/*  This is a proof plan for theorem:
    greaters2: []==>x:pnat=>y:pnat=>greater(x,y)=>greater(s(x),y)
    planner = dplan, clam_version(2.7.0), oyster_version(1.20)

    Time taken to find plan: 450ms
    Environment:
    []
 */

/* This is the pretty-printed form
ind_strat([(x:pnat)-s(v1),(y:pnat)-s(v0)])

*/

proof_plan([]==>x:pnat=>y:pnat=>greater(x,y)=>greater(s(x),y),greaters2,450,ind_strat(induction(lemma(pairs)-[(x:pnat)-s(v1),(y:pnat)-s(v0)])then[base_case(sym_eval(normalize_term([reduction([1],[greater1,equ(u(1),left)])]))then[elementary(intro(new[v1])then[elim(v1),wfftacs])]),base_case(sym_eval(normalize_term([reduction([2],[greater2,equ(u(1),left)])]))then[elementary(intro(new[v1])then[istrue,wfftacs])]),step_case(ripple(direction_out,wave(direction_out,[1],[greater3,equ(u(1),left)],[])then[unblock_then_wave(direction_out,unblock_lazy([unblock(meta_ripple,unused,unused),idtac])then wave(direction_out,[2],[greater3,equ(u(1),left)],[]))])then[unblock_then_fertilize(strong,unblock_fertilize_lazy([idtac])then fertilize(strong,v2))])]),dplan).
