(* 

 use"systest/tacis.sml";

 use"tacis.sml";

   *)

"=================================================================";

"------ fetchProposedTactic -> autoCalculate (Step1 ) ------------";

"------ setNextTactic -> autoCalculate (Step1 ) ------------------";

"=================================================================";

"------ fetchProposedTactic -> autoCalculate (Step1 ) ------------";

"------ fetchProposedTactic -> autoCalculate (Step1 ) ------------";

"------ fetchProposedTactic -> autoCalculate (Step1 ) ------------";

 states:=[];

 CalcTree [(["equality (x+1=2)", "solveFor x","solutions L"], 

	    ("Test.thy", 

	     ["sqroot-test","univariate","equation","test"],

	     ["Test","squ-equ-test-subpbl1"]))];

 Iterator 1; moveActiveRoot 1;

 autoCalculate 1 CompleteCalcHead;

 autoCalculate 1 (Step 1); refFormula 1 (get_pos 1 1) (*x + 1 = 2*);

 fetchProposedTactic 1 (*'Rewrite_Set norm_equation' in tacis*);

 autoCalculate 1 (Step 1); refFormula 1 (get_pos 1 1) (*x + 1 + -1 * 2 = 0*);

 fetchProposedTactic 1 (*'Rewrite_Set Test_simplify' in tacis*);

 autoCalculate 1 (Step 1); refFormula 1 (get_pos 1 1) (*-1 + x = 0*);

 val ((pt,_),_) = get_calc 1;

 val str = pr_ptree pr_short pt;

 writeln str;

 fetchProposedTactic 1 (*'Subproblem ...' in tacis*);

 autoCalculate 1 (Step 1); refFormula 1 (get_pos 1 1) (*solve (-1 + x = 0,x)*);

 fetchProposedTactic 1 (*'Model_Problem' in tacis*);

 autoCalculate 1 (Step 1); refFormula 1 (get_pos 1 1) (*equality ///*);

(*----- WN060222 since complete_mod_ case cas of Some headline -----

 fetchProposedTactic 1 (*'Add_Given equality (-1 + x = 0)' in tacis*);

 autoCalculate 1 (Step 1); refFormula 1 (get_pos 1 1) (*equality (-1 + x =0)*);

---------------------------------------------------------------------*)

 fetchProposedTactic 1 (*'Add_Given solveFor x' in tacis*);

(*----- WN060222 since complete_mod_ case cas of Some headline:

                       (*Specify_Theory Test.thy*)

---------------------------------------------------------------------*)

 autoCalculate 1 CompleteCalcHead; refFormula 1 (get_pos 1 1) (*OK*);

 (*###########################################autoCalculate 1 (Step 1);*)

 fetchProposedTactic 1 (*'Apply_Method Test solve_linear' in tacis*);

 (* there was the only error ^^^^^^^^^ in step/nxt_solv ..Apply_Method..

 val (str', (tacis', (pt',p'))) = step ip (ptp, tacis);

 writeln (tacis2str tacis');

 ######################################################################*)

 autoCalculate 1 (Step 1); refFormula 1 (get_pos 1 1) (*-1 + x = 0*);

 fetchProposedTactic 1 (*'Rewrite_Set_Inst isolate_bdv' in tacis*);

 autoCalculate 1 (Step 1); refFormula 1 (get_pos 1 1) (*x = 0 + -1 * -1*);

 fetchProposedTactic 1 (*'Rewrite_Set Test_simplify' in tacis*);

 autoCalculate 1 (Step 1); refFormula 1 (get_pos 1 1) (*x = 1*);

 val ((pt,_),_) = get_calc 1;

 val str = pr_ptree pr_short pt;

 writeln str;

 fetchProposedTactic 1 (*'Check_Postcond linear...' in tacis*);

 autoCalculate 1 (Step 1); refFormula 1 (get_pos 1 1) (*[x = 1]*);

 fetchProposedTactic 1 (*'Check_elementwise Assumptions' in tacis*);

 autoCalculate 1 (Step 1); refFormula 1 (get_pos 1 1) (*[x = 1]*);

 fetchProposedTactic 1 (*'Check_Postcond sqroot-test...' in tacis*);

 autoCalculate 1 (Step 1); refFormula 1 (get_pos 1 1) (*[x = 1]*);

 fetchProposedTactic 1 (*'' in tacis*);

 val ((pt,p),tacis) = get_calc 1;

 val ip = get_pos 1 1;

 val (Form f, tac, asms) = pt_extract (pt, p);

 if term2str f = "[x = 1]"andalso p = ([],Res) andalso ip = ([],Res)then()else 

 raise error "tacis.sml: diff.behav. in fetchProposedTactic autoCalculate";

"------ setNextTactic -> autoCalculate (Step1 ) ------------------";

"------ setNextTactic -> autoCalculate (Step1 ) ------------------";

"------ setNextTactic -> autoCalculate (Step1 ) ------------------";

 states:=[];

 CalcTree [(["equality (x+1=2)", "solveFor x","solutions L"], 

	    ("Test.thy", 

	     ["sqroot-test","univariate","equation","test"],

	     ["Test","squ-equ-test-subpbl1"]))];

 Iterator 1; moveActiveRoot 1;

 autoCalculate 1 CompleteCalcHead;

 autoCalculate 1 (Step 1); refFormula 1 (get_pos 1 1) (*x + 1 = 2*);

 setNextTactic 1 (Rewrite_Set "norm_equation");

 val (_, tacis) = get_calc 1;

 case tacis of [(Rewrite_Set "norm_equation",_,(([1], Res), _))] => () | _ =>

 raise error "tacis.sml: diff.behav. in setNextTactic -> autoCalculate (1)"; 

 autoCalculate 1 (Step 1); refFormula 1 (get_pos 1 1) (*x + 1 + -1 * 2 = 0*);

 setNextTactic 1 (Rewrite_Set "Test_simplify");

 autoCalculate 1 (Step 1); refFormula 1 (get_pos 1 1) (*-1 + x = 0*);

 val ((pt,_),_) = get_calc 1;

 val str = pr_ptree pr_short pt;

 writeln str;

 setNextTactic 1 (Subproblem ("Test.thy",["linear","univariate",

					  "equation","test"]));

 autoCalculate 1 (Step 1); refFormula 1 (get_pos 1 1) (*solve (-1 + x = 0, x)*);

 val ((pt,_),_) = get_calc 1;

 val str = pr_ptree pr_short pt;

 writeln str;

 setNextTactic 1 (Model_Problem (*["linear","univariate","equation","test"]*));

 autoCalculate 1 (Step 1); refFormula 1 (get_pos 1 1) (*equality ///*);

 setNextTactic 1 (Add_Given "equality (-1 + x = 0)");

 autoCalculate 1 (Step 1); refFormula 1 (get_pos 1 1) (*equality (-1 + x = 0)*);

 setNextTactic 1 (Add_Given "solveFor x");

 autoCalculate 1 CompleteCalcHead; refFormula 1 (get_pos 1 1) (*OK*);

 setNextTactic 1 (Apply_Method ["Test", "solve_linear"]);

 val (_, tacis) = get_calc 1;

 case tacis of 

     [((Apply_Method ["Test","solve_linear"],_,(([3,1], Frm), _)))] =>() | _ =>

 raise error "tacis.sml: diff.behav. in setNextTactic -> autoCalculate (2)"; 

 (*#######################################################################*)

 autoCalculate 1 (Step 1); refFormula 1 (get_pos 1 1) (*-1 + x = 0*);

 setNextTactic 1 (Rewrite_Set_Inst (["(bdv,x)"], "isolate_bdv"));

 autoCalculate 1 (Step 1); refFormula 1 (get_pos 1 1) (*x = 0 + -1 * -1*);

 setNextTactic 1 (Rewrite_Set "Test_simplify");

 autoCalculate 1 (Step 1); refFormula 1 (get_pos 1 1) (*x = 1*);

 setNextTactic 1 (Check_Postcond ["linear","univariate","equation","test"]);

 autoCalculate 1 (Step 1); refFormula 1 (get_pos 1 1) (*[x = 1]*);

 setNextTactic 1 (Check_elementwise "Assumptions");

 autoCalculate 1 (Step 1); refFormula 1 (get_pos 1 1) (*[x = 1]*);

 val ((pt,_),_) = get_calc 1;

 val str = pr_ptree pr_short pt;

 writeln str;

 setNextTactic 1 (Check_Postcond 

		      ["sqroot-test","univariate","equation","test"]);

 val (_, tacis) = get_calc 1;

 (*case tacis of      040609 suddenly ???!

     [((Check_Postcond _, _,(([], Res), _)))] =>() | _ =>

 raise error "tacis.sml: diff.behav. in setNextTactic -> autoCalculate (3)"; 

 #######################################################################*)

 autoCalculate 1 (Step 1); refFormula 1 (get_pos 1 1) (*[x = 1]*);

 val ((pt,p),tacis) = get_calc 1;

 val ip = get_pos 1 1;

 val (Form f, tac, asms) = pt_extract (pt, p);

 if term2str f = "[x = 1]"andalso p = ([],Res) andalso ip = ([],Res)then()else 

 raise error "tacis.sml: diff.behav. in setNextTactic -> autoCalculate (4)";