Theorem. (
l23_projred2)
∀v1_incproj : set → prop, ∀v3_incproj : set → prop, ∀v5_incproj : set → prop, ∀l1_incsp_1 : set → prop, ∀u1_incsp_1 : set → set, ∀m1_subset_1 : set → set → prop, ∀u2_incsp_1 : set → set, ∀v9_incproj : set → prop, ∀v4_incproj : set → prop, ∀v2_incproj : set → prop, ∀v6_incsp_1 : set → prop, ∀esk1_0 : set, ∀esk4_0 : set, ∀esk8_0 : set, ∀esk6_0 : set, ∀esk2_0 : set, ∀esk5_0 : set, ∀esk3_0 : set, ∀esk7_0 : set, ∀v1_xboole_0 : set → prop, ∀k1_enumset1 : set → set → set → set, ∀v4_relat_1 : set → set → prop, ∀v1_relat_1 : set → prop, ∀v3_funct_1 : set → prop, ∀v1_zfmisc_1 : set → prop, ∀esk23_0 : set, ∀esk19_2 : set → set → set, ∀esk18_0 : set, ∀esk16_0 : set, ∀esk20_0 : set, ∀esk17_1 : set → set, ∀esk22_2 : set → set → set, ∀esk21_0 : set, ∀k1_xboole_0 : set, ∀r1_tarski : set → set → prop, ∀v4_funct_1 : set → prop, ∀r2_hidden : set → set → prop, ∀v2_funct_1 : set → prop, ∀k2_tarski : set → set → set, ∀v5_relat_1 : set → set → prop, ∀esk12_1 : set → set, ∀esk11_1 : set → set, ∀esk10_3 : set → set → set → set, ∀esk14_1 : set → set, ∀esk15_1 : set → set, ∀esk13_3 : set → set → set → set, ∀v1_funct_1 : set → prop, ∀k1_zfmisc_1 : set → set, ∀k2_zfmisc_1 : set → set → set, ∀esk9_4 : set → set → set → set → set, ∀epred2_9 : set → set → set → set → set → set → set → set → set → prop, ∀k8_domain_1 : set → set → set → set → set, ∀k7_domain_1 : set → set → set → set, ∀r4_incsp_1 : set → set → set → prop, ∀r1_incsp_1 : set → set → set → prop, ∀epred1_16 : set → set → set → set → set → set → set → set → set → set → set → set → set → set → set → set → prop, ∀r1_projred2 : set → set → set → set → prop, ∀k1_projred1 : set → set → set → set → set, ∀k3_relat_1 : set → set → set, (∀X5 X3 X14 X11 X8 X13 X7 X15 X9 X6 X4 X10 X2 X1 X12 X16, (X12 = X16 → False) → (X3 = X5 → False) → ((k3_relat_1 (k1_projred1 X1 X3 X4 X16) (k1_projred1 X1 X4 X10 X2)) = (k3_relat_1 (k1_projred1 X1 X3 X5 X12) (k1_projred1 X1 X5 X10 X2)) → False) → (r1_incsp_1 X1 X16 X4 → False) → (r1_incsp_1 X1 X16 X3 → False) → (r1_incsp_1 X1 X12 X5 → False) → (r1_incsp_1 X1 X12 X3 → False) → (r1_incsp_1 X1 X2 X10 → False) → (r1_incsp_1 X1 X2 X5 → False) → (r1_incsp_1 X1 X2 X4 → False) → (r1_projred2 X1 X10 X4 X6 → False) → (r1_projred2 X1 X3 X10 X4 → False) → r1_incsp_1 X1 X16 X9 → r1_incsp_1 X1 X16 X6 → r1_incsp_1 X1 X15 X5 → r1_incsp_1 X1 X15 X4 → r1_incsp_1 X1 X15 X3 → r1_incsp_1 X1 X14 X9 → r1_incsp_1 X1 X14 X7 → r1_incsp_1 X1 X14 X3 → r1_incsp_1 X1 X13 X8 → r1_incsp_1 X1 X13 X7 → r1_incsp_1 X1 X13 X5 → r1_incsp_1 X1 X12 X7 → r1_incsp_1 X1 X12 X6 → r1_incsp_1 X1 X11 X10 → r1_incsp_1 X1 X11 X9 → r1_incsp_1 X1 X11 X8 → r1_incsp_1 X1 X11 X4 → r1_incsp_1 X1 X2 X8 → r1_incsp_1 X1 X2 X6 → epred1_16 X1 X2 X3 X4 X5 X6 X7 X8 X9 X10 X11 X12 X13 X14 X15 X16 → False) → (∀X15 X13 X11 X9 X7 X5 X2 X3 X4 X6 X8 X10 X12 X14 X16 X1, (epred1_16 X1 X3 X9 X11 X12 X13 X15 X16 X14 X10 X5 X7 X8 X6 X4 X2 → False) → v6_incsp_1 X1 → v1_incproj X1 → v2_incproj X1 → v3_incproj X1 → v4_incproj X1 → v5_incproj X1 → v9_incproj X1 → l1_incsp_1 X1 → m1_subset_1 X16 (u2_incsp_1 X1) → m1_subset_1 X15 (u2_incsp_1 X1) → m1_subset_1 X14 (u2_incsp_1 X1) → m1_subset_1 X13 (u2_incsp_1 X1) → m1_subset_1 X12 (u2_incsp_1 X1) → m1_subset_1 X11 (u2_incsp_1 X1) → m1_subset_1 X10 (u2_incsp_1 X1) → m1_subset_1 X9 (u2_incsp_1 X1) → m1_subset_1 X8 (u1_incsp_1 X1) → m1_subset_1 X7 (u1_incsp_1 X1) → m1_subset_1 X6 (u1_incsp_1 X1) → m1_subset_1 X5 (u1_incsp_1 X1) → m1_subset_1 X4 (u1_incsp_1 X1) → m1_subset_1 X3 (u1_incsp_1 X1) → m1_subset_1 X2 (u1_incsp_1 X1) → False) → (∀X6 X3 X1 X9 X8 X12 X16 X14 X11 X13 X10 X15 X2 X5 X4 X7, (X4 = X7 → False) → (X3 = X6 → False) → (X3 = X5 → False) → (r1_incsp_1 X1 X7 X6 → False) → (r1_incsp_1 X1 X7 X3 → False) → (r1_incsp_1 X1 X4 X6 → False) → (r1_incsp_1 X1 X4 X5 → False) → (r1_projred2 X1 X8 X6 X9 → False) → (r1_projred2 X1 X5 X8 X6 → False) → r1_incsp_1 X1 X12 X8 → r1_incsp_1 X1 X2 X3 → m1_subset_1 X16 (u2_incsp_1 X1) → m1_subset_1 X15 (u2_incsp_1 X1) → m1_subset_1 X14 (u2_incsp_1 X1) → m1_subset_1 X9 (u2_incsp_1 X1) → m1_subset_1 X8 (u2_incsp_1 X1) → m1_subset_1 X6 (u2_incsp_1 X1) → m1_subset_1 X3 (u2_incsp_1 X1) → r4_incsp_1 X1 (k7_domain_1 (u1_incsp_1 X1) X10 X13) X3 → r4_incsp_1 X1 (k7_domain_1 (u1_incsp_1 X1) X10 X12) X6 → r4_incsp_1 X1 (k7_domain_1 (u1_incsp_1 X1) X10 X11) X5 → epred2_9 X1 X7 X2 X5 X13 X11 X12 X10 X4 → r4_incsp_1 X1 (k8_domain_1 (u1_incsp_1 X1) X7 X12 X13) X16 → r4_incsp_1 X1 (k8_domain_1 (u1_incsp_1 X1) X4 X12 X11) X14 → r4_incsp_1 X1 (k8_domain_1 (u1_incsp_1 X1) X4 X7 X2) X9 → r4_incsp_1 X1 (k8_domain_1 (u1_incsp_1 X1) X2 X11 X13) X15 → False) → (∀X6 X4 X1 X9 X8 X12 X16 X14 X11 X13 X10 X15 X2 X3 X5 X7, (X5 = X7 → False) → (X4 = X6 → False) → (X3 = X7 → False) → (r1_incsp_1 X1 X6 X7 → False) → (r1_incsp_1 X1 X6 X5 → False) → (r1_incsp_1 X1 X4 X5 → False) → (r1_incsp_1 X1 X4 X3 → False) → (r1_projred2 X1 X8 X5 X9 → False) → (r1_projred2 X1 X3 X8 X5 → False) → r1_incsp_1 X1 X12 X8 → r1_incsp_1 X1 X2 X3 → m1_subset_1 X16 (u2_incsp_1 X1) → m1_subset_1 X15 (u2_incsp_1 X1) → m1_subset_1 X14 (u2_incsp_1 X1) → m1_subset_1 X9 (u2_incsp_1 X1) → m1_subset_1 X8 (u2_incsp_1 X1) → m1_subset_1 X7 (u2_incsp_1 X1) → m1_subset_1 X5 (u2_incsp_1 X1) → r4_incsp_1 X1 (k7_domain_1 (u1_incsp_1 X1) X10 X13) X7 → r4_incsp_1 X1 (k7_domain_1 (u1_incsp_1 X1) X10 X12) X5 → r4_incsp_1 X1 (k7_domain_1 (u1_incsp_1 X1) X10 X11) X3 → epred2_9 X1 X6 X2 X3 X13 X11 X12 X10 X4 → r4_incsp_1 X1 (k8_domain_1 (u1_incsp_1 X1) X6 X12 X13) X16 → r4_incsp_1 X1 (k8_domain_1 (u1_incsp_1 X1) X4 X12 X11) X14 → r4_incsp_1 X1 (k8_domain_1 (u1_incsp_1 X1) X4 X6 X2) X9 → r4_incsp_1 X1 (k8_domain_1 (u1_incsp_1 X1) X2 X11 X13) X15 → False) → (∀X4 X3 X9 X8 X1 X16 X14 X11 X13 X10 X15 X12 X2 X6 X5 X7, (X5 = X7 → False) → (X4 = X7 → False) → (X2 = X6 → False) → (r1_incsp_1 X3 X6 X7 → False) → (r1_incsp_1 X3 X6 X5 → False) → (r1_incsp_1 X3 X2 X5 → False) → (r1_incsp_1 X3 X2 X4 → False) → (r1_projred2 X3 X8 X5 X9 → False) → (r1_projred2 X3 X4 X8 X5 → False) → X1 = X2 → r1_incsp_1 X3 X12 X8 → m1_subset_1 X16 (u2_incsp_1 X3) → m1_subset_1 X15 (u2_incsp_1 X3) → m1_subset_1 X14 (u2_incsp_1 X3) → m1_subset_1 X9 (u2_incsp_1 X3) → m1_subset_1 X8 (u2_incsp_1 X3) → m1_subset_1 X7 (u2_incsp_1 X3) → m1_subset_1 X5 (u2_incsp_1 X3) → r4_incsp_1 X3 (k7_domain_1 (u1_incsp_1 X3) X10 X13) X7 → r4_incsp_1 X3 (k7_domain_1 (u1_incsp_1 X3) X10 X12) X5 → r4_incsp_1 X3 (k7_domain_1 (u1_incsp_1 X3) X10 X11) X4 → epred2_9 X3 X6 X1 X4 X13 X11 X12 X10 X2 → r4_incsp_1 X3 (k8_domain_1 (u1_incsp_1 X3) X6 X12 X13) X16 → r4_incsp_1 X3 (k8_domain_1 (u1_incsp_1 X3) X2 X12 X11) X14 → r4_incsp_1 X3 (k8_domain_1 (u1_incsp_1 X3) X2 X6 X1) X9 → r4_incsp_1 X3 (k8_domain_1 (u1_incsp_1 X3) X1 X11 X13) X15 → False) → (∀X5 X3 X9 X8 X1 X16 X14 X11 X13 X10 X15 X12 X2 X4 X6 X7, (X6 = X7 → False) → (X5 = X7 → False) → (X2 = X4 → False) → (r1_incsp_1 X3 X4 X6 → False) → (r1_incsp_1 X3 X4 X5 → False) → (r1_incsp_1 X3 X2 X7 → False) → (r1_incsp_1 X3 X2 X6 → False) → (r1_projred2 X3 X8 X6 X9 → False) → (r1_projred2 X3 X5 X8 X6 → False) → X1 = X2 → r1_incsp_1 X3 X12 X8 → m1_subset_1 X16 (u2_incsp_1 X3) → m1_subset_1 X15 (u2_incsp_1 X3) → m1_subset_1 X14 (u2_incsp_1 X3) → m1_subset_1 X9 (u2_incsp_1 X3) → m1_subset_1 X8 (u2_incsp_1 X3) → m1_subset_1 X7 (u2_incsp_1 X3) → m1_subset_1 X6 (u2_incsp_1 X3) → r4_incsp_1 X3 (k7_domain_1 (u1_incsp_1 X3) X10 X13) X7 → r4_incsp_1 X3 (k7_domain_1 (u1_incsp_1 X3) X10 X12) X6 → r4_incsp_1 X3 (k7_domain_1 (u1_incsp_1 X3) X10 X11) X5 → epred2_9 X3 X2 X1 X5 X13 X11 X12 X10 X4 → r4_incsp_1 X3 (k8_domain_1 (u1_incsp_1 X3) X4 X12 X11) X14 → r4_incsp_1 X3 (k8_domain_1 (u1_incsp_1 X3) X4 X2 X1) X9 → r4_incsp_1 X3 (k8_domain_1 (u1_incsp_1 X3) X2 X12 X13) X16 → r4_incsp_1 X3 (k8_domain_1 (u1_incsp_1 X3) X1 X11 X13) X15 → False) → (∀X8 X6 X4 X3 X2 X5 X7 X9 X1, (epred2_9 X1 X3 X7 X9 X8 X5 X6 X4 X2 → False) → v6_incsp_1 X1 → v1_incproj X1 → v2_incproj X1 → v3_incproj X1 → v4_incproj X1 → v5_incproj X1 → v9_incproj X1 → l1_incsp_1 X1 → m1_subset_1 X9 (u2_incsp_1 X1) → m1_subset_1 X8 (u1_incsp_1 X1) → m1_subset_1 X7 (u1_incsp_1 X1) → m1_subset_1 X6 (u1_incsp_1 X1) → m1_subset_1 X5 (u1_incsp_1 X1) → m1_subset_1 X4 (u1_incsp_1 X1) → m1_subset_1 X3 (u1_incsp_1 X1) → m1_subset_1 X2 (u1_incsp_1 X1) → False) → (∀X1, (r1_incsp_1 esk1_0 X1 esk4_0 → False) → (r1_incsp_1 esk1_0 X1 esk7_0 → False) → (k3_relat_1 (k1_projred1 esk1_0 esk4_0 esk7_0 X1) (k1_projred1 esk1_0 esk7_0 esk5_0 esk3_0)) = (k3_relat_1 (k1_projred1 esk1_0 esk4_0 esk6_0 esk2_0) (k1_projred1 esk1_0 esk6_0 esk5_0 esk3_0)) → m1_subset_1 X1 (u1_incsp_1 esk1_0) → r1_incsp_1 esk1_0 X1 esk8_0 → False) → (∀X3 X2 X4 X1, (r1_incsp_1 X1 (esk9_4 X1 X2 X3 X4) X2 → False) → v6_incsp_1 X1 → v1_incproj X1 → v2_incproj X1 → v3_incproj X1 → v4_incproj X1 → l1_incsp_1 X1 → m1_subset_1 X4 (u2_incsp_1 X1) → m1_subset_1 X3 (u2_incsp_1 X1) → m1_subset_1 X2 (u2_incsp_1 X1) → r1_projred2 X1 X2 X3 X4 → False) → (∀X3 X2 X4 X1, (r1_incsp_1 X1 (esk9_4 X1 X2 X3 X4) X3 → False) → v6_incsp_1 X1 → v1_incproj X1 → v2_incproj X1 → v3_incproj X1 → v4_incproj X1 → l1_incsp_1 X1 → m1_subset_1 X4 (u2_incsp_1 X1) → m1_subset_1 X3 (u2_incsp_1 X1) → m1_subset_1 X2 (u2_incsp_1 X1) → r1_projred2 X1 X2 X3 X4 → False) → (∀X3 X2 X4 X1, (r1_incsp_1 X1 (esk9_4 X1 X2 X3 X4) X4 → False) → v6_incsp_1 X1 → v1_incproj X1 → v2_incproj X1 → v3_incproj X1 → v4_incproj X1 → l1_incsp_1 X1 → m1_subset_1 X4 (u2_incsp_1 X1) → m1_subset_1 X3 (u2_incsp_1 X1) → m1_subset_1 X2 (u2_incsp_1 X1) → r1_projred2 X1 X2 X3 X4 → False) → (∀X4 X5 X3 X2 X1, (r1_incsp_1 X1 X2 X3 → False) → l1_incsp_1 X1 → m1_subset_1 X5 (u1_incsp_1 X1) → m1_subset_1 X4 (u1_incsp_1 X1) → m1_subset_1 X3 (u2_incsp_1 X1) → m1_subset_1 X2 (u1_incsp_1 X1) → r4_incsp_1 X1 (k8_domain_1 (u1_incsp_1 X1) X2 X4 X5) X3 → False) → (∀X4 X5 X3 X2 X1, (r1_incsp_1 X1 X2 X3 → False) → l1_incsp_1 X1 → m1_subset_1 X5 (u1_incsp_1 X1) → m1_subset_1 X4 (u1_incsp_1 X1) → m1_subset_1 X3 (u2_incsp_1 X1) → m1_subset_1 X2 (u1_incsp_1 X1) → r4_incsp_1 X1 (k8_domain_1 (u1_incsp_1 X1) X4 X2 X5) X3 → False) → (∀X4 X5 X3 X2 X1, (r1_incsp_1 X1 X2 X3 → False) → l1_incsp_1 X1 → m1_subset_1 X5 (u1_incsp_1 X1) → m1_subset_1 X4 (u1_incsp_1 X1) → m1_subset_1 X3 (u2_incsp_1 X1) → m1_subset_1 X2 (u1_incsp_1 X1) → r4_incsp_1 X1 (k8_domain_1 (u1_incsp_1 X1) X4 X5 X2) X3 → False) → (∀X3 X2 X4 X1, (m1_subset_1 (esk9_4 X1 X2 X3 X4) (u1_incsp_1 X1) → False) → v6_incsp_1 X1 → v1_incproj X1 → v2_incproj X1 → v3_incproj X1 → v4_incproj X1 → l1_incsp_1 X1 → m1_subset_1 X4 (u2_incsp_1 X1) → m1_subset_1 X3 (u2_incsp_1 X1) → m1_subset_1 X2 (u2_incsp_1 X1) → r1_projred2 X1 X2 X3 X4 → False) → (∀X5 X3 X2 X4 X1, (r4_incsp_1 X1 (k8_domain_1 (u1_incsp_1 X1) X2 X4 X5) X3 → False) → l1_incsp_1 X1 → r1_incsp_1 X1 X5 X3 → r1_incsp_1 X1 X4 X3 → r1_incsp_1 X1 X2 X3 → m1_subset_1 X5 (u1_incsp_1 X1) → m1_subset_1 X4 (u1_incsp_1 X1) → m1_subset_1 X3 (u2_incsp_1 X1) → m1_subset_1 X2 (u1_incsp_1 X1) → False) → (∀X2 X3 X4 X1, (m1_subset_1 (k1_projred1 X1 X2 X3 X4) (k1_zfmisc_1 (k2_zfmisc_1 (u1_incsp_1 X1) (u1_incsp_1 X1))) → False) → v6_incsp_1 X1 → v1_incproj X1 → v2_incproj X1 → v3_incproj X1 → v4_incproj X1 → v5_incproj X1 → v9_incproj X1 → l1_incsp_1 X1 → m1_subset_1 X4 (u1_incsp_1 X1) → m1_subset_1 X3 (u2_incsp_1 X1) → m1_subset_1 X2 (u2_incsp_1 X1) → False) → (∀X1 X3 X4 X5 X2, (r1_projred2 X2 X3 X4 X5 → False) → v6_incsp_1 X2 → v1_incproj X2 → v2_incproj X2 → v3_incproj X2 → v4_incproj X2 → l1_incsp_1 X2 → r1_incsp_1 X2 X1 X5 → r1_incsp_1 X2 X1 X4 → r1_incsp_1 X2 X1 X3 → m1_subset_1 X5 (u2_incsp_1 X2) → m1_subset_1 X4 (u2_incsp_1 X2) → m1_subset_1 X3 (u2_incsp_1 X2) → m1_subset_1 X1 (u1_incsp_1 X2) → False) → (∀X2 X3 X4 X1, (v1_funct_1 (k1_projred1 X1 X2 X3 X4) → False) → v6_incsp_1 X1 → v1_incproj X1 → v2_incproj X1 → v3_incproj X1 → v4_incproj X1 → v5_incproj X1 → v9_incproj X1 → l1_incsp_1 X1 → m1_subset_1 X4 (u1_incsp_1 X1) → m1_subset_1 X3 (u2_incsp_1 X1) → m1_subset_1 X2 (u2_incsp_1 X1) → False) → (∀X4 X3 X2 X1, (v1_xboole_0 X1 → False) → (m1_subset_1 (k8_domain_1 X1 X2 X3 X4) (k1_zfmisc_1 X1) → False) → m1_subset_1 X4 X1 → m1_subset_1 X3 X1 → m1_subset_1 X2 X1 → False) → (∀X4 X3 X2 X1, (r4_incsp_1 X1 (k7_domain_1 (u1_incsp_1 X1) X2 X4) X3 → False) → l1_incsp_1 X1 → r1_incsp_1 X1 X4 X3 → r1_incsp_1 X1 X2 X3 → m1_subset_1 X4 (u1_incsp_1 X1) → m1_subset_1 X3 (u2_incsp_1 X1) → m1_subset_1 X2 (u1_incsp_1 X1) → False) → (∀X4 X3 X2 X1, (r1_incsp_1 X1 X2 X3 → False) → l1_incsp_1 X1 → m1_subset_1 X4 (u1_incsp_1 X1) → m1_subset_1 X3 (u2_incsp_1 X1) → m1_subset_1 X2 (u1_incsp_1 X1) → r4_incsp_1 X1 (k7_domain_1 (u1_incsp_1 X1) X2 X4) X3 → False) → (∀X4 X3 X2 X1, (r1_incsp_1 X1 X2 X3 → False) → l1_incsp_1 X1 → m1_subset_1 X4 (u1_incsp_1 X1) → m1_subset_1 X3 (u2_incsp_1 X1) → m1_subset_1 X2 (u1_incsp_1 X1) → r4_incsp_1 X1 (k7_domain_1 (u1_incsp_1 X1) X4 X2) X3 → False) → (∀X4 X3 X2 X1, ((k8_domain_1 X1 X2 X3 X4) = (k1_enumset1 X2 X3 X4) → False) → (v1_xboole_0 X1 → False) → m1_subset_1 X4 X1 → m1_subset_1 X3 X1 → m1_subset_1 X2 X1 → False) → (∀X2 X3 X1, (r1_incsp_1 X1 (esk13_3 X1 X2 X3) X2 → False) → v6_incsp_1 X1 → v1_incproj X1 → v2_incproj X1 → v3_incproj X1 → v4_incproj X1 → v5_incproj X1 → l1_incsp_1 X1 → m1_subset_1 X3 (u2_incsp_1 X1) → m1_subset_1 X2 (u2_incsp_1 X1) → False) → (∀X2 X3 X1, (r1_incsp_1 X1 (esk13_3 X1 X2 X3) X3 → False) → v6_incsp_1 X1 → v1_incproj X1 → v2_incproj X1 → v3_incproj X1 → v4_incproj X1 → v5_incproj X1 → l1_incsp_1 X1 → m1_subset_1 X3 (u2_incsp_1 X1) → m1_subset_1 X2 (u2_incsp_1 X1) → False) → (∀X1 X2, (v5_incproj X2 → False) → v6_incsp_1 X2 → v1_incproj X2 → v2_incproj X2 → v3_incproj X2 → v4_incproj X2 → l1_incsp_1 X2 → m1_subset_1 X1 (u1_incsp_1 X2) → r1_incsp_1 X2 X1 (esk14_1 X2) → r1_incsp_1 X2 X1 (esk15_1 X2) → False) → (∀X2 X3 X1, (m1_subset_1 (esk13_3 X1 X2 X3) (u1_incsp_1 X1) → False) → v6_incsp_1 X1 → v1_incproj X1 → v2_incproj X1 → v3_incproj X1 → v4_incproj X1 → v5_incproj X1 → l1_incsp_1 X1 → m1_subset_1 X3 (u2_incsp_1 X1) → m1_subset_1 X2 (u2_incsp_1 X1) → False) → (∀X3 X2 X1, (r1_incsp_1 X1 X2 (esk10_3 X1 X2 X3) → False) → v6_incsp_1 X1 → l1_incsp_1 X1 → m1_subset_1 X3 (u1_incsp_1 X1) → m1_subset_1 X2 (u1_incsp_1 X1) → False) → (∀X3 X2 X1, (r1_incsp_1 X1 X2 (esk10_3 X1 X3 X2) → False) → v6_incsp_1 X1 → l1_incsp_1 X1 → m1_subset_1 X3 (u1_incsp_1 X1) → m1_subset_1 X2 (u1_incsp_1 X1) → False) → (∀X1 X2, (v6_incsp_1 X2 → False) → l1_incsp_1 X2 → m1_subset_1 X1 (u2_incsp_1 X2) → r1_incsp_1 X2 (esk11_1 X2) X1 → r1_incsp_1 X2 (esk12_1 X2) X1 → False) → (∀X3 X2 X1, (m1_subset_1 (esk10_3 X1 X2 X3) (u2_incsp_1 X1) → False) → v6_incsp_1 X1 → l1_incsp_1 X1 → m1_subset_1 X3 (u1_incsp_1 X1) → m1_subset_1 X2 (u1_incsp_1 X1) → False) → (∀X2 X3 X1, (v1_xboole_0 X1 → False) → (m1_subset_1 (k7_domain_1 X1 X2 X3) (k1_zfmisc_1 X1) → False) → m1_subset_1 X3 X1 → m1_subset_1 X2 X1 → False) → (∀X2 X3 X1, ((k7_domain_1 X1 X2 X3) = (k7_domain_1 X1 X3 X2) → False) → (v1_xboole_0 X1 → False) → m1_subset_1 X3 X1 → m1_subset_1 X2 X1 → False) → (∀X3 X1 X2, (v5_relat_1 X1 X2 → False) → m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 X3 X2)) → False) → (∀X3 X1 X2, (v4_relat_1 X1 X2 → False) → m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 X2 X3)) → False) → (∀X1 X3 X2, (v1_xboole_0 X2 → False) → v1_xboole_0 X1 → m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 X1 X3)) → False) → (∀X1 X3 X2, (v1_xboole_0 X2 → False) → v1_xboole_0 X1 → m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 X3 X1)) → False) → (∀X2 X3 X1, ((k7_domain_1 X1 X2 X3) = (k2_tarski X2 X3) → False) → (v1_xboole_0 X1 → False) → m1_subset_1 X3 X1 → m1_subset_1 X2 X1 → False) → (∀X3 X2 X1, (v1_relat_1 X1 → False) → m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 X2 X3)) → False) → (∀X1, (v5_incproj X1 → False) → (m1_subset_1 (esk15_1 X1) (u2_incsp_1 X1) → False) → v6_incsp_1 X1 → v1_incproj X1 → v2_incproj X1 → v3_incproj X1 → v4_incproj X1 → l1_incsp_1 X1 → False) → (∀X1, (v5_incproj X1 → False) → (m1_subset_1 (esk14_1 X1) (u2_incsp_1 X1) → False) → v6_incsp_1 X1 → v1_incproj X1 → v2_incproj X1 → v3_incproj X1 → v4_incproj X1 → l1_incsp_1 X1 → False) → (∀X1 X2, (v2_funct_1 (k3_relat_1 X1 X2) → False) → v1_funct_1 X2 → v1_funct_1 X1 → v1_relat_1 X2 → v1_relat_1 X1 → v2_funct_1 X2 → v2_funct_1 X1 → False) → (∀X1 X2, (v1_relat_1 (k3_relat_1 X1 X2) → False) → v1_funct_1 X2 → v1_funct_1 X1 → v1_relat_1 X2 → v1_relat_1 X1 → v2_funct_1 X2 → v2_funct_1 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 X3, v1_xboole_0 X3 → r2_hidden X1 X2 → m1_subset_1 X2 (k1_zfmisc_1 X3) → False) → (∀X1 X2, (v4_funct_1 (k2_tarski X1 X2) → False) → v1_funct_1 X2 → v1_funct_1 X1 → v1_relat_1 X2 → v1_relat_1 X1 → False) → (∀X1 X2, (v1_relat_1 (k3_relat_1 X1 X2) → False) → v1_funct_1 X2 → v1_funct_1 X1 → v1_relat_1 X2 → v1_relat_1 X1 → False) → (∀X1 X2, (v1_funct_1 (k3_relat_1 X1 X2) → False) → v1_funct_1 X2 → v1_funct_1 X1 → v1_relat_1 X2 → v1_relat_1 X1 → False) → (∀X1 X2, (v1_funct_1 X2 → False) → v1_funct_1 X1 → v1_relat_1 X1 → m1_subset_1 X2 (k1_zfmisc_1 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, (v4_funct_1 X2 → False) → v4_funct_1 X1 → m1_subset_1 X2 (k1_zfmisc_1 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, (v6_incsp_1 X1 → False) → (m1_subset_1 (esk12_1 X1) (u1_incsp_1 X1) → False) → l1_incsp_1 X1 → False) → (∀X1, (v6_incsp_1 X1 → False) → (m1_subset_1 (esk11_1 X1) (u1_incsp_1 X1) → False) → l1_incsp_1 X1 → False) → (∀X2 X1, (m1_subset_1 X1 X2 → False) → r2_hidden X1 X2 → False) → (∀X2 X1, (v1_relat_1 X1 → False) → v4_funct_1 X2 → m1_subset_1 X1 X2 → False) → (∀X2 X1, (v1_funct_1 X1 → False) → v4_funct_1 X2 → m1_subset_1 X1 X2 → False) → (∀X1 X2, v1_xboole_0 X2 → r2_hidden X1 X2 → False) → (∀X1, (v3_funct_1 X1 → False) → v1_funct_1 X1 → v1_relat_1 X1 → v1_zfmisc_1 X1 → False) → (∀X1, (v3_funct_1 X1 → False) → v1_funct_1 X1 → v1_relat_1 X1 → v1_zfmisc_1 X1 → False) → (∀X1, (v3_funct_1 X1 → False) → v1_xboole_0 X1 → v1_funct_1 X1 → v1_relat_1 X1 → False) → (∀X1, (v2_funct_1 X1 → False) → v1_xboole_0 X1 → v1_funct_1 X1 → v1_relat_1 X1 → False) → (∀X1, l1_incsp_1 X1 → v1_xboole_0 (u2_incsp_1 X1) → False) → (∀X1, l1_incsp_1 X1 → v1_xboole_0 (u1_incsp_1 X1) → False) → (∀X2 X1, (X1 = X2 → False) → v1_xboole_0 X2 → v1_xboole_0 X1 → False) → (∀X1, (v4_funct_1 X1 → False) → v1_xboole_0 X1 → False) → (∀X1, (v1_funct_1 X1 → False) → v1_xboole_0 X1 → False) → (∀X1, (X1 = k1_xboole_0 → False) → v1_xboole_0 X1 → False) → (r1_projred2 esk1_0 esk5_0 esk6_0 esk8_0 → False) → (r1_projred2 esk1_0 esk4_0 esk5_0 esk6_0 → False) → (r1_incsp_1 esk1_0 esk3_0 esk7_0 → False) → (r1_incsp_1 esk1_0 esk3_0 esk6_0 → False) → (r1_incsp_1 esk1_0 esk3_0 esk5_0 → False) → (r1_incsp_1 esk1_0 esk2_0 esk6_0 → False) → (r1_incsp_1 esk1_0 esk2_0 esk4_0 → False) → (v3_funct_1 esk21_0 → False) → (v1_xboole_0 esk23_0 → False) → (esk7_0 = esk4_0 → False) → (esk3_0 = esk2_0 → False) → ((r1_projred2 esk1_0 esk4_0 esk6_0 esk7_0 → False) → False) → (∀X2 X1, (m1_subset_1 (esk19_2 X1 X2) (k1_zfmisc_1 (k2_zfmisc_1 X1 X2)) → False) → False) → ((r1_incsp_1 esk1_0 esk3_0 esk8_0 → False) → False) → ((r1_incsp_1 esk1_0 esk2_0 esk8_0 → False) → False) → (∀X2 X1, (v5_relat_1 (esk22_2 X1 X2) X2 → False) → False) → (∀X2 X1, (v5_relat_1 (esk19_2 X1 X2) X2 → False) → False) → (∀X1 X2, (v4_relat_1 (esk22_2 X1 X2) X1 → False) → False) → (∀X1 X2, (v4_relat_1 (esk19_2 X1 X2) X1 → False) → False) → (∀X1 X2, (v1_relat_1 (esk22_2 X1 X2) → False) → False) → (∀X1 X2, (v1_relat_1 (esk19_2 X1 X2) → False) → False) → (∀X1 X2, (v1_relat_1 (k3_relat_1 X1 X2) → False) → False) → (∀X1 X2, (v1_funct_1 (esk22_2 X1 X2) → False) → False) → (∀X1 X2, (v1_xboole_0 (esk19_2 X1 X2) → False) → False) → (∀X2 X1, ((k2_tarski X1 X2) = (k2_tarski X2 X1) → False) → False) → (∀X1, (m1_subset_1 (esk17_1 X1) X1 → False) → False) → ((m1_subset_1 esk8_0 (u2_incsp_1 esk1_0) → False) → False) → ((m1_subset_1 esk7_0 (u2_incsp_1 esk1_0) → False) → False) → ((m1_subset_1 esk6_0 (u2_incsp_1 esk1_0) → False) → False) → ((m1_subset_1 esk5_0 (u2_incsp_1 esk1_0) → False) → False) → ((m1_subset_1 esk4_0 (u2_incsp_1 esk1_0) → False) → False) → ((m1_subset_1 esk3_0 (u1_incsp_1 esk1_0) → False) → False) → ((m1_subset_1 esk2_0 (u1_incsp_1 esk1_0) → False) → False) → (∀X1, (r1_tarski X1 X1 → False) → False) → ((v4_funct_1 esk23_0 → False) → False) → ((v2_funct_1 esk20_0 → False) → False) → ((v1_relat_1 esk21_0 → False) → False) → ((v1_relat_1 esk20_0 → False) → False) → ((v1_relat_1 esk18_0 → False) → False) → ((v1_funct_1 esk21_0 → False) → False) → ((v1_funct_1 esk20_0 → False) → False) → ((v1_funct_1 esk18_0 → False) → False) → ((l1_incsp_1 esk16_0 → False) → False) → ((l1_incsp_1 esk1_0 → False) → False) → ((v9_incproj esk1_0 → False) → False) → ((v5_incproj esk1_0 → False) → False) → ((v4_incproj esk1_0 → False) → False) → ((v3_incproj esk1_0 → False) → False) → ((v2_incproj esk1_0 → False) → False) → ((v1_incproj esk1_0 → False) → False) → ((v6_incsp_1 esk1_0 → False) → False) → False