/*  This is a proof plan for theorem:
    qrevqrev: []==>l:int list=>m:int list=>qrev(qrev(l,m),nil)=app(rev(m),rev(rev(l)))in int list
    planner = dplan, clam_version(2.7.0), oyster_version(1.20)

    Time taken to find plan: 5110ms
    Environment:
    []
 */

/* This is the pretty-printed form
base_case(...) then 
  ind_strat([(l:int list)-v1::v0]) then 
    ind_strat([(m:int list)-v1::v0]) then 
      generalise(rev(v0),v3:int list) then 
        ind_strat([(v3:int list)-v5::v4])

*/

proof_plan([]==>l:int list=>m:int list=>qrev(qrev(l,m),nil)=app(rev(m),rev(rev(l)))in int list,qrevqrev,5110,base_case(sym_eval(normalize_term([reduction([1,1],[qrev_correct,equ(int list,left)])])))then[ind_strat(induction(lemma(list_primitive)-[(l:int list)-v1::v0])then[base_case(sym_eval(normalize_term([reduction([1,1,1],[qrev1,equ(int list,left)]),reduction([1,2,2,1],[rev1,equ(int list,left)]),reduction([2,2,1],[rev1,equ(int list,left)])]))),step_case(ripple(direction_out,wave(direction_out,[1,2,2,1],[rev2,equ(int list,left)],[])then[wave(direction_out,[2,2,1],[dist_rev_app,equ(int list,left)],[])then[wave(direction_out,[1,1,1],[qrev2,equ(int list,left)],[])]])then[ripple(direction_in_or_out,wave(direction_in_or_out,[2,1],[assapp,equ(int list,left)],[])then[wave(direction_in_or_out,[1,2,1],[dist_rev_app,equ(int list,right)],[])])then[unblock_then_fertilize(strong,unblock_fertilize_lazy([unblock(sink,[1,1,2,1],[app2,equ(int list,left)]),unblock(sink,[2,1,1,2,1],[app1,equ(int list,left)]),idtac])then fertilize(strong,v2))]])])then[ind_strat(induction(lemma(list_primitive)-[(m:int list)-v1::v0])then[base_case(sym_eval(normalize_term([reduction([1,1],[rev1,equ(int list,left)]),reduction([1,2,1],[rev1,equ(int list,left)]),reduction([2,1],[app1,equ(int list,left)])]))then[elementary(identity)]),step_case(ripple(direction_out,wave(direction_out,[1,1],[rev2,equ(int list,left)],[])then[wave(direction_out,[1,2,1],[rev2,equ(int list,left)],[])])then[unblock_then_fertilize(weak,unblock_fertilize_lazy([idtac])then fertilize(weak,fertilize_then_ripple(fertilize_left_or_right(left,[weak_fertilize(left,in,[1],v2)]))))])])then[generalise(rev(v0),v3:int list)then[ind_strat(induction(lemma(list_primitive)-[(v3:int list)-v5::v4])then[base_case(sym_eval(normalize_term([reduction([1,1,1],[app1,equ(int list,left)]),reduction([1,1],[app1,equ(int list,left)]),reduction([1,2,1],[app1,equ(int list,left)]),reduction([2,1],[app2,equ(int list,left)]),reduction([2,2,1],[app1,equ(int list,left)])]))then[elementary(identity)]),step_case(ripple(direction_out,wave(direction_out,[1,2,1],[app2,equ(int list,left)],[])then[wave(direction_out,[2,1],[app2,equ(int list,left)],[])then[wave(direction_out,[1,1,1],[app2,equ(int list,left)],[])then[wave(direction_out,[1,1],[app2,equ(int list,left)],[])]]])then[unblock_then_fertilize(weak,unblock_fertilize_lazy([idtac])then fertilize(weak,fertilize_then_ripple(fertilize_left_or_right(right,[weak_fertilize(right,in,[2],v6)]))then elementary(identity)))])])]]]],dplan).
