cvc4.drv 9.17 KB
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(** Why3 driver for CVC4 *)

prelude "(set-logic AUFBVDTNIRA)"
(*
    A  : Array
    UF : Uninterpreted Function
    BV : BitVectors
    DT : Datatypes
    NIRA : NonLinear Integer Reals Arithmetic
*)
(* prelude "(set-logic ALL_SUPPORTED)"
   does not seem to include DT
*)

import "smt-libv2.drv"
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import "discrimination.gen"
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transformation "inline_trivial"
transformation "eliminate_builtin"
transformation "eliminate_definition"
transformation "eliminate_inductive"
transformation "eliminate_algebraic"
transformation "eliminate_epsilon"

transformation "simplify_formula"
(*transformation "simplify_trivial_quantification"*)

transformation "discriminate"
transformation "encoding_smt"

(** Error messages specific to CVC4 *)

outofmemory "(error \".*out of memory\")\\|Cannot allocate memory"
timeout "interrupted by timeout"
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steps "smt::SmtEngine::resourceUnitsUsed, \\([0-9]+.?[0-9]*\\)" 1
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(** Extra theories supported by CVC4 *)

(* Disabled:
   CVC4 division seems to be neither the Euclidean one, nor the Computer one

theory int.EuclideanDivision
   syntax function div "(div %1 %2)"
   syntax function mod "(mod %1 %2)"
   remove prop Mod_bound
   remove prop Div_mod
   remove prop Mod_1
   remove prop Div_1
end

theory int.ComputerDivision
   syntax function div "(div %1 %2)"
   syntax function mod "(mod %1 %2)"
   remove prop Mod_bound
   remove prop Div_mod
   remove prop Mod_1
   remove prop Div_1
end
*)
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(* bitvector modules, is not in smt-libv2.drv since cvc4 and z3 don't
   have the same name for the function to_int *)
theory bitvec.BitVector64
  syntax type t "(_ BitVec 64)"

  syntax function zero "#x00000000"
  syntax function ones "#xFFFFFFFF"
  syntax function bw_and "(bvand %1 %2)"
  syntax function bw_or "(bvor %1 %2)"
  syntax function bw_xor "(bvxor %1 %2)"
  syntax function bw_not "(bvnot %1)"

  syntax function add "(bvadd %1 %2)"
  syntax function sub "(bvsub %1 %2)"
  syntax function neg "(bvneg %1)"
  syntax function mul "(bvmul %1 %2)"
  syntax function udiv "(bvudiv %1 %2)"
  syntax function urem "(bvurem %1 %2)"

  syntax function lsr "(bvlshr %1 %2)"
  syntax function lsl "(bvshl %1 %2)"
  syntax function asr "(bvashr %1 %2)"
  syntax converter of_int "(_ bv%1 64)"
  syntax function to_int "(bv2nat %1)"
  remove prop to_int_of_int
  remove prop to_int_extensionality
  remove prop to_int_bounds
  syntax predicate eq "(= %1 %2)"
  remove prop Extensionality

  remove prop to_int_add
  remove prop to_int_sub
  remove prop to_int_neg
  remove prop to_int_mul
  remove prop to_int_udiv
  remove prop to_int_urem
  remove prop to_int_lsr
  remove prop to_int_lsl

  remove prop nth_ext
  remove prop Nth_zero
  remove prop Nth_ones
  remove prop Nth_bw_or
  remove prop Nth_bw_and
  remove prop Nth_bw_xor
  remove prop Nth_bw_not
  remove prop Nth_rotate_left
  remove prop Nth_rotate_right
  remove prop Lsr_nth_low
  remove prop Lsr_nth_high
  remove prop Asr_nth_low
  remove prop Asr_nth_high
  remove prop Lsl_nth_low
  remove prop Lsl_nth_high

  syntax predicate ult "(bvult %1 %2)"
  syntax predicate ule "(bvule %1 %2)"
  syntax predicate ugt "(bvugt %1 %2)"
  syntax predicate uge "(bvuge %1 %2)"

  syntax function nth
    "(not (= (bvand (bvlshr %1 %2) (_ bv1 64)) (_ bv0 64)))"

  syntax function rotate_left "(bvor (bvshl %1 (bvurem %2 (_ bv64 64))) (bvlshr %1 (bvsub (_ bv64 64) (bvurem %2 (_ bv64 64)))))"
  syntax function rotate_right "(bvor (bvlshr %1 (bvurem %2 (_ bv64 64))) (bvshl %1 (bvsub (_ bv64 64) (bvurem %2 (_ bv64 64)))))"
end

theory bitvec.BitVector32
  syntax type t "(_ BitVec 32)"

  syntax function zero "#x00000000"
  syntax function ones "#xFFFFFFFF"
  syntax function bw_and "(bvand %1 %2)"
  syntax function bw_or "(bvor %1 %2)"
  syntax function bw_xor "(bvxor %1 %2)"
  syntax function bw_not "(bvnot %1)"

  syntax function add "(bvadd %1 %2)"
  syntax function sub "(bvsub %1 %2)"
  syntax function neg "(bvneg %1)"
  syntax function mul "(bvmul %1 %2)"
  syntax function udiv "(bvudiv %1 %2)"
  syntax function urem "(bvurem %1 %2)"

  syntax function lsr "(bvlshr %1 %2)"
  syntax function lsl "(bvshl %1 %2)"
  syntax function asr "(bvashr %1 %2)"
  syntax converter of_int "(_ bv%1 32)"
  syntax function to_int "(bv2nat %1)"
  remove prop to_int_of_int
  remove prop to_int_extensionality
  remove prop to_int_bounds
  syntax predicate eq "(= %1 %2)"
  remove prop Extensionality

  remove prop to_int_add
  remove prop to_int_sub
  remove prop to_int_neg
  remove prop to_int_mul
  remove prop to_int_udiv
  remove prop to_int_urem
  remove prop to_int_lsr
  remove prop to_int_lsl

  remove prop nth_ext
  remove prop Nth_zero
  remove prop Nth_ones
  remove prop Nth_bw_or
  remove prop Nth_bw_and
  remove prop Nth_bw_xor
  remove prop Nth_bw_not
  remove prop Nth_rotate_left
  remove prop Nth_rotate_right
  remove prop Lsr_nth_low
  remove prop Lsr_nth_high
  remove prop Asr_nth_low
  remove prop Asr_nth_high
  remove prop Lsl_nth_low
  remove prop Lsl_nth_high

  syntax predicate ult "(bvult %1 %2)"
  syntax predicate ule "(bvule %1 %2)"
  syntax predicate ugt "(bvugt %1 %2)"
  syntax predicate uge "(bvuge %1 %2)"

  syntax function nth
    "(not (= (bvand (bvlshr %1 %2) (_ bv1 32)) (_ bv0 32)))"

  syntax function rotate_left "(bvor (bvshl %1 (bvurem %2 (_ bv32 32))) (bvlshr %1 (bvsub (_ bv32 32) (bvurem %2 (_ bv32 32)))))"
  syntax function rotate_right "(bvor (bvlshr %1 (bvurem %2 (_ bv32 32))) (bvshl %1 (bvsub (_ bv32 32) (bvurem %2 (_ bv32 32)))))"
end

theory bitvec.BitVector16
  syntax type t "(_ BitVec 16)"

  syntax function zero "#x0000"
  syntax function ones "#xFFFF"
  syntax function bw_and "(bvand %1 %2)"
  syntax function bw_or "(bvor %1 %2)"
  syntax function bw_xor "(bvxor %1 %2)"
  syntax function bw_not "(bvnot %1)"

  syntax function add "(bvadd %1 %2)"
  syntax function sub "(bvsub %1 %2)"
  syntax function neg "(bvneg %1)"
  syntax function mul "(bvmul %1 %2)"
  syntax function udiv "(bvudiv %1 %2)"
  syntax function urem "(bvurem %1 %2)"

  syntax function lsr "(bvlshr %1 %2)"
  syntax function lsl "(bvshl %1 %2)"
  syntax function asr "(bvashr %1 %2)"
  syntax converter of_int "(_ bv%1 16)"
  syntax function to_int "(bv2nat %1)"
  remove prop to_int_of_int
  remove prop to_int_extensionality
  remove prop to_int_bounds
  syntax predicate eq "(= %1 %2)"
  remove prop Extensionality

  remove prop to_int_add
  remove prop to_int_sub
  remove prop to_int_neg
  remove prop to_int_mul
  remove prop to_int_udiv
  remove prop to_int_urem
  remove prop to_int_lsr
  remove prop to_int_lsl

  remove prop nth_ext
  remove prop Nth_zero
  remove prop Nth_ones
  remove prop Nth_bw_or
  remove prop Nth_bw_and
  remove prop Nth_bw_xor
  remove prop Nth_bw_not
  remove prop Nth_rotate_left
  remove prop Nth_rotate_right
  remove prop Lsr_nth_low
  remove prop Lsr_nth_high
  remove prop Asr_nth_low
  remove prop Asr_nth_high
  remove prop Lsl_nth_low
  remove prop Lsl_nth_high

  syntax predicate ult "(bvult %1 %2)"
  syntax predicate ule "(bvule %1 %2)"
  syntax predicate ugt "(bvugt %1 %2)"
  syntax predicate uge "(bvuge %1 %2)"

  syntax function nth
    "(not (= (bvand (bvlshr %1 %2) (_ bv1 16)) (_ bv0 16)))"

  syntax function rotate_left "(bvor (bvshl %1 (bvurem %2 (_ bv16 16))) (bvlshr %1 (bvsub (_ bv16 16) (bvurem %2 (_ bv16 16)))))"
  syntax function rotate_right "(bvor (bvlshr %1 (bvurem %2 (_ bv16 16))) (bvshl %1 (bvsub (_ bv16 16) (bvurem %2 (_ bv16 16)))))"
end

theory bitvec.BitVector8
  syntax type t "(_ BitVec 8)"

  syntax function zero "#x00"
  syntax function ones "#xFF"
  syntax function bw_and "(bvand %1 %2)"
  syntax function bw_or "(bvor %1 %2)"
  syntax function bw_xor "(bvxor %1 %2)"
  syntax function bw_not "(bvnot %1)"

  syntax function add "(bvadd %1 %2)"
  syntax function sub "(bvsub %1 %2)"
  syntax function neg "(bvneg %1)"
  syntax function mul "(bvmul %1 %2)"
  syntax function udiv "(bvudiv %1 %2)"
  syntax function urem "(bvurem %1 %2)"

  syntax function lsr "(bvlshr %1 %2)"
  syntax function lsl "(bvshl %1 %2)"
  syntax function asr "(bvashr %1 %2)"
  syntax converter of_int "(_ bv%1 8)"
  syntax function to_int "(bv2nat %1)"
  remove prop to_int_of_int
  remove prop to_int_extensionality
  remove prop to_int_bounds
  syntax predicate eq "(= %1 %2)"
  remove prop Extensionality

  remove prop to_int_add
  remove prop to_int_sub
  remove prop to_int_neg
  remove prop to_int_mul
  remove prop to_int_udiv
  remove prop to_int_urem
  remove prop to_int_lsr
  remove prop to_int_lsl

  remove prop nth_ext
  remove prop Nth_zero
  remove prop Nth_ones
  remove prop Nth_bw_or
  remove prop Nth_bw_and
  remove prop Nth_bw_xor
  remove prop Nth_bw_not
  remove prop Nth_rotate_left
  remove prop Nth_rotate_right
  remove prop Lsr_nth_low
  remove prop Lsr_nth_high
  remove prop Asr_nth_low
  remove prop Asr_nth_high
  remove prop Lsl_nth_low
  remove prop Lsl_nth_high

  syntax predicate ult "(bvult %1 %2)"
  syntax predicate ule "(bvule %1 %2)"
  syntax predicate ugt "(bvugt %1 %2)"
  syntax predicate uge "(bvuge %1 %2)"

  syntax function nth
    "(not (= (bvand (bvlshr %1 %2) (_ bv1 8)) (_ bv0 8)))"

  syntax function rotate_left "(bvor (bvshl %1 (bvurem %2 (_ bv8 8))) (bvlshr %1 (bvsub (_ bv8 8) (bvurem %2 (_ bv8 8)))))"
  syntax function rotate_right "(bvor (bvlshr %1 (bvurem %2 (_ bv8 8))) (bvshl %1 (bvsub (_ bv8 8) (bvurem %2 (_ bv8 8)))))"
end