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Proofgold Term Root Disambiguation

∀ x0 : ι → ο . ∀ x1 : ι → ι → ο . ∀ x2 . ∀ x3 : ι → ι → ι . ∀ x4 x5 x6 . ∀ x7 : ι → ο . ∀ x8 . ∀ x9 : ι → ο . ∀ x10 x11 x12 . ∀ x13 : ι → ο . ∀ x14 : ι → ι . ∀ x15 : ι → ι → ο . ∀ x16 . ∀ x17 : ι → ο . ∀ x18 x19 x20 . ∀ x21 : ι → ο . ∀ x22 . ∀ x23 : ι → ο . ∀ x24 x25 . ∀ x26 : ι → ι . ∀ x27 . ∀ x28 : ι → ι → ι . ∀ x29 x30 x31 x32 x33 : ι → ο . ∀ x34 x35 x36 . ∀ x37 x38 x39 x40 : ι → ο . ∀ x41 : ι → ι . ∀ x42 : ι → ο . ∀ x43 x44 x45 x46 x47 . ∀ x48 : ι → ο . ∀ x49 . ∀ x50 : ι → ο . ∀ x51 : ι → ι . ∀ x52 . ∀ x53 : ι → ο . ∀ x54 : ι → ι . ∀ x55 x56 . ∀ x57 : ι → ι → ι → ο . ∀ x58 . ∀ x59 : ι → ο . ∀ x60 x61 : ι → ι → ο . ∀ x62 : ι → ι . ∀ x63 x64 : ι → ο . ∀ x65 : ι → ι → ο . ∀ x66 : ι → ο . (∀ x67 x68 . x66 x68x66 x67(x65 x68 x67False)(x64 x67False)(x63 x68False)False)(∀ x67 x68 . x0 x68(x68 = x67False)x0 x67False)(∀ x67 x68 . x66 x68x66 x67(x65 x68 x67False)(x63 x68False)(x64 x67False)False)(∀ x67 x68 . x1 x67 x68x0 x68False)(∀ x67 x68 . x66 x68x66 x67x65 x68 x67(x0 x68False)(x63 x67False)(x64 x68False)False)(∀ x67 . x0 x67(x67 = x2False)False)(∀ x67 x68 x69 . x1 x67 x68x61 x68 (x62 x69)x0 x69False)(∀ x67 x68 . x66 x68x66 x67x65 x68 x67(x0 x67False)(x64 x68False)(x63 x67False)False)(∀ x67 x68 x69 . x1 x68 x69x61 x69 (x62 x67)(x61 x68 x67False)False)(∀ x67 x68 . x66 x68x66 x67x65 x68 x67(x63 x67False)x63 x68False)(∀ x67 x68 . x60 x68 x67(x61 x68 (x62 x67)False)False)(∀ x67 x68 . x61 x68 (x62 x67)(x60 x68 x67False)False)(∀ x67 x68 . x66 x68x66 x67x65 x68 x67(x64 x68False)x64 x67False)(∀ x67 x68 x69 . x66 x69x66 x67x66 x68(x65 x67 x69False)(x65 x68 x4False)x65 (x3 x68 x67) (x3 x68 x69)False)(∀ x67 x68 . x61 x67 x68(x0 x68False)(x1 x67 x68False)False)(∀ x67 x68 . x66 x68x66 x67x65 x68 x67x64 x67(x64 x68False)False)(∀ x67 x68 . x59 x68x59 x67x65 x68 x67x65 x67 x68(x68 = x67False)False)(∀ x67 x68 . x1 x68 x67(x61 x68 x67False)False)(∀ x67 x68 . x66 x68x66 x67x65 x68 x67x63 x68(x63 x67False)False)((x61 x2 x5False)False)((x61 x4 x58False)False)((x61 x4 x6False)False)((x57 x4 x58 x6False)False)((x63 x4False)False)(x0 x4False)((x65 x4 x4False)False)(∀ x67 x68 . x59 x68x59 x67(x65 x68 x68False)False)(∀ x67 . (x60 x67 x67False)False)(∀ x67 x68 x69 . (x0 x69False)(x0 x67False)x61 x67 (x62 x69)x61 x68 x67(x57 x68 x69 x67False)False)(∀ x67 x68 x69 . (x0 x69False)(x0 x67False)x61 x67 (x62 x69)x57 x68 x69 x67(x61 x68 x67False)False)((x6 = x5False)False)((x7 x8False)False)(x0 x8False)((x9 x10False)False)(x0 x10False)((x59 x11False)False)((x0 x11False)False)((x66 x12False)False)((x59 x12False)False)((x13 x12False)False)((x0 x12False)False)(∀ x67 . (x0 x67False)(x15 (x14 x67) x67False)False)(∀ x67 . (x0 x67False)(x61 (x14 x67) (x62 x67)False)False)((x9 x16False)False)((x64 x56False)False)((x59 x56False)False)((x66 x55False)False)((x64 x55False)False)((x59 x55False)False)((x13 x55False)False)(∀ x67 . x15 (x54 x67) x67False)(∀ x67 . (x61 (x54 x67) (x62 x67)False)False)((x53 x52False)False)((x17 x52False)False)(x0 x52False)((x63 x18False)False)((x59 x18False)False)((x66 x19False)False)((x63 x19False)False)((x59 x19False)False)((x13 x19False)False)(x0 x20False)(∀ x67 . (x0 (x51 x67)False)False)(∀ x67 . (x61 (x51 x67) (x62 x67)False)False)((x50 x49False)False)((x21 x49False)False)((x48 x49False)False)(x0 x49False)((x50 x47False)False)(x0 x47False)((x61 x47 (x62 x58)False)False)((x17 x22False)False)(x0 x22False)((x23 x24False)False)((x59 x46False)False)((x66 x25False)False)((x0 x45False)False)(∀ x67 . (x0 x67False)x0 (x26 x67)False)(∀ x67 . (x0 x67False)(x61 (x26 x67) (x62 x67)False)False)((x50 x27False)False)((x17 x44False)False)(x0 x44False)((x23 x43False)False)((x66 x43False)False)((x13 x43False)False)((x59 x43False)False)((x61 x43 x58False)False)((x50 x5False)False)(x0 x5False)((x17 x5False)False)((x53 x5False)False)((x53 x58False)False)((x42 x58False)False)((x0 x2False)False)(∀ x67 . x0 (x62 x67)False)(∀ x67 x68 . (x0 x68False)(x0 x67False)x61 x67 (x62 x68)(x57 (x28 x67 x68) x68 x67False)False)(∀ x67 . (x61 (x41 x67) x67False)False)(∀ x67 x68 x69 . (x0 x69False)(x0 x67False)x61 x67 (x62 x69)x57 x68 x69 x67(x61 x68 x69False)False)((x61 x6 (x62 x58)False)False)(∀ x67 x68 . x66 x68x66 x67(x66 (x3 x68 x67)False)False)(∀ x67 x68 . x59 x68x59 x67(x65 x68 x67False)(x65 x67 x68False)False)(∀ x67 . x0 x67(x29 x67False)False)(∀ x67 . x7 x67(x40 x67False)False)(∀ x67 . x59 x67(x63 x67False)(x64 x67False)(x59 x67False)False)(∀ x67 . x59 x67(x63 x67False)(x64 x67False)(x0 x67False)False)(∀ x67 . x61 x67 x5(x9 x67False)False)(∀ x67 . x61 x67 (x62 x58)(x42 x67False)False)(∀ x67 . x0 x67(x7 x67False)False)(∀ x67 . x0 x67x59 x67x64 x67False)(∀ x67 . x0 x67x59 x67x63 x67False)(∀ x67 . x0 x67x59 x67(x59 x67False)False)(∀ x67 . x0 x67(x9 x67False)False)(∀ x67 . (x0 x67False)x59 x67(x63 x67False)(x64 x67False)False)(∀ x67 . (x0 x67False)x59 x67(x63 x67False)(x59 x67False)False)(∀ x67 . x9 x67(x50 x67False)False)(∀ x67 . x59 x67x64 x67x63 x67False)(∀ x67 . x59 x67x64 x67(x59 x67False)False)(∀ x67 . x59 x67x64 x67x0 x67False)(∀ x67 x68 . x50 x68x61 x67 x68(x50 x67False)False)(∀ x67 . x42 x67(x30 x67False)False)(∀ x67 . (x0 x67False)x59 x67(x64 x67False)(x63 x67False)False)(∀ x67 . (x0 x67False)x59 x67(x64 x67False)(x59 x67False)False)(∀ x67 . x66 x67(x59 x67False)False)(∀ x67 x68 . x0 x68x61 x67 (x62 x68)x15 x67 x68False)(∀ x67 . x0 x67(x39 x67False)False)(∀ x67 . x42 x67(x31 x67False)False)(∀ x67 . x59 x67x63 x67x64 x67False)(∀ x67 . x59 x67x63 x67(x59 x67False)False)(∀ x67 . x59 x67x63 x67x0 x67False)(∀ x67 . x66 x67(x13 x67False)False)(∀ x67 x68 . (x0 x68False)x61 x67 (x62 x68)x0 x67(x15 x67 x68False)False)(∀ x67 . x0 x67(x50 x67False)False)(∀ x67 . x9 x67x64 x67False)(∀ x67 . x9 x67(x9 x67False)False)(∀ x67 . x38 x67(x42 x67False)False)(∀ x67 . x23 x67(x66 x67False)False)(∀ x67 . x9 x67(x59 x67False)False)(∀ x67 . x9 x67(x66 x67False)False)(∀ x67 x68 . (x0 x68False)x61 x67 (x62 x68)(x15 x67 x68False)x0 x67False)(∀ x67 . x48 x67x21 x67(x50 x67False)False)(∀ x67 . x61 x67 x6x64 x67False)(∀ x67 . x32 x67(x38 x67False)False)(∀ x67 . x9 x67(x23 x67False)False)(∀ x67 . x0 x67(x53 x67False)False)(∀ x67 . x61 x67 x6(x17 x67False)False)(∀ x67 x68 . x17 x68x61 x67 (x62 x68)(x17 x67False)False)(∀ x67 x68 . x32 x68x61 x67 (x62 x68)(x32 x67False)False)(∀ x67 x68 . x38 x68x61 x67 (x62 x68)(x38 x67False)False)(∀ x67 x68 . x42 x68x61 x67 (x62 x68)(x42 x67False)False)(∀ x67 x68 . x31 x68x61 x67 (x62 x68)(x31 x67False)False)(∀ x67 . x61 x67 x58(x66 x67False)False)(∀ x67 x68 . x0 x68x61 x67 (x62 x68)(x0 x67False)False)(∀ x67 . x50 x67(x21 x67False)False)(∀ x67 . x50 x67(x48 x67False)False)(∀ x67 . x9 x67(x9 x67False)False)(∀ x67 . x9 x67(x50 x67False)False)(∀ x67 . x17 x67(x32 x67False)False)(∀ x67 x68 . x30 x68x61 x67 (x62 x68)(x30 x67False)False)(∀ x67 . x0 x67(x17 x67False)False)(∀ x67 x68 . x17 x68x61 x67 x68(x9 x67False)False)(∀ x67 x68 . x32 x68x61 x67 x68(x23 x67False)False)(∀ x67 x68 . x38 x68x61 x67 x68(x33 x67False)False)(∀ x67 x68 . x42 x68x61 x67 x68(x66 x67False)False)(∀ x67 x68 . x31 x68x61 x67 x68(x59 x67False)False)(∀ x67 x68 . x30 x68x61 x67 x68(x13 x67False)False)(∀ x67 . x61 x67 (x62 x6)(x17 x67False)False)(∀ x67 x68 . x7 x68x61 x67 (x62 x68)(x7 x67False)False)(∀ x67 x68 . x29 x68x61 x67 (x62 x68)(x29 x67False)False)(∀ x67 x68 . x7 x68x61 x67 x68(x37 x67False)False)(∀ x67 x68 . x1 x67 x68x1 x68 x67False)(x65 (x3 x35 x34) (x3 x35 x36)False)(x65 x35 x4False)((x65 x34 x36False)False)((x66 x35False)False)((x66 x36False)False)((x66 x34False)False)False
as obj
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as prop
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theory
HotG
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address
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