/*  This is a proof plan for theorem:
    minus_succ: []==>x:pnat=>y:pnat=>minus(x,y)=minus(s(x),s(y))in pnat
    planner = dplan, clam_version(2.7.0), oyster_version(1.20)

    Time taken to find plan: 540ms
    Environment:
    []
 */

/* This is the pretty-printed form
base_case(...) then 
  ind_strat([(y:pnat)-s(v0)])

*/

proof_plan([]==>x:pnat=>y:pnat=>minus(x,y)=minus(s(x),s(y))in pnat,minus_succ,540,base_case(sym_eval(normalize_term([reduction([2,1],[minus2,equ(pnat,left)])])))then[ind_strat(induction(lemma(pnat_primitive)-[(y:pnat)-s(v0)])then[base_case(sym_eval(normalize_term([reduction([1,1],[minus1,equ(pnat,left)]),reduction([1,2,1],[minus1,equ(pnat,left)]),reduction([2,1],[pred2,equ(pnat,left)])]))then[elementary(intro(new[x])then[identity,wfftacs])]),step_case(ripple(direction_out,wave(direction_out,[1,1],[minus2,equ(pnat,left)],[])then[wave(direction_out,[1,2,1],[minus2,equ(pnat,left)],[])then[unblock_then_wave(direction_out,unblock_lazy([unblock(meta_ripple,unused,unused),idtac])then wave(direction_out,[],[cnc_pred,imp(right)],[]))]])then[unblock_then_fertilize(strong,unblock_fertilize_lazy([idtac])then fertilize(strong,v1))])])],dplan).
