src/HOL/Sledgehammer.thy

--- a/src/HOL/Sledgehammer.thy	Fri Mar 19 06:14:37 2010 +0100
+++ b/src/HOL/Sledgehammer.thy	Fri Mar 19 13:02:18 2010 +0100
@@ -1,7 +1,8 @@
 (*  Title:      HOL/Sledgehammer.thy
     Author:     Lawrence C Paulson
     Author:     Jia Meng, NICTA
-    Author:     Fabian Immler, TUM
+    Author:     Fabian Immler, TU Muenchen
+    Author:     Jasmin Blanchette, TU Muenchen
 *)
 
 header {* Sledgehammer: Isabelle--ATP Linkup *}
@@ -10,7 +11,8 @@
 imports Plain Hilbert_Choice
 uses
   "Tools/polyhash.ML"
-  "Tools/Sledgehammer/sledgehammer_fol_clause.ML"
+  "~~/src/Tools/Metis/metis.ML"
+  ("Tools/Sledgehammer/sledgehammer_fol_clause.ML")
   ("Tools/Sledgehammer/sledgehammer_fact_preprocessor.ML")
   ("Tools/Sledgehammer/sledgehammer_hol_clause.ML")
   ("Tools/Sledgehammer/sledgehammer_proof_reconstruct.ML")
@@ -18,79 +20,79 @@
   ("Tools/ATP_Manager/atp_manager.ML")
   ("Tools/ATP_Manager/atp_wrapper.ML")
   ("Tools/ATP_Manager/atp_minimal.ML")
-  "~~/src/Tools/Metis/metis.ML"
+  ("Tools/Sledgehammer/meson_tactic.ML")
   ("Tools/Sledgehammer/metis_tactics.ML")
 begin
 
-definition COMBI :: "'a => 'a"
-  where "COMBI P == P"
+definition COMBI :: "'a \<Rightarrow> 'a"
+  where "COMBI P \<equiv> P"
 
-definition COMBK :: "'a => 'b => 'a"
-  where "COMBK P Q == P"
+definition COMBK :: "'a \<Rightarrow> 'b \<Rightarrow> 'a"
+  where "COMBK P Q \<equiv> P"
 
-definition COMBB :: "('b => 'c) => ('a => 'b) => 'a => 'c"
-  where "COMBB P Q R == P (Q R)"
+definition COMBB :: "('b => 'c) \<Rightarrow> ('a => 'b) \<Rightarrow> 'a \<Rightarrow> 'c"
+  where "COMBB P Q R \<equiv> P (Q R)"
 
-definition COMBC :: "('a => 'b => 'c) => 'b => 'a => 'c"
-  where "COMBC P Q R == P R Q"
+definition COMBC :: "('a \<Rightarrow> 'b \<Rightarrow> 'c) \<Rightarrow> 'b \<Rightarrow> 'a \<Rightarrow> 'c"
+  where "COMBC P Q R \<equiv> P R Q"
 
-definition COMBS :: "('a => 'b => 'c) => ('a => 'b) => 'a => 'c"
-  where "COMBS P Q R == P R (Q R)"
+definition COMBS :: "('a \<Rightarrow> 'b \<Rightarrow> 'c) \<Rightarrow> ('a \<Rightarrow> 'b) \<Rightarrow> 'a \<Rightarrow> 'c"
+  where "COMBS P Q R \<equiv> P R (Q R)"
 
-definition fequal :: "'a => 'a => bool"
-  where "fequal X Y == (X=Y)"
+definition fequal :: "'a \<Rightarrow> 'a \<Rightarrow> bool"
+  where "fequal X Y \<equiv> (X = Y)"
 
-lemma fequal_imp_equal: "fequal X Y ==> X=Y"
+lemma fequal_imp_equal: "fequal X Y \<Longrightarrow> X = Y"
   by (simp add: fequal_def)
 
-lemma equal_imp_fequal: "X=Y ==> fequal X Y"
+lemma equal_imp_fequal: "X = Y \<Longrightarrow> fequal X Y"
   by (simp add: fequal_def)
 
 text{*These two represent the equivalence between Boolean equality and iff.
 They can't be converted to clauses automatically, as the iff would be
 expanded...*}
 
-lemma iff_positive: "P | Q | P=Q"
+lemma iff_positive: "P \<or> Q \<or> P = Q"
 by blast
 
-lemma iff_negative: "~P | ~Q | P=Q"
+lemma iff_negative: "\<not> P \<or> \<not> Q \<or> P = Q"
 by blast
 
 text{*Theorems for translation to combinators*}
 
-lemma abs_S: "(%x. (f x) (g x)) == COMBS f g"
+lemma abs_S: "\<lambda>x. (f x) (g x) \<equiv> COMBS f g"
 apply (rule eq_reflection)
 apply (rule ext) 
 apply (simp add: COMBS_def) 
 done
 
-lemma abs_I: "(%x. x) == COMBI"
+lemma abs_I: "\<lambda>x. x \<equiv> COMBI"
 apply (rule eq_reflection)
 apply (rule ext) 
 apply (simp add: COMBI_def) 
 done
 
-lemma abs_K: "(%x. y) == COMBK y"
+lemma abs_K: "\<lambda>x. y \<equiv> COMBK y"
 apply (rule eq_reflection)
 apply (rule ext) 
 apply (simp add: COMBK_def) 
 done
 
-lemma abs_B: "(%x. a (g x)) == COMBB a g"
+lemma abs_B: "\<lambda>x. a (g x) \<equiv> COMBB a g"
 apply (rule eq_reflection)
 apply (rule ext) 
 apply (simp add: COMBB_def) 
 done
 
-lemma abs_C: "(%x. (f x) b) == COMBC f b"
+lemma abs_C: "\<lambda>x. (f x) b \<equiv> COMBC f b"
 apply (rule eq_reflection)
 apply (rule ext) 
 apply (simp add: COMBC_def) 
 done
 
-
 subsection {* Setup of external ATPs *}
 
+use "Tools/Sledgehammer/sledgehammer_fol_clause.ML"
 use "Tools/Sledgehammer/sledgehammer_fact_preprocessor.ML"
 setup Sledgehammer_Fact_Preprocessor.setup
 use "Tools/Sledgehammer/sledgehammer_hol_clause.ML"
@@ -119,7 +121,12 @@
 setup {* ATP_Manager.add_prover ATP_Wrapper.remote_vampire *}
 setup {* ATP_Manager.add_prover ATP_Wrapper.remote_spass *}
 setup {* ATP_Manager.add_prover ATP_Wrapper.remote_eprover *}
-  
+
+
+subsection {* The MESON prover *}
+
+use "Tools/Sledgehammer/meson_tactic.ML"
+setup Meson_Tactic.setup
 
 
 subsection {* The Metis prover *}