Theorem. (
t43_quatern3)
∀v1_xboole_0 : set → prop, ∀m1_subset_1 : set → set → prop, ∀k1_zfmisc_1 : set → set, ∀m2_subset_1 : set → set → set → prop, ∀v1_xcmplx_0 : set → prop, ∀k2_xcmplx_0 : set → set → set, ∀k3_xcmplx_0 : set → set → set, ∀k5_xcmplx_0 : set → set, ∀r2_hidden : set → set → prop, ∀v2_xxreal_0 : set → prop, ∀r1_xxreal_0 : set → set → prop, ∀r1_tarski : set → set → prop, ∀v5_membered : set → prop, ∀v3_membered : set → prop, ∀v1_membered : set → prop, ∀v1_xxreal_0 : set → prop, ∀v1_int_1 : set → prop, ∀k5_numbers : set, ∀k3_quatern2 : set → set, ∀k14_quaterni : set → set, ∀k16_quaterni : set → set, ∀v7_membered : set → prop, ∀np__0 : set, ∀np__2 : set, ∀np__4 : set, ∀esk8_0 : set, ∀esk5_0 : set, ∀k4_ordinal1 : set, ∀esk6_0 : set, ∀esk3_1 : set → set, ∀esk7_0 : set, ∀esk2_0 : set, ∀esk1_0 : set, ∀k1_xboole_0 : set, ∀k15_quaterni : set → set, ∀k13_quaterni : set → set, ∀np__1 : set, ∀k6_square_1 : set → set, ∀v1_rat_1 : set → prop, ∀v7_ordinal1 : set → prop, ∀k3_square_1 : set → set, ∀k6_numbers : set, ∀v6_membered : set → prop, ∀v2_membered : set → prop, ∀v4_membered : set → prop, ∀k6_xcmplx_0 : set → set → set, ∀k9_real_1 : set → set → set, ∀k8_real_1 : set → set → set, ∀k1_numbers : set, ∀v1_xreal_0 : set → prop, ∀k4_xcmplx_0 : set → set, ∀k7_xcmplx_0 : set → set → set, ∀esk4_2 : set → set → set, ∀k32_quaterni : set → set, ∀k5_square_1 : set → set, ∀k20_quaterni : set → set, ∀k19_quaterni : set → set, ∀k18_quaterni : set → set, ∀k17_quaterni : set → set, ∀k7_real_1 : set → set → set, ∀k7_square_1 : set → set, ∀v1_quaterni : set → prop, (∀X1, ((k7_square_1 (k7_real_1 (k7_real_1 (k7_real_1 (k5_square_1 (k17_quaterni X1)) (k5_square_1 (k18_quaterni X1))) (k5_square_1 (k19_quaterni X1))) (k5_square_1 (k20_quaterni X1)))) = (k32_quaterni X1) → False) → v1_quaterni X1 → 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) → (∀X1 X2 X3, ((k2_xcmplx_0 (k3_xcmplx_0 X1 X3) (k3_xcmplx_0 X2 X3)) = (k3_xcmplx_0 (k2_xcmplx_0 X1 X2) X3) → False) → v1_xcmplx_0 X3 → v1_xcmplx_0 X2 → v1_xcmplx_0 X1 → False) → (∀X1 X2, (v1_xboole_0 X2 → False) → (v1_xboole_0 X1 → False) → (m2_subset_1 (esk4_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 X3, ((k3_xcmplx_0 (k3_xcmplx_0 X1 X2) X3) = (k3_xcmplx_0 X1 (k3_xcmplx_0 X2 X3)) → False) → v1_xcmplx_0 X3 → v1_xcmplx_0 X2 → v1_xcmplx_0 X1 → False) → (∀X1 X2 X3, ((k2_xcmplx_0 (k2_xcmplx_0 X1 X2) X3) = (k2_xcmplx_0 X1 (k2_xcmplx_0 X2 X3)) → False) → v1_xcmplx_0 X3 → v1_xcmplx_0 X2 → v1_xcmplx_0 X1 → False) → (∀X1 X2 X3, ((k7_xcmplx_0 (k3_xcmplx_0 X1 X2) X3) = (k3_xcmplx_0 X1 (k7_xcmplx_0 X2 X3)) → False) → v1_xcmplx_0 X3 → v1_xcmplx_0 X2 → v1_xcmplx_0 X1 → False) → (∀X2 X1, ((k3_xcmplx_0 (k5_xcmplx_0 X1) (k5_xcmplx_0 X2)) = (k5_xcmplx_0 (k3_xcmplx_0 X1 X2)) → False) → v1_xcmplx_0 X2 → v1_xcmplx_0 X1 → False) → (∀X2 X1, ((k2_xcmplx_0 (k4_xcmplx_0 X1) (k4_xcmplx_0 X2)) = (k4_xcmplx_0 (k2_xcmplx_0 X1 X2)) → False) → v1_xcmplx_0 X2 → v1_xcmplx_0 X1 → 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, (m1_subset_1 (k8_real_1 X1 X2) k1_numbers → False) → v1_xreal_0 X2 → m1_subset_1 X1 k1_numbers → False) → (∀X2 X1, (m1_subset_1 (k7_real_1 X1 X2) k1_numbers → False) → v1_xreal_0 X2 → m1_subset_1 X1 k1_numbers → False) → (∀X2 X1, (m1_subset_1 (k9_real_1 X1 X2) k1_numbers → False) → v1_xreal_0 X2 → m1_subset_1 X1 k1_numbers → False) → (∀X2 X1 X3, v1_xboole_0 X3 → r2_hidden X1 X2 → m1_subset_1 X2 (k1_zfmisc_1 X3) → False) → (∀X2 X1, ((k9_real_1 X1 X2) = (k6_xcmplx_0 X1 X2) → False) → v1_xreal_0 X2 → m1_subset_1 X1 k1_numbers → False) → (∀X2 X1, ((k8_real_1 X1 X2) = (k3_xcmplx_0 X1 X2) → False) → v1_xreal_0 X2 → m1_subset_1 X1 k1_numbers → False) → (∀X2 X1, ((k7_real_1 X1 X2) = (k2_xcmplx_0 X1 X2) → False) → v1_xreal_0 X2 → m1_subset_1 X1 k1_numbers → False) → (∀X2 X1, ((k8_real_1 X1 X2) = (k8_real_1 X2 X1) → False) → v1_xreal_0 X2 → m1_subset_1 X1 k1_numbers → False) → (∀X2 X1, ((k7_real_1 X1 X2) = (k7_real_1 X2 X1) → False) → v1_xreal_0 X2 → m1_subset_1 X1 k1_numbers → False) → (∀X2 X1, ((k7_xcmplx_0 (k5_xcmplx_0 X1) (k5_xcmplx_0 X2)) = (k7_xcmplx_0 X2 X1) → False) → v1_xcmplx_0 X2 → v1_xcmplx_0 X1 → False) → (∀X2 X1, ((k6_xcmplx_0 (k4_xcmplx_0 X1) (k4_xcmplx_0 X2)) = (k6_xcmplx_0 X2 X1) → False) → v1_xcmplx_0 X2 → v1_xcmplx_0 X1 → False) → (∀X1 X2, (v2_xxreal_0 X2 → False) → v1_xreal_0 X2 → v1_xreal_0 X1 → v2_xxreal_0 X1 → r1_xxreal_0 X1 X2 → False) → (∀X1 X2, (v2_xxreal_0 X2 → False) → v1_xreal_0 X2 → v1_xreal_0 X1 → v2_xxreal_0 X1 → r1_xxreal_0 X1 X2 → False) → (∀X2 X1, ((k3_xcmplx_0 X1 (k5_xcmplx_0 X2)) = (k7_xcmplx_0 X1 X2) → False) → v1_xcmplx_0 X2 → v1_xcmplx_0 X1 → False) → (∀X2 X1, ((k2_xcmplx_0 X1 (k4_xcmplx_0 X2)) = (k6_xcmplx_0 X1 X2) → False) → v1_xcmplx_0 X2 → v1_xcmplx_0 X1 → False) → (∀X2 X1, ((k3_xcmplx_0 X1 (k5_xcmplx_0 X2)) = (k7_xcmplx_0 X1 X2) → False) → v1_xcmplx_0 X2 → v1_xcmplx_0 X1 → False) → (∀X2 X1, ((k2_xcmplx_0 X1 (k4_xcmplx_0 X2)) = (k6_xcmplx_0 X1 X2) → False) → v1_xcmplx_0 X2 → v1_xcmplx_0 X1 → 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, (v5_membered X2 → False) → v5_membered X1 → m1_subset_1 X2 (k1_zfmisc_1 X1) → False) → (∀X1 X2, (v4_membered X2 → False) → v4_membered X1 → m1_subset_1 X2 (k1_zfmisc_1 X1) → False) → (∀X1 X2, (v3_membered X2 → False) → v3_membered X1 → m1_subset_1 X2 (k1_zfmisc_1 X1) → False) → (∀X1 X2, (v2_membered X2 → False) → v2_membered X1 → m1_subset_1 X2 (k1_zfmisc_1 X1) → False) → (∀X1 X2, (v1_membered X2 → False) → v1_membered X1 → m1_subset_1 X2 (k1_zfmisc_1 X1) → False) → (∀X1 X2, (v6_membered X2 → False) → v6_membered 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) → (∀X2 X1, ((k3_xcmplx_0 X1 X2) = (k3_xcmplx_0 X2 X1) → False) → v1_xcmplx_0 X2 → v1_xcmplx_0 X1 → False) → (∀X2 X1, ((k2_xcmplx_0 X1 X2) = (k2_xcmplx_0 X2 X1) → False) → v1_xcmplx_0 X2 → v1_xcmplx_0 X1 → False) → (∀X1 X2, (v1_xboole_0 X2 → False) → (r2_hidden X1 X2 → False) → m1_subset_1 X1 X2 → False) → (∀X1, (m1_subset_1 (k7_square_1 X1) k1_numbers → False) → m1_subset_1 X1 k1_numbers → False) → (∀X1, (m1_subset_1 (k5_square_1 X1) k1_numbers → False) → m1_subset_1 X1 k1_numbers → False) → (∀X1, (k6_numbers = X1 → False) → v1_xreal_0 X1 → r1_xxreal_0 (k3_square_1 X1) k6_numbers → False) → (∀X2 X1, (m1_subset_1 X1 X2 → False) → r2_hidden X1 X2 → False) → (∀X1 X2, (v7_ordinal1 X2 → False) → v6_membered X1 → m1_subset_1 X2 X1 → False) → (∀X1 X2, (v1_int_1 X2 → False) → v5_membered X1 → m1_subset_1 X2 X1 → False) → (∀X1 X2, (v1_rat_1 X2 → False) → v4_membered X1 → m1_subset_1 X2 X1 → False) → (∀X1 X2, (v1_xreal_0 X2 → False) → v3_membered X1 → m1_subset_1 X2 X1 → False) → (∀X1 X2, (v1_xxreal_0 X2 → False) → v2_membered X1 → m1_subset_1 X2 X1 → False) → (∀X1 X2, (v1_xcmplx_0 X2 → False) → v1_membered X1 → m1_subset_1 X2 X1 → False) → (∀X1, (v3_membered X1 → False) → m1_subset_1 X1 (k1_zfmisc_1 k1_numbers) → False) → (∀X1, (v6_membered X1 → False) → m1_subset_1 X1 (k1_zfmisc_1 k5_numbers) → False) → (∀X1 X2, v1_xboole_0 X2 → r2_hidden X1 X2 → False) → (∀X2 X1, (r1_xxreal_0 X1 X1 → False) → v1_xxreal_0 X2 → v1_xxreal_0 X1 → False) → (∀X1, ((k7_square_1 X1) = (k6_square_1 X1) → False) → m1_subset_1 X1 k1_numbers → False) → (∀X1, ((k3_square_1 X1) = (k5_square_1 X1) → False) → m1_subset_1 X1 k1_numbers → False) → (∀X1, ((k3_xcmplx_0 X1 (k4_xcmplx_0 np__1)) = (k4_xcmplx_0 X1) → False) → v1_xcmplx_0 X1 → False) → (∀X1, (m1_subset_1 (k20_quaterni X1) k1_numbers → False) → v1_quaterni X1 → False) → (∀X1, (m1_subset_1 (k19_quaterni X1) k1_numbers → False) → v1_quaterni X1 → False) → (∀X1, (m1_subset_1 (k18_quaterni X1) k1_numbers → False) → v1_quaterni X1 → False) → (∀X1, (m1_subset_1 (k17_quaterni X1) k1_numbers → False) → v1_quaterni X1 → False) → (∀X1, (m1_subset_1 (k3_quatern2 X1) k1_numbers → False) → v1_quaterni X1 → False) → (∀X1, ((k3_xcmplx_0 X1 X1) = (k3_square_1 X1) → False) → v1_xcmplx_0 X1 → False) → (∀X1, (v6_membered X1 → False) → m1_subset_1 X1 k5_numbers → False) → (∀X1, ((k7_xcmplx_0 np__1 X1) = (k5_xcmplx_0 X1) → False) → v1_xcmplx_0 X1 → False) → (∀X1, ((k3_xcmplx_0 np__1 X1) = X1 → False) → v1_xcmplx_0 X1 → False) → (∀X1, ((k7_xcmplx_0 X1 np__1) = X1 → False) → v1_xcmplx_0 X1 → False) → (∀X1, ((k6_xcmplx_0 X1 k6_numbers) = X1 → False) → v1_xcmplx_0 X1 → False) → (∀X1, ((k2_xcmplx_0 X1 k6_numbers) = X1 → False) → v1_xcmplx_0 X1 → False) → (∀X1, ((k7_xcmplx_0 k6_numbers X1) = k6_numbers → False) → v1_xcmplx_0 X1 → False) → (∀X1, ((k3_xcmplx_0 X1 k6_numbers) = k6_numbers → False) → v1_xcmplx_0 X1 → False) → (∀X1, ((k5_xcmplx_0 (k5_xcmplx_0 X1)) = X1 → False) → v1_xcmplx_0 X1 → False) → (∀X1, ((k4_xcmplx_0 (k4_xcmplx_0 X1)) = X1 → False) → v1_xcmplx_0 X1 → False) → (∀X1, (v1_xreal_0 (k14_quaterni X1) → False) → v1_quaterni X1 → False) → (∀X1, (v1_xreal_0 (k13_quaterni X1) → False) → v1_quaterni X1 → False) → (∀X1, (v1_xreal_0 (k16_quaterni X1) → False) → v1_quaterni X1 → False) → (∀X1, (v1_xreal_0 (k15_quaterni X1) → False) → v1_quaterni X1 → False) → (∀X1, (v1_xreal_0 (k6_square_1 X1) → False) → v1_xreal_0 X1 → False) → (∀X1, (v1_xreal_0 (k32_quaterni X1) → False) → v1_quaterni X1 → False) → (∀X1, (v1_xcmplx_0 (k5_xcmplx_0 X1) → False) → v1_xcmplx_0 X1 → False) → (∀X1, (v1_xcmplx_0 (k4_xcmplx_0 X1) → False) → v1_xcmplx_0 X1 → False) → (∀X2 X1, (X1 = X2 → False) → v1_xboole_0 X2 → v1_xboole_0 X1 → False) → (∀X1, ((k18_quaterni X1) = (k14_quaterni X1) → False) → v1_quaterni X1 → False) → (∀X1, ((k17_quaterni X1) = (k13_quaterni X1) → False) → v1_quaterni X1 → False) → (∀X1, ((k20_quaterni X1) = (k16_quaterni X1) → False) → v1_quaterni X1 → False) → (∀X1, ((k19_quaterni X1) = (k15_quaterni X1) → False) → v1_quaterni X1 → False) → (∀X1, ((k32_quaterni X1) = (k3_quatern2 X1) → False) → v1_quaterni X1 → False) → (∀X1, (v7_membered X1 → False) → v1_xboole_0 X1 → False) → (∀X1, (v5_membered X1 → False) → v6_membered X1 → False) → (∀X1, (v4_membered X1 → False) → v5_membered X1 → False) → (∀X1, (v3_membered X1 → False) → v4_membered X1 → False) → (∀X1, (v2_membered X1 → False) → v3_membered X1 → False) → (∀X1, (v1_membered X1 → False) → v3_membered X1 → False) → (∀X1, (v6_membered X1 → False) → v1_xboole_0 X1 → False) → (∀X1, (X1 = k1_xboole_0 → False) → v1_xboole_0 X1 → False) → (r1_xxreal_0 (k7_xcmplx_0 np__1 np__2) np__0 → False) → (r1_xxreal_0 np__1 (k7_xcmplx_0 np__1 np__2) → False) → (r1_xxreal_0 np__2 (k7_xcmplx_0 np__1 np__2) → False) → ((k9_real_1 (k3_quatern2 esk1_0) (k3_quatern2 esk2_0)) = k6_numbers → False) → (r1_xxreal_0 np__1 (k4_xcmplx_0 np__1) → False) → (r1_xxreal_0 np__0 (k4_xcmplx_0 np__1) → False) → (r1_xxreal_0 np__4 np__1 → False) → (r1_xxreal_0 np__4 np__0 → False) → (r1_xxreal_0 np__4 np__2 → False) → (r1_xxreal_0 np__1 np__0 → False) → (r1_xxreal_0 np__2 np__1 → False) → (r1_xxreal_0 np__2 np__0 → False) → (v1_xboole_0 esk8_0 → False) → (v1_xboole_0 esk7_0 → False) → (v1_xboole_0 esk5_0 → False) → (v1_xboole_0 np__4 → False) → (v1_xboole_0 np__1 → False) → (v1_xboole_0 np__2 → False) → ((r1_xxreal_0 (k9_real_1 (k7_real_1 (k5_square_1 (k3_quatern2 esk1_0)) (k5_square_1 (k3_quatern2 esk2_0))) (k8_real_1 (k8_real_1 np__2 (k3_quatern2 esk1_0)) (k3_quatern2 esk2_0))) k6_numbers → False) → False) → (((k6_xcmplx_0 (k7_xcmplx_0 (k4_xcmplx_0 np__1) np__2) (k7_xcmplx_0 (k4_xcmplx_0 np__1) np__2)) = np__0 → False) → False) → (((k6_xcmplx_0 (k7_xcmplx_0 (k4_xcmplx_0 np__1) np__2) (k7_xcmplx_0 np__1 np__2)) = (k4_xcmplx_0 np__1) → False) → False) → (((k2_xcmplx_0 (k7_xcmplx_0 np__1 np__4) (k7_xcmplx_0 np__1 np__4)) = (k7_xcmplx_0 np__1 np__2) → False) → False) → (((k2_xcmplx_0 (k7_xcmplx_0 (k4_xcmplx_0 np__1) np__2) (k7_xcmplx_0 np__1 np__2)) = np__0 → False) → False) → (((k6_xcmplx_0 (k7_xcmplx_0 np__1 np__2) (k7_xcmplx_0 (k4_xcmplx_0 np__1) np__2)) = np__1 → False) → False) → (((k2_xcmplx_0 (k7_xcmplx_0 np__1 np__2) (k7_xcmplx_0 (k4_xcmplx_0 np__1) np__2)) = np__0 → False) → False) → (((k6_xcmplx_0 (k4_xcmplx_0 np__1) (k7_xcmplx_0 (k4_xcmplx_0 np__1) np__2)) = (k7_xcmplx_0 (k4_xcmplx_0 np__1) np__2) → False) → False) → (((k6_xcmplx_0 (k7_xcmplx_0 (k4_xcmplx_0 np__1) np__2) (k4_xcmplx_0 np__1)) = (k7_xcmplx_0 np__1 np__2) → False) → False) → (((k3_xcmplx_0 (k7_xcmplx_0 (k4_xcmplx_0 np__1) np__2) np__1) = (k7_xcmplx_0 (k4_xcmplx_0 np__1) np__2) → False) → False) → ((r1_xxreal_0 (k7_xcmplx_0 np__1 np__2) (k7_xcmplx_0 np__1 np__2) → False) → False) → (((k6_xcmplx_0 (k7_xcmplx_0 np__1 np__2) (k7_xcmplx_0 np__1 np__2)) = np__0 → False) → False) → (((k2_xcmplx_0 (k7_xcmplx_0 np__1 np__2) (k7_xcmplx_0 np__1 np__2)) = np__1 → False) → False) → (((k2_xcmplx_0 (k7_xcmplx_0 (k4_xcmplx_0 np__1) np__2) np__1) = (k7_xcmplx_0 np__1 np__2) → False) → False) → (((k2_xcmplx_0 np__1 (k7_xcmplx_0 (k4_xcmplx_0 np__1) np__2)) = (k7_xcmplx_0 np__1 np__2) → False) → False) → ((m2_subset_1 np__4 k1_numbers k5_numbers → False) → False) → ((m2_subset_1 np__1 k1_numbers k5_numbers → False) → False) → ((m2_subset_1 np__0 k1_numbers k5_numbers → False) → False) → ((m2_subset_1 np__2 k1_numbers k5_numbers → False) → False) → ((m2_subset_1 k6_numbers k1_numbers k5_numbers → False) → False) → (((k6_xcmplx_0 (k7_xcmplx_0 np__1 np__2) np__1) = (k7_xcmplx_0 (k4_xcmplx_0 np__1) np__2) → False) → False) → (((k6_xcmplx_0 np__0 (k7_xcmplx_0 np__1 np__2)) = (k7_xcmplx_0 (k4_xcmplx_0 np__1) np__2) → False) → False) → (((k3_xcmplx_0 (k7_xcmplx_0 (k4_xcmplx_0 np__1) np__2) (k4_xcmplx_0 np__2)) = np__1 → False) → False) → (((k3_xcmplx_0 (k4_xcmplx_0 np__4) (k7_xcmplx_0 (k4_xcmplx_0 np__1) np__2)) = np__2 → False) → False) → (((k3_xcmplx_0 (k4_xcmplx_0 np__2) (k7_xcmplx_0 (k4_xcmplx_0 np__1) np__2)) = np__1 → False) → False) → (((k3_xcmplx_0 (k7_xcmplx_0 (k4_xcmplx_0 np__1) np__2) np__2) = (k4_xcmplx_0 np__1) → False) → False) → (((k7_xcmplx_0 np__1 (k7_xcmplx_0 (k4_xcmplx_0 np__1) np__2)) = (k4_xcmplx_0 np__2) → False) → False) → (((k3_xcmplx_0 np__4 (k7_xcmplx_0 (k4_xcmplx_0 np__1) np__2)) = (k4_xcmplx_0 np__2) → False) → False) → (((k3_xcmplx_0 np__2 (k7_xcmplx_0 (k4_xcmplx_0 np__1) np__2)) = (k4_xcmplx_0 np__1) → False) → False) → (((k4_xcmplx_0 (k7_xcmplx_0 (k4_xcmplx_0 np__1) np__2)) = (k7_xcmplx_0 np__1 np__2) → False) → False) → (((k3_xcmplx_0 (k7_xcmplx_0 np__1 np__4) np__1) = (k7_xcmplx_0 np__1 np__4) → False) → False) → (((k3_xcmplx_0 (k7_xcmplx_0 np__1 np__4) np__2) = (k7_xcmplx_0 np__1 np__2) → False) → False) → (((k3_xcmplx_0 (k7_xcmplx_0 np__1 np__2) np__1) = (k7_xcmplx_0 np__1 np__2) → False) → False) → (((k6_xcmplx_0 np__1 (k7_xcmplx_0 np__1 np__2)) = (k7_xcmplx_0 np__1 np__2) → False) → False) → (((k3_xcmplx_0 np__1 (k7_xcmplx_0 np__1 np__2)) = (k7_xcmplx_0 np__1 np__2) → False) → False) → (((k3_xcmplx_0 np__2 (k7_xcmplx_0 np__1 np__4)) = (k7_xcmplx_0 np__1 np__2) → False) → False) → (((k3_xcmplx_0 (k7_xcmplx_0 np__1 np__2) (k4_xcmplx_0 np__2)) = (k4_xcmplx_0 np__1) → False) → False) → (((k3_xcmplx_0 (k4_xcmplx_0 np__4) (k7_xcmplx_0 np__1 np__2)) = (k4_xcmplx_0 np__2) → False) → False) → (((k3_xcmplx_0 (k4_xcmplx_0 np__2) (k7_xcmplx_0 np__1 np__2)) = (k4_xcmplx_0 np__1) → False) → False) → (((k4_xcmplx_0 (k7_xcmplx_0 np__1 np__2)) = (k7_xcmplx_0 (k4_xcmplx_0 np__1) np__2) → False) → False) → ((r1_xxreal_0 (k7_xcmplx_0 np__1 np__2) np__1 → False) → False) → ((r1_xxreal_0 (k7_xcmplx_0 np__1 np__2) np__2 → False) → False) → ((r1_xxreal_0 np__0 (k7_xcmplx_0 np__1 np__2) → False) → False) → (((k3_xcmplx_0 (k7_xcmplx_0 np__1 np__2) np__2) = np__1 → False) → False) → (((k7_xcmplx_0 np__1 (k7_xcmplx_0 np__1 np__2)) = np__2 → False) → False) → (((k3_xcmplx_0 np__4 (k7_xcmplx_0 np__1 np__4)) = np__1 → False) → False) → (((k3_xcmplx_0 np__4 (k7_xcmplx_0 np__1 np__2)) = np__2 → False) → False) → (((k3_xcmplx_0 np__2 (k7_xcmplx_0 np__1 np__2)) = np__1 → False) → False) → (((k7_xcmplx_0 (k4_xcmplx_0 np__1) np__2) = (k7_xcmplx_0 np__1 (k4_xcmplx_0 np__2)) → False) → False) → (((k6_xcmplx_0 (k4_xcmplx_0 np__4) (k4_xcmplx_0 np__2)) = (k4_xcmplx_0 np__2) → False) → False) → (((k6_xcmplx_0 (k4_xcmplx_0 np__2) (k4_xcmplx_0 np__1)) = (k4_xcmplx_0 np__1) → False) → False) → (((k2_xcmplx_0 (k4_xcmplx_0 np__1) (k4_xcmplx_0 np__1)) = (k4_xcmplx_0 np__2) → False) → False) → ((r1_xxreal_0 (k4_xcmplx_0 np__1) (k4_xcmplx_0 np__1) → False) → False) → (((k6_xcmplx_0 (k4_xcmplx_0 np__4) (k4_xcmplx_0 np__4)) = np__0 → False) → False) → (((k6_xcmplx_0 (k4_xcmplx_0 np__1) (k4_xcmplx_0 np__1)) = np__0 → False) → False) → (((k6_xcmplx_0 (k4_xcmplx_0 np__1) (k4_xcmplx_0 np__2)) = np__1 → False) → False) → (((k6_xcmplx_0 (k4_xcmplx_0 np__2) (k4_xcmplx_0 np__4)) = np__2 → False) → False) → (((k6_xcmplx_0 (k4_xcmplx_0 np__2) (k4_xcmplx_0 np__2)) = np__0 → False) → False) → (((k3_xcmplx_0 (k4_xcmplx_0 np__2) (k4_xcmplx_0 np__2)) = np__4 → False) → False) → (∀X1, (m1_subset_1 (esk3_1 X1) X1 → False) → False) → (((k6_xcmplx_0 (k4_xcmplx_0 np__1) np__1) = (k4_xcmplx_0 np__2) → False) → False) → (((k6_xcmplx_0 (k4_xcmplx_0 np__1) np__0) = (k4_xcmplx_0 np__1) → False) → False) → (((k6_xcmplx_0 (