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Proofgold Term Root Disambiguation

∀ x0 x1 : ((ι → ι)ι → ι)((ι → ι)ι → ι)((ι → ι)ι → ι)(ι → ι)ι → ι . ∀ x2 x3 : ((ι → ι)ι → ι)((ι → ι)ι → ι)((ι → ι)ι → ι)((ι → ι)ι → ι)((ι → ι)ι → ι)((ι → ι)ι → ι)((ι → ι)ι → ι)((ι → ι)ι → ι)(ι → ι)ι → ι . (∀ x4 : ο . ((x0 = λ x6 x7 x8 : (ι → ι)ι → ι . x6)(x2 = λ x6 x7 x8 x9 x10 x11 x12 x13 : (ι → ι)ι → ι . x10)x4)((x0 = λ x6 x7 x8 : (ι → ι)ι → ι . x7)(x2 = λ x6 x7 x8 x9 x10 x11 x12 x13 : (ι → ι)ι → ι . x7)x4)((x0 = λ x6 x7 x8 : (ι → ι)ι → ι . x7)(x2 = λ x6 x7 x8 x9 x10 x11 x12 x13 : (ι → ι)ι → ι . x13)x4)((x0 = λ x6 x7 x8 : (ι → ι)ι → ι . x8)(x2 = λ x6 x7 x8 x9 x10 x11 x12 x13 : (ι → ι)ι → ι . x10)x4)x4)(∀ x4 : ο . ((x1 = λ x6 x7 x8 : (ι → ι)ι → ι . x6)(x3 = λ x6 x7 x8 x9 x10 x11 x12 x13 : (ι → ι)ι → ι . x10)x4)((x1 = λ x6 x7 x8 : (ι → ι)ι → ι . x7)(x3 = λ x6 x7 x8 x9 x10 x11 x12 x13 : (ι → ι)ι → ι . x7)x4)((x1 = λ x6 x7 x8 : (ι → ι)ι → ι . x7)(x3 = λ x6 x7 x8 x9 x10 x11 x12 x13 : (ι → ι)ι → ι . x13)x4)((x1 = λ x6 x7 x8 : (ι → ι)ι → ι . x8)(x3 = λ x6 x7 x8 x9 x10 x11 x12 x13 : (ι → ι)ι → ι . x10)x4)x4)(TwoRamseyGraph_4_5_24_ChurchNums_3x8 (λ x5 x6 x7 : (ι → ι)ι → ι . x5) (λ x5 x6 x7 x8 x9 x10 x11 x12 : (ι → ι)ι → ι . x9) x0 x2 = λ x5 x6 . x5)(TwoRamseyGraph_4_5_24_ChurchNums_3x8 (λ x5 x6 x7 : (ι → ι)ι → ι . x5) (λ x5 x6 x7 x8 x9 x10 x11 x12 : (ι → ι)ι → ι . x9) x1 x3 = λ x5 x6 . x5)ChurchNums_3x8_neq (λ x4 x5 x6 : (ι → ι)ι → ι . x4) (λ x4 x5 x6 x7 x8 x9 x10 x11 : (ι → ι)ι → ι . x8) x0 x2ChurchNums_3x8_neq (λ x4 x5 x6 : (ι → ι)ι → ι . x4) (λ x4 x5 x6 x7 x8 x9 x10 x11 : (ι → ι)ι → ι . x8) x1 x3ChurchNums_3x8_neq x0 x2 x1 x3False
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theory
HotG
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