F, closed, down, b1, true, b3, i) -> idle(F, closed, stop, b1, true, b3, i)
busy(S, closed, down, b1, b2, true, i) -> idle(S, closed, stop, b1, b2, true, i)
busy(B, closed, up, false, b2, b3, i) -> idle(BF, closed, up, false, b2, b3, i)
busy(F, closed, up, b1, false, b3, i) -> idle(FS, closed, up, b1, false, b3, i)
busy(F, closed, down, b1, false, b3, i) -> idle(BF, closed, down, b1, false, b3, i)
busy(S, closed, down, b1, b2, false, i) -> idle(FS, closed, down, b1, b2, false, i)
busy(BF, closed, up, b1, b2, b3, i) -> idle(F, closed, up, b1, b2, b3, i)
busy(BF, closed, down, b1, b2, b3, i) -> idle(B, closed, down, b1, b2, b3, i)
busy(FS, closed, up, b1, b2, b3, i) -> idle(S, closed, up, b1, b2, b3, i)
busy(FS, closed, down, b1, b2, b3, i) -> idle(F, closed, down, b1, b2, b3, i)
busy(B, closed, stop, false, true, b3, i) -> idle(B, closed, up, false, true, b3, i)
busy(B, closed, stop, false, false, true, i) -> idle(B, closed, up, false, false, true, i)
busy(F, closed, stop, true, false, b3, i) -> idle(F, closed, down, true, false, b3, i)
busy(F, closed, stop, false, false, true, i) -> idle(F, closed, up, false, false, true, i)
busy(S, closed, stop, b1, true, false, i) -> idle(S, closed, down, b1, true, false, i)
busy(S, closed, stop, true, false, false, i) -> idle(S, closed, down, true, false, false, i)
idle(fl, d, m, b1, b2, b3, empty) -> busy(fl, d, m, b1, b2, b3, empty)
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)
or(true, b) -> true
or(false, b) -> b

Strategy:

innermost

On this DP problem, an Instantiation SCC transformation can be performed.
As a result of transforming the rule

BUSY(S, closed, up, b1, b2, b3, i) -> IDLE(S, closed, stop, b1, b2, b3, i)

one new Dependency Pair is created:

BUSY(S, closed, up, b1'', b2'', b3'', empty) -> IDLE(S, closed, stop, b1'', b2'', b3'', empty)

The transformation is resulting in one new DP problem:

     ↳DPs

       →DP Problem 1

         ↳AFS

           →DP Problem 2

             ↳DGraph

...

               →DP Problem 11

                 ↳Instantiation Transformation

Dependency Pairs:

BUSY(S, closed, up, b1'', b2'', b3'', empty) -> IDLE(S, closed, stop, b1'', b2'', b3'', empty)
BUSY(S, d'', stop, b1'', b2'', true, empty) -> IDLE(S, open, stop, b1'', b2'', false, empty)
BUSY(F, d'', stop, b1'', true, b3'', empty) -> IDLE(F, open, stop, b1'', false, b3'', empty)
BUSY(B, d'', stop, true, b2'', b3'', empty) -> IDLE(B, open, stop, false, b2'', b3'', empty)
BUSY(S, open, stop, b1'', b2'', false, empty) -> IDLE(S, closed, stop, b1'', b2'', false, empty)
BUSY(F, open, stop, b1'', false, b3'', empty) -> IDLE(F, closed, stop, b1'', false, b3'', empty)
BUSY(B, open, stop, false, b2'', b3'', empty) -> IDLE(B, closed, stop, false, b2'', b3'', empty)
BUSY(S, closed, stop, true, false, false, i) -> IDLE(S, closed, down, true, false, false, i)
BUSY(S, closed, stop, b1, true, false, i) -> IDLE(S, closed, down, b1, true, false, i)
BUSY(F, closed, stop, false, false, true, i) -> IDLE(F, closed, up, false, false, true, i)
BUSY(F, closed, stop, true, false, b3, i) -> IDLE(F, closed, down, true, false, b3, i)
BUSY(B, closed, stop, false, false, true, i) -> IDLE(B, closed, up, false, false, true, i)
BUSY(B, closed, stop, false, true, b3, i) -> IDLE(B, closed, up, false, true, b3, i)
BUSY(FS, closed, down, b1, b2, b3, i) -> IDLE(F, closed, down, b1, b2, b3, i)
BUSY(FS, closed, up, b1, b2, b3, i) -> IDLE(S, closed, up, b1, b2, b3, i)
BUSY(BF, closed, down, b1, b2, b3, i) -> IDLE(B, closed, down, b1, b2, b3, i)
BUSY(BF, closed, up, b1, b2, b3, i) -> IDLE(F, closed, up, b1, b2, b3, i)
BUSY(S, closed, down, b1, b2, false, i) -> IDLE(FS, closed, down, b1, b2, false, i)
BUSY(F, closed, down, b1, false, b3, i) -> IDLE(BF, closed, down, b1, false, b3, i)
BUSY(F, closed, up, b1, false, b3, i) -> IDLE(FS, closed, up, b1, false, b3, i)
BUSY(B, closed, up, false, b2, b3, i) -> IDLE(BF, closed, up, false, b2, b3, i)
BUSY(S, closed, down, b1, b2, true, i) -> IDLE(S, closed, stop, b1, b2, true, i)
BUSY(F, closed, down, b1, true, b3, i) -> IDLE(F, closed, stop, b1, true, b3, i)
BUSY(F, closed, up, b1, true, b3, i) -> IDLE(F, closed, stop, b1, true, b3, i)
BUSY(B, closed, up, true, b2, b3, i) -> IDLE(B, closed, stop, true, b2, b3, i)
IDLE(fl, d, m, b1, b2, b3, empty) -> BUSY(fl, d, m, b1, b2, b3, empty)
BUSY(B, closed, down, b1'', b2'', b3'', empty) -> IDLE(B, closed, stop, b1'', b2'', b3'', empty)

Rules:

start(i) -> busy(F, closed, stop, false, false, false, i)
busy(BF, d, stop, b1, b2, b3, i) -> incorrect
busy(FS, d, stop, b1, b2, b3, i) -> incorrect
busy(fl, open, up, b1, b2, b3, i) -> incorrect
busy(fl, open, down, b1, b2, b3, i) -> incorrect
busy(B, closed, stop, false, false, false, empty) -> correct
busy(F, closed, stop, false, false, false, empty) -> correct
busy(S, closed, stop, false, false, false, empty) -> correct
busy(B, closed, stop, false, false, false, newbuttons(i1, i2, i3, i)) -> idle(B, closed, stop, false, false, false, newbuttons(i1, i2, i3, i))
busy(F, closed, stop, false, false, false, newbuttons(i1, i2, i3, i)) -> idle(F, closed, stop, false, false, false, newbuttons(i1, i2, i3, i))
busy(S, closed, stop, false, false, false, newbuttons(i1, i2, i3, i)) -> idle(S, closed, stop, false, false, false, newbuttons(i1, i2, i3, i))
busy(B, open, stop, false, b2, b3, i) -> idle(B, closed, stop, false, b2, b3, i)
busy(F, open, stop, b1, false, b3, i) -> idle(F, closed, stop, b1, false, b3, i)
busy(S, open, stop, b1, b2, false, i) -> idle(S, closed, stop, b1, b2, false, i)
busy(B, d, stop, true, b2, b3, i) -> idle(B, open, stop, false, b2, b3, i)
busy(F, d, stop, b1, true, b3, i) -> idle(F, open, stop, b1, false, b3, i)
busy(S, d, stop, b1, b2, true, i) -> idle(S, open, stop, b1, b2, false, i)
busy(B, closed, down, b1, b2, b3, i) -> idle(B, closed, stop, b1, b2, b3, i)
busy(S, closed, up, b1, b2, b3, i) -> idle(S, closed, stop, b1, b2, b3, i)
busy(B, closed, up, true, b2, b3, i) -> idle(B, closed, stop, true, b2, b3, i)
busy(F, closed, up, b1, true, b3, i) -> idle(F, closed, stop, b1, true, b3, i)
busy(F, closed, down, b1, true, b3, i) -> idle(F, closed, stop, b1, true, b3, i)
busy(S, closed, down, b1, b2, true, i) -> idle(S, closed, stop, b1, b2, true, i)
busy(B, closed, up, false, b2, b3, i) -> idle(BF, closed, up, false, b2, b3, i)
busy(F, closed, up, b1, false, b3, i) -> idle(FS, closed, up, b1, false, b3, i)
busy(F, closed, down, b1, false, b3, i) -> idle(BF, closed, down, b1, false, b3, i)
busy(S, closed, down, b1, b2, false, i) -> idle(FS, closed, down, b1, b2, false, i)
busy(BF, closed, up, b1, b2, b3, i) -> idle(F, closed, up, b1, b2, b3, i)
busy(BF, closed, down, b1, b2, b3, i) -> idle(B, closed, down, b1, b2, b3, i)
busy(FS, closed, up, b1, b2, b3, i) -> idle(S, closed, up, b1, b2, b3, i)
busy(FS, closed, down, b1, b2, b3, i) -> idle(F, closed, down, b1, b2, b3, i)
busy(B, closed, stop, false, true, b3, i) -> idle(B, closed, up, false, true, b3, i)
busy(B, closed, stop, false, false, true, i) -> idle(B, closed, up, false, false, true, i)
busy(F, closed, stop, true, false, b3, i) -> idle(F, closed, down, true, false, b3, i)
busy(F, closed, stop, false, false, true, i) -> idle(F, closed, up, false, false, true, i)
busy(S, closed, stop, b1, true, false, i) -> idle(S, closed, down, b1, true, false, i)
busy(S, closed, stop, true, false, false, i) -> idle(S, closed, down, true, false, false, i)
idle(fl, d, m, b1, b2, b3, empty) -> busy(fl, d, m, b1, b2, b3, empty)
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)
or(true, b) -> true
or(false, b) -> b

Strategy:

innermost

On this DP problem, an Instantiation SCC transformation can be performed.
As a result of transforming the rule

BUSY(B, closed, up, true, b2, b3, i) -> IDLE(B, closed, stop, true, b2, b3, i)

one new Dependency Pair is created:

BUSY(B, closed, up, true, b2'', b3'', empty) -> IDLE(B, closed, stop, true, b2'', b3'', empty)

The transformation is resulting in one new DP problem:

     ↳DPs

       →DP Problem 1

         ↳AFS

           →DP Problem 2

             ↳DGraph

...

               →DP Problem 12

                 ↳Instantiation Transformation

Dependency Pairs:

BUSY(B, closed, up, true, b2'', b3'', empty) -> IDLE(B, closed, stop, true, b2'', b3'', empty)
BUSY(B, closed, down, b1'', b2'', b3'', empty) -> IDLE(B, closed, stop, b1'', b2'', b3'', empty)
BUSY(S, d'', stop, b1'', b2'', true, empty) -> IDLE(S, open, stop, b1'', b2'', false, empty)
BUSY(F, d'', stop, b1'', true, b3'', empty) -> IDLE(F, open, stop, b1'', false, b3'', empty)
BUSY(B, d'', stop, true, b2'', b3'', empty) -> IDLE(B, open, stop, false, b2'', b3'', empty)
BUSY(S, open, stop, b1'', b2'', false, empty) -> IDLE(S, closed, stop, b1'', b2'', false, empty)
BUSY(F, open, stop, b1'', false, b3'', empty) -> IDLE(F, closed, stop, b1'', false, b3'', empty)
BUSY(B, open, stop, false, b2'', b3'', empty) -> IDLE(B, closed, stop, false, b2'', b3'', empty)
BUSY(S, closed, stop, true, false, false, i) -> IDLE(S, closed, down, true, false, false, i)
BUSY(S, closed, stop, b1, true, false, i) -> IDLE(S, closed, down, b1, true, false, i)
BUSY(F, closed, stop, false, false, true, i) -> IDLE(F, closed, up, false, false, true, i)
BUSY(F, closed, stop, true, false, b3, i) -> IDLE(F, closed, down, true, false, b3, i)
BUSY(B, closed, stop, false, false, true, i) -> IDLE(B, closed, up, false, false, true, i)
BUSY(B, closed, stop, false, true, b3, i) -> IDLE(B, closed, up, false, true, b3, i)
BUSY(FS, closed, down, b1, b2, b3, i) -> IDLE(F, closed, down, b1, b2, b3, i)
BUSY(FS, closed, up, b1, b2, b3, i) -> IDLE(S, closed, up, b1, b2, b3, i)
BUSY(BF, closed, down, b1, b2, b3, i) -> IDLE(B, closed, down, b1, b2, b3, i)
BUSY(BF, closed, up, b1, b2, b3, i) -> IDLE(F, closed, up, b1, b2, b3, i)
BUSY(S, closed, down, b1, b2, false, i) -> IDLE(FS, closed, down, b1, b2, false, i)
BUSY(F, closed, down, b1, false, b3, i) -> IDLE(BF, closed, down, b1, false, b3, i)
BUSY(F, closed, up, b1, false, b3, i) -> IDLE(FS, closed, up, b1, false, b3, i)
BUSY(B, closed, up, false, b2, b3, i) -> IDLE(BF, closed, up, false, b2, b3, i)
BUSY(S, closed, down, b1, b2, true, i) -> IDLE(S, closed, stop, b1, b2, true, i)
BUSY(F, closed, down, b1, true, b3, i) -> IDLE(F, closed, stop, b1, true, b3, i)
BUSY(F, closed, up, b1, true, b3, i) -> IDLE(F, closed, stop, b1, true, b3, i)
IDLE(fl, d, m, b1, b2, b3, empty) -> BUSY(fl, d, m, b1, b2, b3, empty)
BUSY(S, closed, up, b1'', b2'', b3'', empty) -> IDLE(S, closed, stop, b1'', b2'', b3'', empty)

Rules:

start(i) -> busy(F, closed, stop, false, false, false, i)
busy(BF, d, stop, b1, b2, b3, i) -> incorrect
busy(FS, d, stop, b1, b2, b3, i) -> incorrect
busy(fl, open, up, b1, b2, b3, i) -> incorrect
busy(fl, open, down, b1, b2, b3, i) -> incorrect
busy(B, closed, stop, false, false, false, empty) -> correct
busy(F, closed, stop, false, false, false, empty) -> correct
busy(S, closed, stop, false, false, false, empty) -> correct
busy(B, closed, stop, false, false, false, newbuttons(i1, i2, i3, i)) -> idle(B, closed, stop, false, false, false, newbuttons(i1, i2, i3, i))
busy(F, closed, stop, false, false, false, newbuttons(i1, i2, i3, i)) -> idle(F, closed, stop, false, false, false, newbuttons(i1, i2, i3, i))
busy(S, closed, stop, false, false, false, newbuttons(i1, i2, i3, i)) -> idle(S, closed, stop, false, false, false, newbuttons(i1, i2, i3, i))
busy(B, open, stop, false, b2, b3, i) -> idle(B, closed, stop, false, b2, b3, i)
busy(F, open, stop, b1, false, b3, i) -> idle(F, closed, stop, b1, false, b3, i)
busy(S, open, stop, b1, b2, false, i) -> idle(S, closed, stop, b1, b2, false, i)
busy(B, d, stop, true, b2, b3, i) -> idle(B, open, stop, false, b2, b3, i)
busy(F, d, stop, b1, true, b3, i) -> idle(F, open, stop, b1, false, b3, i)
busy(S, d, stop, b1, b2, true, i) -> idle(S, open, stop, b1, b2, false, i)
busy(B, closed, down, b1, b2, b3, i) -> idle(B, closed, stop, b1, b2, b3, i)
busy(S, closed, up, b1, b2, b3, i) -> idle(S, closed, stop, b1, b2, b3, i)
busy(B, closed, up, true, b2, b3, i) -> idle(B, closed, stop, true, b2, b3, i)
busy(F, closed, up, b1, true, b3, i) -> idle(F, closed, stop, b1, true, b3, i)
busy(F, closed, down, b1, true, b3, i) -> idle(F, closed, stop, b1, true, b3, i)
busy(S, closed, down, b1, b2, true, i) -> idle(S, closed, stop, b1, b2, true, i)
busy(B, closed, up, false, b2, b3, i) -> idle(BF, closed, up, false, b2, b3, i)
busy(F, closed, up, b1, false, b3, i) -> idle(FS, closed, up, b1, false, b3, i)
busy(F, closed, down, b1, false, b3, i) -> idle(BF, closed, down, b1, false, b3, i)
busy(S, closed, down, b1, b2, false, i) -> idle(FS, closed, down, b1, b2, false, i)
busy(BF, closed, up, b1, b2, b3, i) -> idle(F, closed, up, b1, b2, b3, i)
busy(BF, closed, down, b1, b2, b3, i) -> idle(B, closed, down, b1, b2, b3, i)
busy(FS, closed, up, b1, b2, b3, i) -> idle(S, closed, up, b1, b2, b3, i)
busy(FS, closed, down, b1, b2, b3, i) -> idle(F, closed, down, b1, b2, b3, i)
busy(B, closed, stop, false, true, b3, i) -> idle(B, closed, up, false, true, b3, i)
busy(B, closed, stop, false, false, true, i) -> idle(B, closed, up, false, false, true, i)
busy(F, closed, stop, true, false, b3, i) -> idle(F, closed, down, true, false, b3, i)
busy(F, closed, stop, false, false, true, i) -> idle(F, closed, up, false, false, true, i)
busy(S, closed, stop, b1, true, false, i) -> idle(S, closed, down, b1, true, false, i)
busy(S, closed, stop, true, false, false, i) -> idle(S, closed, down, true, false, false, i)
idle(fl, d, m, b1, b2, b3, empty) -> busy(fl, d, m, b1, b2, b3, empty)
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)
or(true, b) -> true
or(false, b) -> b

Strategy:

innermost

On this DP problem, an Instantiation SCC transformation can be performed.
As a result of transforming the rule

BUSY(F, closed, up, b1, true, b3, i) -> IDLE(F, closed, stop, b1, true, b3, i)

one new Dependency Pair is created:

BUSY(F, closed, up, b1'', true, b3'', empty) -> IDLE(F, closed, stop, b1'', true, b3'', empty)

The transformation is resulting in one new DP problem:

     ↳DPs

       →DP Problem 1

         ↳AFS

           →DP Problem 2

             ↳DGraph

...

               →DP Problem 13

                 ↳Instantiation Transformation

Dependency Pairs:

BUSY(F, closed, up, b1'', true, b3'', empty) -> IDLE(F, closed, stop, b1'', true, b3'', empty)
BUSY(S, closed, up, b1'', b2'', b3'', empty) -> IDLE(S, closed, stop, b1'', b2'', b3'', empty)
BUSY(B, closed, down, b1'', b2'', b3'', empty) -> IDLE(B, closed, stop, b1'', b2'', b3'', empty)
BUSY(S, d'', stop, b1'', b2'', true, empty) -> IDLE(S, open, stop, b1'', b2'', false, empty)
BUSY(F, d'', stop, b1'', true, b3'', empty) -> IDLE(F, open, stop, b1'', false, b3'', empty)
BUSY(B, d'', stop, true, b2'', b3'', empty) -> IDLE(B, open, stop, false, b2'', b3'', empty)
BUSY(S, open, stop, b1'', b2'', false, empty) -> IDLE(S, closed, stop, b1'', b2'', false, empty)
BUSY(F, open, stop, b1'', false, b3'', empty) -> IDLE(F, closed, stop, b1'', false, b3'', empty)
BUSY(B, open, stop, false, b2'', b3'', empty) -> IDLE(B, closed, stop, false, b2'', b3'', empty)
BUSY(S, closed, stop, true, false, false, i) -> IDLE(S, closed, down, true, false, false, i)
BUSY(S, closed, stop, b1, true, false, i) -> IDLE(S, closed, down, b1, true, false, i)
BUSY(F, closed, stop, false, false, true, i) -> IDLE(F, closed, up, false, false, true, i)
BUSY(F, closed, stop, true, false, b3, i) -> IDLE(F, closed, down, true, false, b3, i)
BUSY(B, closed, stop, false, false, true, i) -> IDLE(B, closed, up, false, false, true, i)
BUSY(B, closed, stop, false, true, b3, i) -> IDLE(B, closed, up, false, true, b3, i)
BUSY(FS, closed, down, b1, b2, b3, i) -> IDLE(F, closed, down, b1, b2, b3, i)
BUSY(FS, closed, up, b1, b2, b3, i) -> IDLE(S, closed, up, b1, b2, b3, i)
BUSY(BF, closed, down, b1, b2, b3, i) -> IDLE(B, closed, down, b1, b2, b3, i)
BUSY(BF, closed, up, b1, b2, b3, i) -> IDLE(F, closed, up, b1, b2, b3, i)
BUSY(S, closed, down, b1, b2, false, i) -> IDLE(FS, closed, down, b1, b2, false, i)
BUSY(F, closed, down, b1, false, b3, i) -> IDLE(BF, closed, down, b1, false, b3, i)
BUSY(F, closed, up, b1, false, b3, i) -> IDLE(FS, closed, up, b1, false, b3, i)
BUSY(B, closed, up, false, b2, b3, i) -> IDLE(BF, closed, up, false, b2, b3, i)
BUSY(S, closed, down, b1, b2, true, i) -> IDLE(S, closed, stop, b1, b2, true, i)
BUSY(F, closed, down, b1, true, b3, i) -> IDLE(F, closed, stop, b1, true, b3, i)
IDLE(fl, d, m, b1, b2, b3, empty) -> BUSY(fl, d, m, b1, b2, b3, empty)
BUSY(B, closed, up, true, b2'', b3'', empty) -> IDLE(B, closed, stop, true, b2'', b3'', empty)

Rules:

start(i) -> busy(F, closed, stop, false, false, false, i)
busy(BF, d, stop, b1, b2, b3, i) -> incorrect
busy(FS, d, stop, b1, b2, b3, i) -> incorrect
busy(fl, open, up, b1, b2, b3, i) -> incorrect
busy(fl, open, down, b1, b2, b3, i) -> incorrect
busy(B, closed, stop, false, false, false, empty) -> correct
busy(F, closed, stop, false, false, false, empty) -> correct
busy(S, closed, stop, false, false, false, empty) -> correct
busy(B, closed, stop, false, false, false, newbuttons(i1, i2, i3, i)) -> idle(B, closed, stop, false, false, false, newbuttons(i1, i2, i3, i))
busy(F, closed, stop, false, false, false, newbuttons(i1, i2, i3, i)) -> idle(F, closed, stop, false, false, false, newbuttons(i1, i2, i3, i))
busy(S, closed, stop, false, false, false, newbuttons(i1, i2, i3, i)) -> idle(S, closed, stop, false, false, false, newbuttons(i1, i2, i3, i))
busy(B, open, stop, false, b2, b3, i) -> idle(B, closed, stop, false, b2, b3, i)
busy(F, open, stop, b1, false, b3, i) -> idle(F, closed, stop, b1, false, b3, i)
busy(S, open, stop, b1, b2, false, i) -> idle(S, closed, stop, b1, b2, false, i)
busy(B, d, stop, true, b2, b3, i) -> idle(B, open, stop, false, b2, b3, i)
busy(F, d, stop, b1, true, b3, i) -> idle(F, open, stop, b1, false, b3, i)
busy(S, d, stop, b1, b2, true, i) -> idle(S, open, stop, b1, b2, false, i)
busy(B, closed, down, b1, b2, b3, i) -> idle(B, closed, stop, b1, b2, b3, i)
busy(S, closed, up, b1, b2, b3, i) -> idle(S, closed, stop, b1, b2, b3, i)
busy(B, closed, up, true, b2, b3, i) -> idle(B, closed, stop, true, b2, b3, i)
busy(F, closed, up, b1, true, b3, i) -> idle(F, closed, stop, b1, true, b3, i)
busy(F, closed, down, b1, true, b3, i) -> idle(F, closed, stop, b1, true, b3, i)
busy(S, closed, down, b1, b2, true, i) -> idle(S, closed, stop, b1, b2, true, i)
busy(B, closed, up, false, b2, b3, i) -> idle(BF, closed, up, false, b2, b3, i)
busy(F, closed, up, b1, false, b3, i) -> idle(FS, closed, up, b1, false, b3, i)
busy(F, closed, down, b1, false, b3, i) -> idle(BF, closed, down, b1, false, b3, i)
busy(S, closed, down, b1, b2, false, i) -> idle(FS, closed, down, b1, b2, false, i)
busy(BF, closed, up, b1, b2, b3, i) -> idle(F, closed, up, b1, b2, b3, i)
busy(BF, closed, down, b1, b2, b3, i) -> idle(B, closed, down, b1, b2, b3, i)
busy(FS, closed, up, b1, b2, b3, i) -> idle(S, closed, up, b1, b2, b3, i)
busy(FS, closed, down, b1, b2, b3, i) -> idle(F, closed, down, b1, b2, b3, i)
busy(B, closed, stop, false, true, b3, i) -> idle(B, closed, up, false, true, b3, i)
busy(B, closed, stop, false, false, true, i) -> idle(B, closed, up, false, false, true, i)
busy(F, closed, stop, true, false, b3, i) -> idle(F, closed, down, true, false, b3, i)
busy(F, closed, stop, false, false, true, i) -> idle(F, closed, up, false, false, true, i)
busy(S, closed, stop, b1, true, false, i) -> idle(S, closed, down, b1, true, false, i)
busy(S, closed, stop, true, false, false, i) -> idle(S, closed, down, true, false, false, i)
idle(fl, d, m, b1, b2, b3, empty) -> busy(fl, d, m, b1, b2, b3, empty)
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)
or(true, b) -> true
or(false, b) -> b

Strategy:

innermost

On this DP problem, an Instantiation SCC transformation can be performed.
As a result of transforming the rule

BUSY(F, closed, down, b1, true, b3, i) -> IDLE(F, closed, stop, b1, true, b3, i)

one new Dependency Pair is created:

BUSY(F, closed, down, b1'', true, b3'', empty) -> IDLE(F, closed, stop, b1'', true, b3'', empty)

The transformation is resulting in one new DP problem:

     ↳DPs

       →DP Problem 1

         ↳AFS

           →DP Problem 2

             ↳DGraph

...

               →DP Problem 14

                 ↳Instantiation Transformation

Dependency Pairs:

BUSY(F, closed, down, b1'', true, b3'', empty) -> IDLE(F, closed, stop, b1'', true, b3'', empty)
BUSY(B, closed, up, true, b2'', b3'', empty) -> IDLE(B, closed, stop, true, b2'', b3'', empty)
BUSY(S, closed, up, b1'', b2'', b3'', empty) -> IDLE(S, closed, stop, b1'', b2'', b3'', empty)
BUSY(B, closed, down, b1'', b2'', b3'', empty) -> IDLE(B, closed, stop, b1'', b2'', b3'', empty)
BUSY(S, d'', stop, b1'', b2'', true, empty) -> IDLE(S, open, stop, b1'', b2'', false, empty)
BUSY(F, d'', stop, b1'', true, b3'', empty) -> IDLE(F, open, stop, b1'', false, b3'', empty)
BUSY(B, d'', stop, true, b2'', b3'', empty) -> IDLE(B, open, stop, false, b2'', b3'', empty)
BUSY(S, open, stop, b1'', b2'', false, empty) -> IDLE(S, closed, stop, b1'', b2'', false, empty)
BUSY(F, open, stop, b1'', false, b3'', empty) -> IDLE(F, closed, stop, b1'', false, b3'', empty)
BUSY(B, open, stop, false, b2'', b3'', empty) -> IDLE(B, closed, stop, false, b2'', b3'', empty)
BUSY(S, closed, stop, true, false, false, i) -> IDLE(S, closed, down, true, false, false, i)
BUSY(S, closed, stop, b1, true, false, i) -> IDLE(S, closed, down, b1, true, false, i)
BUSY(F, closed, stop, false, false, true, i) -> IDLE(F, closed, up, false, false, true, i)
BUSY(F, closed, stop, true, false, b3, i) -> IDLE(F, closed, down, true, false, b3, i)
BUSY(B, closed, stop, false, false, true, i) -> IDLE(B, closed, up, false, false, true, i)
BUSY(B, closed, stop, false, true, b3, i) -> IDLE(B, closed, up, false, true, b3, i)
BUSY(FS, closed, down, b1, b2, b3, i) -> IDLE(F, closed, down, b1, b2, b3, i)
BUSY(FS, closed, up, b1, b2, b3, i) -> IDLE(S, closed, up, b1, b2, b3, i)
BUSY(BF, closed, down, b1, b2, b3, i) -> IDLE(B, closed, down, b1, b2, b3, i)
BUSY(BF, closed, up, b1, b2, b3, i) -> IDLE(F, closed, up, b1, b2, b3, i)
BUSY(S, closed, down, b1, b2, false, i) -> IDLE(FS, closed, down, b1, b2, false, i)
BUSY(F, closed, down, b1, false, b3, i) -> IDLE(BF, closed, down, b1, false, b3, i)
BUSY(F, closed, up, b1, false, b3, i) -> IDLE(FS, closed, up, b1, false, b3, i)
BUSY(B, closed, up, false, b2, b3, i) -> IDLE(BF, closed, up, false, b2, b3, i)
BUSY(S, closed, down, b1, b2, true, i) -> IDLE(S, closed, stop, b1, b2, true, i)
IDLE(fl, d, m, b1, b2, b3, empty) -> BUSY(fl, d, m, b1, b2, b3, empty)
BUSY(F, closed, up, b1'', true, b3'', empty) -> IDLE(F, closed, stop, b1'', true, b3'', empty)

Rules:

start(i) -> busy(F, closed, stop, false, false, false, i)
busy(BF, d, stop, b1, b2, b3, i) -> incorrect
busy(FS, d, stop, b1, b2, b3, i) -> incorrect
busy(fl, open, up, b1, b2, b3, i) -> incorrect
busy(fl, open, down, b1, b2, b3, i) -> incorrect
busy(B, closed, stop, false, false, false, empty) -> correct
busy(F, closed, stop, false, false, false, empty) -> correct
busy(S, closed, stop, false, false, false, empty) -> correct
busy(B, closed, stop, false, false, false, newbuttons(i1, i2, i3, i)) -> idle(B, closed, stop, false, false, false, newbuttons(i1, i2, i3, i))
busy(F, closed, stop, false, false, false, newbuttons(i1, i2, i3, i)) -> idle(F, closed, stop, false, false, false, newbuttons(i1, i2, i3, i))
busy(S, closed, stop, false, false, false, newbuttons(i1, i2, i3, i)) -> idle(S, closed, stop, false, false, false, newbuttons(i1, i2, i3, i))
busy(B, open, stop, false, b2, b3, i) -> idle(B, closed, stop, false, b2, b3, i)
busy(F, open, stop, b1, false, b3, i) -> idle(F, closed, stop, b1, false, b3, i)
busy(S, open, stop, b1, b2, false, i) -> idle(S, closed, stop, b1, b2, false, i)
busy(B, d, stop, true, b2, b3, i) -> idle(B, open, stop, false, b2, b3, i)
busy(F, d, stop, b1, true, b3, i) -> idle(F, open, stop, b1, false, b3, i)
busy(S, d, stop, b1, b2, true, i) -> idle(S, open, stop, b1, b2, false, i)
busy(B, closed, down, b1, b2, b3, i) -> idle(B, closed, stop, b1, b2, b3, i)
busy(S, closed, up, b1, b2, b3, i) -> idle(S, closed, stop, b1, b2, b3, i)
busy(B, closed, up, true, b2, b3, i) -> idle(B, closed, stop, true, b2, b3, i)
busy(F, closed, up, b1, true, b3, i) -> idle(F, closed, stop, b1, true, b3, i)
busy(F, closed, down, b1, true, b3, i) -> idle(F, closed, stop, b1, true, b3, i)
busy(S, closed, down, b1, b2, true, i) -> idle(S, closed, stop, b1, b2, true, i)
busy(B, closed, up, false, b2, b3, i) -> idle(BF, closed, up, false, b2, b3, i)
busy(F, closed, up, b1, false, b3, i) -> idle(FS, closed, up, b1, false, b3, i)
busy(F, closed, down, b1, false, b3, i) -> idle(BF, closed, down, b1, false, b3, i)
busy(S, closed, down, b1, b2, false, i) -> idle(FS, closed, down, b1, b2, false, i)
busy(BF, closed, up, b1, b2, b3, i) -> idle(F, closed, up, b1, b2, b3, i)
busy(BF, closed, down, b1, b2, b3, i) -> idle(B, closed, down, b1, b2, b3, i)
busy(FS, closed, up, b1, b2, b3, i) -> idle(S, closed, up, b1, b2, b3, i)
busy(FS, closed, down, b1, b2, b3, i) -> idle(F, closed, down, b1, b2, b3, i)
busy(B, closed, stop, false, true, b3, i) -> idle(B, closed, up, false, true, b3, i)
busy(B, closed, stop, false, false, true, i) -> idle(B, closed, up, false, false, true, i)
busy(F, closed, stop, true, false, b3, i) -> idle(F, closed, down, true, false, b3, i)
busy(F, closed, stop, false, false, true, i) -> idle(F, closed, up, false, false, true, i)
busy(S, closed, stop, b1, true, false, i) -> idle(S, closed, down, b1, true, false, i)
busy(S, closed, stop, true, false, false, i) -> idle(S, closed, down, true, false, false, i)
idle(fl, d, m, b1, b2, b3, empty) -> busy(fl, d, m, b1, b2, b3, empty)
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)
or(true, b) -> true
or(false, b) -> b

Strategy:

innermost

On this DP problem, an Instantiation SCC transformation can be performed.
As a result of transforming the rule

BUSY(S, closed, down, b1, b2, true, i) -> IDLE(S, closed, stop, b1, b2, true, i)

one new Dependency Pair is created:

BUSY(S, closed, down, b1'', b2'', true, empty) -> IDLE(S, closed, stop, b1'', b2'', true, empty)

The transformation is resulting in one new DP problem:

     ↳DPs

       →DP Problem 1

         ↳AFS

           →DP Problem 2

             ↳DGraph

...

               →DP Problem 15

                 ↳Instantiation Transformation

Dependency Pairs:

BUSY(S, closed, down, b1'', b2'', true, empty) -> IDLE(S, closed, stop, b1'', b2'', true, empty)
BUSY(F, closed, up, b1'', true, b3'', empty) -> IDLE(F, closed, stop, b1'', true, b3'', empty)
BUSY(B, closed, up, true, b2'', b3'', empty) -> IDLE(B, closed, stop, true, b2'', b3'', empty)
BUSY(S, closed, up, b1'', b2'', b3'', empty) -> IDLE(S, closed, stop, b1'', b2'', b3'', empty)
BUSY(B, closed, down, b1'', b2'', b3'', empty) -> IDLE(B, closed, stop, b1'', b2'', b3'', empty)
BUSY(S, d'', stop, b1'', b2'', true, empty) -> IDLE(S, open, stop, b1'', b2'', false, empty)
BUSY(F, d'', stop, b1'', true, b3'', empty) -> IDLE(F, open, stop, b1'', false, b3'', empty)
BUSY(B, d'', stop, true, b2'', b3'', empty) -> IDLE(B, open, stop, false, b2'', b3'', empty)
BUSY(S, open, stop, b1'', b2'', false, empty) -> IDLE(S, closed, stop, b1'', b2'', false, empty)
BUSY(F, open, stop, b1'', false, b3'', empty) -> IDLE(F, closed, stop, b1'', false, b3'', empty)
BUSY(B, open, stop, false, b2'', b3'', empty) -> IDLE(B, closed, stop, false, b2'', b3'', empty)
BUSY(S, closed, stop, true, false, false, i) -> IDLE(S, closed, down, true, false, false, i)
BUSY(S, closed, stop, b1, true, false, i) -> IDLE(S, closed, down, b1, true, false, i)
BUSY(F, closed, stop, false, false, true, i) -> IDLE(F, closed, up, false, false, true, i)
BUSY(F, closed, stop, true, false, b3, i) -> IDLE(F, closed, down, true, false, b3, i)
BUSY(B, closed, stop, false, false, true, i) -> IDLE(B, closed, up, false, false, true, i)
BUSY(B, closed, stop, false, true, b3, i) -> IDLE(B, closed, up, false, true, b3, i)
BUSY(FS, closed, down, b1, b2, b3, i) -> IDLE(F, closed, down, b1, b2, b3, i)
BUSY(FS, closed, up, b1, b2, b3, i) -> IDLE(S, closed, up, b1, b2, b3, i)
BUSY(BF, closed, down, b1, b2, b3, i) -> IDLE(B, closed, down, b1, b2, b3, i)
BUSY(BF, closed, up, b1, b2, b3, i) -> IDLE(F, closed, up, b1, b2, b3, i)
BUSY(S, closed, down, b1, b2, false, i) -> IDLE(FS, closed, down, b1, b2, false, i)
BUSY(F, closed, down, b1, false, b3, i) -> IDLE(BF, closed, down, b1, false, b3, i)
BUSY(F, closed, up, b1, false, b3, i) -> IDLE(FS, closed, up, b1, false, b3, i)
BUSY(B, closed, up, false, b2, b3, i) -> IDLE(BF, closed, up, false, b2, b3, i)
IDLE(fl, d, m, b1, b2, b3, empty) -> BUSY(fl, d, m, b1, b2, b3, empty)
BUSY(F, closed, down, b1'', true, b3'', empty) -> IDLE(F, closed, stop, b1'', true, b3'', empty)

Rules:

start(i) -> busy(F, closed, stop, false, false, false, i)
busy(BF, d, stop, b1, b2, b3, i) -> incorrect
busy(FS, d, stop, b1, b2, b3, i) -> incorrect
busy(fl, open, up, b1, b2, b3, i) -> incorrect
busy(fl, open, down, b1, b2, b3, i) -> incorrect
busy(B, closed, stop, false, false, false, empty) -> correct
busy(F, closed, stop, false, false, false, empty) -> correct
busy(S, closed, stop, false, false, false, empty) -> correct
busy(B, closed, stop, false, false, false, newbuttons(i1, i2, i3, i)) -> idle(B, closed, stop, false, false, false, newbuttons(i1, i2, i3, i))
busy(F, closed, stop, false, false, false, newbuttons(i1, i2, i3, i)) -> idle(F, closed, stop, false, false, false, newbuttons(i1, i2, i3, i))
busy(S, closed, stop, false, false, false, newbuttons(i1, i2, i3, i)) -> idle(S, closed, stop, false, false, false, newbuttons(i1, i2, i3, i))
busy(B, open, stop, false, b2, b3, i) -> idle(B, closed, stop, false, b2, b3, i)
busy(F, open, stop, b1, false, b3, i) -> idle(F, closed, stop, b1, false, b3, i)
busy(S, open, stop, b1, b2, false, i) -> idle(S, closed, stop, b1, b2, false, i)
busy(B, d, stop, true, b2, b3, i) -> idle(B, open, stop, false, b2, b3, i)
busy(F, d, stop, b1, true, b3, i) -> idle(F, open, stop, b1, false, b3, i)
busy(S, d, stop, b1, b2, true, i) -> idle(S, open, stop, b1, b2, false, i)
busy(B, closed, down, b1, b2, b3, i) -> idle(B, closed, stop, b1, b2, b3, i)
busy(S, closed, up, b1, b2, b3, i) -> idle(S, closed, stop, b1, b2, b3, i)
busy(B, closed, up, true, b2, b3, i) -> idle(B, closed, stop, true, b2, b3, i)
busy(F, closed, up, b1, true, b3, i) -> idle(F, closed, stop, b1, true, b3, i)
busy(F, closed, down, b1, true, b3, i) -> idle(F, closed, stop, b1, true, b3, i)
busy(S, closed, down, b1, b2, true, i) -> idle(S, closed, stop, b1, b2, true, i)
busy(B, closed, up, false, b2, b3, i) -> idle(BF, closed, up, false, b2, b3, i)
busy(F, closed, up, b1, false, b3, i) -> idle(FS, closed, up, b1, false, b3, i)
busy(F, closed, down, b1, false, b3, i) -> idle(BF, closed, down, b1, false, b3, i)
busy(S, closed, down, b1, b2, false, i) -> idle(FS, closed, down, b1, b2, false, i)
busy(BF, closed, up, b1, b2, b3, i) -> idle(F, closed, up, b1, b2, b3, i)
busy(BF, closed, down, b1, b2, b3, i) -> idle(B, closed, down, b1, b2, b3, i)
busy(FS, closed, up, b1, b2, b3, i) -> idle(S, closed, up, b1, b2, b3, i)
busy(FS, closed, down, b1, b2, b3, i) -> idle(F, closed, down, b1, b2, b3, i)
busy(B, closed, stop, false, true, b3, i) -> idle(B, closed, up, false, true, b3, i)
busy(B, closed, stop, false, false, true, i) -> idle(B, closed, up, false, false, true, i)
busy(F, closed, stop, true, false, b3, i) -> idle(F, closed, down, true, false, b3, i)
busy(F, closed, stop, false, false, true, i) -> idle(F, closed, up, false, false, true, i)
busy(S, closed, stop, b1, true, false, i) -> idle(S, closed, down, b1, true, false, i)
busy(S, closed, stop, true, false, false, i) -> idle(S, closed, down, true, false, false, i)
idle(fl, d, m, b1, b2, b3, empty) -> busy(fl, d, m, b1, b2, b3, empty)
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)
or(true, b) -> true
or(false, b) -> b

Strategy:

innermost

On this DP problem, an Instantiation SCC transformation can be performed.
As a result of transforming the rule

BUSY(B, closed, up, false, b2, b3, i) -> IDLE(BF, closed, up, false, b2, b3, i)

one new Dependency Pair is created:

BUSY(B, closed, up, false, b2'', b3'', empty) -> IDLE(BF, closed, up, false, b2'', b3'', empty)

The transformation is resulting in one new DP problem:

     ↳DPs

       →DP Problem 1

         ↳AFS

           →DP Problem 2

             ↳DGraph

...

               →DP Problem 16

                 ↳Instantiation Transformation

Dependency Pairs:

BUSY(B, closed, up, false, b2'', b3'', empty) -> IDLE(BF, closed, up, false, b2'', b3'', empty)
BUSY(F, closed, down, b1'', true, b3'', empty) -> IDLE(F, closed, stop, b1'', true, b3'', empty)
BUSY(F, closed, up, b1'', true, b3'', empty) -> IDLE(F, closed, stop, b1'', true, b3'', empty)
BUSY(B, closed, up, true, b2'', b3'', empty) -> IDLE(B, closed, stop, true, b2'', b3'', empty)
BUSY(S, closed, up, b1'', b2'', b3'', empty) -> IDLE(S, closed, stop, b1'', b2'', b3'', empty)
BUSY(B, closed, down, b1'', b2'', b3'', empty) -> IDLE(B, closed, stop, b1'', b2'', b3'', empty)
BUSY(S, d'', stop, b1'', b2'', true, empty) -> IDLE(S, open, stop, b1'', b2'', false, empty)
BUSY(F, d'', stop, b1'', true, b3'', empty) -> IDLE(F, open, stop, b1'', false, b3'', empty)
BUSY(B, d'', stop, true, b2'', b3'', empty) -> IDLE(B, open, stop, false, b2'', b3'', empty)
BUSY(S, open, stop, b1'', b2'', false, empty) -> IDLE(S, closed, stop, b1'', b2'', false, empty)
BUSY(F, open, stop, b1'', false, b3'', empty) -> IDLE(F, closed, stop, b1'', false, b3'', empty)
BUSY(B, open, stop, false, b2'', b3'', empty) -> IDLE(B, closed, stop, false, b2'', b3'', empty)
BUSY(S, closed, stop, true, false, false, i) -> IDLE(S, closed, down, true, false, false, i)
BUSY(S, closed, stop, b1, true, false, i) -> IDLE(S, closed, down, b1, true, false, i)
BUSY(F, closed, stop, false, false, true, i) -> IDLE(F, closed, up, false, false, true, i)
BUSY(F, closed, stop, true, false, b3, i) -> IDLE(F, closed, down, true, false, b3, i)
BUSY(B, closed, stop, false, false, true, i) -> IDLE(B, closed, up, false, false, true, i)
BUSY(B, closed, stop, false, true, b3, i) -> IDLE(B, closed, up, false, true, b3, i)
BUSY(FS, closed, down, b1, b2, b3, i) -> IDLE(F, closed, down, b1, b2, b3, i)
BUSY(FS, closed, up, b1, b2, b3, i) -> IDLE(S, closed, up, b1, b2, b3, i)
BUSY(BF, closed, down, b1, b2, b3, i) -> IDLE(B, closed, down, b1, b2, b3, i)
BUSY(BF, closed, up, b1, b2, b3, i) -> IDLE(F, closed, up, b1, b2, b3, i)
BUSY(S, closed, down, b1, b2, false, i) -> IDLE(FS, closed, down, b1, b2, false, i)
BUSY(F, closed, down, b1, false, b3, i) -> IDLE(BF, closed, down, b1, false, b3, i)
BUSY(F, closed, up, b1, false, b3, i) -> IDLE(FS, closed, up, b1, false, b3, i)
IDLE(fl, d, m, b1, b2, b3, empty) -> BUSY(fl, d, m, b1, b2, b3, empty)
BUSY(S, closed, down, b1'', b2'', true, empty) -> IDLE(S, closed, stop, b1'', b2'', true, empty)

Rules:

start(i) -> busy(F, closed, stop, false, false, false, i)
busy(BF, d, stop, b1, b2, b3, i) -> incorrect
busy(FS, d, stop, b1, b2, b3, i) -> incorrect
busy(fl, open, up, b1, b2, b3, i) -> incorrect
busy(fl, open, down, b1, b2, b3, i) -> incorrect
busy(B, closed, stop, false, false, false, empty) -> correct
busy(F, closed, stop, false, false, false, empty) -> correct
busy(S, closed, stop, false, false, false, empty) -> correct
busy(B, closed, stop, false, false, false, newbuttons(i1, i2, i3, i)) -> idle(B, closed, stop, false, false, false, newbuttons(i1, i2, i3, i))
busy(F, closed, stop, false, false, false, newbuttons(i1, i2, i3, i)) -> idle(F, closed, stop, false, false, false, newbuttons(i1, i2, i3, i))
busy(S, closed, stop, false, false, false, newbuttons(i1, i2, i3, i)) -> idle(S, closed, stop, false, false, false, newbuttons(i1, i2, i3, i))
busy(B, open, stop, false, b2, b3, i) -> idle(B, closed, stop, false, b2, b3, i)
busy(F, open, stop, b1, false, b3, i) -> idle(F, closed, stop, b1, false, b3, i)
busy(S, open, stop, b1, b2, false, i) -> idle(S, closed, stop, b1, b2, false, i)
busy(B, d, stop, true, b2, b3, i) -> idle(B, open, stop, false, b2, b3, i)
busy(F, d, stop, b1, true, b3, i) -> idle(F, open, stop, b1, false, b3, i)
busy(S, d, stop, b1, b2, true, i) -> idle(S, open, stop, b1, b2, false, i)
busy(B, closed, down, b1, b2, b3, i) -> idle(B, closed, stop, b1, b2, b3, i)
busy(S, closed, up, b1, b2, b3, i) -> idle(S, closed, stop, b1, b2, b3, i)
busy(B, closed, up, true, b2, b3, i) -> idle(B, closed, stop, true, b2, b3, i)
busy(F, closed, up, b1, true, b3, i) -> idle(F, closed, stop, b1, true, b3, i)
busy(F, closed, down, b1, true, b3, i) -> idle(F, closed, stop, b1, true, b3, i)
busy(S, closed, down, b1, b2, true, i) -> idle(S, closed, stop, b1, b2, true, i)
busy(B, closed, up, false, b2, b3, i) -> idle(BF, closed, up, false, b2, b3, i)
busy(F, closed, up, b1, false, b3, i) -> idle(FS, closed, up, b1, false, b3, i)
busy(F, closed, down, b1, false, b3, i) -> idle(BF, closed, down, b1, false, b3, i)
busy(S, closed, down, b1, b2, false, i) -> idle(FS, closed, down, b1, b2, false, i)
busy(BF, closed, up, b1, b2, b3, i) -> idle(F, closed, up, b1, b2, b3, i)
busy(BF, closed, down, b1, b2, b3, i) -> idle(B, closed, down, b1, b2, b3, i)
busy(FS, closed, up, b1, b2, b3, i) -> idle(S, closed, up, b1, b2, b3, i)
busy(FS, closed, down, b1, b2, b3, i) -> idle(F, closed, down, b1, b2, b3, i)
busy(B, closed, stop, false, true, b3, i) -> idle(B, closed, up, false, true, b3, i)
busy(B, closed, stop, false, false, true, i) -> idle(B, closed, up, false, false, true, i)
busy(F, closed, stop, true, false, b3, i) -> idle(F, closed, down, true, false, b3, i)
busy(F, closed, stop, false, false, true, i) -> idle(F, closed, up, false, false, true, i)
busy(S, closed, stop, b1, true, false, i) -> idle(S, closed, down, b1, true, false, i)
busy(S, closed, stop, true, false, false, i) -> idle(S, closed, down, true, false, false, i)
idle(fl, d, m, b1, b2, b3, empty) -> busy(fl, d, m, b1, b2, b3, empty)
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)
or(true, b) -> true
or(false, b) -> b

Strategy:

innermost

On this DP problem, an Instantiation SCC transformation can be performed.
As a result of transforming the rule

BUSY(F, closed, up, b1, false, b3, i) -> IDLE(FS, closed, up, b1, false, b3, i)

one new Dependency Pair is created:

BUSY(F, closed, up, b1'', false, b3'', empty) -> IDLE(FS, closed, up, b1'', false, b3'', empty)

The transformation is resulting in one new DP problem:

     ↳DPs

       →DP Problem 1

         ↳AFS

           →DP Problem 2

             ↳DGraph

...

               →DP Problem 17

                 ↳Instantiation Transformation

Dependency Pairs:

BUSY(F, closed, up, b1'', false, b3'', empty) -> IDLE(FS, closed, up, b1'', false, b3'', empty)
BUSY(S, closed, down, b1'', b2'', true, empty) -> IDLE(S, closed, stop, b1'', b2'', true, empty)
BUSY(F, closed, down, b1'', true, b3'', empty) -> IDLE(F, closed, stop, b1'', true, b3'', empty)
BUSY(F, closed, up, b1'', true, b3'', empty) -> IDLE(F, closed, stop, b1'', true, b3'', empty)
BUSY(B, closed, up, true, b2'', b3'', empty) -> IDLE(B, closed, stop, true, b2'', b3'', empty)
BUSY(S, closed, up, b1'', b2'', b3'', empty) -> IDLE(S, closed, stop, b1'', b2'', b3'', empty)
BUSY(B, closed, down, b1'', b2'', b3'', empty) -> IDLE(B, closed, stop, b1'', b2'', b3'', empty)
BUSY(S, d'', stop, b1'', b2'', true, empty) -> IDLE(S, open, stop, b1'', b2'', false, empty)
BUSY(F, d'', stop, b1'', true, b3'', empty) -> IDLE(F, open, stop, b1'', false, b3'', empty)
BUSY(B, d'', stop, true, b2'', b3'', empty) -> IDLE(B, open, stop, false, b2'', b3'', empty)
BUSY(S, open, stop, b1'', b2'', false, empty) -> IDLE(S, closed, stop, b1'', b2'', false, empty)
BUSY(F, open, stop, b1'', false, b3'', empty) -> IDLE(F, closed, stop, b1'', false, b3'', empty)
BUSY(B, open, stop, false, b2'', b3'', empty) -> IDLE(B, closed, stop, false, b2'', b3'', empty)
BUSY(S, closed, stop, true, false, false, i) -> IDLE(S, closed, down, true, false, false, i)
BUSY(S, closed, stop, b1, true, false, i) -> IDLE(S, closed, down, b1, true, false, i)
BUSY(F, closed, stop, false, false, true, i) -> IDLE(F, closed, up, false, false, true, i)
BUSY(F, closed, stop, true, false, b3, i) -> IDLE(F, closed, down, true, false, b3, i)
BUSY(B, closed, stop, false, false, true, i) -> IDLE(B, closed, up, false, false, true, i)
BUSY(B, closed, stop, false, true, b3, i) -> IDLE(B, closed, up, false, true, b3, i)
BUSY(FS, closed, down, b1, b2, b3, i) -> IDLE(F, closed, down, b1, b2, b3, i)
BUSY(FS, closed, up, b1, b2, b3, i) -> IDLE(S, closed, up, b1, b2, b3, i)
BUSY(BF, closed, down, b1, b2, b3, i) -> IDLE(B, closed, down, b1, b2, b3, i)
BUSY(BF, closed, up, b1, b2, b3, i) -> IDLE(F, closed, up, b1, b2, b3, i)
BUSY(S, closed, down, b1, b2, false, i) -> IDLE(FS, closed, down, b1, b2, false, i)
BUSY(F, closed, down, b1, false, b3, i) -> IDLE(BF, closed, down, b1, false, b3, i)
IDLE(fl, d, m, b1, b2, b3, empty) -> BUSY(fl, d, m, b1, b2, b3, empty)
BUSY(B, closed, up, false, b2'', b3'', empty) -> IDLE(BF, closed, up, false, b2'', b3'', empty)

Rules:

start(i) -> busy(F, closed, stop, false, false, false, i)
busy(BF, d, stop, b1, b2, b3, i) -> incorrect
busy(FS, d, stop, b1, b2, b3, i) -> incorrect
busy(fl, open, up, b1, b2, b3, i) -> incorrect
busy(fl, open, down, b1, b2, b3, i) -> incorrect
busy(B, closed, stop, false, false, false, empty) -> correct
busy(F, closed, stop, false, false, false, empty) -> correct
busy(S, closed, stop, false, false, false, empty) -> correct
busy(B, closed, stop, false, false, false, newbuttons(i1, i2, i3, i)) -> idle(B, closed, stop, false, false, false, newbuttons(i1, i2, i3, i))
busy(F, closed, stop, false, false, false, newbuttons(i1, i2, i3, i)) -> idle(F, closed, stop, false, false, false, newbuttons(i1, i2, i3, i))
busy(S, closed, stop, false, false, false, newbuttons(i1, i2, i3, i)) -> idle(S, closed, stop, false, false, false, newbuttons(i1, i2, i3, i))
busy(B, open, stop, false, b2, b3, i) -> idle(B, closed, stop, false, b2, b3, i)
busy(F, open, stop, b1, false, b3, i) -> idle(F, closed, stop, b1, false, b3, i)
busy(S, open, stop, b1, b2, false, i) -> idle(S, closed, stop, b1, b2, false, i)
busy(B, d, stop, true, b2, b3, i) -> idle(B, open, stop, false, b2, b3, i)
busy(F, d, stop, b1, true, b3, i) -> idle(F, open, stop, b1, false, b3, i)
busy(S, d, stop, b1, b2, true, i) -> idle(S, open, stop, b1, b2, false, i)
busy(B, closed, down, b1, b2, b3, i) -> idle(B, closed, stop, b1, b2, b3, i)
busy(S, closed, up, b1, b2, b3, i) -> idle(S, closed, stop, b1, b2, b3, i)
busy(B, closed, up, true, b2, b3, i) -> idle(B, closed, stop, true, b2, b3, i)
busy(F, closed, up, b1, true, b3, i) -> idle(F, closed, stop, b1, true, b3, i)
busy(F, closed, down, b1, true, b3, i) -> idle(F, closed, stop, b1, true, b3, i)
busy(S, closed, down, b1, b2, true, i) -> idle(S, closed, stop, b1, b2, true, i)
busy(B, closed, up, false, b2, b3, i) -> idle(BF, closed, up, false, b2, b3, i)
busy(F, closed, up, b1, false, b3, i) -> idle(FS, closed, up, b1, false, b3, i)
busy(F, closed, down, b1, false, b3, i) -> idle(BF, closed, down, b1, false, b3, i)
busy(S, closed, down, b1, b2, false, i) -> idle(FS, closed, down, b1, b2, false, i)
busy(BF, closed, up, b1, b2, b3, i) -> idle(F, closed, up, b1, b2, b3, i)
busy(BF, closed, down, b1, b2, b3, i) -> idle(B, closed, down, b1, b2, b3, i)
busy(FS, closed, up, b1, b2, b3, i) -> idle(S, closed, up, b1, b2, b3, i)
busy(FS, closed, down, b1, b2, b3, i) -> idle(F, closed, down, b1, b2, b3, i)
busy(B, closed, stop, false, true, b3, i) -> idle(B, closed, up, false, true, b3, i)
busy(B, closed, stop, false, false, true, i) -> idle(B, closed, up, false, false, true, i)
busy(F, closed, stop, true, false, b3, i) -> idle(F, closed, down, true, false, b3, i)
busy(F, closed, stop, false, false, true, i) -> idle(F, closed, up, false, false, true, i)
busy(S, closed, stop, b1, true, false, i) -> idle(S, closed, down, b1, true, false, i)
busy(S, closed, stop, true, false, false, i) -> idle(S, closed, down, true, false, false, i)
idle(fl, d, m, b1, b2, b3, empty) -> busy(fl, d, m, b1, b2, b3, empty)
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)
or(true, b) -> true
or(false, b) -> b

Strategy:

innermost

On this DP problem, an Instantiation SCC transformation can be performed.
As a result of transforming the rule

BUSY(F, closed, down, b1, false, b3, i) -> IDLE(BF, closed, down, b1, false, b3, i)

one new Dependency Pair is created:

BUSY(F, closed, down, b1'', false, b3'', empty) -> IDLE(BF, closed, down, b1'', false, b3'', empty)

The transformation is resulting in one new DP problem:

     ↳DPs

       →DP Problem 1

         ↳AFS

           →DP Problem 2

             ↳DGraph

...

               →DP Problem 18

                 ↳Instantiation Transformation

Dependency Pairs:

BUSY(F, closed, down, b1'', false, b3'', empty) -> IDLE(BF, closed, down, b1'', false, b3'', empty)
BUSY(B, closed, up, false, b2'', b3'', empty) -> IDLE(BF, closed, up, false, b2'', b3'', empty)
BUSY(S, closed, down, b1'', b2'', true, empty) -> IDLE(S, closed, stop, b1'', b2'', true, empty)
BUSY(F, closed, down, b1'', true, b3'', empty) -> IDLE(F, closed, stop, b1'', true, b3'', empty)
BUSY(F, closed, up, b1'', true, b3'', empty) -> IDLE(F, closed, stop, b1'', true, b3'', empty)
BUSY(B, closed, up, true, b2'', b3'', empty) -> IDLE(B, closed, stop, true, b2'', b3'', empty)
BUSY(S, closed, up, b1'', b2'', b3'', empty) -> IDLE(S, closed, stop, b1'', b2'', b3'', empty)
BUSY(B, closed, down, b1'', b2'', b3'', empty) -> IDLE(B, closed, stop, b1'', b2'', b3'', empty)
BUSY(S, d'', stop, b1'', b2'', true, empty) -> IDLE(S, open, stop, b1'', b2'', false, empty)
BUSY(F, d'', stop, b1'', true, b3'', empty) -> IDLE(F, open, stop, b1'', false, b3'', empty)
BUSY(B, d'', stop, true, b2'', b3'', empty) -> IDLE(B, open, stop, false, b2'', b3'', empty)
BUSY(S, open, stop, b1'', b2'', false, empty) -> IDLE(S, closed, stop, b1'', b2'', false, empty)
BUSY(F, open, stop, b1'', false, b3'', empty) -> IDLE(F, closed, stop, b1'', false, b3'', empty)
BUSY(B, open, stop, false, b2'', b3'', empty) -> IDLE(B, closed, stop, false, b2'', b3'', empty)
BUSY(S, closed, stop, true, false, false, i) -> IDLE(S, closed, down, true, false, false, i)
BUSY(S, closed, stop, b1, true, false, i) -> IDLE(S, closed, down, b1, true, false, i)
BUSY(F, closed, stop, false, false, true, i) -> IDLE(F, closed, up, false, false, true, i)
BUSY(F, closed, stop, true, false, b3, i) -> IDLE(F, closed, down, true, false, b3, i)
BUSY(B, closed, stop, false, false, true, i) -> IDLE(B, closed, up, false, false, true, i)
BUSY(B, closed, stop, false, true, b3, i) -> IDLE(B, closed, up, false, true, b3, i)
BUSY(FS, closed, down, b1, b2, b3, i) -> IDLE(F, closed, down, b1, b2, b3, i)
BUSY(FS, closed, up, b1, b2, b3, i) -> IDLE(S, closed, up, b1, b2, b3, i)
BUSY(BF, closed, down, b1, b2, b3, i) -> IDLE(B, closed, down, b1, b2, b3, i)
BUSY(BF, closed, up, b1, b2, b3, i) -> IDLE(F, closed, up, b1, b2, b3, i)
BUSY(S, closed, down, b1, b2, false, i) -> IDLE(FS, closed, down, b1, b2, false, i)
IDLE(fl, d, m, b1, b2, b3, empty) -> BUSY(fl, d, m, b1, b2, b3, empty)
BUSY(F, closed, up, b1'', false, b3'', empty) -> IDLE(FS, closed, up, b1'', false, b3'', empty)

Rules:

start(i) -> busy(F, closed, stop, false, false, false, i)
busy(BF, d, stop, b1, b2, b3, i) -> incorrect
busy(FS, d, stop, b1, b2, b3, i) -> incorrect
busy(fl, open, up, b1, b2, b3, i) -> incorrect
busy(fl, open, down, b1, b2, b3, i) -> incorrect
busy(B, closed, stop, false, false, false, empty) -> correct
busy(F, closed, stop, false, false, false, empty) -> correct
busy(S, closed, stop, false, false, false, empty) -> correct
busy(B, closed, stop, false, false, false, newbuttons(i1, i2, i3, i)) -> idle(B, closed, stop, false, false, false, newbuttons(i1, i2, i3, i))
busy(F, closed, stop, false, false, false, newbuttons(i1, i2, i3, i)) -> idle(F, closed, stop, false, false, false, newbuttons(i1, i2, i3, i))
busy(S, closed, stop, false, false, false, newbuttons(i1, i2, i3, i)) -> idle(S, closed, stop, false, false, false, newbuttons(i1, i2, i3, i))
busy(B, open, stop, false, b2, b3, i) -> idle(B, closed, stop, false, b2, b3, i)
busy(F, open, stop, b1, false, b3, i) -> idle(F, closed, stop, b1, false, b3, i)
busy(S, open, stop, b1, b2, false, i) -> idle(S, closed, stop, b1, b2, false, i)
busy(B, d, stop, true, b2, b3, i) -> idle(B, open, stop, false, b2, b3, i)
busy(F, d, stop, b1, true, b3, i) -> idle(F, open, stop, b1, false, b3, i)
busy(S, d, stop, b1, b2, true, i) -> idle(S, open, stop, b1, b2, false, i)
busy(B, closed, down, b1, b2, b3, i) -> idle(B, closed, stop, b1, b2, b3, i)
busy(S, closed, up, b1, b2, b3, i) -> idle(S, closed, stop, b1, b2, b3, i)
busy(B, closed, up, true, b2, b3, i) -> idle(B, closed, stop, true, b2, b3, i)
busy(F, closed, up, b1, true, b3, i) -> idle(F, closed, stop, b1, true, b3, i)
busy(F, closed, down, b1, true, b3, i) -> idle(F, closed, stop, b1, true, b3, i)
busy(S, closed, down, b1, b2, true, i) -> idle(S, closed, stop, b1, b2, true, i)
busy(B, closed, up, false, b2, b3, i) -> idle(BF, closed, up, false, b2, b3, i)
busy(F, closed, up, b1, false, b3, i) -> idle(FS, closed, up, b1, false, b3, i)
busy(F, closed, down, b1, false, b3, i) -> idle(BF, closed, down, b1, false, b3, i)
busy(S, closed, down, b1, b2, false, i) -> idle(FS, closed, down, b1, b2, false, i)
busy(BF, closed, up, b1, b2, b3, i) -> idle(F, closed, up, b1, b2, b3, i)
busy(BF, closed, down, b1, b2, b3, i) -> idle(B, closed, down, b1, b2, b3, i)
busy(FS, closed, up, b1, b2, b3, i) -> idle(S, closed, up, b1, b2, b3, i)
busy(FS, closed, down, b1, b2, b3, i) -> idle(F, closed, down, b1, b2, b3, i)
busy(B, closed, stop, false, true, b3, i) -> idle(B, closed, up, false, true, b3, i)
busy(B, closed, stop, false, false, true, i) -> idle(B, closed, up, false, false, true, i)
busy(F, closed, stop, true, false, b3, i) -> idle(F, closed, down, true, false, b3, i)
busy(F, closed, stop, false, false, true, i) -> idle(F, closed, up, false, false, true, i)
busy(S, closed, stop, b1, true, false, i) -> idle(S, closed, down, b1, true, false, i)
busy(S, closed, stop, true, false, false, i) -> idle(S, closed, down, true, false, false, i)
idle(fl, d, m, b1, b2, b3, empty) -> busy(fl, d, m, b1, b2, b3, empty)
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)
or(true, b) -> true
or(false, b) -> b

Strategy:

innermost

On this DP problem, an Instantiation SCC transformation can be performed.
As a result of transforming the rule

BUSY(S, closed, down, b1, b2, false, i) -> IDLE(FS, closed, down, b1, b2, false, i)

one new Dependency Pair is created:

BUSY(S, closed, down, b1'', b2'', false, empty) -> IDLE(FS, closed, down, b1'', b2'', false, empty)

The transformation is resulting in one new DP problem:

     ↳DPs

       →DP Problem 1

         ↳AFS

           →DP Problem 2

             ↳DGraph

...

               →DP Problem 19

                 ↳Instantiation Transformation

Dependency Pairs:

BUSY(S, closed, down, b1'', b2'', false, empty) -> IDLE(FS, closed, down, b1'', b2'', false, empty)
BUSY(F, closed, up, b1'', false, b3'', empty) -> IDLE(FS, closed, up, b1'', false, b3'', empty)
BUSY(B, closed, up, false, b2'', b3'', empty) -> IDLE(BF, closed, up, false, b2'', b3'', empty)
BUSY(S, closed, down, b1'', b2'', true, empty) -> IDLE(S, closed, stop, b1'', b2'', true, empty)
BUSY(F, closed, down, b1'', true, b3'', empty) -> IDLE(F, closed, stop, b1'', true, b3'', empty)
BUSY(F, closed, up, b1'', true, b3'', empty) -> IDLE(F, closed, stop, b1'', true, b3'', empty)
BUSY(B, closed, up, true, b2'', b3'', empty) -> IDLE(B, closed, stop, true, b2'', b3'', empty)
BUSY(S, closed, up, b1'', b2'', b3'', empty) -> IDLE(S, closed, stop, b1'', b2'', b3'', empty)
BUSY(B, closed, down, b1'', b2'', b3'', empty) -> IDLE(B, closed, stop, b1'', b2'', b3'', empty)
BUSY(S, d'', stop, b1'', b2'', true, empty) -> IDLE(S, open, stop, b1'', b2'', false, empty)
BUSY(F, d'', stop, b1'', true, b3'', empty) -> IDLE(F, open, stop, b1'', false, b3'', empty)
BUSY(B, d'', stop, true, b2'', b3'', empty) -> IDLE(B, open, stop, false, b2'', b3'', empty)
BUSY(S, open, stop, b1'', b2'', false, empty) -> IDLE(S, closed, stop, b1'', b2'', false, empty)
BUSY(F, open, stop, b1'', false, b3'', empty) -> IDLE(F, closed, stop, b1'', false, b3'', empty)
BUSY(B, open, stop, false, b2'', b3'', empty) -> IDLE(B, closed, stop, false, b2'', b3'', empty)
BUSY(S, closed, stop, true, false, false, i) -> IDLE(S, closed, down, true, false, false, i)
BUSY(S, closed, stop, b1, true, false, i) -> IDLE(S, closed, down, b1, true, false, i)
BUSY(F, closed, stop, false, false, true, i) -> IDLE(F, closed, up, false, false, true, i)
BUSY(F, closed, stop, true, false, b3, i) -> IDLE(F, closed, down, true, false, b3, i)
BUSY(B, closed, stop, false, false, true, i) -> IDLE(B, closed, up, false, false, true, i)
BUSY(B, closed, stop, false, true, b3, i) -> IDLE(B, closed, up, false, true, b3, i)
BUSY(FS, closed, down, b1, b2, b3, i) -> IDLE(F, closed, down, b1, b2, b3, i)
BUSY(FS, closed, up, b1, b2, b3, i) -> IDLE(S, closed, up, b1, b2, b3, i)
BUSY(BF, closed, down, b1, b2, b3, i) -> IDLE(B, closed, down, b1, b2, b3, i)
BUSY(BF, closed, up, b1, b2, b3, i) -> IDLE(F, closed, up, b1, b2, b3, i)
IDLE(fl, d, m, b1, b2, b3, empty) -> BUSY(fl, d, m, b1, b2, b3, empty)
BUSY(F, closed, down, b1'', false, b3'', empty) -> IDLE(BF, closed, down, b1'', false, b3'', empty)

Rules:

start(i) -> busy(F, closed, stop, false, false, false, i)
busy(BF, d, stop, b1, b2, b3, i) -> incorrect
busy(FS, d, stop, b1, b2, b3, i) -> incorrect
busy(fl, open, up, b1, b2, b3, i) -> incorrect
busy(fl, open, down, b1, b2, b3, i) -> incorrect
busy(B, closed, stop, false, false, false, empty) -> correct
busy(F, closed, stop, false, false, false, empty) -> correct
busy(S, closed, stop, false, false, false, empty) -> correct
busy(B, closed, stop, false, false, false, newbuttons(i1, i2, i3, i)) -> idle(B, closed, stop, false, false, false, newbuttons(i1, i2, i3, i))
busy(F, closed, stop, false, false, false, newbuttons(i1, i2, i3, i)) -> idle(F, closed, stop, false, false, false, newbuttons(i1, i2, i3, i))
busy(S, closed, stop, false, false, false, newbuttons(i1, i2, i3, i)) -> idle(S, closed, stop, false, false, false, newbuttons(i1, i2, i3, i))
busy(B, open, stop, false, b2, b3, i) -> idle(B, closed, stop, false, b2, b3, i)
busy(F, open, stop, b1, false, b3, i) -> idle(F, closed, stop, b1, false, b3, i)
busy(S, open, stop, b1, b2, false, i) -> idle(S, closed, stop, b1, b2, false, i)
busy(B, d, stop, true, b2, b3, i) -> idle(B, open, stop, false, b2, b3, i)
busy(F, d, stop, b1, true, b3, i) -> idle(F, open, stop, b1, false, b3, i)
busy(S, d, stop, b1, b2, true, i) -> idle(S, open, stop, b1, b2, false, i)
busy(B, closed, down, b1, b2, b3, i) -> idle(B, closed, stop, b1, b2, b3, i)
busy(S, closed, up, b1, b2, b3, i) -> idle(S, closed, stop, b1, b2, b3, i)
busy(B, closed, up, true, b2, b3, i) -> idle(B, closed, stop, true, b2, b3, i)
busy(F, closed, up, b1, true, b3, i) -> idle(F, closed, stop, b1, true, b3, i)
busy(F, closed, down, b1, true, b3, i) -> idle(F, closed, stop, b1, true, b3, i)
busy(S, closed, down, b1, b2, true, i) -> idle(S, closed, stop, b1, b2, true, i)
busy(B, closed, up, false, b2, b3, i) -> idle(BF, closed, up, false, b2, b3, i)
busy(F, closed, up, b1, false, b3, i) -> idle(FS, closed, up, b1, false, b3, i)
busy(F, closed, down, b1, false, b3, i) -> idle(BF, closed, down, b1, false, b3, i)
busy(S, closed, down, b1, b2, false, i) -> idle(FS, closed, down, b1, b2, false, i)
busy(BF, closed, up, b1, b2, b3, i) -> idle(F, closed, up, b1, b2, b3, i)
busy(BF, closed, down, b1, b2, b3, i) -> idle(B, closed, down, b1, b2, b3, i)
busy(FS, closed, up, b1, b2, b3, i) -> idle(S, closed, up, b1, b2, b3, i)
busy(FS, closed, down, b1, b2, b3, i) -> idle(F, closed, down, b1, b2, b3, i)
busy(B, closed, stop, false, true, b3, i) -> idle(B, closed, up, false, true, b3, i)
busy(B, closed, stop, false, false, true, i) -> idle(B, closed, up, false, false, true, i)
busy(F, closed, stop, true, false, b3, i) -> idle(F, closed, down, true, false, b3, i)
busy(F, closed, stop, false, false, true, i) -> idle(F, closed, up, false, false, true, i)
busy(S, closed, stop, b1, true, false, i) -> idle(S, closed, down, b1, true, false, i)
busy(S, closed, stop, true, false, false, i) -> idle(S, closed, down, true, false, false, i)
idle(fl, d, m, b1, b2, b3, empty) -> busy(fl, d, m, b1, b2, b3, empty)
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)
or(true, b) -> true
or(false, b) -> b

Strategy:

innermost

On this DP problem, an Instantiation SCC transformation can be performed.
As a result of transforming the rule

BUSY(BF, closed, up, b1, b2, b3, i) -> IDLE(F, closed, up, b1, b2, b3, i)

one new Dependency Pair is created:

BUSY(BF, closed, up, b1'', b2'', b3'', empty) -> IDLE(F, closed, up, b1'', b2'', b3'', empty)

The transformation is resulting in one new DP problem:

     ↳DPs

       →DP Problem 1

         ↳AFS

           →DP Problem 2

             ↳DGraph

...

               →DP Problem 20

                 ↳Instantiation Transformation

Dependency Pairs:

BUSY(BF, closed, up, b1'', b2'', b3'', empty) -> IDLE(F, closed, up, b1'', b2'', b3'', empty)
BUSY(F, closed, down, b1'', false, b3'', empty) -> IDLE(BF, closed, down, b1'', false, b3'', empty)
BUSY(F, closed, up, b1'', false, b3'', empty) -> IDLE(FS, closed, up, b1'', false, b3'', empty)
BUSY(B, closed, up, false, b2'', b3'', empty) -> IDLE(BF, closed, up, false, b2'', b3'', empty)
BUSY(S, closed, down, b1'', b2'', true, empty) -> IDLE(S, closed, stop, b1'', b2'', true, empty)
BUSY(F, closed, down, b1'', true, b3'', empty) -> IDLE(F, closed, stop, b1'', true, b3'', empty)
BUSY(F, closed, up, b1'', true, b3'', empty) -> IDLE(F, closed, stop, b1'', true, b3'', empty)
BUSY(B, closed, up, true, b2'', b3'', empty) -> IDLE(B, closed, stop, true, b2'', b3'', empty)
BUSY(S, closed, up, b1'', b2'', b3'', empty) -> IDLE(S, closed, stop, b1'', b2'', b3'', empty)
BUSY(B, closed, down, b1'', b2'', b3'', empty) -> IDLE(B, closed, stop, b1'', b2'', b3'', empty)
BUSY(S, d'', stop, b1'', b2'', true, empty) -> IDLE(S, open, stop, b1'', b2'', false, empty)
BUSY(F, d'', stop, b1'', true, b3'', empty) -> IDLE(F, open, stop, b1'', false, b3'', empty)
BUSY(B, d'', stop, true, b2'', b3'', empty) -> IDLE(B, open, stop, false, b2'', b3'', empty)
BUSY(S, open, stop, b1'', b2'', false, empty) -> IDLE(S, closed, stop, b1'', b2'', false, empty)
BUSY(F, open, stop, b1'', false, b3'', empty) -> IDLE(F, closed, stop, b1'', false, b3'', empty)
BUSY(B, open, stop, false, b2'', b3'', empty) -> IDLE(B, closed, stop, false, b2'', b3'', empty)
BUSY(S, closed, stop, true, false, false, i) -> IDLE(S, closed, down, true, false, false, i)
BUSY(S, closed, stop, b1, true, false, i) -> IDLE(S, closed, down, b1, true, false, i)
BUSY(F, closed, stop, false, false, true, i) -> IDLE(F, closed, up, false, false, true, i)
BUSY(F, closed, stop, true, false, b3, i) -> IDLE(F, closed, down, true, false, b3, i)
BUSY(B, closed, stop, false, false, true, i) -> IDLE(B, closed, up, false, false, true, i)
BUSY(B, closed, stop, false, true, b3, i) -> IDLE(B, closed, up, false, true, b3, i)
BUSY(FS, closed, down, b1, b2, b3, i) -> IDLE(F, closed, down, b1, b2, b3, i)
BUSY(FS, closed, up, b1, b2, b3, i) -> IDLE(S, closed, up, b1, b2, b3, i)
BUSY(BF, closed, down, b1, b2, b3, i) -> IDLE(B, closed, down, b1, b2, b3, i)
IDLE(fl, d, m, b1, b2, b3, empty) -> BUSY(fl, d, m, b1, b2, b3, empty)
BUSY(S, closed, down, b1'', b2'', false, empty) -> IDLE(FS, closed, down, b1'', b2'', false, empty)

Rules:

start(i) -> busy(F, closed, stop, false, false, false, i)
busy(BF, d, stop, b1, b2, b3, i) -> incorrect
busy(FS, d, stop, b1, b2, b3, i) -> incorrect
busy(fl, open, up, b1, b2, b3, i) -> incorrect
busy(fl, open, down, b1, b2, b3, i) -> incorrect
busy(B, closed, stop, false, false, false, empty) -> correct
busy(F, closed, stop, false, false, false, empty) -> correct
busy(S, closed, stop, false, false, false, empty) -> correct
busy(B, closed, stop, false, false, false, newbuttons(i1, i2, i3, i)) -> idle(B, closed, stop, false, false, false, newbuttons(i1, i2, i3, i))
busy(F, closed, stop, false, false, false, newbuttons(i1, i2, i3, i)) -> idle(F, closed, stop, false, false, false, newbuttons(i1, i2, i3, i))
busy(S, closed, stop, false, false, false, newbuttons(i1, i2, i3, i)) -> idle(S, closed, stop, false, false, false, newbuttons(i1, i2, i3, i))
busy(B, open, stop, false, b2, b3, i) -> idle(B, closed, stop, false, b2, b3, i)
busy(F, open, stop, b1, false, b3, i) -> idle(F, closed, stop, b1, false, b3, i)
busy(S, open, stop, b1, b2, false, i) -> idle(S, closed, stop, b1, b2, false, i)
busy(B, d, stop, true, b2, b3, i) -> idle(B, open, stop, false, b2, b3, i)
busy(F, d, stop, b1, true, b3, i) -> idle(F, open, stop, b1, false, b3, i)
busy(S, d, stop, b1, b2, true, i) -> idle(S, open, stop, b1, b2, false, i)
busy(B, closed, down, b1, b2, b3, i) -> idle(B, closed, stop, b1, b2, b3, i)
busy(S, closed, up, b1, b2, b3, i) -> idle(S, closed, stop, b1, b2, b3, i)
busy(B, closed, up, true, b2, b3, i) -> idle(B, closed, stop, true, b2, b3, i)
busy(F, closed, up, b1, true, b3, i) -> idle(F, closed, stop, b1, true, b3, i)
busy(F, closed, down, b1, true, b3, i) -> idle(F, closed, stop, b1, true, b3, i)
busy(S, closed, down, b1, b2, true, i) -> idle(S, closed, stop, b1, b2, true, i)
busy(B, closed, up, false, b2, b3, i) -> idle(BF, closed, up, false, b2, b3, i)
busy(F, closed, up, b1, false, b3, i) -> idle(FS, closed, up, b1, false, b3, i)
busy(F, closed, down, b1, false, b3, i) -> idle(BF, closed, down, b1, false, b3, i)
busy(S, closed, down, b1, b2, false, i) -> idle(FS, closed, down, b1, b2, false, i)
busy(BF, closed, up, b1, b2, b3, i) -> idle(F, closed, up, b1, b2, b3, i)
busy(BF, closed, down, b1, b2, b3, i) -> idle(B, closed, down, b1, b2, b3, i)
busy(FS, closed, up, b1, b2, b3, i) -> idle(S, closed, up, b1, b2, b3, i)
busy(FS, closed, down, b1, b2, b3, i) -> idle(F, closed, down, b1, b2, b3, i)
busy(B, closed, stop, false, true, b3, i) -> idle(B, closed, up, false, true, b3, i)
busy(B, closed, stop, false, false, true, i) -> idle(B, closed, up, false, false, true, i)
busy(F, closed, stop, true, false, b3, i) -> idle(F, closed, down, true, false, b3, i)
busy(F, closed, stop, false, false, true, i) -> idle(F, closed, up, false, false, true, i)
busy(S, closed, stop, b1, true, false, i) -> idle(S, closed, down, b1, true, false, i)
busy(S, closed, stop, true, false, false, i) -> idle(S, closed, down, true, false, false, i)
idle(fl, d, m, b1, b2, b3, empty) -> busy(fl, d, m, b1, b2, b3, empty)
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)
or(true, b) -> true
or(false, b) -> b

Strategy:

innermost

On this DP problem, an Instantiation SCC transformation can be performed.
As a result of transforming the rule

BUSY(BF, closed, down, b1, b2, b3, i) -> IDLE(B, closed, down, b1, b2, b3, i)

one new Dependency Pair is created:

BUSY(BF, closed, down, b1'', b2'', b3'', empty) -> IDLE(B, closed, down, b1'', b2'', b3'', empty)

The transformation is resulting in one new DP problem:

     ↳DPs

       →DP Problem 1

         ↳AFS

           →DP Problem 2

             ↳DGraph

...

               →DP Problem 21

                 ↳Instantiation Transformation

Dependency Pairs:

BUSY(BF, closed, down, b1'', b2'', b3'', empty) -> IDLE(B, closed, down, b1'', b2'', b3'', empty)
BUSY(S, closed, down, b1'', b2'', false, empty) -> IDLE(FS, closed, down, b1'', b2'', false, empty)
BUSY(F, closed, down, b1'', false, b3'', empty) -> IDLE(BF, closed, down, b1'', false, b3'', empty)
BUSY(F, closed, up, b1'', false, b3'', empty) -> IDLE(FS, closed, up, b1'', false, b3'', empty)
BUSY(B, closed, up, false, b2'', b3'', empty) -> IDLE(BF, closed, up, false, b2'', b3'', empty)
BUSY(S, closed, down, b1'', b2'', true, empty) -> IDLE(S, closed, stop, b1'', b2'', true, empty)
BUSY(F, closed, down, b1'', true, b3'', empty) -> IDLE(F, closed, stop, b1'', true, b3'', empty)
BUSY(F, closed, up, b1'', true, b3'', empty) -> IDLE(F, closed, stop, b1'', true, b3'', empty)
BUSY(B, closed, up, true, b2'', b3'', empty) -> IDLE(B, closed, stop, true, b2'', b3'', empty)
BUSY(S, closed, up, b1'', b2'', b3'', empty) -> IDLE(S, closed, stop, b1'', b2'', b3'', empty)
BUSY(B, closed, down, b1'', b2'', b3'', empty) -> IDLE(B, closed, stop, b1'', b2'', b3'', empty)
BUSY(S, d'', stop, b1'', b2'', true, empty) -> IDLE(S, open, stop, b1'', b2'', false, empty)
BUSY(F, d'', stop, b1'', true, b3'', empty) -> IDLE(F, open, stop, b1'', false, b3'', empty)
BUSY(B, d'', stop, true, b2'', b3'', empty) -> IDLE(B, open, stop, false, b2'', b3'', empty)
BUSY(S, open, stop, b1'', b2'', false, empty) -> IDLE(S, closed, stop, b1'', b2'', false, empty)
BUSY(F, open, stop, b1'', false, b3'', empty) -> IDLE(F, closed, stop, b1'', false, b3'', empty)
BUSY(B, open, stop, false, b2'', b3'', empty) -> IDLE(B, closed, stop, false, b2'', b3'', empty)
BUSY(S, closed, stop, true, false, false, i) -> IDLE(S, closed, down, true, false, false, i)
BUSY(S, closed, stop, b1, true, false, i) -> IDLE(S, closed, down, b1, true, false, i)
BUSY(F, closed, stop, false, false, true, i) -> IDLE(F, closed, up, false, false, true, i)
BUSY(F, closed, stop, true, false, b3, i) -> IDLE(F, closed, down, true, false, b3, i)
BUSY(B, closed, stop, false, false, true, i) -> IDLE(B, closed, up, false, false, true, i)
BUSY(B, closed, stop, false, true, b3, i) -> IDLE(B, closed, up, false, true, b3, i)
BUSY(FS, closed, down, b1, b2, b3, i) -> IDLE(F, closed, down, b1, b2, b3, i)
BUSY(FS, closed, up, b1, b2, b3, i) -> IDLE(S, closed, up, b1, b2, b3, i)
IDLE(fl, d, m, b1, b2, b3, empty) -> BUSY(fl, d, m, b1, b2, b3, empty)
BUSY(BF, closed, up, b1'', b2'', b3'', empty) -> IDLE(F, closed, up, b1'', b2'', b3'', empty)

Rules:

start(i) -> busy(F, closed, stop, false, false, false, i)
busy(BF, d, stop, b1, b2, b3, i) -> incorrect
busy(FS, d, stop, b1, b2, b3, i) -> incorrect
busy(fl, open, up, b1, b2, b3, i) -> incorrect
busy(fl, open, down, b1, b2, b3, i) -> incorrect
busy(B, closed, stop, false, false, false, empty) -> correct
busy(F, closed, stop, false, false, false, empty) -> correct
busy(S, closed, stop, false, false, false, empty) -> correct
busy(B, closed, stop, false, false, false, newbuttons(i1, i2, i3, i)) -> idle(B, closed, stop, false, false, false, newbuttons(i1, i2, i3, i))
busy(F, closed, stop, false, false, false, newbuttons(i1, i2, i3, i)) -> idle(F, closed, stop, false, false, false, newbuttons(i1, i2, i3, i))
busy(S, closed, stop, false, false, false, newbuttons(i1, i2, i3, i)) -> idle(S, closed, stop, false, false, false, newbuttons(i1, i2, i3, i))
busy(B, open, stop, false, b2, b3, i) -> idle(B, closed, stop, false, b2, b3, i)
busy(F, open, stop, b1, false, b3, i) -> idle(F, closed, stop, b1, false, b3, i)
busy(S, open, stop, b1, b2, false, i) -> idle(S, closed, stop, b1, b2, false, i)
busy(B, d, stop, true, b2, b3, i) -> idle(B, open, stop, false, b2, b3, i)
busy(F, d, stop, b1, true, b3, i) -> idle(F, open, stop, b1, false, b3, i)
busy(S, d, stop, b1, b2, true, i) -> idle(S, open, stop, b1, b2, false, i)
busy(B, closed, down, b1, b2, b3, i) -> idle(B, closed, stop, b1, b2, b3, i)
busy(S, closed, up, b1, b2, b3, i) -> idle(S, closed, stop, b1, b2, b3, i)
busy(B, closed, up, true, b2, b3, i) -> idle(B, closed, stop, true, b2, b3, i)
busy(F, closed, up, b1, true, b3, i) -> idle(F, closed, stop, b1, true, b3, i)
busy(F, closed, down, b1, true, b3, i) -> idle(F, closed, stop, b1, true, b3, i)
busy(S, closed, down, b1, b2, true, i) -> idle(S, closed, stop, b1, b2, true, i)
busy(B, closed, up, false, b2, b3, i) -> idle(BF, closed, up, false, b2, b3, i)
busy(F, closed, up, b1, false, b3, i) -> idle(FS, closed, up, b1, false, b3, i)
busy(F, closed, down, b1, false, b3, i) -> idle(BF, closed, down, b1, false, b3, i)
busy(S, closed, down, b1, b2, false, i) -> idle(FS, closed, down, b1, b2, false, i)
busy(BF, closed, up, b1, b2, b3, i) -> idle(F, closed, up, b1, b2, b3, i)
busy(BF, closed, down, b1, b2, b3, i) -> idle(B, closed, down, b1, b2, b3, i)
busy(FS, closed, up, b1, b2, b3, i) -> idle(S, closed, up, b1, b2, b3, i)
busy(FS, closed, down, b1, b2, b3, i) -> idle(F, closed, down, b1, b2, b3, i)
busy(B, closed, stop, false, true, b3, i) -> idle(B, closed, up, false, true, b3, i)
busy(B, closed, stop, false, false, true, i) -> idle(B, closed, up, false, false, true, i)
busy(F, closed, stop, true, false, b3, i) -> idle(F, closed, down, true, false, b3, i)
busy(F, closed, stop, false, false, true, i) -> idle(F, closed, up, false, false, true, i)
busy(S, closed, stop, b1, true, false, i) -> idle(S, closed, down, b1, true, false, i)
busy(S, closed, stop, true, false, false, i) -> idle(S, closed, down, true, false, false, i)
idle(fl, d, m, b1, b2, b3, empty) -> busy(fl, d, m, b1, b2, b3, empty)
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)
or(true, b) -> true
or(false, b) -> b

Strategy:

innermost

On this DP problem, an Instantiation SCC transformation can be performed.
As a result of transforming the rule

BUSY(FS, closed, up, b1, b2, b3, i) -> IDLE(S, closed, up, b1, b2, b3, i)

one new Dependency Pair is created:

BUSY(FS, closed, up, b1'', b2'', b3'', empty) -> IDLE(S, closed, up, b1'', b2'', b3'', empty)

The transformation is resulting in one new DP problem:

     ↳DPs

       →DP Problem 1

         ↳AFS

           →DP Problem 2

             ↳DGraph

...

               →DP Problem 22

                 ↳Instantiation Transformation

Dependency Pairs:

BUSY(FS, closed, up, b1'', b2'', b3'', empty) -> IDLE(S, closed, up, b1'', b2'', b3'', empty)
BUSY(BF, closed, up, b1'', b2'', b3'', empty) -> IDLE(F, closed, up, b1'', b2'', b3'', empty)
BUSY(S, closed, down, b1'', b2'', false, empty) -> IDLE(FS, closed, down, b1'', b2'', false, empty)
BUSY(F, closed, down, b1'', false, b3'', empty) -> IDLE(BF, closed, down, b1'', false, b3'', empty)
BUSY(F, closed, up, b1'', false, b3'', empty) -> IDLE(FS, closed, up, b1'', false, b3'', empty)
BUSY(B, closed, up, false, b2'', b3'', empty) -> IDLE(BF, closed, up, false, b2'', b3'', empty)
BUSY(S, closed, down, b1'', b2'', true, empty) -> IDLE(S, closed, stop, b1'', b2'', true, empty)
BUSY(F, closed, down, b1'', true, b3'', empty) -> IDLE(F, closed, stop, b1'', true, b3'', empty)
BUSY(F, closed, up, b1'', true, b3'', empty) -> IDLE(F, closed, stop, b1'', true, b3'', empty)
BUSY(B, closed, up, true, b2'', b3'', empty) -> IDLE(B, closed, stop, true, b2'', b3'', empty)
BUSY(S, closed, up, b1'', b2'', b3'', empty) -> IDLE(S, closed, stop, b1'', b2'', b3'', empty)
BUSY(B, closed, down, b1'', b2'', b3'', empty) -> IDLE(B, closed, stop, b1'', b2'', b3'', empty)
BUSY(S, d'', stop, b1'', b2'', true, empty) -> IDLE(S, open, stop, b1'', b2'', false, empty)
BUSY(F, d'', stop, b1'', true, b3'', empty) -> IDLE(F, open, stop, b1'', false, b3'', empty)
BUSY(B, d'', stop, true, b2'', b3'', empty) -> IDLE(B, open, stop, false, b2'', b3'', empty)
BUSY(S, open, stop, b1'', b2'', false, empty) -> IDLE(S, closed, stop, b1'', b2'', false, empty)
BUSY(F, open, stop, b1'', false, b3'', empty) -> IDLE(F, closed, stop, b1'', false, b3'', empty)
BUSY(B, open, stop, false, b2'', b3'', empty) -> IDLE(B, closed, stop, false, b2'', b3'', empty)
BUSY(S, closed, stop, true, false, false, i) -> IDLE(S, closed, down, true, false, false, i)
BUSY(S, closed, stop, b1, true, false, i) -> IDLE(S, closed, down, b1, true, false, i)
BUSY(F, closed, stop, false, false, true, i) -> IDLE(F, closed, up, false, false, true, i)
BUSY(F, closed, stop, true, false, b3, i) -> IDLE(F, closed, down, true, false, b3, i)
BUSY(B, closed, stop, false, false, true, i) -> IDLE(B, closed, up, false, false, true, i)
BUSY(B, closed, stop, false, true, b3, i) -> IDLE(B, closed, up, false, true, b3, i)
BUSY(FS, closed, down, b1, b2, b3, i) -> IDLE(F, closed, down, b1, b2, b3, i)
IDLE(fl, d, m, b1, b2, b3, empty) -> BUSY(fl, d, m, b1, b2, b3, empty)
BUSY(BF, closed, down, b1'', b2'', b3'', empty) -> IDLE(B, closed, down, b1'', b2'', b3'', empty)

Rules:

start(i) -> busy(F, closed, stop, false, false, false, i)
busy(BF, d, stop, b1, b2, b3, i) -> incorrect
busy(FS, d, stop, b1, b2, b3, i) -> incorrect
busy(fl, open, up, b1, b2, b3, i) -> incorrect
busy(fl, open, down, b1, b2, b3, i) -> incorrect
busy(B, closed, stop, false, false, false, empty) -> correct
busy(F, closed, stop, false, false, false, empty) -> correct
busy(S, closed, stop, false, false, false, empty) -> correct
busy(B, closed, stop, false, false, false, newbuttons(i1, i2, i3, i)) -> idle(B, closed, stop, false, false, false, newbuttons(i1, i2, i3, i))
busy(F, closed, stop, false, false, false, newbuttons(i1, i2, i3, i)) -> idle(F, closed, stop, false, false, false, newbuttons(i1, i2, i3, i))
busy(S, closed, stop, false, false, false, newbuttons(i1, i2, i3, i)) -> idle(S, closed, stop, false, false, false, newbuttons(i1, i2, i3, i))
busy(B, open, stop, false, b2, b3, i) -> idle(B, closed, stop, false, b2, b3, i)
busy(F, open, stop, b1, false, b3, i) -> idle(F, closed, stop, b1, false, b3, i)
busy(S, open, stop, b1, b2, false, i) -> idle(S, closed, stop, b1, b2, false, i)
busy(B, d, stop, true, b2, b3, i) -> idle(B, open, stop, false, b2, b3, i)
busy(F, d, stop, b1, true, b3, i) -> idle(F, open, stop, b1, false, b3, i)
busy(S, d, stop, b1, b2, true, i) -> idle(S, open, stop, b1, b2, false, i)
busy(B, closed, down, b1, b2, b3, i) -> idle(B, closed, stop, b1, b2, b3, i)
busy(S, closed, up, b1, b2, b3, i) -> idle(S, closed, stop, b1, b2, b3, i)
busy(B, closed, up, true, b2, b3, i) -> idle(B, closed, stop, true, b2, b3, i)
busy(F, closed, up, b1, true, b3, i) -> idle(F, closed, stop, b1, true, b3, i)
busy(F, closed, down, b1, true, b3, i) -> idle(F, closed, stop, b1, true, b3, i)
busy(S, closed, down, b1, b2, true, i) -> idle(S, closed, stop, b1, b2, true, i)
busy(B, closed, up, false, b2, b3, i) -> idle(BF, closed, up, false, b2, b3, i)
busy(F, closed, up, b1, false, b3, i) -> idle(FS, closed, up, b1, false, b3, i)
busy(F, closed, down, b1, false, b3, i) -> idle(BF, closed, down, b1, false, b3, i)
busy(S, closed, down, b1, b2, false, i) -> idle(FS, closed, down, b1, b2, false, i)
busy(BF, closed, up, b1, b2, b3, i) -> idle(F, closed, up, b1, b2, b3, i)
busy(BF, closed, down, b1, b2, b3, i) -> idle(B, closed, down, b1, b2, b3, i)
busy(FS, closed, up, b1, b2, b3, i) -> idle(S, closed, up, b1, b2, b3, i)
busy(FS, closed, down, b1, b2, b3, i) -> idle(F, closed, down, b1, b2, b3, i)
busy(B, closed, stop, false, true, b3, i) -> idle(B, closed, up, false, true, b3, i)
busy(B, closed, stop, false, false, true, i) -> idle(B, closed, up, false, false, true, i)
busy(F, closed, stop, true, false, b3, i) -> idle(F, closed, down, true, false, b3, i)
busy(F, closed, stop, false, false, true, i) -> idle(F, closed, up, false, false, true, i)
busy(S, closed, stop, b1, true, false, i) -> idle(S, closed, down, b1, true, false, i)
busy(S, closed, stop, true, false, false, i) -> idle(S, closed, down, true, false, false, i)
idle(fl, d, m, b1, b2, b3, empty) -> busy(fl, d, m, b1, b2, b3, empty)
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)
or(true, b) -> true
or(false, b) -> b

Strategy:

innermost

On this DP problem, an Instantiation SCC transformation can be performed.
As a result of transforming the rule

BUSY(FS, closed, down, b1, b2, b3, i) -> IDLE(F, closed, down, b1, b2, b3, i)

one new Dependency Pair is created:

BUSY(FS, closed, down, b1'', b2'', b3'', empty) -> IDLE(F, closed, down, b1'', b2'', b3'', empty)

The transformation is resulting in one new DP problem:

     ↳DPs

       →DP Problem 1

         ↳AFS

           →DP Problem 2

             ↳DGraph

...

               →DP Problem 23

                 ↳Instantiation Transformation

Dependency Pairs:

BUSY(FS, closed, down, b1'', b2'', b3'', empty) -> IDLE(F, closed, down, b1'', b2'', b3'', empty)
BUSY(BF, closed, down, b1'', b2'', b3'', empty) -> IDLE(B, closed, down, b1'', b2'', b3'', empty)
BUSY(BF, closed, up, b1'', b2'', b3'', empty) -> IDLE(F, closed, up, b1'', b2'', b3'', empty)
BUSY(S, closed, down, b1'', b2'', false, empty) -> IDLE(FS, closed, down, b1'', b2'', false, empty)
BUSY(F, closed, down, b1'', false, b3'', empty) -> IDLE(BF, closed, down, b1'', false, b3'', empty)
BUSY(F, closed, up, b1'', false, b3'', empty) -> IDLE(FS, closed, up, b1'', false, b3'', empty)
BUSY(B, closed, up, false, b2'', b3'', empty) -> IDLE(BF, closed, up, false, b2'', b3'', empty)
BUSY(S, closed, down, b1'', b2'', true, empty) -> IDLE(S, closed, stop, b1'', b2'', true, empty)
BUSY(F, closed, down, b1'', true, b3'', empty) -> IDLE(F, closed, stop, b1'', true, b3'', empty)
BUSY(F, closed, up, b1'', true, b3'', empty) -> IDLE(F, closed, stop, b1'', true, b3'', empty)
BUSY(B, closed, up, true, b2'', b3'', empty) -> IDLE(B, closed, stop, true, b2'', b3'', empty)
BUSY(S, closed, up, b1'', b2'', b3'', empty) -> IDLE(S, closed, stop, b1'', b2'', b3'', empty)
BUSY(B, closed, down, b1'', b2'', b3'', empty) -> IDLE(B, closed, stop, b1'', b2'', b3'', empty)
BUSY(S, d'', stop, b1'', b2'', true, empty) -> IDLE(S, open, stop, b1'', b2'', false, empty)
BUSY(F, d'', stop, b1'', true, b3'', empty) -> IDLE(F, open, stop, b1'', false, b3'', empty)
BUSY(B, d'', stop, true, b2'', b3'', empty) -> IDLE(B, open, stop, false, b2'', b3'', empty)
BUSY(S, open, stop, b1'', b2'', false, empty) -> IDLE(S, closed, stop, b1'', b2'', false, empty)
BUSY(F, open, stop, b1'', false, b3'', empty) -> IDLE(F, closed, stop, b1'', false, b3'', empty)
BUSY(B, open, stop, false, b2'', b3'', empty) -> IDLE(B, closed, stop, false, b2'', b3'', empty)
BUSY(S, closed, stop, true, false, false, i) -> IDLE(S, closed, down, true, false, false, i)
BUSY(S, closed, stop, b1, true, false, i) -> IDLE(S, closed, down, b1, true, false, i)
BUSY(F, closed, stop, false, false, true, i) -> IDLE(F, closed, up, false, false, true, i)
BUSY(F, closed, stop, true, false, b3, i) -> IDLE(F, closed, down, true, false, b3, i)
BUSY(B, closed, stop, false, false, true, i) -> IDLE(B, closed, up, false, false, true, i)
BUSY(B, closed, stop, false, true, b3, i) -> IDLE(B, closed, up, false, true, b3, i)
IDLE(fl, d, m, b1, b2, b3, empty) -> BUSY(fl, d, m, b1, b2, b3, empty)
BUSY(FS, closed, up, b1'', b2'', b3'', empty) -> IDLE(S, closed, up, b1'', b2'', b3'', empty)

Rules:

start(i) -> busy(F, closed, stop, false, false, false, i)
busy(BF, d, stop, b1, b2, b3, i) -> incorrect
busy(FS, d, stop, b1, b2, b3, i) -> incorrect
busy(fl, open, up, b1, b2, b3, i) -> incorrect
busy(fl, open, down, b1, b2, b3, i) -> incorrect
busy(B, closed, stop, false, false, false, empty) -> correct
busy(F, closed, stop, false, false, false, empty) -> correct
busy(S, closed, stop, false, false, false, empty) -> correct
busy(B, closed, stop, false, false, false, newbuttons(i1, i2, i3, i)) -> idle(B, closed, stop, false, false, false, newbuttons(i1, i2, i3, i))
busy(F, closed, stop, false, false, false, newbuttons(i1, i2, i3, i)) -> idle(F, closed, stop, false, false, false, newbuttons(i1, i2, i3, i))
busy(S, closed, stop, false, false, false, newbuttons(i1, i2, i3, i)) -> idle(S, closed, stop, false, false, false, newbuttons(i1, i2, i3, i))
busy(B, open, stop, false, b2, b3, i) -> idle(B, closed, stop, false, b2, b3, i)
busy(F, open, stop, b1, false, b3, i) -> idle(F, closed, stop, b1, false, b3, i)
busy(S, open, stop, b1, b2, false, i) -> idle(S, closed, stop, b1, b2, false, i)
busy(B, d, stop, true, b2, b3, i) -> idle(B, open, stop, false, b2, b3, i)
busy(F, d, stop, b1, true, b3, i) -> idle(F, open, stop, b1, false, b3, i)
busy(S, d, stop, b1, b2, true, i) -> idle(S, open, stop, b1, b2, false, i)
busy(B, closed, down, b1, b2, b3, i) -> idle(B, closed, stop, b1, b2, b3, i)
busy(S, closed, up, b1, b2, b3, i) -> idle(S, closed, stop, b1, b2, b3, i)
busy(B, closed, up, true, b2, b3, i) -> idle(B, closed, stop, true, b2, b3, i)
busy(F, closed, up, b1, true, b3, i) -> idle(F, closed, stop, b1, true, b3, i)
busy(F, closed, down, b1, true, b3, i) -> idle(F, closed, stop, b1, true, b3, i)
busy(S, closed, down, b1, b2, true, i) -> idle(S, closed, stop, b1, b2, true, i)
busy(B, closed, up, false, b2, b3, i) -> idle(BF, closed, up, false, b2, b3, i)
busy(F, closed, up, b1, false, b3, i) -> idle(FS, closed, up, b1, false, b3, i)
busy(F, closed, down, b1, false, b3, i) -> idle(BF, closed, down, b1, false, b3, i)
busy(S, closed, down, b1, b2, false, i) -> idle(FS, closed, down, b1, b2, false, i)
busy(BF, closed, up, b1, b2, b3, i) -> idle(F, closed, up, b1, b2, b3, i)
busy(BF, closed, down, b1, b2, b3, i) -> idle(B, closed, down, b1, b2, b3, i)
busy(FS, closed, up, b1, b2, b3, i) -> idle(S, closed, up, b1, b2, b3, i)
busy(FS, closed, down, b1, b2, b3, i) -> idle(F, closed, down, b1, b2, b3, i)
busy(B, closed, stop, false, true, b3, i) -> idle(B, closed, up, false, true, b3, i)
busy(B, closed, stop, false, false, true, i) -> idle(B, closed, up, false, false, true, i)
busy(F, closed, stop, true, false, b3, i) -> idle(F, closed, down, true, false, b3, i)
busy(F, closed, stop, false, false, true, i) -> idle(F, closed, up, false, false, true, i)
busy(S, closed, stop, b1, true, false, i) -> idle(S, closed, down, b1, true, false, i)
busy(S, closed, stop, true, false, false, i) -> idle(S, closed, down, true, false, false, i)
idle(fl, d, m, b1, b2, b3, empty) -> busy(fl, d, m, b1, b2, b3, empty)
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)
or(true, b) -> true
or(false, b) -> b

Strategy:

innermost

On this DP problem, an Instantiation SCC transformation can be performed.
As a result of transforming the rule

BUSY(B, closed, stop, false, true, b3, i) -> IDLE(B, closed, up, false, true, b3, i)

one new Dependency Pair is created:

BUSY(B, closed, stop, false, true, b3'', empty) -> IDLE(B, closed, up, false, true, b3'', empty)

The transformation is resulting in one new DP problem:

     ↳DPs

       →DP Problem 1

         ↳AFS

           →DP Problem 2

             ↳DGraph

...

               →DP Problem 24

                 ↳Instantiation Transformation

Dependency Pairs:

BUSY(B, closed, stop, false, true, b3'', empty) -> IDLE(B, closed, up, false, true, b3'', empty)
BUSY(FS, closed, up, b1'', b2'', b3'', empty) -> IDLE(S, closed, up, b1'', b2'', b3'', empty)
BUSY(BF, closed, down, b1'', b2'', b3'', empty) -> IDLE(B, closed, down, b1'', b2'', b3'', empty)
BUSY(BF, closed, up, b1'', b2'', b3'', empty) -> IDLE(F, closed, up, b1'', b2'', b3'', empty)
BUSY(S, closed, down, b1'', b2'', false, empty) -> IDLE(FS, closed, down, b1'', b2'', false, empty)
BUSY(F, closed, down, b1'', false, b3'', empty) -> IDLE(BF, closed, down, b1'', false, b3'', empty)
BUSY(F, closed, up, b1'', false, b3'', empty) -> IDLE(FS, closed, up, b1'', false, b3'', empty)
BUSY(B, closed, up, false, b2'', b3'', empty) -> IDLE(BF, closed, up, false, b2'', b3'', empty)
BUSY(S, closed, down, b1'', b2'', true, empty) -> IDLE(S, closed, stop, b1'', b2'', true, empty)
BUSY(F, closed, down, b1'', true, b3'', empty) -> IDLE(F, closed, stop, b1'', true, b3'', empty)
BUSY(F, closed, up, b1'', true, b3'', empty) -> IDLE(F, closed, stop, b1'', true, b3'', empty)
BUSY(B, closed, up, true, b2'', b3'', empty) -> IDLE(B, closed, stop, true, b2'', b3'', empty)
BUSY(S, closed, up, b1'', b2'', b3'', empty) -> IDLE(S, closed, stop, b1'', b2'', b3'', empty)
BUSY(B, closed, down, b1'', b2'', b3'', empty) -> IDLE(B, closed, stop, b1'', b2'', b3'', empty)
BUSY(S, d'', stop, b1'', b2'', true, empty) -> IDLE(S, open, stop, b1'', b2'', false, empty)
BUSY(F, d'', stop, b1'', true, b3'', empty) -> IDLE(F, open, stop, b1'', false, b3'', empty)
BUSY(B, d'', stop, true, b2'', b3'', empty) -> IDLE(B, open, stop, false, b2'', b3'', empty)
BUSY(S, open, stop, b1'', b2'', false, empty) -> IDLE(S, closed, stop, b1'', b2'', false, empty)
BUSY(F, open, stop, b1'', false, b3'', empty) -> IDLE(F, closed, stop, b1'', false, b3'', empty)
BUSY(B, open, stop, false, b2'', b3'', empty) -> IDLE(B, closed, stop, false, b2'', b3'', empty)
BUSY(S, closed, stop, true, false, false, i) -> IDLE(S, closed, down, true, false, false, i)
BUSY(S, closed, stop, b1, true, false, i) -> IDLE(S, closed, down, b1, true, false, i)
BUSY(F, closed, stop, false, false, true, i) -> IDLE(F, closed, up, false, false, true, i)
BUSY(F, closed, stop, true, false, b3, i) -> IDLE(F, closed, down, true, false, b3, i)
BUSY(B, closed, stop, false, false, true, i) -> IDLE(B, closed, up, false, false, true, i)
IDLE(fl, d, m, b1, b2, b3, empty) -> BUSY(fl, d, m, b1, b2, b3, empty)
BUSY(FS, closed, down, b1'', b2'', b3'', empty) -> IDLE(F, closed, down, b1'', b2'', b3'', empty)

Rules:

start(i) -> busy(F, closed, stop, false, false, false, i)
busy(BF, d, stop, b1, b2, b3, i) -> incorrect
busy(FS, d, stop, b1, b2, b3, i) -> incorrect
busy(fl, open, up, b1, b2, b3, i) -> incorrect
busy(fl, open, down, b1, b2, b3, i) -> incorrect
busy(B, closed, stop, false, false, false, empty) -> correct
busy(F, closed, stop, false, false, false, empty) -> correct
busy(S, closed, stop, false, false, false, empty) -> correct
busy(B, closed, stop, false, false, false, newbuttons(i1, i2, i3, i)) -> idle(B, closed, stop, false, false, false, newbuttons(i1, i2, i3, i))
busy(F, closed, stop, false, false, false, newbuttons(i1, i2, i3, i)) -> idle(F, closed, stop, false, false, false, newbuttons(i1, i2, i3, i))
busy(S, closed, stop, false, false, false, newbuttons(i1, i2, i3, i)) -> idle(S, closed, stop, false, false, false, newbuttons(i1, i2, i3, i))
busy(B, open, stop, false, b2, b3, i) -> idle(B, closed, stop, false, b2, b3, i)
busy(F, open, stop, b1, false, b3, i) -> idle(F, closed, stop, b1, false, b3, i)
busy(S, open, stop, b1, b2, false, i) -> idle(S, closed, stop, b1, b2, false, i)
busy(B, d, stop, true, b2, b3, i) -> idle(B, open, stop, false, b2, b3, i)
busy(F, d, stop, b1, true, b3, i) -> idle(F, open, stop, b1, false, b3, i)
busy(S, d, stop, b1, b2, true, i) -> idle(S, open, stop, b1, b2, false, i)
busy(B, closed, down, b1, b2, b3, i) -> idle(B, closed, stop, b1, b2, b3, i)
busy(S, closed, up, b1, b2, b3, i) -> idle(S, closed, stop, b1, b2, b3, i)
busy(B, closed, up, true, b2, b3, i) -> idle(B, closed, stop, true, b2, b3, i)
busy(F, closed, up, b1, true, b3, i) -> idle(F, closed, stop, b1, true, b3, i)
busy(F, closed, down, b1, true, b3, i) -> idle(F, closed, stop, b1, true, b3, i)
busy(S, closed, down, b1, b2, true, i) -> idle(S, closed, stop, b1, b2, true, i)
busy(B, closed, up, false, b2, b3, i) -> idle(BF, closed, up, false, b2, b3, i)
busy(F, closed, up, b1, false, b3, i) -> idle(FS, closed, up, b1, false, b3, i)
busy(F, closed, down, b1, false, b3, i) -> idle(BF, closed, down, b1, false, b3, i)
busy(S, closed, down, b1, b2, false, i) -> idle(FS, closed, down, b1, b2, false, i)
busy(BF, closed, up, b1, b2, b3, i) -> idle(F, closed, up, b1, b2, b3, i)
busy(BF, closed, down, b1, b2, b3, i) -> idle(B, closed, down, b1, b2, b3, i)
busy(FS, closed, up, b1, b2, b3, i) -> idle(S, closed, up, b1, b2, b3, i)
busy(FS, closed, down, b1, b2, b3, i) -> idle(F, closed, down, b1, b2, b3, i)
busy(B, closed, stop, false, true, b3, i) -> idle(B, closed, up, false, true, b3, i)
busy(B, closed, stop, false, false, true, i) -> idle(B, closed, up, false, false, true, i)
busy(F, closed, stop, true, false, b3, i) -> idle(F, closed, down, true, false, b3, i)
busy(F, closed, stop, false, false, true, i) -> idle(F, closed, up, false, false, true, i)
busy(S, closed, stop, b1, true, false, i) -> idle(S, closed, down, b1, true, false, i)
busy(S, closed, stop, true, false, false, i) -> idle(S, closed, down, true, false, false, i)
idle(fl, d, m, b1, b2, b3, empty) -> busy(fl, d, m, b1, b2, b3, empty)
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)
or(true, b) -> true
or(false, b) -> b

Strategy:

innermost

On this DP problem, an Instantiation SCC transformation can be performed.
As a result of transforming the rule

BUSY(B, closed, stop, false, false, true, i) -> IDLE(B, closed, up, false, false, true, i)

one new Dependency Pair is created:

BUSY(B, closed, stop, false, false, true, empty) -> IDLE(B, closed, up, false, false, true, empty)

The transformation is resulting in one new DP problem:

     ↳DPs

       →DP Problem 1

         ↳AFS

           →DP Problem 2

             ↳DGraph

...

               →DP Problem 25

                 ↳Instantiation Transformation

Dependency Pairs:

BUSY(B, closed, stop, false, false, true, empty) -> IDLE(B, closed, up, false, false, true, empty)
BUSY(FS, closed, down, b1'', b2'', b3'', empty) -> IDLE(F, closed, down, b1'', b2'', b3'', empty)
BUSY(FS, closed, up, b1'', b2'', b3'', empty) -> IDLE(S, closed, up, b1'', b2'', b3'', empty)
BUSY(BF, closed, down, b1'', b2'', b3'', empty) -> IDLE(B, closed, down, b1'', b2'', b3'', empty)
BUSY(BF, closed, up, b1'', b2'', b3'', empty) -> IDLE(F, closed, up, b1'', b2'', b3'', empty)
BUSY(S, closed, down, b1'', b2'', false, empty) -> IDLE(FS, closed, down, b1'', b2'', false, empty)
BUSY(F, closed, down, b1'', false, b3'', empty) -> IDLE(BF, closed, down, b1'', false, b3'', empty)
BUSY(F, closed, up, b1'', false, b3'', empty) -> IDLE(FS, closed, up, b1'', false, b3'', empty)
BUSY(B, closed, up, false, b2'', b3'', empty) -> IDLE(BF, closed, up, false, b2'', b3'', empty)
BUSY(S, closed, down, b1'', b2'', true, empty) -> IDLE(S, closed, stop, b1'', b2'', true, empty)
BUSY(F, closed, down, b1'', true, b3'', empty) -> IDLE(F, closed, stop, b1'', true, b3'', empty)
BUSY(F, closed, up, b1'', true, b3'', empty) -> IDLE(F, closed, stop, b1'', true, b3'', empty)
BUSY(B, closed, up, true, b2'', b3'', empty) -> IDLE(B, closed, stop, true, b2'', b3'', empty)
BUSY(S, closed, up, b1'', b2'', b3'', empty) -> IDLE(S, closed, stop, b1'', b2'', b3'', empty)
BUSY(B, closed, down, b1'', b2'', b3'', empty) -> IDLE(B, closed, stop, b1'', b2'', b3'', empty)
BUSY(S, d'', stop, b1'', b2'', true, empty) -> IDLE(S, open, stop, b1'', b2'', false, empty)
BUSY(F, d'', stop, b1'', true, b3'', empty) -> IDLE(F, open, stop, b1'', false, b3'', empty)
BUSY(B, d'', stop, true, b2'', b3'', empty) -> IDLE(B, open, stop, false, b2'', b3'', empty)
BUSY(S, open, stop, b1'', b2'', false, empty) -> IDLE(S, closed, stop, b1'', b2'', false, empty)
BUSY(F, open, stop, b1'', false, b3'', empty) -> IDLE(F, closed, stop, b1'', false, b3'', empty)
BUSY(B, open, stop, false, b2'', b3'', empty) -> IDLE(B, closed, stop, false, b2'', b3'', empty)
BUSY(S, closed, stop, true, false, false, i) -> IDLE(S, closed, down, true, false, false, i)
BUSY(S, closed, stop, b1, true, false, i) -> IDLE(S, closed, down, b1, true, false, i)
BUSY(F, closed, stop, false, false, true, i) -> IDLE(F, closed, up, false, false, true, i)
BUSY(F, closed, stop, true, false, b3, i) -> IDLE(F, closed, down, true, false, b3, i)
IDLE(fl, d, m, b1, b2, b3, empty) -> BUSY(fl, d, m, b1, b2, b3, empty)
BUSY(B, closed, stop, false, true, b3'', empty) -> IDLE(B, closed, up, false, true, b3'', empty)

Rules:

start(i) -> busy(F, closed, stop, false, false, false, i)
busy(BF, d, stop, b1, b2, b3, i) -> incorrect
busy(FS, d, stop, b1, b2, b3, i) -> incorrect
busy(fl, open, up, b1, b2, b3, i) -> incorrect
busy(fl, open, down, b1, b2, b3, i) -> incorrect
busy(B, closed, stop, false, false, false, empty) -> correct
busy(F, closed, stop, false, false, false, empty) -> correct
busy(S, closed, stop, false, false, false, empty) -> correct
busy(B, closed, stop, false, false, false, newbuttons(i1, i2, i3, i)) -> idle(B, closed, stop, false, false, false, newbuttons(i1, i2, i3, i))
busy(F, closed, stop, false, false, false, newbuttons(i1, i2, i3, i)) -> idle(F, closed, stop, false, false, false, newbuttons(i1, i2, i3, i))
busy(S, closed, stop, false, false, false, newbuttons(i1, i2, i3, i)) -> idle(S, closed, stop, false, false, false, newbuttons(i1, i2, i3, i))
busy(B, open, stop, false, b2, b3, i) -> idle(B, closed, stop, false, b2, b3, i)
busy(F, open, stop, b1, false, b3, i) -> idle(F, closed, stop, b1, false, b3, i)
busy(S, open, stop, b1, b2, false, i) -> idle(S, closed, stop, b1, b2, false, i)
busy(B, d, stop, true, b2, b3, i) -> idle(B, open, stop, false, b2, b3, i)
busy(F, d, stop, b1, true, b3, i) -> idle(F, open, stop, b1, false, b3, i)
busy(S, d, stop, b1, b2, true, i) -> idle(S, open, stop, b1, b2, false, i)
busy(B, closed, down, b1, b2, b3, i) -> idle(B, closed, stop, b1, b2, b3, i)
busy(S, closed, up, b1, b2, b3, i) -> idle(S, closed, stop, b1, b2, b3, i)
busy(B, closed, up, true, b2, b3, i) -> idle(B, closed, stop, true, b2, b3, i)
busy(F, closed, up, b1, true, b3, i) -> idle(F, closed, stop, b1, true, b3, i)
busy(F, closed, down, b1, true, b3, i) -> idle(F, closed, stop, b1, true, b3, i)
busy(S, closed, down, b1, b2, true, i) -> idle(S, closed, stop, b1, b2, true, i)
busy(B, closed, up, false, b2, b3, i) -> idle(BF, closed, up, false, b2, b3, i)
busy(F, closed, up, b1, false, b3, i) -> idle(FS, closed, up, b1, false, b3, i)
busy(F, closed, down, b1, false, b3, i) -> idle(BF, closed, down, b1, false, b3, i)
busy(S, closed, down, b1, b2, false, i) -> idle(FS, closed, down, b1, b2, false, i)
busy(BF, closed, up, b1, b2, b3, i) -> idle(F, closed, up, b1, b2, b3, i)
busy(BF, closed, down, b1, b2, b3, i) -> idle(B, closed, down, b1, b2, b3, i)
busy(FS, closed, up, b1, b2, b3, i) -> idle(S, closed, up, b1, b2, b3, i)
busy(FS, closed, down, b1, b2, b3, i) -> idle(F, closed, down, b1, b2, b3, i)
busy(B, closed, stop, false, true, b3, i) -> idle(B, closed, up, false, true, b3, i)
busy(B, closed, stop, false, false, true, i) -> idle(B, closed, up, false, false, true, i)
busy(F, closed, stop, true, false, b3, i) -> idle(F, closed, down, true, false, b3, i)
busy(F, closed, stop, false, false, true, i) -> idle(F, closed, up, false, false, true, i)
busy(S, closed, stop, b1, true, false, i) -> idle(S, closed, down, b1, true, false, i)
busy(S, closed, stop, true, false, false, i) -> idle(S, closed, down, true, false, false, i)
idle(fl, d, m, b1, b2, b3, empty) -> busy(fl, d, m, b1, b2, b3, empty)
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)
or(true, b) -> true
or(false, b) -> b

Strategy:

innermost

On this DP problem, an Instantiation SCC transformation can be performed.
As a result of transforming the rule

BUSY(F, closed, stop, true, false, b3, i) -> IDLE(F, closed, down, true, false, b3, i)

one new Dependency Pair is created:

BUSY(F, closed, stop, true, false, b3'', empty) -> IDLE(F, closed, down, true, false, b3'', empty)

The transformation is resulting in one new DP problem:

     ↳DPs

       →DP Problem 1

         ↳AFS

           →DP Problem 2

             ↳DGraph

...

               →DP Problem 26

                 ↳Instantiation Transformation

Dependency Pairs:

BUSY(F, closed, stop, true, false, b3'', empty) -> IDLE(F, closed, down, true, false, b3'', empty)
BUSY(B, closed, stop, false, true, b3'', empty) -> IDLE(B, closed, up, false, true, b3'', empty)
BUSY(FS, closed, down, b1'', b2'', b3'', empty) -> IDLE(F, closed, down, b1'', b2'', b3'', empty)
BUSY(FS, closed, up, b1'', b2'', b3'', empty) -> IDLE(S, closed, up, b1'', b2'', b3'', empty)
BUSY(BF, closed, down, b1'', b2'', b3'', empty) -> IDLE(B, closed, down, b1'', b2'', b3'', empty)
BUSY(BF, closed, up, b1'', b2'', b3'', empty) -> IDLE(F, closed, up, b1'', b2'', b3'', empty)
BUSY(S, closed, down, b1'', b2'', false, empty) -> IDLE(FS, closed, down, b1'', b2'', false, empty)
BUSY(F, closed, down, b1'', false, b3'', empty) -> IDLE(BF, closed, down, b1'', false, b3'', empty)
BUSY(F, closed, up, b1'', false, b3'', empty) -> IDLE(FS, closed, up, b1'', false, b3'', empty)
BUSY(B, closed, up, false, b2'', b3'', empty) -> IDLE(BF, closed, up, false, b2'', b3'', empty)
BUSY(S, closed, down, b1'', b2'', true, empty) -> IDLE(S, closed, stop, b1'', b2'', true, empty)
BUSY(F, closed, down, b1'', true, b3'', empty) -> IDLE(F, closed, stop, b1'', true, b3'', empty)
BUSY(F, closed, up, b1'', true, b3'', empty) -> IDLE(F, closed, stop, b1'', true, b3'', empty)
BUSY(B, closed, up, true, b2'', b3'', empty) -> IDLE(B, closed, stop, true, b2'', b3'', empty)
BUSY(S, closed, up, b1'', b2'', b3'', empty) -> IDLE(S, closed, stop, b1'', b2'', b3'', empty)
BUSY(B, closed, down, b1'', b2'', b3'', empty) -> IDLE(B, closed, stop, b1'', b2'', b3'', empty)
BUSY(S, d'', stop, b1'', b2'', true, empty) -> IDLE(S, open, stop, b1'', b2'', false, empty)
BUSY(F, d'', stop, b1'', true, b3'', empty) -> IDLE(F, open, stop, b1'', false, b3'', empty)
BUSY(B, d'', stop, true, b2'', b3'', empty) -> IDLE(B, open, stop, false, b2'', b3'', empty)
BUSY(S, open, stop, b1'', b2'', false, empty) -> IDLE(S, closed, stop, b1'', b2'', false, empty)
BUSY(F, open, stop, b1'', false, b3'', empty) -> IDLE(F, closed, stop, b1'', false, b3'', empty)
BUSY(B, open, stop, false, b2'', b3'', empty) -> IDLE(B, closed, stop, false, b2'', b3'', empty)
BUSY(S, closed, stop, true, false, false, i) -> IDLE(S, closed, down, true, false, false, i)
BUSY(S, closed, stop, b1, true, false, i) -> IDLE(S, closed, down, b1, true, false, i)
BUSY(F, closed, stop, false, false, true, i) -> IDLE(F, closed, up, false, false, true, i)
IDLE(fl, d, m, b1, b2, b3, empty) -> BUSY(fl, d, m, b1, b2, b3, empty)
BUSY(B, closed, stop, false, false, true, empty) -> IDLE(B, closed, up, false, false, true, empty)

Rules:

start(i) -> busy(F, closed, stop, false, false, false, i)
busy(BF, d, stop, b1, b2, b3, i) -> incorrect
busy(FS, d, stop, b1, b2, b3, i) -> incorrect
busy(fl, open, up, b1, b2, b3, i) -> incorrect
busy(fl, open, down, b1, b2, b3, i) -> incorrect
busy(B, closed, stop, false, false, false, empty) -> correct
busy(F, closed, stop, false, false, false, empty) -> correct
busy(S, closed, stop, false, false, false, empty) -> correct
busy(B, closed, stop, false, false, false, newbuttons(i1, i2, i3, i)) -> idle(B, closed, stop, false, false, false, newbuttons(i1, i2, i3, i))
busy(F, closed, stop, false, false, false, newbuttons(i1, i2, i3, i)) -> idle(F, closed, stop, false, false, false, newbuttons(i1, i2, i3, i))
busy(S, closed, stop, false, false, false, newbuttons(i1, i2, i3, i)) -> idle(S, closed, stop, false, false, false, newbuttons(i1, i2, i3, i))
busy(B, open, stop, false, b2, b3, i) -> idle(B, closed, stop, false, b2, b3, i)
busy(F, open, stop, b1, false, b3, i) -> idle(F, closed, stop, b1, false, b3, i)
busy(S, open, stop, b1, b2, false, i) -> idle(S, closed, stop, b1, b2, false, i)
busy(B, d, stop, true, b2, b3, i) -> idle(B, open, stop, false, b2, b3, i)
busy(F, d, stop, b1, true, b3, i) -> idle(F, open, stop, b1, false, b3, i)
busy(S, d, stop, b1, b2, true, i) -> idle(S, open, stop, b1, b2, false, i)
busy(B, closed, down, b1, b2, b3, i) -> idle(B, closed, stop, b1, b2, b3, i)
busy(S, closed, up, b1, b2, b3, i) -> idle(S, closed, stop, b1, b2, b3, i)
busy(B, closed, up, true, b2, b3, i) -> idle(B, closed, stop, true, b2, b3, i)
busy(F, closed, up, b1, true, b3, i) -> idle(F, closed, stop, b1, true, b3, i)
busy(F, closed, down, b1, true, b3, i) -> idle(F, closed, stop, b1, true, b3, i)
busy(S, closed, down, b1, b2, true, i) -> idle(S, closed, stop, b1, b2, true, i)
busy(B, closed, up, false, b2, b3, i) -> idle(BF, closed, up, false, b2, b3, i)
busy(F, closed, up, b1, false, b3, i) -> idle(FS, closed, up, b1, false, b3, i)
busy(F, closed, down, b1, false, b3, i) -> idle(BF, closed, down, b1, false, b3, i)
busy(S, closed, down, b1, b2, false, i) -> idle(FS, closed, down, b1, b2, false, i)
busy(BF, closed, up, b1, b2, b3, i) -> idle(F, closed, up, b1, b2, b3, i)
busy(BF, closed, down, b1, b2, b3, i) -> idle(B, closed, down, b1, b2, b3, i)
busy(FS, closed, up, b1, b2, b3, i) -> idle(S, closed, up, b1, b2, b3, i)
busy(FS, closed, down, b1, b2, b3, i) -> idle(F, closed, down, b1, b2, b3, i)
busy(B, closed, stop, false, true, b3, i) -> idle(B, closed, up, false, true, b3, i)
busy(B, closed, stop, false, false, true, i) -> idle(B, closed, up, false, false, true, i)
busy(F, closed, stop, true, false, b3, i) -> idle(F, closed, down, true, false, b3, i)
busy(F, closed, stop, false, false, true, i) -> idle(F, closed, up, false, false, true, i)
busy(S, closed, stop, b1, true, false, i) -> idle(S, closed, down, b1, true, false, i)
busy(S, closed, stop, true, false, false, i) -> idle(S, closed, down, true, false, false, i)
idle(fl, d, m, b1, b2, b3, empty) -> busy(fl, d, m, b1, b2, b3, empty)
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)
or(true, b) -> true
or(false, b) -> b

Strategy:

innermost

On this DP problem, an Instantiation SCC transformation can be performed.
As a result of transforming the rule

BUSY(F, closed, stop, false, false, true, i) -> IDLE(F, closed, up, false, false, true, i)

one new Dependency Pair is created:

BUSY(F, closed, stop, false, false, true, empty) -> IDLE(F, closed, up, false, false, true, empty)

The transformation is resulting in one new DP problem:

     ↳DPs

       →DP Problem 1

         ↳AFS

           →DP Problem 2

             ↳DGraph

...

               →DP Problem 27

                 ↳Instantiation Transformation

Dependency Pairs:

BUSY(F, closed, stop, false, false, true, empty) -> IDLE(F, closed, up, false, false, true, empty)
BUSY(B, closed, stop, false, false, true, empty) -> IDLE(B, closed, up, false, false, true, empty)
BUSY(B, closed, stop, false, true, b3'', empty) -> IDLE(B, closed, up, false, true, b3'', empty)
BUSY(FS, closed, down, b1'', b2'', b3'', empty) -> IDLE(F, closed, down, b1'', b2'', b3'', empty)
BUSY(FS, closed, up, b1'', b2'', b3'', empty) -> IDLE(S, closed, up, b1'', b2'', b3'', empty)
BUSY(BF, closed, down, b1'', b2'', b3'', empty) -> IDLE(B, closed, down, b1'', b2'', b3'', empty)
BUSY(BF, closed, up, b1'', b2'', b3'', empty) -> IDLE(F, closed, up, b1'', b2'', b3'', empty)
BUSY(S, closed, down, b1'', b2'', false, empty) -> IDLE(FS, closed, down, b1'', b2'', false, empty)
BUSY(F, closed, down, b1'', false, b3'', empty) -> IDLE(BF, closed, down, b1'', false, b3'', empty)
BUSY(F, closed, up, b1'', false, b3'', empty) -> IDLE(FS, closed, up, b1'', false, b3'', empty)
BUSY(B, closed, up, false, b2'', b3'', empty) -> IDLE(BF, closed, up, false, b2'', b3'', empty)
BUSY(S, closed, down, b1'', b2'', true, empty) -> IDLE(S, closed, stop, b1'', b2'', true, empty)
BUSY(F, closed, down, b1'', true, b3'', empty) -> IDLE(F, closed, stop, b1'', true, b3'', empty)
BUSY(F, closed, up, b1'', true, b3'', empty) -> IDLE(F, closed, stop, b1'', true, b3'', empty)
BUSY(B, closed, up, true, b2'', b3'', empty) -> IDLE(B, closed, stop, true, b2'', b3'', empty)
BUSY(S, closed, up, b1'', b2'', b3'', empty) -> IDLE(S, closed, stop, b1'', b2'', b3'', empty)
BUSY(B, closed, down, b1'', b2'', b3'', empty) -> IDLE(B, closed, stop, b1'', b2'', b3'', empty)
BUSY(S, d'', stop, b1'', b2'', true, empty) -> IDLE(S, open, stop, b1'', b2'', false, empty)
BUSY(F, d'', stop, b1'', true, b3'', empty) -> IDLE(F, open, stop, b1'', false, b3'', empty)
BUSY(B, d'', stop, true, b2'', b3'', empty) -> IDLE(B, open, stop, false, b2'', b3'', empty)
BUSY(S, open, stop, b1'', b2'', false, empty) -> IDLE(S, closed, stop, b1'', b2'', false, empty)
BUSY(F, open, stop, b1'', false, b3'', empty) -> IDLE(F, closed, stop, b1'', false, b3'', empty)
BUSY(B, open, stop, false, b2'', b3'', empty) -> IDLE(B, closed, stop, false, b2'', b3'', empty)
BUSY(S, closed, stop, true, false, false, i) -> IDLE(S, closed, down, true, false, false, i)
BUSY(S, closed, stop, b1, true, false, i) -> IDLE(S, closed, down, b1, true, false, i)
IDLE(fl, d, m, b1, b2, b3, empty) -> BUSY(fl, d, m, b1, b2, b3, empty)
BUSY(F, closed, stop, true, false, b3'', empty) -> IDLE(F, closed, down, true, false, b3'', empty)

Rules:

start(i) -> busy(F, closed, stop, false, false, false, i)
busy(BF, d, stop, b1, b2, b3, i) -> incorrect
busy(FS, d, stop, b1, b2, b3, i) -> incorrect
busy(fl, open, up, b1, b2, b3, i) -> incorrect
busy(fl, open, down, b1, b2, b3, i) -> incorrect
busy(B, closed, stop, false, false, false, empty) -> correct
busy(F, closed, stop, false, false, false, empty) -> correct
busy(S, closed, stop, false, false, false, empty) -> correct
busy(B, closed, stop, false, false, false, newbuttons(i1, i2, i3, i)) -> idle(B, closed, stop, false, false, false, newbuttons(i1, i2, i3, i))
busy(F, closed, stop, false, false, false, newbuttons(i1, i2, i3, i)) -> idle(F, closed, stop, false, false, false, newbuttons(i1, i2, i3, i))
busy(S, closed, stop, false, false, false, newbuttons(i1, i2, i3, i)) -> idle(S, closed, stop, false, false, false, newbuttons(i1, i2, i3, i))
busy(B, open, stop, false, b2, b3, i) -> idle(B, closed, stop, false, b2, b3, i)
busy(F, open, stop, b1, false, b3, i) -> idle(F, closed, stop, b1, false, b3, i)
busy(S, open, stop, b1, b2, false, i) -> idle(S, closed, stop, b1, b2, false, i)
busy(B, d, stop, true, b2, b3, i) -> idle(B, open, stop, false, b2, b3, i)
busy(F, d, stop, b1, true, b3, i) -> idle(F, open, stop, b1, false, b3, i)
busy(S, d, stop, b1, b2, true, i) -> idle(S, open, stop, b1, b2, false, i)
busy(B, closed, down, b1, b2, b3, i) -> idle(B, closed, stop, b1, b2, b3, i)
busy(S, closed, up, b1, b2, b3, i) -> idle(S, closed, stop, b1, b2, b3, i)
busy(B, closed, up, true, b2, b3, i) -> idle(B, closed, stop, true, b2, b3, i)
busy(F, closed, up, b1, true, b3, i) -> idle(F, closed, stop, b1, true, b3, i)
busy(F, closed, down, b1, true, b3, i) -> idle(F, closed, stop, b1, true, b3, i)
busy(S, closed, down, b1, b2, true, i) -> idle(S, closed, stop, b1, b2, true, i)
busy(B, closed, up, false, b2, b3, i) -> idle(BF, closed, up, false, b2, b3, i)
busy(F, closed, up, b1, false, b3, i) -> idle(FS, closed, up, b1, false, b3, i)
busy(F, closed, down, b1, false, b3, i) -> idle(BF, closed, down, b1, false, b3, i)
busy(S, closed, down, b1, b2, false, i) -> idle(FS, closed, down, b1, b2, false, i)
busy(BF, closed, up, b1, b2, b3, i) -> idle(F, closed, up, b1, b2, b3, i)
busy(BF, closed, down, b1, b2, b3, i) -> idle(B, closed, down, b1, b2, b3, i)
busy(FS, closed, up, b1, b2, b3, i) -> idle(S, closed, up, b1, b2, b3, i)
busy(FS, closed, down, b1, b2, b3, i) -> idle(F, closed, down, b1, b2, b3, i)
busy(B, closed, stop, false, true, b3, i) -> idle(B, closed, up, false, true, b3, i)
busy(B, closed, stop, false, false, true, i) -> idle(B, closed, up, false, false, true, i)
busy(F, closed, stop, true, false, b3, i) -> idle(F, closed, down, true, false, b3, i)
busy(F, closed, stop, false, false, true, i) -> idle(F, closed, up, false, false, true, i)
busy(S, closed, stop, b1, true, false, i) -> idle(S, closed, down, b1, true, false, i)
busy(S, closed, stop, true, false, false, i) -> idle(S, closed, down, true, false, false, i)
idle(fl, d, m, b1, b2, b3, empty) -> busy(fl, d, m, b1, b2, b3, empty)
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)
or(true, b) -> true
or(false, b) -> b

Strategy:

innermost

On this DP problem, an Instantiation SCC transformation can be performed.
As a result of transforming the rule

BUSY(S, closed, stop, b1, true, false, i) -> IDLE(S, closed, down, b1, true, false, i)

one new Dependency Pair is created:

BUSY(S, closed, stop, b1'', true, false, empty) -> IDLE(S, closed, down, b1'', true, false, empty)

The transformation is resulting in one new DP problem:

     ↳DPs

       →DP Problem 1

         ↳AFS

           →DP Problem 2

             ↳DGraph

...

               →DP Problem 28

                 ↳Instantiation Transformation

Dependency Pairs:

BUSY(S, closed, stop, b1'', true, false, empty) -> IDLE(S, closed, down, b1'', true, false, empty)
BUSY(F, closed, stop, true, false, b3'', empty) -> IDLE(F, closed, down, true, false, b3'', empty)
BUSY(B, closed, stop, false, false, true, empty) -> IDLE(B, closed, up, false, false, true, empty)
BUSY(B, closed, stop, false, true, b3'', empty) -> IDLE(B, closed, up, false, true, b3'', empty)
BUSY(FS, closed, down, b1'', b2'', b3'', empty) -> IDLE(F, closed, down, b1'', b2'', b3'', empty)
BUSY(FS, closed, up, b1'', b2'', b3'', empty) -> IDLE(S, closed, up, b1'', b2'', b3'', empty)
BUSY(BF, closed, down, b1'', b2'', b3'', empty) -> IDLE(B, closed, down, b1'', b2'', b3'', empty)
BUSY(BF, closed, up, b1'', b2'', b3'', empty) -> IDLE(F, closed, up, b1'', b2'', b3'', empty)
BUSY(S, closed, down, b1'', b2'', false, empty) -> IDLE(FS, closed, down, b1'', b2'', false, empty)
BUSY(F, closed, down, b1'', false, b3'', empty) -> IDLE(BF, closed, down, b1'', false, b3'', empty)
BUSY(F, closed, up, b1'', false, b3'', empty) -> IDLE(FS, closed, up, b1'', false, b3'', empty)
BUSY(B, closed, up, false, b2'', b3'', empty) -> IDLE(BF, closed, up, false, b2'', b3'', empty)
BUSY(S, closed, down, b1'', b2'', true, empty) -> IDLE(S, closed, stop, b1'', b2'', true, empty)
BUSY(F, closed, down, b1'', true, b3'', empty) -> IDLE(F, closed, stop, b1'', true, b3'', empty)
BUSY(F, closed, up, b1'', true, b3'', empty) -> IDLE(F, closed, stop, b1'', true, b3'', empty)
BUSY(B, closed, up, true, b2'', b3'', empty) -> IDLE(B, closed, stop, true, b2'', b3'', empty)
BUSY(S, closed, up, b1'', b2'', b3'', empty) -> IDLE(S, closed, stop, b1'', b2'', b3'', empty)
BUSY(B, closed, down, b1'', b2'', b3'', empty) -> IDLE(B, closed, stop, b1'', b2'', b3'', empty)
BUSY(S, d'', stop, b1'', b2'', true, empty) -> IDLE(S, open, stop, b1'', b2'', false, empty)
BUSY(F, d'', stop, b1'', true, b3'', empty) -> IDLE(F, open, stop, b1'', false, b3'', empty)
BUSY(B, d'', stop, true, b2'', b3'', empty) -> IDLE(B, open, stop, false, b2'', b3'', empty)
BUSY(S, open, stop, b1'', b2'', false, empty) -> IDLE(S, closed, stop, b1'', b2'', false, empty)
BUSY(F, open, stop, b1'', false, b3'', empty) -> IDLE(F, closed, stop, b1'', false, b3'', empty)
BUSY(B, open, stop, false, b2'', b3'', empty) -> IDLE(B, closed, stop, false, b2'', b3'', empty)
BUSY(S, closed, stop, true, false, false, i) -> IDLE(S, closed, down, true, false, false, i)
IDLE(fl, d, m, b1, b2, b3, empty) -> BUSY(fl, d, m, b1, b2, b3, empty)
BUSY(F, closed, stop, false, false, true, empty) -> IDLE(F, closed, up, false, false, true, empty)

Rules:

start(i) -> busy(F, closed, stop, false, false, false, i)
busy(BF, d, stop, b1, b2, b3, i) -> incorrect
busy(FS, d, stop, b1, b2, b3, i) -> incorrect
busy(fl, open, up, b1, b2, b3, i) -> incorrect
busy(fl, open, down, b1, b2, b3, i) -> incorrect
busy(B, closed, stop, false, false, false, empty) -> correct
busy(F, closed, stop, false, false, false, empty) -> correct
busy(S, closed, stop, false, false, false, empty) -> correct
busy(B, closed, stop, false, false, false, newbuttons(i1, i2, i3, i)) -> idle(B, closed, stop, false, false, false, newbuttons(i1, i2, i3, i))
busy(F, closed, stop, false, false, false, newbuttons(i1, i2, i3, i)) -> idle(F, closed, stop, false, false, false, newbuttons(i1, i2, i3, i))
busy(S, closed, stop, false, false, false, newbuttons(i1, i2, i3, i)) -> idle(S, closed, stop, false, false, false, newbuttons(i1, i2, i3, i))
busy(B, open, stop, false, b2, b3, i) -> idle(B, closed, stop, false, b2, b3, i)
busy(F, open, stop, b1, false, b3, i) -> idle(F, closed, stop, b1, false, b3, i)
busy(S, open, stop, b1, b2, false, i) -> idle(S, closed, stop, b1, b2, false, i)
busy(B, d, stop, true, b2, b3, i) -> idle(B, open, stop, false, b2, b3, i)
busy(F, d, stop, b1, true, b3, i) -> idle(F, open, stop, b1, false, b3, i)
busy(S, d, stop, b1, b2, true, i) -> idle(S, open, stop, b1, b2, false, i)
busy(B, closed, down, b1, b2, b3, i) -> idle(B, closed, stop, b1, b2, b3, i)
busy(S, closed, up, b1, b2, b3, i) -> idle(S, closed, stop, b1, b2, b3, i)
busy(B, closed, up, true, b2, b3, i) -> idle(B, closed, stop, true, b2, b3, i)
busy(F, closed, up, b1, true, b3, i) -> idle(F, closed, stop, b1, true, b3, i)
busy(F, closed, down, b1, true, b3, i) -> idle(F, closed, stop, b1, true, b3, i)
busy(S, closed, down, b1, b2, true, i) -> idle(S, closed, stop, b1, b2, true, i)
busy(B, closed, up, false, b2, b3, i) -> idle(BF, closed, up, false, b2, b3, i)
busy(F, closed, up, b1, false, b3, i) -> idle(FS, closed, up, b1, false, b3, i)
busy(F, closed, down, b1, false, b3, i) -> idle(BF, closed, down, b1, false, b3, i)
busy(S, closed, down, b1, b2, false, i) -> idle(FS, closed, down, b1, b2, false, i)
busy(BF, closed, up, b1, b2, b3, i) -> idle(F, closed, up, b1, b2, b3, i)
busy(BF, closed, down, b1, b2, b3, i) -> idle(B, closed, down, b1, b2, b3, i)
busy(FS, closed, up, b1, b2, b3, i) -> idle(S, closed, up, b1, b2, b3, i)
busy(FS, closed, down, b1, b2, b3, i) -> idle(F, closed, down, b1, b2, b3, i)
busy(B, closed, stop, false, true, b3, i) -> idle(B, closed, up, false, true, b3, i)
busy(B, closed, stop, false, false, true, i) -> idle(B, closed, up, false, false, true, i)
busy(F, closed, stop, true, false, b3, i) -> idle(F, closed, down, true, false, b3, i)
busy(F, closed, stop, false, false, true, i) -> idle(F, closed, up, false, false, true, i)
busy(S, closed, stop, b1, true, false, i) -> idle(S, closed, down, b1, true, false, i)
busy(S, closed, stop, true, false, false, i) -> idle(S, closed, down, true, false, false, i)
idle(fl, d, m, b1, b2, b3, empty) -> busy(fl, d, m, b1, b2, b3, empty)
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)
or(true, b) -> true
or(false, b) -> b

Strategy:

innermost

On this DP problem, an Instantiation SCC transformation can be performed.
As a result of transforming the rule

BUSY(S, closed, stop, true, false, false, i) -> IDLE(S, closed, down, true, false, false, i)

one new Dependency Pair is created:

BUSY(S, closed, stop, true, false, false, empty) -> IDLE(S, closed, down, true, false, false, empty)

The transformation is resulting in one new DP problem:

     ↳DPs

       →DP Problem 1

         ↳AFS

           →DP Problem 2

             ↳DGraph

...

               →DP Problem 29

                 ↳Instantiation Transformation

Dependency Pairs:

BUSY(S, closed, stop, true, false, false, empty) -> IDLE(S, closed, down, true, false, false, empty)
BUSY(F, closed, stop, false, false, true, empty) -> IDLE(F, closed, up, false, false, true, empty)
BUSY(F, closed, stop, true, false, b3'', empty) -> IDLE(F, closed, down, true, false, b3'', empty)
BUSY(B, closed, stop, false, false, true, empty) -> IDLE(B, closed, up, false, false, true, empty)
BUSY(B, closed, stop, false, true, b3'', empty) -> IDLE(B, closed, up, false, true, b3'', empty)
BUSY(FS, closed, down, b1'', b2'', b3'', empty) -> IDLE(F, closed, down, b1'', b2'', b3'', empty)
BUSY(FS, closed, up, b1'', b2'', b3'', empty) -> IDLE(S, closed, up, b1'', b2'', b3'', empty)
BUSY(BF, closed, down, b1'', b2'', b3'', empty) -> IDLE(B, closed, down, b1'', b2'', b3'', empty)
BUSY(BF, closed, up, b1'', b2'', b3'', empty) -> IDLE(F, closed, up, b1'', b2'', b3'', empty)
BUSY(S, closed, down, b1'', b2'', false, empty) -> IDLE(FS, closed, down, b1'', b2'', false, empty)
BUSY(F, closed, down, b1'', false, b3'', empty) -> IDLE(BF, closed, down, b1'', false, b3'', empty)
BUSY(F, closed, up, b1'', false, b3'', empty) -> IDLE(FS, closed, up, b1'', false, b3'', empty)
BUSY(B, closed, up, false, b2'', b3'', empty) -> IDLE(BF, closed, up, false, b2'', b3'', empty)
BUSY(S, closed, down, b1'', b2'', true, empty) -> IDLE(S, closed, stop, b1'', b2'', true, empty)
BUSY(F, closed, down, b1'', true, b3'', empty) -> IDLE(F, closed, stop, b1'', true, b3'', empty)
BUSY(F, closed, up, b1'', true, b3'', empty) -> IDLE(F, closed, stop, b1'', true, b3'', empty)
BUSY(B, closed, up, true, b2'', b3'', empty) -> IDLE(B, closed, stop, true, b2'', b3'', empty)
BUSY(S, closed, up, b1'', b2'', b3'', empty) -> IDLE(S, closed, stop, b1'', b2'', b3'', empty)
BUSY(B, closed, down, b1'', b2'', b3'', empty) -> IDLE(B, closed, stop, b1'', b2'', b3'', empty)
BUSY(S, d'', stop, b1'', b2'', true, empty) -> IDLE(S, open, stop, b1'', b2'', false, empty)
BUSY(F, d'', stop, b1'', true, b3'', empty) -> IDLE(F, open, stop, b1'', false, b3'', empty)
BUSY(B, d'', stop, true, b2'', b3'', empty) -> IDLE(B, open, stop, false, b2'', b3'', empty)
BUSY(S, open, stop, b1'', b2'', false, empty) -> IDLE(S, closed, stop, b1'', b2'', false, empty)
BUSY(F, open, stop, b1'', false, b3'', empty) -> IDLE(F, closed, stop, b1'', false, b3'', empty)
BUSY(B, open, stop, false, b2'', b3'', empty) -> IDLE(B, closed, stop, false, b2'', b3'', empty)
IDLE(fl, d, m, b1, b2, b3, empty) -> BUSY(fl, d, m, b1, b2, b3, empty)
BUSY(S, closed, stop, b1'', true, false, empty) -> IDLE(S, closed, down, b1'', true, false, empty)

Rules:

start(i) -> busy(F, closed, stop, false, false, false, i)
busy(BF, d, stop, b1, b2, b3, i) -> incorrect
busy(FS, d, stop, b1, b2, b3, i) -> incorrect
busy(fl, open, up, b1, b2, b3, i) -> incorrect
busy(fl, open, down, b1, b2, b3, i) -> incorrect
busy(B, closed, stop, false, false, false, empty) -> correct
busy(F, closed, stop, false, false, false, empty) -> correct
busy(S, closed, stop, false, false, false, empty) -> correct
busy(B, closed, stop, false, false, false, newbuttons(i1, i2, i3, i)) -> idle(B, closed, stop, false, false, false, newbuttons(i1, i2, i3, i))
busy(F, closed, stop, false, false, false, newbuttons(i1, i2, i3, i)) -> idle(F, closed, stop, false, false, false, newbuttons(i1, i2, i3, i))
busy(S, closed, stop, false, false, false, newbuttons(i1, i2, i3, i)) -> idle(S, closed, stop, false, false, false, newbuttons(i1, i2, i3, i))
busy(B, open, stop, false, b2, b3, i) -> idle(B, closed, stop, false, b2, b3, i)
busy(F, open, stop, b1, false, b3, i) -> idle(F, closed, stop, b1, false, b3, i)
busy(S, open, stop, b1, b2, false, i) -> idle(S, closed, stop, b1, b2, false, i)
busy(B, d, stop, true, b2, b3, i) -> idle(B, open, stop, false, b2, b3, i)
busy(F, d, stop, b1, true, b3, i) -> idle(F, open, stop, b1, false, b3, i)
busy(S, d, stop, b1, b2, true, i) -> idle(S, open, stop, b1, b2, false, i)
busy(B, closed, down, b1, b2, b3, i) -> idle(B, closed, stop, b1, b2, b3, i)
busy(S, closed, up, b1, b2, b3, i) -> idle(S, closed, stop, b1, b2, b3, i)
busy(B, closed, up, true, b2, b3, i) -> idle(B, closed, stop, true, b2, b3, i)
busy(F, closed, up, b1, true, b3, i) -> idle(F, closed, stop, b1, true, b3, i)
busy(F, closed, down, b1, true, b3, i) -> idle(F, closed, stop, b1, true, b3, i)
busy(S, closed, down, b1, b2, true, i) -> idle(S, closed, stop, b1, b2, true, i)
busy(B, closed, up, false, b2, b3, i) -> idle(BF, closed, up, false, b2, b3, i)
busy(F, closed, up, b1, false, b3, i) -> idle(FS, closed, up, b1, false, b3, i)
busy(F, closed, down, b1, false, b3, i) -> idle(BF, closed, down, b1, false, b3, i)
busy(S, closed, down, b1, b2, false, i) -> idle(FS, closed, down, b1, b2, false, i)
busy(BF, closed, up, b1, b2, b3, i) -> idle(F, closed, up, b1, b2, b3, i)
busy(BF, closed, down, b1, b2, b3, i) -> idle(B, closed, down, b1, b2, b3, i)
busy(FS, closed, up, b1, b2, b3, i) -> idle(S, closed, up, b1, b2, b3, i)
busy(FS, closed, down, b1, b2, b3, i) -> idle(F, closed, down, b1, b2, b3, i)
busy(B, closed, stop, false, true, b3, i) -> idle(B, closed, up, false, true, b3, i)
busy(B, closed, stop, false, false, true, i) -> idle(B, closed, up, false, false, true, i)
busy(F, closed, stop, true, false, b3, i) -> idle(F, closed, down, true, false, b3, i)
busy(F, closed, stop, false, false, true, i) -> idle(F, closed, up, false, false, true, i)
busy(S, closed, stop, b1, true, false, i) -> idle(S, closed, down, b1, true, false, i)
busy(S, closed, stop, true, false, false, i) -> idle(S, closed, down, true, false, false, i)
idle(fl, d, m, b1, b2, b3, empty) -> busy(fl, d, m, b1, b2, b3, empty)
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)
or(true, b) -> true
or(false, b) -> b

Strategy:

innermost

On this DP problem, an Instantiation SCC transformation can be performed.
As a result of transforming the rule

IDLE(fl, d, m, b1, b2, b3, empty) -> BUSY(fl, d, m, b1, b2, b3, empty)

25 new Dependency Pairs are created:

IDLE(B, closed, stop, false, b2', b3', empty) -> BUSY(B, closed, stop, false, b2', b3', empty)
IDLE(F, closed, stop, b1', false, b3', empty) -> BUSY(F, closed, stop, b1', false, b3', empty)
IDLE(S, closed, stop, b1', b2', false, empty) -> BUSY(S, closed, stop, b1', b2', false, empty)
IDLE(B, open, stop, false, b2', b3', empty) -> BUSY(B, open, stop, false, b2', b3', empty)
IDLE(F, open, stop, b1', false, b3', empty) -> BUSY(F, open, stop, b1', false, b3', empty)
IDLE(S, open, stop, b1', b2', false, empty) -> BUSY(S, open, stop, b1', b2', false, empty)
IDLE(B, closed, stop, b1', b2', b3', empty) -> BUSY(B, closed, stop, b1', b2', b3', empty)
IDLE(S, closed, stop, b1', b2', b3', empty) -> BUSY(S, closed, stop, b1', b2', b3', empty)
IDLE(B, closed, stop, true, b2', b3', empty) -> BUSY(B, closed, stop, true, b2', b3', empty)
IDLE(F, closed, stop, b1', true, b3', empty) -> BUSY(F, closed, stop, b1', true, b3', empty)
IDLE(S, closed, stop, b1', b2', true, empty) -> BUSY(S, closed, stop, b1', b2', true, empty)
IDLE(BF, closed, up, false, b2', b3', empty) -> BUSY(BF, closed, up, false, b2', b3', empty)
IDLE(FS, closed, up, b1', false, b3', empty) -> BUSY(FS, closed, up, b1', false, b3', empty)
IDLE(BF, closed, down, b1', false, b3', empty) -> BUSY(BF, closed, down, b1', false, b3', empty)
IDLE(FS, closed, down, b1', b2', false, empty) -> BUSY(FS, closed, down, b1', b2', false, empty)
IDLE(F, closed, up, b1', b2', b3', empty) -> BUSY(F, closed, up, b1', b2', b3', empty)
IDLE(B, closed, down, b1', b2', b3', empty) -> BUSY(B, closed, down, b1', b2', b3', empty)
IDLE(S, closed, up, b1', b2', b3', empty) -> BUSY(S, closed, up, b1', b2', b3', empty)
IDLE(F, closed, down, b1', b2', b3', empty) -> BUSY(F, closed, down, b1', b2', b3', empty)
IDLE(B, closed, up, false, true, b3', empty) -> BUSY(B, closed, up, false, true, b3', empty)
IDLE(B, closed, up, false, false, true, empty) -> BUSY(B, closed, up, false, false, true, empty)
IDLE(F, closed, down, true, false, b3', empty) -> BUSY(F, closed, down, true, false, b3', empty)
IDLE(F, closed, up, false, false, true, empty) -> BUSY(F, closed, up, false, false, true, empty)
IDLE(S, closed, down, b1', true, false, empty) -> BUSY(S, closed, down, b1', true, false, empty)
IDLE(S, closed, down, true, false, false, empty) -> BUSY(S, closed, down, true, false, false, empty)

The transformation is resulting in one new DP problem:

     ↳DPs

       →DP Problem 1

         ↳AFS

           →DP Problem 2

             ↳DGraph

...

               →DP Problem 30

                 ↳Remaining Obligation(s)

The following remains to be proven:
Dependency Pairs:

BUSY(F, closed, stop, false, false, true, empty) -> IDLE(F, closed, up, false, false, true, empty)
IDLE(B, closed, stop, true, b2', b3', empty) -> BUSY(B, closed, stop, true, b2', b3', empty)
BUSY(B, open, stop, false, b2'', b3'', empty) -> IDLE(B, closed, stop, false, b2'', b3'', empty)
IDLE(B, open, stop, false, b2', b3', empty) -> BUSY(B, open, stop, false, b2', b3', empty)
BUSY(B, d'', stop, true, b2'', b3'', empty) -> IDLE(B, open, stop, false, b2'', b3'', empty)
IDLE(B, closed, stop, b1', b2', b3', empty) -> BUSY(B, closed, stop, b1', b2', b3', empty)
IDLE(B, closed, up, false, false, true, empty) -> BUSY(B, closed, up, false, false, true, empty)
BUSY(B, closed, stop, false, false, true, empty) -> IDLE(B, closed, up, false, false, true, empty)
IDLE(F, closed, up, false, false, true, empty) -> BUSY(F, closed, up, false, false, true, empty)
IDLE(S, closed, stop, b1', b2', true, empty) -> BUSY(S, closed, stop, b1', b2', true, empty)
BUSY(S, open, stop, b1'', b2'', false, empty) -> IDLE(S, closed, stop, b1'', b2'', false, empty)
IDLE(S, open, stop, b1', b2', false, empty) -> BUSY(S, open, stop, b1', b2', false, empty)
BUSY(S, d'', stop, b1'', b2'', true, empty) -> IDLE(S, open, stop, b1'', b2'', false, empty)
IDLE(S, closed, stop, b1', b2', b3', empty) -> BUSY(S, closed, stop, b1', b2', b3', empty)
IDLE(S, closed, down, b1', true, false, empty) -> BUSY(S, closed, down, b1', true, false, empty)
BUSY(S, closed, stop, b1'', true, false, empty) -> IDLE(S, closed, down, b1'', true, false, empty)
IDLE(S, closed, stop, b1', b2', false, empty) -> BUSY(S, closed, stop, b1', b2', false, empty)
BUSY(S, closed, up, b1'', b2'', b3'', empty) -> IDLE(S, closed, stop, b1'', b2'', b3'', empty)
IDLE(S, closed, up, b1', b2', b3', empty) -> BUSY(S, closed, up, b1', b2', b3', empty)
BUSY(FS, closed, up, b1'', b2'', b3'', empty) -> IDLE(S, closed, up, b1'', b2'', b3'', empty)
IDLE(FS, closed, up, b1', false, b3', empty) -> BUSY(FS, closed, up, b1', false, b3', empty)
BUSY(F, closed, up, b1'', false, b3'', empty) -> IDLE(FS, closed, up, b1'', false, b3'', empty)
BUSY(F, closed, up, b1'', true, b3'', empty) -> IDLE(F, closed, stop, b1'', true, b3'', empty)
IDLE(F, closed, up, b1', b2', b3', empty) -> BUSY(F, closed, up, b1', b2', b3', empty)
BUSY(BF, closed, up, b1'', b2'', b3'', empty) -> IDLE(F, closed, up, b1'', b2'', b3'', empty)
IDLE(BF, closed, up, false, b2', b3', empty) -> BUSY(BF, closed, up, false, b2', b3', empty)
BUSY(B, closed, up, false, b2'', b3'', empty) -> IDLE(BF, closed, up, false, b2'', b3'', empty)
IDLE(B, closed, up, false, true, b3', empty) -> BUSY(B, closed, up, false, true, b3', empty)
BUSY(B, closed, stop, false, true, b3'', empty) -> IDLE(B, closed, up, false, true, b3'', empty)
IDLE(B, closed, stop, false, b2', b3', empty) -> BUSY(B, closed, stop, false, b2', b3', empty)
BUSY(B, closed, down, b1'', b2'', b3'', empty) -> IDLE(B, closed, stop, b1'', b2'', b3'', empty)
IDLE(B, closed, down, b1', b2', b3', empty) -> BUSY(B, closed, down, b1', b2', b3', empty)
BUSY(BF, closed, down, b1'', b2'', b3'', empty) -> IDLE(B, closed, down, b1'', b2'', b3'', empty)
IDLE(BF, closed, down, b1', false, b3', empty) -> BUSY(BF, closed, down, b1', false, b3', empty)
BUSY(F, closed, down, b1'', false, b3'', empty) -> IDLE(BF, closed, down, b1'', false, b3'', empty)
IDLE(F, closed, down, true, false, b3', empty) -> BUSY(F, closed, down, true, false, b3', empty)
BUSY(F, closed, stop, true, false, b3'', empty) -> IDLE(F, closed, down, true, false, b3'', empty)
IDLE(F, closed, stop, b1', false, b3', empty) -> BUSY(F, closed, stop, b1', false, b3', empty)
BUSY(F, open, stop, b1'', false, b3'', empty) -> IDLE(F, closed, stop, b1'', false, b3'', empty)
IDLE(F, open, stop, b1', false, b3', empty) -> BUSY(F, open, stop, b1', false, b3', empty)
BUSY(F, d'', stop, b1'', true, b3'', empty) -> IDLE(F, open, stop, b1'', false, b3'', empty)
IDLE(F, closed, stop, b1', true, b3', empty) -> BUSY(F, closed, stop, b1', true, b3', empty)
BUSY(F, closed, down, b1'', true, b3'', empty) -> IDLE(F, closed, stop, b1'', true, b3'', empty)
IDLE(F, closed, down, b1', b2', b3', empty) -> BUSY(F, closed, down, b1', b2', b3', empty)
BUSY(FS, closed, down, b1'', b2'', b3'', empty) -> IDLE(F, closed, down, b1'', b2'', b3'', empty)
IDLE(FS, closed, down, b1', b2', false, empty) -> BUSY(FS, closed, down, b1', b2', false, empty)
BUSY(S, closed, down, b1'', b2'', false, empty) -> IDLE(FS, closed, down, b1'', b2'', false, empty)
IDLE(S, closed, down, true, false, false, empty) -> BUSY(S, closed, down, true, false, false, empty)
BUSY(S, closed, stop, true, false, false, empty) -> IDLE(S, closed, down, true, false, false, empty)

Rules:

start(i) -> busy(F, closed, stop, false, false, false, i)
busy(BF, d, stop, b1, b2, b3, i) -> incorrect
busy(FS, d, stop, b1, b2, b3, i) -> incorrect
busy(fl, open, up, b1, b2, b3, i) -> incorrect
busy(fl, open, down, b1, b2, b3, i) -> incorrect
busy(B, closed, stop, false, false, false, empty) -> correct
busy(F, closed, stop, false, false, false, empty) -> correct
busy(S, closed, stop, false, false, false, empty) -> correct
busy(B, closed, stop, false, false, false, newbuttons(i1, i2, i3, i)) -> idle(B, closed, stop, false, false, false, newbuttons(i1, i2, i3, i))
busy(F, closed, stop, false, false, false, newbuttons(i1, i2, i3, i)) -> idle(F, closed, stop, false, false, false, newbuttons(i1, i2, i3, i))
busy(S, closed, stop, false, false, false, newbuttons(i1, i2, i3, i)) -> idle(S, closed, stop, false, false, false, newbuttons(i1, i2, i3, i))
busy(B, open, stop, false, b2, b3, i) -> idle(B, closed, stop, false, b2, b3, i)
busy(F, open, stop, b1, false, b3, i) -> idle(F, closed, stop, b1, false, b3, i)
busy(S, open, stop, b1, b2, false, i) -> idle(S, closed, stop, b1, b2, false, i)
busy(B, d, stop, true, b2, b3, i) -> idle(B, open, stop, false, b2, b3, i)
busy(F, d, stop, b1, true, b3, i) -> idle(F, open, stop, b1, false, b3, i)
busy(S, d, stop, b1, b2, true, i) -> idle(S, open, stop, b1, b2, false, i)
busy(B, closed, down, b1, b2, b3, i) -> idle(B, closed, stop, b1, b2, b3, i)
busy(S, closed, up, b1, b2, b3, i) -> idle(S, closed, stop, b1, b2, b3, i)
busy(B, closed, up, true, b2, b3, i) -> idle(B, closed, stop, true, b2, b3, i)
busy(F, closed, up, b1, true, b3, i) -> idle(F, closed, stop, b1, true, b3, i)
busy(F, closed, down, b1, true, b3, i) -> idle(F, closed, stop, b1, true, b3, i)
busy(S, closed, down, b1, b2, true, i) -> idle(S, closed, stop, b1, b2, true, i)
busy(B, closed, up, false, b2, b3, i) -> idle(BF, closed, up, false, b2, b3, i)
busy(F, closed, up, b1, false, b3, i) -> idle(FS, closed, up, b1, false, b3, i)
busy(F, closed, down, b1, false, b3, i) -> idle(BF, closed, down, b1, false, b3, i)
busy(S, closed, down, b1, b2, false, i) -> idle(FS, closed, down, b1, b2, false, i)
busy(BF, closed, up, b1, b2, b3, i) -> idle(F, closed, up, b1, b2, b3, i)
busy(BF, closed, down, b1, b2, b3, i) -> idle(B, closed, down, b1, b2, b3, i)
busy(FS, closed, up, b1, b2, b3, i) -> idle(S, closed, up, b1, b2, b3, i)
busy(FS, closed, down, b1, b2, b3, i) -> idle(F, closed, down, b1, b2, b3, i)
busy(B, closed, stop, false, true, b3, i) -> idle(B, closed, up, false, true, b3, i)
busy(B, closed, stop, false, false, true, i) -> idle(B, closed, up, false, false, true, i)
busy(F, closed, stop, true, false, b3, i) -> idle(F, closed, down, true, false, b3, i)
busy(F, closed, stop, false, false, true, i) -> idle(F, closed, up, false, false, true, i)
busy(S, closed, stop, b1, true, false, i) -> idle(S, closed, down, b1, true, false, i)
busy(S, closed, stop, true, false, false, i) -> idle(S, closed, down, true, false, false, i)
idle(fl, d, m, b1, b2, b3, empty) -> busy(fl, d, m, b1, b2, b3, empty)
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)
or(true, b) -> true
or(false, b) -> b

Strategy:

innermost

Innermost Termination of R could not be shown.
Duration:
0:27 minutes