Theorem. (
t11_prgcor_1)
∀k6_numbers : set, ∀r1_xxreal_0 : set → set → prop, ∀k4_nat_1 : set → set → set, ∀v7_ordinal1 : set → prop, ∀k2_nat_1 : set → set → set, ∀k3_nat_1 : set → set → set, ∀k4_nat_d : set → set → set, ∀k6_int_1 : set → set → set, ∀k3_real_1 : set → set → set, ∀v1_int_1 : set → prop, ∀k7_xcmplx_0 : set → set → set, ∀v2_xxreal_0 : set → prop, ∀v1_xreal_0 : set → prop, ∀k1_int_1 : set → set, ∀v1_xxreal_0 : set → prop, ∀v3_ordinal1 : set → prop, ∀k4_ordinal1 : set, ∀v1_ordinal1 : set → prop, ∀v2_ordinal1 : set → prop, ∀v5_ordinal1 : set → prop, ∀k1_xboole_0 : set, ∀esk23_0 : set, ∀esk14_0 : set, ∀esk5_1 : set → set, ∀esk7_0 : set, ∀esk16_0 : set, ∀esk18_0 : set, ∀esk19_0 : set, ∀esk11_0 : set, ∀esk20_0 : set, ∀esk12_0 : set, ∀esk8_0 : set, ∀esk10_0 : set, ∀esk9_0 : set, ∀esk22_0 : set, ∀esk21_0 : set, ∀esk17_0 : set, ∀esk13_0 : set, ∀esk15_0 : set, ∀np__2 : set, ∀np__0 : set, ∀v6_ordinal1 : set → prop, ∀r1_tarski : set → set → prop, ∀r2_hidden : set → set → prop, ∀v3_xxreal_0 : set → prop, ∀k1_numbers : set, ∀k5_numbers : set, ∀esk6_2 : set → set → set, ∀k3_xcmplx_0 : set → set → set, ∀k2_xcmplx_0 : set → set → set, ∀v1_xcmplx_0 : set → prop, ∀m2_subset_1 : set → set → set → prop, ∀k1_zfmisc_1 : set → set, ∀m1_subset_1 : set → set → prop, ∀v1_xboole_0 : set → prop, ∀k4_xcmplx_0 : set → set, ∀np__1 : set, ∀k6_xcmplx_0 : set → set → set, ∀epred1_4 : set → set → set → set → prop, ∀k3_nat_d : set → set → set, ∀esk3_0 : set, ∀esk4_0 : set, ∀k5_int_1 : set → set → set, ∀esk1_0 : set, ∀esk2_0 : set, ((k3_nat_d esk3_0 esk4_0) = (k5_int_1 esk1_0 esk2_0) → (k4_xcmplx_0 (k3_nat_d esk3_0 esk4_0)) = (k5_int_1 esk1_0 esk2_0) → (k6_xcmplx_0 (k4_xcmplx_0 (k3_nat_d esk3_0 esk4_0)) np__1) = (k5_int_1 esk1_0 esk2_0) → epred1_4 esk1_0 esk2_0 esk3_0 esk4_0 → False) → ((k4_xcmplx_0 (k3_nat_d esk3_0 esk4_0)) = (k5_int_1 esk1_0 esk2_0) → (k6_xcmplx_0 (k4_xcmplx_0 (k3_nat_d esk3_0 esk4_0)) np__1) = (k5_int_1 esk1_0 esk2_0) → r1_xxreal_0 k6_numbers esk2_0 → epred1_4 esk1_0 esk2_0 esk3_0 esk4_0 → False) → ((k4_xcmplx_0 (k3_nat_d esk3_0 esk4_0)) = (k5_int_1 esk1_0 esk2_0) → (k6_xcmplx_0 (k4_xcmplx_0 (k3_nat_d esk3_0 esk4_0)) np__1) = (k5_int_1 esk1_0 esk2_0) → r1_xxreal_0 k6_numbers esk1_0 → epred1_4 esk1_0 esk2_0 esk3_0 esk4_0 → False) → (((k4_nat_1 esk4_0 (k3_nat_d esk3_0 esk4_0)) = esk3_0 → False) → (k3_nat_d esk3_0 esk4_0) = (k5_int_1 esk1_0 esk2_0) → (k6_xcmplx_0 (k4_xcmplx_0 (k3_nat_d esk3_0 esk4_0)) np__1) = (k5_int_1 esk1_0 esk2_0) → epred1_4 esk1_0 esk2_0 esk3_0 esk4_0 → False) → (((k4_xcmplx_0 esk2_0) = esk4_0 → False) → (k4_xcmplx_0 (k3_nat_d esk3_0 esk4_0)) = (k5_int_1 esk1_0 esk2_0) → (k6_xcmplx_0 (k4_xcmplx_0 (k3_nat_d esk3_0 esk4_0)) np__1) = (k5_int_1 esk1_0 esk2_0) → epred1_4 esk1_0 esk2_0 esk3_0 esk4_0 → False) → (((k4_xcmplx_0 esk1_0) = esk3_0 → False) → (k4_xcmplx_0 (k3_nat_d esk3_0 esk4_0)) = (k5_int_1 esk1_0 esk2_0) → (k6_xcmplx_0 (k4_xcmplx_0 (k3_nat_d esk3_0 esk4_0)) np__1) = (k5_int_1 esk1_0 esk2_0) → epred1_4 esk1_0 esk2_0 esk3_0 esk4_0 → False) → (∀X3 X4 X2 X1, (epred1_4 X1 X2 X3 X4 → False) → (k5_int_1 X1 X2) = k6_numbers → (k3_nat_d X3 X4) = k6_numbers → (k3_nat_d X3 X4) = (k5_int_1 X1 X2) → (k5_int_1 X1 X2) = (k4_xcmplx_0 (k3_nat_d X3 X4)) → (k5_int_1 X1 X2) = (k6_xcmplx_0 (k4_xcmplx_0 (k3_nat_d X3 X4)) np__1) → False) → (((k4_nat_1 esk4_0 (k3_nat_d esk3_0 esk4_0)) = esk3_0 → False) → (k6_xcmplx_0 (k4_xcmplx_0 (k3_nat_d esk3_0 esk4_0)) np__1) = (k5_int_1 esk1_0 esk2_0) → r1_xxreal_0 k6_numbers esk2_0 → epred1_4 esk1_0 esk2_0 esk3_0 esk4_0 → False) → (((k4_nat_1 esk4_0 (k3_nat_d esk3_0 esk4_0)) = esk3_0 → False) → (k6_xcmplx_0 (k4_xcmplx_0 (k3_nat_d esk3_0 esk4_0)) np__1) = (k5_int_1 esk1_0 esk2_0) → r1_xxreal_0 k6_numbers esk1_0 → epred1_4 esk1_0 esk2_0 esk3_0 esk4_0 → False) → (((k4_xcmplx_0 esk2_0) = esk4_0 → False) → ((k4_nat_1 esk4_0 (k3_nat_d esk3_0 esk4_0)) = esk3_0 → False) → (k6_xcmplx_0 (k4_xcmplx_0 (k3_nat_d esk3_0 esk4_0)) np__1) = (k5_int_1 esk1_0 esk2_0) → epred1_4 esk1_0 esk2_0 esk3_0 esk4_0 → False) → (((k4_xcmplx_0 esk1_0) = esk3_0 → False) → ((k4_nat_1 esk4_0 (k3_nat_d esk3_0 esk4_0)) = esk3_0 → False) → (k6_xcmplx_0 (k4_xcmplx_0 (k3_nat_d esk3_0 esk4_0)) np__1) = (k5_int_1 esk1_0 esk2_0) → epred1_4 esk1_0 esk2_0 esk3_0 esk4_0 → False) → ((k3_nat_d esk3_0 esk4_0) = (k5_int_1 esk1_0 esk2_0) → (k4_nat_1 esk4_0 (k3_nat_d esk3_0 esk4_0)) = esk3_0 → (k4_xcmplx_0 (k3_nat_d esk3_0 esk4_0)) = (k5_int_1 esk1_0 esk2_0) → epred1_4 esk1_0 esk2_0 esk3_0 esk4_0 → False) → (∀X3 X4 X2 X1, (epred1_4 X1 X2 X3 X4 → False) → (k5_int_1 X1 X2) = k6_numbers → (k3_nat_d X3 X4) = k6_numbers → (k5_int_1 X1 X2) = (k4_xcmplx_0 (k3_nat_d X3 X4)) → (k5_int_1 X1 X2) = (k6_xcmplx_0 (k4_xcmplx_0 (k3_nat_d X3 X4)) np__1) → r1_xxreal_0 X2 k6_numbers → False) → (∀X1 X2 X4 X3, ((k4_nat_1 X4 (k3_nat_d X3 X4)) = X3 → False) → (epred1_4 X1 X2 X3 X4 → False) → (k5_int_1 X1 X2) = k6_numbers → (k3_nat_d X3 X4) = k6_numbers → (k3_nat_d X3 X4) = (k5_int_1 X1 X2) → (k5_int_1 X1 X2) = (k6_xcmplx_0 (k4_xcmplx_0 (k3_nat_d X3 X4)) np__1) → False) → (∀X2 X4 X3 X1, (r1_xxreal_0 k6_numbers X1 → False) → (epred1_4 X1 X2 X3 X4 → False) → (k5_int_1 X1 X2) = k6_numbers → (k3_nat_d X3 X4) = k6_numbers → (k5_int_1 X1 X2) = (k4_xcmplx_0 (k3_nat_d X3 X4)) → (k5_int_1 X1 X2) = (k6_xcmplx_0 (k4_xcmplx_0 (k3_nat_d X3 X4)) np__1) → False) → ((k4_nat_1 esk4_0 (k3_nat_d esk3_0 esk4_0)) = esk3_0 → (k4_xcmplx_0 (k3_nat_d esk3_0 esk4_0)) = (k5_int_1 esk1_0 esk2_0) → r1_xxreal_0 k6_numbers esk2_0 → epred1_4 esk1_0 esk2_0 esk3_0 esk4_0 → False) → ((k4_nat_1 esk4_0 (k3_nat_d esk3_0 esk4_0)) = esk3_0 → (k4_xcmplx_0 (k3_nat_d esk3_0 esk4_0)) = (k5_int_1 esk1_0 esk2_0) → r1_xxreal_0 k6_numbers esk1_0 → epred1_4 esk1_0 esk2_0 esk3_0 esk4_0 → False) → (∀X2 X4 X1 X3, (X1 = X3 → False) → (epred1_4 X1 X2 X3 X4 → False) → (k5_int_1 X1 X2) = k6_numbers → (k3_nat_d X3 X4) = k6_numbers → (k5_int_1 X1 X2) = (k4_xcmplx_0 (k3_nat_d X3 X4)) → (k5_int_1 X1 X2) = (k6_xcmplx_0 (k4_xcmplx_0 (k3_nat_d X3 X4)) np__1) → False) → (∀X1 X3 X2 X4, (X2 = X4 → False) → (epred1_4 X1 X2 X3 X4 → False) → (k5_int_1 X1 X2) = k6_numbers → (k3_nat_d X3 X4) = k6_numbers → (k5_int_1 X1 X2) = (k4_xcmplx_0 (k3_nat_d X3 X4)) → (k5_int_1 X1 X2) = (k6_xcmplx_0 (k4_xcmplx_0 (k3_nat_d X3 X4)) np__1) → False) → (∀X2 X4 X1 X3, (X1 = X3 → False) → (epred1_4 X1 X2 X3 X4 → False) → (k3_nat_d X3 X4) = (k5_int_1 X1 X2) → (k5_int_1 X1 X2) = (k4_xcmplx_0 (k3_nat_d X3 X4)) → (k5_int_1 X1 X2) = (k6_xcmplx_0 (k4_xcmplx_0 (k3_nat_d X3 X4)) np__1) → False) → (∀X1 X3 X2 X4, (X2 = X4 → False) → (epred1_4 X1 X2 X3 X4 → False) → (k3_nat_d X3 X4) = (k5_int_1 X1 X2) → (k5_int_1 X1 X2) = (k4_xcmplx_0 (k3_nat_d X3 X4)) → (k5_int_1 X1 X2) = (k6_xcmplx_0 (k4_xcmplx_0 (k3_nat_d X3 X4)) np__1) → False) → (∀X1 X4 X3 X2, (X2 = k6_numbers → False) → (epred1_4 X1 X2 X3 X4 → False) → (k3_nat_d X3 X4) = (k5_int_1 X1 X2) → (k5_int_1 X1 X2) = (k4_xcmplx_0 (k3_nat_d X3 X4)) → (k5_int_1 X1 X2) = (k6_xcmplx_0 (k4_xcmplx_0 (k3_nat_d X3 X4)) np__1) → False) → (((k4_xcmplx_0 esk2_0) = esk4_0 → False) → (k4_nat_1 esk4_0 (k3_nat_d esk3_0 esk4_0)) = esk3_0 → (k4_xcmplx_0 (k3_nat_d esk3_0 esk4_0)) = (k5_int_1 esk1_0 esk2_0) → epred1_4 esk1_0 esk2_0 esk3_0 esk4_0 → False) → (((k4_xcmplx_0 esk1_0) = esk3_0 → False) → (k4_nat_1 esk4_0 (k3_nat_d esk3_0 esk4_0)) = esk3_0 → (k4_xcmplx_0 (k3_nat_d esk3_0 esk4_0)) = (k5_int_1 esk1_0 esk2_0) → epred1_4 esk1_0 esk2_0 esk3_0 esk4_0 → False) → (∀X1 X2 X4 X3, ((k4_nat_1 X4 (k3_nat_d X3 X4)) = X3 → False) → (epred1_4 X1 X2 X3 X4 → False) → (k5_int_1 X1 X2) = k6_numbers → (k3_nat_d X3 X4) = k6_numbers → (k5_int_1 X1 X2) = (k6_xcmplx_0 (k4_xcmplx_0 (k3_nat_d X3 X4)) np__1) → r1_xxreal_0 X2 k6_numbers → False) → (∀X1 X2 X4 X3, ((k4_nat_1 X4 (k3_nat_d X3 X4)) = X3 → False) → (r1_xxreal_0 k6_numbers X1 → False) → (epred1_4 X1 X2 X3 X4 → False) → (k5_int_1 X1 X2) = k6_numbers → (k3_nat_d X3 X4) = k6_numbers → (k5_int_1 X1 X2) = (k6_xcmplx_0 (k4_xcmplx_0 (k3_nat_d X3 X4)) np__1) → False) → (∀X2 X4 X1 X3, (X1 = X3 → False) → (epred1_4 X1 X2 X3 X4 → False) → (k5_int_1 X1 X2) = (k4_xcmplx_0 (k3_nat_d X3 X4)) → (k5_int_1 X1 X2) = (k6_xcmplx_0 (k4_xcmplx_0 (k3_nat_d X3 X4)) np__1) → r1_xxreal_0 X2 k6_numbers → False) → (∀X1 X3 X2 X4, (X2 = X4 → False) → (epred1_4 X1 X2 X3 X4 → False) → (k5_int_1 X1 X2) = (k4_xcmplx_0 (k3_nat_d X3 X4)) → (k5_int_1 X1 X2) = (k6_xcmplx_0 (k4_xcmplx_0 (k3_nat_d X3 X4)) np__1) → r1_xxreal_0 X2 k6_numbers → False) → (∀X1 X4 X3 X2, (X2 = k6_numbers → False) → (epred1_4 X1 X2 X3 X4 → False) → (k5_int_1 X1 X2) = (k4_xcmplx_0 (k3_nat_d X3 X4)) → (k5_int_1 X1 X2) = (k6_xcmplx_0 (k4_xcmplx_0 (k3_nat_d X3 X4)) np__1) → r1_xxreal_0 X2 k6_numbers → False) → (∀X2 X1 X4 X3, (epred1_4 X3 X4 X2 X1 → False) → (k5_int_1 X3 X4) = k6_numbers → (k3_nat_d X2 X1) = k6_numbers → (k3_nat_d X2 X1) = (k5_int_1 X3 X4) → (k4_nat_1 X1 (k3_nat_d X2 X1)) = X2 → (k5_int_1 X3 X4) = (k4_xcmplx_0 (k3_nat_d X2 X1)) → False) → (∀X4 X2 X1 X3, (X1 = X3 → False) → ((k4_nat_1 X4 (k3_nat_d X3 X4)) = X3 → False) → (epred1_4 X1 X2 X3 X4 → False) → (k5_int_1 X1 X2) = k6_numbers → (k3_nat_d X3 X4) = k6_numbers → (k5_int_1 X1 X2) = (k6_xcmplx_0 (k4_xcmplx_0 (k3_nat_d X3 X4)) np__1) → False) → (∀X3 X1 X2 X4, (X2 = X4 → False) → ((k4_nat_1 X4 (k3_nat_d X3 X4)) = X3 → False) → (epred1_4 X1 X2 X3 X4 → False) → (k5_int_1 X1 X2) = k6_numbers → (k3_nat_d X3 X4) = k6_numbers → (k5_int_1 X1 X2) = (k6_xcmplx_0 (k4_xcmplx_0 (k3_nat_d X3 X4)) np__1) → False) → (∀X4 X2 X1 X3, (X1 = X3 → False) → ((k4_nat_1 X4 (k3_nat_d X3 X4)) = X3 → False) → (epred1_4 X1 X2 X3 X4 → False) → (k3_nat_d X3 X4) = (k5_int_1 X1 X2) → (k5_int_1 X1 X2) = (k6_xcmplx_0 (k4_xcmplx_0 (k3_nat_d X3 X4)) np__1) → False) → (∀X3 X1 X2 X4, (X2 = X4 → False) → ((k4_nat_1 X4 (k3_nat_d X3 X4)) = X3 → False) → (epred1_4 X1 X2 X3 X4 → False) → (k3_nat_d X3 X4) = (k5_int_1 X1 X2) → (k5_int_1 X1 X2) = (k6_xcmplx_0 (k4_xcmplx_0 (k3_nat_d X3 X4)) np__1) → False) → (∀X3 X4 X1 X2, (X2 = k6_numbers → False) → ((k4_nat_1 X4 (k3_nat_d X3 X4)) = X3 → False) → (epred1_4 X1 X2 X3 X4 → False) → (k3_nat_d X3 X4) = (k5_int_1 X1 X2) → (k5_int_1 X1 X2) = (k6_xcmplx_0 (k4_xcmplx_0 (k3_nat_d X3 X4)) np__1) → False) → (∀X4 X2 X1 X3, (X1 = X3 → False) → (r1_xxreal_0 k6_numbers X1 → False) → (epred1_4 X1 X2 X3 X4 → False) → (k5_int_1 X1 X2) = (k4_xcmplx_0 (k3_nat_d X3 X4)) → (k5_int_1 X1 X2) = (k6_xcmplx_0 (k4_xcmplx_0 (k3_nat_d X3 X4)) np__1) → False) → (∀X1 X3 X2 X4, (X2 = X4 → False) → (r1_xxreal_0 k6_numbers X1 → False) → (epred1_4 X1 X2 X3 X4 → False) → (k5_int_1 X1 X2) = (k4_xcmplx_0 (k3_nat_d X3 X4)) → (k5_int_1 X1 X2) = (k6_xcmplx_0 (k4_xcmplx_0 (k3_nat_d X3 X4)) np__1) → False) → (∀X1 X3 X4 X2, (X2 = k6_numbers → False) → (r1_xxreal_0 k6_numbers X1 → False) → (epred1_4 X1 X2 X3 X4 → False) → (k5_int_1 X1 X2) = (k4_xcmplx_0 (k3_nat_d X3 X4)) → (k5_int_1 X1 X2) = (k6_xcmplx_0 (k4_xcmplx_0 (k3_nat_d X3 X4)) np__1) → False) → (∀X3 X1 X2 X4, (X2 = X4 → False) → (X1 = X3 → False) → (epred1_4 X1 X2 X3 X4 → False) → (k5_int_1 X1 X2) = (k4_xcmplx_0 (k3_nat_d X3 X4)) → (k5_int_1 X1 X2) = (k6_xcmplx_0 (k4_xcmplx_0 (k3_nat_d X3 X4)) np__1) → False) → (∀X3 X1 X2 X4, (X2 = X4 → False) → (X1 = X3 → False) → (epred1_4 X1 X2 X3 X4 → False) → (k5_int_1 X1 X2) = (k4_xcmplx_0 (k3_nat_d X3 X4)) → (k5_int_1 X1 X2) = (k6_xcmplx_0 (k4_xcmplx_0 (k3_nat_d X3 X4)) np__1) → False) → (∀X2 X4 X1 X3, (X1 = X3 → False) → (X2 = k6_numbers → False) → (epred1_4 X1 X2 X3 X4 → False) → (k5_int_1 X1 X2) = (k4_xcmplx_0 (k3_nat_d X3 X4)) → (k5_int_1 X1 X2) = (k6_xcmplx_0 (k4_xcmplx_0 (k3_nat_d X3 X4)) np__1) → False) → (∀X3 X1 X2 X4, (X2 = X4 → False) → (X2 = k6_numbers → False) → (epred1_4 X1 X2 X3 X4 → False) → (k5_int_1 X1 X2) = (k4_xcmplx_0 (k3_nat_d X3 X4)) → (k5_int_1 X1 X2) = (k6_xcmplx_0 (k4_xcmplx_0 (k3_nat_d X3 X4)) np__1) → False) → (∀X2 X4 X1 X3, (X1 = X3 → False) → (epred1_4 X1 X2 X3 X4 → False) → (k5_int_1 X1 X2) = (k4_xcmplx_0 (k3_nat_d X3 X4)) → (k5_int_1 X1 X2) = (k6_xcmplx_0 (k4_xcmplx_0 (k3_nat_d X3 X4)) np__1) → False) → (∀X1 X3 X2 X4, (X2 = X4 → False) → (epred1_4 X1 X2 X3 X4 → False) → (k5_int_1 X1 X2) = (k4_xcmplx_0 (k3_nat_d X3 X4)) → (k5_int_1 X1 X2) = (k6_xcmplx_0 (k4_xcmplx_0 (k3_nat_d X3 X4)) np__1) → False) → (∀X2 X1 X4 X3, (epred1_4 X3 X4 X2 X1 → False) → (k5_int_1 X3 X4) = k6_numbers → (k3_nat_d X2 X1) = k6_numbers → (k4_nat_1 X1 (k3_nat_d X2 X1)) = X2 → (k5_int_1 X3 X4) = (k4_xcmplx_0 (k3_nat_d X2 X1)) → r1_xxreal_0 X4 k6_numbers → False) → (∀X4 X2 X1 X3, (X1 = X3 → False) → ((k4_nat_1 X4 (k3_nat_d X3 X4)) = X3 → False) → (epred1_4 X1 X2 X3 X4 → False) → (k5_int_1 X1 X2) = (k6_xcmplx_0 (k4_xcmplx_0 (k3_nat_d X3 X4)) np__1) → r1_xxreal_0 X2 k6_numbers → False) → (∀X3 X1 X2 X4, (X2 = X4 → False) → ((k4_nat_1 X4 (k3_nat_d X3 X4)) = X3 → False) → (epred1_4 X1 X2 X3 X4 → False) → (k5_int_1 X1 X2) = (k6_xcmplx_0 (k4_xcmplx_0 (k3_nat_d X3 X4)) np__1) → r1_xxreal_0 X2 k6_numbers → False) → (∀X3 X4 X1 X2, (X2 = k6_numbers → False) → ((k4_nat_1 X4 (k3_nat_d X3 X4)) = X3 → False) → (epred1_4 X1 X2 X3 X4 → False) → (k5_int_1 X1 X2) = (k6_xcmplx_0 (k4_xcmplx_0 (k3_nat_d X3 X4)) np__1) → r1_xxreal_0 X2 k6_numbers → False) → (∀X4 X1 X2 X3, (r1_xxreal_0 k6_numbers X3 → False) → (epred1_4 X3 X4 X2 X1 → False) → (k5_int_1 X3 X4) = k6_numbers → (k3_nat_d X2 X1) = k6_numbers → (k4_nat_1 X1 (k3_nat_d X2 X1)) = X2 → (k5_int_1 X3 X4) = (k4_xcmplx_0 (k3_nat_d X2 X1)) → False) → (∀X4 X2 X1 X3, (X1 = X3 → False) → ((k4_nat_1 X4 (k3_nat_d X3 X4)) = X3 → False) → (r1_xxreal_0 k6_numbers X1 → False) → (epred1_4 X1 X2 X3 X4 → False) → (k5_int_1 X1 X2) = (k6_xcmplx_0 (k4_xcmplx_0 (k3_nat_d X3 X4)) np__1) → False) → (∀X3 X1 X2 X4, (X2 = X4 → False) → ((k4_nat_1 X4 (k3_nat_d X3 X4)) = X3 → False) → (r1_xxreal_0 k6_numbers X1 → False) → (epred1_4 X1 X2 X3 X4 → False) → (k5_int_1 X1 X2) = (k6_xcmplx_0 (k4_xcmplx_0 (k3_nat_d X3 X4)) np__1) → False) → (∀X3 X4 X1 X2, (X2 = k6_numbers → False) → ((k4_nat_1 X4 (k3_nat_d X3 X4)) = X3 → False) → (r1_xxreal_0 k6_numbers X1 → False) → (epred1_4 X1 X2 X3 X4 → False) → (k5_int_1 X1 X2) = (k6_xcmplx_0 (k4_xcmplx_0 (k3_nat_d X3 X4)) np__1) → False) → ((k3_nat_d esk3_0 esk4_0) = (k5_int_1 esk1_0 esk2_0) → r1_xxreal_0 esk2_0 k6_numbers → epred1_4 esk1_0 esk2_0 esk3_0 esk4_0 → False) → ((k3_nat_d esk3_0 esk4_0) = (k5_int_1 esk1_0 esk2_0) → r1_xxreal_0 k6_numbers esk1_0 → epred1_4 esk1_0 esk2_0 esk3_0 esk4_0 → False) → (∀X3 X2 X1 X4, (X1 = X4 → False) → (epred1_4 X3 X4 X2 X1 → False) → (k5_int_1 X3 X4) = k6_numbers → (k3_nat_d X2 X1) = k6_numbers → (k4_nat_1 X1 (k3_nat_d X2 X1)) = X2 → (k5_int_1 X3 X4) = (k4_xcmplx_0 (k3_nat_d X2 X1)) → False) → (∀X4 X1 X2 X3, (X2 = X3 → False) → (epred1_4 X3 X4 X2 X1 → False) → (k5_int_1 X3 X4) = k6_numbers → (k3_nat_d X2 X1) = k6_numbers → (k4_nat_1 X1 (k3_nat_d X2 X1)) = X2 → (k5_int_1 X3 X4) = (k4_xcmplx_0 (k3_nat_d X2 X1)) → False) → (∀X2 X3 X1 X4, (X1 = X4 → False) → (epred1_4 X3 X4 X2 X1 → False) → (k3_nat_d X2 X1) = (k5_int_1 X3 X4) → (k4_nat_1 X1 (k3_nat_d X2 X1)) = X2 → (k5_int_1 X3 X4) = (k4_xcmplx_0 (k3_nat_d X2 X1)) → False) → (∀X1 X4 X2 X3, (X2 = X3 → False) → (epred1_4 X3 X4 X2 X1 → False) → (k3_nat_d X2 X1) = (k5_int_1 X3 X4) → (k4_nat_1 X1 (k3_nat_d X2 X1)) = X2 → (k5_int_1 X3 X4) = (k4_xcmplx_0 (k3_nat_d X2 X1)) → False) → (∀X2 X1 X3 X4, (X4 = k6_numbers → False) → (epred1_4 X3 X4 X2 X1 → False) → (k3_nat_d X2 X1) = (k5_int_1 X3 X4) → (k4_nat_1 X1 (k3_nat_d X2 X1)) = X2 → (k5_int_1 X3 X4) = (k4_xcmplx_0 (k3_nat_d X2 X1)) → False) → (∀X3 X1 X2 X4, (X2 = X4 → False) → (X1 = X3 → False) → ((k4_nat_1 X4 (k3_nat_d X3 X4)) = X3 → False) → (epred1_4 X1 X2 X3 X4 → False) → (k5_int_1 X1 X2) = (k6_xcmplx_0 (k4_xcmplx_0 (k3_nat_d X3 X4)) np__1) → False) → (∀X3 X1 X2 X4, (X2 = X4 → False) → (X1 = X3 → False) → ((k4_nat_1 X4 (k3_nat_d X3 X4)) = X3 → False) → (epred1_4 X1 X2 X3 X4 → False) → (k5_int_1 X1 X2) = (k6_xcmplx_0 (k4_xcmplx_0 (k3_nat_d X3 X4)) np__1) → False) → (∀X2 X4 X1 X3, (X1 = X3 → False) → (X2 = k6_numbers → False) → ((k4_nat_1 X4 (k3_nat_d X3 X4)) = X3 → False) → (epred1_4 X1 X2 X3 X4 → False) → (k5_int_1 X1 X2) = (k6_xcmplx_0 (k4_xcmplx_0 (k3_nat_d X3 X4)) np__1) → False) → (∀X1 X3 X2 X4, (X2 = X4 → False) → (X2 = k6_numbers → False) → ((k4_nat_1 X4 (k3_nat_d X3 X4)) = X3 → False) → (epred1_4 X1 X2 X3 X4 → False) → (k5_int_1 X1 X2) = (k6_xcmplx_0 (k4_xcmplx_0 (k3_nat_d X3 X4)) np__1) → False) → (∀X4 X2 X1 X3, (X1 = X3 → False) → ((k4_nat_1 X4 (k3_nat_d X3 X4)) = X3 → False) → (epred1_4 X1 X2 X3 X4 → False) → (k5_int_1 X1 X2) = (k6_xcmplx_0 (k4_xcmplx_0 (k3_nat_d X3 X4)) np__1) → False) → (∀X3 X1 X2 X4, (X2 = X4 → False) → ((k4_nat_1 X4 (k3_nat_d X3 X4)) = X3 → False) → (epred1_4 X1 X2 X3 X4 → False) → (k5_int_1 X1 X2) = (k6_xcmplx_0 (k4_xcmplx_0 (k3_nat_d X3 X4)) np__1) → False) → (((k4_xcmplx_0 esk1_0) = esk3_0 → False) → (k3_nat_d esk3_0 esk4_0) = (k5_int_1 esk1_0 esk2_0) → epred1_4 esk1_0 esk2_0 esk3_0 esk4_0 → False) → (r1_xxreal_0 k6_numbers esk2_0 → r1_xxreal_0 esk2_0 k6_numbers → epred1_4 esk1_0 esk2_0 esk3_0 esk4_0 → False) → (r1_xxreal_0 k6_numbers esk1_0 → r1_xxreal_0 esk2_0 k6_numbers → epred1_4 esk1_0 esk2_0 esk3_0 esk4_0 → False) → (r1_xxreal_0 k6_numbers esk1_0 → r1_xxreal_0 k6_numbers esk2_0 → epred1_4 esk1_0 esk2_0 esk3_0 esk4_0 → False) → ((esk4_0 = esk2_0 → False) → (k3_nat_d esk3_0 esk4_0) = (k5_int_1 esk1_0 esk2_0) → epred1_4 esk1_0 esk2_0 esk3_0 esk4_0 → False) → (∀X2 X3 X1 X4, (X1 = X4 → False) → (epred1_4 X3 X4 X2 X1 → False) → (k4_nat_1 X1 (k3_nat_d X2 X1)) = X2 → (k5_int_1 X3 X4) = (k4_xcmplx_0 (k3_nat_d X2 X1)) → r1_xxreal_0 X4 k6_numbers → False) → (∀X1 X4 X2 X3, (X2 = X3 → False) → (epred1_4 X3 X4 X2 X1 → False) → (k4_nat_1 X1 (k3_nat_d X2 X1)) = X2 → (k5_int_1 X3 X4) = (k4_xcmplx_0 (k3_nat_d X2 X1)) → r1_xxreal_0 X4 k6_numbers → False) → (∀X2 X1 X3 X4, (X4 = k6_numbers → False) → (epred1_4 X3 X4 X2 X1 → False) → (k4_nat_1 X1 (k3_nat_d X2 X1)) = X2 → (k5_int_1 X3 X4) = (k4_xcmplx_0 (k3_nat_d X2 X1)) → r1_xxreal_0 X4 k6_numbers → False) → (((k4_xcmplx_0 esk2_0) = esk4_0 → False) → r1_xxreal_0 esk2_0 k6_numbers → epred1_4 esk1_0 esk2_0 esk3_0 esk4_0 → False) → (((k4_xcmplx_0 esk2_0) = esk4_0 → False) → r1_xxreal_0 k6_numbers esk1_0 → epred1_4 esk1_0 esk2_0 esk3_0 esk4_0 → False) → (((k4_xcmplx_0 esk1_0) = esk3_0 → False) → r1_xxreal_0 esk2_0 k6_numbers → epred1_4 esk1_0 esk2_0 esk3_0 esk4_0 → False) → (((k4_xcmplx_0 esk1_0) = esk3_0 → False) → r1_xxreal_0 k6_numbers esk2_0 → epred1_4 esk1_0 esk2_0 esk3_0 esk4_0 → False) → (((k4_xcmplx_0 esk1_0) = esk3_0 → False) → r1_xxreal_0 k6_numbers esk1_0 → epred1_4 esk1_0 esk2_0 esk3_0 esk4_0 → False) → (((k4_xcmplx_0 esk1_0) = esk3_0 → False) → r1_xxreal_0 k6_numbers esk1_0 → epred1_4 esk1_0 esk2_0 esk3_0 esk4_0 → False) → ((esk4_0 = esk2_0 → False) → r1_xxreal_0 k6_numbers esk2_0 → epred1_4 esk1_0 esk2_0 esk3_0 esk4_0 → False) → ((esk4_0 = esk2_0 → False) → r1_xxreal_0 k6_numbers esk1_0 → epred1_4 esk1_0 esk2_0 esk3_0 esk4_0 → False) → (r1_xxreal_0 k6_numbers esk1_0 → epred1_4 esk1_0 esk2_0 esk3_0 esk4_0 → False) → (∀X3 X2 X1 X4, (X1 = X4 → False) → (r1_xxreal_0 k6_numbers X3 → False) → (epred1_4 X3 X4 X2 X1 → False) → (k4_nat_1 X1 (k3_nat_d X2 X1)) = X2 → (k5_int_1 X3 X4) = (k4_xcmplx_0 (k3_nat_d X2 X1)) → False) → (∀X4 X1 X2 X3, (X2 = X3 → False) → (r1_xxreal_0 k6_numbers X3 → False) → (epred1_4 X3 X4 X2 X1 → False) → (k4_nat_1 X1 (k3_nat_d X2 X1)) = X2 → (k5_int_1 X3 X4) = (k4_xcmplx_0 (k3_nat_d X2 X1)) → False) → (∀X3 X1 X2 X4, (X4 = k6_numbers → False) → (r1_xxreal_0 k6_numbers X3 → False) → (epred1_4 X3 X4 X2 X1 → False) → (k4_nat_1 X1 (k3_nat_d X2 X1)) = X2 → (k5_int_1 X3 X4) = (k4_xcmplx_0 (k3_nat_d X2 X1)) → False) → (∀X4 X1 X2 X3, (X2 = X3 → False) → (X1 = X4 → False) → (epred1_4 X3 X4 X2 X1 → False) → (k4_nat_1 X1 (k3_nat_d X2 X1)) = X2 → (k5_int_1 X3 X4) = (k4_xcmplx_0 (k3_nat_d X2 X1)) → False) → (∀X4 X1 X2 X3, (X2 = X3 → False) → (X1 = X4 → False) → (epred1_4 X3 X4 X2 X1 → False) → (k4_nat_1 X1 (k3_nat_d X2 X1)) = X2 → (k5_int_1 X3 X4) = (k4_xcmplx_0 (k3_nat_d X2 X1)) → False) → (((k4_xcmplx_0 esk1_0) = esk3_0 → False) → ((k4_xcmplx_0 esk2_0) = esk4_0 → False) → epred1_4 esk1_0 esk2_0 esk3_0 esk4_0 → False) → (∀X3 X2 X1 X4, (X1 = X4 → False) → (X4 = k6_numbers → False) → (epred1_4 X3 X4 X2 X1 → False) → (k4_nat_1 X1 (k3_nat_d X2 X1)) = X2 → (k5_int_1 X3 X4) = (k4_xcmplx_0 (k3_nat_d X2 X1)) → False) → (∀X4 X1 X2 X3, (X2 = X3 → False) → (X4 = k6_numbers → False) → (epred1_4 X3 X4 X2 X1 → False) → (k4_nat_1 X1 (k3_nat_d X2 X1)) = X2 → (k5_int_1 X3 X4) = (k4_xcmplx_0 (k3_nat_d X2 X1)) → False) → (∀X2 X3 X1 X4, (X1 = X4 → False) → (epred1_4 X3 X4 X2 X1 → False) → (k4_nat_1 X1 (k3_nat_d X2 X1)) = X2 → (k5_int_1 X3 X4) = (k4_xcmplx_0 (k3_nat_d X2 X1)) → False) → (∀X1 X4 X2 X3, (X2 = X3 → False) → (epred1_4 X3 X4 X2 X1 → False) → (k4_nat_1 X1 (k3_nat_d X2 X1)) = X2 → (k5_int_1 X3 X4) = (k4_xcmplx_0 (k3_nat_d X2 X1)) → False) → ((esk4_0 = esk2_0 → False) → ((k4_xcmplx_0 esk2_0) = esk4_0 → False) → epred1_4 esk1_0 esk2_0 esk3_0 esk4_0 → False) → ((esk4_0 = esk2_0 → False) → ((k4_xcmplx_0 esk1_0) = esk3_0 → False) → epred1_4 esk1_0 esk2_0 esk3_0 esk4_0 → False) → (((k4_xcmplx_0 esk1_0) = esk3_0 → False) → epred1_4 esk1_0 esk2_0 esk3_0 esk4_0 → False) → (∀X3 X4 X1 X2, (epred1_4 X2 X1 X3 X4 → False) → (k5_int_1 X2 X1) = k6_numbers → (k3_nat_d X3 X4) = k6_numbers → (k3_nat_d X3 X4) = (k5_int_1 X2 X1) → r1_xxreal_0 k6_numbers X1 → False) → (∀X2 X4 X3 X1, (r1_xxreal_0 k6_numbers X1 → False) → (epred1_4 X1 X2 X3 X4 → False) → (k5_int_1 X1 X2) = k6_numbers → (k3_nat_d X3 X4) = k6_numbers → (k3_nat_d X3 X4) = (k5_int_1 X1 X2) → False) → (∀X3 X4 X1 X2, (X1 = (k4_xcmplx_0 X2) → False) → (epred1_4 X3 X2 X4 X1 → False) → (k5_int_1 X3 X2) = k6_numbers → (k3_nat_d X4 X1) = k6_numbers → (k3_nat_d X4 X1) = (k5_int_1 X3 X2) → False) → (∀X3 X4 X1 X2, (X1 = X2 → False) → (epred1_4 X2 X3 X1 X4 → False) → (k5_int_1 X2 X3) = k6_numbers → (k3_nat_d X1 X4) = k6_numbers → (k3_nat_d X1 X4) = (k5_int_1 X2 X3) → False) → (∀X4 X3 X1 X2, (epred1_4 X2 X1 X3 X4 → False) → (k5_int_1 X2 X1) = k6_numbers → (k3_nat_d X3 X4) = k6_numbers → r1_xxreal_0 X1 k6_numbers → r1_xxreal_0 k6_numbers X1 → False) → (∀X1 X3 X4 X2, (r1_xxreal_0 k6_numbers X2 → False) → (epred1_4 X2 X1 X3 X4 → False) → (k5_int_1 X2 X1) = k6_numbers → (k3_nat_d X3 X4) = k6_numbers → r1_xxreal_0 k6_numbers X1 → False) → (∀X2 X3 X4 X1, (r1_xxreal_0 k6_numbers X1 → False) → (epred1_4 X1 X2 X3 X4 → False) → (k5_int_1 X1 X2) = k6_numbers → (k3_nat_d X3 X4) = k6_numbers → r1_xxreal_0 X2 k6_numbers → False) → (∀X3 X4 X1 X2, (X1 = (k4_xcmplx_0 X2) → False) → (epred1_4 X3 X2 X4 X1 → False) → (k5_int_1 X3 X2) = k6_numbers → (k3_nat_d X4 X1) = k6_numbers → r1_xxreal_0 X2 k6_numbers → False) → (∀X3 X4 X1 X2, (X1 = X2 → False) → (epred1_4 X3 X1 X4 X2 → False) → (k5_int_1 X3 X1) = k6_numbers → (k3_nat_d X4 X2) = k6_numbers → r1_xxreal_0 k6_numbers X1 → False) → (∀X1 X4 X2 X3, (X2 = X3 → False) → (epred1_4 X3 X1 X2 X4 → False) → (k5_int_1 X3 X1) = k6_numbers → (k3_nat_d X2 X4) = k6_numbers → r1_xxreal_0 k6_numbers X1 → False) → (∀X3 X4 X1 X2, (X1 = X2 → False) → (epred1_4 X2 X3 X1 X4 → False) → (k5_int_1 X2 X3) = k6_numbers → (k3_nat_d X1 X4) = k6_numbers → r1_xxreal_0 X3 k6_numbers → False) → (∀X3 X2 X1 X4, (X1 = X4 → False) → (epred1_4 X2 X1 X3 X4 → False) → (k3_nat_d X3 X4) = (k5_int_1 X2 X1) → r1_xxreal_0 k6_numbers X1 → False) → (∀X1 X4 X2 X3, (X2 = X3 → False) → (epred1_4 X2 X1 X3 X4 → False) → (k3_nat_d X3 X4) = (k5_int_1 X2 X1) → r1_xxreal_0 k6_numbers X1 → False) → (∀X4 X3 X2 X1, (X1 = k6_numbers → False) → (epred1_4 X2 X1 X3 X4 → False) → (k3_nat_d X3 X4) = (k5_int_1 X2 X1) → r1_xxreal_0 k6_numbers X1 → False) → (∀X3 X4 X1 X2, (X1 = (k4_xcmplx_0 X2) → False) → (r1_xxreal_0 k6_numbers X3 → False) → (epred1_4 X3 X2 X4 X1 → False) → (k5_int_1 X3 X2) = k6_numbers → (k3_nat_d X4 X1) = k6_numbers → False) → (∀X3 X4 X1 X2, (X1 = X2 → False) → (r1_xxreal_0 k6_numbers X1 → False) → (epred1_4 X1 X3 X2 X4 → False) → (k5_int_1 X1 X3) = k6_numbers → (k3_nat_d X2 X4) = k6_numbers → False) → (∀X3 X4 X1 X2, (X1 = X2 → False) → (r1_xxreal_0 k6_numbers X2 → False) → (epred1_4 X2 X3 X1 X4 → False) → (k5_int_1 X2 X3) = k6_numbers → (k3_nat_d X1 X4) = k6_numbers → False) → (∀X1 X4 X2 X3, (X2 = X3 → False) → (r1_xxreal_0 k6_numbers X1 → False) → (epred1_4 X1 X3 X4 X2 → False) → (k5_int_1 X1 X3) = k6_numbers → (k3_nat_d X4 X2) = k6_numbers → False) → (∀X2 X4 X1 X3, (X1 = X3 → False) → (r1_xxreal_0 k6_numbers X1 → False) → (epred1_4 X1 X2 X3 X4 → False) → (k3_nat_d X3 X4) = (k5_int_1 X1 X2) → False) → (∀X1 X3 X2 X4, (X2 = X4 → False) → (r1_xxreal_0 k6_numbers X1 → False) → (epred1_4 X1 X2 X3 X4 → False) → (k3_nat_d X3 X4) = (k5_int_1 X1 X2) → False) → (∀X1 X3 X4 X2, (X2 = k6_numbers → False) → (r1_xxreal_0 k6_numbers X1 → False) → (epred1_4 X1 X2 X3 X4 → False) → (k3_nat_d X3 X4) = (k5_int_1 X1 X2) → False) → (∀X4 X3 X2 X1, (r1_xxreal_0 k6_numbers X1 → False) → (epred1_4 X1 X2 X3 X4 → False) → (k5_int_1 X1 X2) = k6_numbers → (k3_nat_d X3 X4) = k6_numbers → False) → (∀X3 X4 X1 X2, (X1 = X2 → False) → (X1 = (k4_xcmplx_0 X2) → False) → (epred1_4 X3 X2 X4 X1 → False) → (k5_int_1 X3 X2) = k6_numbers → (k3_nat_d X4 X1) = k6_numbers → False) → (∀X2 X1 X3 X4, (X3 = X4 → False) → (X1 = (k4_xcmplx_0 X2) → False) → (epred1_4 X4 X2 X3 X1 → False) → (k5_int_1 X4 X2) = k6_numbers → (k3_nat_d X3 X1) = k6_numbers → False) → (∀X3 X4 X1 X2, (X1 = X2 → False) → (X1 = (k4_xcmplx_0 X2) → False) → (epred1_4 X3 X2 X4 X1 → False) → (k3_nat_d X4 X1) = (k5_int_1 X3 X2) → False) → (∀X2 X1 X3 X4, (X3 = X4 → False) → (X1 = (k4_xcmplx_0 X2) → False) → (epred1_4 X3 X2 X4 X1 → False) → (k3_nat_d X4 X1) = (k5_int_1 X3 X2) → False) → (∀X1 X3 X4 X2, (X2 = k6_numbers → False) → (X1 = (k4_xcmplx_0 X2) → False) → (epred1_4 X3 X2 X4 X1 → False) → (k3_nat_d X4 X1) = (k5_int_1 X3 X2) → False) → (∀X2 X1 X3 X4, (X3 = X4 → False) → (X1 = X2 → False) → (epred1_4 X2 X4 X1 X3 → False) → (k5_int_1 X2 X4) = k6_numbers → (k3_nat_d X1 X3) = k6_numbers → False) → (∀X2 X1 X3 X4, (X3 = X4 → False) → (X1 = X2 → False) → (epred1_4 X2 X3 X1 X4 → False) → (k3_nat_d X1 X4) = (k5_int_1 X2 X3) → False) → (∀X3 X4 X1 X2, (X1 = X2 → False) → (X3 = k6_numbers → False) → (epred1_4 X2 X3 X1 X4 → False) → (k3_nat_d X1 X4) = (k5_int_1 X2 X3) → False) → (∀X4 X3 X1 X2, (X1 = X2 → False) → (epred1_4 X2 X3 X1 X4 → False) → (k5_int_1 X2 X3) = k6_numbers → (k3_nat_d X1 X4) = k6_numbers → False) → (∀X4 X3 X1 X2, (X1 = X2 → False) → (epred1_4 X2 X3 X1 X4 → False) → (k3_nat_d X1 X4) = (k5_int_1 X2 X3) → False) → (∀X4 X3 X1 X2, (X1 = X2 → False) → (epred1_4 X3 X1 X4 X2 → False) → r1_xxreal_0 X1 k6_numbers → r1_xxreal_0 k6_numbers X1 → False) → (∀X1 X4 X2 X3, (X2 = X3 → False) → (epred1_4 X3 X1 X2 X4 → False) → r1_xxreal_0 X1 k6_numbers → r1_xxreal_0 k6_numbers X1 → False) → (∀X3 X4 X2 X1, (X1 = k6_numbers → False) → (epred1_4 X2 X1 X3 X4 → False) → r1_xxreal_0 X1 k6_numbers → r1_xxreal_0 k6_numbers X1 → False) → (∀X2 X4 X1 X3, (X1 = X3 → False) → (r1_xxreal_0 k6_numbers X2 → False) → (epred1_4 X2 X1 X4 X3 → False) → r1_xxreal_0 k6_numbers X1 → False) → (∀X4 X1 X2 X3, (X2 = X3 → False) → (r1_xxreal_0 k6_numbers X2 → False) → (epred1_4 X2 X1 X3 X4 → False) → r1_xxreal_0 k6_numbers X1 → False) → (∀X4 X2 X1 X3, (X1 = X3 → False) → (r1_xxreal_0 k6_numbers X1 → False) → (epred1_4 X1 X2 X3 X4 → False) → r1_xxreal_0 X2 k6_numbers → False) → (∀X1 X4 X2 X3, (X2 = X3 → False) → (r1_xxreal_0 k6_numbers X1 → False) → (epred1_4 X1 X2 X4 X3 → False) → r1_xxreal_0 X2 k6_numbers → False) → (∀X2 X4 X3 X1, (X1 = k6_numbers → False) → (r1_xxreal_0 k6_numbers X2 → False) → (epred1_4 X2 X1 X3 X4 → False) → r1_xxreal_0 k6_numbers X1 → False) → (∀X1 X4 X3 X2, (X2 = k6_numbers → False) → (r1_xxreal_0 k6_numbers X1 → False) → (epred1_4 X1 X2 X3 X4 → False) → r1_xxreal_0 X2 k6_numbers → False) → (∀X3 X4 X1 X2, (X1 = X2 → False) → (X1 = (k4_xcmplx_0 X2) → False) → (epred1_4 X3 X2 X4 X1 → False) → r1_xxreal_0 X2 k6_numbers → False) → (∀X2 X1 X3 X4, (X3 = X4 → False) → (X1 = (k4_xcmplx_0 X2) → False) → (epred1_4 X4 X2 X3 X1 → False) → r1_xxreal_0 X2 k6_numbers → False) → (∀X1 X3 X4 X2, (X2 = k6_numbers → False) → (X1 = (k4_xcmplx_0 X2) → False) → (epred1_4 X3 X2 X4 X1 → False) → r1_xxreal_0 X2 k6_numbers → False) → (∀X4 X1 X2 X3, (X2 = X3 → False) → (X1 = X4 → False) → (epred1_4 X3 X1 X2 X4 → False) → r1_xxreal_0 k6_numbers X1 → False) → (∀X2 X1 X3 X4, (X3 = X4 → False) → (X1 = X2 → False) → (epred1_4 X4 X1 X3 X2 → False) → r1_xxreal_0 k6_numbers X1 → False) → (∀X2 X1 X3 X4, (X3 = X4 → False) → (X1 = X2 → False) → (epred1_4 X2 X3 X1 X4 → False) → r1_xxreal_0 X3 k6_numbers → False) → (∀X3 X4 X1 X2, (X1 = X2 → False) → (X1 = k6_numbers → False) → (epred1_4 X3 X1 X4 X2 → False) → r1_xxreal_0 k6_numbers X1 → False) → (∀X1 X4 X2 X3, (X2 = X3 → False) → (X1 = k6_numbers → False) → (epred1_4 X3 X1 X2 X4 → False) → r1_xxreal_0 k6_numbers X1 → False) → (∀X3 X4 X1 X2, (X1 = X2 → False) → (X3 = k6_numbers → False) → (epred1_4 X2 X3 X1 X4 → False) → r1_xxreal_0 X3 k6_numbers → False) → (∀X4 X3 X1 X2, (X1 = X2 → False) → (epred1_4 X3 X1 X4 X2 → False) → r1_xxreal_0 k6_numbers X1 → False) → (∀X1 X4 X2 X3, (X2 = X3 → False) → (epred1_4 X3 X1 X2 X4 → False) → r1_xxreal_0 k6_numbers X1 → False) → (∀X3 X4 X1 X2, (X1 = X2 → False) → (epred1_4 X2 X3 X1 X4 → False) → r1_xxreal_0 X3 k6_numbers → False) → (∀X4 X3 X1 X2, (X1 = X2 → False) → (X1 = (k4_xcmplx_0 X2) → False) → (r1_xxreal_0 k6_numbers X3 → False) → (epred1_4 X3 X2 X4 X1 → False) → False) → (∀X2 X1 X3 X4, (X3 = X4 → False) → (X1 = (k4_xcmplx_0 X2) → False) → (r1_xxreal_0 k6_numbers X3 → False) → (epred1_4 X3 X2 X4 X1 → False) → False) → (∀X1 X4 X3 X2, (X2 = k6_numbers → False) → (X1 = (k4_xcmplx_0 X2) → False) → (r1_xxreal_0 k6_numbers X3 → False) → (epred1_4 X3 X2 X4 X1 → False) → False) → (∀X4 X1 X2 X3, (X2 = X3 → False) → (X1 = X4 → False) → (r1_xxreal_0 k6_numbers X1 → False) → (epred1_4 X1 X3 X4 X2 → False) → False) → (∀X2 X1 X3 X4, (X3 = X4 → False) → (X1 = X2 → False) → (r1_xxreal_0 k6_numbers X1 → False) → (epred1_4 X1 X4 X2 X3 → False) → False) → (∀X2 X1 X3 X4, (X3 = X4 → False) → (X1 = X2 → False) → (r1_xxreal_0 k6_numbers X2 → False) → (epred1_4 X2 X4 X1 X3 → False) → False) → (∀X3 X4 X1 X2, (X1 = X2 → False) → (X3 = k6_numbers → False) → (r1_xxreal_0 k6_numbers X1 → False) → (epred1_4 X1 X3 X2 X4 → False) → False) → (∀X3 X4 X1 X2, (X1 = X2 → False) → (X3 = k6_numbers → False) → (r1_xxreal_0 k6_numbers X2 → False) → (epred1_4 X2 X3 X1 X4 → False) → False) → (∀X4 X1 X2 X3, (X2 = X3 → False) → (X3 = k6_numbers → False) → (r1_xxreal_0 k6_numbers X1 → False) → (epred1_4 X1 X3 X4 X2 → False) → False) → (∀X4 X3 X1 X2, (X1 = X2 → False) → (r1_xxreal_0 k6_numbers X1 → False) → (epred1_4 X1 X3 X2 X4 → False) → False) → (∀X4 X3 X1 X2, (X1 = X2 → False) → (r1_xxreal_0 k6_numbers X1 → False) → (epred1_4 X1 X3 X2 X4 → False) → False) → (∀X4 X3 X1 X2, (X1 = X2 → False) → (r1_xxreal_0 k6_numbers X2 → False) → (epred1_4 X2 X3 X1 X4 → False) → False) → (∀X1 X4 X2 X3, (X2 = X3 → False) → (r1_xxreal_0 k6_numbers X1 → False) → (epred1_4 X1 X3 X4 X2 → False) → False) → (∀X1 X4 X2 X3, (X2 = X3 → False) → (r1_xxreal_0 k6_numbers X1 → False) → (epred1_4 X1 X3 X4 X2 → False) → False) → (∀X1 X4 X3 X2, (X2 = k6_numbers → False) → (r1_xxreal_0 k6_numbers X1 → False) → (epred1_4 X1 X2 X3 X4 → False) → False) → (∀X2 X1 X3 X4, (X3 = X4 → False) → (X1 = X2 → False) → (X1 = (k4_xcmplx_0 X2) → False) → (epred1_4 X4 X2 X3 X1 → False) → False) → (∀X2 X1 X3 X4, (X3 = X4 → False) → (X1 = X2 → False) → (X1 = (k4_xcmplx_0 X2) → False) → (epred1_4 X4 X2 X3 X1 → False) → False) → (∀X4 X3 X1 X2, (X1 = X2 → False) → (X2 = k6_numbers → False) → (X1 = (k4_xcmplx_0 X2) → False) → (epred1_4 X3 X2 X4 X1 → False) → False) → (∀X2 X1 X3 X4, (X3 = X4 → False) → (X2 = k6_numbers → False) → (X1 = (k4_xcmplx_0 X2) → False) → (epred1_4 X4 X2 X3 X1 → False) → False) → (∀X3 X4 X1 X2, (X1 = X2 → False) → (X1 = (k4_xcmplx_0 X2) → False) → (epred1_4 X3 X2 X4 X1 → False) → False) → (∀X2 X1 X3 X4, (X3 = X4 → False) → (X1 = (k4_xcmplx_0 X2) → False) → (epred1_4 X4 X2 X3 X1 → False) → False) → (∀X2 X1 X3 X4, (X3 = X4 → False) → (X1 = X2 → False) → (X4 = k6_numbers → False) → (epred1_4 X2 X4 X1 X3 → False) → False) → (∀X2 X1 X3 X4, (X3 = X4 → False) → (X1 = X2 → False) → (epred1_4 X2 X4 X1 X3 → False) → False) → (∀X2 X1 X3 X4, (X3 = X4 → False) → (X1 = X2 → False) → (epred1_4 X2 X4 X1 X3 → False) → False) → (∀X2 X1 X3 X4, (X3 = X4 → False) → (X1 = X2 → False) → (epred1_4 X2 X4 X1 X3 → False) → False) → (∀X3 X4 X1 X2, (X1 = X2 → False) → (X3 = k6_numbers → False) → (epred1_4 X2 X3 X1 X4 → False) → False) → (∀X3 X4 X1 X2, (X1 = X2 → False) → (epred1_4 X2 X3 X1 X4 → False) → False) → (∀X2 X1, ((k2_nat_1 (