Theorem. (t15_conmetr)
∀epred1_5 : setsetsetsetsetprop, ∀esk16_5 : setsetsetsetsetset, ∀esk17_5 : setsetsetsetsetset, ∀k1_zfmisc_1 : setset, ∀r10_analmetr : setsetsetprop, ∀r1_aff_1 : setsetsetsetprop, ∀r5_analmetr : setsetsetsetprop, ∀esk3_1 : setset, ∀esk4_1 : setset, ∀esk5_1 : setset, ∀esk2_1 : setset, ∀v1_conmetr : setprop, ∀r6_analmetr : setsetsetsetprop, ∀v4_analmetr : setsetprop, ∀g1_analoaf : setsetset, ∀v1_analoaf : setprop, ∀r7_analmetr : setsetsetprop, ∀v2_diraf : setprop, ∀l1_struct_0 : setprop, ∀esk1_0 : set, ∀esk11_0 : set, ∀esk10_0 : set, ∀esk12_0 : set, ∀esk13_1 : setset, ∀esk14_0 : set, ∀r1_tarski : setsetprop, ∀k2_zfmisc_1 : setsetset, ∀u1_analoaf : setset, ∀v1_aff_1 : setsetprop, ∀r3_aff_1 : setsetsetprop, ∀esk6_4 : setsetsetsetset, ∀v1_diraf : setprop, ∀l1_analoaf : setprop, ∀v7_struct_0 : setprop, ∀k3_analmetr : setset, ∀v3_conaffm : setprop, ∀esk9_1 : setset, ∀esk7_1 : setset, ∀esk8_1 : setset, ∀v3_analmetr : setprop, ∀esk19_5 : setsetsetsetsetset, ∀esk15_5 : setsetsetsetsetset, ∀esk18_5 : setsetsetsetsetset, ∀r2_hidden : setsetprop, ∀v2_analmetr : setprop, ∀u1_struct_0 : setset, ∀m1_subset_1 : setsetprop, ∀l1_analmetr : setprop, ∀v2_struct_0 : setprop, ∀r4_analmetr : setsetsetsetsetprop, ∀epred2_7 : setsetsetsetsetsetsetprop, ∀r2_analoaf : setsetsetsetsetprop, (∀X1 X5 X6 X7 X4 X2 X3, (X2 = X3False)(r4_analmetr X1 X4 X5 X6 X7False)r2_analoaf X1 X2 X3 X4 X5r4_analmetr X1 X2 X3 X6 X7epred2_7 X1 X2 X4 X5 X6 X7 X3False)(∀X1 X5 X6 X7 X4 X2 X3, (X2 = X3False)(r4_analmetr X1 X4 X5 X6 X7False)r2_analoaf X1 X2 X3 X4 X5r4_analmetr X1 X6 X7 X2 X3epred2_7 X1 X2 X4 X5 X6 X7 X3False)(∀X1 X7 X4 X5 X6 X2 X3, (X2 = X3False)(r4_analmetr X1 X6 X7 X4 X5False)r2_analoaf X1 X2 X3 X4 X5r4_analmetr X1 X2 X3 X6 X7epred2_7 X1 X2 X6 X7 X4 X5 X3False)(∀X1 X7 X4 X5 X6 X2 X3, (X2 = X3False)(r4_analmetr X1 X6 X7 X4 X5False)r2_analoaf X1 X2 X3 X4 X5r4_analmetr X1 X6 X7 X2 X3epred2_7 X1 X2 X6 X7 X4 X5 X3False)(∀X1 X3 X6 X7 X2 X4 X5, (X4 = X5False)(r4_analmetr X1 X2 X3 X6 X7False)r2_analoaf X1 X2 X3 X4 X5r4_analmetr X1 X4 X5 X6 X7epred2_7 X1 X4 X2 X3 X6 X7 X5False)(∀X1 X3 X6 X7 X2 X4 X5, (X4 = X5False)(r4_analmetr X1 X2 X3 X6 X7False)r2_analoaf X1 X2 X3 X4 X5r4_analmetr X1 X6 X7 X4 X5epred2_7 X1 X4 X2 X3 X6 X7 X5False)(∀X1 X7 X2 X3 X6 X4 X5, (X4 = X5False)(r4_analmetr X1 X6 X7 X2 X3False)r2_analoaf X1 X2 X3 X4 X5r4_analmetr X1 X4 X5 X6 X7epred2_7 X1 X4 X6 X7 X2 X3 X5False)(∀X1 X7 X2 X3 X6 X4 X5, (X4 = X5False)(r4_analmetr X1 X6 X7 X2 X3False)r2_analoaf X1 X2 X3 X4 X5r4_analmetr X1 X6 X7 X4 X5epred2_7 X1 X4 X6 X7 X2 X3 X5False)(∀X7 X5 X2 X3 X4 X6 X1, (v2_struct_0 X1False)(epred2_7 X1 X2 X4 X5 X6 X7 X3False)l1_analmetr X1v2_analmetr 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)False)(∀X1 X4 X3 X5 X2, (epred1_5 X1 X5 X2 X4 X3False)r2_analoaf X1 X2 (esk16_5 X3 X4 X2 X5 X1) X4 (esk17_5 X3 X4 X2 X5 X1)False)(∀X2 X5 X4 X3 X1, (epred1_5 X5 X4 X3 X2 X1False)r2_hidden (esk16_5 X1 X2 X3 X4 X5) (esk18_5 X1 X2 X3 X4 X5)False)(∀X7 X5 X3 X10 X1 X9 X4 X6 X2 X8, (X2 = X8False)(X2 = X7False)(X2 = X6False)(X2 = X5False)(X2 = X4False)(X2 = X3False)(r2_hidden X7 X9False)(r2_hidden X5 X10False)(r2_analoaf X1 X3 X7 X4 X8False)r2_hidden X8 X10r2_hidden X7 X10r2_hidden X6 X10r2_hidden X5 X9r2_hidden X4 X9r2_hidden X3 X9r2_hidden X2 X10r2_hidden X2 X9r10_analmetr X1 X9 X10m1_subset_1 X8 (u1_struct_0 X1)m1_subset_1 X7 (u1_struct_0 X1)m1_subset_1 X6 (u1_struct_0 X1)r2_analoaf X1 X5 X8 X3 X6r2_analoaf X1 X5 X7 X4 X6epred1_5 X1 X2 X3 X4 X5m1_subset_1 X10 (k1_zfmisc_1 (u1_struct_0 X1))m1_subset_1 X9 (k1_zfmisc_1 (u1_struct_0 X1))False)(∀X1 X4 X5 X3 X2, (epred1_5 X1 X5 X4 X3 X2False)(r2_analoaf X1 X2 (esk17_5 X2 X3 X4 X5 X1) X4 (esk15_5 X2 X3 X4 X5 X1)False)False)(∀X1 X3 X4 X5 X2, (epred1_5 X1 X5 X4 X3 X2False)(r2_analoaf X1 X2 (esk16_5 X2 X3 X4 X5 X1) X3 (esk15_5 X2 X3 X4 X5 X1)False)False)(∀X1 X2 X4 X5 X3, (epred1_5 X1 X5 X4 X3 X2False)(r10_analmetr X1 (esk18_5 X2 X3 X4 X5 X1) (esk19_5 X2 X3 X4 X5 X1)False)False)(∀X2 X5 X4 X3 X1, (epred1_5 X5 X4 X3 X2 X1False)(r2_hidden (esk17_5 X1 X2 X3 X4 X5) (esk19_5 X1 X2 X3 X4 X5)False)False)(∀X2 X5 X4 X3 X1, (epred1_5 X5 X4 X3 X2 X1False)(r2_hidden (esk16_5 X1 X2 X3 X4 X5) (esk19_5 X1 X2 X3 X4 X5)False)False)(∀X2 X5 X4 X3 X1, (epred1_5 X5 X4 X3 X2 X1False)(r2_hidden (esk15_5 X1 X2 X3 X4 X5) (esk19_5 X1 X2 X3 X4 X5)False)False)(∀X1 X2, (v2_struct_0 X2False)(v3_conaffm X2False)v3_analmetr X2l1_analmetr X2m1_subset_1 X1 (u1_struct_0 X2)r4_analmetr X2 X1 (esk7_1 X2) (esk8_1 X2) (esk9_1 X2)r4_analmetr X2 X1 (esk8_1 X2) (esk7_1 X2) (esk9_1 X2)r4_analmetr X2 X1 (esk9_1 X2) (esk7_1 X2) (esk8_1 X2)False)(∀X1 X4 X7 X6 X5 X2 X3, (X2 = X3False)(v2_struct_0 X1False)(r2_analoaf X1 X4 X5 X6 X7False)l1_analmetr X1v2_analmetr 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)(v2_struct_0 X1False)(r2_analoaf X1 X4 X5 X6 X7False)l1_analmetr X1v2_analmetr 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 X4 X7 X6 X5 X2 X3, (X2 = X3False)(v2_struct_0 X1False)(r2_analoaf X1 X4 X5 X6 X7False)v3_analmetr X1l1_analmetr 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)r4_analmetr X1 X2 X3 X6 X7r4_analmetr X1 X2 X3 X4 X5False)(∀X1 X4 X7 X6 X5 X2 X3, (X2 = X3False)(v2_struct_0 X1False)(r2_analoaf X1 X4 X5 X6 X7False)v3_analmetr X1l1_analmetr 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)r4_analmetr X1 X6 X7 X2 X3r4_analmetr X1 X2 X3 X4 X5False)(∀X1 X2 X7 X6 X3 X4 X5, (X4 = X5False)(v2_struct_0 X1False)(r2_analoaf X1 X2 X3 X6 X7False)l1_analmetr X1v2_analmetr 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)(v2_struct_0 X1False)(r2_analoaf X1 X2 X3 X6 X7False)l1_analmetr X1v2_analmetr 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)(∀X1 X2 X7 X6 X3 X4 X5, (X4 = X5False)(v2_struct_0 X1False)(r2_analoaf X1 X2 X3 X6 X7False)v3_analmetr X1l1_analmetr 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)r4_analmetr X1 X4 X5 X6 X7r4_analmetr X1 X2 X3 X4 X5False)(∀X1 X2 X7 X6 X3 X4 X5, (X4 = X5False)(v2_struct_0 X1False)(r2_analoaf X1 X2 X3 X6 X7False)v3_analmetr X1l1_analmetr 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)r4_analmetr X1 X6 X7 X4 X5r4_analmetr X1 X2 X3 X4 X5False)(∀X1 X3 X4 X5 X2, (epred1_5 X5 X4 X3 X2 X1False)r2_hidden X1 (esk19_5 X1 X2 X3 X4 X5)False)(∀X5 X2 X4 X3 X1, (epred1_5 X5 X4 X3 X2 X1False)(m1_subset_1 (esk19_5 X1 X2 X3 X4 X5) (k1_zfmisc_1 (u1_struct_0 X5))False)False)(∀X5 X2 X4 X3 X1, (epred1_5 X5 X4 X3 X2 X1False)(m1_subset_1 (esk18_5 X1 X2 X3 X4 X5) (k1_zfmisc_1 (u1_struct_0 X5))False)False)(∀X5 X2 X4 X3 X1, (epred1_5 X5 X4 X3 X2 X1False)(m1_subset_1 (esk17_5 X1 X2 X3 X4 X5) (u1_struct_0 X5)False)False)(∀X5 X2 X4 X3 X1, (epred1_5 X5 X4 X3 X2 X1False)(m1_subset_1 (esk16_5 X1 X2 X3 X4 X5) (u1_struct_0 X5)False)False)(∀X5 X2 X4 X3 X1, (epred1_5 X5 X4 X3 X2 X1False)(m1_subset_1 (esk15_5 X1 X2 X3 X4 X5) (u1_struct_0 X5)False)False)(∀X1 X2 X4 X5 X3, (epred1_5 X5 X1 X4 X3 X2False)(r2_hidden X1 (esk19_5 X2 X3 X4 X1 X5)False)False)(∀X1 X2 X4 X5 X3, (epred1_5 X5 X1 X4 X3 X2False)(r2_hidden X1 (esk18_5 X2 X3 X4 X1 X5)False)False)(∀X1 X2 X4 X5 X3, (epred1_5 X5 X4 X1 X3 X2False)(r2_hidden X1 (esk18_5 X2 X3 X1 X4 X5)False)False)(∀X1 X2 X3 X4 X5, (epred1_5 X5 X4 X3 X1 X2False)(r2_hidden X1 (esk18_5 X2 X1 X3 X4 X5)False)False)(∀X1 X3 X4 X5 X2, (epred1_5 X5 X4 X3 X2 X1False)(r2_hidden X1 (esk18_5 X1 X2 X3 X4 X5)False)False)(∀X7 X8 X9 X6 X4 X2 X3 X5 X1, (v2_struct_0 X1False)(r2_analoaf X1 X6 X7 X8 X9False)X5 = X9X4 = X8X3 = X7X2 = X6l1_analmetr X1m1_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 (k3_analmetr X1))m1_subset_1 X4 (u1_struct_0 (k3_analmetr X1))m1_subset_1 X3 (u1_struct_0 (k3_analmetr X1))m1_subset_1 X2 (u1_struct_0 (k3_analmetr X1))r2_analoaf (k3_analmetr X1) X2 X3 X4 X5False)(∀X7 X8 X9 X6 X4 X2 X3 X5 X1, (v2_struct_0 X1False)(r2_analoaf (k3_analmetr X1) X6 X7 X8 X9False)X5 = X9X4 = X8X3 = X7X2 = X6l1_analmetr 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 X9 (u1_struct_0 (k3_analmetr X1))m1_subset_1 X8 (u1_struct_0 (k3_analmetr X1))m1_subset_1 X7 (u1_struct_0 (k3_analmetr X1))m1_subset_1 X6 (u1_struct_0 (k3_analmetr X1))False)(∀X5 X3 X2 X4 X1, (v7_struct_0 X1False)(r2_analoaf X1 X2 X3 X4 X5False)l1_analoaf X1v1_diraf 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)l1_analoaf X1v1_diraf 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)l1_analoaf X1v1_diraf 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)l1_analoaf X1v1_diraf 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)l1_analoaf X1v1_diraf 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)l1_analoaf X1v1_diraf 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)l1_analoaf X1v1_diraf 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)(∀X5 X3 X2 X4 X1, (v2_struct_0 X1False)(r2_analoaf X1 X2 X3 X4 X5False)l1_analmetr X1v2_analmetr 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, (v2_struct_0 X1False)(r2_analoaf X1 X2 X3 X4 X5False)l1_analmetr X1v2_analmetr 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, (v2_struct_0 X1False)(r2_analoaf X1 X2 X3 X4 X5False)l1_analmetr X1v2_analmetr 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, (v2_struct_0 X1False)(r2_analoaf X1 X2 X3 X4 X5False)l1_analmetr X1v2_analmetr 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, (v2_struct_0 X1False)(r2_analoaf X1 X2 X3 X4 X5False)l1_analmetr X1v2_analmetr 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, (v2_struct_0 X1False)(r2_analoaf X1 X2 X3 X4 X5False)l1_analmetr X1v2_analmetr 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, (v2_struct_0 X1False)(r2_analoaf X1 X2 X3 X4 X5False)l1_analmetr X1v2_analmetr 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)(∀X1 X3 X5 X4 X2, (epred1_5 X5 X1 X4 X3 X2False)(esk17_5 X2 X3 X4 X1 X5) = X1False)(∀X1 X3 X5 X4 X2, (epred1_5 X5 X1 X4 X3 X2False)(esk16_5 X2 X3 X4 X1 X5) = X1False)(∀X1 X3 X5 X4 X2, (epred1_5 X5 X1 X4 X3 X2False)(esk15_5 X2 X3 X4 X1 X5) = X1False)(∀X1 X2 X3 X4 X5, (X4 = X5False)(v7_struct_0 X1False)(r1_aff_1 X1 X2 X3 X4False)l1_analoaf X1v1_diraf 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)r1_aff_1 X1 X2 X4 X5r2_analoaf X1 X3 X4 X3 X5False)(∀X4 X2 X3 X1, (v7_struct_0 X1False)(r1_aff_1 X1 X2 X3 X4False)l1_analoaf X1v1_diraf 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)(∀X3 X2 X4 X1, (v2_struct_0 X1False)(r5_analmetr X1 X2 X3 X4False)l1_analmetr 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)(∀X2 X3 X4 X1, (v2_struct_0 X1False)(r5_analmetr X1 X2 X3 X4False)(r4_analmetr X1 (esk6_4 X1 X2 X3 X4) X2 X3 X4False)v3_analmetr X1l1_analmetr X1v3_conaffm X1m1_subset_1 X4 (u1_struct_0 X1)m1_subset_1 X3 (u1_struct_0 X1)m1_subset_1 X2 (u1_struct_0 X1)False)(∀X2 X3 X4 X1, (v2_struct_0 X1False)(r5_analmetr X1 X2 X3 X4False)(r4_analmetr X1 (esk6_4 X1 X2 X3 X4) X3 X2 X4False)v3_analmetr X1l1_analmetr X1v3_conaffm X1m1_subset_1 X4 (u1_struct_0 X1)m1_subset_1 X3 (u1_struct_0 X1)m1_subset_1 X2 (u1_struct_0 X1)False)(∀X2 X3 X4 X1, (v2_struct_0 X1False)(r5_analmetr X1 X2 X3 X4False)(r4_analmetr X1 (esk6_4 X1 X2 X3 X4) X4 X2 X3False)v3_analmetr X1l1_analmetr X1v3_conaffm X1m1_subset_1 X4 (u1_struct_0 X1)m1_subset_1 X3 (u1_struct_0 X1)m1_subset_1 X2 (u1_struct_0 X1)False)(∀X1, (v2_struct_0 X1False)(v1_conmetr X1False)v3_analmetr X1l1_analmetr X1epred1_5 X1 (esk2_1 X1) (esk3_1 X1) (esk4_1 X1) (esk5_1 X1)False)(∀X4 X2 X3 X1, (v7_struct_0 X1False)(r2_analoaf X1 X2 X3 X2 X4False)l1_analoaf X1v1_diraf 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)(∀X3 X2 X4 X1, (v2_struct_0 X1False)(r2_analoaf X1 X2 X3 X2 X4False)l1_analmetr X1m1_subset_1 X4 (u1_struct_0 X1)m1_subset_1 X3 (u1_struct_0 X1)m1_subset_1 X2 (u1_struct_0 X1)r5_analmetr X1 X2 X3 X4False)(∀X3 X4 X5 X2 X6 X7 X1, (v7_struct_0 X1False)(r2_analoaf X1 X2 X3 X4 X5False)l1_analoaf X1v1_diraf 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)(∀X5 X6 X7 X4 X2 X3 X1, (v2_struct_0 X1False)(r4_analmetr X1 X4 X5 X6 X7False)l1_analmetr X1v2_analmetr X1r2_hidden X7 X3r2_hidden X6 X3r2_hidden X5 X2r2_hidden X4 X2r10_analmetr 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)(∀X4 X3 X2 X5 X1, (v2_struct_0 X1False)(epred1_5 X1 X2 X3 X4 X5False)v3_analmetr X1l1_analmetr X1v1_conmetr 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)False)(∀X2 X3 X1, (v7_struct_0 X1False)(r2_analoaf X1 X2 X3 X2 X3False)l1_analoaf X1v1_diraf 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)l1_analoaf X1v1_diraf X1m1_subset_1 X3 (u1_struct_0 X1)m1_subset_1 X2 (u1_struct_0 X1)False)(∀X3 X4 X5 X2 X1, (epred1_5 X3 X1 X2 X4 X5False)X1 = X2False)(∀X3 X4 X5 X2 X1, (epred1_5 X3 X1 X4 X2 X5False)X1 = X2False)(∀X3 X4 X5 X2 X1, (epred1_5 X3 X1 X4 X5 X2False)X1 = X2False)(∀X7 X6 X5 X3 X2 X4 X1, (v2_struct_0 X1False)(r5_analmetr X1 X5 X6 X7False)X4 = X7X3 = X6X2 = X5l1_analmetr X1v2_analmetr 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 (k3_analmetr X1))m1_subset_1 X3 (u1_struct_0 (k3_analmetr X1))m1_subset_1 X2 (u1_struct_0 (k3_analmetr X1))r1_aff_1 (k3_analmetr X1) X2 X3 X4False)(∀X7 X6 X5 X3 X2 X4 X1, (v2_struct_0 X1False)(r1_aff_1 (k3_analmetr X1) X5 X6 X7False)X4 = X7X3 = X6X2 = X5l1_analmetr X1v2_analmetr X1m1_subset_1 X4 (u1_struct_0 X1)m1_subset_1 X3 (u1_struct_0 X1)m1_subset_1 X2 (u1_struct_0 X1)r5_analmetr X1 X2 X3 X4m1_subset_1 X7 (u1_struct_0 (k3_analmetr X1))m1_subset_1 X6 (u1_struct_0 (k3_analmetr X1))m1_subset_1 X5 (u1_struct_0 (k3_analmetr X1))False)(∀X2 X3 X4 X1, (v2_struct_0 X1False)(r5_analmetr X1 X2 X3 X4False)(m1_subset_1 (esk6_4 X1 X2 X3 X4) (u1_struct_0 X1)False)v3_analmetr X1l1_analmetr X1v3_conaffm X1m1_subset_1 X4 (u1_struct_0 X1)m1_subset_1 X3 (u1_struct_0 X1)m1_subset_1 X2 (u1_struct_0 X1)False)(∀X4 X2 X3 X1, (v7_struct_0 X1False)(r1_aff_1 X1 X2 X3 X4False)l1_analoaf X1v1_diraf 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)l1_analoaf X1v1_diraf 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)l1_analoaf X1v1_diraf 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)l1_analoaf X1v1_diraf 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)l1_analoaf X1v1_diraf 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)l1_analoaf X1v1_diraf 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)(∀X4 X3 X5 X2 X1, (v2_struct_0 X1False)(v4_analmetr X4 X1False)l1_analmetr X1m1_subset_1 X3 (u1_struct_0 X1)m1_subset_1 X2 (u1_struct_0 X1)r6_analmetr X1 X2 X3 X4m1_subset_1 X5 (k1_zfmisc_1 (u1_struct_0 X1))m1_subset_1 X4 (k1_zfmisc_1 (u1_struct_0 X1))False)(∀X1, (m1_subset_1 (u1_analoaf X1) (k1_zfmisc_1 (k2_zfmisc_1 (k2_zfmisc_1 (u1_struct_0 X1) (u1_struct_0 X1)) (k2_zfmisc_1 (u1_struct_0 X1) (u1_struct_0 X1))))False)l1_analoaf X1False)(∀X3 X4 X1 X2, (X1 = X2False)(g1_analoaf X1 X3) = (g1_analoaf X2 X4)m1_subset_1 X3 (k1_zfmisc_1 (k2_zfmisc_1 (k2_zfmisc_1 X1 X1) (k2_zfmisc_1 X1 X1)))False)(∀X3 X4 X1 X2, (X1 = X2False)(g1_analoaf X3 X1) = (g1_analoaf X4 X2)m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 (k2_zfmisc_1 X3 X3) (k2_zfmisc_1 X3 X3)))False)(∀X1 X2, (v1_analoaf (g1_analoaf X1 X2)False)m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 (k2_zfmisc_1 X1 X1) (k2_zfmisc_1 X1 X1)))False)(∀X1 X2, (l1_analoaf (g1_analoaf X1 X2)False)m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 (k2_zfmisc_1 X1 X1) (k2_zfmisc_1 X1 X1)))False)(∀X1, (v2_struct_0 X1False)(v3_conaffm X1False)v3_analmetr X1l1_analmetr X1r5_analmetr X1 (esk7_1 X1) (esk8_1 X1) (esk9_1 X1)False)(∀X2 X3 X1, (v7_struct_0 X1False)(r1_aff_1 X1 X2 X2 X3False)l1_analoaf X1v1_diraf 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)l1_analoaf X1v1_diraf 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)l1_analoaf X1v1_diraf X1m1_subset_1 X3 (u1_struct_0 X1)m1_subset_1 X2 (u1_struct_0 X1)False)(∀X1 X3 X4 X5 X2, (v2_struct_0 X2False)(v4_analmetr X1 X2False)l1_analmetr X2r7_analmetr X2 X1 X3m1_subset_1 X5 (u1_struct_0 X2)m1_subset_1 X4 (u1_struct_0 X2)m1_subset_1 X3 (k1_zfmisc_1 (u1_struct_0 X2))m1_subset_1 X1 (k1_zfmisc_1 (u1_struct_0 X2))False)(∀X1 X3 X4 X5 X2, (v2_struct_0 X2False)(v4_analmetr X1 X2False)l1_analmetr X2r7_analmetr X2 X3 X1m1_subset_1 X5 (u1_struct_0 X2)m1_subset_1 X4 (u1_struct_0 X2)m1_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, (v2_struct_0 X1False)(r7_analmetr X1 X2 X3False)l1_analmetr X1v2_analmetr X1r10_analmetr 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, (v2_struct_0 X1False)(r10_analmetr X1 X2 X3False)l1_analmetr X1v2_analmetr X1r7_analmetr 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, (v2_struct_0 X1False)(r10_analmetr X1 X3 X2False)l1_analmetr X1v2_analmetr X1r10_analmetr 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)(∀X3 X1 X2, (v2_struct_0 X2False)(v4_analmetr X3 X2False)X1 = X3l1_analmetr X2v2_analmetr X2v1_aff_1 X1 (k3_analmetr X2)m1_subset_1 X3 (k1_zfmisc_1 (u1_struct_0 X2))m1_subset_1 X1 (k1_zfmisc_1 (u1_struct_0 (k3_analmetr X2)))False)(∀X2 X3 X1, (v2_struct_0 X1False)l1_analmetr X1v2_analmetr X1r10_analmetr X1 X2 X2m1_subset_1 X3 (k1_zfmisc_1 (u1_struct_0 X1))m1_subset_1 X2 (k1_zfmisc_1 (u1_struct_0 X1))False)(∀X3 X1 X2, (v2_struct_0 X2False)(v1_aff_1 X3 (k3_analmetr X2)False)X1 = X3l1_analmetr X2v2_analmetr X2v4_analmetr X1 X2m1_subset_1 X1 (k1_zfmisc_1 (u1_struct_0 X2))m1_subset_1 X3 (k1_zfmisc_1 (u1_struct_0 (k3_analmetr X2)))False)(∀X2 X1, (v7_struct_0 X1False)(r3_aff_1 X1 X2 X2False)l1_analoaf X1v1_diraf X1v1_aff_1 X2 X1m1_subset_1 X2 (k1_zfmisc_1 (u1_struct_0 X1))False)(∀X1 X2, (v2_struct_0 X2False)(m1_subset_1 X1 (k1_zfmisc_1 (u1_struct_0 X2))False)l1_analmetr X2m1_subset_1 X1 (k1_zfmisc_1 (u1_struct_0 (k3_analmetr X2)))False)(∀X1 X2, (v2_struct_0 X2False)(m1_subset_1 X1 (k1_zfmisc_1 (u1_struct_0 (k3_analmetr X2)))False)l1_analmetr X2m1_subset_1 X1 (k1_zfmisc_1 (u1_struct_0 X2))False)(∀X1 X2, (v2_struct_0 X2False)(m1_subset_1 X1 (u1_struct_0 X2)False)l1_analmetr X2m1_subset_1 X1 (u1_struct_0 (k3_analmetr X2))False)(∀X1 X2, (v2_struct_0 X2False)(m1_subset_1 X1 (u1_struct_0 (k3_analmetr X2))False)l1_analmetr X2m1_subset_1 X1 (u1_struct_0 X2)False)(∀X2 X1 X3, (m1_subset_1 X1 X3False)r2_hidden X1 X2m1_subset_1 X2 (k1_zfmisc_1 X3)False)(∀X1, (v2_struct_0 X1False)(v1_conmetr X1False)(m1_subset_1 (esk5_1 X1) (u1_struct_0 X1)False)v3_analmetr X1l1_analmetr X1False)(∀X1, (v2_struct_0 X1False)(v1_conmetr X1False)(m1_subset_1 (esk4_1 X1) (u1_struct_0 X1)False)v3_analmetr X1l1_analmetr X1False)(∀X1, (v2_struct_0 X1False)(v1_conmetr X1False)(m1_subset_1 (esk3_1 X1) (u1_struct_0 X1)False)v3_analmetr X1l1_analmetr X1False)(∀X1, (v2_struct_0 X1False)(v1_conmetr X1False)(m1_subset_1 (esk2_1 X1) (u1_struct_0 X1)False)v3_analmetr X1l1_analmetr X1False)(∀X1, (v2_struct_0 X1False)(v3_conaffm X1False)(m1_subset_1 (esk9_1 X1) (u1_struct_0 X1)False)v3_analmetr X1l1_analmetr X1False)(∀X1, (v2_struct_0 X1False)(v3_conaffm X1False)(m1_subset_1 (esk8_1 X1) (u1_struct_0 X1)False)v3_analmetr X1l1_analmetr X1False)(∀X1, (v2_struct_0 X1False)(v3_conaffm X1False)(m1_subset_1 (esk7_1 X1) (u1_struct_0 X1)False)v3_analmetr X1l1_analmetr X1False)(∀X2 X1, (r1_tarski X1 X2False)m1_subset_1 X1 (k1_zfmisc_1 X2)False)(∀X2 X1, r2_hidden X2 X1r2_hidden X1 X2False)(∀X2 X1, (m1_subset_1 X1 (k1_zfmisc_1 X2)False)r1_tarski X1 X2False)(∀X1, ((g1_analoaf (u1_struct_0 X1) (u1_analoaf X1)) = X1False)l1_analoaf X1v1_analoaf X1False)(∀X2 X1, (m1_subset_1 X1 X2False)r2_hidden X1 X2False)(∀X1, (v2_struct_0 X1False)l1_analmetr X1v2_analmetr X1v7_struct_0 (k3_analmetr X1)False)(∀X1, (v2_struct_0 X1False)v3_analmetr X1l1_analmetr X1v7_struct_0 (k3_analmetr X1)False)(∀X1, (v2_struct_0 X1False)(v2_diraf (k3_analmetr X1)False)v3_analmetr X1l1_analmetr X1False)(∀X1, (v2_struct_0 X1False)(v1_diraf (k3_analmetr X1)False)l1_analmetr X1v2_analmetr X1False)(∀X1, (v2_struct_0 X1False)(v1_diraf (k3_analmetr X1)False)v3_analmetr X1l1_analmetr X1False)(∀X1, (v2_struct_0 X1False)(v1_analoaf (k3_analmetr X1)False)l1_analmetr X1v2_analmetr X1False)(∀X1, (v2_struct_0 X1False)(v1_analoaf (k3_analmetr X1)False)v3_analmetr X1l1_analmetr X1False)(∀X1, (v2_struct_0 X1False)l1_analmetr X1v2_struct_0 (k3_analmetr X1)False)(∀X1, (v2_struct_0 X1False)(v2_analmetr X1False)v3_analmetr X1l1_analmetr X1False)(∀X1, (v2_struct_0 X1False)(v1_analoaf (k3_analmetr X1)False)l1_analmetr X1False)(∀X1, (v2_struct_0 X1False)(v1_analoaf (k3_analmetr X1)False)l1_analmetr X1False)(∀X1, (v2_struct_0 X1False)(l1_analoaf (k3_analmetr X1)False)l1_analmetr X1False)(∀X1, (l1_struct_0 X1False)l1_analoaf X1False)(∀X1, (l1_analoaf X1False)l1_analmetr X1False)(v1_conmetr esk1_0False)(v2_struct_0 esk14_0False)(v2_struct_0 esk1_0False)(∀X1, (m1_subset_1 (esk13_1 X1) X1False)False)(∀X1, (r1_tarski X1 X1False)False)((l1_struct_0 esk12_0False)False)((l1_analoaf esk11_0False)False)((v3_conaffm esk1_0False)False)((l1_analmetr esk14_0False)False)((l1_analmetr esk10_0False)False)((l1_analmetr esk1_0False)False)((v3_analmetr esk1_0False)False)False
Proof:
The rest of the proof is missing.