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Proofgold Term Root Disambiguation

∀ x0 x1 x2 x3 x4 : ((ι → ι)ι → ι)((ι → ι)ι → ι)((ι → ι)ι → ι)(ι → ι)ι → ι . ∀ x5 x6 x7 x8 x9 : ((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 . ChurchNum_3ary_proj_p x0ChurchNum_8ary_proj_p x5x1 = ChurchNums_8x3_to_3_lt5_id_ge5_rot2 x5 x0x6 = ChurchNums_8_perm_3_4_5_6_7_0_1_2 x5ChurchNum_3ary_proj_p x2ChurchNum_3ary_proj_p x3ChurchNum_3ary_proj_p x4ChurchNum_8ary_proj_p x7ChurchNum_8ary_proj_p x8ChurchNum_8ary_proj_p x9(TwoRamseyGraph_4_5_24_ChurchNums_3x8 x0 x5 x2 x7 = λ x11 x12 . x12)(TwoRamseyGraph_4_5_24_ChurchNums_3x8 x0 x5 x3 x8 = λ x11 x12 . x12)(TwoRamseyGraph_4_5_24_ChurchNums_3x8 x0 x5 x4 x9 = λ x11 x12 . x12)(TwoRamseyGraph_4_5_24_ChurchNums_3x8 x1 x6 x2 x7 = λ x11 x12 . x12)(TwoRamseyGraph_4_5_24_ChurchNums_3x8 x1 x6 x3 x8 = λ x11 x12 . x12)(TwoRamseyGraph_4_5_24_ChurchNums_3x8 x1 x6 x4 x9 = λ x11 x12 . x12)(TwoRamseyGraph_4_5_24_ChurchNums_3x8 x2 x7 x3 x8 = λ x11 x12 . x12)(TwoRamseyGraph_4_5_24_ChurchNums_3x8 x2 x7 x4 x9 = λ x11 x12 . x12)(TwoRamseyGraph_4_5_24_ChurchNums_3x8 x3 x8 x4 x9 = λ x11 x12 . x12)False
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as prop
1b4dc..
theory
HotG
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f2682..
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TMVDi..