You are experimenting with (λh.h (h (h (h (λx.y))))) (λf.λn.n (λv.λx.λy.y) (λx.λy.x) (λf.λx.f x) (λg.λx.n (f (n (λp.λs.s (p (λx.λy.y)) (λf.λx.f (p (λx.λy.y) f x))) (λs.s (λf.λx.x) (λf.λx.x)) (λx.λy.x)) g) x)) (λf.λx.f (f (f x))).

It is solved!

Current judgement:

• result : ((1,6,28,7,11,28,12,2,6,13,28,14,25,15,29,14,16,17,7,11,13,28,14,25,15,29,14,16,17,12,3,6,13,13,28,14,25,15,29,14,16,17,14,25,15,18,30,14,19,17,20,14,16,17,7,11,13,13,28,14,25,15,29,14,16,17,14,25,15,18,30,14,19,17,20,14,16,17,12,4,6,13,13,13,28,14,25,15,29,14,16,17,14,25,15,18,30,14,19,17,20,14,16,17,14,25,15,18,18,31,22,19,24,21,21,22,19,24,21,22,16,24,8,9,26,26,26(E₉^{1,6,28,7,11,28,12,2,6,13,28,14,25,15,29,14,16,17,7,11,13,28,14,25,15,29,14,16,17,12,3,6,13,13,28,14,25,15,29,14,16,17,14,25,15,18,30,14,19,17,20,14,16,17,7,11,13,13,28,14,25,15,29,14,16,17,14,25,15,18,30,14,19,17,20,14,16,17,12,4,6,13,13,13,28,14,25,15,29,14,16,17,14,25,15,18,30,14,19,17,20,14,16,17,14,25,15,18,18,31,22,19,24,21,21,22,19,24,21,22,16,24,8}?(x₁₉)→α₅₂^1,6,28,7)∧E₉^{1,6,28,7,11,28,12,2,6,13,28,14,25,15,29,14,16,17,7,11,13,28,14,25,15,29,14,16,17,12,3,6,13,13,28,14,25,15,29,14,16,17,14,25,15,18,30,14,19,17,20,14,16,17,7,11,13,13,28,14,25,15,29,14,16,17,14,25,15,18,30,14,19,17,20,14,16,17,12,4,6,13,13,13,28,14,25,15,29,14,16,17,14,25,15,18,30,14,19,17,20,14,16,17,14,25,15,18,18,31,22,19,24,21,21,22,19,24,21,22,16,24,8}10,18,18,31,22,19,24,21,21,22,19,24,21,27,18,30,14,19,17,20,12,3,6,13,13,28,14,25,15,29,14,16,17,14,25,15,18,30,14,19,17,20,14,16,17,7,11,13,13,28,14,25,15,29,14,16,17,14,25,15,18,30,14,19,17,20,14,16,17,12,4,6,13,13,13,28,14,25,15,29,14,16,17,14,25,15,18,30,14,19,17,20,14,16,17,14,25,15,18,18,31,22,19,24,21,21,22,19,24,21,22,16,24,8,9,26,26,26(E₉^{10,18,18,31,22,19,24,21,21,22,19,24,21,27,18,30,14,19,17,20,12,3,6,13,13,28,14,25,15,29,14,16,17,14,25,15,18,30,14,19,17,20,14,16,17,7,11,13,13,28,14,25,15,29,14,16,17,14,25,15,18,30,14,19,17,20,14,16,17,12,4,6,13,13,13,28,14,25,15,29,14,16,17,14,25,15,18,30,14,19,17,20,14,16,17,14,25,15,18,18,31,22,19,24,21,21,22,19,24,21,22,16,24,8}?(x₁₉)→x₁₉))∧E₉^{1,6,28,7,11,28,12,2,6,13,28,14,25,15,29,14,16,17,7,11,13,28,14,25,15,29,14,16,17,12,3,6,13,13,28,14,25,15,29,14,16,17,14,25,15,18,30,14,19,17,20,14,16,17,7,11,13,13,28,14,25,15,29,14,16,17,14,25,15,18,30,14,19,17,20,14,16,17,12,4,6,13,13,13,28,14,25,15,29,14,16,17,14,25,15,18,30,14,19,17,20,14,16,17,14,25,15,18,18,31,22,19,24,21,21,22,19,24,21,22,16,24,8}E₉^{10,18,18,31,22,19,24,21,21,22,19,24,21,27,18,30,14,19,17,20,12,3,6,13,13,28,14,25,15,29,14,16,17,14,25,15,18,30,14,19,17,20,14,16,17,7,11,13,13,28,14,25,15,29,14,16,17,14,25,15,18,30,14,19,17,20,14,16,17,12,4,6,13,13,13,28,14,25,15,29,14,16,17,14,25,15,18,30,14,19,17,20,14,16,17,14,25,15,18,18,31,22,19,24,21,21,22,19,24,21,22,16,24,8}((10,18,18,31,22,19,24,21,21,22,19,24,21,27,18,31,22,19,24,21,21,27,29,12,2,6,13,28,14,25,15,29,14,16,17,7,11,13,28,14,25,15,29,14,16,17,12,3,6,13,13,28,14,25,15,29,14,16,17,14,25,15,18,30,14,19,17,20,14,16,17,7,11,13,13,28,14,25,15,29,14,16,17,14,25,15,18,30,14,19,17,20,14,16,17,12,4,6,13,13,13,28,14,25,15,29,14,16,17,14,25,15,18,30,14,19,17,20,14,16,17,14,25,15,18,18,31,22,19,24,21,21,22,19,24,21,22,16,24,8,9,26,26,26(E₉^{10,18,18,31,22,19,24,21,21,22,19,24,21,27,18,31,22,19,24,21,21,27,29,12,2,6,13,28,14,25,15,29,14,16,17,7,11,13,28,14,25,15,29,14,16,17,12,3,6,13,13,28,14,25,15,29,14,16,17,14,25,15,18,30,14,19,17,20,14,16,17,7,11,13,13,28,14,25,15,29,14,16,17,14,25,15,18,30,14,19,17,20,14,16,17,12,4,6,13,13,13,28,14,25,15,29,14,16,17,14,25,15,18,30,14,19,17,20,14,16,17,14,25,15,18,18,31,22,19,24,21,21,22,19,24,21,22,16,24,8}?(x₁₉)→x₁₉)∧E₉^{10,18,18,31,22,19,24,21,21,22,19,24,21,27,18,31,22,19,24,21,21,27,29,12,2,6,13,28,14,25,15,29,14,16,17,7,11,13,28,14,25,15,29,14,16,17,12,3,6,13,13,28,14,25,15,29,14,16,17,14,25,15,18,30,14,19,17,20,14,16,17,7,11,13,13,28,14,25,15,29,14,16,17,14,25,15,18,30,14,19,17,20,14,16,17,12,4,6,13,13,13,28,14,25,15,29,14,16,17,14,25,15,18,30,14,19,17,20,14,16,17,14,25,15,18,18,31,22,19,24,21,21,22,19,24,21,22,16,24,8}10,18,18,31,22,19,24,21,21,22,19,24,21,27,18,30,14,19,17,20,12,3,6,13,13,28,14,25,15,29,14,16,17,14,25,15,18,30,14,19,17,20,14,16,17,7,11,13,13,28,14,25,15,29,14,16,17,14,25,15,18,30,14,19,17,20,14,16,17,12,4,6,13,13,13,28,14,25,15,29,14,16,17,14,25,15,18,30,14,19,17,20,14,16,17,14,25,15,18,18,31,22,19,24,21,21,22,19,24,21,22,16,24,8,9,26,26,26(E₉^{10,18,18,31,22,19,24,21,21,22,19,24,21,27,18,30,14,19,17,20,12,3,6,13,13,28,14,25,15,29,14,16,17,14,25,15,18,30,14,19,17,20,14,16,17,7,11,13,13,28,14,25,15,29,14,16,17,14,25,15,18,30,14,19,17,20,14,16,17,12,4,6,13,13,13,28,14,25,15,29,14,16,17,14,25,15,18,30,14,19,17,20,14,16,17,14,25,15,18,18,31,22,19,24,21,21,22,19,24,21,22,16,24,8}?(x₁₉)→x₁₉))∧E₉^{10,18,18,31,22,19,24,21,21,22,19,24,21,27,18,31,22,19,24,21,21,27,29,12,2,6,13,28,14,25,15,29,14,16,17,7,11,13,28,14,25,15,29,14,16,17,12,3,6,13,13,28,14,25,15,29,14,16,17,14,25,15,18,30,14,19,17,20,14,16,17,7,11,13,13,28,14,25,15,29,14,16,17,14,25,15,18,30,14,19,17,20,14,16,17,12,4,6,13,13,13,28,14,25,15,29,14,16,17,14,25,15,18,30,14,19,17,20,14,16,17,14,25,15,18,18,31,22,19,24,21,21,22,19,24,21,22,16,24,8}E₉^{10,18,18,31,22,19,24,21,21,22,19,24,21,27,18,30,14,19,17,20,12,3,6,13,13,28,14,25,15,29,14,16,17,14,25,15,18,30,14,19,17,20,14,16,17,7,11,13,13,28,14,25,15,29,14,16,17,14,25,15,18,30,14,19,17,20,14,16,17,12,4,6,13,13,13,28,14,25,15,29,14,16,17,14,25,15,18,30,14,19,17,20,14,16,17,14,25,15,18,18,31,22,19,24,21,21,22,19,24,21,22,16,24,8}(10,18,18,31,22,19,24,21,21,22,19,24,21,27,18,31,22,19,24,21,21,27,30,12,2,6,13,28,14,25,15,29,14,16,17,7,11,13,28,14,25,15,29,14,16,17,12,3,6,13,13,28,14,25,15,29,14,16,17,14,25,15,18,30,14,19,17,20,14,16,17,7,11,13,13,28,14,25,15,29,14,16,17,14,25,15,18,30,14,19,17,20,14,16,17,12,4,6,13,13,13,28,14,25,15,29,14,16,17,14,25,15,18,30,14,19,17,20,14,16,17,14,25,15,18,18,31,22,19,24,21,21,22,19,24,21,22,16,24,8,9,26,26,26(E₉^{10,18,18,31,22,19,24,21,21,22,19,24,21,27,18,31,22,19,24,21,21,27,30,12,2,6,13,28,14,25,15,29,14,16,17,7,11,13,28,14,25,15,29,14,16,17,12,3,6,13,13,28,14,25,15,29,14,16,17,14,25,15,18,30,14,19,17,20,14,16,17,7,11,13,13,28,14,25,15,29,14,16,17,14,25,15,18,30,14,19,17,20,14,16,17,12,4,6,13,13,13,28,14,25,15,29,14,16,17,14,25,15,18,30,14,19,17,20,14,16,17,14,25,15,18,18,31,22,19,24,21,21,22,19,24,21,22,16,24,8}?(x₁₉)→x₁₉)∧E₉^{10,18,18,31,22,19,24,21,21,22,19,24,21,27,18,31,22,19,24,21,21,27,30,12,2,6,13,28,14,25,15,29,14,16,17,7,11,13,28,14,25,15,29,14,16,17,12,3,6,13,13,28,14,25,15,29,14,16,17,14,25,15,18,30,14,19,17,20,14,16,17,7,11,13,13,28,14,25,15,29,14,16,17,14,25,15,18,30,14,19,17,20,14,16,17,12,4,6,13,13,13,28,14,25,15,29,14,16,17,14,25,15,18,30,14,19,17,20,14,16,17,14,25,15,18,18,31,22,19,24,21,21,22,19,24,21,22,16,24,8}10,18,18,31,22,19,24,21,21,22,19,24,21,27,18,30,14,19,17,20,12,3,6,13,13,28,14,25,15,29,14,16,17,14,25,15,18,30,14,19,17,20,14,16,17,7,11,13,13,28,14,25,15,29,14,16,17,14,25,15,18,30,14,19,17,20,14,16,17,12,4,6,13,13,13,28,14,25,15,29,14,16,17,14,25,15,18,30,14,19,17,20,14,16,17,14,25,15,18,18,31,22,19,24,21,21,22,19,24,21,22,16,24,8,9,26,26,26(E₉^{10,18,18,31,22,19,24,21,21,22,19,24,21,27,18,30,14,19,17,20,12,3,6,13,13,28,14,25,15,29,14,16,17,14,25,15,18,30,14,19,17,20,14,16,17,7,11,13,13,28,14,25,15,29,14,16,17,14,25,15,18,30,14,19,17,20,14,16,17,12,4,6,13,13,13,28,14,25,15,29,14,16,17,14,25,15,18,30,14,19,17,20,14,16,17,14,25,15,18,18,31,22,19,24,21,21,22,19,24,21,22,16,24,8}?(x₁₉)→x₁₉))))→(E₉^{1,6,28,7,11,28,12,2,6,13,28,14,25,15,29,14,16,17,7,11,13,28,14,25,15,29,14,16,17,12,3,6,13,13,28,14,25,15,29,14,16,17,14,25,15,18,30,14,19,17,20,14,16,17,7,11,13,13,28,14,25,15,29,14,16,17,14,25,15,18,30,14,19,17,20,14,16,17,12,4,6,13,13,13,28,14,25,15,29,14,16,17,14,25,15,18,30,14,19,17,20,14,16,17,14,25,15,18,18,31,22,19,24,21,21,22,19,24,21,22,16,24,8}E₉^{10,18,18,31,22,19,24,21,21,22,19,24,21,27,18,30,14,19,17,20,12,3,6,13,13,28,14,25,15,29,14,16,17,14,25,15,18,30,14,19,17,20,14,16,17,7,11,13,13,28,14,25,15,29,14,16,17,14,25,15,18,30,14,19,17,20,14,16,17,12,4,6,13,13,13,28,14,25,15,29,14,16,17,14,25,15,18,30,14,19,17,20,14,16,17,14,25,15,18,18,31,22,19,24,21,21,22,19,24,21,22,16,24,8}E₉^{10,18,18,31,22,19,24,21,21,22,19,24,21,27,18,31,22,19,24,21,21,27,29,12,2,6,13,28,14,25,15,29,14,16,17,7,11,13,28,14,25,15,29,14,16,17,12,3,6,13,13,28,14,25,15,29,14,16,17,14,25,15,18,30,14,19,17,20,14,16,17,7,11,13,13,28,14,25,15,29,14,16,17,14,25,15,18,30,14,19,17,20,14,16,17,12,4,6,13,13,13,28,14,25,15,29,14,16,17,14,25,15,18,30,14,19,17,20,14,16,17,14,25,15,18,18,31,22,19,24,21,21,22,19,24,21,22,16,24,8}E₉^{10,18,18,31,22,19,24,21,21,22,19,24,21,27,18,30,14,19,17,20,12,3,6,13,13,28,14,25,15,29,14,16,17,14,25,15,18,30,14,19,17,20,14,16,17,7,11,13,13,28,14,25,15,29,14,16,17,14,25,15,18,30,14,19,17,20,14,16,17,12,4,6,13,13,13,28,14,25,15,29,14,16,17,14,25,15,18,30,14,19,17,20,14,16,17,14,25,15,18,18,31,22,19,24,21,21,22,19,24,21,22,16,24,8}E₉^{10,18,18,31,22,19,24,21,21,22,19,24,21,27,18,31,22,19,24,21,21,27,30,12,2,6,13,28,14,25,15,29,14,16,17,7,11,13,28,14,25,15,29,14,16,17,12,3,6,13,13,28,14,25,15,29,14,16,17,14,25,15,18,30,14,19,17,20,14,16,17,7,11,13,13,28,14,25,15,29,14,16,17,14,25,15,18,30,14,19,17,20,14,16,17,12,4,6,13,13,13,28,14,25,15,29,14,16,17,14,25,15,18,30,14,19,17,20,14,16,17,14,25,15,18,18,31,22,19,24,21,21,22,19,24,21,22,16,24,8}E₉^{10,18,18,31,22,19,24,21,21,22,19,24,21,27,18,30,14,19,17,20,12,3,6,13,13,28,14,25,15,29,14,16,17,14,25,15,18,30,14,19,17,20,14,16,17,7,11,13,13,28,14,25,15,29,14,16,17,14,25,15,18,30,14,19,17,20,14,16,17,12,4,6,13,13,13,28,14,25,15,29,14,16,17,14,25,15,18,30,14,19,17,20,14,16,17,14,25,15,18,18,31,22,19,24,21,21,22,19,24,21,22,16,24,8}10,18,18,31,22,19,24,21,21,22,19,24,21,27,18,31,22,19,24,21,21,27,31,27(x₁₉)→α₅₂^1,6,28,7)

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