Theorem. (t15_aff_2)
∀l1_analoaf : setprop, ∀v13_aff_2 : setprop, ∀v1_diraf : setprop, ∀v7_struct_0 : setprop, ∀k2_aff_1 : setsetsetset, ∀r3_aff_1 : setsetsetprop, ∀r1_aff_1 : setsetsetsetprop, ∀esk27_1 : setset, ∀esk31_1 : setset, ∀esk30_1 : setset, ∀esk28_1 : setset, ∀esk25_1 : setset, ∀esk23_1 : setset, ∀v2_struct_0 : setprop, ∀esk15_1 : setset, ∀l1_struct_0 : setprop, ∀esk14_1 : setset, ∀v13_struct_0 : setsetprop, ∀np__1 : set, ∀v11_aff_2 : setprop, ∀v8_struct_0 : setprop, ∀v1_finset_1 : setprop, ∀v1_zfmisc_1 : setprop, ∀esk1_0 : set, ∀esk12_1 : setset, ∀esk10_0 : set, ∀esk11_0 : set, ∀v1_xboole_0 : setprop, ∀k1_xboole_0 : set, ∀esk13_1 : setset, ∀esk24_1 : setset, ∀esk3_1 : setset, ∀esk2_1 : setset, ∀k1_aff_1 : setsetsetset, ∀esk21_3 : setsetsetset, ∀v2_diraf : setprop, ∀esk22_3 : setsetsetset, ∀esk16_4 : setsetsetsetset, ∀esk29_1 : setset, ∀esk26_1 : setset, ∀esk5_1 : setset, ∀esk8_1 : setset, ∀esk17_3 : setsetsetset, ∀esk20_3 : setsetsetset, ∀esk19_3 : setsetsetset, ∀esk18_3 : setsetsetset, ∀esk4_1 : setset, ∀esk7_1 : setset, ∀esk6_1 : setset, ∀esk9_1 : setset, ∀epred1_1 : setprop, ∀r5_aff_1 : setsetsetprop, ∀u1_struct_0 : setset, ∀m1_subset_1 : setsetprop, ∀k1_zfmisc_1 : setset, ∀v1_aff_1 : setsetprop, ∀r2_hidden : setsetprop, ∀r2_analoaf : setsetsetsetsetprop, (∀X3 X5 X8 X6 X10 X9 X7 X1 X2 X4, (X2 = X4False)(X2 = X3False)(r2_analoaf X1 X6 X7 X9 X10False)epred1_1 X1r2_hidden X10 X4r2_hidden X9 X3r2_hidden X8 X2r2_hidden X7 X4r2_hidden X6 X3r2_hidden X5 X2v1_aff_1 X4 X1v1_aff_1 X3 X1v1_aff_1 X2 X1r5_aff_1 X1 X2 X4r5_aff_1 X1 X2 X3m1_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)r2_analoaf X1 X5 X7 X8 X10r2_analoaf X1 X5 X6 X8 X9m1_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)(∀X1 X8 X5 X4 X7 X6 X9 X2 X3, (X2 = X3False)(v7_struct_0 X1False)(r2_analoaf X1 X4 X9 X6 X7False)v1_diraf X1l1_analoaf X1v13_aff_2 X1r2_hidden X9 X3r2_hidden X8 X3r2_hidden X7 X3r2_hidden X6 X2r2_hidden X5 X2r2_hidden X4 X2v1_aff_1 X3 X1v1_aff_1 X2 X1r5_aff_1 X1 X2 X3m1_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 (u1_struct_0 X1)r2_analoaf X1 X5 X9 X6 X8r2_analoaf X1 X4 X8 X5 X7m1_subset_1 X3 (k1_zfmisc_1 (u1_struct_0 X1))m1_subset_1 X2 (k1_zfmisc_1 (u1_struct_0 X1))False)(∀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 X1 X6 X7 X2 X4 X5, (X4 = X5False)(X1 = X3False)(v7_struct_0 X2False)(r3_aff_1 X2 X6 X7False)X7 = (k2_aff_1 X2 X4 X5)X6 = (k2_aff_1 X2 X1 X3)v1_diraf X2l1_analoaf 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 (u1_struct_0 X2)r2_analoaf X2 X1 X3 X4 X5m1_subset_1 X7 (k1_zfmisc_1 (u1_struct_0 X2))m1_subset_1 X6 (k1_zfmisc_1 (u1_struct_0 X2))False)(∀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, (v7_struct_0 X1False)(v13_aff_2 X1False)v1_diraf X1l1_analoaf X1r2_analoaf X1 (esk4_1 X1) (esk9_1 X1) (esk6_1 X1) (esk7_1 X1)False)(∀X1, (epred1_1 X1False)r2_analoaf X1 (esk27_1 X1) (esk28_1 X1) (esk30_1 X1) (esk31_1 X1)False)(∀X2 X3 X1, (v7_struct_0 X1False)(r2_analoaf X1 (esk17_3 X1 X2 X3) (esk18_3 X1 X2 X3) (esk19_3 X1 X2 X3) (esk20_3 X1 X2 X3)False)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)(∀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 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 X5 X2 X6 X7 X1, (v7_struct_0 X1False)(r2_analoaf X1 X2 X3 X4 X5False)v1_diraf X1l1_analoaf X1r2_hidden X5 X7r2_hidden X4 X7r2_hidden X3 X6r2_hidden X2 X6r3_aff_1 X1 X6 X7m1_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)m1_subset_1 X7 (k1_zfmisc_1 (u1_struct_0 X1))m1_subset_1 X6 (k1_zfmisc_1 (u1_struct_0 X1))False)(∀X2 X3 X1, (v7_struct_0 X1False)(r2_analoaf X1 X2 X3 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)(r2_analoaf X1 X2 X3 X3 X2False)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)(v13_aff_2 X1False)(r2_analoaf X1 (esk5_1 X1) (esk9_1 X1) (esk6_1 X1) (esk8_1 X1)False)v1_diraf X1l1_analoaf X1False)(∀X1, (v7_struct_0 X1False)(v13_aff_2 X1False)(r2_analoaf X1 (esk4_1 X1) (esk8_1 X1) (esk5_1 X1) (esk7_1 X1)False)v1_diraf X1l1_analoaf X1False)(∀X1, (epred1_1 X1False)(r2_analoaf X1 (esk26_1 X1) (esk28_1 X1) (esk29_1 X1) (esk31_1 X1)False)False)(∀X1, (epred1_1 X1False)(r2_analoaf X1 (esk26_1 X1) (esk27_1 X1) (esk29_1 X1) (esk30_1 X1)False)False)(∀X4 X2 X3 X1, (v7_struct_0 X1False)(m1_subset_1 (esk16_4 X1 X2 X3 X4) (k1_zfmisc_1 (u1_struct_0 X1))False)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)(∀X4 X2 X3 X1, (v7_struct_0 X1False)(v1_aff_1 (esk16_4 X1 X2 X3 X4) X1False)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)(∀X4 X1 X3 X2, (v7_struct_0 X2False)(r2_hidden X1 (esk16_4 X2 X1 X3 X4)False)v1_diraf X2l1_analoaf X2m1_subset_1 X4 (u1_struct_0 X2)m1_subset_1 X3 (u1_struct_0 X2)m1_subset_1 X1 (u1_struct_0 X2)r1_aff_1 X2 X1 X3 X4False)(∀X4 X1 X3 X2, (v7_struct_0 X2False)(r2_hidden X1 (esk16_4 X2 X3 X1 X4)False)v1_diraf X2l1_analoaf X2m1_subset_1 X4 (u1_struct_0 X2)m1_subset_1 X3 (u1_struct_0 X2)m1_subset_1 X1 (u1_struct_0 X2)r1_aff_1 X2 X3 X1 X4False)(∀X4 X1 X3 X2, (v7_struct_0 X2False)(r2_hidden X1 (esk16_4 X2 X3 X4 X1)False)v1_diraf X2l1_analoaf X2m1_subset_1 X4 (u1_struct_0 X2)m1_subset_1 X3 (u1_struct_0 X2)m1_subset_1 X1 (u1_struct_0 X2)r1_aff_1 X2 X3 X4 X1False)(∀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 X2 X4 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 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)(∀X1 X3 X2, ((k2_aff_1 X2 (esk19_3 X2 X3 X1) (esk20_3 X2 X3 X1)) = X1False)(v7_struct_0 X2False)v1_diraf X2l1_analoaf X2r3_aff_1 X2 X3 X1m1_subset_1 X3 (k1_zfmisc_1 (u1_struct_0 X2))m1_subset_1 X1 (k1_zfmisc_1 (u1_struct_0 X2))False)(∀X1 X3 X2, ((k2_aff_1 X2 (esk17_3 X2 X1 X3) (esk18_3 X2 X1 X3)) = X1False)(v7_struct_0 X2False)v1_diraf X2l1_analoaf X2r3_aff_1 X2 X1 X3m1_subset_1 X3 (k1_zfmisc_1 (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)(esk20_3 X1 X2 X3) = (esk19_3 X1 X2 X3)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)(esk18_3 X1 X2 X3) = (esk17_3 X1 X2 X3)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 X2 X3False)(m1_subset_1 (esk22_3 X1 X2 X3) (u1_struct_0 X1)False)v1_diraf X1v2_diraf X1l1_analoaf X1v1_aff_1 X3 X1v1_aff_1 X2 X1m1_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)(r2_hidden (esk22_3 X1 X2 X3) X2False)v1_diraf X1v2_diraf X1l1_analoaf X1v1_aff_1 X3 X1v1_aff_1 X2 X1m1_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)(r2_hidden (esk22_3 X1 X2 X3) X3False)v1_diraf X1v2_diraf X1l1_analoaf X1v1_aff_1 X3 X1v1_aff_1 X2 X1m1_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)(m1_subset_1 (esk20_3 X1 X2 X3) (u1_struct_0 X1)False)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)(m1_subset_1 (esk19_3 X1 X2 X3) (u1_struct_0 X1)False)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)(m1_subset_1 (esk18_3 X1 X2 X3) (u1_struct_0 X1)False)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)(m1_subset_1 (esk17_3 X1 X2 X3) (u1_struct_0 X1)False)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)(∀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)(r5_aff_1 X1 X2 (esk21_3 X1 X3 X2)False)v1_diraf X1l1_analoaf X1v1_aff_1 X2 X1m1_subset_1 X3 (u1_struct_0 X1)m1_subset_1 X2 (k1_zfmisc_1 (u1_struct_0 X1))False)(∀X3 X2 X1, (v7_struct_0 X1False)(m1_subset_1 (esk21_3 X1 X2 X3) (k1_zfmisc_1 (u1_struct_0 X1))False)v1_diraf X1l1_analoaf X1v1_aff_1 X3 X1m1_subset_1 X2 (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)(∀X3 X1 X2, (v7_struct_0 X2False)(r2_hidden X1 (esk21_3 X2 X1 X3)False)v1_diraf X2l1_analoaf X2v1_aff_1 X3 X2m1_subset_1 X1 (u1_struct_0 X2)m1_subset_1 X3 (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)(∀X1 X3 X2, (v7_struct_0 X2False)(v1_aff_1 X1 X2False)v1_diraf X2l1_analoaf X2r3_aff_1 X2 X1 X3m1_subset_1 X3 (k1_zfmisc_1 (u1_struct_0 X2))m1_subset_1 X1 (k1_zfmisc_1 (u1_struct_0 X2))False)(∀X1 X3 X2, (v7_struct_0 X2False)(v1_aff_1 X1 X2False)v1_diraf X2l1_analoaf X2r3_aff_1 X2 X3 X1m1_subset_1 X3 (k1_zfmisc_1 (u1_struct_0 X2))m1_subset_1 X1 (k1_zfmisc_1 (u1_struct_0 X2))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)(v13_aff_2 X1False)(r5_aff_1 X1 (esk2_1 X1) (esk3_1 X1)False)v1_diraf X1l1_analoaf X1False)(∀X1, (epred1_1 X1False)(r5_aff_1 X1 (esk23_1 X1) (esk25_1 X1)False)False)(∀X1, (epred1_1 X1False)(r5_aff_1 X1 (esk23_1 X1) (esk24_1 X1)False)False)(∀X1, (v7_struct_0 X1False)(v13_aff_2 X1False)(m1_subset_1 (esk3_1 X1) (k1_zfmisc_1 (u1_struct_0 X1))False)v1_diraf X1l1_analoaf X1False)(∀X1, (v7_struct_0 X1False)(v13_aff_2 X1False)(m1_subset_1 (esk2_1 X1) (k1_zfmisc_1 (u1_struct_0 X1))False)v1_diraf X1l1_analoaf X1False)(∀X1, (v2_struct_0 X1False)(m1_subset_1 (esk15_1 X1) (k1_zfmisc_1 (u1_struct_0 X1))False)l1_struct_0 X1False)(∀X1, (v2_struct_0 X1False)(m1_subset_1 (esk13_1 X1) (k1_zfmisc_1 (u1_struct_0 X1))False)l1_struct_0 X1False)(∀X1, (v7_struct_0 X1False)(m1_subset_1 (esk14_1 X1) (k1_zfmisc_1 (u1_struct_0 X1))False)l1_struct_0 X1False)(∀X1, (v7_struct_0 X1False)(v13_aff_2 X1False)(m1_subset_1 (esk9_1 X1) (u1_struct_0 X1)False)v1_diraf X1l1_analoaf X1False)(∀X1, (v7_struct_0 X1False)(v13_aff_2 X1False)(m1_subset_1 (esk8_1 X1) (u1_struct_0 X1)False)v1_diraf X1l1_analoaf X1False)(∀X1, (v7_struct_0 X1False)(v13_aff_2 X1False)(m1_subset_1 (esk7_1 X1) (u1_struct_0 X1)False)v1_diraf X1l1_analoaf X1False)(∀X1, (v7_struct_0 X1False)(v13_aff_2 X1False)(m1_subset_1 (esk6_1 X1) (u1_struct_0 X1)False)v1_diraf X1l1_analoaf X1False)(∀X1, (v7_struct_0 X1False)(v13_aff_2 X1False)(m1_subset_1 (esk5_1 X1) (u1_struct_0 X1)False)v1_diraf X1l1_analoaf X1False)(∀X1, (v7_struct_0 X1False)(v13_aff_2 X1False)(m1_subset_1 (esk4_1 X1) (u1_struct_0 X1)False)v1_diraf X1l1_analoaf X1False)(∀X1, (v7_struct_0 X1False)(v13_aff_2 X1False)(r2_hidden (esk9_1 X1) (esk3_1 X1)False)v1_diraf X1l1_analoaf X1False)(∀X1, (v7_struct_0 X1False)(v13_aff_2 X1False)(r2_hidden (esk8_1 X1) (esk3_1 X1)False)v1_diraf X1l1_analoaf X1False)(∀X1, (v7_struct_0 X1False)(v13_aff_2 X1False)(r2_hidden (esk7_1 X1) (esk3_1 X1)False)v1_diraf X1l1_analoaf X1False)(∀X1, (v7_struct_0 X1False)(v13_aff_2 X1False)(r2_hidden (esk6_1 X1) (esk2_1 X1)False)v1_diraf X1l1_analoaf X1False)(∀X1, (v7_struct_0 X1False)(v13_aff_2 X1False)(r2_hidden (esk5_1 X1) (esk2_1 X1)False)v1_diraf X1l1_analoaf X1False)(∀X1, (v7_struct_0 X1False)(v13_aff_2 X1False)(r2_hidden (esk4_1 X1) (esk2_1 X1)False)v1_diraf X1l1_analoaf X1False)(∀X2 X1, r2_hidden X2 X1r2_hidden X1 X2False)(∀X1, (v7_struct_0 X1False)(v13_aff_2 X1False)(v1_aff_1 (esk3_1 X1) X1False)v1_diraf X1l1_analoaf X1False)(∀X1, (v7_struct_0 X1False)(v13_aff_2 X1False)(v1_aff_1 (esk2_1 X1) X1False)v1_diraf X1l1_analoaf X1False)(∀X1, (epred1_1 X1False)(m1_subset_1 (esk25_1 X1) (k1_zfmisc_1 (u1_struct_0 X1))False)False)(∀X1, (epred1_1 X1False)(m1_subset_1 (esk24_1 X1) (k1_zfmisc_1 (u1_struct_0 X1))False)False)(∀X1, (epred1_1 X1False)(m1_subset_1 (esk23_1 X1) (k1_zfmisc_1 (u1_struct_0 X1))False)False)(∀X1, (v7_struct_0 X1False)(v13_aff_2 X1False)(esk3_1 X1) = (esk2_1 X1)v1_diraf X1l1_analoaf X1False)(∀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, (epred1_1 X1False)(m1_subset_1 (esk31_1 X1) (u1_struct_0 X1)False)False)(∀X1, (epred1_1 X1False)(m1_subset_1 (esk30_1 X1) (u1_struct_0 X1)False)False)(∀X1, (epred1_1 X1False)(m1_subset_1 (esk29_1 X1) (u1_struct_0 X1)False)False)(∀X1, (epred1_1 X1False)(m1_subset_1 (esk28_1 X1) (u1_struct_0 X1)False)False)(∀X1, (epred1_1 X1False)(m1_subset_1 (esk27_1 X1) (u1_struct_0 X1)False)False)(∀X1, (epred1_1 X1False)(m1_subset_1 (esk26_1 X1) (u1_struct_0 X1)False)False)(∀X1, (epred1_1 X1False)(r2_hidden (esk31_1 X1) (esk25_1 X1)False)False)(∀X1, (epred1_1 X1False)(r2_hidden (esk30_1 X1) (esk24_1 X1)False)False)(∀X1, (epred1_1 X1False)(r2_hidden (esk29_1 X1) (esk23_1 X1)False)False)(∀X1, (epred1_1 X1False)(r2_hidden (esk28_1 X1) (esk25_1 X1)False)False)(∀X1, (epred1_1 X1False)(r2_hidden (esk27_1 X1) (esk24_1 X1)False)False)(∀X1, (epred1_1 X1False)(r2_hidden (esk26_1 X1) (esk23_1 X1)False)False)(∀X1, (v7_struct_0 X1False)(epred1_1 X1False)v1_diraf X1l1_analoaf X1v11_aff_2 X1False)(∀X1, (v7_struct_0 X1False)(v11_aff_2 X1False)v1_diraf X1l1_analoaf X1epred1_1 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 (esk15_1 X1)False)(∀X1, (v2_struct_0 X1False)l1_struct_0 X1v1_xboole_0 (esk13_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 (esk14_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, (epred1_1 X1False)(v1_aff_1 (esk25_1 X1) X1False)False)(∀X1, (epred1_1 X1False)(v1_aff_1 (esk24_1 X1) X1False)False)(∀X1, (epred1_1 X1False)(v1_aff_1 (esk23_1 X1) X1False)False)(∀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 (esk13_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, (epred1_1 X1False)(esk25_1 X1) = (esk23_1 X1)False)(∀X1, (epred1_1 X1False)(esk24_1 X1) = (esk23_1 X1)False)(∀X1, (l1_struct_0 X1False)l1_analoaf X1False)(v13_aff_2 esk1_0False)(v7_struct_0 esk1_0False)(∀X1, (m1_subset_1 (esk12_1 X1) X1False)False)((l1_struct_0 esk11_0False)False)((v11_aff_2 esk1_0False)False)((l1_analoaf esk10_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.