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8bf05../fa85a.. bday: 18051 doc published by Pr4zB..
Definition Church13_p := λ x0 : ι → ι → ι → ι → ι → ι → ι → ι → ι → ι → ι → ι → ι → ι . ∀ x1 : (ι → ι → ι → ι → ι → ι → ι → ι → ι → ι → ι → ι → ι → ι) → ο . x1 (λ x2 x3 x4 x5 x6 x7 x8 x9 x10 x11 x12 x13 x14 . x2)x1 (λ x2 x3 x4 x5 x6 x7 x8 x9 x10 x11 x12 x13 x14 . x3)x1 (λ x2 x3 x4 x5 x6 x7 x8 x9 x10 x11 x12 x13 x14 . x4)x1 (λ x2 x3 x4 x5 x6 x7 x8 x9 x10 x11 x12 x13 x14 . x5)x1 (λ x2 x3 x4 x5 x6 x7 x8 x9 x10 x11 x12 x13 x14 . x6)x1 (λ x2 x3 x4 x5 x6 x7 x8 x9 x10 x11 x12 x13 x14 . x7)x1 (λ x2 x3 x4 x5 x6 x7 x8 x9 x10 x11 x12 x13 x14 . x8)x1 (λ x2 x3 x4 x5 x6 x7 x8 x9 x10 x11 x12 x13 x14 . x9)x1 (λ x2 x3 x4 x5 x6 x7 x8 x9 x10 x11 x12 x13 x14 . x10)x1 (λ x2 x3 x4 x5 x6 x7 x8 x9 x10 x11 x12 x13 x14 . x11)x1 (λ x2 x3 x4 x5 x6 x7 x8 x9 x10 x11 x12 x13 x14 . x12)x1 (λ x2 x3 x4 x5 x6 x7 x8 x9 x10 x11 x12 x13 x14 . x13)x1 (λ x2 x3 x4 x5 x6 x7 x8 x9 x10 x11 x12 x13 x14 . x14)x1 x0
Definition TwoRamseyGraph_3_5_Church13 := λ x0 x1 : ι → ι → ι → ι → ι → ι → ι → ι → ι → ι → ι → ι → ι → ι . λ x2 x3 . x0 (x1 x3 x2 x3 x3 x3 x2 x3 x3 x2 x3 x3 x3 x2) (x1 x2 x3 x2 x3 x3 x3 x2 x3 x3 x2 x3 x3 x3) (x1 x3 x2 x3 x2 x3 x3 x3 x2 x3 x3 x2 x3 x3) (x1 x3 x3 x2 x3 x2 x3 x3 x3 x2 x3 x3 x2 x3) (x1 x3 x3 x3 x2 x3 x2 x3 x3 x3 x2 x3 x3 x2) (x1 x2 x3 x3 x3 x2 x3 x2 x3 x3 x3 x2 x3 x3) (x1 x3 x2 x3 x3 x3 x2 x3 x2 x3 x3 x3 x2 x3) (x1 x3 x3 x2 x3 x3 x3 x2 x3 x2 x3 x3 x3 x2) (x1 x2 x3 x3 x2 x3 x3 x3 x2 x3 x2 x3 x3 x3) (x1 x3 x2 x3 x3 x2 x3 x3 x3 x2 x3 x2 x3 x3) (x1 x3 x3 x2 x3 x3 x2 x3 x3 x3 x2 x3 x2 x3) (x1 x3 x3 x3 x2 x3 x3 x2 x3 x3 x3 x2 x3 x2) (x1 x2 x3 x3 x3 x2 x3 x3 x2 x3 x3 x3 x2 x3)
Definition FalseFalse := ∀ x0 : ο . x0
Known FalseEFalseE : False∀ x0 : ο . x0
Known 768c1.. : ((λ x1 x2 . x2) = λ x1 x2 . x1)∀ x0 : ο . x0
Theorem cc732.. : ∀ x0 x1 x2 : ι → ι → ι → ι → ι → ι → ι → ι → ι → ι → ι → ι → ι → ι . Church13_p x0Church13_p x1Church13_p x2(((λ x4 x5 x6 x7 x8 x9 x10 x11 x12 x13 x14 x15 x16 . x4) = λ x4 x5 x6 x7 x8 x9 x10 x11 x12 x13 x14 x15 x16 . x15)∀ x3 : ο . x3)((λ x4 x5 x6 x7 x8 x9 x10 x11 x12 x13 x14 x15 x16 . x4) = x0∀ x3 : ο . x3)((λ x4 x5 x6 x7 x8 x9 x10 x11 x12 x13 x14 x15 x16 . x4) = x1∀ x3 : ο . x3)((λ x4 x5 x6 x7 x8 x9 x10 x11 x12 x13 x14 x15 x16 . x4) = x2∀ x3 : ο . x3)((λ x4 x5 x6 x7 x8 x9 x10 x11 x12 x13 x14 x15 x16 . x15) = x0∀ x3 : ο . x3)((λ x4 x5 x6 x7 x8 x9 x10 x11 x12 x13 x14 x15 x16 . x15) = x1∀ x3 : ο . x3)((λ x4 x5 x6 x7 x8 x9 x10 x11 x12 x13 x14 x15 x16 . x15) = x2∀ x3 : ο . x3)(x0 = x1∀ x3 : ο . x3)(x0 = x2∀ x3 : ο . x3)(x1 = x2∀ x3 : ο . x3)(TwoRamseyGraph_3_5_Church13 (λ x4 x5 x6 x7 x8 x9 x10 x11 x12 x13 x14 x15 x16 . x4) (λ x4 x5 x6 x7 x8 x9 x10 x11 x12 x13 x14 x15 x16 . x15) = λ x4 x5 . x5)(TwoRamseyGraph_3_5_Church13 (λ x4 x5 x6 x7 x8 x9 x10 x11 x12 x13 x14 x15 x16 . x4) x0 = λ x4 x5 . x5)(TwoRamseyGraph_3_5_Church13 (λ x4 x5 x6 x7 x8 x9 x10 x11 x12 x13 x14 x15 x16 . x4) x1 = λ x4 x5 . x5)(TwoRamseyGraph_3_5_Church13 (λ x4 x5 x6 x7 x8 x9 x10 x11 x12 x13 x14 x15 x16 . x4) x2 = λ x4 x5 . x5)(TwoRamseyGraph_3_5_Church13 (λ x4 x5 x6 x7 x8 x9 x10 x11 x12 x13 x14 x15 x16 . x15) x0 = λ x4 x5 . x5)(TwoRamseyGraph_3_5_Church13 (λ x4 x5 x6 x7 x8 x9 x10 x11 x12 x13 x14 x15 x16 . x15) x1 = λ x4 x5 . x5)(TwoRamseyGraph_3_5_Church13 (λ x4 x5 x6 x7 x8 x9 x10 x11 x12 x13 x14 x15 x16 . x15) x2 = λ x4 x5 . x5)(TwoRamseyGraph_3_5_Church13 x0 x1 = λ x4 x5 . x5)(TwoRamseyGraph_3_5_Church13 x0 x2 = λ x4 x5 . x5)(TwoRamseyGraph_3_5_Church13 x1 x2 = λ x4 x5 . x5)False (proof)

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