Input TRS:
    1: f(g(i(a(),b(),b'()),c()),d()) -> if(e(),f(.(b(),c()),d'()),f(.(b'(),c()),d'()))
    2: f(g(h(a(),b()),c()),d()) -> if(e(),f(.(b(),g(h(a(),b()),c())),d()),f(c(),d'()))
Number of strict rules: 2
Direct Order(PosReal,>,Poly) ... removes: 1
     a()	weight: 0
     h(x1,x2)	weight: (/ 1 16) + x1 + x2
     d()	weight: 0
     b()	weight: 0
     c()	weight: 0
     f(x1,x2)	weight: x1 + x2
    d'()	weight: 0
    if(x1,x2,x3)	weight: x1 + x2 + x3
     .(x1,x2)	weight: x1 + x2
     i(x1,x2,x3)	weight: (/ 1 16) + x1 + x2 + x3
     e()	weight: 0
    b'()	weight: 0
     g(x1,x2)	weight: (/ 403747 32) + x1 + x2
Number of strict rules: 1
Direct Order(PosReal,>,Poly) ... failed.
Freezing f
2: f❆1_g(h(a(),b()),c(),d()) -> if(e(),f❆1_.(b(),g(h(a(),b()),c()),d()),f❆1_c(d'()))
3: f(c(),_1) ->= f❆1_c(_1)
4: f(g(_1,_2),_3) ->= f❆1_g(_1,_2,_3)
5: f(.(_1,_2),_3) ->= f❆1_.(_1,_2,_3)
Number of strict rules: 1
Direct Order(PosReal,>,Poly) ... removes: 4 3 5 2
     a()	weight: 0
     h(x1,x2)	weight: (/ 1 16) + x1 + x2
     d()	weight: 0
     b()	weight: 0
     c()	weight: 0
f❆1_g(x1,x2,x3)	weight: (/ 1 4) + 2 * x1 + x2 + x3
f❆1_c(x1)	weight: (/ 1 16) + x1
     f(x1,x2)	weight: (/ 3 16) + 2 * x1 + x2
    d'()	weight: 0
    if(x1,x2,x3)	weight: x1 + x2 + 2 * x3
     .(x1,x2)	weight: (/ 1 16) + x1 + x2
     i(x1,x2,x3)	weight: x1 + x2 + x3
     e()	weight: 0
    b'()	weight: 0
f❆1_.(x1,x2,x3)	weight: x1 + x2 + x3
     g(x1,x2)	weight: (/ 1 16) + 2 * x1 + x2
Number of strict rules: 0
YES