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

    Time taken to find plan: 190ms
    Environment:
    []
 */

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

*/

proof_plan([]==>x:pnat=>y:pnat=>geq(plus(x,y),x),plusgeq,190,ind_strat(induction(lemma(pnat_primitive)-[(x:pnat)-s(v0)])then[base_case(sym_eval(normalize_term([reduction([],[geq1,equ(u(1),left)])]))then[elementary(intro(new[y])then[istrue,wfftacs])]),step_case(ripple(direction_out,wave(direction_out,[1],[plus2,equ(pnat,left)],[])then[wave(direction_out,[],[geq3,equ(u(1),left)],[])])then[unblock_then_fertilize(strong,unblock_fertilize_lazy([idtac])then fertilize(strong,v1))])]),dplan).
