Theorem. (t8_aff_3)
∀r1_aff_1 : setsetsetsetprop, ∀m1_subset_1 : setsetprop, ∀u1_struct_0 : setset, ∀r2_hidden : setsetprop, ∀v1_aff_1 : setsetprop, ∀r5_aff_1 : setsetsetprop, ∀epred1_10 : setsetsetsetsetsetsetsetsetsetprop, ∀esk29_10 : setsetsetsetsetsetsetsetsetsetset, ∀esk28_10 : setsetsetsetsetsetsetsetsetsetset, ∀k1_zfmisc_1 : setset, ∀esk5_1 : setset, ∀esk9_1 : setset, ∀esk8_1 : setset, ∀esk3_1 : setset, ∀esk4_1 : setset, ∀esk2_1 : setset, ∀esk7_1 : setset, ∀esk10_1 : setset, ∀esk6_1 : setset, ∀v6_aff_3 : setprop, ∀r3_aff_1 : setsetsetprop, ∀esk27_4 : setsetsetsetset, ∀k2_aff_1 : setsetsetset, ∀k1_aff_1 : setsetsetset, ∀esk24_1 : setset, ∀k1_xboole_0 : set, ∀v1_xboole_0 : setprop, ∀esk1_0 : set, ∀esk22_0 : set, ∀esk21_0 : set, ∀esk23_1 : setset, ∀v1_zfmisc_1 : setprop, ∀v1_finset_1 : setprop, ∀v8_struct_0 : setprop, ∀np__1 : set, ∀v13_struct_0 : setsetprop, ∀esk25_1 : setset, ∀l1_struct_0 : setprop, ∀esk26_1 : setset, ∀v2_struct_0 : setprop, ∀v8_aff_3 : setprop, ∀v2_diraf : setprop, ∀esk13_1 : setset, ∀esk18_1 : setset, ∀esk20_1 : setset, ∀esk16_1 : setset, ∀esk14_1 : setset, ∀esk12_1 : setset, ∀esk15_1 : setset, ∀esk19_1 : setset, ∀esk17_1 : setset, ∀esk11_1 : setset, ∀l1_analoaf : setprop, ∀v1_diraf : setprop, ∀v7_struct_0 : setprop, ∀r2_analoaf : setsetsetsetsetprop, ∀esk30_11 : setsetsetsetsetsetsetsetsetsetsetset, ∀epred2_11 : setsetsetsetsetsetsetsetsetsetsetprop, (∀X1 X3 X6 X7 X9 X11 X10 X8 X5 X4 X2, (epred2_11 X1 X11 X9 X7 X3 X6 X4 X5 X8 X2 X10False)(r2_analoaf X1 X2 X3 X4 (esk30_11 X5 X2 X4 X6 X3 X7 X8 X9 X10 X11 X1)False)False)(∀X1 X3 X4 X6 X7 X8 X10 X11 X9 X5 X2, (epred2_11 X1 X11 X9 X2 X7 X3 X6 X4 X8 X5 X10False)(r1_aff_1 X1 X2 X3 (esk30_11 X4 X5 X6 X3 X7 X2 X8 X9 X10 X11 X1)False)False)(∀X1 X3 X4 X6 X10 X11 X9 X8 X7 X5 X2, (epred2_11 X1 X11 X9 X8 X3 X7 X6 X4 X2 X5 X10False)(r1_aff_1 X1 X2 X3 (esk30_11 X4 X5 X6 X7 X3 X8 X2 X9 X10 X11 X1)False)False)(∀X11 X2 X4 X6 X8 X10 X9 X7 X5 X3 X1, (epred2_11 X11 X10 X8 X6 X5 X4 X3 X1 X7 X2 X9False)(m1_subset_1 (esk30_11 X1 X2 X3 X4 X5 X6 X7 X8 X9 X10 X11) (u1_struct_0 X11)False)False)(∀X1 X3 X4 X6 X8 X11 X10 X9 X7 X5 X2, (epred2_11 X11 X10 X8 X6 X5 X4 X1 X2 X7 X3 X9False)(esk30_11 X2 X3 X1 X4 X5 X6 X7 X8 X9 X10 X11) = X1False)(∀X6 X5 X2 X1 X8 X4 X9 X10 X3 X11 X7 X12, (X7 = X12False)(X5 = X6False)(X3 = X11False)(X2 = X11False)(X2 = X3False)(r5_aff_1 X1 X2 X3False)(r1_aff_1 X1 X9 X10 X5False)(r1_aff_1 X1 X4 X8 X6False)r2_hidden X10 X2r2_hidden X9 X11r2_hidden X8 X2r2_hidden X6 X3r2_hidden X5 X3r2_hidden X4 X11v1_aff_1 X11 X1v1_aff_1 X3 X1v1_aff_1 X2 X1r5_aff_1 X1 X2 X11m1_subset_1 X12 (u1_struct_0 X1)r1_aff_1 X1 X9 X10 X7r1_aff_1 X1 X9 X5 X12r1_aff_1 X1 X4 X8 X7r1_aff_1 X1 X4 X6 X12r2_analoaf X1 X10 X5 X8 X6r2_analoaf X1 X10 X5 X7 X12epred2_11 X1 X2 X3 X4 X5 X6 X7 X8 X9 X10 X11False)(∀X1, (v7_struct_0 X1False)(v8_aff_3 X1False)v1_diraf X1v2_diraf X1l1_analoaf X1epred2_11 X1 (esk11_1 X1) (esk13_1 X1) (esk17_1 X1) (esk18_1 X1) (esk19_1 X1) (esk20_1 X1) (esk15_1 X1) (esk16_1 X1) (esk14_1 X1) (esk12_1 X1)False)(∀X1 X3 X4 X6 X7 X10 X9 X8 X5 X2, (epred1_10 X1 X2 X8 X3 X6 X7 X5 X4 X9 X10False)(r2_analoaf X1 X2 X3 (esk28_10 X4 X5 X6 X3 X7 X8 X2 X9 X10 X1) (esk29_10 X4 X5 X6 X3 X7 X8 X2 X9 X10 X1)False)False)(∀X6 X8 X11 X10 X9 X7 X2 X5 X4 X3 X1, (r2_analoaf X1 X2 X3 X4 X5False)(epred2_11 X1 X6 X7 X8 X3 X5 X9 X4 X10 X2 X11False)False)(∀X11 X9 X7 X5 X2 X3 X4 X6 X8 X10 X1, (v7_struct_0 X1False)(epred2_11 X1 X2 X4 X8 X9 X10 X11 X6 X7 X5 X3False)v1_diraf X1v2_diraf X1l1_analoaf X1v8_aff_3 X1m1_subset_1 X11 (u1_struct_0 X1)m1_subset_1 X10 (u1_struct_0 X1)m1_subset_1 X9 (u1_struct_0 X1)m1_subset_1 X8 (u1_struct_0 X1)m1_subset_1 X7 (u1_struct_0 X1)m1_subset_1 X6 (u1_struct_0 X1)m1_subset_1 X5 (u1_struct_0 X1)m1_subset_1 X4 (k1_zfmisc_1 (u1_struct_0 X1))m1_subset_1 X3 (k1_zfmisc_1 (u1_struct_0 X1))m1_subset_1 X2 (k1_zfmisc_1 (u1_struct_0 X1))False)(∀X6 X7 X8 X9 X10 X11 X5 X1 X4 X3 X2, (epred2_11 X1 X5 X6 X2 X7 X4 X8 X3 X9 X10 X11False)r1_aff_1 X1 X2 X3 X4False)(∀X6 X9 X11 X10 X8 X7 X5 X1 X4 X3 X2, (epred2_11 X1 X5 X6 X7 X4 X8 X9 X10 X2 X3 X11False)r1_aff_1 X1 X2 X3 X4False)(∀X5 X8 X11 X10 X9 X7 X6 X2 X3 X4 X1, (r1_aff_1 X1 X2 X3 X4False)(epred2_11 X1 X5 X6 X2 X7 X8 X4 X3 X9 X10 X11False)False)(∀X5 X7 X9 X10 X11 X8 X6 X2 X3 X4 X1, (r1_aff_1 X1 X2 X3 X4False)(epred2_11 X1 X5 X6 X7 X8 X9 X4 X10 X2 X3 X11False)False)(∀X5 X7 X9 X10 X11 X8 X6 X4 X1 X2 X3, (epred2_11 X1 X2 X3 X4 X5 X6 X7 X8 X9 X10 X11False)r5_aff_1 X1 X2 X3False)(∀X5 X7 X9 X11 X10 X8 X6 X4 X3 X2 X1, (r5_aff_1 X1 X2 X3False)(epred2_11 X1 X2 X4 X5 X6 X7 X8 X9 X10 X11 X3False)False)(∀X4 X6 X8 X11 X10 X9 X7 X5 X3 X1 X2, (v1_aff_1 X1 X2False)(epred2_11 X2 X1 X3 X4 X5 X6 X7 X8 X9 X10 X11False)False)(∀X3 X4 X6 X8 X11 X10 X9 X7 X5 X1 X2, (v1_aff_1 X1 X2False)(epred2_11 X2 X3 X1 X4 X5 X6 X7 X8 X9 X10 X11False)False)(∀X3 X5 X7 X9 X11 X10 X8 X6 X4 X1 X2, (v1_aff_1 X1 X2False)(epred2_11 X2 X3 X4 X5 X6 X7 X8 X9 X10 X11 X1False)False)(∀X5 X7 X11 X10 X9 X8 X6 X4 X3 X1 X2, (r2_hidden X1 X2False)(epred2_11 X3 X2 X4 X5 X6 X7 X8 X1 X9 X10 X11False)False)(∀X5 X7 X9 X11 X10 X8 X6 X4 X3 X1 X2, (r2_hidden X1 X2False)(epred2_11 X3 X2 X4 X5 X6 X7 X8 X9 X10 X1 X11False)False)(∀X4 X5 X6 X8 X11 X10 X9 X7 X3 X1 X2, (r2_hidden X1 X2False)(epred2_11 X3 X4 X2 X5 X1 X6 X7 X8 X9 X10 X11False)False)(∀X4 X5 X8 X11 X10 X9 X7 X6 X3 X1 X2, (r2_hidden X1 X2False)(epred2_11 X3 X4 X2 X5 X6 X1 X7 X8 X9 X10 X11False)False)(∀X4 X7 X9 X11 X10 X8 X6 X5 X3 X1 X2, (r2_hidden X1 X2False)(epred2_11 X3 X4 X5 X1 X6 X7 X8 X9 X10 X11 X2False)False)(∀X4 X6 X8 X10 X11 X9 X7 X5 X3 X1 X2, (r2_hidden X1 X2False)(epred2_11 X3 X4 X5 X6 X7 X8 X9 X10 X1 X11 X2False)False)(∀X3 X5 X7 X9 X10 X11 X8 X6 X4 X2 X1, (epred2_11 X3 X1 X2 X4 X5 X6 X7 X8 X9 X10 X11False)X1 = X2False)(∀X3 X4 X6 X8 X10 X11 X9 X7 X5 X2 X1, (epred2_11 X3 X1 X4 X5 X6 X7 X8 X9 X10 X11 X2False)X1 = X2False)(∀X3 X6 X8 X10 X11 X9 X7 X5 X4 X2 X1, (epred2_11 X3 X4 X2 X5 X6 X7 X8 X9 X10 X11 X1False)X1 = X2False)(∀X3 X5 X7 X9 X10 X11 X8 X6 X4 X2 X1, (epred2_11 X3 X4 X5 X6 X1 X2 X7 X8 X9 X10 X11False)X1 = X2False)(∀X2 X4 X6 X8 X9 X10 X7 X5 X3 X1, (epred1_10 X10 X7 X6 X4 X3 X5 X2 X1 X8 X9False)(esk29_10 X1 X2 X3 X4 X5 X6 X7 X8 X9 X10) = (esk28_10 X1 X2 X3 X4 X5 X6 X7 X8 X9 X10)False)(∀X1 X3 X4 X5 X7 X10 X9 X8 X6 X2, (epred1_10 X1 X3 X8 X6 X5 X7 X2 X4 X9 X10False)(r1_aff_1 X1 X2 X3 (esk28_10 X4 X2 X5 X6 X7 X8 X3 X9 X10 X1)False)False)(∀X1 X3 X4 X6 X8 X10 X9 X7 X5 X2, (epred1_10 X1 X8 X3 X7 X6 X2 X5 X4 X9 X10False)(r1_aff_1 X1 X2 X3 (esk28_10 X4 X5 X6 X7 X2 X3 X8 X9 X10 X1)False)False)(∀X1 X3 X4 X5 X6 X8 X10 X9 X7 X2, (epred1_10 X1 X8 X7 X3 X5 X6 X2 X4 X9 X10False)(r1_aff_1 X1 X2 X3 (esk29_10 X4 X2 X5 X3 X6 X7 X8 X9 X10 X1)False)False)(∀X1 X3 X4 X8 X10 X9 X7 X6 X5 X2, (epred1_10 X1 X8 X7 X6 X3 X2 X5 X4 X9 X10False)(r1_aff_1 X1 X2 X3 (esk29_10 X4 X5 X3 X6 X2 X7 X8 X9 X10 X1)False)False)(∀X10 X2 X4 X6 X8 X9 X7 X5 X3 X1, (epred1_10 X10 X7 X6 X4 X3 X5 X2 X1 X8 X9False)(m1_subset_1 (esk29_10 X1 X2 X3 X4 X5 X6 X7 X8 X9 X10) (u1_struct_0 X10)False)False)(∀X10 X2 X4 X6 X8 X9 X7 X5 X3 X1, (epred1_10 X10 X7 X6 X4 X3 X5 X2 X1 X8 X9False)(m1_subset_1 (esk28_10 X1 X2 X3 X4 X5 X6 X7 X8 X9 X10) (u1_struct_0 X10)False)False)(∀X10 X9 X5 X3 X6 X7 X2 X4 X1 X8 X11 X12, (X11 = X12False)(X9 = X10False)(X8 = X10False)(X8 = X9False)(r1_aff_1 X1 X7 X2 X4False)(r1_aff_1 X1 X6 X3 X5False)(r2_analoaf X1 X2 X4 X3 X5False)r2_hidden X7 X8r2_hidden X6 X8r2_hidden X5 X9r2_hidden X4 X9r2_hidden X3 X10r2_hidden X2 X10v1_aff_1 X10 X1v1_aff_1 X9 X1v1_aff_1 X8 X1r5_aff_1 X1 X10 X9r5_aff_1 X1 X10 X8m1_subset_1 X12 (u1_struct_0 X1)m1_subset_1 X11 (u1_struct_0 X1)r1_aff_1 X1 X7 X4 X12r1_aff_1 X1 X7 X2 X11r1_aff_1 X1 X6 X5 X12r1_aff_1 X1 X6 X3 X11r2_analoaf X1 X2 X4 X11 X12epred1_10 X1 X2 X3 X4 X5 X6 X7 X8 X9 X10False)(∀X1, (v7_struct_0 X1False)(v6_aff_3 X1False)v1_diraf X1v2_diraf X1l1_analoaf X1epred1_10 X1 (esk5_1 X1) (esk6_1 X1) (esk9_1 X1) (esk10_1 X1) (esk8_1 X1) (esk7_1 X1) (esk3_1 X1) (esk4_1 X1) (esk2_1 X1)False)(∀X7 X10 X9 X8 X6 X1 X3 X4 X5 X2, (epred1_10 X1 X2 X4 X3 X5 X6 X7 X8 X9 X10False)r2_analoaf X1 X2 X3 X4 X5False)(∀X5 X6 X10 X9 X8 X7 X1 X4 X3 X2, (epred1_10 X1 X3 X5 X4 X6 X7 X2 X8 X9 X10False)r1_aff_1 X1 X2 X3 X4False)(∀X7 X10 X9 X8 X6 X5 X1 X4 X3 X2, (epred1_10 X1 X5 X3 X6 X4 X2 X7 X8 X9 X10False)r1_aff_1 X1 X2 X3 X4False)(∀X10 X8 X6 X4 X3 X2 X5 X7 X9 X1, (v7_struct_0 X1False)(epred1_10 X1 X5 X6 X9 X10 X8 X7 X3 X4 X2False)v1_diraf X1v2_diraf X1l1_analoaf X1v6_aff_3 X1m1_subset_1 X10 (u1_struct_0 X1)m1_subset_1 X9 (u1_struct_0 X1)m1_subset_1 X8 (u1_struct_0 X1)m1_subset_1 X7 (u1_struct_0 X1)m1_subset_1 X6 (u1_struct_0 X1)m1_subset_1 X5 (u1_struct_0 X1)m1_subset_1 X4 (k1_zfmisc_1 (u1_struct_0 X1))m1_subset_1 X3 (k1_zfmisc_1 (u1_struct_0 X1))m1_subset_1 X2 (k1_zfmisc_1 (u1_struct_0 X1))False)(∀X4 X6 X8 X10 X9 X7 X5 X3 X2 X1, (r5_aff_1 X1 X2 X3False)(epred1_10 X1 X4 X5 X6 X7 X8 X9 X3 X10 X2False)False)(∀X4 X6 X8 X10 X9 X7 X5 X3 X2 X1, (r5_aff_1 X1 X2 X3False)(epred1_10 X1 X4 X5 X6 X7 X8 X9 X10 X3 X2False)False)(∀X3 X5 X7 X9 X10 X8 X6 X4 X1 X2, (v1_aff_1 X1 X2False)(epred1_10 X2 X3 X4 X5 X6 X7 X8 X1 X9 X10False)False)(∀X3 X5 X7 X9 X10 X8 X6 X4 X1 X2, (v1_aff_1 X1 X2False)(epred1_10 X2 X3 X4 X5 X6 X7 X8 X9 X1 X10False)False)(∀X3 X5 X7 X9 X10 X8 X6 X4 X1 X2, (v1_aff_1 X1 X2False)(epred1_10 X2 X3 X4 X5 X6 X7 X8 X9 X10 X1False)False)(∀X5 X7 X9 X10 X8 X6 X4 X3 X1 X2, (r2_hidden X1 X2False)(epred1_10 X3 X1 X4 X5 X6 X7 X8 X9 X10 X2False)False)(∀X4 X5 X7 X9 X10 X8 X6 X3 X1 X2, (r2_hidden X1 X2False)(epred1_10 X3 X4 X1 X5 X6 X7 X8 X9 X10 X2False)False)(∀X4 X7 X9 X10 X8 X6 X5 X3 X1 X2, (r2_hidden X1 X2False)(epred1_10 X3 X4 X5 X1 X6 X7 X8 X9 X2 X10False)False)(∀X4 X6 X7 X9 X10 X8 X5 X3 X1 X2, (r2_hidden X1 X2False)(epred1_10 X3 X4 X5 X6 X1 X7 X8 X9 X2 X10False)False)(∀X4 X6 X9 X10 X8 X7 X5 X3 X1 X2, (r2_hidden X1 X2False)(epred1_10 X3 X4 X5 X6 X7 X1 X8 X2 X9 X10False)False)(∀X4 X6 X8 X9 X10 X7 X5 X3 X1 X2, (r2_hidden X1 X2False)(epred1_10 X3 X4 X5 X6 X7 X8 X1 X2 X9 X10False)False)(∀X3 X5 X7 X9 X10 X8 X6 X4 X2 X1, (epred1_10 X3 X4 X5 X6 X7 X8 X9 X1 X2 X10False)X1 = X2False)(∀X3 X5 X7 X9 X10 X8 X6 X4 X2 X1, (epred1_10 X3 X4 X5 X6 X7 X8 X9 X2 X10 X1False)X1 = X2False)(∀X3 X5 X7 X9 X10 X8 X6 X4 X2 X1, (epred1_10 X3 X4 X5 X6 X7 X8 X9 X10 X2 X1False)X1 = X2False)(∀X1 X4 X7 X6 X5 X2 X3, (X2 = X3False)(v7_struct_0 X1False)(r2_analoaf X1 X4 X5 X6 X7False)v1_diraf X1l1_analoaf X1m1_subset_1 X7 (u1_struct_0 X1)m1_subset_1 X6 (u1_struct_0 X1)m1_subset_1 X5 (u1_struct_0 X1)m1_subset_1 X4 (u1_struct_0 X1)m1_subset_1 X3 (u1_struct_0 X1)m1_subset_1 X2 (u1_struct_0 X1)r2_analoaf X1 X2 X3 X6 X7r2_analoaf X1 X2 X3 X4 X5False)(∀X1 X4 X7 X6 X5 X2 X3, (X2 = X3False)(v7_struct_0 X1False)(r2_analoaf X1 X4 X5 X6 X7False)v1_diraf X1l1_analoaf X1m1_subset_1 X7 (u1_struct_0 X1)m1_subset_1 X6 (u1_struct_0 X1)m1_subset_1 X5 (u1_struct_0 X1)m1_subset_1 X4 (u1_struct_0 X1)m1_subset_1 X3 (u1_struct_0 X1)m1_subset_1 X2 (u1_struct_0 X1)r2_analoaf X1 X6 X7 X2 X3r2_analoaf X1 X2 X3 X4 X5False)(∀X1 X2 X7 X6 X3 X4 X5, (X4 = X5False)(v7_struct_0 X1False)(r2_analoaf X1 X2 X3 X6 X7False)v1_diraf X1l1_analoaf X1m1_subset_1 X7 (u1_struct_0 X1)m1_subset_1 X6 (u1_struct_0 X1)m1_subset_1 X5 (u1_struct_0 X1)m1_subset_1 X4 (u1_struct_0 X1)m1_subset_1 X3 (u1_struct_0 X1)m1_subset_1 X2 (u1_struct_0 X1)r2_analoaf X1 X4 X5 X6 X7r2_analoaf X1 X2 X3 X4 X5False)(∀X1 X2 X7 X6 X3 X4 X5, (X4 = X5False)(v7_struct_0 X1False)(r2_analoaf X1 X2 X3 X6 X7False)v1_diraf X1l1_analoaf X1m1_subset_1 X7 (u1_struct_0 X1)m1_subset_1 X6 (u1_struct_0 X1)m1_subset_1 X5 (u1_struct_0 X1)m1_subset_1 X4 (u1_struct_0 X1)m1_subset_1 X3 (u1_struct_0 X1)m1_subset_1 X2 (u1_struct_0 X1)r2_analoaf X1 X6 X7 X4 X5r2_analoaf X1 X2 X3 X4 X5False)(∀X5 X3 X2 X4 X1, (v7_struct_0 X1False)(r2_analoaf X1 X2 X3 X4 X5False)v1_diraf X1l1_analoaf X1m1_subset_1 X5 (u1_struct_0 X1)m1_subset_1 X4 (u1_struct_0 X1)m1_subset_1 X3 (u1_struct_0 X1)m1_subset_1 X2 (u1_struct_0 X1)r2_analoaf X1 X2 X3 X5 X4False)(∀X5 X3 X2 X4 X1, (v7_struct_0 X1False)(r2_analoaf X1 X2 X3 X4 X5False)v1_diraf X1l1_analoaf X1m1_subset_1 X5 (u1_struct_0 X1)m1_subset_1 X4 (u1_struct_0 X1)m1_subset_1 X3 (u1_struct_0 X1)m1_subset_1 X2 (u1_struct_0 X1)r2_analoaf X1 X3 X2 X4 X5False)(∀X5 X3 X2 X4 X1, (v7_struct_0 X1False)(r2_analoaf X1 X2 X3 X4 X5False)v1_diraf X1l1_analoaf X1m1_subset_1 X5 (u1_struct_0 X1)m1_subset_1 X4 (u1_struct_0 X1)m1_subset_1 X3 (u1_struct_0 X1)m1_subset_1 X2 (u1_struct_0 X1)r2_analoaf X1 X3 X2 X5 X4False)(∀X5 X3 X2 X4 X1, (v7_struct_0 X1False)(r2_analoaf X1 X2 X3 X4 X5False)v1_diraf X1l1_analoaf X1m1_subset_1 X5 (u1_struct_0 X1)m1_subset_1 X4 (u1_struct_0 X1)m1_subset_1 X3 (u1_struct_0 X1)m1_subset_1 X2 (u1_struct_0 X1)r2_analoaf X1 X4 X5 X2 X3False)(∀X5 X3 X2 X4 X1, (v7_struct_0 X1False)(r2_analoaf X1 X2 X3 X4 X5False)v1_diraf X1l1_analoaf X1m1_subset_1 X5 (u1_struct_0 X1)m1_subset_1 X4 (u1_struct_0 X1)m1_subset_1 X3 (u1_struct_0 X1)m1_subset_1 X2 (u1_struct_0 X1)r2_analoaf X1 X4 X5 X3 X2False)(∀X5 X3 X2 X4 X1, (v7_struct_0 X1False)(r2_analoaf X1 X2 X3 X4 X5False)v1_diraf X1l1_analoaf X1m1_subset_1 X5 (u1_struct_0 X1)m1_subset_1 X4 (u1_struct_0 X1)m1_subset_1 X3 (u1_struct_0 X1)m1_subset_1 X2 (u1_struct_0 X1)r2_analoaf X1 X5 X4 X2 X3False)(∀X5 X3 X2 X4 X1, (v7_struct_0 X1False)(r2_analoaf X1 X2 X3 X4 X5False)v1_diraf X1l1_analoaf X1m1_subset_1 X5 (u1_struct_0 X1)m1_subset_1 X4 (u1_struct_0 X1)m1_subset_1 X3 (u1_struct_0 X1)m1_subset_1 X2 (u1_struct_0 X1)r2_analoaf X1 X5 X4 X3 X2False)(∀X3 X2 X6 X7 X1 X4 X5, (X4 = X5False)(X2 = X3False)(v7_struct_0 X1False)(r3_aff_1 X1 X6 X7False)v1_diraf X1l1_analoaf X1r2_hidden X5 X7r2_hidden X4 X7r2_hidden X3 X6r2_hidden X2 X6v1_aff_1 X7 X1v1_aff_1 X6 X1m1_subset_1 X5 (u1_struct_0 X1)m1_subset_1 X4 (u1_struct_0 X1)m1_subset_1 X3 (u1_struct_0 X1)m1_subset_1 X2 (u1_struct_0 X1)r2_analoaf X1 X2 X3 X4 X5m1_subset_1 X7 (k1_zfmisc_1 (u1_struct_0 X1))m1_subset_1 X6 (k1_zfmisc_1 (u1_struct_0 X1))False)(∀X4 X2 X3 X1, (v7_struct_0 X1False)(r1_aff_1 X1 X2 X3 X4False)v1_diraf X1l1_analoaf X1m1_subset_1 X4 (u1_struct_0 X1)m1_subset_1 X3 (u1_struct_0 X1)m1_subset_1 X2 (u1_struct_0 X1)r2_analoaf X1 X2 X3 X2 X4False)(∀X1 X4 X5 X6 X2 X3, (X2 = X3False)(v7_struct_0 X1False)(r2_hidden X5 X6False)v1_diraf X1l1_analoaf X1r2_hidden X4 X6r2_hidden X3 X6r2_hidden X2 X6v1_aff_1 X6 X1m1_subset_1 X5 (u1_struct_0 X1)m1_subset_1 X4 (u1_struct_0 X1)m1_subset_1 X3 (u1_struct_0 X1)m1_subset_1 X2 (u1_struct_0 X1)r2_analoaf X1 X2 X3 X4 X5m1_subset_1 X6 (k1_zfmisc_1 (u1_struct_0 X1))False)(∀X4 X2 X3 X1, (v7_struct_0 X1False)(r2_analoaf X1 X2 X3 X2 X4False)v1_diraf X1l1_analoaf X1m1_subset_1 X4 (u1_struct_0 X1)m1_subset_1 X3 (u1_struct_0 X1)m1_subset_1 X2 (u1_struct_0 X1)r1_aff_1 X1 X2 X3 X4False)(∀X5 X4 X2 X3 X1 X6 X7, (X6 = X7False)(X4 = X5False)(v7_struct_0 X1False)(r2_analoaf X1 X4 X5 X6 X7False)v1_diraf X1l1_analoaf X1r2_hidden X7 X3r2_hidden X6 X3r2_hidden X5 X2r2_hidden X4 X2v1_aff_1 X3 X1v1_aff_1 X2 X1r3_aff_1 X1 X2 X3m1_subset_1 X7 (u1_struct_0 X1)m1_subset_1 X6 (u1_struct_0 X1)m1_subset_1 X5 (u1_struct_0 X1)m1_subset_1 X4 (u1_struct_0 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X2 (u1_struct_0 X1)r1_aff_1 X1 X3 X2 X4False)(∀X4 X2 X3 X1, (v7_struct_0 X1False)(r1_aff_1 X1 X2 X3 X4False)v1_diraf X1l1_analoaf X1m1_subset_1 X4 (u1_struct_0 X1)m1_subset_1 X3 (u1_struct_0 X1)m1_subset_1 X2 (u1_struct_0 X1)r1_aff_1 X1 X3 X4 X2False)(∀X4 X2 X3 X1, (v7_struct_0 X1False)(r1_aff_1 X1 X2 X3 X4False)v1_diraf X1l1_analoaf X1m1_subset_1 X4 (u1_struct_0 X1)m1_subset_1 X3 (u1_struct_0 X1)m1_subset_1 X2 (u1_struct_0 X1)r1_aff_1 X1 X4 X2 X3False)(∀X4 X2 X3 X1, (v7_struct_0 X1False)(r1_aff_1 X1 X2 X3 X4False)v1_diraf X1l1_analoaf X1m1_subset_1 X4 (u1_struct_0 X1)m1_subset_1 X3 (u1_struct_0 X1)m1_subset_1 X2 (u1_struct_0 X1)r1_aff_1 X1 X4 X3 X2False)(∀X1 X4 X5 X2 X3, (X2 = X3False)(v7_struct_0 X1False)(r2_hidden X4 X5False)v1_diraf X1l1_analoaf X1r2_hidden X3 X5r2_hidden X2 X5v1_aff_1 X5 X1m1_subset_1 X4 (u1_struct_0 X1)m1_subset_1 X3 (u1_struct_0 X1)m1_subset_1 X2 (u1_struct_0 X1)r1_aff_1 X1 X2 X3 X4m1_subset_1 X5 (k1_zfmisc_1 (u1_struct_0 X1))False)(∀X5 X4 X3 X1 X2, (v7_struct_0 X2False)(r1_aff_1 X2 X3 X4 X5False)v1_diraf X2l1_analoaf X2r2_hidden X5 X1r2_hidden X4 X1r2_hidden X3 X1v1_aff_1 X1 X2m1_subset_1 X5 (u1_struct_0 X2)m1_subset_1 X4 (u1_struct_0 X2)m1_subset_1 X3 (u1_struct_0 X2)m1_subset_1 X1 (k1_zfmisc_1 (u1_struct_0 X2))False)(∀X2 X4 X3 X1, (v7_struct_0 X1False)(r5_aff_1 X1 X2 X4False)v1_diraf X1l1_analoaf X1r5_aff_1 X1 X3 X4r5_aff_1 X1 X2 X3m1_subset_1 X4 (k1_zfmisc_1 (u1_struct_0 X1))m1_subset_1 X3 (k1_zfmisc_1 (u1_struct_0 X1))m1_subset_1 X2 (k1_zfmisc_1 (u1_struct_0 X1))False)(∀X2 X4 X3 X1, (v7_struct_0 X1False)(r5_aff_1 X1 X2 X4False)v1_diraf X1l1_analoaf X1r5_aff_1 X1 X4 X3r5_aff_1 X1 X2 X3m1_subset_1 X4 (k1_zfmisc_1 (u1_struct_0 X1))m1_subset_1 X3 (k1_zfmisc_1 (u1_struct_0 X1))m1_subset_1 X2 (k1_zfmisc_1 (u1_struct_0 X1))False)(∀X3 X4 X2 X1, (v7_struct_0 X1False)(r5_aff_1 X1 X3 X4False)v1_diraf X1l1_analoaf X1r5_aff_1 X1 X2 X4r5_aff_1 X1 X2 X3m1_subset_1 X4 (k1_zfmisc_1 (u1_struct_0 X1))m1_subset_1 X3 (k1_zfmisc_1 (u1_struct_0 X1))m1_subset_1 X2 (k1_zfmisc_1 (u1_struct_0 X1))False)(∀X3 X4 X2 X1, (v7_struct_0 X1False)(r5_aff_1 X1 X3 X4False)v1_diraf X1l1_analoaf X1r5_aff_1 X1 X4 X2r5_aff_1 X1 X2 X3m1_subset_1 X4 (k1_zfmisc_1 (u1_struct_0 X1))m1_subset_1 X3 (k1_zfmisc_1 (u1_struct_0 X1))m1_subset_1 X2 (k1_zfmisc_1 (u1_struct_0 X1))False)(∀X2 X3 X1, (v7_struct_0 X1False)(r1_aff_1 X1 X2 X2 X3False)v1_diraf X1l1_analoaf X1m1_subset_1 X3 (u1_struct_0 X1)m1_subset_1 X2 (u1_struct_0 X1)False)(∀X2 X3 X1, (v7_struct_0 X1False)(r1_aff_1 X1 X2 X3 X2False)v1_diraf X1l1_analoaf X1m1_subset_1 X3 (u1_struct_0 X1)m1_subset_1 X2 (u1_struct_0 X1)False)(∀X2 X3 X1, (v7_struct_0 X1False)(r1_aff_1 X1 X2 X3 X3False)v1_diraf X1l1_analoaf X1m1_subset_1 X3 (u1_struct_0 X1)m1_subset_1 X2 (u1_struct_0 X1)False)(∀X3 X2 X1 X4 X5, (X4 = X5False)(X2 = X3False)(v7_struct_0 X1False)v1_diraf X1l1_analoaf X1r2_hidden X3 X5r2_hidden X3 X4r2_hidden X2 X5r2_hidden X2 X4v1_aff_1 X5 X1v1_aff_1 X4 X1m1_subset_1 X3 (u1_struct_0 X1)m1_subset_1 X2 (u1_struct_0 X1)m1_subset_1 X5 (k1_zfmisc_1 (u1_struct_0 X1))m1_subset_1 X4 (k1_zfmisc_1 (u1_struct_0 X1))False)(∀X1 X2 X3 X4, (X3 = X4False)(v7_struct_0 X1False)v1_diraf X1l1_analoaf X1r2_hidden X2 X4r2_hidden X2 X3r5_aff_1 X1 X3 X4m1_subset_1 X2 (u1_struct_0 X1)m1_subset_1 X4 (k1_zfmisc_1 (u1_struct_0 X1))m1_subset_1 X3 (k1_zfmisc_1 (u1_struct_0 X1))False)(∀X2 X3 X1, (v7_struct_0 X1False)(r3_aff_1 X1 X2 X3False)v1_diraf X1l1_analoaf X1r5_aff_1 X1 X2 X3m1_subset_1 X3 (k1_zfmisc_1 (u1_struct_0 X1))m1_subset_1 X2 (k1_zfmisc_1 (u1_struct_0 X1))False)(∀X2 X3 X1, (v7_struct_0 X1False)(r5_aff_1 X1 X2 X3False)v1_diraf X1l1_analoaf X1r3_aff_1 X1 X2 X3m1_subset_1 X3 (k1_zfmisc_1 (u1_struct_0 X1))m1_subset_1 X2 (k1_zfmisc_1 (u1_struct_0 X1))False)(∀X2 X3 X1, (v7_struct_0 X1False)(r5_aff_1 X1 X3 X2False)v1_diraf X1l1_analoaf X1r5_aff_1 X1 X2 X3m1_subset_1 X3 (k1_zfmisc_1 (u1_struct_0 X1))m1_subset_1 X2 (k1_zfmisc_1 (u1_struct_0 X1))False)(∀X2 X1 X3 X4, (X3 = X4False)(X1 = (k2_aff_1 X2 X3 X4)False)(v7_struct_0 X2False)v1_diraf X2l1_analoaf X2r2_hidden X4 X1r2_hidden X3 X1v1_aff_1 X1 X2m1_subset_1 X4 (u1_struct_0 X2)m1_subset_1 X3 (u1_struct_0 X2)m1_subset_1 X1 (k1_zfmisc_1 (u1_struct_0 X2))False)(∀X4 X2 X1 X3, (X1 = X3False)(v7_struct_0 X4False)(r2_hidden X1 X2False)X2 = (k2_aff_1 X4 X1 X3)v1_diraf X4l1_analoaf X4m1_subset_1 X3 (u1_struct_0 X4)m1_subset_1 X1 (u1_struct_0 X4)m1_subset_1 X2 (k1_zfmisc_1 (u1_struct_0 X4))False)(∀X4 X2 X1 X3, (X1 = X3False)(v7_struct_0 X4False)(r2_hidden X1 X2False)X2 = (k2_aff_1 X4 X3 X1)v1_diraf X4l1_analoaf X4m1_subset_1 X3 (u1_struct_0 X4)m1_subset_1 X1 (u1_struct_0 X4)m1_subset_1 X2 (k1_zfmisc_1 (u1_struct_0 X4))False)(∀X2 X1 X3 X4, (X3 = X4False)(v7_struct_0 X2False)(v1_aff_1 X1 X2False)X1 = (k2_aff_1 X2 X3 X4)v1_diraf X2l1_analoaf X2m1_subset_1 X4 (u1_struct_0 X2)m1_subset_1 X3 (u1_struct_0 X2)m1_subset_1 X1 (k1_zfmisc_1 (u1_struct_0 X2))False)(∀X2 X3 X1, (v7_struct_0 X1False)(m1_subset_1 (k1_aff_1 X1 X2 X3) (k1_zfmisc_1 (u1_struct_0 X1))False)v1_diraf X1l1_analoaf X1m1_subset_1 X3 (u1_struct_0 X1)m1_subset_1 X2 (u1_struct_0 X1)False)(∀X2 X3 X1, (v7_struct_0 X1False)(m1_subset_1 (k2_aff_1 X1 X2 X3) (k1_zfmisc_1 (u1_struct_0 X1))False)v1_diraf X1l1_analoaf X1m1_subset_1 X3 (u1_struct_0 X1)m1_subset_1 X2 (u1_struct_0 X1)False)(∀X2 X3 X1, ((k1_aff_1 X1 X2 X3) = (k2_aff_1 X1 X2 X3)False)(v7_struct_0 X1False)v1_diraf X1l1_analoaf X1m1_subset_1 X3 (u1_struct_0 X1)m1_subset_1 X2 (u1_struct_0 X1)False)(∀X2 X3 X1, ((k2_aff_1 X1 X2 X3) = (k2_aff_1 X1 X3 X2)False)(v7_struct_0 X1False)v1_diraf X1l1_analoaf X1m1_subset_1 X3 (u1_struct_0 X1)m1_subset_1 X2 (u1_struct_0 X1)False)(∀X1, (v7_struct_0 X1False)(v8_aff_3 X1False)(m1_subset_1 (esk13_1 X1) (k1_zfmisc_1 (u1_struct_0 X1))False)v1_diraf X1v2_diraf X1l1_analoaf X1False)(∀X1, (v7_struct_0 X1False)(v8_aff_3 X1False)(m1_subset_1 (esk12_1 X1) (k1_zfmisc_1 (u1_struct_0 X1))False)v1_diraf X1v2_diraf X1l1_analoaf X1False)(∀X1, (v7_struct_0 X1False)(v8_aff_3 X1False)(m1_subset_1 (esk11_1 X1) (k1_zfmisc_1 (u1_struct_0 X1))False)v1_diraf X1v2_diraf X1l1_analoaf X1False)(∀X1, (v7_struct_0 X1False)(v6_aff_3 X1False)(m1_subset_1 (esk4_1 X1) (k1_zfmisc_1 (u1_struct_0 X1))False)v1_diraf X1v2_diraf X1l1_analoaf X1False)(∀X1, (v7_struct_0 X1False)(v6_aff_3 X1False)(m1_subset_1 (esk3_1 X1) (k1_zfmisc_1 (u1_struct_0 X1))False)v1_diraf X1v2_diraf X1l1_analoaf X1False)(∀X1, (v7_struct_0 X1False)(v6_aff_3 X1False)(m1_subset_1 (esk2_1 X1) (k1_zfmisc_1 (u1_struct_0 X1))False)v1_diraf X1v2_diraf X1l1_analoaf X1False)(∀X1, (v7_struct_0 X1False)(v8_aff_3 X1False)(m1_subset_1 (esk20_1 X1) (u1_struct_0 X1)False)v1_diraf X1v2_diraf X1l1_analoaf X1False)(∀X1, (v7_struct_0 X1False)(v8_aff_3 X1False)(m1_subset_1 (esk19_1 X1) (u1_struct_0 X1)False)v1_diraf X1v2_diraf X1l1_analoaf X1False)(∀X1, (v7_struct_0 X1False)(v8_aff_3 X1False)(m1_subset_1 (esk18_1 X1) (u1_struct_0 X1)False)v1_diraf X1v2_diraf X1l1_analoaf X1False)(∀X1, (v7_struct_0 X1False)(v8_aff_3 X1False)(m1_subset_1 (esk17_1 X1) (u1_struct_0 X1)False)v1_diraf X1v2_diraf X1l1_analoaf X1False)(∀X1, (v7_struct_0 X1False)(v8_aff_3 X1False)(m1_subset_1 (esk16_1 X1) (u1_struct_0 X1)False)v1_diraf X1v2_diraf X1l1_analoaf X1False)(∀X1, (v7_struct_0 X1False)(v8_aff_3 X1False)(m1_subset_1 (esk15_1 X1) (u1_struct_0 X1)False)v1_diraf X1v2_diraf X1l1_analoaf X1False)(∀X1, (v7_struct_0 X1False)(v8_aff_3 X1False)(m1_subset_1 (esk14_1 X1) (u1_struct_0 X1)False)v1_diraf X1v2_diraf X1l1_analoaf X1False)(∀X1, (v7_struct_0 X1False)(v6_aff_3 X1False)(m1_subset_1 (esk10_1 X1) (u1_struct_0 X1)False)v1_diraf X1v2_diraf X1l1_analoaf X1False)(∀X1, (v7_struct_0 X1False)(v6_aff_3 X1False)(m1_subset_1 (esk9_1 X1) (u1_struct_0 X1)False)v1_diraf X1v2_diraf X1l1_analoaf X1False)(∀X1, (v7_struct_0 X1False)(v6_aff_3 X1False)(m1_subset_1 (esk8_1 X1) (u1_struct_0 X1)False)v1_diraf X1v2_diraf X1l1_analoaf X1False)(∀X1, (v7_struct_0 X1False)(v6_aff_3 X1False)(m1_subset_1 (esk7_1 X1) (u1_struct_0 X1)False)v1_diraf X1v2_diraf X1l1_analoaf X1False)(∀X1, (v7_struct_0 X1False)(v6_aff_3 X1False)(m1_subset_1 (esk6_1 X1) (u1_struct_0 X1)False)v1_diraf X1v2_diraf X1l1_analoaf X1False)(∀X1, (v7_struct_0 X1False)(v6_aff_3 X1False)(m1_subset_1 (esk5_1 X1) (u1_struct_0 X1)False)v1_diraf X1v2_diraf X1l1_analoaf X1False)(∀X1, (v2_struct_0 X1False)(m1_subset_1 (esk26_1 X1) (k1_zfmisc_1 (u1_struct_0 X1))False)l1_struct_0 X1False)(∀X1, (v2_struct_0 X1False)(m1_subset_1 (esk24_1 X1) (k1_zfmisc_1 (u1_struct_0 X1))False)l1_struct_0 X1False)(∀X1, (v7_struct_0 X1False)(m1_subset_1 (esk25_1 X1) (k1_zfmisc_1 (u1_struct_0 X1))False)l1_struct_0 X1False)(∀X2 X1, r2_hidden X2 X1r2_hidden X1 X2False)(∀X1, l1_struct_0 X1v2_struct_0 X1v13_struct_0 X1 np__1False)(∀X1, (v2_struct_0 X1False)l1_struct_0 X1v13_struct_0 X1 k1_xboole_0False)(∀X1, (v7_struct_0 X1False)l1_struct_0 X1v13_struct_0 X1 np__1False)(∀X1, (v2_struct_0 X1False)(v13_struct_0 X1 np__1False)v7_struct_0 X1l1_struct_0 X1False)(∀X1, (v8_struct_0 X1False)l1_struct_0 X1v1_finset_1 (u1_struct_0 X1)False)(∀X1, (v2_struct_0 X1False)l1_struct_0 X1v1_xboole_0 (esk26_1 X1)False)(∀X1, (v2_struct_0 X1False)l1_struct_0 X1v1_xboole_0 (esk24_1 X1)False)(∀X1, (v2_struct_0 X1False)l1_struct_0 X1v1_xboole_0 (u1_struct_0 X1)False)(∀X1, (v7_struct_0 X1False)l1_struct_0 X1v1_zfmisc_1 (esk25_1 X1)False)(∀X1, (v7_struct_0 X1False)l1_struct_0 X1v1_zfmisc_1 (u1_struct_0 X1)False)(∀X1, (v13_struct_0 X1 k1_xboole_0False)l1_struct_0 X1v2_struct_0 X1False)(∀X1, (v1_finset_1 (u1_struct_0 X1)False)l1_struct_0 X1v8_struct_0 X1False)(∀X1, (v1_zfmisc_1 (u1_struct_0 X1)False)v7_struct_0 X1l1_struct_0 X1False)(∀X1, (v1_xboole_0 (u1_struct_0 X1)False)l1_struct_0 X1v2_struct_0 X1False)(∀X1, (v2_struct_0 X1False)(v1_zfmisc_1 (esk24_1 X1)False)l1_struct_0 X1False)(∀X1, (v8_struct_0 X1False)l1_struct_0 X1v2_struct_0 X1False)(∀X1, (v8_struct_0 X1False)l1_struct_0 X1v2_struct_0 X1False)(∀X1, (v8_struct_0 X1False)v7_struct_0 X1l1_struct_0 X1False)(∀X1, (v8_struct_0 X1False)v7_struct_0 X1l1_struct_0 X1False)(∀X1, (v7_struct_0 X1False)l1_struct_0 X1v2_struct_0 X1False)(∀X1, (v7_struct_0 X1False)l1_struct_0 X1v2_struct_0 X1False)(∀X1, (v7_struct_0 X1False)l1_struct_0 X1v2_struct_0 X1False)(∀X1, (l1_struct_0 X1False)l1_analoaf X1False)(v6_aff_3 esk1_0v8_aff_3 esk1_0False)((v6_aff_3 esk1_0False)(v8_aff_3 esk1_0False)False)(v7_struct_0 esk1_0False)(∀X1, (m1_subset_1 (esk23_1 X1) X1False)False)((l1_struct_0 esk22_0False)False)((l1_analoaf esk21_0False)False)((l1_analoaf esk1_0False)False)((v2_diraf esk1_0False)False)((v1_diraf esk1_0False)False)False
Proof:
The rest of the proof is missing.