/*  This is a proof plan for theorem:
    revmapcar: []==>f:(int=>int)=>l:int list=>rev(mapcar(l,f))=mapcar(rev(l),f)in int list
    planner = dplan, clam_version(2.7.0), oyster_version(1.20)

    Time taken to find plan: 2010ms
    Environment:
    []
 */

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

*/

proof_plan([]==>f:(int=>int)=>l:int list=>rev(mapcar(l,f))=mapcar(rev(l),f)in int list,revmapcar,2010,ind_strat(induction(lemma(list_primitive)-[(l:int list)-v1::v0])then[base_case(sym_eval(normalize_term([reduction([1,1,1],[mapcar1,equ(int list,left)]),reduction([1,1],[rev1,equ(int list,left)]),reduction([1,2,1],[rev1,equ(int list,left)]),reduction([2,1],[mapcar1,equ(int list,left)])]))then[elementary(intro(new[f])then[identity,wfftacs])]),step_case(ripple(direction_out,wave(direction_out,[1,2,1],[rev2,equ(int list,left)],[])then[wave(direction_out,[1,1,1],[mapcar2,equ(int list,left)],[])then[wave(direction_out,[1,1],[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],[mapcar1,equ(int list,left)]),reduction([1,1],[app1,equ(int list,left)]),reduction([1,2,1],[app1,equ(int list,left)]),reduction([2,1],[mapcar2,equ(int list,left)]),reduction([2,2,1],[mapcar1,equ(int list,left)])]))then[elementary(intro(new[f])then[identity,wfftacs])]),step_case(ripple(direction_out,wave(direction_out,[1,2,1],[app2,equ(int list,left)],[])then[wave(direction_out,[2,1],[mapcar2,equ(int list,left)],[])then[wave(direction_out,[1,1,1],[mapcar2,equ(int list,left)],[])then[wave(direction_out,[1,1],[app2,equ(int list,left)],[])then[wave(direction_out,[],[cnc_cons1,imp(right)],[])]]]])then[unblock_then_fertilize(strong,unblock_fertilize_lazy([idtac])then fertilize(strong,v6))])])]],dplan).
