Theorem. (t1_axioms)
∀k3_xboole_0 : set → set → set, ∀esk8_3 : set → set → set → set, ∀r1_xxreal_0 : set → set → prop, ∀epred2_2 : set → set → prop, ∀m1_subset_1 : set → set → prop, ∀k2_arytm_2 : set, ∀r1_arytm_2 : set → set → prop, ∀k6_numbers : set, ∀esk29_2 : set → set → set, ∀esk28_2 : set → set → set, ∀esk27_2 : set → set → set, ∀k1_zfmisc_1 : set → set, ∀esk33_2 : set → set → set, ∀a_1_0_axioms : set → set, ∀k1_numbers : set, ∀esk14_2 : set → set → set, ∀k8_subset_1 : set → set → set → set, ∀k1_xboole_0 : set, ∀k4_ordinal1 : set, ∀r1_arytm_3 : set → set → prop, ∀a_0_0_arytm_3 : set, ∀v1_xboole_0 : set → prop, ∀m2_subset_1 : set → set → set → prop, ∀esk10_2 : set → set → set, ∀esk12_1 : set → set, ∀esk11_1 : set → set, ∀esk13_1 : set → set, ∀esk24_2 : set → set → set, ∀v1_xreal_0 : set → prop, ∀esk4_1 : set → set, ∀esk3_1 : set → set, ∀esk2_0 : set, ∀esk1_0 : set, ∀esk23_2 : set → set → set, ∀v1_xxreal_0 : set → prop, ∀v7_ordinal1 : set → prop, ∀v1_ordinal1 : set → prop, ∀v2_ordinal1 : set → prop, ∀v1_xcmplx_0 : set → prop, ∀esk21_0 : set, ∀k12_arytm_3 : set, ∀k5_numbers : set, ∀k5_arytm_3 : set, ∀esk9_1 : set → set, ∀o_0_0_xboole_0 : set, ∀esk19_0 : set, ∀esk15_0 : set, ∀k1_arytm_3 : set, ∀esk16_0 : set, ∀esk20_0 : set, ∀esk18_0 : set, ∀v2_xxreal_0 : set → prop, ∀c1__axioms : set, ∀k6_subset_1 : set → set → set, ∀esk17_0 : set, ∀v1_finset_1 : set → prop, ∀v5_ordinal1 : set → prop, ∀v6_ordinal1 : set → prop, ∀v3_ordinal1 : set → prop, ∀esk6_2 : set → set → set, ∀esk5_2 : set → set → set, ∀r1_xboole_0 : set → set → prop, ∀np__1 : set, ∀a_0_1_arytm_3 : set, ∀esk22_2 : set → set → set, ∀k11_arytm_3 : set, ∀k2_xxreal_0 : set, ∀k1_xxreal_0 : set, ∀esk31_2 : set → set → set, ∀esk30_2 : set → set → set, ∀esk32_2 : set → set → set, ∀epred1_2 : set → set → prop, ∀esk7_3 : set → set → set → set, ∀k2_xboole_0 : set → set → set, ∀k1_tarski : set → set, ∀esk25_4 : set → set → set → set → set, ∀esk26_4 : set → set → set → set → set, ∀k2_tarski : set → set → set, ∀r1_tarski : set → set → prop, ∀k2_zfmisc_1 : set → set → set, ∀r2_hidden : set → set → prop, (∀X3 X4 X1 X2, ((k2_tarski (k2_tarski (esk25_4 X2 X3 X4 X1) (esk26_4 X2 X3 X4 X1)) (k1_tarski (esk25_4 X2 X3 X4 X1))) = X1 → False) → r2_hidden X1 X2 → r1_tarski X2 (k2_zfmisc_1 X3 X4) → False) → (∀X2 X3 X4 X1, (r2_hidden (esk26_4 X1 X2 X3 X4) X3 → False) → r2_hidden X4 X1 → r1_tarski X1 (k2_zfmisc_1 X2 X3) → False) → (∀X2 X3 X4 X1, (r2_hidden (esk25_4 X1 X2 X3 X4) X2 → False) → r2_hidden X4 X1 → r1_tarski X1 (k2_zfmisc_1 X2 X3) → False) → (∀X1 X3 X2, (X3 = (k3_xboole_0 X1 X2) → False) → r2_hidden (esk8_3 X1 X2 X3) X3 → r2_hidden (esk8_3 X1 X2 X3) X2 → r2_hidden (esk8_3 X1 X2 X3) X1 → False) → (∀X1 X3 X2, (X3 = (k2_xboole_0 X1 X2) → False) → r2_hidden (esk7_3 X1 X2 X3) X3 → r2_hidden (esk7_3 X1 X2 X3) X1 → False) → (∀X2 X3 X1, (X3 = (k2_xboole_0 X1 X2) → False) → r2_hidden (esk7_3 X1 X2 X3) X3 → r2_hidden (esk7_3 X1 X2 X3) X2 → False) → (∀X1 X3 X2, (X3 = (k2_xboole_0 X1 X2) → False) → (r2_hidden (esk7_3 X1 X2 X3) X3 → False) → (r2_hidden (esk7_3 X1 X2 X3) X2 → False) → (r2_hidden (esk7_3 X1 X2 X3) X1 → False) → False) → (∀X4 X3 X1 X2, (r1_xxreal_0 X1 X2 → False) → X2 = (k2_tarski (k2_tarski k6_numbers X4) (k1_tarski k6_numbers)) → X1 = (k2_tarski (k2_tarski k6_numbers X3) (k1_tarski k6_numbers)) → r1_arytm_2 X4 X3 → epred2_2 X1 X2 → m1_subset_1 X4 k2_arytm_2 → m1_subset_1 X3 k2_arytm_2 → r2_hidden X2 (k2_zfmisc_1 (k1_tarski k6_numbers) k2_arytm_2) → r2_hidden X1 (k2_zfmisc_1 (k1_tarski k6_numbers) k2_arytm_2) → False) → (∀X2 X1 X3 X4, (r1_xxreal_0 X3 X4 → False) → X4 = (k2_tarski (k2_tarski k6_numbers X2) (k1_tarski k6_numbers)) → X3 = (k2_tarski (k2_tarski k6_numbers X1) (k1_tarski k6_numbers)) → r1_arytm_2 X2 X1 → epred1_2 X4 X3 → m1_subset_1 X2 k2_arytm_2 → m1_subset_1 X1 k2_arytm_2 → r2_hidden X4 (k2_zfmisc_1 (k1_tarski k6_numbers) k2_arytm_2) → r2_hidden X3 (k2_zfmisc_1 (k1_tarski k6_numbers) k2_arytm_2) → False) → (∀X5 X4 X2 X1 X3, (r1_arytm_2 (esk29_2 X1 X2) X3 → False) → r2_hidden X5 X2 → r2_hidden X4 X1 → r2_hidden X3 X2 → m1_subset_1 X5 k2_arytm_2 → m1_subset_1 X4 k2_arytm_2 → m1_subset_1 X3 k2_arytm_2 → m1_subset_1 X2 (k1_zfmisc_1 k2_arytm_2) → m1_subset_1 X1 (k1_zfmisc_1 k2_arytm_2) → r1_arytm_2 (esk27_2 X1 X2) (esk28_2 X1 X2) → False) → (∀X5 X4 X2 X3 X1, (r1_arytm_2 X1 (esk29_2 X2 X3) → False) → r2_hidden X5 X3 → r2_hidden X4 X3 → r2_hidden X1 X2 → m1_subset_1 X5 k2_arytm_2 → m1_subset_1 X4 k2_arytm_2 → m1_subset_1 X1 k2_arytm_2 → m1_subset_1 X3 (k1_zfmisc_1 k2_arytm_2) → m1_subset_1 X2 (k1_zfmisc_1 k2_arytm_2) → r1_arytm_2 (esk27_2 X2 X3) (esk28_2 X2 X3) → False) → (∀X2 X1, ((k2_tarski (k2_tarski k6_numbers (esk33_2 X2 X1)) (k1_tarski k6_numbers)) = X1 → False) → r1_xxreal_0 X2 X1 → epred1_2 X1 X2 → r2_hidden X2 (k2_zfmisc_1 (k1_tarski k6_numbers) k2_arytm_2) → r2_hidden X1 (k2_zfmisc_1 (k1_tarski k6_numbers) k2_arytm_2) → False) → (∀X2 X1, ((k2_tarski (k2_tarski k6_numbers (esk32_2 X1 X2)) (k1_tarski k6_numbers)) = X1 → False) → r1_xxreal_0 X1 X2 → epred1_2 X2 X1 → r2_hidden X2 (k2_zfmisc_1 (k1_tarski k6_numbers) k2_arytm_2) → r2_hidden X1 (k2_zfmisc_1 (k1_tarski k6_numbers) k2_arytm_2) → False) → (∀X3 X4 X5 X1 X2, (r2_hidden (esk28_2 X1 X2) X2 → False) → (r1_arytm_2 (esk29_2 X1 X2) X3 → False) → r2_hidden X5 X2 → r2_hidden X4 X1 → r2_hidden X3 X2 → m1_subset_1 X5 k2_arytm_2 → m1_subset_1 X4 k2_arytm_2 → m1_subset_1 X3 k2_arytm_2 → m1_subset_1 X2 (k1_zfmisc_1 k2_arytm_2) → m1_subset_1 X1 (k1_zfmisc_1 k2_arytm_2) → False) → (∀X3 X4 X5 X2 X1, (r2_hidden (esk27_2 X1 X2) X1 → False) → (r1_arytm_2 (esk29_2 X1 X2) X3 → False) → r2_hidden X5 X2 → r2_hidden X4 X1 → r2_hidden X3 X2 → m1_subset_1 X5 k2_arytm_2 → m1_subset_1 X4 k2_arytm_2 → m1_subset_1 X3 k2_arytm_2 → m1_subset_1 X2 (k1_zfmisc_1 k2_arytm_2) → m1_subset_1 X1 (k1_zfmisc_1 k2_arytm_2) → False) → (∀X4 X5 X2 X3 X1, (r1_arytm_2 X1 (esk29_2 X2 X3) → False) → (r2_hidden (esk28_2 X2 X3) X3 → False) → r2_hidden X5 X3 → r2_hidden X4 X3 → r2_hidden X1 X2 → m1_subset_1 X5 k2_arytm_2 → m1_subset_1 X4 k2_arytm_2 → m1_subset_1 X1 k2_arytm_2 → m1_subset_1 X3 (k1_zfmisc_1 k2_arytm_2) → m1_subset_1 X2 (k1_zfmisc_1 k2_arytm_2) → False) → (∀X4 X5 X2 X3 X1, (r1_arytm_2 X1 (esk29_2 X2 X3) → False) → (r2_hidden (esk27_2 X2 X3) X2 → False) → r2_hidden X5 X3 → r2_hidden X4 X3 → r2_hidden X1 X2 → m1_subset_1 X5 k2_arytm_2 → m1_subset_1 X4 k2_arytm_2 → m1_subset_1 X1 k2_arytm_2 → m1_subset_1 X3 (k1_zfmisc_1 k2_arytm_2) → m1_subset_1 X2 (k1_zfmisc_1 k2_arytm_2) → False) → (∀X4 X5 X2 X1 X3, (r1_arytm_2 (esk29_2 X1 X2) X3 → False) → (m1_subset_1 (esk28_2 X1 X2) k2_arytm_2 → False) → r2_hidden X5 X2 → r2_hidden X4 X1 → r2_hidden X3 X2 → m1_subset_1 X5 k2_arytm_2 → m1_subset_1 X4 k2_arytm_2 → m1_subset_1 X3 k2_arytm_2 → m1_subset_1 X2 (k1_zfmisc_1 k2_arytm_2) → m1_subset_1 X1 (k1_zfmisc_1 k2_arytm_2) → False) → (∀X4 X5 X2 X1 X3, (r1_arytm_2 (esk29_2 X1 X2) X3 → False) → (m1_subset_1 (esk27_2 X1 X2) k2_arytm_2 → False) → r2_hidden X5 X2 → r2_hidden X4 X1 → r2_hidden X3 X2 → m1_subset_1 X5 k2_arytm_2 → m1_subset_1 X4 k2_arytm_2 → m1_subset_1 X3 k2_arytm_2 → m1_subset_1 X2 (k1_zfmisc_1 k2_arytm_2) → m1_subset_1 X1 (k1_zfmisc_1 k2_arytm_2) → False) → (∀X4 X5 X2 X3 X1, (r1_arytm_2 X1 (esk29_2 X2 X3) → False) → (m1_subset_1 (esk28_2 X2 X3) k2_arytm_2 → False) → r2_hidden X5 X3 → r2_hidden X4 X3 → r2_hidden X1 X2 → m1_subset_1 X5 k2_arytm_2 → m1_subset_1 X4 k2_arytm_2 → m1_subset_1 X1 k2_arytm_2 → m1_subset_1 X3 (k1_zfmisc_1 k2_arytm_2) → m1_subset_1 X2 (k1_zfmisc_1 k2_arytm_2) → False) → (∀X4 X5 X2 X3 X1, (r1_arytm_2 X1 (esk29_2 X2 X3) → False) → (m1_subset_1 (esk27_2 X2 X3) k2_arytm_2 → False) → r2_hidden X5 X3 → r2_hidden X4 X3 → r2_hidden X1 X2 → m1_subset_1 X5 k2_arytm_2 → m1_subset_1 X4 k2_arytm_2 → m1_subset_1 X1 k2_arytm_2 → m1_subset_1 X3 (k1_zfmisc_1 k2_arytm_2) → m1_subset_1 X2 (k1_zfmisc_1 k2_arytm_2) → False) → (∀X1 X3 X2, (X3 = (k3_xboole_0 X1 X2) → False) → (r2_hidden (esk8_3 X1 X2 X3) X3 → False) → (r2_hidden (esk8_3 X1 X2 X3) X1 → False) → False) → (∀X2 X3 X1, (X3 = (k3_xboole_0 X1 X2) → False) → (r2_hidden (esk8_3 X1 X2 X3) X3 → False) → (r2_hidden (esk8_3 X1 X2 X3) X2 → False) → False) → (∀X1 X2, (r2_hidden (k2_tarski (k2_tarski k6_numbers (esk14_2 X1 X2)) (k1_tarski k6_numbers)) X2 → False) → r2_hidden X1 (a_1_0_axioms X2) → m1_subset_1 X2 (k1_zfmisc_1 k1_numbers) → False) → (∀X2 X1, (r1_arytm_2 (esk33_2 X1 X2) (esk32_2 X1 X2) → False) → r1_xxreal_0 X1 X2 → epred1_2 X2 X1 → r2_hidden X2 (k2_zfmisc_1 (k1_tarski k6_numbers) k2_arytm_2) → r2_hidden X1 (k2_zfmisc_1 (k1_tarski k6_numbers) k2_arytm_2) → False) → (∀X3 X2 X1, (m1_subset_1 (esk29_2 X1 X2) k2_arytm_2 → False) → r2_hidden X3 X2 → m1_subset_1 X3 k2_arytm_2 → m1_subset_1 X2 (k1_zfmisc_1 k2_arytm_2) → m1_subset_1 X1 (k1_zfmisc_1 k2_arytm_2) → r1_arytm_2 (esk27_2 X1 X2) (esk28_2 X1 X2) → False) → (∀X2 X1, (m1_subset_1 (esk33_2 X1 X2) k2_arytm_2 → False) → r1_xxreal_0 X1 X2 → epred1_2 X2 X1 → r2_hidden X2 (k2_zfmisc_1 (k1_tarski k6_numbers) k2_arytm_2) → r2_hidden X1 (k2_zfmisc_1 (k1_tarski k6_numbers) k2_arytm_2) → False) → (∀X2 X1, (m1_subset_1 (esk32_2 X1 X2) k2_arytm_2 → False) → r1_xxreal_0 X1 X2 → epred1_2 X2 X1 → r2_hidden X2 (k2_zfmisc_1 (k1_tarski k6_numbers) k2_arytm_2) → r2_hidden X1 (k2_zfmisc_1 (k1_tarski k6_numbers) k2_arytm_2) → False) → (∀X3 X4 X1 X2, (r2_hidden X1 X2 → False) → r2_hidden (k2_tarski (k2_tarski X1 X3) (k1_tarski X1)) (k2_zfmisc_1 X2 X4) → False) → (∀X3 X4 X1 X2, (r2_hidden X1 X2 → False) → r2_hidden (k2_tarski (k2_tarski X3 X1) (k1_tarski X3)) (k2_zfmisc_1 X4 X2) → False) → (∀X1 X2 X3, (r2_hidden X2 (a_1_0_axioms X3) → False) → X1 = X2 → m1_subset_1 X1 k2_arytm_2 → m1_subset_1 X3 (k1_zfmisc_1 k1_numbers) → r2_hidden (k2_tarski (k2_tarski k6_numbers X1) (k1_tarski k6_numbers)) X3 → False) → (∀X1 X2, (r1_xxreal_0 X2 X1 → False) → (r2_hidden X2 k2_arytm_2 → False) → (r2_hidden X1 (k2_zfmisc_1 (k1_tarski k6_numbers) k2_arytm_2) → False) → epred1_2 X1 X2 → r2_hidden X1 k2_arytm_2 → r2_hidden X2 (k2_zfmisc_1 (k1_tarski k6_numbers) k2_arytm_2) → False) → (∀X3 X1 X2, (r2_hidden (esk28_2 X1 X2) X2 → False) → (m1_subset_1 (esk29_2 X1 X2) k2_arytm_2 → False) → r2_hidden X3 X2 → m1_subset_1 X3 k2_arytm_2 → m1_subset_1 X2 (k1_zfmisc_1 k2_arytm_2) → m1_subset_1 X1 (k1_zfmisc_1 k2_arytm_2) → False) → (∀X3 X2 X1, (r2_hidden (esk27_2 X1 X2) X1 → False) → (m1_subset_1 (esk29_2 X1 X2) k2_arytm_2 → False) → r2_hidden X3 X2 → m1_subset_1 X3 k2_arytm_2 → m1_subset_1 X2 (k1_zfmisc_1 k2_arytm_2) → m1_subset_1 X1 (k1_zfmisc_1 k2_arytm_2) → False) → (∀X3 X2 X1, (m1_subset_1 (esk28_2 X1 X2) k2_arytm_2 → False) → (m1_subset_1 (esk29_2 X1 X2) k2_arytm_2 → False) → r2_hidden X3 X2 → m1_subset_1 X3 k2_arytm_2 → m1_subset_1 X2 (k1_zfmisc_1 k2_arytm_2) → m1_subset_1 X1 (k1_zfmisc_1 k2_arytm_2) → False) → (∀X3 X2 X1, (m1_subset_1 (esk27_2 X1 X2) k2_arytm_2 → False) → (m1_subset_1 (esk29_2 X1 X2) k2_arytm_2 → False) → r2_hidden X3 X2 → m1_subset_1 X3 k2_arytm_2 → m1_subset_1 X2 (k1_zfmisc_1 k2_arytm_2) → m1_subset_1 X1 (k1_zfmisc_1 k2_arytm_2) → False) → (∀X4 X3 X2 X1, (r2_hidden (k2_tarski (k2_tarski X1 X3) (k1_tarski X1)) (k2_zfmisc_1 X2 X4) → False) → r2_hidden X3 X4 → r2_hidden X1 X2 → False) → (∀X3 X2 X1, (m1_subset_1 (k8_subset_1 X2 X1 X3) (k1_zfmisc_1 X2) → False) → m1_subset_1 X1 (k1_zfmisc_1 X2) → False) → (∀X2 X1, (r1_arytm_2 (esk30_2 X1 X2) (esk31_2 X1 X2) → False) → r1_xxreal_0 X1 X2 → epred1_2 X2 X1 → r2_hidden X2 k2_arytm_2 → r2_hidden X1 k2_arytm_2 → False) → (∀X3 X1 X2, (X2 = k1_xboole_0 → False) → (r2_hidden X3 a_0_0_arytm_3 → False) → X3 = (k2_tarski (k2_tarski X1 X2) (k1_tarski X1)) → r1_arytm_3 X1 X2 → m1_subset_1 X2 k4_ordinal1 → m1_subset_1 X1 k4_ordinal1 → False) → (∀X4 X3 X1 X2, (r1_xxreal_0 X1 X2 → False) → X2 = X4 → X1 = X3 → r1_arytm_2 X3 X4 → epred2_2 X1 X2 → m1_subset_1 X4 k2_arytm_2 → m1_subset_1 X3 k2_arytm_2 → r2_hidden X2 k2_arytm_2 → r2_hidden X1 k2_arytm_2 → False) → (∀X2 X1 X3 X4, (r1_xxreal_0 X3 X4 → False) → X2 = X4 → X1 = X3 → r1_arytm_2 X1 X2 → epred1_2 X4 X3 → m1_subset_1 X2 k2_arytm_2 → m1_subset_1 X1 k2_arytm_2 → r2_hidden X4 k2_arytm_2 → r2_hidden X3 k2_arytm_2 → False) → (∀X1 X2, (X2 = k1_xxreal_0 → False) → (X1 = k2_xxreal_0 → False) → (r2_hidden X1 k2_arytm_2 → False) → (r2_hidden X2 (k2_zfmisc_1 (k1_tarski k6_numbers) k2_arytm_2) → False) → (r2_hidden X1 (k2_zfmisc_1 (k1_tarski k6_numbers) k2_arytm_2) → False) → r1_xxreal_0 X1 X2 → epred1_2 X2 X1 → False) → (∀X1 X2, (X2 = k1_xxreal_0 → False) → (X1 = k2_xxreal_0 → False) → (r2_hidden X2 k2_arytm_2 → False) → (r2_hidden X2 (k2_zfmisc_1 (k1_tarski k6_numbers) k2_arytm_2) → False) → (r2_hidden X1 (k2_zfmisc_1 (k1_tarski k6_numbers) k2_arytm_2) → False) → r1_xxreal_0 X1 X2 → epred1_2 X2 X1 → False) → (∀X3 X4 X1 X2, (X1 = X2 → False) → (k2_tarski (k2_tarski X1 X3) (k1_tarski X1)) = (k2_tarski (k2_tarski X2 X4) (k1_tarski X2)) → False) → (∀X3 X4 X1 X2, (X1 = X2 → False) → (k2_tarski (k2_tarski X3 X1) (k1_tarski X3)) = (k2_tarski (k2_tarski X4 X2) (k1_tarski X4)) → False) → (∀X1, X1 = k11_arytm_3 → r2_hidden (k2_tarski (k2_tarski k11_arytm_3 X1) (k1_tarski k11_arytm_3)) k1_numbers → False) → (∀X1 X3 X2, (v1_xboole_0 X2 → False) → (v1_xboole_0 X1 → False) → (m1_subset_1 X3 X1 → False) → m2_subset_1 X3 X1 X2 → m1_subset_1 X2 (k1_zfmisc_1 X1) → False) → (∀X2 X1 X3, (v1_xboole_0 X3 → False) → (v1_xboole_0 X2 → False) → (m1_subset_1 X1 X3 → False) → m2_subset_1 X1 X2 X3 → m1_subset_1 X3 (k1_zfmisc_1 X2) → False) → (∀X3 X2 X1, ((k8_subset_1 X2 X1 X3) = (k8_subset_1 X2 X3 X1) → False) → m1_subset_1 X1 (k1_zfmisc_1 X2) → False) → (∀X1 X2, (r1_xxreal_0 X2 X1 → False) → epred2_2 X2 X1 → r2_hidden X1 k2_arytm_2 → r2_hidden X2 (k2_zfmisc_1 (k1_tarski k6_numbers) k2_arytm_2) → False) → (∀X2 X1, (m1_subset_1 (esk31_2 X1 X2) k2_arytm_2 → False) → r1_xxreal_0 X1 X2 → epred1_2 X2 X1 → r2_hidden X2 k2_arytm_2 → r2_hidden X1 k2_arytm_2 → False) → (∀X2 X1, (m1_subset_1 (esk30_2 X1 X2) k2_arytm_2 → False) → r1_xxreal_0 X1 X2 → epred1_2 X2 X1 → r2_hidden X2 k2_arytm_2 → r2_hidden X1 k2_arytm_2 → False) → (∀X1 X2, (v1_xboole_0 X2 → False) → (v1_xboole_0 X1 → False) → (m2_subset_1 (esk10_2 X1 X2) X1 X2 → False) → m1_subset_1 X2 (k1_zfmisc_1 X1) → False) → (∀X2 X1 X3, (v1_xboole_0 X3 → False) → (v1_xboole_0 X2 → False) → (m2_subset_1 X1 X3 X2 → False) → m1_subset_1 X1 X2 → m1_subset_1 X2 (k1_zfmisc_1 X3) → False) → (∀X1 X2, (X2 = k2_xxreal_0 → False) → (X1 = k1_xxreal_0 → False) → (r2_hidden X2 k2_arytm_2 → False) → (r2_hidden X1 k2_arytm_2 → False) → (r2_hidden X1 (k2_zfmisc_1 (k1_tarski k6_numbers) k2_arytm_2) → False) → r1_xxreal_0 X2 X1 → epred1_2 X1 X2 → False) → (∀X1 X2, (X2 = k2_xxreal_0 → False) → (X1 = k1_xxreal_0 → False) → (r2_hidden X2 k2_arytm_2 → False) → (r2_hidden X1 k2_arytm_2 → False) → (r2_hidden X2 (k2_zfmisc_1 (k1_tarski k6_numbers) k2_arytm_2) → False) → r1_xxreal_0 X2 X1 → epred1_2 X1 X2 → False) → (∀X1, (X1 = k11_arytm_3 → False) → (r2_hidden (k2_tarski (k2_tarski k11_arytm_3 X1) (k1_tarski k11_arytm_3)) k1_numbers → False) → m1_subset_1 X1 k2_arytm_2 → False) → (∀X1 X3 X2, r2_hidden X3 X2 → r2_hidden X1 X2 → r2_hidden X1 (esk22_2 X3 X2) → False) → (∀X1 X2, (X2 = k2_xxreal_0 → False) → (X1 = k1_xxreal_0 → False) → (r2_hidden X1 k2_arytm_2 → False) → (r2_hidden X1 (k2_zfmisc_1 (k1_tarski k6_numbers) k2_arytm_2) → False) → r1_xxreal_0 X2 X1 → epred1_2 X1 X2 → False) → (∀X1 X2, (X2 = k2_xxreal_0 → False) → (X1 = k1_xxreal_0 → False) → (r2_hidden X1 k2_arytm_2 → False) → (r2_hidden X2 (k2_zfmisc_1 (k1_tarski k6_numbers) k2_arytm_2) → False) → r1_xxreal_0 X2 X1 → epred1_2 X1 X2 → False) → (∀X1 X2, (X2 = k1_xxreal_0 → False) → (X1 = k2_xxreal_0 → False) → (r2_hidden X1 k2_arytm_2 → False) → (r2_hidden X1 (k2_zfmisc_1 (k1_tarski k6_numbers) k2_arytm_2) → False) → r1_xxreal_0 X1 X2 → epred1_2 X2 X1 → False) → (∀X1 X2, (X2 = k1_xxreal_0 → False) → (X1 = k2_xxreal_0 → False) → (r2_hidden X2 k2_arytm_2 → False) → (r2_hidden X1 (k2_zfmisc_1 (k1_tarski k6_numbers) k2_arytm_2) → False) → r1_xxreal_0 X1 X2 → epred1_2 X2 X1 → False) → (∀X1, ((k2_tarski (k2_tarski (esk11_1 X1) (esk12_1 X1)) (k1_tarski (esk11_1 X1))) = X1 → False) → r2_hidden X1 a_0_0_arytm_3 → False) → (∀X1 X2, (r2_hidden X2 a_0_1_arytm_3 → False) → X2 = (k2_tarski (k2_tarski X1 np__1) (k1_tarski X1)) → m1_subset_1 X1 k4_ordinal1 → False) → (∀X2 X1, ((esk31_2 X2 X1) = X1 → False) → r1_xxreal_0 X2 X1 → epred1_2 X1 X2 → r2_hidden X2 k2_arytm_2 → r2_hidden X1 k2_arytm_2 → False) → (∀X2 X1, ((esk30_2 X1 X2) = X1 → False) → r1_xxreal_0 X1 X2 → epred1_2 X2 X1 → r2_hidden X2 k2_arytm_2 → r2_hidden X1 k2_arytm_2 → False) → (∀X3 X2 X1, ((k8_subset_1 X2 X1 X3) = (k3_xboole_0 X1 X3) → False) → m1_subset_1 X1 (k1_zfmisc_1 X2) → False) → (∀X3 X1 X2, (r1_tarski X1 X2 → False) → r1_xboole_0 X1 X3 → r1_tarski X1 (k2_xboole_0 X2 X3) → False) → (∀X1 X2, (m1_subset_1 (esk14_2 X1 X2) k2_arytm_2 → False) → r2_hidden X1 (a_1_0_axioms X2) → m1_subset_1 X2 (k1_zfmisc_1 k1_numbers) → False) → (∀X2 X1, (r1_xxreal_0 X1 X2 → False) → (r2_hidden X1 k2_arytm_2 → False) → (r2_hidden X1 (k2_zfmisc_1 (k1_tarski k6_numbers) k2_arytm_2) → False) → X1 = k2_xxreal_0 → epred1_2 X2 X1 → False) → (∀X2 X1, (r1_xxreal_0 X1 X2 → False) → (r2_hidden X1 k2_arytm_2 → False) → (r2_hidden X2 (k2_zfmisc_1 (k1_tarski k6_numbers) k2_arytm_2) → False) → X1 = k2_xxreal_0 → epred1_2 X2 X1 → False) → (∀X1 X2, (r1_xxreal_0 X1 X2 → False) → (r2_hidden X2 k2_arytm_2 → False) → (r2_hidden X1 (k2_zfmisc_1 (k1_tarski k6_numbers) k2_arytm_2) → False) → X1 = k2_xxreal_0 → epred1_2 X2 X1 → False) → (∀X1 X2, (r1_xxreal_0 X1 X2 → False) → (r2_hidden X2 k2_arytm_2 → False) → (r2_hidden X2 (k2_zfmisc_1 (k1_tarski k6_numbers) k2_arytm_2) → False) → X1 = k2_xxreal_0 → epred1_2 X2 X1 → False) → (∀X2 X1, (r1_xxreal_0 X2 X1 → False) → (r2_hidden X1 k2_arytm_2 → False) → (r2_hidden X1 (k2_zfmisc_1 (k1_tarski k6_numbers) k2_arytm_2) → False) → X1 = k1_xxreal_0 → epred1_2 X1 X2 → False) → (∀X2 X1, (r1_xxreal_0 X2 X1 → False) → (r2_hidden X1 k2_arytm_2 → False) → (r2_hidden X2 (k2_zfmisc_1 (k1_tarski k6_numbers) k2_arytm_2) → False) → X1 = k1_xxreal_0 → epred1_2 X1 X2 → False) → (∀X1 X2, (r1_xxreal_0 X2 X1 → False) → (r2_hidden X2 k2_arytm_2 → False) → (r2_hidden X1 (k2_zfmisc_1 (k1_tarski k6_numbers) k2_arytm_2) → False) → X1 = k1_xxreal_0 → epred1_2 X1 X2 → False) → (∀X1 X2, (r1_xxreal_0 X2 X1 → False) → (r2_hidden X2 k2_arytm_2 → False) → (r2_hidden X2 (k2_zfmisc_1 (k1_tarski k6_numbers) k2_arytm_2) → False) → X1 = k1_xxreal_0 → epred1_2 X1 X2 → False) → (∀X2 X1, (X2 = (k1_tarski X1) → False) → (esk5_2 X1 X2) = X1 → r2_hidden (esk5_2 X1 X2) X2 → False) → (∀X1, ((k2_tarski (k2_tarski (esk13_1 X1) np__1) (k1_tarski (esk13_1 X1))) = X1 → False) → r2_hidden X1 a_0_1_arytm_3 → False) → (∀X2 X1, ((k8_subset_1 X2 X1 X1) = X1 → False) → m1_subset_1 X1 (k1_zfmisc_1 X2) → False) → (∀X2 X3 X1 X4, (r2_hidden X1 X4 → False) → X4 = (k3_xboole_0 X2 X3) → r2_hidden X1 X3 → r2_hidden X1 X2 → False) → (∀X2 X1, (r1_tarski X1 X2 → False) → r2_hidden (esk6_2 X1 X2) X2 → False) → (∀X3 X2 X1 X4, (r2_hidden X1 X4 → False) → (r2_hidden X1 X3 → False) → X2 = (k2_xboole_0 X3 X4) → r2_hidden X1 X2 → False) → (∀X1 X2, ((esk14_2 X1 X2) = X1 → False) → r2_hidden X1 (a_1_0_axioms X2) → m1_subset_1 X2 (k1_zfmisc_1 k1_numbers) → False) → (∀X1 X2, (X2 = k1_xboole_0 → False) → (r2_hidden (esk24_2 X1 X2) X2 → False) → m1_subset_1 X2 (k1_zfmisc_1 X1) → False) → (∀X1 X2, (X2 = k1_xboole_0 → False) → (m1_subset_1 (esk24_2 X1 X2) X1 → False) → m1_subset_1 X2 (k1_zfmisc_1 X1) → False) → (∀X1, v1_xreal_0 X1 → r1_xxreal_0 X1 (esk4_1 X1) → r1_xxreal_0 (esk3_1 X1) X1 → False) → (∀X2 X1, (r1_arytm_2 X2 X1 → False) → (r1_arytm_2 X1 X2 → False) → m1_subset_1 X2 k2_arytm_2 → m1_subset_1 X1 k2_arytm_2 → False) → (∀X1 X2, (r1_xxreal_0 X1 X2 → False) → v1_xreal_0 X2 → v1_xreal_0 X1 → r2_hidden X2 esk2_0 → r2_hidden X1 esk1_0 → False) → (∀X2 X1 X3, (m1_subset_1 X1 X3 → False) → r2_hidden X1 X2 → m1_subset_1 X2 (k1_zfmisc_1 X3) → False) → (∀X2 X1 X3, r2_hidden X1 X3 → r2_hidden X1 X2 → r1_xboole_0 X2 X3 → False) → (∀X2 X1, (X1 = k11_arytm_3 → False) → X2 = k11_arytm_3 → r1_arytm_2 X1 X2 → m1_subset_1 X2 k2_arytm_2 → m1_subset_1 X1 k2_arytm_2 → False) → (∀X2 X1, (r2_hidden (esk22_2 X1 X2) X2 → False) → r2_hidden X1 X2 → False) → (∀X2 X1 X3, v1_xboole_0 X3 → r2_hidden X1 X2 → m1_subset_1 X2 (k1_zfmisc_1 X3) → False) → (∀X3 X4 X1 X2, (r2_hidden X1 X2 → False) → X3 = (k3_xboole_0 X2 X4) → r2_hidden X1 X3 → False) → (∀X3 X4 X1 X2, (r2_hidden X1 X2 → False) → X3 = (k3_xboole_0 X4 X2) → r2_hidden X1 X3 → False) → (∀X2 X4 X1 X3, (r2_hidden X1 X3 → False) → X3 = (k2_xboole_0 X2 X4) → r2_hidden X1 X2 → False) → (∀X2 X4 X1 X3, (r2_hidden X1 X3 → False) → X3 = (k2_xboole_0 X4 X2) → r2_hidden X1 X2 → False) → (∀X2 X1, (X2 = (k1_tarski X1) → False) → ((esk5_2 X1 X2) = X1 → False) → (r2_hidden (esk5_2 X1 X2) X2 → False) → False) → (∀X2 X1 X3, (r1_tarski X1 X3 → False) → r1_tarski X2 X3 → r1_tarski X1 X2 → False) → (∀X1 X3 X2, (r2_hidden X3 X2 → False) → r2_hidden X3 X1 → r1_tarski X1 X2 → False) → (∀X2 X1, (r1_arytm_2 X1 X2 → False) → X1 = k11_arytm_3 → m1_subset_1 X2 k2_arytm_2 → m1_subset_1 X1 k2_arytm_2 → False) → (∀X1 X2, (r1_xboole_0 X1 X2 → False) → (r2_hidden (esk23_2 X1 X2) X1 → False) → False) → (∀X2 X1, (r1_xboole_0 X1 X2 → False) → (r2_hidden (esk23_2 X1 X2) X2 → False) → False) → (∀X1 X2, (r1_tarski X1 X2 → False) → (r2_hidden (esk6_2 X1 X2) X1 → False) → False) → (∀X1 X2, (r1_arytm_3 X2 X1 → False) → v3_ordinal1 X2 → v3_ordinal1 X1 → r1_arytm_3 X1 X2 → False) → (∀X1, (r1_arytm_3 (esk11_1 X1) (esk12_1 X1) → False) → r2_hidden X1 a_0_0_arytm_3 → False) → (∀X2 X1, (r1_tarski X1 X2 → False) → m1_subset_1 X1 (k1_zfmisc_1 X2) → False) → (∀X2 X1, r2_hidden X2 X1 → r2_hidden X1 X2 → False) → (∀X1 X2, (v6_ordinal1 X2 → False) → v6_ordinal1 X1 → m1_subset_1 X2 (k1_zfmisc_1 X1) → False) → (∀X2 X1, (r1_xxreal_0 X2 X1 → False) → (r1_xxreal_0 X1 X2 → False) → v1_xxreal_0 X2 → v1_xxreal_0 X1 → False) → (∀X2 X1, (m1_subset_1 X1 (k1_zfmisc_1 X2) → False) → r1_tarski X1 X2 → False) → (∀X1 X2, (v1_xboole_0 X2 → False) → (r2_hidden X1 X2 → False) → m1_subset_1 X1 X2 → False) → (∀X1, (m1_subset_1 (esk13_1 X1) k4_ordinal1 → False) → r2_hidden X1 a_0_1_arytm_3 → False) → (∀X1, (m1_subset_1 (esk12_1 X1) k4_ordinal1 → False) → r2_hidden X1 a_0_0_arytm_3 → False) → (∀X1, (m1_subset_1 (esk11_1 X1) k4_ordinal1 → False) → r2_hidden X1 a_0_0_arytm_3 → False) → (∀X2 X1, (r1_xboole_0 X2 X1 → False) → r1_xboole_0 X1 X2 → False) → (∀X2 X1, (m1_subset_1 X1 X2 → False) → r2_hidden X1 X2 → False) → (∀X1 X2, (v3_ordinal1 X2 → False) → v3_ordinal1 X1 → m1_subset_1 X2 X1 → False) → (∀X2 X1 X3, (X1 = X3 → False) → X2 = (k1_tarski X3) → r2_hidden X1 X2 → False) → (∀X1 X2, v1_xboole_0 X2 → r2_hidden X1 X2 → False) → (∀X2 X1, (epred2_2 X1 X2 → False) → v1_xreal_0 X2 → v1_xreal_0 X1 → False) → (∀X2 X1, (epred1_2 X2 X1 → False) → v1_xxreal_0 X2 → v1_xxreal_0 X1 → False) → (∀X2 X1, (r1_xxreal_0 X1 X1 → False) → v1_xxreal_0 X2 → v1_xxreal_0 X1 → False) → (∀X1, (esk12_1 X1) = k1_xboole_0 → r2_hidden X1 a_0_0_arytm_3 → False) → (∀X2 X1 X3, (r2_hidden X1 X3 → False) → X1 = X2 → X3 = (k1_tarski X2) → False) → (∀X1, (r2_hidden (esk4_1 X1) esk2_0 → False) → v1_xreal_0 X1 → False) → (∀X1, (r2_hidden (esk3_1 X1) esk1_0 → False) → v1_xreal_0 X1 → False) → (∀X1, (v7_ordinal1 X1 → False) → m1_subset_1 X1 k4_ordinal1 → False) → (∀X1, (v1_xreal_0 X1 → False) → m1_subset_1 X1 k1_numbers → False) → (∀X1, (v3_ordinal1 X1 → False) → v1_ordinal1 X1 → v2_ordinal1 X1 → False) → (∀X1, (v1_xreal_0 (esk4_1 X1) → False) → v1_xreal_0 X1 → False) → (∀X1, (v1_xreal_0 (esk3_1 X1) → False) → v1_xreal_0 X1 → False) → (∀X2 X1, (X1 = X2 → False) → v1_xboole_0 X2 → v1_xboole_0 X1 → False) → (∀X1, (v1_xxreal_0 X1 → False) → v1_xreal_0 X1 → False) → (∀X1, (v5_ordinal1 X1 → False) → v1_xboole_0 X1 → False) → (∀X1, (v1_xcmplx_0 X1 → False) → v1_xreal_0 X1 → False) → (∀X1, (v7_ordinal1 X1 → False) → v1_xboole_0 X1 → False) → (∀X1, (v2_ordinal1 X1 → False) → v3_ordinal1 X1 → False) → (∀X1, (v1_ordinal1 X1 → False) → v3_ordinal1 X1 → False) → (∀X1, (v3_ordinal1 X1 → False) → v1_xboole_0 X1 → False) → (∀X1, (v3_ordinal1 X1 → False) → v7_ordinal1 X1 → False) → (∀X1, (v6_ordinal1 X1 → False) → v1_xboole_0 X1 → False) → (∀X1, (v1_xreal_0 X1 → False) → v7_ordinal1 X1 → False) → (∀X1, (X1 = k1_xboole_0 → False) → v1_xboole_0 X1 → False) → (v1_finset_1 k1_numbers → False) → (v1_xboole_0 esk21_0 → False) → (v1_xboole_0 esk17_0 → False) → (v1_xboole_0 k12_arytm_3 → False) → (v1_xboole_0 np__1 → False) → (v1_xboole_0 k2_arytm_2 → False) → (v1_xboole_0 k4_ordinal1 → False) → (v1_xboole_0 k1_numbers → False) → (v1_xreal_0 k2_xxreal_0 → False) → (v1_xreal_0 k1_xxreal_0 → False) → (((k6_subset_1 (k2_xboole_0 k2_arytm_2 (k2_zfmisc_1 (k1_tarski k1_xboole_0) k2_arytm_2)) (k1_tarski (k2_tarski (k2_tarski k1_xboole_0 k1_xboole_0) (k1_tarski k1_xboole_0)))) = k1_numbers → False) → False) → ((m2_subset_1 k6_numbers k1_numbers k5_numbers → False) → False) → ((m2_subset_1 np__1 k1_numbers k5_numbers → False) → False) → (∀X1 X2, (m1_subset_1 (k6_subset_1 X1 X2) (k1_zfmisc_1 X1) → False) → False) → ((r1_xboole_0 k2_arytm_2 (k2_zfmisc_1 (k1_tarski k11_arytm_3) k2_arytm_2) → False) → False) → (∀X1 X2, (r1_tarski (k3_xboole_0 X1 X2) X1 → False) → False) → (((k2_tarski (k2_tarski k6_numbers k1_numbers) (k1_tarski k6_numbers)) = k2_xxreal_0 → False) → False) → (((k2_xboole_0 (k6_subset_1 a_0_0_arytm_3 a_0_1_arytm_3) k4_ordinal1) = k5_arytm_3 → False) → False) → (∀X2 X1, ((k3_xboole_0 X1 X2) = (k3_xboole_0 X2 X1) → False) → False) → (∀X2 X1, ((k2_xboole_0 X1 X2) = (k2_xboole_0 X2 X1) → False) → False) → (∀X2 X1, ((k2_tarski X1 X2) = (k2_tarski X2 X1) → False) → False) → (∀X1, (m1_subset_1 (esk9_1 X1) X1 → False) → False) → ((r2_hidden k1_xboole_0 (k1_tarski k1_xboole_0) → False) → False) → ((m1_subset_1 esk2_0 (k1_zfmisc_1 k1_numbers) → False) → False) → ((m1_subset_1 esk1_0 (k1_zfmisc_1 k1_numbers) → False) → False) → ((m1_subset_1 k5_numbers (k1_zfmisc_1 k1_numbers) → False) → False) → (∀X1, ((k3_xboole_0 X1 X1) = X1 → False) → False) → (∀X1, ((k2_xboole_0 X1 X1) = X1 → False) → False) → (∀X1, (r1_tarski X1 X1 → False) → False) → (∀X1, ((k6_subset_1 X1 k1_xboole_0) = X1 → False) → False) → (∀X1, ((k2_xboole_0 X1 k1_xboole_0) = X1 → False) → False) → (∀X1, ((k6_subset_1 k1_xboole_0 X1) = k1_xboole_0 → False) → False) → (∀X1, ((k3_xboole_0 X1 k1_xboole_0) = k1_xboole_0 → False) → False) → ((r1_tarski k2_arytm_2 k1_numbers → False) → False) → ((r2_hidden k12_arytm_3 k2_arytm_2 → False) → False) → ((r2_hidden k11_arytm_3 k2_arytm_2 → False) → False) → ((m1_subset_1 k12_arytm_3 k5_arytm_3 → False) → False) → ((m1_subset_1 k11_arytm_3 k5_arytm_3 → False) → False) → ((m1_subset_1 c1__axioms k2_arytm_2 → False) → False) → ((m1_subset_1 k1_xboole_0 k4_ordinal1 → False) → False) → ((m1_subset_1 np__1 k5_numbers → False) → False) → ((m1_subset_1 np__1 k1_numbers → False) → False) → ((v2_xxreal_0 esk18_0 → False) → False) → ((v2_xxreal_0 np__1 → False) → False) → ((v1_xxreal_0 esk20_0 → False) → False) → ((v1_xxreal_0 esk18_0 → False) → False) → ((v1_xcmplx_0 esk20_0 → False) → False) → ((v1_xcmplx_0 esk18_0 → False) → False) → ((v1_xboole_0 esk20_0 → False) → False) → ((v1_xboole_0 o_0_0_xboole_0 → False) → False) → ((v7_ordinal1 esk21_0 → False) → False) → ((v7_ordinal1 esk19_0 → False) → False) → ((v2_ordinal1 esk17_0 → False) → False) → ((v1_ordinal1 esk17_0 → False) → False) → ((v3_ordinal1 esk17_0 → False) → False) → ((v3_ordinal1 esk15_0 → False) → False) → ((v3_ordinal1 k12_arytm_3 → False) → False) → ((v3_ordinal1 k4_ordinal1 → False) → False) → ((v1_xreal_0 esk20_0 → False) → False) → ((v1_xreal_0 esk18_0 → False) → False) → ((v1_xreal_0 esk16_0 → False) → False) → ((k4_ordinal1 = k5_numbers → False) → False) → ((k12_arytm_3 = k1_arytm_3 → False) → False) → ((k11_arytm_3 = k1_xboole_0 → False) → False) → ((c1__axioms = k6_numbers → False) → False) → ((k6_numbers = k1_xboole_0 → False) → False) → ((k1_numbers = k1_xxreal_0 → False) → False) → ((k1_xboole_0 = o_0_0_xboole_0 → False) → False) → ((np__1 = k1_arytm_3 → False) → False) → False
In Proofgold the corresponding term root is c37f5b... and proposition id is 7b0a17...
Proof:
The rest of the proof is missing.