src/HOL/ATP_Linkup.thy
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(*  Title:      HOL/ATP_Linkup.thy
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    ID:         $Id$
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    Author:     Lawrence C Paulson
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    Author:     Jia Meng, NICTA
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    Author:     Fabian Immler, TUM
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*)
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header {* The Isabelle-ATP Linkup *}
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theory ATP_Linkup
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imports Record Hilbert_Choice
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uses
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  "Tools/polyhash.ML"
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  "Tools/res_clause.ML"
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  ("Tools/res_axioms.ML")
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  ("Tools/res_hol_clause.ML")
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  ("Tools/res_reconstruct.ML")
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  ("Tools/res_atp.ML")
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  ("Tools/atp_manager.ML")
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  ("Tools/atp_wrapper.ML")
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  "~~/src/Tools/Metis/metis.ML"
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  ("Tools/metis_tools.ML")
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begin
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definition COMBI :: "'a => 'a"
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  where "COMBI P == P"
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definition COMBK :: "'a => 'b => 'a"
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  where "COMBK P Q == P"
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definition COMBB :: "('b => 'c) => ('a => 'b) => 'a => 'c"
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  where "COMBB P Q R == P (Q R)"
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definition COMBC :: "('a => 'b => 'c) => 'b => 'a => 'c"
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  where "COMBC P Q R == P R Q"
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definition COMBS :: "('a => 'b => 'c) => ('a => 'b) => 'a => 'c"
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  where "COMBS P Q R == P R (Q R)"
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definition fequal :: "'a => 'a => bool"
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  where "fequal X Y == (X=Y)"
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lemma fequal_imp_equal: "fequal X Y ==> X=Y"
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  by (simp add: fequal_def)
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lemma equal_imp_fequal: "X=Y ==> fequal X Y"
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  by (simp add: fequal_def)
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text{*These two represent the equivalence between Boolean equality and iff.
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They can't be converted to clauses automatically, as the iff would be
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expanded...*}
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lemma iff_positive: "P | Q | P=Q"
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by blast
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lemma iff_negative: "~P | ~Q | P=Q"
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by blast
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text{*Theorems for translation to combinators*}
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lemma abs_S: "(%x. (f x) (g x)) == COMBS f g"
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apply (rule eq_reflection)
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apply (rule ext) 
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apply (simp add: COMBS_def) 
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done
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lemma abs_I: "(%x. x) == COMBI"
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apply (rule eq_reflection)
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apply (rule ext) 
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apply (simp add: COMBI_def) 
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done
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lemma abs_K: "(%x. y) == COMBK y"
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apply (rule eq_reflection)
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apply (rule ext) 
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apply (simp add: COMBK_def) 
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done
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lemma abs_B: "(%x. a (g x)) == COMBB a g"
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apply (rule eq_reflection)
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apply (rule ext) 
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apply (simp add: COMBB_def) 
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done
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lemma abs_C: "(%x. (f x) b) == COMBC f b"
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apply (rule eq_reflection)
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apply (rule ext) 
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apply (simp add: COMBC_def) 
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done
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subsection {* Setup of external ATPs *}
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use "Tools/res_axioms.ML" setup ResAxioms.setup
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use "Tools/res_hol_clause.ML"
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use "Tools/res_reconstruct.ML" setup ResReconstruct.setup
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use "Tools/res_atp.ML"
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use "Tools/atp_manager.ML"
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use "Tools/atp_wrapper.ML"
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text {* basic provers *}
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setup {* AtpManager.add_prover "spass" AtpWrapper.spass *}
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setup {* AtpManager.add_prover "vampire" AtpWrapper.vampire *}
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setup {* AtpManager.add_prover "e" AtpWrapper.eprover *}
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text {* provers with stuctured output *}
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setup {* AtpManager.add_prover "vampire_full" AtpWrapper.vampire_full *}
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setup {* AtpManager.add_prover "e_full" AtpWrapper.eprover_full *}
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text {* on some problems better results *}
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setup {* AtpManager.add_prover "spass_no_tc" (AtpWrapper.spass_opts 40 false) *}
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text {* remote provers via SystemOnTPTP *}
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setup {* AtpManager.add_prover "remote_vamp9"
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  (AtpWrapper.remote_prover "Vampire---9.0" "jumpirefix --output_syntax tptp --mode casc -t 3600") *}
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setup {* AtpManager.add_prover "remote_vamp10"
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  (AtpWrapper.remote_prover "Vampire---10.0" "drakosha.pl 60") *}
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subsection {* The Metis prover *}
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use "Tools/metis_tools.ML"
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setup MetisTools.setup
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end