author | paulson |
Wed, 27 Jun 2007 12:41:36 +0200 | |
changeset 23510 | 4521fead5609 |
parent 23442 | 028e39e5e8f3 |
child 24316 | 3880d21d6013 |
permissions | -rw-r--r-- |
23442
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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(* ========================================================================= *) |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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(* CLAUSE = ID + THEOREM *) |
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(* Copyright (c) 2002-2004 Joe Hurd, distributed under the BSD License *) |
23442
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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(* ========================================================================= *) |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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|
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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structure Clause :> Clause = |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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struct |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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|
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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open Useful; |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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|
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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(* ------------------------------------------------------------------------- *) |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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(* Helper functions. *) |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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(* ------------------------------------------------------------------------- *) |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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|
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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val newId = |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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let |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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val r = ref 0 |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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in |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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fn () => case r of ref n => let val () = r := n + 1 in n end |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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end; |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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|
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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(* ------------------------------------------------------------------------- *) |
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The Metis prover (slightly modified version from Larry);
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(* A type of clause. *) |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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(* ------------------------------------------------------------------------- *) |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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|
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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datatype literalOrder = |
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The Metis prover (slightly modified version from Larry);
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NoLiteralOrder |
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The Metis prover (slightly modified version from Larry);
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| UnsignedLiteralOrder |
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The Metis prover (slightly modified version from Larry);
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| PositiveLiteralOrder; |
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The Metis prover (slightly modified version from Larry);
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|
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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type parameters = |
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The Metis prover (slightly modified version from Larry);
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{ordering : KnuthBendixOrder.kbo, |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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orderLiterals : literalOrder, |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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orderTerms : bool}; |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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|
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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type clauseId = int; |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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|
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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type clauseInfo = {parameters : parameters, id : clauseId, thm : Thm.thm}; |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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|
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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datatype clause = Clause of clauseInfo; |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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|
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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(* ------------------------------------------------------------------------- *) |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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(* Pretty printing. *) |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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(* ------------------------------------------------------------------------- *) |
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The Metis prover (slightly modified version from Larry);
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|
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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val showId = ref false; |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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|
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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local |
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The Metis prover (slightly modified version from Larry);
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val ppIdThm = Parser.ppPair Parser.ppInt Thm.pp; |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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in |
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The Metis prover (slightly modified version from Larry);
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fun pp p (Clause {id,thm,...}) = |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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if !showId then ppIdThm p (id,thm) else Thm.pp p thm; |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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end; |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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|
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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(* ------------------------------------------------------------------------- *) |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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(* Basic operations. *) |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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(* ------------------------------------------------------------------------- *) |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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|
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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val default : parameters = |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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{ordering = KnuthBendixOrder.default, |
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The Metis prover (slightly modified version from Larry);
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orderLiterals = UnsignedLiteralOrder, (*LCP: changed from PositiveLiteralOrder*) |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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orderTerms = true}; |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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|
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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fun mk info = Clause info |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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|
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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fun dest (Clause info) = info; |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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|
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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fun id (Clause {id = i, ...}) = i; |
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The Metis prover (slightly modified version from Larry);
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|
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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fun thm (Clause {thm = th, ...}) = th; |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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|
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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fun equalThms cl cl' = Thm.equal (thm cl) (thm cl'); |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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73 |
|
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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fun new parameters thm = |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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Clause {parameters = parameters, id = newId (), thm = thm}; |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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76 |
|
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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fun literals cl = Thm.clause (thm cl); |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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78 |
|
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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fun isTautology (Clause {thm,...}) = Thm.isTautology thm; |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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80 |
|
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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fun isContradiction (Clause {thm,...}) = Thm.isContradiction thm; |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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82 |
|
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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83 |
(* ------------------------------------------------------------------------- *) |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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84 |
(* The term ordering is used to cut down inferences. *) |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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85 |
(* ------------------------------------------------------------------------- *) |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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86 |
|
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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87 |
fun strictlyLess ordering x_y = |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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88 |
case KnuthBendixOrder.compare ordering x_y of |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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SOME LESS => true |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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| _ => false; |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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91 |
|
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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fun isLargerTerm ({ordering,orderTerms,...} : parameters) l_r = |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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93 |
not orderTerms orelse not (strictlyLess ordering l_r); |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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94 |
|
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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95 |
local |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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96 |
fun atomToTerms atm = |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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Term.Fn atm :: |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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(case total Atom.sym atm of NONE => [] | SOME atm => [Term.Fn atm]); |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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99 |
|
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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fun notStrictlyLess ordering (xs,ys) = |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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101 |
let |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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102 |
fun less x = List.exists (fn y => strictlyLess ordering (x,y)) ys |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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103 |
in |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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104 |
not (List.all less xs) |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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105 |
end; |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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106 |
in |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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107 |
fun isLargerLiteral ({ordering,orderLiterals,...} : parameters) lits = |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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108 |
case orderLiterals of |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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109 |
NoLiteralOrder => K true |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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110 |
| UnsignedLiteralOrder => |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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111 |
let |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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112 |
fun addLit ((_,atm),acc) = atomToTerms atm @ acc |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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113 |
|
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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114 |
val tms = LiteralSet.foldl addLit [] lits |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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115 |
in |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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116 |
fn (_,atm') => notStrictlyLess ordering (atomToTerms atm', tms) |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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117 |
end |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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118 |
| PositiveLiteralOrder => |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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119 |
case LiteralSet.findl (K true) lits of |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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120 |
NONE => K true |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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121 |
| SOME (pol,_) => |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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122 |
let |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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123 |
fun addLit ((p,atm),acc) = |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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124 |
if p = pol then atomToTerms atm @ acc else acc |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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125 |
|
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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126 |
val tms = LiteralSet.foldl addLit [] lits |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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127 |
in |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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128 |
fn (pol',atm') => |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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129 |
if pol <> pol' then pol |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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130 |
else notStrictlyLess ordering (atomToTerms atm', tms) |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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131 |
end; |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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132 |
end; |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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133 |
|
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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134 |
fun largestLiterals (Clause {parameters,thm,...}) = |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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135 |
let |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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136 |
val litSet = Thm.clause thm |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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137 |
val isLarger = isLargerLiteral parameters litSet |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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138 |
fun addLit (lit,s) = if isLarger lit then LiteralSet.add s lit else s |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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parents:
diff
changeset
|
139 |
in |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
wenzelm
parents:
diff
changeset
|
140 |
LiteralSet.foldr addLit LiteralSet.empty litSet |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
wenzelm
parents:
diff
changeset
|
141 |
end; |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
wenzelm
parents:
diff
changeset
|
142 |
|
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
wenzelm
parents:
diff
changeset
|
143 |
(*TRACE6 |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
wenzelm
parents:
diff
changeset
|
144 |
val largestLiterals = fn cl => |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
wenzelm
parents:
diff
changeset
|
145 |
let |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
wenzelm
parents:
diff
changeset
|
146 |
val ppResult = LiteralSet.pp |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
wenzelm
parents:
diff
changeset
|
147 |
val () = Parser.ppTrace pp "Clause.largestLiterals: cl" cl |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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parents:
diff
changeset
|
148 |
val result = largestLiterals cl |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
wenzelm
parents:
diff
changeset
|
149 |
val () = Parser.ppTrace ppResult "Clause.largestLiterals: result" result |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
wenzelm
parents:
diff
changeset
|
150 |
in |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
wenzelm
parents:
diff
changeset
|
151 |
result |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
wenzelm
parents:
diff
changeset
|
152 |
end; |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
wenzelm
parents:
diff
changeset
|
153 |
*) |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
wenzelm
parents:
diff
changeset
|
154 |
|
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
wenzelm
parents:
diff
changeset
|
155 |
fun largestEquations (cl as Clause {parameters,...}) = |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
wenzelm
parents:
diff
changeset
|
156 |
let |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
wenzelm
parents:
diff
changeset
|
157 |
fun addEq lit ort (l_r as (l,_)) acc = |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
wenzelm
parents:
diff
changeset
|
158 |
if isLargerTerm parameters l_r then (lit,ort,l) :: acc else acc |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
wenzelm
parents:
diff
changeset
|
159 |
|
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
wenzelm
parents:
diff
changeset
|
160 |
fun addLit (lit,acc) = |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
wenzelm
parents:
diff
changeset
|
161 |
case total Literal.destEq lit of |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
wenzelm
parents:
diff
changeset
|
162 |
NONE => acc |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
wenzelm
parents:
diff
changeset
|
163 |
| SOME (l,r) => |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
wenzelm
parents:
diff
changeset
|
164 |
let |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
wenzelm
parents:
diff
changeset
|
165 |
val acc = addEq lit Rewrite.RightToLeft (r,l) acc |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
wenzelm
parents:
diff
changeset
|
166 |
val acc = addEq lit Rewrite.LeftToRight (l,r) acc |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
wenzelm
parents:
diff
changeset
|
167 |
in |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
wenzelm
parents:
diff
changeset
|
168 |
acc |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
wenzelm
parents:
diff
changeset
|
169 |
end |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
wenzelm
parents:
diff
changeset
|
170 |
in |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
wenzelm
parents:
diff
changeset
|
171 |
LiteralSet.foldr addLit [] (largestLiterals cl) |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
wenzelm
parents:
diff
changeset
|
172 |
end; |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
wenzelm
parents:
diff
changeset
|
173 |
|
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
wenzelm
parents:
diff
changeset
|
174 |
local |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
wenzelm
parents:
diff
changeset
|
175 |
fun addLit (lit,acc) = |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
wenzelm
parents:
diff
changeset
|
176 |
let |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
wenzelm
parents:
diff
changeset
|
177 |
fun addTm ((path,tm),acc) = (lit,path,tm) :: acc |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
wenzelm
parents:
diff
changeset
|
178 |
in |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
wenzelm
parents:
diff
changeset
|
179 |
foldl addTm acc (Literal.nonVarTypedSubterms lit) |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
wenzelm
parents:
diff
changeset
|
180 |
end; |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
wenzelm
parents:
diff
changeset
|
181 |
in |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
wenzelm
parents:
diff
changeset
|
182 |
fun largestSubterms cl = LiteralSet.foldl addLit [] (largestLiterals cl); |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
wenzelm
parents:
diff
changeset
|
183 |
|
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
wenzelm
parents:
diff
changeset
|
184 |
fun allSubterms cl = LiteralSet.foldl addLit [] (literals cl); |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
wenzelm
parents:
diff
changeset
|
185 |
end; |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
wenzelm
parents:
diff
changeset
|
186 |
|
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
wenzelm
parents:
diff
changeset
|
187 |
(* ------------------------------------------------------------------------- *) |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
wenzelm
parents:
diff
changeset
|
188 |
(* Subsumption. *) |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
wenzelm
parents:
diff
changeset
|
189 |
(* ------------------------------------------------------------------------- *) |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
wenzelm
parents:
diff
changeset
|
190 |
|
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
wenzelm
parents:
diff
changeset
|
191 |
fun subsumes (subs : clause Subsume.subsume) cl = |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
wenzelm
parents:
diff
changeset
|
192 |
Subsume.isStrictlySubsumed subs (literals cl); |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
wenzelm
parents:
diff
changeset
|
193 |
|
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
wenzelm
parents:
diff
changeset
|
194 |
(* ------------------------------------------------------------------------- *) |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
wenzelm
parents:
diff
changeset
|
195 |
(* Simplifying rules: these preserve the clause id. *) |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
wenzelm
parents:
diff
changeset
|
196 |
(* ------------------------------------------------------------------------- *) |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
wenzelm
parents:
diff
changeset
|
197 |
|
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
wenzelm
parents:
diff
changeset
|
198 |
fun freshVars (Clause {parameters,id,thm}) = |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
wenzelm
parents:
diff
changeset
|
199 |
Clause {parameters = parameters, id = id, thm = Rule.freshVars thm}; |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
wenzelm
parents:
diff
changeset
|
200 |
|
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
wenzelm
parents:
diff
changeset
|
201 |
fun simplify (Clause {parameters,id,thm}) = |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
wenzelm
parents:
diff
changeset
|
202 |
case Rule.simplify thm of |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
wenzelm
parents:
diff
changeset
|
203 |
NONE => NONE |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
wenzelm
parents:
diff
changeset
|
204 |
| SOME thm => SOME (Clause {parameters = parameters, id = id, thm = thm}); |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
wenzelm
parents:
diff
changeset
|
205 |
|
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
wenzelm
parents:
diff
changeset
|
206 |
fun reduce units (Clause {parameters,id,thm}) = |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
wenzelm
parents:
diff
changeset
|
207 |
Clause {parameters = parameters, id = id, thm = Units.reduce units thm}; |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
wenzelm
parents:
diff
changeset
|
208 |
|
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
wenzelm
parents:
diff
changeset
|
209 |
fun rewrite rewr (cl as Clause {parameters,id,thm}) = |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
wenzelm
parents:
diff
changeset
|
210 |
let |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
wenzelm
parents:
diff
changeset
|
211 |
fun simp th = |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
wenzelm
parents:
diff
changeset
|
212 |
let |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
wenzelm
parents:
diff
changeset
|
213 |
val {ordering,...} = parameters |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
wenzelm
parents:
diff
changeset
|
214 |
val cmp = KnuthBendixOrder.compare ordering |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
wenzelm
parents:
diff
changeset
|
215 |
in |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
wenzelm
parents:
diff
changeset
|
216 |
Rewrite.rewriteIdRule rewr cmp id th |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
wenzelm
parents:
diff
changeset
|
217 |
end |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
wenzelm
parents:
diff
changeset
|
218 |
|
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
wenzelm
parents:
diff
changeset
|
219 |
(*TRACE4 |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
wenzelm
parents:
diff
changeset
|
220 |
val () = Parser.ppTrace Rewrite.pp "Clause.rewrite: rewr" rewr |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
wenzelm
parents:
diff
changeset
|
221 |
val () = Parser.ppTrace Parser.ppInt "Clause.rewrite: id" id |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
wenzelm
parents:
diff
changeset
|
222 |
val () = Parser.ppTrace pp "Clause.rewrite: cl" cl |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
wenzelm
parents:
diff
changeset
|
223 |
*) |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
wenzelm
parents:
diff
changeset
|
224 |
|
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
wenzelm
parents:
diff
changeset
|
225 |
val thm = |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
wenzelm
parents:
diff
changeset
|
226 |
case Rewrite.peek rewr id of |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
wenzelm
parents:
diff
changeset
|
227 |
NONE => simp thm |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
wenzelm
parents:
diff
changeset
|
228 |
| SOME ((_,thm),_) => if Rewrite.isReduced rewr then thm else simp thm |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
wenzelm
parents:
diff
changeset
|
229 |
|
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
wenzelm
parents:
diff
changeset
|
230 |
val result = Clause {parameters = parameters, id = id, thm = thm} |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
wenzelm
parents:
diff
changeset
|
231 |
|
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
wenzelm
parents:
diff
changeset
|
232 |
(*TRACE4 |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
wenzelm
parents:
diff
changeset
|
233 |
val () = Parser.ppTrace pp "Clause.rewrite: result" result |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
wenzelm
parents:
diff
changeset
|
234 |
*) |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
wenzelm
parents:
diff
changeset
|
235 |
in |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
wenzelm
parents:
diff
changeset
|
236 |
result |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
wenzelm
parents:
diff
changeset
|
237 |
end |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
wenzelm
parents:
diff
changeset
|
238 |
(*DEBUG |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
wenzelm
parents:
diff
changeset
|
239 |
handle Error err => raise Error ("Clause.rewrite:\n" ^ err); |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
wenzelm
parents:
diff
changeset
|
240 |
*) |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
wenzelm
parents:
diff
changeset
|
241 |
|
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
wenzelm
parents:
diff
changeset
|
242 |
(* ------------------------------------------------------------------------- *) |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
wenzelm
parents:
diff
changeset
|
243 |
(* Inference rules: these generate new clause ids. *) |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
wenzelm
parents:
diff
changeset
|
244 |
(* ------------------------------------------------------------------------- *) |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
wenzelm
parents:
diff
changeset
|
245 |
|
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
wenzelm
parents:
diff
changeset
|
246 |
fun factor (cl as Clause {parameters,thm,...}) = |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
wenzelm
parents:
diff
changeset
|
247 |
let |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
wenzelm
parents:
diff
changeset
|
248 |
val lits = largestLiterals cl |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
wenzelm
parents:
diff
changeset
|
249 |
|
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
wenzelm
parents:
diff
changeset
|
250 |
fun apply sub = new parameters (Thm.subst sub thm) |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
wenzelm
parents:
diff
changeset
|
251 |
in |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
wenzelm
parents:
diff
changeset
|
252 |
map apply (Rule.factor' lits) |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
wenzelm
parents:
diff
changeset
|
253 |
end; |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
wenzelm
parents:
diff
changeset
|
254 |
|
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
wenzelm
parents:
diff
changeset
|
255 |
(*TRACE5 |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
wenzelm
parents:
diff
changeset
|
256 |
val factor = fn cl => |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
wenzelm
parents:
diff
changeset
|
257 |
let |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
wenzelm
parents:
diff
changeset
|
258 |
val () = Parser.ppTrace pp "Clause.factor: cl" cl |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
wenzelm
parents:
diff
changeset
|
259 |
val result = factor cl |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
wenzelm
parents:
diff
changeset
|
260 |
val () = Parser.ppTrace (Parser.ppList pp) "Clause.factor: result" result |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
wenzelm
parents:
diff
changeset
|
261 |
in |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
wenzelm
parents:
diff
changeset
|
262 |
result |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
wenzelm
parents:
diff
changeset
|
263 |
end; |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
wenzelm
parents:
diff
changeset
|
264 |
*) |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
wenzelm
parents:
diff
changeset
|
265 |
|
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
wenzelm
parents:
diff
changeset
|
266 |
fun resolve (cl1,lit1) (cl2,lit2) = |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
wenzelm
parents:
diff
changeset
|
267 |
let |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
wenzelm
parents:
diff
changeset
|
268 |
(*TRACE5 |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
wenzelm
parents:
diff
changeset
|
269 |
val () = Parser.ppTrace pp "Clause.resolve: cl1" cl1 |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
wenzelm
parents:
diff
changeset
|
270 |
val () = Parser.ppTrace Literal.pp "Clause.resolve: lit1" lit1 |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
wenzelm
parents:
diff
changeset
|
271 |
val () = Parser.ppTrace pp "Clause.resolve: cl2" cl2 |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
wenzelm
parents:
diff
changeset
|
272 |
val () = Parser.ppTrace Literal.pp "Clause.resolve: lit2" lit2 |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
wenzelm
parents:
diff
changeset
|
273 |
*) |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
wenzelm
parents:
diff
changeset
|
274 |
val Clause {parameters, thm = th1, ...} = cl1 |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
wenzelm
parents:
diff
changeset
|
275 |
and Clause {thm = th2, ...} = cl2 |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
wenzelm
parents:
diff
changeset
|
276 |
val sub = Literal.unify Subst.empty lit1 (Literal.negate lit2) |
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277 |
(*TRACE5 |
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val () = Parser.ppTrace Subst.pp "Clause.resolve: sub" sub |
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279 |
*) |
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280 |
val lit1 = Literal.subst sub lit1 |
028e39e5e8f3
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281 |
val lit2 = Literal.negate lit1 |
028e39e5e8f3
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282 |
val th1 = Thm.subst sub th1 |
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283 |
and th2 = Thm.subst sub th2 |
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The Metis prover (slightly modified version from Larry);
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284 |
val _ = isLargerLiteral parameters (Thm.clause th1) lit1 orelse |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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285 |
(*TRACE5 |
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The Metis prover (slightly modified version from Larry);
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|
286 |
(trace "Clause.resolve: th1 violates ordering\n"; false) orelse |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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287 |
*) |
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The Metis prover (slightly modified version from Larry);
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288 |
raise Error "resolve: clause1: ordering constraints" |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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289 |
val _ = isLargerLiteral parameters (Thm.clause th2) lit2 orelse |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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290 |
(*TRACE5 |
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The Metis prover (slightly modified version from Larry);
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291 |
(trace "Clause.resolve: th2 violates ordering\n"; false) orelse |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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292 |
*) |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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293 |
raise Error "resolve: clause2: ordering constraints" |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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294 |
val th = Thm.resolve lit1 th1 th2 |
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The Metis prover (slightly modified version from Larry);
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295 |
(*TRACE5 |
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296 |
val () = Parser.ppTrace Thm.pp "Clause.resolve: th" th |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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|
297 |
*) |
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The Metis prover (slightly modified version from Larry);
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298 |
val cl = Clause {parameters = parameters, id = newId (), thm = th} |
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The Metis prover (slightly modified version from Larry);
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299 |
(*TRACE5 |
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The Metis prover (slightly modified version from Larry);
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300 |
val () = Parser.ppTrace pp "Clause.resolve: cl" cl |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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301 |
*) |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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302 |
in |
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The Metis prover (slightly modified version from Larry);
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303 |
cl |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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304 |
end; |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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305 |
|
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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306 |
fun paramodulate (cl1,lit1,ort,tm1) (cl2,lit2,path,tm2) = |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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307 |
let |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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changeset
|
308 |
(*TRACE5 |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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|
309 |
val () = Parser.ppTrace pp "Clause.paramodulate: cl1" cl1 |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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parents:
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|
310 |
val () = Parser.ppTrace Literal.pp "Clause.paramodulate: lit1" lit1 |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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parents:
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|
311 |
val () = Parser.ppTrace pp "Clause.paramodulate: cl2" cl2 |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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parents:
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|
312 |
val () = Parser.ppTrace Literal.pp "Clause.paramodulate: lit2" lit2 |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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|
313 |
*) |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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parents:
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|
314 |
val Clause {parameters, thm = th1, ...} = cl1 |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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parents:
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|
315 |
and Clause {thm = th2, ...} = cl2 |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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parents:
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|
316 |
val sub = Subst.unify Subst.empty tm1 tm2 |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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parents:
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|
317 |
val lit1 = Literal.subst sub lit1 |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
wenzelm
parents:
diff
changeset
|
318 |
and lit2 = Literal.subst sub lit2 |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
wenzelm
parents:
diff
changeset
|
319 |
and th1 = Thm.subst sub th1 |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
wenzelm
parents:
diff
changeset
|
320 |
and th2 = Thm.subst sub th2 |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
wenzelm
parents:
diff
changeset
|
321 |
val _ = isLargerLiteral parameters (Thm.clause th1) lit1 orelse |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
wenzelm
parents:
diff
changeset
|
322 |
(*TRACE5 |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
wenzelm
parents:
diff
changeset
|
323 |
(trace "Clause.paramodulate: cl1 ordering\n"; false) orelse |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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parents:
diff
changeset
|
324 |
*) |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
wenzelm
parents:
diff
changeset
|
325 |
raise Error "paramodulate: with clause: ordering constraints" |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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parents:
diff
changeset
|
326 |
val _ = isLargerLiteral parameters (Thm.clause th2) lit2 orelse |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
wenzelm
parents:
diff
changeset
|
327 |
(*TRACE5 |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
wenzelm
parents:
diff
changeset
|
328 |
(trace "Clause.paramodulate: cl2 ordering\n"; false) orelse |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
wenzelm
parents:
diff
changeset
|
329 |
*) |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
wenzelm
parents:
diff
changeset
|
330 |
raise Error "paramodulate: into clause: ordering constraints" |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
wenzelm
parents:
diff
changeset
|
331 |
val eqn = (Literal.destEq lit1, th1) |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
wenzelm
parents:
diff
changeset
|
332 |
val eqn as (l_r,_) = |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
wenzelm
parents:
diff
changeset
|
333 |
case ort of |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
wenzelm
parents:
diff
changeset
|
334 |
Rewrite.LeftToRight => eqn |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
wenzelm
parents:
diff
changeset
|
335 |
| Rewrite.RightToLeft => Rule.symEqn eqn |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
wenzelm
parents:
diff
changeset
|
336 |
val _ = isLargerTerm parameters l_r orelse |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
wenzelm
parents:
diff
changeset
|
337 |
(*TRACE5 |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
wenzelm
parents:
diff
changeset
|
338 |
(trace "Clause.paramodulate: eqn ordering\n"; false) orelse |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
wenzelm
parents:
diff
changeset
|
339 |
*) |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
wenzelm
parents:
diff
changeset
|
340 |
raise Error "paramodulate: equation: ordering constraints" |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
wenzelm
parents:
diff
changeset
|
341 |
val th = Rule.rewrRule eqn lit2 path th2 |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
wenzelm
parents:
diff
changeset
|
342 |
(*TRACE5 |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
wenzelm
parents:
diff
changeset
|
343 |
val () = Parser.ppTrace Thm.pp "Clause.paramodulate: th" th |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
wenzelm
parents:
diff
changeset
|
344 |
*) |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
wenzelm
parents:
diff
changeset
|
345 |
in |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
wenzelm
parents:
diff
changeset
|
346 |
Clause {parameters = parameters, id = newId (), thm = th} |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
wenzelm
parents:
diff
changeset
|
347 |
end; |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
wenzelm
parents:
diff
changeset
|
348 |
|
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
wenzelm
parents:
diff
changeset
|
349 |
end |