dwolter_SparQ/Calculi/rcd.lisp
(def-calculus "RCD"
  :arity :binary
  :parametric? nil
  :consistency :unknown
  :identity-relation E
  :base-relations (B S N E W NE NW SE SW S_SW S_SE NW_N N_NE B_W B_E B_S B_N W_SW W_NW E_SE NE_E S_SW_SE NW_N_NE B_W_E B_S_N SW_N_NW NE_E_SE B_S_SW_W B_W_NW_N B_S_E_SE B_N_NE_E B_S_SW_W_NW_N B_S_N_NE_E_SE B_S_SW_W_E_SE B_W_NW_N_NE_E B_S_SW_W_NW_N_NE_E_SE)
  :converse-operation ((B (B_S_SW_W_NW_N_NE_E_SE B_W_NW_N_NE_E B_S_SW_W_E_SE B_S_N_NE_E_SE B_S_SW_W_NW_N B_N_NE_E B_S_E_SE B_W_NW_N B_S_SW_W B_S_N B_W_E B_N B_S B_E B_W B)) (S (NW_N_NE N_NE NW_N N)) (N (S_SW_SE S_SE S_SW S)) (E (SW_N_NW W_NW W_SW W)) (W (NE_E_SE NE_E E_SE E)) (NE (SW)) (NW (SE)) (SE (NW)) (SW (NE)) (S_SW (N_NE N)) (S_SE (NW_N N)) (NW_N (S_SE S)) (N_NE (S_SW S)) (B_W (B_S_N_NE_E_SE B_N_NE_E B_S_E_SE B_S_N B_N B_S B_E B)) (B_E (B_S_SW_W_NW_N B_W_NW_N B_S_SW_W B_S_N B_N B_S B_W B)) (B_S (B_W_NW_N_NE_E B_N_NE_E B_W_NW_N B_W_E B_N B_E B_W B)) (B_N (B_S_SW_W_E_SE B_S_E_SE B_S_SW_W B_W_E B_S B_E B_W B)) (W_SW (NE_E E)) (W_NW (E_SE E)) (E_SE (W_NW W)) (NE_E (W_SW W)) (S_SW_SE (N)) (NW_N_NE (S)) (B_W_E (B_S_N B_N B_S B)) (B_S_N (B_W_E B_E B_W B)) (SW_N_NW (E)) (NE_E_SE (W)) (B_S_SW_W (B_N_NE_E B_N B_E B)) (B_W_NW_N (B_S_E_SE B_S B_E B)) (B_S_E_SE (B_W_NW_N B_N B_W B)) (B_N_NE_E (B_S_SW_W B_S B_W B)) (B_S_SW_W_NW_N (B_E B)) (B_S_N_NE_E_SE (B_W B)) (B_S_SW_W_E_SE (B_N B)) (B_W_NW_N_NE_E (B_S B)) (B_S_SW_W_NW_N_NE_E_SE (B)))
  :composition-operation ((B B (B)) (B S (S)) (B N (N)) (B E (E)) (B W (W)) (B NE (NE)) (B NW (NW)) (B SE (SE)) (B SW (SW)) (B S_SW (S_SW SW S)) (B S_SE (S_SE SE S)) (B NW_N (NW_N NW N)) (B N_NE (N_NE NE N)) (B B_W (B_W W B)) (B B_E (B_E E B)) (B B_S (B_S S B)) (B B_N (B_N N B)) (B W_SW (W_SW SW W)) (B W_NW (W_NW NW W)) (B E_SE (E_SE SE E)) (B NE_E (NE_E NE E)) (B S_SW_SE (S_SW_SE S_SE S_SW SW SE S)) (B NW_N_NE (NW_N_NE N_NE NW_N NW NE N)) (B B_W_E (B_W_E B_E B_W W E B)) (B B_S_N (B_S_N B_N B_S N S B)) (B SW_N_NW (SW_N_NW W_NW W_SW SW NW W)) (B NE_E_SE (NE_E_SE NE_E E_SE SE NE E)) (B B_S_SW_W (B_S_SW_W W_SW B_S B_W S_SW SW W S B)) (B B_W_NW_N (B_W_NW_N W_NW B_N B_W NW_N NW W N B)) (B B_S_E_SE (B_S_E_SE E_SE B_S B_E S_SE SE E S B)) (B B_N_NE_E (B_N_NE_E NE_E B_N B_E N_NE NE E N B)) (B B_S_SW_W_NW_N (B_S_SW_W_NW_N B_W_NW_N B_S_SW_W SW_N_NW B_S_N W_NW W_SW B_N B_S B_W NW_N S_SW SW NW W N S B)) (B B_S_N_NE_E_SE (B_S_N_NE_E_SE B_N_NE_E B_S_E_SE NE_E_SE B_S_N NE_E E_SE B_N B_S B_E N_NE S_SE SE NE E N S B)) (B B_S_SW_W_E_SE (B_S_SW_W_E_SE B_S_E_SE B_S_SW_W B_W_E S_SW_SE E_SE W_SW B_S B_E B_W S_SE S_SW SW SE W E S B)) (B B_W_NW_N_NE_E (B_W_NW_N_NE_E B_N_NE_E B_W_NW_N B_W_E NW_N_NE NE_E W_NW B_N B_E B_W N_NE NW_N NW NE W E N B)) (B B_S_SW_W_NW_N_NE_E_SE (B_S_SW_W_NW_N_NE_E_SE B_W_NW_N_NE_E B_S_SW_W_E_SE B_S_N_NE_E_SE B_S_SW_W_NW_N B_N_NE_E B_S_E_SE B_W_NW_N B_S_SW_W NE_E_SE SW_N_NW B_S_N B_W_E NW_N_NE S_SW_SE NE_E E_SE W_NW W_SW B_N B_S B_E B_W N_NE NW_N S_SE S_SW SW SE NW NE W E N S B)) (S B (B_S S B)) (S S (S)) (S N (B_S_N B_N B_S N S B)) (S E (E_SE SE E)) (S W (W_SW SW W)) (S NE (NE_E_SE NE_E E_SE SE NE E)) (S NW (SW_N_NW W_NW W_SW SW NW W)) (S SE (SE)) (S SW (SW)) (S S_SW (S_SW SW S)) (S S_SE (S_SE SE S)) (S NW_N (B_S_SW_W_NW_N B_W_NW_N B_S_SW_W SW_N_NW B_S_N W_NW W_SW B_N B_S B_W NW_N S_SW SW NW W N S B)) (S N_NE (B_S_N_NE_E_SE B_N_NE_E B_S_E_SE NE_E_SE B_S_N NE_E E_SE B_N B_S B_E N_NE S_SE SE NE E N S B)) (S B_W (B_S_SW_W W_SW B_S B_W S_SW SW W S B)) (S B_E (B_S_E_SE E_SE B_S B_E S_SE SE E S B)) (S B_S (S)) (S B_N (B_S S B)) (S W_SW (SW)) (S W_NW (W_SW SW W)) (S E_SE (SE)) (S NE_E (E_SE SE E)) (S S_SW_SE (S_SW_SE S_SE S_SW SW SE S)) (S NW_N_NE (B_S_SW_W_NW_N_NE_E_SE B_W_NW_N_NE_E B_S_SW_W_E_SE B_S_N_NE_E_SE B_S_SW_W_NW_N B_N_NE_E B_S_E_SE B_W_NW_N B_S_SW_W NE_E_SE SW_N_NW B_S_N B_W_E NW_N_NE S_SW_SE NE_E E_SE W_NW W_SW B_N B_S B_E B_W N_NE NW_N S_SE S_SW SW SE NW NE W E N S B)) (S B_W_E (B_S_SW_W_E_SE B_S_E_SE B_S_SW_W B_W_E S_SW_SE E_SE W_SW B_S B_E B_W S_SE S_SW SW SE W E S B)) (S B_S_N (S)) (S SW_N_NW (SW)) (S NE_E_SE (SE)) (S B_S_SW_W (S_SW SW S)) (S B_W_NW_N (B_S_SW_W W_SW B_S B_W S_SW SW W S B)) (S B_S_E_SE (S_SE SE S)) (S B_N_NE_E (B_S_E_SE E_SE B_S B_E S_SE SE E S B)) (S B_S_SW_W_NW_N (S_SW SW S)) (S B_S_N_NE_E_SE (S_SE SE S)) (S B_S_SW_W_E_SE (S_SW_SE S_SE S_SW SW SE S)) (S B_W_NW_N_NE_E (B_S_SW_W_E_SE B_S_E_SE B_S_SW_W B_W_E S_SW_SE E_SE W_SW B_S B_E B_W S_SE S_SW SW SE W E S B)) (S B_S_SW_W_NW_N_NE_E_SE (S_SW_SE S_SE S_SW SW SE S)) (N B (B_N N B)) (N S (B_S_N B_N B_S N S B)) (N N (N)) (N E (NE_E NE E)) (N W (W_NW NW W)) (N NE (NE)) (N NW (NW)) (N SE (NE_E_SE NE_E E_SE SE NE E)) (N SW (SW_N_NW W_NW W_SW SW NW W)) (N S_SW (B_S_SW_W_NW_N B_W_NW_N B_S_SW_W SW_N_NW B_S_N W_NW W_SW B_N B_S B_W NW_N S_SW SW NW W N S B)) (N S_SE (B_S_N_NE_E_SE B_N_NE_E B_S_E_SE NE_E_SE B_S_N NE_E E_SE B_N B_S B_E N_NE S_SE SE NE E N S B)) (N NW_N (NW_N NW N)) (N N_NE (N_NE NE N)) (N B_W (B_W_NW_N W_NW B_N B_W NW_N NW W N B)) (N B_E (B_N_NE_E NE_E B_N B_E N_NE NE E N B)) (N B_S (B_N N B)) (N B_N (N)) (N W_SW (W_NW NW W)) (N W_NW (NW)) (N E_SE (NE_E NE E)) (N NE_E (NE)) (N S_SW_SE (B_S_SW_W_NW_N_NE_E_SE B_W_NW_N_NE_E B_S_SW_W_E_SE B_S_N_NE_E_SE B_S_SW_W_NW_N B_N_NE_E B_S_E_SE B_W_NW_N B_S_SW_W NE_E_SE SW_N_NW B_S_N B_W_E NW_N_NE S_SW_SE NE_E E_SE W_NW W_SW B_N B_S B_E B_W N_NE NW_N S_SE S_SW SW SE NW NE W E N S B)) (N NW_N_NE (NW_N_NE N_NE NW_N NW NE N)) (N B_W_E (B_W_NW_N_NE_E B_N_NE_E B_W_NW_N B_W_E NW_N_NE NE_E W_NW B_N B_E B_W N_NE NW_N NW NE W E N B)) (N B_S_N (N)) (N SW_N_NW (NW)) (N NE_E_SE (NE)) (N B_S_SW_W (B_W_NW_N W_NW B_N B_W NW_N NW W N B)) (N B_W_NW_N (NW_N NW N)) (N B_S_E_SE (B_N_NE_E NE_E B_N B_E N_NE NE E N B)) (N B_N_NE_E (N_NE NE N)) (N B_S_SW_W_NW_N (NW_N NW N)) (N B_S_N_NE_E_SE (N_NE NE N)) (N B_S_SW_W_E_SE (B_W_NW_N_NE_E B_N_NE_E B_W_NW_N B_W_E NW_N_NE NE_E W_NW B_N B_E B_W N_NE NW_N NW NE W E N B)) (N B_W_NW_N_NE_E (NW_N_NE N_NE NW_N NW NE N)) (N B_S_SW_W_NW_N_NE_E_SE (NW_N_NE N_NE NW_N NW NE N)) (E B (B_E E B)) (E S (S_SE SE S)) (E N (N_NE NE N)) (E E (E)) (E W (B_W_E B_E B_W W E B)) (E NE (NE)) (E NW (NW_N_NE N_NE NW_N NW NE N)) (E SE (SE)) (E SW (S_SW_SE S_SE S_SW SW SE S)) (E S_SW (S_SE SE S)) (E S_SE (SE)) (E NW_N (N_NE NE N)) (E N_NE (NE)) (E B_W (B_E E B)) (E B_E (E)) (E B_S (B_S_E_SE E_SE B_S B_E S_SE SE E S B)) (E B_N (B_N_NE_E NE_E B_N B_E N_NE NE E N B)) (E W_SW (B_S_SW_W_E_SE B_S_E_SE B_S_SW_W B_W_E S_SW_SE E_SE W_SW B_S B_E B_W S_SE S_SW SW SE W E S B)) (E W_NW (B_W_NW_N_NE_E B_N_NE_E B_W_NW_N B_W_E NW_N_NE NE_E W_NW B_N B_E B_W N_NE NW_N NW NE W E N B)) (E E_SE (E_SE SE E)) (E NE_E (NE_E NE E)) (E S_SW_SE (SE)) (E NW_N_NE (NE)) (E B_W_E (E)) (E B_S_N (B_S_N_NE_E_SE B_N_NE_E B_S_E_SE NE_E_SE B_S_N NE_E E_SE B_N B_S B_E N_NE S_SE SE NE E N S B)) (E SW_N_NW (B_S_SW_W_NW_N_NE_E_SE B_W_NW_N_NE_E B_S_SW_W_E_SE B_S_N_NE_E_SE B_S_SW_W_NW_N B_N_NE_E B_S_E_SE B_W_NW_N B_S_SW_W NE_E_SE SW_N_NW B_S_N B_W_E NW_N_NE S_SW_SE NE_E E_SE W_NW W_SW B_N B_S B_E B_W N_NE NW_N S_SE S_SW SW SE NW NE W E N S B)) (E NE_E_SE (NE_E_SE NE_E E_SE SE NE E)) (E B_S_SW_W (B_S_E_SE E_SE B_S B_E S_SE SE E S B)) (E B_W_NW_N (B_N_NE_E NE_E B_N B_E N_NE NE E N B)) (E B_S_E_SE (E_SE SE E)) (E B_N_NE_E (NE_E NE E)) (E B_S_SW_W_NW_N (B_S_N_NE_E_SE B_N_NE_E B_S_E_SE NE_E_SE B_S_N NE_E E_SE B_N B_S B_E N_NE S_SE SE NE E N S B)) (E B_S_N_NE_E_SE (NE_E_SE NE_E E_SE SE NE E)) (E B_S_SW_W_E_SE (E_SE SE E)) (E B_W_NW_N_NE_E (NE_E NE E)) (E B_S_SW_W_NW_N_NE_E_SE (NE_E_SE NE_E E_SE SE NE E)) (W B (B_W W B)) (W S (S_SW SW S)) (W N (NW_N NW N)) (W E (B_W_E B_E B_W W E B)) (W W (W)) (W NE (NW_N_NE N_NE NW_N NW NE N)) (W NW (NW)) (W SE (S_SW_SE S_SE S_SW SW SE S)) (W SW (SW)) (W S_SW (SW)) (W S_SE (S_SW SW S)) (W NW_N (NW)) (W N_NE (NW_N NW N)) (W B_W (W)) (W B_E (B_W W B)) (W B_S (B_S_SW_W W_SW B_S B_W S_SW SW W S B)) (W B_N (B_W_NW_N W_NW B_N B_W NW_N NW W N B)) (W W_SW (W_SW SW W)) (W W_NW (W_NW NW W)) (W E_SE (B_S_SW_W_E_SE B_S_E_SE B_S_SW_W B_W_E S_SW_SE E_SE W_SW B_S B_E B_W S_SE S_SW SW SE W E S B)) (W NE_E (B_W_NW_N_NE_E B_N_NE_E B_W_NW_N B_W_E NW_N_NE NE_E W_NW B_N B_E B_W N_NE NW_N NW NE W E N B)) (W S_SW_SE (SW)) (W NW_N_NE (NW)) (W B_W_E (W)) (W B_S_N (B_S_SW_W_NW_N B_W_NW_N B_S_SW_W SW_N_NW B_S_N W_NW W_SW B_N B_S B_W NW_N S_SW SW NW W N S B)) (W SW_N_NW (SW_N_NW W_NW W_SW SW NW W)) (W NE_E_SE (B_S_SW_W_NW_N_NE_E_SE B_W_NW_N_NE_E B_S_SW_W_E_SE B_S_N_NE_E_SE B_S_SW_W_NW_N B_N_NE_E B_S_E_SE B_W_NW_N B_S_SW_W NE_E_SE SW_N_NW B_S_N B_W_E NW_N_NE S_SW_SE NE_E E_SE W_NW W_SW B_N B_S B_E B_W N_NE NW_N S_SE S_SW SW SE NW NE W E N S B)) (W B_S_SW_W (W_SW SW W)) (W B_W_NW_N (W_NW NW W)) (W B_S_E_SE (B_S_SW_W W_SW B_S B_W S_SW SW W S B)) (W B_N_NE_E (B_W_NW_N W_NW B_N B_W NW_N NW W N B)) (W B_S_SW_W_NW_N (SW_N_NW W_NW W_SW SW NW W)) (W B_S_N_NE_E_SE (B_S_SW_W_NW_N B_W_NW_N B_S_SW_W SW_N_NW B_S_N W_NW W_SW B_N B_S B_W NW_N S_SW SW NW W N S B)) (W B_S_SW_W_E_SE (W_SW SW W)) (W B_W_NW_N_NE_E (W_NW NW W)) (W B_S_SW_W_NW_N_NE_E_SE (SW_N_NW W_NW W_SW SW NW W)) (NE B (B_N_NE_E NE_E B_N B_E N_NE NE E N B)) (NE S (B_S_N_NE_E_SE B_N_NE_E B_S_E_SE NE_E_SE B_S_N NE_E E_SE B_N B_S B_E N_NE S_SE SE NE E N S B)) (NE N (N_NE NE N)) (NE E (NE_E NE E)) (NE W (B_W_NW_N_NE_E B_N_NE_E B_W_NW_N B_W_E NW_N_NE NE_E W_NW B_N B_E B_W N_NE NW_N NW NE W E N B)) (NE NE (NE)) (NE NW (NW_N_NE N_NE NW_N NW NE N)) (NE SE (NE_E_SE NE_E E_SE SE NE E)) (NE SW (B_S_SW_W_NW_N_NE_E_SE B_W_NW_N_NE_E B_S_SW_W_E_SE B_S_N_NE_E_SE B_S_SW_W_NW_N B_N_NE_E B_S_E_SE B_W_NW_N B_S_SW_W NE_E_SE SW_N_NW B_S_N B_W_E NW_N_NE S_SW_SE NE_E E_SE W_NW W_SW B_N B_S B_E B_W N_NE NW_N S_SE S_SW SW SE NW NE W E N S B)) (NE S_SW (B_S_N_NE_E_SE B_N_NE_E B_S_E_SE NE_E_SE B_S_N NE_E E_SE B_N B_S B_E N_NE S_SE SE NE E N S B)) (NE S_SE (NE_E_SE NE_E E_SE SE NE E)) (NE NW_N (N_NE NE N)) (NE N_NE (NE)) (NE B_W (B_N_NE_E NE_E B_N B_E N_NE NE E N B)) (NE B_E (NE_E NE E)) (NE B_S (B_N_NE_E NE_E B_N B_E N_NE NE E N B)) (NE B_N (N_NE NE N)) (NE W_SW (B_W_NW_N_NE_E B_N_NE_E B_W_NW_N B_W_E NW_N_NE NE_E W_NW B_N B_E B_W N_NE NW_N NW NE W E N B)) (NE W_NW (NW_N_NE N_NE NW_N NW NE N)) (NE E_SE (NE_E NE E)) (NE NE_E (NE)) (NE S_SW_SE (NE_E_SE NE_E E_SE SE NE E)) (NE NW_N_NE (NE)) (NE B_W_E (NE_E NE E)) (NE B_S_N (N_NE NE N)) (NE SW_N_NW (NW_N_NE N_NE NW_N NW NE N)) (NE NE_E_SE (NE)) (NE B_S_SW_W (B_N_NE_E NE_E B_N B_E N_NE NE E N B)) (NE B_W_NW_N (N_NE NE N)) (NE B_S_E_SE (NE_E NE E)) (NE B_N_NE_E (NE)) (NE B_S_SW_W_NW_N (N_NE NE N)) (NE B_S_N_NE_E_SE (NE)) (NE B_S_SW_W_E_SE (NE_E NE E)) (NE B_W_NW_N_NE_E (NE)) (NE 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W_SW)) (B_S_SW_W_NW_N_NE_E_SE W_NW (B_S_SW_W_NW_N_NE_E_SE B_W_NW_N_NE_E B_S_SW_W_NW_N B_W_NW_N SW_N_NW W_NW)) (B_S_SW_W_NW_N_NE_E_SE E_SE (B_S_SW_W_NW_N_NE_E_SE B_S_SW_W_E_SE B_S_N_NE_E_SE B_S_E_SE NE_E_SE E_SE)) (B_S_SW_W_NW_N_NE_E_SE NE_E (B_S_SW_W_NW_N_NE_E_SE B_W_NW_N_NE_E B_S_N_NE_E_SE B_N_NE_E NE_E_SE NE_E)) (B_S_SW_W_NW_N_NE_E_SE S_SW_SE (B_S_SW_W_NW_N_NE_E_SE B_S_SW_W_E_SE S_SW_SE)) (B_S_SW_W_NW_N_NE_E_SE NW_N_NE (B_S_SW_W_NW_N_NE_E_SE B_W_NW_N_NE_E NW_N_NE)) (B_S_SW_W_NW_N_NE_E_SE B_W_E (B_S_SW_W_NW_N_NE_E_SE B_W_NW_N_NE_E B_S_SW_W_E_SE B_W_E)) (B_S_SW_W_NW_N_NE_E_SE B_S_N (B_S_SW_W_NW_N_NE_E_SE B_S_N_NE_E_SE B_S_SW_W_NW_N B_S_N)) (B_S_SW_W_NW_N_NE_E_SE SW_N_NW (B_S_SW_W_NW_N_NE_E_SE B_S_SW_W_NW_N SW_N_NW)) (B_S_SW_W_NW_N_NE_E_SE NE_E_SE (B_S_SW_W_NW_N_NE_E_SE B_S_N_NE_E_SE NE_E_SE)) (B_S_SW_W_NW_N_NE_E_SE B_S_SW_W (B_S_SW_W_NW_N_NE_E_SE B_S_SW_W_E_SE B_S_SW_W_NW_N B_S_SW_W)) (B_S_SW_W_NW_N_NE_E_SE B_W_NW_N (B_S_SW_W_NW_N_NE_E_SE B_W_NW_N_NE_E B_S_SW_W_NW_N B_W_NW_N)) (B_S_SW_W_NW_N_NE_E_SE B_S_E_SE (B_S_SW_W_NW_N_NE_E_SE B_S_SW_W_E_SE B_S_N_NE_E_SE B_S_E_SE)) (B_S_SW_W_NW_N_NE_E_SE B_N_NE_E (B_S_SW_W_NW_N_NE_E_SE B_W_NW_N_NE_E B_S_N_NE_E_SE B_N_NE_E)) (B_S_SW_W_NW_N_NE_E_SE B_S_SW_W_NW_N (B_S_SW_W_NW_N_NE_E_SE B_S_SW_W_NW_N)) (B_S_SW_W_NW_N_NE_E_SE B_S_N_NE_E_SE (B_S_SW_W_NW_N_NE_E_SE B_S_N_NE_E_SE)) (B_S_SW_W_NW_N_NE_E_SE B_S_SW_W_E_SE (B_S_SW_W_NW_N_NE_E_SE B_S_SW_W_E_SE)) (B_S_SW_W_NW_N_NE_E_SE B_W_NW_N_NE_E (B_S_SW_W_NW_N_NE_E_SE B_W_NW_N_NE_E)) (B_S_SW_W_NW_N_NE_E_SE B_S_SW_W_NW_N_NE_E_SE (B_S_SW_W_NW_N_NE_E_SE))))
