TSTP Solution File: LAT370+1 by SuperZenon---0.0.1
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%------------------------------------------------------------------------------
% File : SuperZenon---0.0.1
% Problem : LAT370+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_super_zenon -p0 -itptp -om -max-time %d %s
% Computer : n021.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sun Jul 17 06:58:01 EDT 2022
% Result : Theorem 6.49s 6.69s
% Output : Proof 7.23s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LAT370+1 : TPTP v8.1.0. Released v3.4.0.
% 0.03/0.13 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s
% 0.12/0.34 % Computer : n021.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Wed Jun 29 02:29:41 EDT 2022
% 0.12/0.34 % CPUTime :
% 6.49/6.69 % SZS status Theorem
% 6.49/6.69 (* PROOF-FOUND *)
% 6.49/6.69 (* BEGIN-PROOF *)
% 6.49/6.69 % SZS output start Proof
% 6.49/6.69 1. (v2_orders_2 T_0) (-. (v2_orders_2 T_0)) ### Axiom
% 6.49/6.69 2. (v3_orders_2 T_0) (-. (v3_orders_2 T_0)) ### Axiom
% 6.49/6.69 3. (v4_orders_2 T_0) (-. (v4_orders_2 T_0)) ### Axiom
% 6.49/6.69 4. (v1_lattice3 T_0) (-. (v1_lattice3 T_0)) ### Axiom
% 6.49/6.69 5. (v2_lattice3 T_0) (-. (v2_lattice3 T_0)) ### Axiom
% 6.49/6.69 6. (v3_lattice3 T_0) (-. (v3_lattice3 T_0)) ### Axiom
% 6.49/6.69 7. (l1_orders_2 T_0) (-. (l1_orders_2 T_0)) ### Axiom
% 6.49/6.69 8. (v1_funct_1 T_1) (-. (v1_funct_1 T_1)) ### Axiom
% 6.49/6.69 9. (v1_funct_2 T_1 (u1_struct_0 T_0) (u1_struct_0 T_0)) (-. (v1_funct_2 T_1 (u1_struct_0 T_0) (u1_struct_0 T_0))) ### Axiom
% 6.49/6.69 10. (v7_waybel_1 T_1 T_0) (-. (v7_waybel_1 T_1 T_0)) ### Axiom
% 6.49/6.69 11. (m1_relset_1 T_1 (u1_struct_0 T_0) (u1_struct_0 T_0)) (-. (m1_relset_1 T_1 (u1_struct_0 T_0) (u1_struct_0 T_0))) ### Axiom
% 6.49/6.69 12. (-. (m2_relset_1 T_1 (u1_struct_0 T_0) (u1_struct_0 T_0))) (m1_relset_1 T_1 (u1_struct_0 T_0) (u1_struct_0 T_0)) ### Definition-Pseudo(m2_relset_1) 11
% 6.49/6.69 13. (v2_orders_2 T_0) (-. (v2_orders_2 T_0)) ### Axiom
% 6.49/6.69 14. (v3_orders_2 T_0) (-. (v3_orders_2 T_0)) ### Axiom
% 6.49/6.69 15. (v4_orders_2 T_0) (-. (v4_orders_2 T_0)) ### Axiom
% 6.49/6.69 16. (v1_lattice3 T_0) (-. (v1_lattice3 T_0)) ### Axiom
% 6.49/6.69 17. (v2_lattice3 T_0) (-. (v2_lattice3 T_0)) ### Axiom
% 6.49/6.69 18. (v3_lattice3 T_0) (-. (v3_lattice3 T_0)) ### Axiom
% 6.49/6.69 19. (l1_orders_2 T_0) (-. (l1_orders_2 T_0)) ### Axiom
% 6.49/6.69 20. (v1_funct_1 T_1) (-. (v1_funct_1 T_1)) ### Axiom
% 6.49/6.69 21. (v1_funct_2 T_1 (u1_struct_0 T_0) (u1_struct_0 T_0)) (-. (v1_funct_2 T_1 (u1_struct_0 T_0) (u1_struct_0 T_0))) ### Axiom
% 6.49/6.69 22. (v7_waybel_1 T_1 T_0) (-. (v7_waybel_1 T_1 T_0)) ### Axiom
% 6.49/6.69 23. (l1_orders_2 T_0) (-. (l1_orders_2 T_0)) ### Axiom
% 6.49/6.69 24. (v2_lattice3 T_0) (-. (v2_lattice3 T_0)) ### Axiom
% 6.49/6.69 25. (v3_struct_0 T_0) (-. (v3_struct_0 T_0)) ### Axiom
% 6.49/6.69 26. ((l1_orders_2 T_0) => ((v2_lattice3 T_0) => (-. (v3_struct_0 T_0)))) (v3_struct_0 T_0) (v2_lattice3 T_0) (l1_orders_2 T_0) ### DisjTree 23 24 25
% 6.49/6.69 27. (All A, ((l1_orders_2 A) => ((v2_lattice3 A) => (-. (v3_struct_0 A))))) (l1_orders_2 T_0) (v2_lattice3 T_0) (v3_struct_0 T_0) ### All 26
% 6.49/6.69 28. (v2_orders_2 T_0) (-. (v2_orders_2 T_0)) ### Axiom
% 6.49/6.69 29. (v3_orders_2 T_0) (-. (v3_orders_2 T_0)) ### Axiom
% 6.49/6.69 30. (v4_orders_2 T_0) (-. (v4_orders_2 T_0)) ### Axiom
% 6.49/6.69 31. (l1_orders_2 T_0) (-. (l1_orders_2 T_0)) ### Axiom
% 6.49/6.69 32. (v1_funct_1 T_1) (-. (v1_funct_1 T_1)) ### Axiom
% 6.49/6.69 33. (v1_funct_2 T_1 (u1_struct_0 T_0) (u1_struct_0 T_0)) (-. (v1_funct_2 T_1 (u1_struct_0 T_0) (u1_struct_0 T_0))) ### Axiom
% 6.49/6.69 34. (v7_waybel_1 T_1 T_0) (-. (v7_waybel_1 T_1 T_0)) ### Axiom
% 6.49/6.69 35. (m1_relset_1 T_1 (u1_struct_0 T_0) (u1_struct_0 T_0)) (-. (m1_relset_1 T_1 (u1_struct_0 T_0) (u1_struct_0 T_0))) ### Axiom
% 6.49/6.69 36. (-. (v2_orders_2 (k2_yellow_2 T_0 T_0 T_1))) (v2_orders_2 (k2_yellow_2 T_0 T_0 T_1)) ### Axiom
% 6.49/6.69 37. ((-. (v3_struct_0 (k2_yellow_2 T_0 T_0 T_1))) /\ ((v1_orders_2 (k2_yellow_2 T_0 T_0 T_1)) /\ ((v2_orders_2 (k2_yellow_2 T_0 T_0 T_1)) /\ ((v3_orders_2 (k2_yellow_2 T_0 T_0 T_1)) /\ ((v4_orders_2 (k2_yellow_2 T_0 T_0 T_1)) /\ ((v4_yellow_0 (k2_yellow_2 T_0 T_0 T_1) T_0) /\ ((v5_yellow_0 (k2_yellow_2 T_0 T_0 T_1) T_0) /\ ((v7_yellow_0 (k2_yellow_2 T_0 T_0 T_1) T_0) /\ (v3_waybel_0 (k2_yellow_2 T_0 T_0 T_1) T_0))))))))) (-. (v2_orders_2 (k2_yellow_2 T_0 T_0 T_1))) ### ConjTree 36
% 6.49/6.69 38. (((-. (v3_struct_0 T_0)) /\ ((v2_orders_2 T_0) /\ ((v3_orders_2 T_0) /\ ((v4_orders_2 T_0) /\ ((l1_orders_2 T_0) /\ ((v1_funct_1 T_1) /\ ((v1_funct_2 T_1 (u1_struct_0 T_0) (u1_struct_0 T_0)) /\ ((v7_waybel_1 T_1 T_0) /\ (m1_relset_1 T_1 (u1_struct_0 T_0) (u1_struct_0 T_0)))))))))) => ((-. (v3_struct_0 (k2_yellow_2 T_0 T_0 T_1))) /\ ((v1_orders_2 (k2_yellow_2 T_0 T_0 T_1)) /\ ((v2_orders_2 (k2_yellow_2 T_0 T_0 T_1)) /\ ((v3_orders_2 (k2_yellow_2 T_0 T_0 T_1)) /\ ((v4_orders_2 (k2_yellow_2 T_0 T_0 T_1)) /\ ((v4_yellow_0 (k2_yellow_2 T_0 T_0 T_1) T_0) /\ ((v5_yellow_0 (k2_yellow_2 T_0 T_0 T_1) T_0) /\ ((v7_yellow_0 (k2_yellow_2 T_0 T_0 T_1) T_0) /\ (v3_waybel_0 (k2_yellow_2 T_0 T_0 T_1) T_0)))))))))) (-. (v2_orders_2 (k2_yellow_2 T_0 T_0 T_1))) (m1_relset_1 T_1 (u1_struct_0 T_0) (u1_struct_0 T_0)) (v7_waybel_1 T_1 T_0) (v1_funct_2 T_1 (u1_struct_0 T_0) (u1_struct_0 T_0)) (v1_funct_1 T_1) (v4_orders_2 T_0) (v3_orders_2 T_0) (v2_orders_2 T_0) (v2_lattice3 T_0) (l1_orders_2 T_0) (All A, ((l1_orders_2 A) => ((v2_lattice3 A) => (-. (v3_struct_0 A))))) ### DisjTree 27 28 29 30 31 32 33 34 35 37
% 6.49/6.69 39. (All B, (((-. (v3_struct_0 T_0)) /\ ((v2_orders_2 T_0) /\ ((v3_orders_2 T_0) /\ ((v4_orders_2 T_0) /\ ((l1_orders_2 T_0) /\ ((v1_funct_1 B) /\ ((v1_funct_2 B (u1_struct_0 T_0) (u1_struct_0 T_0)) /\ ((v7_waybel_1 B T_0) /\ (m1_relset_1 B (u1_struct_0 T_0) (u1_struct_0 T_0)))))))))) => ((-. (v3_struct_0 (k2_yellow_2 T_0 T_0 B))) /\ ((v1_orders_2 (k2_yellow_2 T_0 T_0 B)) /\ ((v2_orders_2 (k2_yellow_2 T_0 T_0 B)) /\ ((v3_orders_2 (k2_yellow_2 T_0 T_0 B)) /\ ((v4_orders_2 (k2_yellow_2 T_0 T_0 B)) /\ ((v4_yellow_0 (k2_yellow_2 T_0 T_0 B) T_0) /\ ((v5_yellow_0 (k2_yellow_2 T_0 T_0 B) T_0) /\ ((v7_yellow_0 (k2_yellow_2 T_0 T_0 B) T_0) /\ (v3_waybel_0 (k2_yellow_2 T_0 T_0 B) T_0))))))))))) (All A, ((l1_orders_2 A) => ((v2_lattice3 A) => (-. (v3_struct_0 A))))) (l1_orders_2 T_0) (v2_lattice3 T_0) (v2_orders_2 T_0) (v3_orders_2 T_0) (v4_orders_2 T_0) (v1_funct_1 T_1) (v1_funct_2 T_1 (u1_struct_0 T_0) (u1_struct_0 T_0)) (v7_waybel_1 T_1 T_0) (m1_relset_1 T_1 (u1_struct_0 T_0) (u1_struct_0 T_0)) (-. (v2_orders_2 (k2_yellow_2 T_0 T_0 T_1))) ### All 38
% 6.49/6.69 40. (All A, (All B, (((-. (v3_struct_0 A)) /\ ((v2_orders_2 A) /\ ((v3_orders_2 A) /\ ((v4_orders_2 A) /\ ((l1_orders_2 A) /\ ((v1_funct_1 B) /\ ((v1_funct_2 B (u1_struct_0 A) (u1_struct_0 A)) /\ ((v7_waybel_1 B A) /\ (m1_relset_1 B (u1_struct_0 A) (u1_struct_0 A)))))))))) => ((-. (v3_struct_0 (k2_yellow_2 A A B))) /\ ((v1_orders_2 (k2_yellow_2 A A B)) /\ ((v2_orders_2 (k2_yellow_2 A A B)) /\ ((v3_orders_2 (k2_yellow_2 A A B)) /\ ((v4_orders_2 (k2_yellow_2 A A B)) /\ ((v4_yellow_0 (k2_yellow_2 A A B) A) /\ ((v5_yellow_0 (k2_yellow_2 A A B) A) /\ ((v7_yellow_0 (k2_yellow_2 A A B) A) /\ (v3_waybel_0 (k2_yellow_2 A A B) A)))))))))))) (-. (v2_orders_2 (k2_yellow_2 T_0 T_0 T_1))) (m1_relset_1 T_1 (u1_struct_0 T_0) (u1_struct_0 T_0)) (v7_waybel_1 T_1 T_0) (v1_funct_2 T_1 (u1_struct_0 T_0) (u1_struct_0 T_0)) (v1_funct_1 T_1) (v4_orders_2 T_0) (v3_orders_2 T_0) (v2_orders_2 T_0) (v2_lattice3 T_0) (l1_orders_2 T_0) (All A, ((l1_orders_2 A) => ((v2_lattice3 A) => (-. (v3_struct_0 A))))) ### All 39
% 6.49/6.69 41. (v2_orders_2 T_0) (-. (v2_orders_2 T_0)) ### Axiom
% 6.49/6.69 42. (v3_orders_2 T_0) (-. (v3_orders_2 T_0)) ### Axiom
% 6.49/6.69 43. (v4_orders_2 T_0) (-. (v4_orders_2 T_0)) ### Axiom
% 6.49/6.69 44. (l1_orders_2 T_0) (-. (l1_orders_2 T_0)) ### Axiom
% 6.49/6.69 45. (v1_funct_1 T_1) (-. (v1_funct_1 T_1)) ### Axiom
% 6.49/6.69 46. (v1_funct_2 T_1 (u1_struct_0 T_0) (u1_struct_0 T_0)) (-. (v1_funct_2 T_1 (u1_struct_0 T_0) (u1_struct_0 T_0))) ### Axiom
% 6.49/6.69 47. (v7_waybel_1 T_1 T_0) (-. (v7_waybel_1 T_1 T_0)) ### Axiom
% 6.49/6.69 48. (m1_relset_1 T_1 (u1_struct_0 T_0) (u1_struct_0 T_0)) (-. (m1_relset_1 T_1 (u1_struct_0 T_0) (u1_struct_0 T_0))) ### Axiom
% 6.49/6.69 49. (-. (v3_orders_2 (k2_yellow_2 T_0 T_0 T_1))) (v3_orders_2 (k2_yellow_2 T_0 T_0 T_1)) ### Axiom
% 6.49/6.69 50. ((-. (v3_struct_0 (k2_yellow_2 T_0 T_0 T_1))) /\ ((v1_orders_2 (k2_yellow_2 T_0 T_0 T_1)) /\ ((v2_orders_2 (k2_yellow_2 T_0 T_0 T_1)) /\ ((v3_orders_2 (k2_yellow_2 T_0 T_0 T_1)) /\ ((v4_orders_2 (k2_yellow_2 T_0 T_0 T_1)) /\ ((v4_yellow_0 (k2_yellow_2 T_0 T_0 T_1) T_0) /\ ((v5_yellow_0 (k2_yellow_2 T_0 T_0 T_1) T_0) /\ ((v7_yellow_0 (k2_yellow_2 T_0 T_0 T_1) T_0) /\ (v3_waybel_0 (k2_yellow_2 T_0 T_0 T_1) T_0))))))))) (-. (v3_orders_2 (k2_yellow_2 T_0 T_0 T_1))) ### ConjTree 49
% 6.49/6.69 51. (((-. (v3_struct_0 T_0)) /\ ((v2_orders_2 T_0) /\ ((v3_orders_2 T_0) /\ ((v4_orders_2 T_0) /\ ((l1_orders_2 T_0) /\ ((v1_funct_1 T_1) /\ ((v1_funct_2 T_1 (u1_struct_0 T_0) (u1_struct_0 T_0)) /\ ((v7_waybel_1 T_1 T_0) /\ (m1_relset_1 T_1 (u1_struct_0 T_0) (u1_struct_0 T_0)))))))))) => ((-. (v3_struct_0 (k2_yellow_2 T_0 T_0 T_1))) /\ ((v1_orders_2 (k2_yellow_2 T_0 T_0 T_1)) /\ ((v2_orders_2 (k2_yellow_2 T_0 T_0 T_1)) /\ ((v3_orders_2 (k2_yellow_2 T_0 T_0 T_1)) /\ ((v4_orders_2 (k2_yellow_2 T_0 T_0 T_1)) /\ ((v4_yellow_0 (k2_yellow_2 T_0 T_0 T_1) T_0) /\ ((v5_yellow_0 (k2_yellow_2 T_0 T_0 T_1) T_0) /\ ((v7_yellow_0 (k2_yellow_2 T_0 T_0 T_1) T_0) /\ (v3_waybel_0 (k2_yellow_2 T_0 T_0 T_1) T_0)))))))))) (-. (v3_orders_2 (k2_yellow_2 T_0 T_0 T_1))) (m1_relset_1 T_1 (u1_struct_0 T_0) (u1_struct_0 T_0)) (v7_waybel_1 T_1 T_0) (v1_funct_2 T_1 (u1_struct_0 T_0) (u1_struct_0 T_0)) (v1_funct_1 T_1) (v4_orders_2 T_0) (v3_orders_2 T_0) (v2_orders_2 T_0) (v2_lattice3 T_0) (l1_orders_2 T_0) (All A, ((l1_orders_2 A) => ((v2_lattice3 A) => (-. (v3_struct_0 A))))) ### DisjTree 27 41 42 43 44 45 46 47 48 50
% 6.59/6.81 52. (All B, (((-. (v3_struct_0 T_0)) /\ ((v2_orders_2 T_0) /\ ((v3_orders_2 T_0) /\ ((v4_orders_2 T_0) /\ ((l1_orders_2 T_0) /\ ((v1_funct_1 B) /\ ((v1_funct_2 B (u1_struct_0 T_0) (u1_struct_0 T_0)) /\ ((v7_waybel_1 B T_0) /\ (m1_relset_1 B (u1_struct_0 T_0) (u1_struct_0 T_0)))))))))) => ((-. (v3_struct_0 (k2_yellow_2 T_0 T_0 B))) /\ ((v1_orders_2 (k2_yellow_2 T_0 T_0 B)) /\ ((v2_orders_2 (k2_yellow_2 T_0 T_0 B)) /\ ((v3_orders_2 (k2_yellow_2 T_0 T_0 B)) /\ ((v4_orders_2 (k2_yellow_2 T_0 T_0 B)) /\ ((v4_yellow_0 (k2_yellow_2 T_0 T_0 B) T_0) /\ ((v5_yellow_0 (k2_yellow_2 T_0 T_0 B) T_0) /\ ((v7_yellow_0 (k2_yellow_2 T_0 T_0 B) T_0) /\ (v3_waybel_0 (k2_yellow_2 T_0 T_0 B) T_0))))))))))) (All A, ((l1_orders_2 A) => ((v2_lattice3 A) => (-. (v3_struct_0 A))))) (l1_orders_2 T_0) (v2_lattice3 T_0) (v2_orders_2 T_0) (v3_orders_2 T_0) (v4_orders_2 T_0) (v1_funct_1 T_1) (v1_funct_2 T_1 (u1_struct_0 T_0) (u1_struct_0 T_0)) (v7_waybel_1 T_1 T_0) (m1_relset_1 T_1 (u1_struct_0 T_0) (u1_struct_0 T_0)) (-. (v3_orders_2 (k2_yellow_2 T_0 T_0 T_1))) ### All 51
% 6.59/6.81 53. (All A, (All B, (((-. (v3_struct_0 A)) /\ ((v2_orders_2 A) /\ ((v3_orders_2 A) /\ ((v4_orders_2 A) /\ ((l1_orders_2 A) /\ ((v1_funct_1 B) /\ ((v1_funct_2 B (u1_struct_0 A) (u1_struct_0 A)) /\ ((v7_waybel_1 B A) /\ (m1_relset_1 B (u1_struct_0 A) (u1_struct_0 A)))))))))) => ((-. (v3_struct_0 (k2_yellow_2 A A B))) /\ ((v1_orders_2 (k2_yellow_2 A A B)) /\ ((v2_orders_2 (k2_yellow_2 A A B)) /\ ((v3_orders_2 (k2_yellow_2 A A B)) /\ ((v4_orders_2 (k2_yellow_2 A A B)) /\ ((v4_yellow_0 (k2_yellow_2 A A B) A) /\ ((v5_yellow_0 (k2_yellow_2 A A B) A) /\ ((v7_yellow_0 (k2_yellow_2 A A B) A) /\ (v3_waybel_0 (k2_yellow_2 A A B) A)))))))))))) (-. (v3_orders_2 (k2_yellow_2 T_0 T_0 T_1))) (m1_relset_1 T_1 (u1_struct_0 T_0) (u1_struct_0 T_0)) (v7_waybel_1 T_1 T_0) (v1_funct_2 T_1 (u1_struct_0 T_0) (u1_struct_0 T_0)) (v1_funct_1 T_1) (v4_orders_2 T_0) (v3_orders_2 T_0) (v2_orders_2 T_0) (v2_lattice3 T_0) (l1_orders_2 T_0) (All A, ((l1_orders_2 A) => ((v2_lattice3 A) => (-. (v3_struct_0 A))))) ### All 52
% 6.59/6.81 54. (v2_orders_2 T_0) (-. (v2_orders_2 T_0)) ### Axiom
% 6.59/6.81 55. (v3_orders_2 T_0) (-. (v3_orders_2 T_0)) ### Axiom
% 6.59/6.81 56. (v4_orders_2 T_0) (-. (v4_orders_2 T_0)) ### Axiom
% 6.59/6.81 57. (l1_orders_2 T_0) (-. (l1_orders_2 T_0)) ### Axiom
% 6.59/6.81 58. (v1_funct_1 T_1) (-. (v1_funct_1 T_1)) ### Axiom
% 6.59/6.81 59. (v1_funct_2 T_1 (u1_struct_0 T_0) (u1_struct_0 T_0)) (-. (v1_funct_2 T_1 (u1_struct_0 T_0) (u1_struct_0 T_0))) ### Axiom
% 6.59/6.81 60. (v7_waybel_1 T_1 T_0) (-. (v7_waybel_1 T_1 T_0)) ### Axiom
% 6.59/6.81 61. (m1_relset_1 T_1 (u1_struct_0 T_0) (u1_struct_0 T_0)) (-. (m1_relset_1 T_1 (u1_struct_0 T_0) (u1_struct_0 T_0))) ### Axiom
% 6.59/6.81 62. (-. (v4_orders_2 (k2_yellow_2 T_0 T_0 T_1))) (v4_orders_2 (k2_yellow_2 T_0 T_0 T_1)) ### Axiom
% 6.59/6.81 63. ((-. (v3_struct_0 (k2_yellow_2 T_0 T_0 T_1))) /\ ((v1_orders_2 (k2_yellow_2 T_0 T_0 T_1)) /\ ((v2_orders_2 (k2_yellow_2 T_0 T_0 T_1)) /\ ((v3_orders_2 (k2_yellow_2 T_0 T_0 T_1)) /\ ((v4_orders_2 (k2_yellow_2 T_0 T_0 T_1)) /\ ((v4_yellow_0 (k2_yellow_2 T_0 T_0 T_1) T_0) /\ ((v5_yellow_0 (k2_yellow_2 T_0 T_0 T_1) T_0) /\ ((v7_yellow_0 (k2_yellow_2 T_0 T_0 T_1) T_0) /\ (v3_waybel_0 (k2_yellow_2 T_0 T_0 T_1) T_0))))))))) (-. (v4_orders_2 (k2_yellow_2 T_0 T_0 T_1))) ### ConjTree 62
% 6.59/6.81 64. (((-. (v3_struct_0 T_0)) /\ ((v2_orders_2 T_0) /\ ((v3_orders_2 T_0) /\ ((v4_orders_2 T_0) /\ ((l1_orders_2 T_0) /\ ((v1_funct_1 T_1) /\ ((v1_funct_2 T_1 (u1_struct_0 T_0) (u1_struct_0 T_0)) /\ ((v7_waybel_1 T_1 T_0) /\ (m1_relset_1 T_1 (u1_struct_0 T_0) (u1_struct_0 T_0)))))))))) => ((-. (v3_struct_0 (k2_yellow_2 T_0 T_0 T_1))) /\ ((v1_orders_2 (k2_yellow_2 T_0 T_0 T_1)) /\ ((v2_orders_2 (k2_yellow_2 T_0 T_0 T_1)) /\ ((v3_orders_2 (k2_yellow_2 T_0 T_0 T_1)) /\ ((v4_orders_2 (k2_yellow_2 T_0 T_0 T_1)) /\ ((v4_yellow_0 (k2_yellow_2 T_0 T_0 T_1) T_0) /\ ((v5_yellow_0 (k2_yellow_2 T_0 T_0 T_1) T_0) /\ ((v7_yellow_0 (k2_yellow_2 T_0 T_0 T_1) T_0) /\ (v3_waybel_0 (k2_yellow_2 T_0 T_0 T_1) T_0)))))))))) (-. (v4_orders_2 (k2_yellow_2 T_0 T_0 T_1))) (m1_relset_1 T_1 (u1_struct_0 T_0) (u1_struct_0 T_0)) (v7_waybel_1 T_1 T_0) (v1_funct_2 T_1 (u1_struct_0 T_0) (u1_struct_0 T_0)) (v1_funct_1 T_1) (v4_orders_2 T_0) (v3_orders_2 T_0) (v2_orders_2 T_0) (v2_lattice3 T_0) (l1_orders_2 T_0) (All A, ((l1_orders_2 A) => ((v2_lattice3 A) => (-. (v3_struct_0 A))))) ### DisjTree 27 54 55 56 57 58 59 60 61 63
% 6.59/6.81 65. (All B, (((-. (v3_struct_0 T_0)) /\ ((v2_orders_2 T_0) /\ ((v3_orders_2 T_0) /\ ((v4_orders_2 T_0) /\ ((l1_orders_2 T_0) /\ ((v1_funct_1 B) /\ ((v1_funct_2 B (u1_struct_0 T_0) (u1_struct_0 T_0)) /\ ((v7_waybel_1 B T_0) /\ (m1_relset_1 B (u1_struct_0 T_0) (u1_struct_0 T_0)))))))))) => ((-. (v3_struct_0 (k2_yellow_2 T_0 T_0 B))) /\ ((v1_orders_2 (k2_yellow_2 T_0 T_0 B)) /\ ((v2_orders_2 (k2_yellow_2 T_0 T_0 B)) /\ ((v3_orders_2 (k2_yellow_2 T_0 T_0 B)) /\ ((v4_orders_2 (k2_yellow_2 T_0 T_0 B)) /\ ((v4_yellow_0 (k2_yellow_2 T_0 T_0 B) T_0) /\ ((v5_yellow_0 (k2_yellow_2 T_0 T_0 B) T_0) /\ ((v7_yellow_0 (k2_yellow_2 T_0 T_0 B) T_0) /\ (v3_waybel_0 (k2_yellow_2 T_0 T_0 B) T_0))))))))))) (All A, ((l1_orders_2 A) => ((v2_lattice3 A) => (-. (v3_struct_0 A))))) (l1_orders_2 T_0) (v2_lattice3 T_0) (v2_orders_2 T_0) (v3_orders_2 T_0) (v4_orders_2 T_0) (v1_funct_1 T_1) (v1_funct_2 T_1 (u1_struct_0 T_0) (u1_struct_0 T_0)) (v7_waybel_1 T_1 T_0) (m1_relset_1 T_1 (u1_struct_0 T_0) (u1_struct_0 T_0)) (-. (v4_orders_2 (k2_yellow_2 T_0 T_0 T_1))) ### All 64
% 6.59/6.81 66. (All A, (All B, (((-. (v3_struct_0 A)) /\ ((v2_orders_2 A) /\ ((v3_orders_2 A) /\ ((v4_orders_2 A) /\ ((l1_orders_2 A) /\ ((v1_funct_1 B) /\ ((v1_funct_2 B (u1_struct_0 A) (u1_struct_0 A)) /\ ((v7_waybel_1 B A) /\ (m1_relset_1 B (u1_struct_0 A) (u1_struct_0 A)))))))))) => ((-. (v3_struct_0 (k2_yellow_2 A A B))) /\ ((v1_orders_2 (k2_yellow_2 A A B)) /\ ((v2_orders_2 (k2_yellow_2 A A B)) /\ ((v3_orders_2 (k2_yellow_2 A A B)) /\ ((v4_orders_2 (k2_yellow_2 A A B)) /\ ((v4_yellow_0 (k2_yellow_2 A A B) A) /\ ((v5_yellow_0 (k2_yellow_2 A A B) A) /\ ((v7_yellow_0 (k2_yellow_2 A A B) A) /\ (v3_waybel_0 (k2_yellow_2 A A B) A)))))))))))) (-. (v4_orders_2 (k2_yellow_2 T_0 T_0 T_1))) (m1_relset_1 T_1 (u1_struct_0 T_0) (u1_struct_0 T_0)) (v7_waybel_1 T_1 T_0) (v1_funct_2 T_1 (u1_struct_0 T_0) (u1_struct_0 T_0)) (v1_funct_1 T_1) (v4_orders_2 T_0) (v3_orders_2 T_0) (v2_orders_2 T_0) (v2_lattice3 T_0) (l1_orders_2 T_0) (All A, ((l1_orders_2 A) => ((v2_lattice3 A) => (-. (v3_struct_0 A))))) ### All 65
% 6.59/6.81 67. (v2_orders_2 T_0) (-. (v2_orders_2 T_0)) ### Axiom
% 6.59/6.81 68. (v3_orders_2 T_0) (-. (v3_orders_2 T_0)) ### Axiom
% 6.59/6.81 69. (v4_orders_2 T_0) (-. (v4_orders_2 T_0)) ### Axiom
% 6.59/6.81 70. (v1_lattice3 T_0) (-. (v1_lattice3 T_0)) ### Axiom
% 6.59/6.81 71. (v2_lattice3 T_0) (-. (v2_lattice3 T_0)) ### Axiom
% 6.59/6.81 72. (v3_lattice3 T_0) (-. (v3_lattice3 T_0)) ### Axiom
% 6.59/6.81 73. (l1_orders_2 T_0) (-. (l1_orders_2 T_0)) ### Axiom
% 6.59/6.81 74. (v1_funct_1 T_1) (-. (v1_funct_1 T_1)) ### Axiom
% 6.59/6.81 75. (v1_funct_2 T_1 (u1_struct_0 T_0) (u1_struct_0 T_0)) (-. (v1_funct_2 T_1 (u1_struct_0 T_0) (u1_struct_0 T_0))) ### Axiom
% 6.59/6.81 76. (l1_orders_2 T_0) (-. (l1_orders_2 T_0)) ### Axiom
% 6.59/6.81 77. (m1_relset_1 T_1 (u1_struct_0 T_0) (u1_struct_0 T_0)) (-. (m1_relset_1 T_1 (u1_struct_0 T_0) (u1_struct_0 T_0))) ### Axiom
% 6.59/6.81 78. (v1_funct_1 T_1) (-. (v1_funct_1 T_1)) ### Axiom
% 6.59/6.81 79. (v1_funct_2 T_1 (u1_struct_0 T_0) (u1_struct_0 T_0)) (-. (v1_funct_2 T_1 (u1_struct_0 T_0) (u1_struct_0 T_0))) ### Axiom
% 6.59/6.81 80. (v7_waybel_1 T_1 T_0) (-. (v7_waybel_1 T_1 T_0)) ### Axiom
% 6.59/6.81 81. (-. (v6_waybel_1 T_1 T_0)) (v6_waybel_1 T_1 T_0) ### Axiom
% 6.59/6.81 82. ((v1_funct_1 T_1) /\ ((-. (v1_xboole_0 T_1)) /\ ((v1_funct_2 T_1 (u1_struct_0 T_0) (u1_struct_0 T_0)) /\ ((v1_partfun1 T_1 (u1_struct_0 T_0) (u1_struct_0 T_0)) /\ (v6_waybel_1 T_1 T_0))))) (-. (v6_waybel_1 T_1 T_0)) ### ConjTree 81
% 6.98/7.14 83. ((m1_relset_1 T_1 (u1_struct_0 T_0) (u1_struct_0 T_0)) => (((v1_funct_1 T_1) /\ ((v1_funct_2 T_1 (u1_struct_0 T_0) (u1_struct_0 T_0)) /\ (v7_waybel_1 T_1 T_0))) => ((v1_funct_1 T_1) /\ ((-. (v1_xboole_0 T_1)) /\ ((v1_funct_2 T_1 (u1_struct_0 T_0) (u1_struct_0 T_0)) /\ ((v1_partfun1 T_1 (u1_struct_0 T_0) (u1_struct_0 T_0)) /\ (v6_waybel_1 T_1 T_0))))))) (-. (v6_waybel_1 T_1 T_0)) (v7_waybel_1 T_1 T_0) (v1_funct_2 T_1 (u1_struct_0 T_0) (u1_struct_0 T_0)) (v1_funct_1 T_1) (m1_relset_1 T_1 (u1_struct_0 T_0) (u1_struct_0 T_0)) ### DisjTree 77 78 79 80 82
% 6.98/7.14 84. (All B, ((m1_relset_1 B (u1_struct_0 T_0) (u1_struct_0 T_0)) => (((v1_funct_1 B) /\ ((v1_funct_2 B (u1_struct_0 T_0) (u1_struct_0 T_0)) /\ (v7_waybel_1 B T_0))) => ((v1_funct_1 B) /\ ((-. (v1_xboole_0 B)) /\ ((v1_funct_2 B (u1_struct_0 T_0) (u1_struct_0 T_0)) /\ ((v1_partfun1 B (u1_struct_0 T_0) (u1_struct_0 T_0)) /\ (v6_waybel_1 B T_0)))))))) (m1_relset_1 T_1 (u1_struct_0 T_0) (u1_struct_0 T_0)) (v1_funct_1 T_1) (v1_funct_2 T_1 (u1_struct_0 T_0) (u1_struct_0 T_0)) (v7_waybel_1 T_1 T_0) (-. (v6_waybel_1 T_1 T_0)) ### All 83
% 6.98/7.14 85. (((-. (v3_struct_0 T_0)) /\ (l1_orders_2 T_0)) => (All B, ((m1_relset_1 B (u1_struct_0 T_0) (u1_struct_0 T_0)) => (((v1_funct_1 B) /\ ((v1_funct_2 B (u1_struct_0 T_0) (u1_struct_0 T_0)) /\ (v7_waybel_1 B T_0))) => ((v1_funct_1 B) /\ ((-. (v1_xboole_0 B)) /\ ((v1_funct_2 B (u1_struct_0 T_0) (u1_struct_0 T_0)) /\ ((v1_partfun1 B (u1_struct_0 T_0) (u1_struct_0 T_0)) /\ (v6_waybel_1 B T_0))))))))) (-. (v6_waybel_1 T_1 T_0)) (v7_waybel_1 T_1 T_0) (v1_funct_2 T_1 (u1_struct_0 T_0) (u1_struct_0 T_0)) (v1_funct_1 T_1) (m1_relset_1 T_1 (u1_struct_0 T_0) (u1_struct_0 T_0)) (v2_lattice3 T_0) (l1_orders_2 T_0) (All A, ((l1_orders_2 A) => ((v2_lattice3 A) => (-. (v3_struct_0 A))))) ### DisjTree 27 76 84
% 6.98/7.14 86. (All A, (((-. (v3_struct_0 A)) /\ (l1_orders_2 A)) => (All B, ((m1_relset_1 B (u1_struct_0 A) (u1_struct_0 A)) => (((v1_funct_1 B) /\ ((v1_funct_2 B (u1_struct_0 A) (u1_struct_0 A)) /\ (v7_waybel_1 B A))) => ((v1_funct_1 B) /\ ((-. (v1_xboole_0 B)) /\ ((v1_funct_2 B (u1_struct_0 A) (u1_struct_0 A)) /\ ((v1_partfun1 B (u1_struct_0 A) (u1_struct_0 A)) /\ (v6_waybel_1 B A)))))))))) (All A, ((l1_orders_2 A) => ((v2_lattice3 A) => (-. (v3_struct_0 A))))) (l1_orders_2 T_0) (v2_lattice3 T_0) (m1_relset_1 T_1 (u1_struct_0 T_0) (u1_struct_0 T_0)) (v1_funct_1 T_1) (v1_funct_2 T_1 (u1_struct_0 T_0) (u1_struct_0 T_0)) (v7_waybel_1 T_1 T_0) (-. (v6_waybel_1 T_1 T_0)) ### All 85
% 6.98/7.14 87. (m1_relset_1 T_1 (u1_struct_0 T_0) (u1_struct_0 T_0)) (-. (m1_relset_1 T_1 (u1_struct_0 T_0) (u1_struct_0 T_0))) ### Axiom
% 6.98/7.14 88. (-. (v1_lattice3 (k2_yellow_2 T_0 T_0 T_1))) (v1_lattice3 (k2_yellow_2 T_0 T_0 T_1)) ### Axiom
% 6.98/7.14 89. ((-. (v3_struct_0 (k2_yellow_2 T_0 T_0 T_1))) /\ ((v1_orders_2 (k2_yellow_2 T_0 T_0 T_1)) /\ ((v2_orders_2 (k2_yellow_2 T_0 T_0 T_1)) /\ ((v3_orders_2 (k2_yellow_2 T_0 T_0 T_1)) /\ ((v4_orders_2 (k2_yellow_2 T_0 T_0 T_1)) /\ ((v1_yellow_0 (k2_yellow_2 T_0 T_0 T_1)) /\ ((v2_yellow_0 (k2_yellow_2 T_0 T_0 T_1)) /\ ((v3_yellow_0 (k2_yellow_2 T_0 T_0 T_1)) /\ ((v4_yellow_0 (k2_yellow_2 T_0 T_0 T_1) T_0) /\ ((v24_waybel_0 (k2_yellow_2 T_0 T_0 T_1)) /\ ((v25_waybel_0 (k2_yellow_2 T_0 T_0 T_1)) /\ ((v1_lattice3 (k2_yellow_2 T_0 T_0 T_1)) /\ ((v2_lattice3 (k2_yellow_2 T_0 T_0 T_1)) /\ (v3_lattice3 (k2_yellow_2 T_0 T_0 T_1))))))))))))))) (-. (v1_lattice3 (k2_yellow_2 T_0 T_0 T_1))) ### ConjTree 88
% 6.98/7.14 90. (((v2_orders_2 T_0) /\ ((v3_orders_2 T_0) /\ ((v4_orders_2 T_0) /\ ((v1_lattice3 T_0) /\ ((v2_lattice3 T_0) /\ ((v3_lattice3 T_0) /\ ((l1_orders_2 T_0) /\ ((v1_funct_1 T_1) /\ ((v1_funct_2 T_1 (u1_struct_0 T_0) (u1_struct_0 T_0)) /\ ((v6_waybel_1 T_1 T_0) /\ (m1_relset_1 T_1 (u1_struct_0 T_0) (u1_struct_0 T_0)))))))))))) => ((-. (v3_struct_0 (k2_yellow_2 T_0 T_0 T_1))) /\ ((v1_orders_2 (k2_yellow_2 T_0 T_0 T_1)) /\ ((v2_orders_2 (k2_yellow_2 T_0 T_0 T_1)) /\ ((v3_orders_2 (k2_yellow_2 T_0 T_0 T_1)) /\ ((v4_orders_2 (k2_yellow_2 T_0 T_0 T_1)) /\ ((v1_yellow_0 (k2_yellow_2 T_0 T_0 T_1)) /\ ((v2_yellow_0 (k2_yellow_2 T_0 T_0 T_1)) /\ ((v3_yellow_0 (k2_yellow_2 T_0 T_0 T_1)) /\ ((v4_yellow_0 (k2_yellow_2 T_0 T_0 T_1) T_0) /\ ((v24_waybel_0 (k2_yellow_2 T_0 T_0 T_1)) /\ ((v25_waybel_0 (k2_yellow_2 T_0 T_0 T_1)) /\ ((v1_lattice3 (k2_yellow_2 T_0 T_0 T_1)) /\ ((v2_lattice3 (k2_yellow_2 T_0 T_0 T_1)) /\ (v3_lattice3 (k2_yellow_2 T_0 T_0 T_1)))))))))))))))) (-. (v1_lattice3 (k2_yellow_2 T_0 T_0 T_1))) (v7_waybel_1 T_1 T_0) (m1_relset_1 T_1 (u1_struct_0 T_0) (u1_struct_0 T_0)) (All A, ((l1_orders_2 A) => ((v2_lattice3 A) => (-. (v3_struct_0 A))))) (All A, (((-. (v3_struct_0 A)) /\ (l1_orders_2 A)) => (All B, ((m1_relset_1 B (u1_struct_0 A) (u1_struct_0 A)) => (((v1_funct_1 B) /\ ((v1_funct_2 B (u1_struct_0 A) (u1_struct_0 A)) /\ (v7_waybel_1 B A))) => ((v1_funct_1 B) /\ ((-. (v1_xboole_0 B)) /\ ((v1_funct_2 B (u1_struct_0 A) (u1_struct_0 A)) /\ ((v1_partfun1 B (u1_struct_0 A) (u1_struct_0 A)) /\ (v6_waybel_1 B A)))))))))) (v1_funct_2 T_1 (u1_struct_0 T_0) (u1_struct_0 T_0)) (v1_funct_1 T_1) (l1_orders_2 T_0) (v3_lattice3 T_0) (v2_lattice3 T_0) (v1_lattice3 T_0) (v4_orders_2 T_0) (v3_orders_2 T_0) (v2_orders_2 T_0) ### DisjTree 67 68 69 70 71 72 73 74 75 86 87 89
% 6.98/7.14 91. (All B, (((v2_orders_2 T_0) /\ ((v3_orders_2 T_0) /\ ((v4_orders_2 T_0) /\ ((v1_lattice3 T_0) /\ ((v2_lattice3 T_0) /\ ((v3_lattice3 T_0) /\ ((l1_orders_2 T_0) /\ ((v1_funct_1 B) /\ ((v1_funct_2 B (u1_struct_0 T_0) (u1_struct_0 T_0)) /\ ((v6_waybel_1 B T_0) /\ (m1_relset_1 B (u1_struct_0 T_0) (u1_struct_0 T_0)))))))))))) => ((-. (v3_struct_0 (k2_yellow_2 T_0 T_0 B))) /\ ((v1_orders_2 (k2_yellow_2 T_0 T_0 B)) /\ ((v2_orders_2 (k2_yellow_2 T_0 T_0 B)) /\ ((v3_orders_2 (k2_yellow_2 T_0 T_0 B)) /\ ((v4_orders_2 (k2_yellow_2 T_0 T_0 B)) /\ ((v1_yellow_0 (k2_yellow_2 T_0 T_0 B)) /\ ((v2_yellow_0 (k2_yellow_2 T_0 T_0 B)) /\ ((v3_yellow_0 (k2_yellow_2 T_0 T_0 B)) /\ ((v4_yellow_0 (k2_yellow_2 T_0 T_0 B) T_0) /\ ((v24_waybel_0 (k2_yellow_2 T_0 T_0 B)) /\ ((v25_waybel_0 (k2_yellow_2 T_0 T_0 B)) /\ ((v1_lattice3 (k2_yellow_2 T_0 T_0 B)) /\ ((v2_lattice3 (k2_yellow_2 T_0 T_0 B)) /\ (v3_lattice3 (k2_yellow_2 T_0 T_0 B))))))))))))))))) (v2_orders_2 T_0) (v3_orders_2 T_0) (v4_orders_2 T_0) (v1_lattice3 T_0) (v2_lattice3 T_0) (v3_lattice3 T_0) (l1_orders_2 T_0) (v1_funct_1 T_1) (v1_funct_2 T_1 (u1_struct_0 T_0) (u1_struct_0 T_0)) (All A, (((-. (v3_struct_0 A)) /\ (l1_orders_2 A)) => (All B, ((m1_relset_1 B (u1_struct_0 A) (u1_struct_0 A)) => (((v1_funct_1 B) /\ ((v1_funct_2 B (u1_struct_0 A) (u1_struct_0 A)) /\ (v7_waybel_1 B A))) => ((v1_funct_1 B) /\ ((-. (v1_xboole_0 B)) /\ ((v1_funct_2 B (u1_struct_0 A) (u1_struct_0 A)) /\ ((v1_partfun1 B (u1_struct_0 A) (u1_struct_0 A)) /\ (v6_waybel_1 B A)))))))))) (All A, ((l1_orders_2 A) => ((v2_lattice3 A) => (-. (v3_struct_0 A))))) (m1_relset_1 T_1 (u1_struct_0 T_0) (u1_struct_0 T_0)) (v7_waybel_1 T_1 T_0) (-. (v1_lattice3 (k2_yellow_2 T_0 T_0 T_1))) ### All 90
% 6.98/7.14 92. (All A, (All B, (((v2_orders_2 A) /\ ((v3_orders_2 A) /\ ((v4_orders_2 A) /\ ((v1_lattice3 A) /\ ((v2_lattice3 A) /\ ((v3_lattice3 A) /\ ((l1_orders_2 A) /\ ((v1_funct_1 B) /\ ((v1_funct_2 B (u1_struct_0 A) (u1_struct_0 A)) /\ ((v6_waybel_1 B A) /\ (m1_relset_1 B (u1_struct_0 A) (u1_struct_0 A)))))))))))) => ((-. (v3_struct_0 (k2_yellow_2 A A B))) /\ ((v1_orders_2 (k2_yellow_2 A A B)) /\ ((v2_orders_2 (k2_yellow_2 A A B)) /\ ((v3_orders_2 (k2_yellow_2 A A B)) /\ ((v4_orders_2 (k2_yellow_2 A A B)) /\ ((v1_yellow_0 (k2_yellow_2 A A B)) /\ ((v2_yellow_0 (k2_yellow_2 A A B)) /\ ((v3_yellow_0 (k2_yellow_2 A A B)) /\ ((v4_yellow_0 (k2_yellow_2 A A B) A) /\ ((v24_waybel_0 (k2_yellow_2 A A B)) /\ ((v25_waybel_0 (k2_yellow_2 A A B)) /\ ((v1_lattice3 (k2_yellow_2 A A B)) /\ ((v2_lattice3 (k2_yellow_2 A A B)) /\ (v3_lattice3 (k2_yellow_2 A A B)))))))))))))))))) (-. (v1_lattice3 (k2_yellow_2 T_0 T_0 T_1))) (v7_waybel_1 T_1 T_0) (m1_relset_1 T_1 (u1_struct_0 T_0) (u1_struct_0 T_0)) (All A, ((l1_orders_2 A) => ((v2_lattice3 A) => (-. (v3_struct_0 A))))) (All A, (((-. (v3_struct_0 A)) /\ (l1_orders_2 A)) => (All B, ((m1_relset_1 B (u1_struct_0 A) (u1_struct_0 A)) => (((v1_funct_1 B) /\ ((v1_funct_2 B (u1_struct_0 A) (u1_struct_0 A)) /\ (v7_waybel_1 B A))) => ((v1_funct_1 B) /\ ((-. (v1_xboole_0 B)) /\ ((v1_funct_2 B (u1_struct_0 A) (u1_struct_0 A)) /\ ((v1_partfun1 B (u1_struct_0 A) (u1_struct_0 A)) /\ (v6_waybel_1 B A)))))))))) (v1_funct_2 T_1 (u1_struct_0 T_0) (u1_struct_0 T_0)) (v1_funct_1 T_1) (l1_orders_2 T_0) (v3_lattice3 T_0) (v2_lattice3 T_0) (v1_lattice3 T_0) (v4_orders_2 T_0) (v3_orders_2 T_0) (v2_orders_2 T_0) ### All 91
% 6.99/7.17 93. (v2_orders_2 T_0) (-. (v2_orders_2 T_0)) ### Axiom
% 6.99/7.17 94. (v3_orders_2 T_0) (-. (v3_orders_2 T_0)) ### Axiom
% 6.99/7.17 95. (v4_orders_2 T_0) (-. (v4_orders_2 T_0)) ### Axiom
% 6.99/7.17 96. (v1_lattice3 T_0) (-. (v1_lattice3 T_0)) ### Axiom
% 6.99/7.17 97. (v2_lattice3 T_0) (-. (v2_lattice3 T_0)) ### Axiom
% 6.99/7.17 98. (v3_lattice3 T_0) (-. (v3_lattice3 T_0)) ### Axiom
% 6.99/7.17 99. (l1_orders_2 T_0) (-. (l1_orders_2 T_0)) ### Axiom
% 6.99/7.17 100. (v1_funct_1 T_1) (-. (v1_funct_1 T_1)) ### Axiom
% 6.99/7.17 101. (v1_funct_2 T_1 (u1_struct_0 T_0) (u1_struct_0 T_0)) (-. (v1_funct_2 T_1 (u1_struct_0 T_0) (u1_struct_0 T_0))) ### Axiom
% 6.99/7.17 102. (m1_relset_1 T_1 (u1_struct_0 T_0) (u1_struct_0 T_0)) (-. (m1_relset_1 T_1 (u1_struct_0 T_0) (u1_struct_0 T_0))) ### Axiom
% 6.99/7.17 103. (-. (v2_lattice3 (k2_yellow_2 T_0 T_0 T_1))) (v2_lattice3 (k2_yellow_2 T_0 T_0 T_1)) ### Axiom
% 6.99/7.17 104. ((-. (v3_struct_0 (k2_yellow_2 T_0 T_0 T_1))) /\ ((v1_orders_2 (k2_yellow_2 T_0 T_0 T_1)) /\ ((v2_orders_2 (k2_yellow_2 T_0 T_0 T_1)) /\ ((v3_orders_2 (k2_yellow_2 T_0 T_0 T_1)) /\ ((v4_orders_2 (k2_yellow_2 T_0 T_0 T_1)) /\ ((v1_yellow_0 (k2_yellow_2 T_0 T_0 T_1)) /\ ((v2_yellow_0 (k2_yellow_2 T_0 T_0 T_1)) /\ ((v3_yellow_0 (k2_yellow_2 T_0 T_0 T_1)) /\ ((v4_yellow_0 (k2_yellow_2 T_0 T_0 T_1) T_0) /\ ((v24_waybel_0 (k2_yellow_2 T_0 T_0 T_1)) /\ ((v25_waybel_0 (k2_yellow_2 T_0 T_0 T_1)) /\ ((v1_lattice3 (k2_yellow_2 T_0 T_0 T_1)) /\ ((v2_lattice3 (k2_yellow_2 T_0 T_0 T_1)) /\ (v3_lattice3 (k2_yellow_2 T_0 T_0 T_1))))))))))))))) (-. (v2_lattice3 (k2_yellow_2 T_0 T_0 T_1))) ### ConjTree 103
% 6.99/7.17 105. (((v2_orders_2 T_0) /\ ((v3_orders_2 T_0) /\ ((v4_orders_2 T_0) /\ ((v1_lattice3 T_0) /\ ((v2_lattice3 T_0) /\ ((v3_lattice3 T_0) /\ ((l1_orders_2 T_0) /\ ((v1_funct_1 T_1) /\ ((v1_funct_2 T_1 (u1_struct_0 T_0) (u1_struct_0 T_0)) /\ ((v6_waybel_1 T_1 T_0) /\ (m1_relset_1 T_1 (u1_struct_0 T_0) (u1_struct_0 T_0)))))))))))) => ((-. (v3_struct_0 (k2_yellow_2 T_0 T_0 T_1))) /\ ((v1_orders_2 (k2_yellow_2 T_0 T_0 T_1)) /\ ((v2_orders_2 (k2_yellow_2 T_0 T_0 T_1)) /\ ((v3_orders_2 (k2_yellow_2 T_0 T_0 T_1)) /\ ((v4_orders_2 (k2_yellow_2 T_0 T_0 T_1)) /\ ((v1_yellow_0 (k2_yellow_2 T_0 T_0 T_1)) /\ ((v2_yellow_0 (k2_yellow_2 T_0 T_0 T_1)) /\ ((v3_yellow_0 (k2_yellow_2 T_0 T_0 T_1)) /\ ((v4_yellow_0 (k2_yellow_2 T_0 T_0 T_1) T_0) /\ ((v24_waybel_0 (k2_yellow_2 T_0 T_0 T_1)) /\ ((v25_waybel_0 (k2_yellow_2 T_0 T_0 T_1)) /\ ((v1_lattice3 (k2_yellow_2 T_0 T_0 T_1)) /\ ((v2_lattice3 (k2_yellow_2 T_0 T_0 T_1)) /\ (v3_lattice3 (k2_yellow_2 T_0 T_0 T_1)))))))))))))))) (-. (v2_lattice3 (k2_yellow_2 T_0 T_0 T_1))) (v7_waybel_1 T_1 T_0) (m1_relset_1 T_1 (u1_struct_0 T_0) (u1_struct_0 T_0)) (All A, ((l1_orders_2 A) => ((v2_lattice3 A) => (-. (v3_struct_0 A))))) (All A, (((-. (v3_struct_0 A)) /\ (l1_orders_2 A)) => (All B, ((m1_relset_1 B (u1_struct_0 A) (u1_struct_0 A)) => (((v1_funct_1 B) /\ ((v1_funct_2 B (u1_struct_0 A) (u1_struct_0 A)) /\ (v7_waybel_1 B A))) => ((v1_funct_1 B) /\ ((-. (v1_xboole_0 B)) /\ ((v1_funct_2 B (u1_struct_0 A) (u1_struct_0 A)) /\ ((v1_partfun1 B (u1_struct_0 A) (u1_struct_0 A)) /\ (v6_waybel_1 B A)))))))))) (v1_funct_2 T_1 (u1_struct_0 T_0) (u1_struct_0 T_0)) (v1_funct_1 T_1) (l1_orders_2 T_0) (v3_lattice3 T_0) (v2_lattice3 T_0) (v1_lattice3 T_0) (v4_orders_2 T_0) (v3_orders_2 T_0) (v2_orders_2 T_0) ### DisjTree 93 94 95 96 97 98 99 100 101 86 102 104
% 6.99/7.17 106. (All B, (((v2_orders_2 T_0) /\ ((v3_orders_2 T_0) /\ ((v4_orders_2 T_0) /\ ((v1_lattice3 T_0) /\ ((v2_lattice3 T_0) /\ ((v3_lattice3 T_0) /\ ((l1_orders_2 T_0) /\ ((v1_funct_1 B) /\ ((v1_funct_2 B (u1_struct_0 T_0) (u1_struct_0 T_0)) /\ ((v6_waybel_1 B T_0) /\ (m1_relset_1 B (u1_struct_0 T_0) (u1_struct_0 T_0)))))))))))) => ((-. (v3_struct_0 (k2_yellow_2 T_0 T_0 B))) /\ ((v1_orders_2 (k2_yellow_2 T_0 T_0 B)) /\ ((v2_orders_2 (k2_yellow_2 T_0 T_0 B)) /\ ((v3_orders_2 (k2_yellow_2 T_0 T_0 B)) /\ ((v4_orders_2 (k2_yellow_2 T_0 T_0 B)) /\ ((v1_yellow_0 (k2_yellow_2 T_0 T_0 B)) /\ ((v2_yellow_0 (k2_yellow_2 T_0 T_0 B)) /\ ((v3_yellow_0 (k2_yellow_2 T_0 T_0 B)) /\ ((v4_yellow_0 (k2_yellow_2 T_0 T_0 B) T_0) /\ ((v24_waybel_0 (k2_yellow_2 T_0 T_0 B)) /\ ((v25_waybel_0 (k2_yellow_2 T_0 T_0 B)) /\ ((v1_lattice3 (k2_yellow_2 T_0 T_0 B)) /\ ((v2_lattice3 (k2_yellow_2 T_0 T_0 B)) /\ (v3_lattice3 (k2_yellow_2 T_0 T_0 B))))))))))))))))) (v2_orders_2 T_0) (v3_orders_2 T_0) (v4_orders_2 T_0) (v1_lattice3 T_0) (v2_lattice3 T_0) (v3_lattice3 T_0) (l1_orders_2 T_0) (v1_funct_1 T_1) (v1_funct_2 T_1 (u1_struct_0 T_0) (u1_struct_0 T_0)) (All A, (((-. (v3_struct_0 A)) /\ (l1_orders_2 A)) => (All B, ((m1_relset_1 B (u1_struct_0 A) (u1_struct_0 A)) => (((v1_funct_1 B) /\ ((v1_funct_2 B (u1_struct_0 A) (u1_struct_0 A)) /\ (v7_waybel_1 B A))) => ((v1_funct_1 B) /\ ((-. (v1_xboole_0 B)) /\ ((v1_funct_2 B (u1_struct_0 A) (u1_struct_0 A)) /\ ((v1_partfun1 B (u1_struct_0 A) (u1_struct_0 A)) /\ (v6_waybel_1 B A)))))))))) (All A, ((l1_orders_2 A) => ((v2_lattice3 A) => (-. (v3_struct_0 A))))) (m1_relset_1 T_1 (u1_struct_0 T_0) (u1_struct_0 T_0)) (v7_waybel_1 T_1 T_0) (-. (v2_lattice3 (k2_yellow_2 T_0 T_0 T_1))) ### All 105
% 6.99/7.17 107. (All A, (All B, (((v2_orders_2 A) /\ ((v3_orders_2 A) /\ ((v4_orders_2 A) /\ ((v1_lattice3 A) /\ ((v2_lattice3 A) /\ ((v3_lattice3 A) /\ ((l1_orders_2 A) /\ ((v1_funct_1 B) /\ ((v1_funct_2 B (u1_struct_0 A) (u1_struct_0 A)) /\ ((v6_waybel_1 B A) /\ (m1_relset_1 B (u1_struct_0 A) (u1_struct_0 A)))))))))))) => ((-. (v3_struct_0 (k2_yellow_2 A A B))) /\ ((v1_orders_2 (k2_yellow_2 A A B)) /\ ((v2_orders_2 (k2_yellow_2 A A B)) /\ ((v3_orders_2 (k2_yellow_2 A A B)) /\ ((v4_orders_2 (k2_yellow_2 A A B)) /\ ((v1_yellow_0 (k2_yellow_2 A A B)) /\ ((v2_yellow_0 (k2_yellow_2 A A B)) /\ ((v3_yellow_0 (k2_yellow_2 A A B)) /\ ((v4_yellow_0 (k2_yellow_2 A A B) A) /\ ((v24_waybel_0 (k2_yellow_2 A A B)) /\ ((v25_waybel_0 (k2_yellow_2 A A B)) /\ ((v1_lattice3 (k2_yellow_2 A A B)) /\ ((v2_lattice3 (k2_yellow_2 A A B)) /\ (v3_lattice3 (k2_yellow_2 A A B)))))))))))))))))) (-. (v2_lattice3 (k2_yellow_2 T_0 T_0 T_1))) (v7_waybel_1 T_1 T_0) (m1_relset_1 T_1 (u1_struct_0 T_0) (u1_struct_0 T_0)) (All A, ((l1_orders_2 A) => ((v2_lattice3 A) => (-. (v3_struct_0 A))))) (All A, (((-. (v3_struct_0 A)) /\ (l1_orders_2 A)) => (All B, ((m1_relset_1 B (u1_struct_0 A) (u1_struct_0 A)) => (((v1_funct_1 B) /\ ((v1_funct_2 B (u1_struct_0 A) (u1_struct_0 A)) /\ (v7_waybel_1 B A))) => ((v1_funct_1 B) /\ ((-. (v1_xboole_0 B)) /\ ((v1_funct_2 B (u1_struct_0 A) (u1_struct_0 A)) /\ ((v1_partfun1 B (u1_struct_0 A) (u1_struct_0 A)) /\ (v6_waybel_1 B A)))))))))) (v1_funct_2 T_1 (u1_struct_0 T_0) (u1_struct_0 T_0)) (v1_funct_1 T_1) (l1_orders_2 T_0) (v3_lattice3 T_0) (v2_lattice3 T_0) (v1_lattice3 T_0) (v4_orders_2 T_0) (v3_orders_2 T_0) (v2_orders_2 T_0) ### All 106
% 6.99/7.17 108. (v2_orders_2 T_0) (-. (v2_orders_2 T_0)) ### Axiom
% 6.99/7.17 109. (v3_orders_2 T_0) (-. (v3_orders_2 T_0)) ### Axiom
% 6.99/7.17 110. (v4_orders_2 T_0) (-. (v4_orders_2 T_0)) ### Axiom
% 6.99/7.17 111. (v1_lattice3 T_0) (-. (v1_lattice3 T_0)) ### Axiom
% 6.99/7.17 112. (v2_lattice3 T_0) (-. (v2_lattice3 T_0)) ### Axiom
% 6.99/7.17 113. (v3_lattice3 T_0) (-. (v3_lattice3 T_0)) ### Axiom
% 6.99/7.17 114. (l1_orders_2 T_0) (-. (l1_orders_2 T_0)) ### Axiom
% 6.99/7.17 115. (v1_funct_1 T_1) (-. (v1_funct_1 T_1)) ### Axiom
% 6.99/7.17 116. (v1_funct_2 T_1 (u1_struct_0 T_0) (u1_struct_0 T_0)) (-. (v1_funct_2 T_1 (u1_struct_0 T_0) (u1_struct_0 T_0))) ### Axiom
% 6.99/7.17 117. (m1_relset_1 T_1 (u1_struct_0 T_0) (u1_struct_0 T_0)) (-. (m1_relset_1 T_1 (u1_struct_0 T_0) (u1_struct_0 T_0))) ### Axiom
% 6.99/7.17 118. (-. (v3_lattice3 (k2_yellow_2 T_0 T_0 T_1))) (v3_lattice3 (k2_yellow_2 T_0 T_0 T_1)) ### Axiom
% 6.99/7.17 119. ((-. (v3_struct_0 (k2_yellow_2 T_0 T_0 T_1))) /\ ((v1_orders_2 (k2_yellow_2 T_0 T_0 T_1)) /\ ((v2_orders_2 (k2_yellow_2 T_0 T_0 T_1)) /\ ((v3_orders_2 (k2_yellow_2 T_0 T_0 T_1)) /\ ((v4_orders_2 (k2_yellow_2 T_0 T_0 T_1)) /\ ((v1_yellow_0 (k2_yellow_2 T_0 T_0 T_1)) /\ ((v2_yellow_0 (k2_yellow_2 T_0 T_0 T_1)) /\ ((v3_yellow_0 (k2_yellow_2 T_0 T_0 T_1)) /\ ((v4_yellow_0 (k2_yellow_2 T_0 T_0 T_1) T_0) /\ ((v24_waybel_0 (k2_yellow_2 T_0 T_0 T_1)) /\ ((v25_waybel_0 (k2_yellow_2 T_0 T_0 T_1)) /\ ((v1_lattice3 (k2_yellow_2 T_0 T_0 T_1)) /\ ((v2_lattice3 (k2_yellow_2 T_0 T_0 T_1)) /\ (v3_lattice3 (k2_yellow_2 T_0 T_0 T_1))))))))))))))) (-. (v3_lattice3 (k2_yellow_2 T_0 T_0 T_1))) ### ConjTree 118
% 6.99/7.20 120. (((v2_orders_2 T_0) /\ ((v3_orders_2 T_0) /\ ((v4_orders_2 T_0) /\ ((v1_lattice3 T_0) /\ ((v2_lattice3 T_0) /\ ((v3_lattice3 T_0) /\ ((l1_orders_2 T_0) /\ ((v1_funct_1 T_1) /\ ((v1_funct_2 T_1 (u1_struct_0 T_0) (u1_struct_0 T_0)) /\ ((v6_waybel_1 T_1 T_0) /\ (m1_relset_1 T_1 (u1_struct_0 T_0) (u1_struct_0 T_0)))))))))))) => ((-. (v3_struct_0 (k2_yellow_2 T_0 T_0 T_1))) /\ ((v1_orders_2 (k2_yellow_2 T_0 T_0 T_1)) /\ ((v2_orders_2 (k2_yellow_2 T_0 T_0 T_1)) /\ ((v3_orders_2 (k2_yellow_2 T_0 T_0 T_1)) /\ ((v4_orders_2 (k2_yellow_2 T_0 T_0 T_1)) /\ ((v1_yellow_0 (k2_yellow_2 T_0 T_0 T_1)) /\ ((v2_yellow_0 (k2_yellow_2 T_0 T_0 T_1)) /\ ((v3_yellow_0 (k2_yellow_2 T_0 T_0 T_1)) /\ ((v4_yellow_0 (k2_yellow_2 T_0 T_0 T_1) T_0) /\ ((v24_waybel_0 (k2_yellow_2 T_0 T_0 T_1)) /\ ((v25_waybel_0 (k2_yellow_2 T_0 T_0 T_1)) /\ ((v1_lattice3 (k2_yellow_2 T_0 T_0 T_1)) /\ ((v2_lattice3 (k2_yellow_2 T_0 T_0 T_1)) /\ (v3_lattice3 (k2_yellow_2 T_0 T_0 T_1)))))))))))))))) (-. (v3_lattice3 (k2_yellow_2 T_0 T_0 T_1))) (v7_waybel_1 T_1 T_0) (m1_relset_1 T_1 (u1_struct_0 T_0) (u1_struct_0 T_0)) (All A, ((l1_orders_2 A) => ((v2_lattice3 A) => (-. (v3_struct_0 A))))) (All A, (((-. (v3_struct_0 A)) /\ (l1_orders_2 A)) => (All B, ((m1_relset_1 B (u1_struct_0 A) (u1_struct_0 A)) => (((v1_funct_1 B) /\ ((v1_funct_2 B (u1_struct_0 A) (u1_struct_0 A)) /\ (v7_waybel_1 B A))) => ((v1_funct_1 B) /\ ((-. (v1_xboole_0 B)) /\ ((v1_funct_2 B (u1_struct_0 A) (u1_struct_0 A)) /\ ((v1_partfun1 B (u1_struct_0 A) (u1_struct_0 A)) /\ (v6_waybel_1 B A)))))))))) (v1_funct_2 T_1 (u1_struct_0 T_0) (u1_struct_0 T_0)) (v1_funct_1 T_1) (l1_orders_2 T_0) (v3_lattice3 T_0) (v2_lattice3 T_0) (v1_lattice3 T_0) (v4_orders_2 T_0) (v3_orders_2 T_0) (v2_orders_2 T_0) ### DisjTree 108 109 110 111 112 113 114 115 116 86 117 119
% 6.99/7.20 121. (All B, (((v2_orders_2 T_0) /\ ((v3_orders_2 T_0) /\ ((v4_orders_2 T_0) /\ ((v1_lattice3 T_0) /\ ((v2_lattice3 T_0) /\ ((v3_lattice3 T_0) /\ ((l1_orders_2 T_0) /\ ((v1_funct_1 B) /\ ((v1_funct_2 B (u1_struct_0 T_0) (u1_struct_0 T_0)) /\ ((v6_waybel_1 B T_0) /\ (m1_relset_1 B (u1_struct_0 T_0) (u1_struct_0 T_0)))))))))))) => ((-. (v3_struct_0 (k2_yellow_2 T_0 T_0 B))) /\ ((v1_orders_2 (k2_yellow_2 T_0 T_0 B)) /\ ((v2_orders_2 (k2_yellow_2 T_0 T_0 B)) /\ ((v3_orders_2 (k2_yellow_2 T_0 T_0 B)) /\ ((v4_orders_2 (k2_yellow_2 T_0 T_0 B)) /\ ((v1_yellow_0 (k2_yellow_2 T_0 T_0 B)) /\ ((v2_yellow_0 (k2_yellow_2 T_0 T_0 B)) /\ ((v3_yellow_0 (k2_yellow_2 T_0 T_0 B)) /\ ((v4_yellow_0 (k2_yellow_2 T_0 T_0 B) T_0) /\ ((v24_waybel_0 (k2_yellow_2 T_0 T_0 B)) /\ ((v25_waybel_0 (k2_yellow_2 T_0 T_0 B)) /\ ((v1_lattice3 (k2_yellow_2 T_0 T_0 B)) /\ ((v2_lattice3 (k2_yellow_2 T_0 T_0 B)) /\ (v3_lattice3 (k2_yellow_2 T_0 T_0 B))))))))))))))))) (v2_orders_2 T_0) (v3_orders_2 T_0) (v4_orders_2 T_0) (v1_lattice3 T_0) (v2_lattice3 T_0) (v3_lattice3 T_0) (l1_orders_2 T_0) (v1_funct_1 T_1) (v1_funct_2 T_1 (u1_struct_0 T_0) (u1_struct_0 T_0)) (All A, (((-. (v3_struct_0 A)) /\ (l1_orders_2 A)) => (All B, ((m1_relset_1 B (u1_struct_0 A) (u1_struct_0 A)) => (((v1_funct_1 B) /\ ((v1_funct_2 B (u1_struct_0 A) (u1_struct_0 A)) /\ (v7_waybel_1 B A))) => ((v1_funct_1 B) /\ ((-. (v1_xboole_0 B)) /\ ((v1_funct_2 B (u1_struct_0 A) (u1_struct_0 A)) /\ ((v1_partfun1 B (u1_struct_0 A) (u1_struct_0 A)) /\ (v6_waybel_1 B A)))))))))) (All A, ((l1_orders_2 A) => ((v2_lattice3 A) => (-. (v3_struct_0 A))))) (m1_relset_1 T_1 (u1_struct_0 T_0) (u1_struct_0 T_0)) (v7_waybel_1 T_1 T_0) (-. (v3_lattice3 (k2_yellow_2 T_0 T_0 T_1))) ### All 120
% 6.99/7.20 122. (All A, (All B, (((v2_orders_2 A) /\ ((v3_orders_2 A) /\ ((v4_orders_2 A) /\ ((v1_lattice3 A) /\ ((v2_lattice3 A) /\ ((v3_lattice3 A) /\ ((l1_orders_2 A) /\ ((v1_funct_1 B) /\ ((v1_funct_2 B (u1_struct_0 A) (u1_struct_0 A)) /\ ((v6_waybel_1 B A) /\ (m1_relset_1 B (u1_struct_0 A) (u1_struct_0 A)))))))))))) => ((-. (v3_struct_0 (k2_yellow_2 A A B))) /\ ((v1_orders_2 (k2_yellow_2 A A B)) /\ ((v2_orders_2 (k2_yellow_2 A A B)) /\ ((v3_orders_2 (k2_yellow_2 A A B)) /\ ((v4_orders_2 (k2_yellow_2 A A B)) /\ ((v1_yellow_0 (k2_yellow_2 A A B)) /\ ((v2_yellow_0 (k2_yellow_2 A A B)) /\ ((v3_yellow_0 (k2_yellow_2 A A B)) /\ ((v4_yellow_0 (k2_yellow_2 A A B) A) /\ ((v24_waybel_0 (k2_yellow_2 A A B)) /\ ((v25_waybel_0 (k2_yellow_2 A A B)) /\ ((v1_lattice3 (k2_yellow_2 A A B)) /\ ((v2_lattice3 (k2_yellow_2 A A B)) /\ (v3_lattice3 (k2_yellow_2 A A B)))))))))))))))))) (-. (v3_lattice3 (k2_yellow_2 T_0 T_0 T_1))) (v7_waybel_1 T_1 T_0) (m1_relset_1 T_1 (u1_struct_0 T_0) (u1_struct_0 T_0)) (All A, ((l1_orders_2 A) => ((v2_lattice3 A) => (-. (v3_struct_0 A))))) (All A, (((-. (v3_struct_0 A)) /\ (l1_orders_2 A)) => (All B, ((m1_relset_1 B (u1_struct_0 A) (u1_struct_0 A)) => (((v1_funct_1 B) /\ ((v1_funct_2 B (u1_struct_0 A) (u1_struct_0 A)) /\ (v7_waybel_1 B A))) => ((v1_funct_1 B) /\ ((-. (v1_xboole_0 B)) /\ ((v1_funct_2 B (u1_struct_0 A) (u1_struct_0 A)) /\ ((v1_partfun1 B (u1_struct_0 A) (u1_struct_0 A)) /\ (v6_waybel_1 B A)))))))))) (v1_funct_2 T_1 (u1_struct_0 T_0) (u1_struct_0 T_0)) (v1_funct_1 T_1) (l1_orders_2 T_0) (v3_lattice3 T_0) (v2_lattice3 T_0) (v1_lattice3 T_0) (v4_orders_2 T_0) (v3_orders_2 T_0) (v2_orders_2 T_0) ### All 121
% 6.99/7.20 123. (l1_orders_2 T_0) (-. (l1_orders_2 T_0)) ### Axiom
% 6.99/7.20 124. (l1_orders_2 T_0) (-. (l1_orders_2 T_0)) ### Axiom
% 6.99/7.20 125. (l1_orders_2 T_0) (-. (l1_orders_2 T_0)) ### Axiom
% 6.99/7.20 126. (v1_funct_1 T_1) (-. (v1_funct_1 T_1)) ### Axiom
% 6.99/7.20 127. (v1_funct_2 T_1 (u1_struct_0 T_0) (u1_struct_0 T_0)) (-. (v1_funct_2 T_1 (u1_struct_0 T_0) (u1_struct_0 T_0))) ### Axiom
% 6.99/7.20 128. (m1_relset_1 T_1 (u1_struct_0 T_0) (u1_struct_0 T_0)) (-. (m1_relset_1 T_1 (u1_struct_0 T_0) (u1_struct_0 T_0))) ### Axiom
% 6.99/7.20 129. (-. (m1_yellow_0 (k2_yellow_2 T_0 T_0 T_1) T_0)) (m1_yellow_0 (k2_yellow_2 T_0 T_0 T_1) T_0) ### Axiom
% 6.99/7.20 130. ((v1_orders_2 (k2_yellow_2 T_0 T_0 T_1)) /\ ((v4_yellow_0 (k2_yellow_2 T_0 T_0 T_1) T_0) /\ (m1_yellow_0 (k2_yellow_2 T_0 T_0 T_1) T_0))) (-. (m1_yellow_0 (k2_yellow_2 T_0 T_0 T_1) T_0)) ### ConjTree 129
% 6.99/7.20 131. (((-. (v3_struct_0 T_0)) /\ ((l1_orders_2 T_0) /\ ((-. (v3_struct_0 T_0)) /\ ((l1_orders_2 T_0) /\ ((v1_funct_1 T_1) /\ ((v1_funct_2 T_1 (u1_struct_0 T_0) (u1_struct_0 T_0)) /\ (m1_relset_1 T_1 (u1_struct_0 T_0) (u1_struct_0 T_0)))))))) => ((v1_orders_2 (k2_yellow_2 T_0 T_0 T_1)) /\ ((v4_yellow_0 (k2_yellow_2 T_0 T_0 T_1) T_0) /\ (m1_yellow_0 (k2_yellow_2 T_0 T_0 T_1) T_0)))) (-. (m1_yellow_0 (k2_yellow_2 T_0 T_0 T_1) T_0)) (m1_relset_1 T_1 (u1_struct_0 T_0) (u1_struct_0 T_0)) (v1_funct_2 T_1 (u1_struct_0 T_0) (u1_struct_0 T_0)) (v1_funct_1 T_1) (v2_lattice3 T_0) (l1_orders_2 T_0) (All A, ((l1_orders_2 A) => ((v2_lattice3 A) => (-. (v3_struct_0 A))))) ### DisjTree 27 124 27 125 126 127 128 130
% 6.99/7.20 132. (All C, (((-. (v3_struct_0 T_0)) /\ ((l1_orders_2 T_0) /\ ((-. (v3_struct_0 T_0)) /\ ((l1_orders_2 T_0) /\ ((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 T_0) (u1_struct_0 T_0)) /\ (m1_relset_1 C (u1_struct_0 T_0) (u1_struct_0 T_0)))))))) => ((v1_orders_2 (k2_yellow_2 T_0 T_0 C)) /\ ((v4_yellow_0 (k2_yellow_2 T_0 T_0 C) T_0) /\ (m1_yellow_0 (k2_yellow_2 T_0 T_0 C) T_0))))) (All A, ((l1_orders_2 A) => ((v2_lattice3 A) => (-. (v3_struct_0 A))))) (l1_orders_2 T_0) (v2_lattice3 T_0) (v1_funct_1 T_1) (v1_funct_2 T_1 (u1_struct_0 T_0) (u1_struct_0 T_0)) (m1_relset_1 T_1 (u1_struct_0 T_0) (u1_struct_0 T_0)) (-. (m1_yellow_0 (k2_yellow_2 T_0 T_0 T_1) T_0)) ### All 131
% 6.99/7.20 133. (All B, (All C, (((-. (v3_struct_0 T_0)) /\ ((l1_orders_2 T_0) /\ ((-. (v3_struct_0 B)) /\ ((l1_orders_2 B) /\ ((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 T_0) (u1_struct_0 B)) /\ (m1_relset_1 C (u1_struct_0 T_0) (u1_struct_0 B)))))))) => ((v1_orders_2 (k2_yellow_2 T_0 B C)) /\ ((v4_yellow_0 (k2_yellow_2 T_0 B C) B) /\ (m1_yellow_0 (k2_yellow_2 T_0 B C) B)))))) (-. (m1_yellow_0 (k2_yellow_2 T_0 T_0 T_1) T_0)) (m1_relset_1 T_1 (u1_struct_0 T_0) (u1_struct_0 T_0)) (v1_funct_2 T_1 (u1_struct_0 T_0) (u1_struct_0 T_0)) (v1_funct_1 T_1) (v2_lattice3 T_0) (l1_orders_2 T_0) (All A, ((l1_orders_2 A) => ((v2_lattice3 A) => (-. (v3_struct_0 A))))) ### All 132
% 7.06/7.24 134. (-. (l1_orders_2 (k2_yellow_2 T_0 T_0 T_1))) (l1_orders_2 (k2_yellow_2 T_0 T_0 T_1)) ### Axiom
% 7.06/7.24 135. ((m1_yellow_0 (k2_yellow_2 T_0 T_0 T_1) T_0) => (l1_orders_2 (k2_yellow_2 T_0 T_0 T_1))) (-. (l1_orders_2 (k2_yellow_2 T_0 T_0 T_1))) (All A, ((l1_orders_2 A) => ((v2_lattice3 A) => (-. (v3_struct_0 A))))) (l1_orders_2 T_0) (v2_lattice3 T_0) (v1_funct_1 T_1) (v1_funct_2 T_1 (u1_struct_0 T_0) (u1_struct_0 T_0)) (m1_relset_1 T_1 (u1_struct_0 T_0) (u1_struct_0 T_0)) (All B, (All C, (((-. (v3_struct_0 T_0)) /\ ((l1_orders_2 T_0) /\ ((-. (v3_struct_0 B)) /\ ((l1_orders_2 B) /\ ((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 T_0) (u1_struct_0 B)) /\ (m1_relset_1 C (u1_struct_0 T_0) (u1_struct_0 B)))))))) => ((v1_orders_2 (k2_yellow_2 T_0 B C)) /\ ((v4_yellow_0 (k2_yellow_2 T_0 B C) B) /\ (m1_yellow_0 (k2_yellow_2 T_0 B C) B)))))) ### Imply 133 134
% 7.06/7.24 136. (All B, ((m1_yellow_0 B T_0) => (l1_orders_2 B))) (All B, (All C, (((-. (v3_struct_0 T_0)) /\ ((l1_orders_2 T_0) /\ ((-. (v3_struct_0 B)) /\ ((l1_orders_2 B) /\ ((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 T_0) (u1_struct_0 B)) /\ (m1_relset_1 C (u1_struct_0 T_0) (u1_struct_0 B)))))))) => ((v1_orders_2 (k2_yellow_2 T_0 B C)) /\ ((v4_yellow_0 (k2_yellow_2 T_0 B C) B) /\ (m1_yellow_0 (k2_yellow_2 T_0 B C) B)))))) (m1_relset_1 T_1 (u1_struct_0 T_0) (u1_struct_0 T_0)) (v1_funct_2 T_1 (u1_struct_0 T_0) (u1_struct_0 T_0)) (v1_funct_1 T_1) (v2_lattice3 T_0) (l1_orders_2 T_0) (All A, ((l1_orders_2 A) => ((v2_lattice3 A) => (-. (v3_struct_0 A))))) (-. (l1_orders_2 (k2_yellow_2 T_0 T_0 T_1))) ### All 135
% 7.06/7.24 137. ((l1_orders_2 T_0) => (All B, ((m1_yellow_0 B T_0) => (l1_orders_2 B)))) (-. (l1_orders_2 (k2_yellow_2 T_0 T_0 T_1))) (All A, ((l1_orders_2 A) => ((v2_lattice3 A) => (-. (v3_struct_0 A))))) (v2_lattice3 T_0) (v1_funct_1 T_1) (v1_funct_2 T_1 (u1_struct_0 T_0) (u1_struct_0 T_0)) (m1_relset_1 T_1 (u1_struct_0 T_0) (u1_struct_0 T_0)) (All B, (All C, (((-. (v3_struct_0 T_0)) /\ ((l1_orders_2 T_0) /\ ((-. (v3_struct_0 B)) /\ ((l1_orders_2 B) /\ ((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 T_0) (u1_struct_0 B)) /\ (m1_relset_1 C (u1_struct_0 T_0) (u1_struct_0 B)))))))) => ((v1_orders_2 (k2_yellow_2 T_0 B C)) /\ ((v4_yellow_0 (k2_yellow_2 T_0 B C) B) /\ (m1_yellow_0 (k2_yellow_2 T_0 B C) B)))))) (l1_orders_2 T_0) ### Imply 123 136
% 7.06/7.24 138. (All A, ((l1_orders_2 A) => (All B, ((m1_yellow_0 B A) => (l1_orders_2 B))))) (l1_orders_2 T_0) (All B, (All C, (((-. (v3_struct_0 T_0)) /\ ((l1_orders_2 T_0) /\ ((-. (v3_struct_0 B)) /\ ((l1_orders_2 B) /\ ((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 T_0) (u1_struct_0 B)) /\ (m1_relset_1 C (u1_struct_0 T_0) (u1_struct_0 B)))))))) => ((v1_orders_2 (k2_yellow_2 T_0 B C)) /\ ((v4_yellow_0 (k2_yellow_2 T_0 B C) B) /\ (m1_yellow_0 (k2_yellow_2 T_0 B C) B)))))) (m1_relset_1 T_1 (u1_struct_0 T_0) (u1_struct_0 T_0)) (v1_funct_2 T_1 (u1_struct_0 T_0) (u1_struct_0 T_0)) (v1_funct_1 T_1) (v2_lattice3 T_0) (All A, ((l1_orders_2 A) => ((v2_lattice3 A) => (-. (v3_struct_0 A))))) (-. (l1_orders_2 (k2_yellow_2 T_0 T_0 T_1))) ### All 137
% 7.06/7.24 139. (All A, (All B, (All C, (((-. (v3_struct_0 A)) /\ ((l1_orders_2 A) /\ ((-. (v3_struct_0 B)) /\ ((l1_orders_2 B) /\ ((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 A) (u1_struct_0 B)) /\ (m1_relset_1 C (u1_struct_0 A) (u1_struct_0 B)))))))) => ((v1_orders_2 (k2_yellow_2 A B C)) /\ ((v4_yellow_0 (k2_yellow_2 A B C) B) /\ (m1_yellow_0 (k2_yellow_2 A B C) B))))))) (-. (l1_orders_2 (k2_yellow_2 T_0 T_0 T_1))) (All A, ((l1_orders_2 A) => ((v2_lattice3 A) => (-. (v3_struct_0 A))))) (v2_lattice3 T_0) (v1_funct_1 T_1) (v1_funct_2 T_1 (u1_struct_0 T_0) (u1_struct_0 T_0)) (m1_relset_1 T_1 (u1_struct_0 T_0) (u1_struct_0 T_0)) (l1_orders_2 T_0) (All A, ((l1_orders_2 A) => (All B, ((m1_yellow_0 B A) => (l1_orders_2 B))))) ### All 138
% 7.06/7.24 140. (v2_orders_2 T_0) (-. (v2_orders_2 T_0)) ### Axiom
% 7.06/7.24 141. (v3_orders_2 T_0) (-. (v3_orders_2 T_0)) ### Axiom
% 7.06/7.24 142. (v4_orders_2 T_0) (-. (v4_orders_2 T_0)) ### Axiom
% 7.06/7.24 143. (v1_lattice3 T_0) (-. (v1_lattice3 T_0)) ### Axiom
% 7.06/7.24 144. (v2_lattice3 T_0) (-. (v2_lattice3 T_0)) ### Axiom
% 7.06/7.24 145. (v3_lattice3 T_0) (-. (v3_lattice3 T_0)) ### Axiom
% 7.06/7.24 146. (v3_waybel_3 T_0) (-. (v3_waybel_3 T_0)) ### Axiom
% 7.06/7.24 147. (l1_orders_2 T_0) (-. (l1_orders_2 T_0)) ### Axiom
% 7.06/7.24 148. (l1_orders_2 T_0) (-. (l1_orders_2 T_0)) ### Axiom
% 7.06/7.24 149. (l1_orders_2 T_0) (-. (l1_orders_2 T_0)) ### Axiom
% 7.06/7.24 150. (v1_funct_1 T_1) (-. (v1_funct_1 T_1)) ### Axiom
% 7.06/7.24 151. (v1_funct_2 T_1 (u1_struct_0 T_0) (u1_struct_0 T_0)) (-. (v1_funct_2 T_1 (u1_struct_0 T_0) (u1_struct_0 T_0))) ### Axiom
% 7.06/7.24 152. (m1_relset_1 T_1 (u1_struct_0 T_0) (u1_struct_0 T_0)) (-. (m1_relset_1 T_1 (u1_struct_0 T_0) (u1_struct_0 T_0))) ### Axiom
% 7.06/7.24 153. (-. (v1_funct_1 (k3_waybel_1 T_0 T_0 T_1))) (v1_funct_1 (k3_waybel_1 T_0 T_0 T_1)) ### Axiom
% 7.06/7.24 154. ((v1_funct_1 (k3_waybel_1 T_0 T_0 T_1)) /\ ((v1_funct_2 (k3_waybel_1 T_0 T_0 T_1) (u1_struct_0 (k2_yellow_2 T_0 T_0 T_1)) (u1_struct_0 T_0)) /\ (m2_relset_1 (k3_waybel_1 T_0 T_0 T_1) (u1_struct_0 (k2_yellow_2 T_0 T_0 T_1)) (u1_struct_0 T_0)))) (-. (v1_funct_1 (k3_waybel_1 T_0 T_0 T_1))) ### ConjTree 153
% 7.06/7.24 155. (((-. (v3_struct_0 T_0)) /\ ((l1_orders_2 T_0) /\ ((-. (v3_struct_0 T_0)) /\ ((l1_orders_2 T_0) /\ ((v1_funct_1 T_1) /\ ((v1_funct_2 T_1 (u1_struct_0 T_0) (u1_struct_0 T_0)) /\ (m1_relset_1 T_1 (u1_struct_0 T_0) (u1_struct_0 T_0)))))))) => ((v1_funct_1 (k3_waybel_1 T_0 T_0 T_1)) /\ ((v1_funct_2 (k3_waybel_1 T_0 T_0 T_1) (u1_struct_0 (k2_yellow_2 T_0 T_0 T_1)) (u1_struct_0 T_0)) /\ (m2_relset_1 (k3_waybel_1 T_0 T_0 T_1) (u1_struct_0 (k2_yellow_2 T_0 T_0 T_1)) (u1_struct_0 T_0))))) (-. (v1_funct_1 (k3_waybel_1 T_0 T_0 T_1))) (m1_relset_1 T_1 (u1_struct_0 T_0) (u1_struct_0 T_0)) (v1_funct_2 T_1 (u1_struct_0 T_0) (u1_struct_0 T_0)) (v1_funct_1 T_1) (v2_lattice3 T_0) (l1_orders_2 T_0) (All A, ((l1_orders_2 A) => ((v2_lattice3 A) => (-. (v3_struct_0 A))))) ### DisjTree 27 148 27 149 150 151 152 154
% 7.06/7.24 156. (All C, (((-. (v3_struct_0 T_0)) /\ ((l1_orders_2 T_0) /\ ((-. (v3_struct_0 T_0)) /\ ((l1_orders_2 T_0) /\ ((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 T_0) (u1_struct_0 T_0)) /\ (m1_relset_1 C (u1_struct_0 T_0) (u1_struct_0 T_0)))))))) => ((v1_funct_1 (k3_waybel_1 T_0 T_0 C)) /\ ((v1_funct_2 (k3_waybel_1 T_0 T_0 C) (u1_struct_0 (k2_yellow_2 T_0 T_0 C)) (u1_struct_0 T_0)) /\ (m2_relset_1 (k3_waybel_1 T_0 T_0 C) (u1_struct_0 (k2_yellow_2 T_0 T_0 C)) (u1_struct_0 T_0)))))) (All A, ((l1_orders_2 A) => ((v2_lattice3 A) => (-. (v3_struct_0 A))))) (l1_orders_2 T_0) (v2_lattice3 T_0) (v1_funct_1 T_1) (v1_funct_2 T_1 (u1_struct_0 T_0) (u1_struct_0 T_0)) (m1_relset_1 T_1 (u1_struct_0 T_0) (u1_struct_0 T_0)) (-. (v1_funct_1 (k3_waybel_1 T_0 T_0 T_1))) ### All 155
% 7.06/7.24 157. (All B, (All C, (((-. (v3_struct_0 T_0)) /\ ((l1_orders_2 T_0) /\ ((-. (v3_struct_0 B)) /\ ((l1_orders_2 B) /\ ((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 T_0) (u1_struct_0 B)) /\ (m1_relset_1 C (u1_struct_0 T_0) (u1_struct_0 B)))))))) => ((v1_funct_1 (k3_waybel_1 T_0 B C)) /\ ((v1_funct_2 (k3_waybel_1 T_0 B C) (u1_struct_0 (k2_yellow_2 T_0 B C)) (u1_struct_0 B)) /\ (m2_relset_1 (k3_waybel_1 T_0 B C) (u1_struct_0 (k2_yellow_2 T_0 B C)) (u1_struct_0 B))))))) (-. (v1_funct_1 (k3_waybel_1 T_0 T_0 T_1))) (m1_relset_1 T_1 (u1_struct_0 T_0) (u1_struct_0 T_0)) (v1_funct_2 T_1 (u1_struct_0 T_0) (u1_struct_0 T_0)) (v1_funct_1 T_1) (v2_lattice3 T_0) (l1_orders_2 T_0) (All A, ((l1_orders_2 A) => ((v2_lattice3 A) => (-. (v3_struct_0 A))))) ### All 156
% 7.06/7.24 158. (All A, (All B, (All C, (((-. (v3_struct_0 A)) /\ ((l1_orders_2 A) /\ ((-. (v3_struct_0 B)) /\ ((l1_orders_2 B) /\ ((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 A) (u1_struct_0 B)) /\ (m1_relset_1 C (u1_struct_0 A) (u1_struct_0 B)))))))) => ((v1_funct_1 (k3_waybel_1 A B C)) /\ ((v1_funct_2 (k3_waybel_1 A B C) (u1_struct_0 (k2_yellow_2 A B C)) (u1_struct_0 B)) /\ (m2_relset_1 (k3_waybel_1 A B C) (u1_struct_0 (k2_yellow_2 A B C)) (u1_struct_0 B)))))))) (All A, ((l1_orders_2 A) => ((v2_lattice3 A) => (-. (v3_struct_0 A))))) (l1_orders_2 T_0) (v2_lattice3 T_0) (v1_funct_1 T_1) (v1_funct_2 T_1 (u1_struct_0 T_0) (u1_struct_0 T_0)) (m1_relset_1 T_1 (u1_struct_0 T_0) (u1_struct_0 T_0)) (-. (v1_funct_1 (k3_waybel_1 T_0 T_0 T_1))) ### All 157
% 7.10/7.27 159. (l1_orders_2 T_0) (-. (l1_orders_2 T_0)) ### Axiom
% 7.10/7.27 160. (l1_orders_2 T_0) (-. (l1_orders_2 T_0)) ### Axiom
% 7.10/7.27 161. (v1_funct_1 T_1) (-. (v1_funct_1 T_1)) ### Axiom
% 7.10/7.27 162. (v1_funct_2 T_1 (u1_struct_0 T_0) (u1_struct_0 T_0)) (-. (v1_funct_2 T_1 (u1_struct_0 T_0) (u1_struct_0 T_0))) ### Axiom
% 7.10/7.27 163. (m1_relset_1 T_1 (u1_struct_0 T_0) (u1_struct_0 T_0)) (-. (m1_relset_1 T_1 (u1_struct_0 T_0) (u1_struct_0 T_0))) ### Axiom
% 7.10/7.27 164. (-. (v1_funct_2 (k3_waybel_1 T_0 T_0 T_1) (u1_struct_0 (k2_yellow_2 T_0 T_0 T_1)) (u1_struct_0 T_0))) (v1_funct_2 (k3_waybel_1 T_0 T_0 T_1) (u1_struct_0 (k2_yellow_2 T_0 T_0 T_1)) (u1_struct_0 T_0)) ### Axiom
% 7.10/7.27 165. ((v1_funct_1 (k3_waybel_1 T_0 T_0 T_1)) /\ ((v1_funct_2 (k3_waybel_1 T_0 T_0 T_1) (u1_struct_0 (k2_yellow_2 T_0 T_0 T_1)) (u1_struct_0 T_0)) /\ (m2_relset_1 (k3_waybel_1 T_0 T_0 T_1) (u1_struct_0 (k2_yellow_2 T_0 T_0 T_1)) (u1_struct_0 T_0)))) (-. (v1_funct_2 (k3_waybel_1 T_0 T_0 T_1) (u1_struct_0 (k2_yellow_2 T_0 T_0 T_1)) (u1_struct_0 T_0))) ### ConjTree 164
% 7.10/7.27 166. (((-. (v3_struct_0 T_0)) /\ ((l1_orders_2 T_0) /\ ((-. (v3_struct_0 T_0)) /\ ((l1_orders_2 T_0) /\ ((v1_funct_1 T_1) /\ ((v1_funct_2 T_1 (u1_struct_0 T_0) (u1_struct_0 T_0)) /\ (m1_relset_1 T_1 (u1_struct_0 T_0) (u1_struct_0 T_0)))))))) => ((v1_funct_1 (k3_waybel_1 T_0 T_0 T_1)) /\ ((v1_funct_2 (k3_waybel_1 T_0 T_0 T_1) (u1_struct_0 (k2_yellow_2 T_0 T_0 T_1)) (u1_struct_0 T_0)) /\ (m2_relset_1 (k3_waybel_1 T_0 T_0 T_1) (u1_struct_0 (k2_yellow_2 T_0 T_0 T_1)) (u1_struct_0 T_0))))) (-. (v1_funct_2 (k3_waybel_1 T_0 T_0 T_1) (u1_struct_0 (k2_yellow_2 T_0 T_0 T_1)) (u1_struct_0 T_0))) (m1_relset_1 T_1 (u1_struct_0 T_0) (u1_struct_0 T_0)) (v1_funct_2 T_1 (u1_struct_0 T_0) (u1_struct_0 T_0)) (v1_funct_1 T_1) (v2_lattice3 T_0) (l1_orders_2 T_0) (All A, ((l1_orders_2 A) => ((v2_lattice3 A) => (-. (v3_struct_0 A))))) ### DisjTree 27 159 27 160 161 162 163 165
% 7.10/7.27 167. (All C, (((-. (v3_struct_0 T_0)) /\ ((l1_orders_2 T_0) /\ ((-. (v3_struct_0 T_0)) /\ ((l1_orders_2 T_0) /\ ((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 T_0) (u1_struct_0 T_0)) /\ (m1_relset_1 C (u1_struct_0 T_0) (u1_struct_0 T_0)))))))) => ((v1_funct_1 (k3_waybel_1 T_0 T_0 C)) /\ ((v1_funct_2 (k3_waybel_1 T_0 T_0 C) (u1_struct_0 (k2_yellow_2 T_0 T_0 C)) (u1_struct_0 T_0)) /\ (m2_relset_1 (k3_waybel_1 T_0 T_0 C) (u1_struct_0 (k2_yellow_2 T_0 T_0 C)) (u1_struct_0 T_0)))))) (All A, ((l1_orders_2 A) => ((v2_lattice3 A) => (-. (v3_struct_0 A))))) (l1_orders_2 T_0) (v2_lattice3 T_0) (v1_funct_1 T_1) (v1_funct_2 T_1 (u1_struct_0 T_0) (u1_struct_0 T_0)) (m1_relset_1 T_1 (u1_struct_0 T_0) (u1_struct_0 T_0)) (-. (v1_funct_2 (k3_waybel_1 T_0 T_0 T_1) (u1_struct_0 (k2_yellow_2 T_0 T_0 T_1)) (u1_struct_0 T_0))) ### All 166
% 7.10/7.27 168. (All B, (All C, (((-. (v3_struct_0 T_0)) /\ ((l1_orders_2 T_0) /\ ((-. (v3_struct_0 B)) /\ ((l1_orders_2 B) /\ ((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 T_0) (u1_struct_0 B)) /\ (m1_relset_1 C (u1_struct_0 T_0) (u1_struct_0 B)))))))) => ((v1_funct_1 (k3_waybel_1 T_0 B C)) /\ ((v1_funct_2 (k3_waybel_1 T_0 B C) (u1_struct_0 (k2_yellow_2 T_0 B C)) (u1_struct_0 B)) /\ (m2_relset_1 (k3_waybel_1 T_0 B C) (u1_struct_0 (k2_yellow_2 T_0 B C)) (u1_struct_0 B))))))) (-. (v1_funct_2 (k3_waybel_1 T_0 T_0 T_1) (u1_struct_0 (k2_yellow_2 T_0 T_0 T_1)) (u1_struct_0 T_0))) (m1_relset_1 T_1 (u1_struct_0 T_0) (u1_struct_0 T_0)) (v1_funct_2 T_1 (u1_struct_0 T_0) (u1_struct_0 T_0)) (v1_funct_1 T_1) (v2_lattice3 T_0) (l1_orders_2 T_0) (All A, ((l1_orders_2 A) => ((v2_lattice3 A) => (-. (v3_struct_0 A))))) ### All 167
% 7.10/7.27 169. (All A, (All B, (All C, (((-. (v3_struct_0 A)) /\ ((l1_orders_2 A) /\ ((-. (v3_struct_0 B)) /\ ((l1_orders_2 B) /\ ((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 A) (u1_struct_0 B)) /\ (m1_relset_1 C (u1_struct_0 A) (u1_struct_0 B)))))))) => ((v1_funct_1 (k3_waybel_1 A B C)) /\ ((v1_funct_2 (k3_waybel_1 A B C) (u1_struct_0 (k2_yellow_2 A B C)) (u1_struct_0 B)) /\ (m2_relset_1 (k3_waybel_1 A B C) (u1_struct_0 (k2_yellow_2 A B C)) (u1_struct_0 B)))))))) (All A, ((l1_orders_2 A) => ((v2_lattice3 A) => (-. (v3_struct_0 A))))) (l1_orders_2 T_0) (v2_lattice3 T_0) (v1_funct_1 T_1) (v1_funct_2 T_1 (u1_struct_0 T_0) (u1_struct_0 T_0)) (m1_relset_1 T_1 (u1_struct_0 T_0) (u1_struct_0 T_0)) (-. (v1_funct_2 (k3_waybel_1 T_0 T_0 T_1) (u1_struct_0 (k2_yellow_2 T_0 T_0 T_1)) (u1_struct_0 T_0))) ### All 168
% 7.10/7.27 170. (v17_waybel_0 (k3_waybel_1 T_0 T_0 T_1) (k2_yellow_2 T_0 T_0 T_1) T_0) (-. (v17_waybel_0 (k3_waybel_1 T_0 T_0 T_1) (k2_yellow_2 T_0 T_0 T_1) T_0)) ### Axiom
% 7.10/7.27 171. (l1_orders_2 T_0) (-. (l1_orders_2 T_0)) ### Axiom
% 7.10/7.27 172. (l1_orders_2 T_0) (-. (l1_orders_2 T_0)) ### Axiom
% 7.10/7.27 173. (v1_funct_1 T_1) (-. (v1_funct_1 T_1)) ### Axiom
% 7.10/7.27 174. (v1_funct_2 T_1 (u1_struct_0 T_0) (u1_struct_0 T_0)) (-. (v1_funct_2 T_1 (u1_struct_0 T_0) (u1_struct_0 T_0))) ### Axiom
% 7.10/7.27 175. (m1_relset_1 T_1 (u1_struct_0 T_0) (u1_struct_0 T_0)) (-. (m1_relset_1 T_1 (u1_struct_0 T_0) (u1_struct_0 T_0))) ### Axiom
% 7.10/7.27 176. (-. (m1_relset_1 (k3_waybel_1 T_0 T_0 T_1) (u1_struct_0 (k2_yellow_2 T_0 T_0 T_1)) (u1_struct_0 T_0))) (m1_relset_1 (k3_waybel_1 T_0 T_0 T_1) (u1_struct_0 (k2_yellow_2 T_0 T_0 T_1)) (u1_struct_0 T_0)) ### Axiom
% 7.10/7.27 177. (m2_relset_1 (k3_waybel_1 T_0 T_0 T_1) (u1_struct_0 (k2_yellow_2 T_0 T_0 T_1)) (u1_struct_0 T_0)) (-. (m1_relset_1 (k3_waybel_1 T_0 T_0 T_1) (u1_struct_0 (k2_yellow_2 T_0 T_0 T_1)) (u1_struct_0 T_0))) ### Definition-Pseudo(m2_relset_1) 176
% 7.10/7.27 178. ((v1_funct_1 (k3_waybel_1 T_0 T_0 T_1)) /\ ((v1_funct_2 (k3_waybel_1 T_0 T_0 T_1) (u1_struct_0 (k2_yellow_2 T_0 T_0 T_1)) (u1_struct_0 T_0)) /\ (m2_relset_1 (k3_waybel_1 T_0 T_0 T_1) (u1_struct_0 (k2_yellow_2 T_0 T_0 T_1)) (u1_struct_0 T_0)))) (-. (m1_relset_1 (k3_waybel_1 T_0 T_0 T_1) (u1_struct_0 (k2_yellow_2 T_0 T_0 T_1)) (u1_struct_0 T_0))) ### ConjTree 177
% 7.10/7.27 179. (((-. (v3_struct_0 T_0)) /\ ((l1_orders_2 T_0) /\ ((-. (v3_struct_0 T_0)) /\ ((l1_orders_2 T_0) /\ ((v1_funct_1 T_1) /\ ((v1_funct_2 T_1 (u1_struct_0 T_0) (u1_struct_0 T_0)) /\ (m1_relset_1 T_1 (u1_struct_0 T_0) (u1_struct_0 T_0)))))))) => ((v1_funct_1 (k3_waybel_1 T_0 T_0 T_1)) /\ ((v1_funct_2 (k3_waybel_1 T_0 T_0 T_1) (u1_struct_0 (k2_yellow_2 T_0 T_0 T_1)) (u1_struct_0 T_0)) /\ (m2_relset_1 (k3_waybel_1 T_0 T_0 T_1) (u1_struct_0 (k2_yellow_2 T_0 T_0 T_1)) (u1_struct_0 T_0))))) (-. (m1_relset_1 (k3_waybel_1 T_0 T_0 T_1) (u1_struct_0 (k2_yellow_2 T_0 T_0 T_1)) (u1_struct_0 T_0))) (m1_relset_1 T_1 (u1_struct_0 T_0) (u1_struct_0 T_0)) (v1_funct_2 T_1 (u1_struct_0 T_0) (u1_struct_0 T_0)) (v1_funct_1 T_1) (v2_lattice3 T_0) (l1_orders_2 T_0) (All A, ((l1_orders_2 A) => ((v2_lattice3 A) => (-. (v3_struct_0 A))))) ### DisjTree 27 171 27 172 173 174 175 178
% 7.10/7.27 180. (All C, (((-. (v3_struct_0 T_0)) /\ ((l1_orders_2 T_0) /\ ((-. (v3_struct_0 T_0)) /\ ((l1_orders_2 T_0) /\ ((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 T_0) (u1_struct_0 T_0)) /\ (m1_relset_1 C (u1_struct_0 T_0) (u1_struct_0 T_0)))))))) => ((v1_funct_1 (k3_waybel_1 T_0 T_0 C)) /\ ((v1_funct_2 (k3_waybel_1 T_0 T_0 C) (u1_struct_0 (k2_yellow_2 T_0 T_0 C)) (u1_struct_0 T_0)) /\ (m2_relset_1 (k3_waybel_1 T_0 T_0 C) (u1_struct_0 (k2_yellow_2 T_0 T_0 C)) (u1_struct_0 T_0)))))) (All A, ((l1_orders_2 A) => ((v2_lattice3 A) => (-. (v3_struct_0 A))))) (l1_orders_2 T_0) (v2_lattice3 T_0) (v1_funct_1 T_1) (v1_funct_2 T_1 (u1_struct_0 T_0) (u1_struct_0 T_0)) (m1_relset_1 T_1 (u1_struct_0 T_0) (u1_struct_0 T_0)) (-. (m1_relset_1 (k3_waybel_1 T_0 T_0 T_1) (u1_struct_0 (k2_yellow_2 T_0 T_0 T_1)) (u1_struct_0 T_0))) ### All 179
% 7.10/7.27 181. (All B, (All C, (((-. (v3_struct_0 T_0)) /\ ((l1_orders_2 T_0) /\ ((-. (v3_struct_0 B)) /\ ((l1_orders_2 B) /\ ((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 T_0) (u1_struct_0 B)) /\ (m1_relset_1 C (u1_struct_0 T_0) (u1_struct_0 B)))))))) => ((v1_funct_1 (k3_waybel_1 T_0 B C)) /\ ((v1_funct_2 (k3_waybel_1 T_0 B C) (u1_struct_0 (k2_yellow_2 T_0 B C)) (u1_struct_0 B)) /\ (m2_relset_1 (k3_waybel_1 T_0 B C) (u1_struct_0 (k2_yellow_2 T_0 B C)) (u1_struct_0 B))))))) (-. (m1_relset_1 (k3_waybel_1 T_0 T_0 T_1) (u1_struct_0 (k2_yellow_2 T_0 T_0 T_1)) (u1_struct_0 T_0))) (m1_relset_1 T_1 (u1_struct_0 T_0) (u1_struct_0 T_0)) (v1_funct_2 T_1 (u1_struct_0 T_0) (u1_struct_0 T_0)) (v1_funct_1 T_1) (v2_lattice3 T_0) (l1_orders_2 T_0) (All A, ((l1_orders_2 A) => ((v2_lattice3 A) => (-. (v3_struct_0 A))))) ### All 180
% 7.10/7.32 182. (All A, (All B, (All C, (((-. (v3_struct_0 A)) /\ ((l1_orders_2 A) /\ ((-. (v3_struct_0 B)) /\ ((l1_orders_2 B) /\ ((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 A) (u1_struct_0 B)) /\ (m1_relset_1 C (u1_struct_0 A) (u1_struct_0 B)))))))) => ((v1_funct_1 (k3_waybel_1 A B C)) /\ ((v1_funct_2 (k3_waybel_1 A B C) (u1_struct_0 (k2_yellow_2 A B C)) (u1_struct_0 B)) /\ (m2_relset_1 (k3_waybel_1 A B C) (u1_struct_0 (k2_yellow_2 A B C)) (u1_struct_0 B)))))))) (All A, ((l1_orders_2 A) => ((v2_lattice3 A) => (-. (v3_struct_0 A))))) (l1_orders_2 T_0) (v2_lattice3 T_0) (v1_funct_1 T_1) (v1_funct_2 T_1 (u1_struct_0 T_0) (u1_struct_0 T_0)) (m1_relset_1 T_1 (u1_struct_0 T_0) (u1_struct_0 T_0)) (-. (m1_relset_1 (k3_waybel_1 T_0 T_0 T_1) (u1_struct_0 (k2_yellow_2 T_0 T_0 T_1)) (u1_struct_0 T_0))) ### All 181
% 7.10/7.32 183. (-. (m2_relset_1 (k3_waybel_1 T_0 T_0 T_1) (u1_struct_0 (k2_yellow_2 T_0 T_0 T_1)) (u1_struct_0 T_0))) (m1_relset_1 T_1 (u1_struct_0 T_0) (u1_struct_0 T_0)) (v1_funct_2 T_1 (u1_struct_0 T_0) (u1_struct_0 T_0)) (v1_funct_1 T_1) (v2_lattice3 T_0) (l1_orders_2 T_0) (All A, ((l1_orders_2 A) => ((v2_lattice3 A) => (-. (v3_struct_0 A))))) (All A, (All B, (All C, (((-. (v3_struct_0 A)) /\ ((l1_orders_2 A) /\ ((-. (v3_struct_0 B)) /\ ((l1_orders_2 B) /\ ((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 A) (u1_struct_0 B)) /\ (m1_relset_1 C (u1_struct_0 A) (u1_struct_0 B)))))))) => ((v1_funct_1 (k3_waybel_1 A B C)) /\ ((v1_funct_2 (k3_waybel_1 A B C) (u1_struct_0 (k2_yellow_2 A B C)) (u1_struct_0 B)) /\ (m2_relset_1 (k3_waybel_1 A B C) (u1_struct_0 (k2_yellow_2 A B C)) (u1_struct_0 B)))))))) ### Definition-Pseudo(m2_relset_1) 182
% 7.10/7.32 184. ((k1_waybel34 (k2_yellow_2 T_0 T_0 T_1) T_0 (k3_waybel_1 T_0 T_0 T_1)) = (k2_waybel_1 T_0 T_0 T_1)) ((k2_waybel_1 T_0 T_0 T_1) != (k1_waybel34 (k2_yellow_2 T_0 T_0 T_1) T_0 (k3_waybel_1 T_0 T_0 T_1))) ### Sym(=)
% 7.10/7.32 185. (T_0 != T_0) ### Refl(=)
% 7.10/7.32 186. ((k2_yellow_2 T_0 T_0 T_1) != (k2_yellow_2 T_0 T_0 T_1)) ### Refl(=)
% 7.10/7.32 187. (-. (v1_waybel34 (k1_waybel34 (k2_yellow_2 T_0 T_0 T_1) T_0 (k3_waybel_1 T_0 T_0 T_1)) T_0 (k2_yellow_2 T_0 T_0 T_1))) (v1_waybel34 (k2_waybel_1 T_0 T_0 T_1) T_0 (k2_yellow_2 T_0 T_0 T_1)) ((k1_waybel34 (k2_yellow_2 T_0 T_0 T_1) T_0 (k3_waybel_1 T_0 T_0 T_1)) = (k2_waybel_1 T_0 T_0 T_1)) ### P-NotP 184 185 186
% 7.10/7.32 188. (-. (v22_waybel_0 (k3_waybel_1 T_0 T_0 T_1) (k2_yellow_2 T_0 T_0 T_1) T_0)) (v22_waybel_0 (k3_waybel_1 T_0 T_0 T_1) (k2_yellow_2 T_0 T_0 T_1) T_0) ### Axiom
% 7.10/7.32 189. (((v1_funct_1 (k3_waybel_1 T_0 T_0 T_1)) /\ ((v1_funct_2 (k3_waybel_1 T_0 T_0 T_1) (u1_struct_0 (k2_yellow_2 T_0 T_0 T_1)) (u1_struct_0 T_0)) /\ ((v17_waybel_0 (k3_waybel_1 T_0 T_0 T_1) (k2_yellow_2 T_0 T_0 T_1) T_0) /\ (m2_relset_1 (k3_waybel_1 T_0 T_0 T_1) (u1_struct_0 (k2_yellow_2 T_0 T_0 T_1)) (u1_struct_0 T_0))))) => ((v1_waybel34 (k1_waybel34 (k2_yellow_2 T_0 T_0 T_1) T_0 (k3_waybel_1 T_0 T_0 T_1)) T_0 (k2_yellow_2 T_0 T_0 T_1)) => (v22_waybel_0 (k3_waybel_1 T_0 T_0 T_1) (k2_yellow_2 T_0 T_0 T_1) T_0))) (-. (v22_waybel_0 (k3_waybel_1 T_0 T_0 T_1) (k2_yellow_2 T_0 T_0 T_1) T_0)) ((k1_waybel34 (k2_yellow_2 T_0 T_0 T_1) T_0 (k3_waybel_1 T_0 T_0 T_1)) = (k2_waybel_1 T_0 T_0 T_1)) (v1_waybel34 (k2_waybel_1 T_0 T_0 T_1) T_0 (k2_yellow_2 T_0 T_0 T_1)) (v17_waybel_0 (k3_waybel_1 T_0 T_0 T_1) (k2_yellow_2 T_0 T_0 T_1) T_0) (m1_relset_1 T_1 (u1_struct_0 T_0) (u1_struct_0 T_0)) (v1_funct_2 T_1 (u1_struct_0 T_0) (u1_struct_0 T_0)) (v1_funct_1 T_1) (v2_lattice3 T_0) (l1_orders_2 T_0) (All A, ((l1_orders_2 A) => ((v2_lattice3 A) => (-. (v3_struct_0 A))))) (All A, (All B, (All C, (((-. (v3_struct_0 A)) /\ ((l1_orders_2 A) /\ ((-. (v3_struct_0 B)) /\ ((l1_orders_2 B) /\ ((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 A) (u1_struct_0 B)) /\ (m1_relset_1 C (u1_struct_0 A) (u1_struct_0 B)))))))) => ((v1_funct_1 (k3_waybel_1 A B C)) /\ ((v1_funct_2 (k3_waybel_1 A B C) (u1_struct_0 (k2_yellow_2 A B C)) (u1_struct_0 B)) /\ (m2_relset_1 (k3_waybel_1 A B C) (u1_struct_0 (k2_yellow_2 A B C)) (u1_struct_0 B)))))))) ### DisjTree 158 169 170 183 187 188
% 7.10/7.32 190. (All C, (((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 (k2_yellow_2 T_0 T_0 T_1)) (u1_struct_0 T_0)) /\ ((v17_waybel_0 C (k2_yellow_2 T_0 T_0 T_1) T_0) /\ (m2_relset_1 C (u1_struct_0 (k2_yellow_2 T_0 T_0 T_1)) (u1_struct_0 T_0))))) => ((v1_waybel34 (k1_waybel34 (k2_yellow_2 T_0 T_0 T_1) T_0 C) T_0 (k2_yellow_2 T_0 T_0 T_1)) => (v22_waybel_0 C (k2_yellow_2 T_0 T_0 T_1) T_0)))) (All A, (All B, (All C, (((-. (v3_struct_0 A)) /\ ((l1_orders_2 A) /\ ((-. (v3_struct_0 B)) /\ ((l1_orders_2 B) /\ ((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 A) (u1_struct_0 B)) /\ (m1_relset_1 C (u1_struct_0 A) (u1_struct_0 B)))))))) => ((v1_funct_1 (k3_waybel_1 A B C)) /\ ((v1_funct_2 (k3_waybel_1 A B C) (u1_struct_0 (k2_yellow_2 A B C)) (u1_struct_0 B)) /\ (m2_relset_1 (k3_waybel_1 A B C) (u1_struct_0 (k2_yellow_2 A B C)) (u1_struct_0 B)))))))) (All A, ((l1_orders_2 A) => ((v2_lattice3 A) => (-. (v3_struct_0 A))))) (l1_orders_2 T_0) (v2_lattice3 T_0) (v1_funct_1 T_1) (v1_funct_2 T_1 (u1_struct_0 T_0) (u1_struct_0 T_0)) (m1_relset_1 T_1 (u1_struct_0 T_0) (u1_struct_0 T_0)) (v17_waybel_0 (k3_waybel_1 T_0 T_0 T_1) (k2_yellow_2 T_0 T_0 T_1) T_0) (v1_waybel34 (k2_waybel_1 T_0 T_0 T_1) T_0 (k2_yellow_2 T_0 T_0 T_1)) ((k1_waybel34 (k2_yellow_2 T_0 T_0 T_1) T_0 (k3_waybel_1 T_0 T_0 T_1)) = (k2_waybel_1 T_0 T_0 T_1)) (-. (v22_waybel_0 (k3_waybel_1 T_0 T_0 T_1) (k2_yellow_2 T_0 T_0 T_1) T_0)) ### All 189
% 7.10/7.32 191. (((v2_orders_2 T_0) /\ ((v3_orders_2 T_0) /\ ((v4_orders_2 T_0) /\ ((v1_lattice3 T_0) /\ ((v2_lattice3 T_0) /\ ((v3_lattice3 T_0) /\ ((v3_waybel_3 T_0) /\ (l1_orders_2 T_0)))))))) => (All C, (((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 (k2_yellow_2 T_0 T_0 T_1)) (u1_struct_0 T_0)) /\ ((v17_waybel_0 C (k2_yellow_2 T_0 T_0 T_1) T_0) /\ (m2_relset_1 C (u1_struct_0 (k2_yellow_2 T_0 T_0 T_1)) (u1_struct_0 T_0))))) => ((v1_waybel34 (k1_waybel34 (k2_yellow_2 T_0 T_0 T_1) T_0 C) T_0 (k2_yellow_2 T_0 T_0 T_1)) => (v22_waybel_0 C (k2_yellow_2 T_0 T_0 T_1) T_0))))) (-. (v22_waybel_0 (k3_waybel_1 T_0 T_0 T_1) (k2_yellow_2 T_0 T_0 T_1) T_0)) ((k1_waybel34 (k2_yellow_2 T_0 T_0 T_1) T_0 (k3_waybel_1 T_0 T_0 T_1)) = (k2_waybel_1 T_0 T_0 T_1)) (v1_waybel34 (k2_waybel_1 T_0 T_0 T_1) T_0 (k2_yellow_2 T_0 T_0 T_1)) (v17_waybel_0 (k3_waybel_1 T_0 T_0 T_1) (k2_yellow_2 T_0 T_0 T_1) T_0) (m1_relset_1 T_1 (u1_struct_0 T_0) (u1_struct_0 T_0)) (v1_funct_2 T_1 (u1_struct_0 T_0) (u1_struct_0 T_0)) (v1_funct_1 T_1) (All A, ((l1_orders_2 A) => ((v2_lattice3 A) => (-. (v3_struct_0 A))))) (All A, (All B, (All C, (((-. (v3_struct_0 A)) /\ ((l1_orders_2 A) /\ ((-. (v3_struct_0 B)) /\ ((l1_orders_2 B) /\ ((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 A) (u1_struct_0 B)) /\ (m1_relset_1 C (u1_struct_0 A) (u1_struct_0 B)))))))) => ((v1_funct_1 (k3_waybel_1 A B C)) /\ ((v1_funct_2 (k3_waybel_1 A B C) (u1_struct_0 (k2_yellow_2 A B C)) (u1_struct_0 B)) /\ (m2_relset_1 (k3_waybel_1 A B C) (u1_struct_0 (k2_yellow_2 A B C)) (u1_struct_0 B)))))))) (l1_orders_2 T_0) (v3_waybel_3 T_0) (v3_lattice3 T_0) (v2_lattice3 T_0) (v1_lattice3 T_0) (v4_orders_2 T_0) (v3_orders_2 T_0) (v2_orders_2 T_0) ### DisjTree 140 141 142 143 144 145 146 147 190
% 7.10/7.32 192. (All B, (((v2_orders_2 B) /\ ((v3_orders_2 B) /\ ((v4_orders_2 B) /\ ((v1_lattice3 B) /\ ((v2_lattice3 B) /\ ((v3_lattice3 B) /\ ((v3_waybel_3 B) /\ (l1_orders_2 B)))))))) => (All C, (((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 (k2_yellow_2 T_0 T_0 T_1)) (u1_struct_0 B)) /\ ((v17_waybel_0 C (k2_yellow_2 T_0 T_0 T_1) B) /\ (m2_relset_1 C (u1_struct_0 (k2_yellow_2 T_0 T_0 T_1)) (u1_struct_0 B))))) => ((v1_waybel34 (k1_waybel34 (k2_yellow_2 T_0 T_0 T_1) B C) B (k2_yellow_2 T_0 T_0 T_1)) => (v22_waybel_0 C (k2_yellow_2 T_0 T_0 T_1) B)))))) (v2_orders_2 T_0) (v3_orders_2 T_0) (v4_orders_2 T_0) (v1_lattice3 T_0) (v2_lattice3 T_0) (v3_lattice3 T_0) (v3_waybel_3 T_0) (l1_orders_2 T_0) (All A, (All B, (All C, (((-. (v3_struct_0 A)) /\ ((l1_orders_2 A) /\ ((-. (v3_struct_0 B)) /\ ((l1_orders_2 B) /\ ((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 A) (u1_struct_0 B)) /\ (m1_relset_1 C (u1_struct_0 A) (u1_struct_0 B)))))))) => ((v1_funct_1 (k3_waybel_1 A B C)) /\ ((v1_funct_2 (k3_waybel_1 A B C) (u1_struct_0 (k2_yellow_2 A B C)) (u1_struct_0 B)) /\ (m2_relset_1 (k3_waybel_1 A B C) (u1_struct_0 (k2_yellow_2 A B C)) (u1_struct_0 B)))))))) (All A, ((l1_orders_2 A) => ((v2_lattice3 A) => (-. (v3_struct_0 A))))) (v1_funct_1 T_1) (v1_funct_2 T_1 (u1_struct_0 T_0) (u1_struct_0 T_0)) (m1_relset_1 T_1 (u1_struct_0 T_0) (u1_struct_0 T_0)) (v17_waybel_0 (k3_waybel_1 T_0 T_0 T_1) (k2_yellow_2 T_0 T_0 T_1) T_0) (v1_waybel34 (k2_waybel_1 T_0 T_0 T_1) T_0 (k2_yellow_2 T_0 T_0 T_1)) ((k1_waybel34 (k2_yellow_2 T_0 T_0 T_1) T_0 (k3_waybel_1 T_0 T_0 T_1)) = (k2_waybel_1 T_0 T_0 T_1)) (-. (v22_waybel_0 (k3_waybel_1 T_0 T_0 T_1) (k2_yellow_2 T_0 T_0 T_1) T_0)) ### All 191
% 7.10/7.32 193. (((v2_orders_2 (k2_yellow_2 T_0 T_0 T_1)) /\ ((v3_orders_2 (k2_yellow_2 T_0 T_0 T_1)) /\ ((v4_orders_2 (k2_yellow_2 T_0 T_0 T_1)) /\ ((v1_lattice3 (k2_yellow_2 T_0 T_0 T_1)) /\ ((v2_lattice3 (k2_yellow_2 T_0 T_0 T_1)) /\ ((v3_lattice3 (k2_yellow_2 T_0 T_0 T_1)) /\ (l1_orders_2 (k2_yellow_2 T_0 T_0 T_1)))))))) => (All B, (((v2_orders_2 B) /\ ((v3_orders_2 B) /\ ((v4_orders_2 B) /\ ((v1_lattice3 B) /\ ((v2_lattice3 B) /\ ((v3_lattice3 B) /\ ((v3_waybel_3 B) /\ (l1_orders_2 B)))))))) => (All C, (((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 (k2_yellow_2 T_0 T_0 T_1)) (u1_struct_0 B)) /\ ((v17_waybel_0 C (k2_yellow_2 T_0 T_0 T_1) B) /\ (m2_relset_1 C (u1_struct_0 (k2_yellow_2 T_0 T_0 T_1)) (u1_struct_0 B))))) => ((v1_waybel34 (k1_waybel34 (k2_yellow_2 T_0 T_0 T_1) B C) B (k2_yellow_2 T_0 T_0 T_1)) => (v22_waybel_0 C (k2_yellow_2 T_0 T_0 T_1) B))))))) (-. (v22_waybel_0 (k3_waybel_1 T_0 T_0 T_1) (k2_yellow_2 T_0 T_0 T_1) T_0)) ((k1_waybel34 (k2_yellow_2 T_0 T_0 T_1) T_0 (k3_waybel_1 T_0 T_0 T_1)) = (k2_waybel_1 T_0 T_0 T_1)) (v1_waybel34 (k2_waybel_1 T_0 T_0 T_1) T_0 (k2_yellow_2 T_0 T_0 T_1)) (v17_waybel_0 (k3_waybel_1 T_0 T_0 T_1) (k2_yellow_2 T_0 T_0 T_1) T_0) (All A, (All B, (All C, (((-. (v3_struct_0 A)) /\ ((l1_orders_2 A) /\ ((-. (v3_struct_0 B)) /\ ((l1_orders_2 B) /\ ((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 A) (u1_struct_0 B)) /\ (m1_relset_1 C (u1_struct_0 A) (u1_struct_0 B)))))))) => ((v1_funct_1 (k3_waybel_1 A B C)) /\ ((v1_funct_2 (k3_waybel_1 A B C) (u1_struct_0 (k2_yellow_2 A B C)) (u1_struct_0 B)) /\ (m2_relset_1 (k3_waybel_1 A B C) (u1_struct_0 (k2_yellow_2 A B C)) (u1_struct_0 B)))))))) (v3_waybel_3 T_0) (All A, ((l1_orders_2 A) => (All B, ((m1_yellow_0 B A) => (l1_orders_2 B))))) (All A, (All B, (All C, (((-. (v3_struct_0 A)) /\ ((l1_orders_2 A) /\ ((-. (v3_struct_0 B)) /\ ((l1_orders_2 B) /\ ((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 A) (u1_struct_0 B)) /\ (m1_relset_1 C (u1_struct_0 A) (u1_struct_0 B)))))))) => ((v1_orders_2 (k2_yellow_2 A B C)) /\ ((v4_yellow_0 (k2_yellow_2 A B C) B) /\ (m1_yellow_0 (k2_yellow_2 A B C) B))))))) (v1_lattice3 T_0) (v3_lattice3 T_0) (All A, (((-. (v3_struct_0 A)) /\ (l1_orders_2 A)) => (All B, ((m1_relset_1 B (u1_struct_0 A) (u1_struct_0 A)) => (((v1_funct_1 B) /\ ((v1_funct_2 B (u1_struct_0 A) (u1_struct_0 A)) /\ (v7_waybel_1 B A))) => ((v1_funct_1 B) /\ ((-. (v1_xboole_0 B)) /\ ((v1_funct_2 B (u1_struct_0 A) (u1_struct_0 A)) /\ ((v1_partfun1 B (u1_struct_0 A) (u1_struct_0 A)) /\ (v6_waybel_1 B A)))))))))) (All A, (All B, (((v2_orders_2 A) /\ ((v3_orders_2 A) /\ ((v4_orders_2 A) /\ ((v1_lattice3 A) /\ ((v2_lattice3 A) /\ ((v3_lattice3 A) /\ ((l1_orders_2 A) /\ ((v1_funct_1 B) /\ ((v1_funct_2 B (u1_struct_0 A) (u1_struct_0 A)) /\ ((v6_waybel_1 B A) /\ (m1_relset_1 B (u1_struct_0 A) (u1_struct_0 A)))))))))))) => ((-. (v3_struct_0 (k2_yellow_2 A A B))) /\ ((v1_orders_2 (k2_yellow_2 A A B)) /\ ((v2_orders_2 (k2_yellow_2 A A B)) /\ ((v3_orders_2 (k2_yellow_2 A A B)) /\ ((v4_orders_2 (k2_yellow_2 A A B)) /\ ((v1_yellow_0 (k2_yellow_2 A A B)) /\ ((v2_yellow_0 (k2_yellow_2 A A B)) /\ ((v3_yellow_0 (k2_yellow_2 A A B)) /\ ((v4_yellow_0 (k2_yellow_2 A A B) A) /\ ((v24_waybel_0 (k2_yellow_2 A A B)) /\ ((v25_waybel_0 (k2_yellow_2 A A B)) /\ ((v1_lattice3 (k2_yellow_2 A A B)) /\ ((v2_lattice3 (k2_yellow_2 A A B)) /\ (v3_lattice3 (k2_yellow_2 A A B)))))))))))))))))) (All A, ((l1_orders_2 A) => ((v2_lattice3 A) => (-. (v3_struct_0 A))))) (l1_orders_2 T_0) (v2_lattice3 T_0) (v2_orders_2 T_0) (v3_orders_2 T_0) (v4_orders_2 T_0) (v1_funct_1 T_1) (v1_funct_2 T_1 (u1_struct_0 T_0) (u1_struct_0 T_0)) (v7_waybel_1 T_1 T_0) (m1_relset_1 T_1 (u1_struct_0 T_0) (u1_struct_0 T_0)) (All A, (All B, (((-. (v3_struct_0 A)) /\ ((v2_orders_2 A) /\ ((v3_orders_2 A) /\ ((v4_orders_2 A) /\ ((l1_orders_2 A) /\ ((v1_funct_1 B) /\ ((v1_funct_2 B (u1_struct_0 A) (u1_struct_0 A)) /\ ((v7_waybel_1 B A) /\ (m1_relset_1 B (u1_struct_0 A) (u1_struct_0 A)))))))))) => ((-. (v3_struct_0 (k2_yellow_2 A A B))) /\ ((v1_orders_2 (k2_yellow_2 A A B)) /\ ((v2_orders_2 (k2_yellow_2 A A B)) /\ ((v3_orders_2 (k2_yellow_2 A A B)) /\ ((v4_orders_2 (k2_yellow_2 A A B)) /\ ((v4_yellow_0 (k2_yellow_2 A A B) A) /\ ((v5_yellow_0 (k2_yellow_2 A A B) A) /\ ((v7_yellow_0 (k2_yellow_2 A A B) A) /\ (v3_waybel_0 (k2_yellow_2 A A B) A)))))))))))) ### DisjTree 40 53 66 92 107 122 139 192
% 7.10/7.32 194. (All A, (((v2_orders_2 A) /\ ((v3_orders_2 A) /\ ((v4_orders_2 A) /\ ((v1_lattice3 A) /\ ((v2_lattice3 A) /\ ((v3_lattice3 A) /\ (l1_orders_2 A))))))) => (All B, (((v2_orders_2 B) /\ ((v3_orders_2 B) /\ ((v4_orders_2 B) /\ ((v1_lattice3 B) /\ ((v2_lattice3 B) /\ ((v3_lattice3 B) /\ ((v3_waybel_3 B) /\ (l1_orders_2 B)))))))) => (All C, (((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 A) (u1_struct_0 B)) /\ ((v17_waybel_0 C A B) /\ (m2_relset_1 C (u1_struct_0 A) (u1_struct_0 B))))) => ((v1_waybel34 (k1_waybel34 A B C) B A) => (v22_waybel_0 C A B)))))))) (All A, (All B, (((-. (v3_struct_0 A)) /\ ((v2_orders_2 A) /\ ((v3_orders_2 A) /\ ((v4_orders_2 A) /\ ((l1_orders_2 A) /\ ((v1_funct_1 B) /\ ((v1_funct_2 B (u1_struct_0 A) (u1_struct_0 A)) /\ ((v7_waybel_1 B A) /\ (m1_relset_1 B (u1_struct_0 A) (u1_struct_0 A)))))))))) => ((-. (v3_struct_0 (k2_yellow_2 A A B))) /\ ((v1_orders_2 (k2_yellow_2 A A B)) /\ ((v2_orders_2 (k2_yellow_2 A A B)) /\ ((v3_orders_2 (k2_yellow_2 A A B)) /\ ((v4_orders_2 (k2_yellow_2 A A B)) /\ ((v4_yellow_0 (k2_yellow_2 A A B) A) /\ ((v5_yellow_0 (k2_yellow_2 A A B) A) /\ ((v7_yellow_0 (k2_yellow_2 A A B) A) /\ (v3_waybel_0 (k2_yellow_2 A A B) A)))))))))))) (m1_relset_1 T_1 (u1_struct_0 T_0) (u1_struct_0 T_0)) (v7_waybel_1 T_1 T_0) (v1_funct_2 T_1 (u1_struct_0 T_0) (u1_struct_0 T_0)) (v1_funct_1 T_1) (v4_orders_2 T_0) (v3_orders_2 T_0) (v2_orders_2 T_0) (v2_lattice3 T_0) (l1_orders_2 T_0) (All A, ((l1_orders_2 A) => ((v2_lattice3 A) => (-. (v3_struct_0 A))))) (All A, (All B, (((v2_orders_2 A) /\ ((v3_orders_2 A) /\ ((v4_orders_2 A) /\ ((v1_lattice3 A) /\ ((v2_lattice3 A) /\ ((v3_lattice3 A) /\ ((l1_orders_2 A) /\ ((v1_funct_1 B) /\ ((v1_funct_2 B (u1_struct_0 A) (u1_struct_0 A)) /\ ((v6_waybel_1 B A) /\ (m1_relset_1 B (u1_struct_0 A) (u1_struct_0 A)))))))))))) => ((-. (v3_struct_0 (k2_yellow_2 A A B))) /\ ((v1_orders_2 (k2_yellow_2 A A B)) /\ ((v2_orders_2 (k2_yellow_2 A A B)) /\ ((v3_orders_2 (k2_yellow_2 A A B)) /\ ((v4_orders_2 (k2_yellow_2 A A B)) /\ ((v1_yellow_0 (k2_yellow_2 A A B)) /\ ((v2_yellow_0 (k2_yellow_2 A A B)) /\ ((v3_yellow_0 (k2_yellow_2 A A B)) /\ ((v4_yellow_0 (k2_yellow_2 A A B) A) /\ ((v24_waybel_0 (k2_yellow_2 A A B)) /\ ((v25_waybel_0 (k2_yellow_2 A A B)) /\ ((v1_lattice3 (k2_yellow_2 A A B)) /\ ((v2_lattice3 (k2_yellow_2 A A B)) /\ (v3_lattice3 (k2_yellow_2 A A B)))))))))))))))))) (All A, (((-. (v3_struct_0 A)) /\ (l1_orders_2 A)) => (All B, ((m1_relset_1 B (u1_struct_0 A) (u1_struct_0 A)) => (((v1_funct_1 B) /\ ((v1_funct_2 B (u1_struct_0 A) (u1_struct_0 A)) /\ (v7_waybel_1 B A))) => ((v1_funct_1 B) /\ ((-. (v1_xboole_0 B)) /\ ((v1_funct_2 B (u1_struct_0 A) (u1_struct_0 A)) /\ ((v1_partfun1 B (u1_struct_0 A) (u1_struct_0 A)) /\ (v6_waybel_1 B A)))))))))) (v3_lattice3 T_0) (v1_lattice3 T_0) (All A, (All B, (All C, (((-. (v3_struct_0 A)) /\ ((l1_orders_2 A) /\ ((-. (v3_struct_0 B)) /\ ((l1_orders_2 B) /\ ((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 A) (u1_struct_0 B)) /\ (m1_relset_1 C (u1_struct_0 A) (u1_struct_0 B)))))))) => ((v1_orders_2 (k2_yellow_2 A B C)) /\ ((v4_yellow_0 (k2_yellow_2 A B C) B) /\ (m1_yellow_0 (k2_yellow_2 A B C) B))))))) (All A, ((l1_orders_2 A) => (All B, ((m1_yellow_0 B A) => (l1_orders_2 B))))) (v3_waybel_3 T_0) (All A, (All B, (All C, (((-. (v3_struct_0 A)) /\ ((l1_orders_2 A) /\ ((-. (v3_struct_0 B)) /\ ((l1_orders_2 B) /\ ((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 A) (u1_struct_0 B)) /\ (m1_relset_1 C (u1_struct_0 A) (u1_struct_0 B)))))))) => ((v1_funct_1 (k3_waybel_1 A B C)) /\ ((v1_funct_2 (k3_waybel_1 A B C) (u1_struct_0 (k2_yellow_2 A B C)) (u1_struct_0 B)) /\ (m2_relset_1 (k3_waybel_1 A B C) (u1_struct_0 (k2_yellow_2 A B C)) (u1_struct_0 B)))))))) (v17_waybel_0 (k3_waybel_1 T_0 T_0 T_1) (k2_yellow_2 T_0 T_0 T_1) T_0) (v1_waybel34 (k2_waybel_1 T_0 T_0 T_1) T_0 (k2_yellow_2 T_0 T_0 T_1)) ((k1_waybel34 (k2_yellow_2 T_0 T_0 T_1) T_0 (k3_waybel_1 T_0 T_0 T_1)) = (k2_waybel_1 T_0 T_0 T_1)) (-. (v22_waybel_0 (k3_waybel_1 T_0 T_0 T_1) (k2_yellow_2 T_0 T_0 T_1) T_0)) ### All 193
% 7.20/7.36 195. ((v18_waybel_0 (k2_waybel_1 T_0 T_0 T_1) T_0 (k2_yellow_2 T_0 T_0 T_1)) /\ ((v17_waybel_0 (k3_waybel_1 T_0 T_0 T_1) (k2_yellow_2 T_0 T_0 T_1) T_0) /\ (((k2_waybel34 (k2_yellow_2 T_0 T_0 T_1) T_0 (k2_waybel_1 T_0 T_0 T_1)) = (k3_waybel_1 T_0 T_0 T_1)) /\ ((k1_waybel34 (k2_yellow_2 T_0 T_0 T_1) T_0 (k3_waybel_1 T_0 T_0 T_1)) = (k2_waybel_1 T_0 T_0 T_1))))) (-. (v22_waybel_0 (k3_waybel_1 T_0 T_0 T_1) (k2_yellow_2 T_0 T_0 T_1) T_0)) (v1_waybel34 (k2_waybel_1 T_0 T_0 T_1) T_0 (k2_yellow_2 T_0 T_0 T_1)) (All A, (All B, (All C, (((-. (v3_struct_0 A)) /\ ((l1_orders_2 A) /\ ((-. (v3_struct_0 B)) /\ ((l1_orders_2 B) /\ ((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 A) (u1_struct_0 B)) /\ (m1_relset_1 C (u1_struct_0 A) (u1_struct_0 B)))))))) => ((v1_funct_1 (k3_waybel_1 A B C)) /\ ((v1_funct_2 (k3_waybel_1 A B C) (u1_struct_0 (k2_yellow_2 A B C)) (u1_struct_0 B)) /\ (m2_relset_1 (k3_waybel_1 A B C) (u1_struct_0 (k2_yellow_2 A B C)) (u1_struct_0 B)))))))) (v3_waybel_3 T_0) (All A, ((l1_orders_2 A) => (All B, ((m1_yellow_0 B A) => (l1_orders_2 B))))) (All A, (All B, (All C, (((-. (v3_struct_0 A)) /\ ((l1_orders_2 A) /\ ((-. (v3_struct_0 B)) /\ ((l1_orders_2 B) /\ ((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 A) (u1_struct_0 B)) /\ (m1_relset_1 C (u1_struct_0 A) (u1_struct_0 B)))))))) => ((v1_orders_2 (k2_yellow_2 A B C)) /\ ((v4_yellow_0 (k2_yellow_2 A B C) B) /\ (m1_yellow_0 (k2_yellow_2 A B C) B))))))) (v1_lattice3 T_0) (v3_lattice3 T_0) (All A, (((-. (v3_struct_0 A)) /\ (l1_orders_2 A)) => (All B, ((m1_relset_1 B (u1_struct_0 A) (u1_struct_0 A)) => (((v1_funct_1 B) /\ ((v1_funct_2 B (u1_struct_0 A) (u1_struct_0 A)) /\ (v7_waybel_1 B A))) => ((v1_funct_1 B) /\ ((-. (v1_xboole_0 B)) /\ ((v1_funct_2 B (u1_struct_0 A) (u1_struct_0 A)) /\ ((v1_partfun1 B (u1_struct_0 A) (u1_struct_0 A)) /\ (v6_waybel_1 B A)))))))))) (All A, (All B, (((v2_orders_2 A) /\ ((v3_orders_2 A) /\ ((v4_orders_2 A) /\ ((v1_lattice3 A) /\ ((v2_lattice3 A) /\ ((v3_lattice3 A) /\ ((l1_orders_2 A) /\ ((v1_funct_1 B) /\ ((v1_funct_2 B (u1_struct_0 A) (u1_struct_0 A)) /\ ((v6_waybel_1 B A) /\ (m1_relset_1 B (u1_struct_0 A) (u1_struct_0 A)))))))))))) => ((-. (v3_struct_0 (k2_yellow_2 A A B))) /\ ((v1_orders_2 (k2_yellow_2 A A B)) /\ ((v2_orders_2 (k2_yellow_2 A A B)) /\ ((v3_orders_2 (k2_yellow_2 A A B)) /\ ((v4_orders_2 (k2_yellow_2 A A B)) /\ ((v1_yellow_0 (k2_yellow_2 A A B)) /\ ((v2_yellow_0 (k2_yellow_2 A A B)) /\ ((v3_yellow_0 (k2_yellow_2 A A B)) /\ ((v4_yellow_0 (k2_yellow_2 A A B) A) /\ ((v24_waybel_0 (k2_yellow_2 A A B)) /\ ((v25_waybel_0 (k2_yellow_2 A A B)) /\ ((v1_lattice3 (k2_yellow_2 A A B)) /\ ((v2_lattice3 (k2_yellow_2 A A B)) /\ (v3_lattice3 (k2_yellow_2 A A B)))))))))))))))))) (All A, ((l1_orders_2 A) => ((v2_lattice3 A) => (-. (v3_struct_0 A))))) (l1_orders_2 T_0) (v2_lattice3 T_0) (v2_orders_2 T_0) (v3_orders_2 T_0) (v4_orders_2 T_0) (v1_funct_1 T_1) (v1_funct_2 T_1 (u1_struct_0 T_0) (u1_struct_0 T_0)) (v7_waybel_1 T_1 T_0) (m1_relset_1 T_1 (u1_struct_0 T_0) (u1_struct_0 T_0)) (All A, (All B, (((-. (v3_struct_0 A)) /\ ((v2_orders_2 A) /\ ((v3_orders_2 A) /\ ((v4_orders_2 A) /\ ((l1_orders_2 A) /\ ((v1_funct_1 B) /\ ((v1_funct_2 B (u1_struct_0 A) (u1_struct_0 A)) /\ ((v7_waybel_1 B A) /\ (m1_relset_1 B (u1_struct_0 A) (u1_struct_0 A)))))))))) => ((-. (v3_struct_0 (k2_yellow_2 A A B))) /\ ((v1_orders_2 (k2_yellow_2 A A B)) /\ ((v2_orders_2 (k2_yellow_2 A A B)) /\ ((v3_orders_2 (k2_yellow_2 A A B)) /\ ((v4_orders_2 (k2_yellow_2 A A B)) /\ ((v4_yellow_0 (k2_yellow_2 A A B) A) /\ ((v5_yellow_0 (k2_yellow_2 A A B) A) /\ ((v7_yellow_0 (k2_yellow_2 A A B) A) /\ (v3_waybel_0 (k2_yellow_2 A A B) A)))))))))))) (All A, (((v2_orders_2 A) /\ ((v3_orders_2 A) /\ ((v4_orders_2 A) /\ ((v1_lattice3 A) /\ ((v2_lattice3 A) /\ ((v3_lattice3 A) /\ (l1_orders_2 A))))))) => (All B, (((v2_orders_2 B) /\ ((v3_orders_2 B) /\ ((v4_orders_2 B) /\ ((v1_lattice3 B) /\ ((v2_lattice3 B) /\ ((v3_lattice3 B) /\ ((v3_waybel_3 B) /\ (l1_orders_2 B)))))))) => (All C, (((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 A) (u1_struct_0 B)) /\ ((v17_waybel_0 C A B) /\ (m2_relset_1 C (u1_struct_0 A) (u1_struct_0 B))))) => ((v1_waybel34 (k1_waybel34 A B C) B A) => (v22_waybel_0 C A B)))))))) ### ConjTree 194
% 7.20/7.36 196. (((v1_funct_1 T_1) /\ ((v1_funct_2 T_1 (u1_struct_0 T_0) (u1_struct_0 T_0)) /\ ((v7_waybel_1 T_1 T_0) /\ (m2_relset_1 T_1 (u1_struct_0 T_0) (u1_struct_0 T_0))))) => ((v18_waybel_0 (k2_waybel_1 T_0 T_0 T_1) T_0 (k2_yellow_2 T_0 T_0 T_1)) /\ ((v17_waybel_0 (k3_waybel_1 T_0 T_0 T_1) (k2_yellow_2 T_0 T_0 T_1) T_0) /\ (((k2_waybel34 (k2_yellow_2 T_0 T_0 T_1) T_0 (k2_waybel_1 T_0 T_0 T_1)) = (k3_waybel_1 T_0 T_0 T_1)) /\ ((k1_waybel34 (k2_yellow_2 T_0 T_0 T_1) T_0 (k3_waybel_1 T_0 T_0 T_1)) = (k2_waybel_1 T_0 T_0 T_1)))))) (All A, (((v2_orders_2 A) /\ ((v3_orders_2 A) /\ ((v4_orders_2 A) /\ ((v1_lattice3 A) /\ ((v2_lattice3 A) /\ ((v3_lattice3 A) /\ (l1_orders_2 A))))))) => (All B, (((v2_orders_2 B) /\ ((v3_orders_2 B) /\ ((v4_orders_2 B) /\ ((v1_lattice3 B) /\ ((v2_lattice3 B) /\ ((v3_lattice3 B) /\ ((v3_waybel_3 B) /\ (l1_orders_2 B)))))))) => (All C, (((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 A) (u1_struct_0 B)) /\ ((v17_waybel_0 C A B) /\ (m2_relset_1 C (u1_struct_0 A) (u1_struct_0 B))))) => ((v1_waybel34 (k1_waybel34 A B C) B A) => (v22_waybel_0 C A B)))))))) (All A, (All B, (((-. (v3_struct_0 A)) /\ ((v2_orders_2 A) /\ ((v3_orders_2 A) /\ ((v4_orders_2 A) /\ ((l1_orders_2 A) /\ ((v1_funct_1 B) /\ ((v1_funct_2 B (u1_struct_0 A) (u1_struct_0 A)) /\ ((v7_waybel_1 B A) /\ (m1_relset_1 B (u1_struct_0 A) (u1_struct_0 A)))))))))) => ((-. (v3_struct_0 (k2_yellow_2 A A B))) /\ ((v1_orders_2 (k2_yellow_2 A A B)) /\ ((v2_orders_2 (k2_yellow_2 A A B)) /\ ((v3_orders_2 (k2_yellow_2 A A B)) /\ ((v4_orders_2 (k2_yellow_2 A A B)) /\ ((v4_yellow_0 (k2_yellow_2 A A B) A) /\ ((v5_yellow_0 (k2_yellow_2 A A B) A) /\ ((v7_yellow_0 (k2_yellow_2 A A B) A) /\ (v3_waybel_0 (k2_yellow_2 A A B) A)))))))))))) (v4_orders_2 T_0) (v3_orders_2 T_0) (v2_orders_2 T_0) (v2_lattice3 T_0) (l1_orders_2 T_0) (All A, ((l1_orders_2 A) => ((v2_lattice3 A) => (-. (v3_struct_0 A))))) (All A, (All B, (((v2_orders_2 A) /\ ((v3_orders_2 A) /\ ((v4_orders_2 A) /\ ((v1_lattice3 A) /\ ((v2_lattice3 A) /\ ((v3_lattice3 A) /\ ((l1_orders_2 A) /\ ((v1_funct_1 B) /\ ((v1_funct_2 B (u1_struct_0 A) (u1_struct_0 A)) /\ ((v6_waybel_1 B A) /\ (m1_relset_1 B (u1_struct_0 A) (u1_struct_0 A)))))))))))) => ((-. (v3_struct_0 (k2_yellow_2 A A B))) /\ ((v1_orders_2 (k2_yellow_2 A A B)) /\ ((v2_orders_2 (k2_yellow_2 A A B)) /\ ((v3_orders_2 (k2_yellow_2 A A B)) /\ ((v4_orders_2 (k2_yellow_2 A A B)) /\ ((v1_yellow_0 (k2_yellow_2 A A B)) /\ ((v2_yellow_0 (k2_yellow_2 A A B)) /\ ((v3_yellow_0 (k2_yellow_2 A A B)) /\ ((v4_yellow_0 (k2_yellow_2 A A B) A) /\ ((v24_waybel_0 (k2_yellow_2 A A B)) /\ ((v25_waybel_0 (k2_yellow_2 A A B)) /\ ((v1_lattice3 (k2_yellow_2 A A B)) /\ ((v2_lattice3 (k2_yellow_2 A A B)) /\ (v3_lattice3 (k2_yellow_2 A A B)))))))))))))))))) (All A, (((-. (v3_struct_0 A)) /\ (l1_orders_2 A)) => (All B, ((m1_relset_1 B (u1_struct_0 A) (u1_struct_0 A)) => (((v1_funct_1 B) /\ ((v1_funct_2 B (u1_struct_0 A) (u1_struct_0 A)) /\ (v7_waybel_1 B A))) => ((v1_funct_1 B) /\ ((-. (v1_xboole_0 B)) /\ ((v1_funct_2 B (u1_struct_0 A) (u1_struct_0 A)) /\ ((v1_partfun1 B (u1_struct_0 A) (u1_struct_0 A)) /\ (v6_waybel_1 B A)))))))))) (v3_lattice3 T_0) (v1_lattice3 T_0) (All A, (All B, (All C, (((-. (v3_struct_0 A)) /\ ((l1_orders_2 A) /\ ((-. (v3_struct_0 B)) /\ ((l1_orders_2 B) /\ ((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 A) (u1_struct_0 B)) /\ (m1_relset_1 C (u1_struct_0 A) (u1_struct_0 B)))))))) => ((v1_orders_2 (k2_yellow_2 A B C)) /\ ((v4_yellow_0 (k2_yellow_2 A B C) B) /\ (m1_yellow_0 (k2_yellow_2 A B C) B))))))) (All A, ((l1_orders_2 A) => (All B, ((m1_yellow_0 B A) => (l1_orders_2 B))))) (v3_waybel_3 T_0) (All A, (All B, (All C, (((-. (v3_struct_0 A)) /\ ((l1_orders_2 A) /\ ((-. (v3_struct_0 B)) /\ ((l1_orders_2 B) /\ ((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 A) (u1_struct_0 B)) /\ (m1_relset_1 C (u1_struct_0 A) (u1_struct_0 B)))))))) => ((v1_funct_1 (k3_waybel_1 A B C)) /\ ((v1_funct_2 (k3_waybel_1 A B C) (u1_struct_0 (k2_yellow_2 A B C)) (u1_struct_0 B)) /\ (m2_relset_1 (k3_waybel_1 A B C) (u1_struct_0 (k2_yellow_2 A B C)) (u1_struct_0 B)))))))) (v1_waybel34 (k2_waybel_1 T_0 T_0 T_1) T_0 (k2_yellow_2 T_0 T_0 T_1)) (-. (v22_waybel_0 (k3_waybel_1 T_0 T_0 T_1) (k2_yellow_2 T_0 T_0 T_1) T_0)) (m1_relset_1 T_1 (u1_struct_0 T_0) (u1_struct_0 T_0)) (v7_waybel_1 T_1 T_0) (v1_funct_2 T_1 (u1_struct_0 T_0) (u1_struct_0 T_0)) (v1_funct_1 T_1) ### DisjTree 20 21 22 12 195
% 7.20/7.37 197. (All B, (((v1_funct_1 B) /\ ((v1_funct_2 B (u1_struct_0 T_0) (u1_struct_0 T_0)) /\ ((v7_waybel_1 B T_0) /\ (m2_relset_1 B (u1_struct_0 T_0) (u1_struct_0 T_0))))) => ((v18_waybel_0 (k2_waybel_1 T_0 T_0 B) T_0 (k2_yellow_2 T_0 T_0 B)) /\ ((v17_waybel_0 (k3_waybel_1 T_0 T_0 B) (k2_yellow_2 T_0 T_0 B) T_0) /\ (((k2_waybel34 (k2_yellow_2 T_0 T_0 B) T_0 (k2_waybel_1 T_0 T_0 B)) = (k3_waybel_1 T_0 T_0 B)) /\ ((k1_waybel34 (k2_yellow_2 T_0 T_0 B) T_0 (k3_waybel_1 T_0 T_0 B)) = (k2_waybel_1 T_0 T_0 B))))))) (v1_funct_1 T_1) (v1_funct_2 T_1 (u1_struct_0 T_0) (u1_struct_0 T_0)) (v7_waybel_1 T_1 T_0) (m1_relset_1 T_1 (u1_struct_0 T_0) (u1_struct_0 T_0)) (-. (v22_waybel_0 (k3_waybel_1 T_0 T_0 T_1) (k2_yellow_2 T_0 T_0 T_1) T_0)) (v1_waybel34 (k2_waybel_1 T_0 T_0 T_1) T_0 (k2_yellow_2 T_0 T_0 T_1)) (All A, (All B, (All C, (((-. (v3_struct_0 A)) /\ ((l1_orders_2 A) /\ ((-. (v3_struct_0 B)) /\ ((l1_orders_2 B) /\ ((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 A) (u1_struct_0 B)) /\ (m1_relset_1 C (u1_struct_0 A) (u1_struct_0 B)))))))) => ((v1_funct_1 (k3_waybel_1 A B C)) /\ ((v1_funct_2 (k3_waybel_1 A B C) (u1_struct_0 (k2_yellow_2 A B C)) (u1_struct_0 B)) /\ (m2_relset_1 (k3_waybel_1 A B C) (u1_struct_0 (k2_yellow_2 A B C)) (u1_struct_0 B)))))))) (v3_waybel_3 T_0) (All A, ((l1_orders_2 A) => (All B, ((m1_yellow_0 B A) => (l1_orders_2 B))))) (All A, (All B, (All C, (((-. (v3_struct_0 A)) /\ ((l1_orders_2 A) /\ ((-. (v3_struct_0 B)) /\ ((l1_orders_2 B) /\ ((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 A) (u1_struct_0 B)) /\ (m1_relset_1 C (u1_struct_0 A) (u1_struct_0 B)))))))) => ((v1_orders_2 (k2_yellow_2 A B C)) /\ ((v4_yellow_0 (k2_yellow_2 A B C) B) /\ (m1_yellow_0 (k2_yellow_2 A B C) B))))))) (v1_lattice3 T_0) (v3_lattice3 T_0) (All A, (((-. (v3_struct_0 A)) /\ (l1_orders_2 A)) => (All B, ((m1_relset_1 B (u1_struct_0 A) (u1_struct_0 A)) => (((v1_funct_1 B) /\ ((v1_funct_2 B (u1_struct_0 A) (u1_struct_0 A)) /\ (v7_waybel_1 B A))) => ((v1_funct_1 B) /\ ((-. (v1_xboole_0 B)) /\ ((v1_funct_2 B (u1_struct_0 A) (u1_struct_0 A)) /\ ((v1_partfun1 B (u1_struct_0 A) (u1_struct_0 A)) /\ (v6_waybel_1 B A)))))))))) (All A, (All B, (((v2_orders_2 A) /\ ((v3_orders_2 A) /\ ((v4_orders_2 A) /\ ((v1_lattice3 A) /\ ((v2_lattice3 A) /\ ((v3_lattice3 A) /\ ((l1_orders_2 A) /\ ((v1_funct_1 B) /\ ((v1_funct_2 B (u1_struct_0 A) (u1_struct_0 A)) /\ ((v6_waybel_1 B A) /\ (m1_relset_1 B (u1_struct_0 A) (u1_struct_0 A)))))))))))) => ((-. (v3_struct_0 (k2_yellow_2 A A B))) /\ ((v1_orders_2 (k2_yellow_2 A A B)) /\ ((v2_orders_2 (k2_yellow_2 A A B)) /\ ((v3_orders_2 (k2_yellow_2 A A B)) /\ ((v4_orders_2 (k2_yellow_2 A A B)) /\ ((v1_yellow_0 (k2_yellow_2 A A B)) /\ ((v2_yellow_0 (k2_yellow_2 A A B)) /\ ((v3_yellow_0 (k2_yellow_2 A A B)) /\ ((v4_yellow_0 (k2_yellow_2 A A B) A) /\ ((v24_waybel_0 (k2_yellow_2 A A B)) /\ ((v25_waybel_0 (k2_yellow_2 A A B)) /\ ((v1_lattice3 (k2_yellow_2 A A B)) /\ ((v2_lattice3 (k2_yellow_2 A A B)) /\ (v3_lattice3 (k2_yellow_2 A A B)))))))))))))))))) (All A, ((l1_orders_2 A) => ((v2_lattice3 A) => (-. (v3_struct_0 A))))) (l1_orders_2 T_0) (v2_lattice3 T_0) (v2_orders_2 T_0) (v3_orders_2 T_0) (v4_orders_2 T_0) (All A, (All B, (((-. (v3_struct_0 A)) /\ ((v2_orders_2 A) /\ ((v3_orders_2 A) /\ ((v4_orders_2 A) /\ ((l1_orders_2 A) /\ ((v1_funct_1 B) /\ ((v1_funct_2 B (u1_struct_0 A) (u1_struct_0 A)) /\ ((v7_waybel_1 B A) /\ (m1_relset_1 B (u1_struct_0 A) (u1_struct_0 A)))))))))) => ((-. (v3_struct_0 (k2_yellow_2 A A B))) /\ ((v1_orders_2 (k2_yellow_2 A A B)) /\ ((v2_orders_2 (k2_yellow_2 A A B)) /\ ((v3_orders_2 (k2_yellow_2 A A B)) /\ ((v4_orders_2 (k2_yellow_2 A A B)) /\ ((v4_yellow_0 (k2_yellow_2 A A B) A) /\ ((v5_yellow_0 (k2_yellow_2 A A B) A) /\ ((v7_yellow_0 (k2_yellow_2 A A B) A) /\ (v3_waybel_0 (k2_yellow_2 A A B) A)))))))))))) (All A, (((v2_orders_2 A) /\ ((v3_orders_2 A) /\ ((v4_orders_2 A) /\ ((v1_lattice3 A) /\ ((v2_lattice3 A) /\ ((v3_lattice3 A) /\ (l1_orders_2 A))))))) => (All B, (((v2_orders_2 B) /\ ((v3_orders_2 B) /\ ((v4_orders_2 B) /\ ((v1_lattice3 B) /\ ((v2_lattice3 B) /\ ((v3_lattice3 B) /\ ((v3_waybel_3 B) /\ (l1_orders_2 B)))))))) => (All C, (((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 A) (u1_struct_0 B)) /\ ((v17_waybel_0 C A B) /\ (m2_relset_1 C (u1_struct_0 A) (u1_struct_0 B))))) => ((v1_waybel34 (k1_waybel34 A B C) B A) => (v22_waybel_0 C A B)))))))) ### All 196
% 7.20/7.37 198. (((v2_orders_2 T_0) /\ ((v3_orders_2 T_0) /\ ((v4_orders_2 T_0) /\ ((v1_lattice3 T_0) /\ ((v2_lattice3 T_0) /\ ((v3_lattice3 T_0) /\ (l1_orders_2 T_0))))))) => (All B, (((v1_funct_1 B) /\ ((v1_funct_2 B (u1_struct_0 T_0) (u1_struct_0 T_0)) /\ ((v7_waybel_1 B T_0) /\ (m2_relset_1 B (u1_struct_0 T_0) (u1_struct_0 T_0))))) => ((v18_waybel_0 (k2_waybel_1 T_0 T_0 B) T_0 (k2_yellow_2 T_0 T_0 B)) /\ ((v17_waybel_0 (k3_waybel_1 T_0 T_0 B) (k2_yellow_2 T_0 T_0 B) T_0) /\ (((k2_waybel34 (k2_yellow_2 T_0 T_0 B) T_0 (k2_waybel_1 T_0 T_0 B)) = (k3_waybel_1 T_0 T_0 B)) /\ ((k1_waybel34 (k2_yellow_2 T_0 T_0 B) T_0 (k3_waybel_1 T_0 T_0 B)) = (k2_waybel_1 T_0 T_0 B)))))))) (All A, (((v2_orders_2 A) /\ ((v3_orders_2 A) /\ ((v4_orders_2 A) /\ ((v1_lattice3 A) /\ ((v2_lattice3 A) /\ ((v3_lattice3 A) /\ (l1_orders_2 A))))))) => (All B, (((v2_orders_2 B) /\ ((v3_orders_2 B) /\ ((v4_orders_2 B) /\ ((v1_lattice3 B) /\ ((v2_lattice3 B) /\ ((v3_lattice3 B) /\ ((v3_waybel_3 B) /\ (l1_orders_2 B)))))))) => (All C, (((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 A) (u1_struct_0 B)) /\ ((v17_waybel_0 C A B) /\ (m2_relset_1 C (u1_struct_0 A) (u1_struct_0 B))))) => ((v1_waybel34 (k1_waybel34 A B C) B A) => (v22_waybel_0 C A B)))))))) (All A, (All B, (((-. (v3_struct_0 A)) /\ ((v2_orders_2 A) /\ ((v3_orders_2 A) /\ ((v4_orders_2 A) /\ ((l1_orders_2 A) /\ ((v1_funct_1 B) /\ ((v1_funct_2 B (u1_struct_0 A) (u1_struct_0 A)) /\ ((v7_waybel_1 B A) /\ (m1_relset_1 B (u1_struct_0 A) (u1_struct_0 A)))))))))) => ((-. (v3_struct_0 (k2_yellow_2 A A B))) /\ ((v1_orders_2 (k2_yellow_2 A A B)) /\ ((v2_orders_2 (k2_yellow_2 A A B)) /\ ((v3_orders_2 (k2_yellow_2 A A B)) /\ ((v4_orders_2 (k2_yellow_2 A A B)) /\ ((v4_yellow_0 (k2_yellow_2 A A B) A) /\ ((v5_yellow_0 (k2_yellow_2 A A B) A) /\ ((v7_yellow_0 (k2_yellow_2 A A B) A) /\ (v3_waybel_0 (k2_yellow_2 A A B) A)))))))))))) (All A, ((l1_orders_2 A) => ((v2_lattice3 A) => (-. (v3_struct_0 A))))) (All A, (All B, (((v2_orders_2 A) /\ ((v3_orders_2 A) /\ ((v4_orders_2 A) /\ ((v1_lattice3 A) /\ ((v2_lattice3 A) /\ ((v3_lattice3 A) /\ ((l1_orders_2 A) /\ ((v1_funct_1 B) /\ ((v1_funct_2 B (u1_struct_0 A) (u1_struct_0 A)) /\ ((v6_waybel_1 B A) /\ (m1_relset_1 B (u1_struct_0 A) (u1_struct_0 A)))))))))))) => ((-. (v3_struct_0 (k2_yellow_2 A A B))) /\ ((v1_orders_2 (k2_yellow_2 A A B)) /\ ((v2_orders_2 (k2_yellow_2 A A B)) /\ ((v3_orders_2 (k2_yellow_2 A A B)) /\ ((v4_orders_2 (k2_yellow_2 A A B)) /\ ((v1_yellow_0 (k2_yellow_2 A A B)) /\ ((v2_yellow_0 (k2_yellow_2 A A B)) /\ ((v3_yellow_0 (k2_yellow_2 A A B)) /\ ((v4_yellow_0 (k2_yellow_2 A A B) A) /\ ((v24_waybel_0 (k2_yellow_2 A A B)) /\ ((v25_waybel_0 (k2_yellow_2 A A B)) /\ ((v1_lattice3 (k2_yellow_2 A A B)) /\ ((v2_lattice3 (k2_yellow_2 A A B)) /\ (v3_lattice3 (k2_yellow_2 A A B)))))))))))))))))) (All A, (((-. (v3_struct_0 A)) /\ (l1_orders_2 A)) => (All B, ((m1_relset_1 B (u1_struct_0 A) (u1_struct_0 A)) => (((v1_funct_1 B) /\ ((v1_funct_2 B (u1_struct_0 A) (u1_struct_0 A)) /\ (v7_waybel_1 B A))) => ((v1_funct_1 B) /\ ((-. (v1_xboole_0 B)) /\ ((v1_funct_2 B (u1_struct_0 A) (u1_struct_0 A)) /\ ((v1_partfun1 B (u1_struct_0 A) (u1_struct_0 A)) /\ (v6_waybel_1 B A)))))))))) (All A, (All B, (All C, (((-. (v3_struct_0 A)) /\ ((l1_orders_2 A) /\ ((-. (v3_struct_0 B)) /\ ((l1_orders_2 B) /\ ((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 A) (u1_struct_0 B)) /\ (m1_relset_1 C (u1_struct_0 A) (u1_struct_0 B)))))))) => ((v1_orders_2 (k2_yellow_2 A B C)) /\ ((v4_yellow_0 (k2_yellow_2 A B C) B) /\ (m1_yellow_0 (k2_yellow_2 A B C) B))))))) (All A, ((l1_orders_2 A) => (All B, ((m1_yellow_0 B A) => (l1_orders_2 B))))) (v3_waybel_3 T_0) (All A, (All B, (All C, (((-. (v3_struct_0 A)) /\ ((l1_orders_2 A) /\ ((-. (v3_struct_0 B)) /\ ((l1_orders_2 B) /\ ((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 A) (u1_struct_0 B)) /\ (m1_relset_1 C (u1_struct_0 A) (u1_struct_0 B)))))))) => ((v1_funct_1 (k3_waybel_1 A B C)) /\ ((v1_funct_2 (k3_waybel_1 A B C) (u1_struct_0 (k2_yellow_2 A B C)) (u1_struct_0 B)) /\ (m2_relset_1 (k3_waybel_1 A B C) (u1_struct_0 (k2_yellow_2 A B C)) (u1_struct_0 B)))))))) (v1_waybel34 (k2_waybel_1 T_0 T_0 T_1) T_0 (k2_yellow_2 T_0 T_0 T_1)) (-. (v22_waybel_0 (k3_waybel_1 T_0 T_0 T_1) (k2_yellow_2 T_0 T_0 T_1) T_0)) (m1_relset_1 T_1 (u1_struct_0 T_0) (u1_struct_0 T_0)) (v7_waybel_1 T_1 T_0) (v1_funct_2 T_1 (u1_struct_0 T_0) (u1_struct_0 T_0)) (v1_funct_1 T_1) (l1_orders_2 T_0) (v3_lattice3 T_0) (v2_lattice3 T_0) (v1_lattice3 T_0) (v4_orders_2 T_0) (v3_orders_2 T_0) (v2_orders_2 T_0) ### DisjTree 13 14 15 16 17 18 19 197
% 7.20/7.38 199. (All A, (((v2_orders_2 A) /\ ((v3_orders_2 A) /\ ((v4_orders_2 A) /\ ((v1_lattice3 A) /\ ((v2_lattice3 A) /\ ((v3_lattice3 A) /\ (l1_orders_2 A))))))) => (All B, (((v1_funct_1 B) /\ ((v1_funct_2 B (u1_struct_0 A) (u1_struct_0 A)) /\ ((v7_waybel_1 B A) /\ (m2_relset_1 B (u1_struct_0 A) (u1_struct_0 A))))) => ((v18_waybel_0 (k2_waybel_1 A A B) A (k2_yellow_2 A A B)) /\ ((v17_waybel_0 (k3_waybel_1 A A B) (k2_yellow_2 A A B) A) /\ (((k2_waybel34 (k2_yellow_2 A A B) A (k2_waybel_1 A A B)) = (k3_waybel_1 A A B)) /\ ((k1_waybel34 (k2_yellow_2 A A B) A (k3_waybel_1 A A B)) = (k2_waybel_1 A A B))))))))) (v2_orders_2 T_0) (v3_orders_2 T_0) (v4_orders_2 T_0) (v1_lattice3 T_0) (v2_lattice3 T_0) (v3_lattice3 T_0) (l1_orders_2 T_0) (v1_funct_1 T_1) (v1_funct_2 T_1 (u1_struct_0 T_0) (u1_struct_0 T_0)) (v7_waybel_1 T_1 T_0) (m1_relset_1 T_1 (u1_struct_0 T_0) (u1_struct_0 T_0)) (-. (v22_waybel_0 (k3_waybel_1 T_0 T_0 T_1) (k2_yellow_2 T_0 T_0 T_1) T_0)) (v1_waybel34 (k2_waybel_1 T_0 T_0 T_1) T_0 (k2_yellow_2 T_0 T_0 T_1)) (All A, (All B, (All C, (((-. (v3_struct_0 A)) /\ ((l1_orders_2 A) /\ ((-. (v3_struct_0 B)) /\ ((l1_orders_2 B) /\ ((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 A) (u1_struct_0 B)) /\ (m1_relset_1 C (u1_struct_0 A) (u1_struct_0 B)))))))) => ((v1_funct_1 (k3_waybel_1 A B C)) /\ ((v1_funct_2 (k3_waybel_1 A B C) (u1_struct_0 (k2_yellow_2 A B C)) (u1_struct_0 B)) /\ (m2_relset_1 (k3_waybel_1 A B C) (u1_struct_0 (k2_yellow_2 A B C)) (u1_struct_0 B)))))))) (v3_waybel_3 T_0) (All A, ((l1_orders_2 A) => (All B, ((m1_yellow_0 B A) => (l1_orders_2 B))))) (All A, (All B, (All C, (((-. (v3_struct_0 A)) /\ ((l1_orders_2 A) /\ ((-. (v3_struct_0 B)) /\ ((l1_orders_2 B) /\ ((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 A) (u1_struct_0 B)) /\ (m1_relset_1 C (u1_struct_0 A) (u1_struct_0 B)))))))) => ((v1_orders_2 (k2_yellow_2 A B C)) /\ ((v4_yellow_0 (k2_yellow_2 A B C) B) /\ (m1_yellow_0 (k2_yellow_2 A B C) B))))))) (All A, (((-. (v3_struct_0 A)) /\ (l1_orders_2 A)) => (All B, ((m1_relset_1 B (u1_struct_0 A) (u1_struct_0 A)) => (((v1_funct_1 B) /\ ((v1_funct_2 B (u1_struct_0 A) (u1_struct_0 A)) /\ (v7_waybel_1 B A))) => ((v1_funct_1 B) /\ ((-. (v1_xboole_0 B)) /\ ((v1_funct_2 B (u1_struct_0 A) (u1_struct_0 A)) /\ ((v1_partfun1 B (u1_struct_0 A) (u1_struct_0 A)) /\ (v6_waybel_1 B A)))))))))) (All A, (All B, (((v2_orders_2 A) /\ ((v3_orders_2 A) /\ ((v4_orders_2 A) /\ ((v1_lattice3 A) /\ ((v2_lattice3 A) /\ ((v3_lattice3 A) /\ ((l1_orders_2 A) /\ ((v1_funct_1 B) /\ ((v1_funct_2 B (u1_struct_0 A) (u1_struct_0 A)) /\ ((v6_waybel_1 B A) /\ (m1_relset_1 B (u1_struct_0 A) (u1_struct_0 A)))))))))))) => ((-. (v3_struct_0 (k2_yellow_2 A A B))) /\ ((v1_orders_2 (k2_yellow_2 A A B)) /\ ((v2_orders_2 (k2_yellow_2 A A B)) /\ ((v3_orders_2 (k2_yellow_2 A A B)) /\ ((v4_orders_2 (k2_yellow_2 A A B)) /\ ((v1_yellow_0 (k2_yellow_2 A A B)) /\ ((v2_yellow_0 (k2_yellow_2 A A B)) /\ ((v3_yellow_0 (k2_yellow_2 A A B)) /\ ((v4_yellow_0 (k2_yellow_2 A A B) A) /\ ((v24_waybel_0 (k2_yellow_2 A A B)) /\ ((v25_waybel_0 (k2_yellow_2 A A B)) /\ ((v1_lattice3 (k2_yellow_2 A A B)) /\ ((v2_lattice3 (k2_yellow_2 A A B)) /\ (v3_lattice3 (k2_yellow_2 A A B)))))))))))))))))) (All A, ((l1_orders_2 A) => ((v2_lattice3 A) => (-. (v3_struct_0 A))))) (All A, (All B, (((-. (v3_struct_0 A)) /\ ((v2_orders_2 A) /\ ((v3_orders_2 A) /\ ((v4_orders_2 A) /\ ((l1_orders_2 A) /\ ((v1_funct_1 B) /\ ((v1_funct_2 B (u1_struct_0 A) (u1_struct_0 A)) /\ ((v7_waybel_1 B A) /\ (m1_relset_1 B (u1_struct_0 A) (u1_struct_0 A)))))))))) => ((-. (v3_struct_0 (k2_yellow_2 A A B))) /\ ((v1_orders_2 (k2_yellow_2 A A B)) /\ ((v2_orders_2 (k2_yellow_2 A A B)) /\ ((v3_orders_2 (k2_yellow_2 A A B)) /\ ((v4_orders_2 (k2_yellow_2 A A B)) /\ ((v4_yellow_0 (k2_yellow_2 A A B) A) /\ ((v5_yellow_0 (k2_yellow_2 A A B) A) /\ ((v7_yellow_0 (k2_yellow_2 A A B) A) /\ (v3_waybel_0 (k2_yellow_2 A A B) A)))))))))))) (All A, (((v2_orders_2 A) /\ ((v3_orders_2 A) /\ ((v4_orders_2 A) /\ ((v1_lattice3 A) /\ ((v2_lattice3 A) /\ ((v3_lattice3 A) /\ (l1_orders_2 A))))))) => (All B, (((v2_orders_2 B) /\ ((v3_orders_2 B) /\ ((v4_orders_2 B) /\ ((v1_lattice3 B) /\ ((v2_lattice3 B) /\ ((v3_lattice3 B) /\ ((v3_waybel_3 B) /\ (l1_orders_2 B)))))))) => (All C, (((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 A) (u1_struct_0 B)) /\ ((v17_waybel_0 C A B) /\ (m2_relset_1 C (u1_struct_0 A) (u1_struct_0 B))))) => ((v1_waybel34 (k1_waybel34 A B C) B A) => (v22_waybel_0 C A B)))))))) ### All 198
% 7.20/7.38 200. (-. (v4_waybel_0 (k2_yellow_2 T_0 T_0 T_1) T_0)) (v4_waybel_0 (k2_yellow_2 T_0 T_0 T_1) T_0) ### Axiom
% 7.20/7.38 201. ((v4_waybel_0 (k2_yellow_2 T_0 T_0 T_1) T_0) <=> (v22_waybel_0 (k3_waybel_1 T_0 T_0 T_1) (k2_yellow_2 T_0 T_0 T_1) T_0)) (-. (v4_waybel_0 (k2_yellow_2 T_0 T_0 T_1) T_0)) (All A, (((v2_orders_2 A) /\ ((v3_orders_2 A) /\ ((v4_orders_2 A) /\ ((v1_lattice3 A) /\ ((v2_lattice3 A) /\ ((v3_lattice3 A) /\ (l1_orders_2 A))))))) => (All B, (((v2_orders_2 B) /\ ((v3_orders_2 B) /\ ((v4_orders_2 B) /\ ((v1_lattice3 B) /\ ((v2_lattice3 B) /\ ((v3_lattice3 B) /\ ((v3_waybel_3 B) /\ (l1_orders_2 B)))))))) => (All C, (((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 A) (u1_struct_0 B)) /\ ((v17_waybel_0 C A B) /\ (m2_relset_1 C (u1_struct_0 A) (u1_struct_0 B))))) => ((v1_waybel34 (k1_waybel34 A B C) B A) => (v22_waybel_0 C A B)))))))) (All A, (All B, (((-. (v3_struct_0 A)) /\ ((v2_orders_2 A) /\ ((v3_orders_2 A) /\ ((v4_orders_2 A) /\ ((l1_orders_2 A) /\ ((v1_funct_1 B) /\ ((v1_funct_2 B (u1_struct_0 A) (u1_struct_0 A)) /\ ((v7_waybel_1 B A) /\ (m1_relset_1 B (u1_struct_0 A) (u1_struct_0 A)))))))))) => ((-. (v3_struct_0 (k2_yellow_2 A A B))) /\ ((v1_orders_2 (k2_yellow_2 A A B)) /\ ((v2_orders_2 (k2_yellow_2 A A B)) /\ ((v3_orders_2 (k2_yellow_2 A A B)) /\ ((v4_orders_2 (k2_yellow_2 A A B)) /\ ((v4_yellow_0 (k2_yellow_2 A A B) A) /\ ((v5_yellow_0 (k2_yellow_2 A A B) A) /\ ((v7_yellow_0 (k2_yellow_2 A A B) A) /\ (v3_waybel_0 (k2_yellow_2 A A B) A)))))))))))) (All A, ((l1_orders_2 A) => ((v2_lattice3 A) => (-. (v3_struct_0 A))))) (All A, (All B, (((v2_orders_2 A) /\ ((v3_orders_2 A) /\ ((v4_orders_2 A) /\ ((v1_lattice3 A) /\ ((v2_lattice3 A) /\ ((v3_lattice3 A) /\ ((l1_orders_2 A) /\ ((v1_funct_1 B) /\ ((v1_funct_2 B (u1_struct_0 A) (u1_struct_0 A)) /\ ((v6_waybel_1 B A) /\ (m1_relset_1 B (u1_struct_0 A) (u1_struct_0 A)))))))))))) => ((-. (v3_struct_0 (k2_yellow_2 A A B))) /\ ((v1_orders_2 (k2_yellow_2 A A B)) /\ ((v2_orders_2 (k2_yellow_2 A A B)) /\ ((v3_orders_2 (k2_yellow_2 A A B)) /\ ((v4_orders_2 (k2_yellow_2 A A B)) /\ ((v1_yellow_0 (k2_yellow_2 A A B)) /\ ((v2_yellow_0 (k2_yellow_2 A A B)) /\ ((v3_yellow_0 (k2_yellow_2 A A B)) /\ ((v4_yellow_0 (k2_yellow_2 A A B) A) /\ ((v24_waybel_0 (k2_yellow_2 A A B)) /\ ((v25_waybel_0 (k2_yellow_2 A A B)) /\ ((v1_lattice3 (k2_yellow_2 A A B)) /\ ((v2_lattice3 (k2_yellow_2 A A B)) /\ (v3_lattice3 (k2_yellow_2 A A B)))))))))))))))))) (All A, (((-. (v3_struct_0 A)) /\ (l1_orders_2 A)) => (All B, ((m1_relset_1 B (u1_struct_0 A) (u1_struct_0 A)) => (((v1_funct_1 B) /\ ((v1_funct_2 B (u1_struct_0 A) (u1_struct_0 A)) /\ (v7_waybel_1 B A))) => ((v1_funct_1 B) /\ ((-. (v1_xboole_0 B)) /\ ((v1_funct_2 B (u1_struct_0 A) (u1_struct_0 A)) /\ ((v1_partfun1 B (u1_struct_0 A) (u1_struct_0 A)) /\ (v6_waybel_1 B A)))))))))) (All A, (All B, (All C, (((-. (v3_struct_0 A)) /\ ((l1_orders_2 A) /\ ((-. (v3_struct_0 B)) /\ ((l1_orders_2 B) /\ ((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 A) (u1_struct_0 B)) /\ (m1_relset_1 C (u1_struct_0 A) (u1_struct_0 B)))))))) => ((v1_orders_2 (k2_yellow_2 A B C)) /\ ((v4_yellow_0 (k2_yellow_2 A B C) B) /\ (m1_yellow_0 (k2_yellow_2 A B C) B))))))) (All A, ((l1_orders_2 A) => (All B, ((m1_yellow_0 B A) => (l1_orders_2 B))))) (v3_waybel_3 T_0) (All A, (All B, (All C, (((-. (v3_struct_0 A)) /\ ((l1_orders_2 A) /\ ((-. (v3_struct_0 B)) /\ ((l1_orders_2 B) /\ ((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 A) (u1_struct_0 B)) /\ (m1_relset_1 C (u1_struct_0 A) (u1_struct_0 B)))))))) => ((v1_funct_1 (k3_waybel_1 A B C)) /\ ((v1_funct_2 (k3_waybel_1 A B C) (u1_struct_0 (k2_yellow_2 A B C)) (u1_struct_0 B)) /\ (m2_relset_1 (k3_waybel_1 A B C) (u1_struct_0 (k2_yellow_2 A B C)) (u1_struct_0 B)))))))) (v1_waybel34 (k2_waybel_1 T_0 T_0 T_1) T_0 (k2_yellow_2 T_0 T_0 T_1)) (m1_relset_1 T_1 (u1_struct_0 T_0) (u1_struct_0 T_0)) (v7_waybel_1 T_1 T_0) (v1_funct_2 T_1 (u1_struct_0 T_0) (u1_struct_0 T_0)) (v1_funct_1 T_1) (l1_orders_2 T_0) (v3_lattice3 T_0) (v2_lattice3 T_0) (v1_lattice3 T_0) (v4_orders_2 T_0) (v3_orders_2 T_0) (v2_orders_2 T_0) (All A, (((v2_orders_2 A) /\ ((v3_orders_2 A) /\ ((v4_orders_2 A) /\ ((v1_lattice3 A) /\ ((v2_lattice3 A) /\ ((v3_lattice3 A) /\ (l1_orders_2 A))))))) => (All B, (((v1_funct_1 B) /\ ((v1_funct_2 B (u1_struct_0 A) (u1_struct_0 A)) /\ ((v7_waybel_1 B A) /\ (m2_relset_1 B (u1_struct_0 A) (u1_struct_0 A))))) => ((v18_waybel_0 (k2_waybel_1 A A B) A (k2_yellow_2 A A B)) /\ ((v17_waybel_0 (k3_waybel_1 A A B) (k2_yellow_2 A A B) A) /\ (((k2_waybel34 (k2_yellow_2 A A B) A (k2_waybel_1 A A B)) = (k3_waybel_1 A A B)) /\ ((k1_waybel34 (k2_yellow_2 A A B) A (k3_waybel_1 A A B)) = (k2_waybel_1 A A B))))))))) ### Equiv 199 200
% 7.20/7.38 202. (((v1_funct_1 T_1) /\ ((v1_funct_2 T_1 (u1_struct_0 T_0) (u1_struct_0 T_0)) /\ ((v7_waybel_1 T_1 T_0) /\ (m2_relset_1 T_1 (u1_struct_0 T_0) (u1_struct_0 T_0))))) => ((v4_waybel_0 (k2_yellow_2 T_0 T_0 T_1) T_0) <=> (v22_waybel_0 (k3_waybel_1 T_0 T_0 T_1) (k2_yellow_2 T_0 T_0 T_1) T_0))) (All A, (((v2_orders_2 A) /\ ((v3_orders_2 A) /\ ((v4_orders_2 A) /\ ((v1_lattice3 A) /\ ((v2_lattice3 A) /\ ((v3_lattice3 A) /\ (l1_orders_2 A))))))) => (All B, (((v1_funct_1 B) /\ ((v1_funct_2 B (u1_struct_0 A) (u1_struct_0 A)) /\ ((v7_waybel_1 B A) /\ (m2_relset_1 B (u1_struct_0 A) (u1_struct_0 A))))) => ((v18_waybel_0 (k2_waybel_1 A A B) A (k2_yellow_2 A A B)) /\ ((v17_waybel_0 (k3_waybel_1 A A B) (k2_yellow_2 A A B) A) /\ (((k2_waybel34 (k2_yellow_2 A A B) A (k2_waybel_1 A A B)) = (k3_waybel_1 A A B)) /\ ((k1_waybel34 (k2_yellow_2 A A B) A (k3_waybel_1 A A B)) = (k2_waybel_1 A A B))))))))) (v2_orders_2 T_0) (v3_orders_2 T_0) (v4_orders_2 T_0) (v1_lattice3 T_0) (v2_lattice3 T_0) (v3_lattice3 T_0) (l1_orders_2 T_0) (v1_waybel34 (k2_waybel_1 T_0 T_0 T_1) T_0 (k2_yellow_2 T_0 T_0 T_1)) (All A, (All B, (All C, (((-. (v3_struct_0 A)) /\ ((l1_orders_2 A) /\ ((-. (v3_struct_0 B)) /\ ((l1_orders_2 B) /\ ((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 A) (u1_struct_0 B)) /\ (m1_relset_1 C (u1_struct_0 A) (u1_struct_0 B)))))))) => ((v1_funct_1 (k3_waybel_1 A B C)) /\ ((v1_funct_2 (k3_waybel_1 A B C) (u1_struct_0 (k2_yellow_2 A B C)) (u1_struct_0 B)) /\ (m2_relset_1 (k3_waybel_1 A B C) (u1_struct_0 (k2_yellow_2 A B C)) (u1_struct_0 B)))))))) (v3_waybel_3 T_0) (All A, ((l1_orders_2 A) => (All B, ((m1_yellow_0 B A) => (l1_orders_2 B))))) (All A, (All B, (All C, (((-. (v3_struct_0 A)) /\ ((l1_orders_2 A) /\ ((-. (v3_struct_0 B)) /\ ((l1_orders_2 B) /\ ((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 A) (u1_struct_0 B)) /\ (m1_relset_1 C (u1_struct_0 A) (u1_struct_0 B)))))))) => ((v1_orders_2 (k2_yellow_2 A B C)) /\ ((v4_yellow_0 (k2_yellow_2 A B C) B) /\ (m1_yellow_0 (k2_yellow_2 A B C) B))))))) (All A, (((-. (v3_struct_0 A)) /\ (l1_orders_2 A)) => (All B, ((m1_relset_1 B (u1_struct_0 A) (u1_struct_0 A)) => (((v1_funct_1 B) /\ ((v1_funct_2 B (u1_struct_0 A) (u1_struct_0 A)) /\ (v7_waybel_1 B A))) => ((v1_funct_1 B) /\ ((-. (v1_xboole_0 B)) /\ ((v1_funct_2 B (u1_struct_0 A) (u1_struct_0 A)) /\ ((v1_partfun1 B (u1_struct_0 A) (u1_struct_0 A)) /\ (v6_waybel_1 B A)))))))))) (All A, (All B, (((v2_orders_2 A) /\ ((v3_orders_2 A) /\ ((v4_orders_2 A) /\ ((v1_lattice3 A) /\ ((v2_lattice3 A) /\ ((v3_lattice3 A) /\ ((l1_orders_2 A) /\ ((v1_funct_1 B) /\ ((v1_funct_2 B (u1_struct_0 A) (u1_struct_0 A)) /\ ((v6_waybel_1 B A) /\ (m1_relset_1 B (u1_struct_0 A) (u1_struct_0 A)))))))))))) => ((-. (v3_struct_0 (k2_yellow_2 A A B))) /\ ((v1_orders_2 (k2_yellow_2 A A B)) /\ ((v2_orders_2 (k2_yellow_2 A A B)) /\ ((v3_orders_2 (k2_yellow_2 A A B)) /\ ((v4_orders_2 (k2_yellow_2 A A B)) /\ ((v1_yellow_0 (k2_yellow_2 A A B)) /\ ((v2_yellow_0 (k2_yellow_2 A A B)) /\ ((v3_yellow_0 (k2_yellow_2 A A B)) /\ ((v4_yellow_0 (k2_yellow_2 A A B) A) /\ ((v24_waybel_0 (k2_yellow_2 A A B)) /\ ((v25_waybel_0 (k2_yellow_2 A A B)) /\ ((v1_lattice3 (k2_yellow_2 A A B)) /\ ((v2_lattice3 (k2_yellow_2 A A B)) /\ (v3_lattice3 (k2_yellow_2 A A B)))))))))))))))))) (All A, ((l1_orders_2 A) => ((v2_lattice3 A) => (-. (v3_struct_0 A))))) (All A, (All B, (((-. (v3_struct_0 A)) /\ ((v2_orders_2 A) /\ ((v3_orders_2 A) /\ ((v4_orders_2 A) /\ ((l1_orders_2 A) /\ ((v1_funct_1 B) /\ ((v1_funct_2 B (u1_struct_0 A) (u1_struct_0 A)) /\ ((v7_waybel_1 B A) /\ (m1_relset_1 B (u1_struct_0 A) (u1_struct_0 A)))))))))) => ((-. (v3_struct_0 (k2_yellow_2 A A B))) /\ ((v1_orders_2 (k2_yellow_2 A A B)) /\ ((v2_orders_2 (k2_yellow_2 A A B)) /\ ((v3_orders_2 (k2_yellow_2 A A B)) /\ ((v4_orders_2 (k2_yellow_2 A A B)) /\ ((v4_yellow_0 (k2_yellow_2 A A B) A) /\ ((v5_yellow_0 (k2_yellow_2 A A B) A) /\ ((v7_yellow_0 (k2_yellow_2 A A B) A) /\ (v3_waybel_0 (k2_yellow_2 A A B) A)))))))))))) (All A, (((v2_orders_2 A) /\ ((v3_orders_2 A) /\ ((v4_orders_2 A) /\ ((v1_lattice3 A) /\ ((v2_lattice3 A) /\ ((v3_lattice3 A) /\ (l1_orders_2 A))))))) => (All B, (((v2_orders_2 B) /\ ((v3_orders_2 B) /\ ((v4_orders_2 B) /\ ((v1_lattice3 B) /\ ((v2_lattice3 B) /\ ((v3_lattice3 B) /\ ((v3_waybel_3 B) /\ (l1_orders_2 B)))))))) => (All C, (((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 A) (u1_struct_0 B)) /\ ((v17_waybel_0 C A B) /\ (m2_relset_1 C (u1_struct_0 A) (u1_struct_0 B))))) => ((v1_waybel34 (k1_waybel34 A B C) B A) => (v22_waybel_0 C A B)))))))) (-. (v4_waybel_0 (k2_yellow_2 T_0 T_0 T_1) T_0)) (m1_relset_1 T_1 (u1_struct_0 T_0) (u1_struct_0 T_0)) (v7_waybel_1 T_1 T_0) (v1_funct_2 T_1 (u1_struct_0 T_0) (u1_struct_0 T_0)) (v1_funct_1 T_1) ### DisjTree 8 9 10 12 201
% 7.20/7.38 203. (All B, (((v1_funct_1 B) /\ ((v1_funct_2 B (u1_struct_0 T_0) (u1_struct_0 T_0)) /\ ((v7_waybel_1 B T_0) /\ (m2_relset_1 B (u1_struct_0 T_0) (u1_struct_0 T_0))))) => ((v4_waybel_0 (k2_yellow_2 T_0 T_0 B) T_0) <=> (v22_waybel_0 (k3_waybel_1 T_0 T_0 B) (k2_yellow_2 T_0 T_0 B) T_0)))) (v1_funct_1 T_1) (v1_funct_2 T_1 (u1_struct_0 T_0) (u1_struct_0 T_0)) (v7_waybel_1 T_1 T_0) (m1_relset_1 T_1 (u1_struct_0 T_0) (u1_struct_0 T_0)) (-. (v4_waybel_0 (k2_yellow_2 T_0 T_0 T_1) T_0)) (All A, (((v2_orders_2 A) /\ ((v3_orders_2 A) /\ ((v4_orders_2 A) /\ ((v1_lattice3 A) /\ ((v2_lattice3 A) /\ ((v3_lattice3 A) /\ (l1_orders_2 A))))))) => (All B, (((v2_orders_2 B) /\ ((v3_orders_2 B) /\ ((v4_orders_2 B) /\ ((v1_lattice3 B) /\ ((v2_lattice3 B) /\ ((v3_lattice3 B) /\ ((v3_waybel_3 B) /\ (l1_orders_2 B)))))))) => (All C, (((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 A) (u1_struct_0 B)) /\ ((v17_waybel_0 C A B) /\ (m2_relset_1 C (u1_struct_0 A) (u1_struct_0 B))))) => ((v1_waybel34 (k1_waybel34 A B C) B A) => (v22_waybel_0 C A B)))))))) (All A, (All B, (((-. (v3_struct_0 A)) /\ ((v2_orders_2 A) /\ ((v3_orders_2 A) /\ ((v4_orders_2 A) /\ ((l1_orders_2 A) /\ ((v1_funct_1 B) /\ ((v1_funct_2 B (u1_struct_0 A) (u1_struct_0 A)) /\ ((v7_waybel_1 B A) /\ (m1_relset_1 B (u1_struct_0 A) (u1_struct_0 A)))))))))) => ((-. (v3_struct_0 (k2_yellow_2 A A B))) /\ ((v1_orders_2 (k2_yellow_2 A A B)) /\ ((v2_orders_2 (k2_yellow_2 A A B)) /\ ((v3_orders_2 (k2_yellow_2 A A B)) /\ ((v4_orders_2 (k2_yellow_2 A A B)) /\ ((v4_yellow_0 (k2_yellow_2 A A B) A) /\ ((v5_yellow_0 (k2_yellow_2 A A B) A) /\ ((v7_yellow_0 (k2_yellow_2 A A B) A) /\ (v3_waybel_0 (k2_yellow_2 A A B) A)))))))))))) (All A, ((l1_orders_2 A) => ((v2_lattice3 A) => (-. (v3_struct_0 A))))) (All A, (All B, (((v2_orders_2 A) /\ ((v3_orders_2 A) /\ ((v4_orders_2 A) /\ ((v1_lattice3 A) /\ ((v2_lattice3 A) /\ ((v3_lattice3 A) /\ ((l1_orders_2 A) /\ ((v1_funct_1 B) /\ ((v1_funct_2 B (u1_struct_0 A) (u1_struct_0 A)) /\ ((v6_waybel_1 B A) /\ (m1_relset_1 B (u1_struct_0 A) (u1_struct_0 A)))))))))))) => ((-. (v3_struct_0 (k2_yellow_2 A A B))) /\ ((v1_orders_2 (k2_yellow_2 A A B)) /\ ((v2_orders_2 (k2_yellow_2 A A B)) /\ ((v3_orders_2 (k2_yellow_2 A A B)) /\ ((v4_orders_2 (k2_yellow_2 A A B)) /\ ((v1_yellow_0 (k2_yellow_2 A A B)) /\ ((v2_yellow_0 (k2_yellow_2 A A B)) /\ ((v3_yellow_0 (k2_yellow_2 A A B)) /\ ((v4_yellow_0 (k2_yellow_2 A A B) A) /\ ((v24_waybel_0 (k2_yellow_2 A A B)) /\ ((v25_waybel_0 (k2_yellow_2 A A B)) /\ ((v1_lattice3 (k2_yellow_2 A A B)) /\ ((v2_lattice3 (k2_yellow_2 A A B)) /\ (v3_lattice3 (k2_yellow_2 A A B)))))))))))))))))) (All A, (((-. (v3_struct_0 A)) /\ (l1_orders_2 A)) => (All B, ((m1_relset_1 B (u1_struct_0 A) (u1_struct_0 A)) => (((v1_funct_1 B) /\ ((v1_funct_2 B (u1_struct_0 A) (u1_struct_0 A)) /\ (v7_waybel_1 B A))) => ((v1_funct_1 B) /\ ((-. (v1_xboole_0 B)) /\ ((v1_funct_2 B (u1_struct_0 A) (u1_struct_0 A)) /\ ((v1_partfun1 B (u1_struct_0 A) (u1_struct_0 A)) /\ (v6_waybel_1 B A)))))))))) (All A, (All B, (All C, (((-. (v3_struct_0 A)) /\ ((l1_orders_2 A) /\ ((-. (v3_struct_0 B)) /\ ((l1_orders_2 B) /\ ((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 A) (u1_struct_0 B)) /\ (m1_relset_1 C (u1_struct_0 A) (u1_struct_0 B)))))))) => ((v1_orders_2 (k2_yellow_2 A B C)) /\ ((v4_yellow_0 (k2_yellow_2 A B C) B) /\ (m1_yellow_0 (k2_yellow_2 A B C) B))))))) (All A, ((l1_orders_2 A) => (All B, ((m1_yellow_0 B A) => (l1_orders_2 B))))) (v3_waybel_3 T_0) (All A, (All B, (All C, (((-. (v3_struct_0 A)) /\ ((l1_orders_2 A) /\ ((-. (v3_struct_0 B)) /\ ((l1_orders_2 B) /\ ((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 A) (u1_struct_0 B)) /\ (m1_relset_1 C (u1_struct_0 A) (u1_struct_0 B)))))))) => ((v1_funct_1 (k3_waybel_1 A B C)) /\ ((v1_funct_2 (k3_waybel_1 A B C) (u1_struct_0 (k2_yellow_2 A B C)) (u1_struct_0 B)) /\ (m2_relset_1 (k3_waybel_1 A B C) (u1_struct_0 (k2_yellow_2 A B C)) (u1_struct_0 B)))))))) (v1_waybel34 (k2_waybel_1 T_0 T_0 T_1) T_0 (k2_yellow_2 T_0 T_0 T_1)) (l1_orders_2 T_0) (v3_lattice3 T_0) (v2_lattice3 T_0) (v1_lattice3 T_0) (v4_orders_2 T_0) (v3_orders_2 T_0) (v2_orders_2 T_0) (All A, (((v2_orders_2 A) /\ ((v3_orders_2 A) /\ ((v4_orders_2 A) /\ ((v1_lattice3 A) /\ ((v2_lattice3 A) /\ ((v3_lattice3 A) /\ (l1_orders_2 A))))))) => (All B, (((v1_funct_1 B) /\ ((v1_funct_2 B (u1_struct_0 A) (u1_struct_0 A)) /\ ((v7_waybel_1 B A) /\ (m2_relset_1 B (u1_struct_0 A) (u1_struct_0 A))))) => ((v18_waybel_0 (k2_waybel_1 A A B) A (k2_yellow_2 A A B)) /\ ((v17_waybel_0 (k3_waybel_1 A A B) (k2_yellow_2 A A B) A) /\ (((k2_waybel34 (k2_yellow_2 A A B) A (k2_waybel_1 A A B)) = (k3_waybel_1 A A B)) /\ ((k1_waybel34 (k2_yellow_2 A A B) A (k3_waybel_1 A A B)) = (k2_waybel_1 A A B))))))))) ### All 202
% 7.20/7.38 204. (((v2_orders_2 T_0) /\ ((v3_orders_2 T_0) /\ ((v4_orders_2 T_0) /\ ((v1_lattice3 T_0) /\ ((v2_lattice3 T_0) /\ ((v3_lattice3 T_0) /\ (l1_orders_2 T_0))))))) => (All B, (((v1_funct_1 B) /\ ((v1_funct_2 B (u1_struct_0 T_0) (u1_struct_0 T_0)) /\ ((v7_waybel_1 B T_0) /\ (m2_relset_1 B (u1_struct_0 T_0) (u1_struct_0 T_0))))) => ((v4_waybel_0 (k2_yellow_2 T_0 T_0 B) T_0) <=> (v22_waybel_0 (k3_waybel_1 T_0 T_0 B) (k2_yellow_2 T_0 T_0 B) T_0))))) (All A, (((v2_orders_2 A) /\ ((v3_orders_2 A) /\ ((v4_orders_2 A) /\ ((v1_lattice3 A) /\ ((v2_lattice3 A) /\ ((v3_lattice3 A) /\ (l1_orders_2 A))))))) => (All B, (((v1_funct_1 B) /\ ((v1_funct_2 B (u1_struct_0 A) (u1_struct_0 A)) /\ ((v7_waybel_1 B A) /\ (m2_relset_1 B (u1_struct_0 A) (u1_struct_0 A))))) => ((v18_waybel_0 (k2_waybel_1 A A B) A (k2_yellow_2 A A B)) /\ ((v17_waybel_0 (k3_waybel_1 A A B) (k2_yellow_2 A A B) A) /\ (((k2_waybel34 (k2_yellow_2 A A B) A (k2_waybel_1 A A B)) = (k3_waybel_1 A A B)) /\ ((k1_waybel34 (k2_yellow_2 A A B) A (k3_waybel_1 A A B)) = (k2_waybel_1 A A B))))))))) (v1_waybel34 (k2_waybel_1 T_0 T_0 T_1) T_0 (k2_yellow_2 T_0 T_0 T_1)) (All A, (All B, (All C, (((-. (v3_struct_0 A)) /\ ((l1_orders_2 A) /\ ((-. (v3_struct_0 B)) /\ ((l1_orders_2 B) /\ ((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 A) (u1_struct_0 B)) /\ (m1_relset_1 C (u1_struct_0 A) (u1_struct_0 B)))))))) => ((v1_funct_1 (k3_waybel_1 A B C)) /\ ((v1_funct_2 (k3_waybel_1 A B C) (u1_struct_0 (k2_yellow_2 A B C)) (u1_struct_0 B)) /\ (m2_relset_1 (k3_waybel_1 A B C) (u1_struct_0 (k2_yellow_2 A B C)) (u1_struct_0 B)))))))) (v3_waybel_3 T_0) (All A, ((l1_orders_2 A) => (All B, ((m1_yellow_0 B A) => (l1_orders_2 B))))) (All A, (All B, (All C, (((-. (v3_struct_0 A)) /\ ((l1_orders_2 A) /\ ((-. (v3_struct_0 B)) /\ ((l1_orders_2 B) /\ ((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 A) (u1_struct_0 B)) /\ (m1_relset_1 C (u1_struct_0 A) (u1_struct_0 B)))))))) => ((v1_orders_2 (k2_yellow_2 A B C)) /\ ((v4_yellow_0 (k2_yellow_2 A B C) B) /\ (m1_yellow_0 (k2_yellow_2 A B C) B))))))) (All A, (((-. (v3_struct_0 A)) /\ (l1_orders_2 A)) => (All B, ((m1_relset_1 B (u1_struct_0 A) (u1_struct_0 A)) => (((v1_funct_1 B) /\ ((v1_funct_2 B (u1_struct_0 A) (u1_struct_0 A)) /\ (v7_waybel_1 B A))) => ((v1_funct_1 B) /\ ((-. (v1_xboole_0 B)) /\ ((v1_funct_2 B (u1_struct_0 A) (u1_struct_0 A)) /\ ((v1_partfun1 B (u1_struct_0 A) (u1_struct_0 A)) /\ (v6_waybel_1 B A)))))))))) (All A, (All B, (((v2_orders_2 A) /\ ((v3_orders_2 A) /\ ((v4_orders_2 A) /\ ((v1_lattice3 A) /\ ((v2_lattice3 A) /\ ((v3_lattice3 A) /\ ((l1_orders_2 A) /\ ((v1_funct_1 B) /\ ((v1_funct_2 B (u1_struct_0 A) (u1_struct_0 A)) /\ ((v6_waybel_1 B A) /\ (m1_relset_1 B (u1_struct_0 A) (u1_struct_0 A)))))))))))) => ((-. (v3_struct_0 (k2_yellow_2 A A B))) /\ ((v1_orders_2 (k2_yellow_2 A A B)) /\ ((v2_orders_2 (k2_yellow_2 A A B)) /\ ((v3_orders_2 (k2_yellow_2 A A B)) /\ ((v4_orders_2 (k2_yellow_2 A A B)) /\ ((v1_yellow_0 (k2_yellow_2 A A B)) /\ ((v2_yellow_0 (k2_yellow_2 A A B)) /\ ((v3_yellow_0 (k2_yellow_2 A A B)) /\ ((v4_yellow_0 (k2_yellow_2 A A B) A) /\ ((v24_waybel_0 (k2_yellow_2 A A B)) /\ ((v25_waybel_0 (k2_yellow_2 A A B)) /\ ((v1_lattice3 (k2_yellow_2 A A B)) /\ ((v2_lattice3 (k2_yellow_2 A A B)) /\ (v3_lattice3 (k2_yellow_2 A A B)))))))))))))))))) (All A, ((l1_orders_2 A) => ((v2_lattice3 A) => (-. (v3_struct_0 A))))) (All A, (All B, (((-. (v3_struct_0 A)) /\ ((v2_orders_2 A) /\ ((v3_orders_2 A) /\ ((v4_orders_2 A) /\ ((l1_orders_2 A) /\ ((v1_funct_1 B) /\ ((v1_funct_2 B (u1_struct_0 A) (u1_struct_0 A)) /\ ((v7_waybel_1 B A) /\ (m1_relset_1 B (u1_struct_0 A) (u1_struct_0 A)))))))))) => ((-. (v3_struct_0 (k2_yellow_2 A A B))) /\ ((v1_orders_2 (k2_yellow_2 A A B)) /\ ((v2_orders_2 (k2_yellow_2 A A B)) /\ ((v3_orders_2 (k2_yellow_2 A A B)) /\ ((v4_orders_2 (k2_yellow_2 A A B)) /\ ((v4_yellow_0 (k2_yellow_2 A A B) A) /\ ((v5_yellow_0 (k2_yellow_2 A A B) A) /\ ((v7_yellow_0 (k2_yellow_2 A A B) A) /\ (v3_waybel_0 (k2_yellow_2 A A B) A)))))))))))) (All A, (((v2_orders_2 A) /\ ((v3_orders_2 A) /\ ((v4_orders_2 A) /\ ((v1_lattice3 A) /\ ((v2_lattice3 A) /\ ((v3_lattice3 A) /\ (l1_orders_2 A))))))) => (All B, (((v2_orders_2 B) /\ ((v3_orders_2 B) /\ ((v4_orders_2 B) /\ ((v1_lattice3 B) /\ ((v2_lattice3 B) /\ ((v3_lattice3 B) /\ ((v3_waybel_3 B) /\ (l1_orders_2 B)))))))) => (All C, (((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 A) (u1_struct_0 B)) /\ ((v17_waybel_0 C A B) /\ (m2_relset_1 C (u1_struct_0 A) (u1_struct_0 B))))) => ((v1_waybel34 (k1_waybel34 A B C) B A) => (v22_waybel_0 C A B)))))))) (-. (v4_waybel_0 (k2_yellow_2 T_0 T_0 T_1) T_0)) (m1_relset_1 T_1 (u1_struct_0 T_0) (u1_struct_0 T_0)) (v7_waybel_1 T_1 T_0) (v1_funct_2 T_1 (u1_struct_0 T_0) (u1_struct_0 T_0)) (v1_funct_1 T_1) (l1_orders_2 T_0) (v3_lattice3 T_0) (v2_lattice3 T_0) (v1_lattice3 T_0) (v4_orders_2 T_0) (v3_orders_2 T_0) (v2_orders_2 T_0) ### DisjTree 1 2 3 4 5 6 7 203
% 7.23/7.40 205. (All A, (((v2_orders_2 A) /\ ((v3_orders_2 A) /\ ((v4_orders_2 A) /\ ((v1_lattice3 A) /\ ((v2_lattice3 A) /\ ((v3_lattice3 A) /\ (l1_orders_2 A))))))) => (All B, (((v1_funct_1 B) /\ ((v1_funct_2 B (u1_struct_0 A) (u1_struct_0 A)) /\ ((v7_waybel_1 B A) /\ (m2_relset_1 B (u1_struct_0 A) (u1_struct_0 A))))) => ((v4_waybel_0 (k2_yellow_2 A A B) A) <=> (v22_waybel_0 (k3_waybel_1 A A B) (k2_yellow_2 A A B) A)))))) (v2_orders_2 T_0) (v3_orders_2 T_0) (v4_orders_2 T_0) (v1_lattice3 T_0) (v2_lattice3 T_0) (v3_lattice3 T_0) (l1_orders_2 T_0) (v1_funct_1 T_1) (v1_funct_2 T_1 (u1_struct_0 T_0) (u1_struct_0 T_0)) (v7_waybel_1 T_1 T_0) (m1_relset_1 T_1 (u1_struct_0 T_0) (u1_struct_0 T_0)) (-. (v4_waybel_0 (k2_yellow_2 T_0 T_0 T_1) T_0)) (All A, (((v2_orders_2 A) /\ ((v3_orders_2 A) /\ ((v4_orders_2 A) /\ ((v1_lattice3 A) /\ ((v2_lattice3 A) /\ ((v3_lattice3 A) /\ (l1_orders_2 A))))))) => (All B, (((v2_orders_2 B) /\ ((v3_orders_2 B) /\ ((v4_orders_2 B) /\ ((v1_lattice3 B) /\ ((v2_lattice3 B) /\ ((v3_lattice3 B) /\ ((v3_waybel_3 B) /\ (l1_orders_2 B)))))))) => (All C, (((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 A) (u1_struct_0 B)) /\ ((v17_waybel_0 C A B) /\ (m2_relset_1 C (u1_struct_0 A) (u1_struct_0 B))))) => ((v1_waybel34 (k1_waybel34 A B C) B A) => (v22_waybel_0 C A B)))))))) (All A, (All B, (((-. (v3_struct_0 A)) /\ ((v2_orders_2 A) /\ ((v3_orders_2 A) /\ ((v4_orders_2 A) /\ ((l1_orders_2 A) /\ ((v1_funct_1 B) /\ ((v1_funct_2 B (u1_struct_0 A) (u1_struct_0 A)) /\ ((v7_waybel_1 B A) /\ (m1_relset_1 B (u1_struct_0 A) (u1_struct_0 A)))))))))) => ((-. (v3_struct_0 (k2_yellow_2 A A B))) /\ ((v1_orders_2 (k2_yellow_2 A A B)) /\ ((v2_orders_2 (k2_yellow_2 A A B)) /\ ((v3_orders_2 (k2_yellow_2 A A B)) /\ ((v4_orders_2 (k2_yellow_2 A A B)) /\ ((v4_yellow_0 (k2_yellow_2 A A B) A) /\ ((v5_yellow_0 (k2_yellow_2 A A B) A) /\ ((v7_yellow_0 (k2_yellow_2 A A B) A) /\ (v3_waybel_0 (k2_yellow_2 A A B) A)))))))))))) (All A, ((l1_orders_2 A) => ((v2_lattice3 A) => (-. (v3_struct_0 A))))) (All A, (All B, (((v2_orders_2 A) /\ ((v3_orders_2 A) /\ ((v4_orders_2 A) /\ ((v1_lattice3 A) /\ ((v2_lattice3 A) /\ ((v3_lattice3 A) /\ ((l1_orders_2 A) /\ ((v1_funct_1 B) /\ ((v1_funct_2 B (u1_struct_0 A) (u1_struct_0 A)) /\ ((v6_waybel_1 B A) /\ (m1_relset_1 B (u1_struct_0 A) (u1_struct_0 A)))))))))))) => ((-. (v3_struct_0 (k2_yellow_2 A A B))) /\ ((v1_orders_2 (k2_yellow_2 A A B)) /\ ((v2_orders_2 (k2_yellow_2 A A B)) /\ ((v3_orders_2 (k2_yellow_2 A A B)) /\ ((v4_orders_2 (k2_yellow_2 A A B)) /\ ((v1_yellow_0 (k2_yellow_2 A A B)) /\ ((v2_yellow_0 (k2_yellow_2 A A B)) /\ ((v3_yellow_0 (k2_yellow_2 A A B)) /\ ((v4_yellow_0 (k2_yellow_2 A A B) A) /\ ((v24_waybel_0 (k2_yellow_2 A A B)) /\ ((v25_waybel_0 (k2_yellow_2 A A B)) /\ ((v1_lattice3 (k2_yellow_2 A A B)) /\ ((v2_lattice3 (k2_yellow_2 A A B)) /\ (v3_lattice3 (k2_yellow_2 A A B)))))))))))))))))) (All A, (((-. (v3_struct_0 A)) /\ (l1_orders_2 A)) => (All B, ((m1_relset_1 B (u1_struct_0 A) (u1_struct_0 A)) => (((v1_funct_1 B) /\ ((v1_funct_2 B (u1_struct_0 A) (u1_struct_0 A)) /\ (v7_waybel_1 B A))) => ((v1_funct_1 B) /\ ((-. (v1_xboole_0 B)) /\ ((v1_funct_2 B (u1_struct_0 A) (u1_struct_0 A)) /\ ((v1_partfun1 B (u1_struct_0 A) (u1_struct_0 A)) /\ (v6_waybel_1 B A)))))))))) (All A, (All B, (All C, (((-. (v3_struct_0 A)) /\ ((l1_orders_2 A) /\ ((-. (v3_struct_0 B)) /\ ((l1_orders_2 B) /\ ((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 A) (u1_struct_0 B)) /\ (m1_relset_1 C (u1_struct_0 A) (u1_struct_0 B)))))))) => ((v1_orders_2 (k2_yellow_2 A B C)) /\ ((v4_yellow_0 (k2_yellow_2 A B C) B) /\ (m1_yellow_0 (k2_yellow_2 A B C) B))))))) (All A, ((l1_orders_2 A) => (All B, ((m1_yellow_0 B A) => (l1_orders_2 B))))) (v3_waybel_3 T_0) (All A, (All B, (All C, (((-. (v3_struct_0 A)) /\ ((l1_orders_2 A) /\ ((-. (v3_struct_0 B)) /\ ((l1_orders_2 B) /\ ((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 A) (u1_struct_0 B)) /\ (m1_relset_1 C (u1_struct_0 A) (u1_struct_0 B)))))))) => ((v1_funct_1 (k3_waybel_1 A B C)) /\ ((v1_funct_2 (k3_waybel_1 A B C) (u1_struct_0 (k2_yellow_2 A B C)) (u1_struct_0 B)) /\ (m2_relset_1 (k3_waybel_1 A B C) (u1_struct_0 (k2_yellow_2 A B C)) (u1_struct_0 B)))))))) (v1_waybel34 (k2_waybel_1 T_0 T_0 T_1) T_0 (k2_yellow_2 T_0 T_0 T_1)) (All A, (((v2_orders_2 A) /\ ((v3_orders_2 A) /\ ((v4_orders_2 A) /\ ((v1_lattice3 A) /\ ((v2_lattice3 A) /\ ((v3_lattice3 A) /\ (l1_orders_2 A))))))) => (All B, (((v1_funct_1 B) /\ ((v1_funct_2 B (u1_struct_0 A) (u1_struct_0 A)) /\ ((v7_waybel_1 B A) /\ (m2_relset_1 B (u1_struct_0 A) (u1_struct_0 A))))) => ((v18_waybel_0 (k2_waybel_1 A A B) A (k2_yellow_2 A A B)) /\ ((v17_waybel_0 (k3_waybel_1 A A B) (k2_yellow_2 A A B) A) /\ (((k2_waybel34 (k2_yellow_2 A A B) A (k2_waybel_1 A A B)) = (k3_waybel_1 A A B)) /\ ((k1_waybel34 (k2_yellow_2 A A B) A (k3_waybel_1 A A B)) = (k2_waybel_1 A A B))))))))) ### All 204
% 7.23/7.40 206. (m2_relset_1 T_1 (u1_struct_0 T_0) (u1_struct_0 T_0)) (All A, (((v2_orders_2 A) /\ ((v3_orders_2 A) /\ ((v4_orders_2 A) /\ ((v1_lattice3 A) /\ ((v2_lattice3 A) /\ ((v3_lattice3 A) /\ (l1_orders_2 A))))))) => (All B, (((v1_funct_1 B) /\ ((v1_funct_2 B (u1_struct_0 A) (u1_struct_0 A)) /\ ((v7_waybel_1 B A) /\ (m2_relset_1 B (u1_struct_0 A) (u1_struct_0 A))))) => ((v18_waybel_0 (k2_waybel_1 A A B) A (k2_yellow_2 A A B)) /\ ((v17_waybel_0 (k3_waybel_1 A A B) (k2_yellow_2 A A B) A) /\ (((k2_waybel34 (k2_yellow_2 A A B) A (k2_waybel_1 A A B)) = (k3_waybel_1 A A B)) /\ ((k1_waybel34 (k2_yellow_2 A A B) A (k3_waybel_1 A A B)) = (k2_waybel_1 A A B))))))))) (v1_waybel34 (k2_waybel_1 T_0 T_0 T_1) T_0 (k2_yellow_2 T_0 T_0 T_1)) (All A, (All B, (All C, (((-. (v3_struct_0 A)) /\ ((l1_orders_2 A) /\ ((-. (v3_struct_0 B)) /\ ((l1_orders_2 B) /\ ((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 A) (u1_struct_0 B)) /\ (m1_relset_1 C (u1_struct_0 A) (u1_struct_0 B)))))))) => ((v1_funct_1 (k3_waybel_1 A B C)) /\ ((v1_funct_2 (k3_waybel_1 A B C) (u1_struct_0 (k2_yellow_2 A B C)) (u1_struct_0 B)) /\ (m2_relset_1 (k3_waybel_1 A B C) (u1_struct_0 (k2_yellow_2 A B C)) (u1_struct_0 B)))))))) (v3_waybel_3 T_0) (All A, ((l1_orders_2 A) => (All B, ((m1_yellow_0 B A) => (l1_orders_2 B))))) (All A, (All B, (All C, (((-. (v3_struct_0 A)) /\ ((l1_orders_2 A) /\ ((-. (v3_struct_0 B)) /\ ((l1_orders_2 B) /\ ((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 A) (u1_struct_0 B)) /\ (m1_relset_1 C (u1_struct_0 A) (u1_struct_0 B)))))))) => ((v1_orders_2 (k2_yellow_2 A B C)) /\ ((v4_yellow_0 (k2_yellow_2 A B C) B) /\ (m1_yellow_0 (k2_yellow_2 A B C) B))))))) (All A, (((-. (v3_struct_0 A)) /\ (l1_orders_2 A)) => (All B, ((m1_relset_1 B (u1_struct_0 A) (u1_struct_0 A)) => (((v1_funct_1 B) /\ ((v1_funct_2 B (u1_struct_0 A) (u1_struct_0 A)) /\ (v7_waybel_1 B A))) => ((v1_funct_1 B) /\ ((-. (v1_xboole_0 B)) /\ ((v1_funct_2 B (u1_struct_0 A) (u1_struct_0 A)) /\ ((v1_partfun1 B (u1_struct_0 A) (u1_struct_0 A)) /\ (v6_waybel_1 B A)))))))))) (All A, (All B, (((v2_orders_2 A) /\ ((v3_orders_2 A) /\ ((v4_orders_2 A) /\ ((v1_lattice3 A) /\ ((v2_lattice3 A) /\ ((v3_lattice3 A) /\ ((l1_orders_2 A) /\ ((v1_funct_1 B) /\ ((v1_funct_2 B (u1_struct_0 A) (u1_struct_0 A)) /\ ((v6_waybel_1 B A) /\ (m1_relset_1 B (u1_struct_0 A) (u1_struct_0 A)))))))))))) => ((-. (v3_struct_0 (k2_yellow_2 A A B))) /\ ((v1_orders_2 (k2_yellow_2 A A B)) /\ ((v2_orders_2 (k2_yellow_2 A A B)) /\ ((v3_orders_2 (k2_yellow_2 A A B)) /\ ((v4_orders_2 (k2_yellow_2 A A B)) /\ ((v1_yellow_0 (k2_yellow_2 A A B)) /\ ((v2_yellow_0 (k2_yellow_2 A A B)) /\ ((v3_yellow_0 (k2_yellow_2 A A B)) /\ ((v4_yellow_0 (k2_yellow_2 A A B) A) /\ ((v24_waybel_0 (k2_yellow_2 A A B)) /\ ((v25_waybel_0 (k2_yellow_2 A A B)) /\ ((v1_lattice3 (k2_yellow_2 A A B)) /\ ((v2_lattice3 (k2_yellow_2 A A B)) /\ (v3_lattice3 (k2_yellow_2 A A B)))))))))))))))))) (All A, ((l1_orders_2 A) => ((v2_lattice3 A) => (-. (v3_struct_0 A))))) (All A, (All B, (((-. (v3_struct_0 A)) /\ ((v2_orders_2 A) /\ ((v3_orders_2 A) /\ ((v4_orders_2 A) /\ ((l1_orders_2 A) /\ ((v1_funct_1 B) /\ ((v1_funct_2 B (u1_struct_0 A) (u1_struct_0 A)) /\ ((v7_waybel_1 B A) /\ (m1_relset_1 B (u1_struct_0 A) (u1_struct_0 A)))))))))) => ((-. (v3_struct_0 (k2_yellow_2 A A B))) /\ ((v1_orders_2 (k2_yellow_2 A A B)) /\ ((v2_orders_2 (k2_yellow_2 A A B)) /\ ((v3_orders_2 (k2_yellow_2 A A B)) /\ ((v4_orders_2 (k2_yellow_2 A A B)) /\ ((v4_yellow_0 (k2_yellow_2 A A B) A) /\ ((v5_yellow_0 (k2_yellow_2 A A B) A) /\ ((v7_yellow_0 (k2_yellow_2 A A B) A) /\ (v3_waybel_0 (k2_yellow_2 A A B) A)))))))))))) (All A, (((v2_orders_2 A) /\ ((v3_orders_2 A) /\ ((v4_orders_2 A) /\ ((v1_lattice3 A) /\ ((v2_lattice3 A) /\ ((v3_lattice3 A) /\ (l1_orders_2 A))))))) => (All B, (((v2_orders_2 B) /\ ((v3_orders_2 B) /\ ((v4_orders_2 B) /\ ((v1_lattice3 B) /\ ((v2_lattice3 B) /\ ((v3_lattice3 B) /\ ((v3_waybel_3 B) /\ (l1_orders_2 B)))))))) => (All C, (((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 A) (u1_struct_0 B)) /\ ((v17_waybel_0 C A B) /\ (m2_relset_1 C (u1_struct_0 A) (u1_struct_0 B))))) => ((v1_waybel34 (k1_waybel34 A B C) B A) => (v22_waybel_0 C A B)))))))) (-. (v4_waybel_0 (k2_yellow_2 T_0 T_0 T_1) T_0)) (v7_waybel_1 T_1 T_0) (v1_funct_2 T_1 (u1_struct_0 T_0) (u1_struct_0 T_0)) (v1_funct_1 T_1) (l1_orders_2 T_0) (v3_lattice3 T_0) (v2_lattice3 T_0) (v1_lattice3 T_0) (v4_orders_2 T_0) (v3_orders_2 T_0) (v2_orders_2 T_0) (All A, (((v2_orders_2 A) /\ ((v3_orders_2 A) /\ ((v4_orders_2 A) /\ ((v1_lattice3 A) /\ ((v2_lattice3 A) /\ ((v3_lattice3 A) /\ (l1_orders_2 A))))))) => (All B, (((v1_funct_1 B) /\ ((v1_funct_2 B (u1_struct_0 A) (u1_struct_0 A)) /\ ((v7_waybel_1 B A) /\ (m2_relset_1 B (u1_struct_0 A) (u1_struct_0 A))))) => ((v4_waybel_0 (k2_yellow_2 A A B) A) <=> (v22_waybel_0 (k3_waybel_1 A A B) (k2_yellow_2 A A B) A)))))) ### Definition-Pseudo(m2_relset_1) 205
% 7.23/7.41 207. (-. (((v1_funct_1 T_1) /\ ((v1_funct_2 T_1 (u1_struct_0 T_0) (u1_struct_0 T_0)) /\ ((v7_waybel_1 T_1 T_0) /\ (m2_relset_1 T_1 (u1_struct_0 T_0) (u1_struct_0 T_0))))) => ((v1_waybel34 (k2_waybel_1 T_0 T_0 T_1) T_0 (k2_yellow_2 T_0 T_0 T_1)) => (v4_waybel_0 (k2_yellow_2 T_0 T_0 T_1) T_0)))) (All A, (((v2_orders_2 A) /\ ((v3_orders_2 A) /\ ((v4_orders_2 A) /\ ((v1_lattice3 A) /\ ((v2_lattice3 A) /\ ((v3_lattice3 A) /\ (l1_orders_2 A))))))) => (All B, (((v1_funct_1 B) /\ ((v1_funct_2 B (u1_struct_0 A) (u1_struct_0 A)) /\ ((v7_waybel_1 B A) /\ (m2_relset_1 B (u1_struct_0 A) (u1_struct_0 A))))) => ((v4_waybel_0 (k2_yellow_2 A A B) A) <=> (v22_waybel_0 (k3_waybel_1 A A B) (k2_yellow_2 A A B) A)))))) (v2_orders_2 T_0) (v3_orders_2 T_0) (v4_orders_2 T_0) (v1_lattice3 T_0) (v2_lattice3 T_0) (v3_lattice3 T_0) (l1_orders_2 T_0) (All A, (((v2_orders_2 A) /\ ((v3_orders_2 A) /\ ((v4_orders_2 A) /\ ((v1_lattice3 A) /\ ((v2_lattice3 A) /\ ((v3_lattice3 A) /\ (l1_orders_2 A))))))) => (All B, (((v2_orders_2 B) /\ ((v3_orders_2 B) /\ ((v4_orders_2 B) /\ ((v1_lattice3 B) /\ ((v2_lattice3 B) /\ ((v3_lattice3 B) /\ ((v3_waybel_3 B) /\ (l1_orders_2 B)))))))) => (All C, (((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 A) (u1_struct_0 B)) /\ ((v17_waybel_0 C A B) /\ (m2_relset_1 C (u1_struct_0 A) (u1_struct_0 B))))) => ((v1_waybel34 (k1_waybel34 A B C) B A) => (v22_waybel_0 C A B)))))))) (All A, (All B, (((-. (v3_struct_0 A)) /\ ((v2_orders_2 A) /\ ((v3_orders_2 A) /\ ((v4_orders_2 A) /\ ((l1_orders_2 A) /\ ((v1_funct_1 B) /\ ((v1_funct_2 B (u1_struct_0 A) (u1_struct_0 A)) /\ ((v7_waybel_1 B A) /\ (m1_relset_1 B (u1_struct_0 A) (u1_struct_0 A)))))))))) => ((-. (v3_struct_0 (k2_yellow_2 A A B))) /\ ((v1_orders_2 (k2_yellow_2 A A B)) /\ ((v2_orders_2 (k2_yellow_2 A A B)) /\ ((v3_orders_2 (k2_yellow_2 A A B)) /\ ((v4_orders_2 (k2_yellow_2 A A B)) /\ ((v4_yellow_0 (k2_yellow_2 A A B) A) /\ ((v5_yellow_0 (k2_yellow_2 A A B) A) /\ ((v7_yellow_0 (k2_yellow_2 A A B) A) /\ (v3_waybel_0 (k2_yellow_2 A A B) A)))))))))))) (All A, ((l1_orders_2 A) => ((v2_lattice3 A) => (-. (v3_struct_0 A))))) (All A, (All B, (((v2_orders_2 A) /\ ((v3_orders_2 A) /\ ((v4_orders_2 A) /\ ((v1_lattice3 A) /\ ((v2_lattice3 A) /\ ((v3_lattice3 A) /\ ((l1_orders_2 A) /\ ((v1_funct_1 B) /\ ((v1_funct_2 B (u1_struct_0 A) (u1_struct_0 A)) /\ ((v6_waybel_1 B A) /\ (m1_relset_1 B (u1_struct_0 A) (u1_struct_0 A)))))))))))) => ((-. (v3_struct_0 (k2_yellow_2 A A B))) /\ ((v1_orders_2 (k2_yellow_2 A A B)) /\ ((v2_orders_2 (k2_yellow_2 A A B)) /\ ((v3_orders_2 (k2_yellow_2 A A B)) /\ ((v4_orders_2 (k2_yellow_2 A A B)) /\ ((v1_yellow_0 (k2_yellow_2 A A B)) /\ ((v2_yellow_0 (k2_yellow_2 A A B)) /\ ((v3_yellow_0 (k2_yellow_2 A A B)) /\ ((v4_yellow_0 (k2_yellow_2 A A B) A) /\ ((v24_waybel_0 (k2_yellow_2 A A B)) /\ ((v25_waybel_0 (k2_yellow_2 A A B)) /\ ((v1_lattice3 (k2_yellow_2 A A B)) /\ ((v2_lattice3 (k2_yellow_2 A A B)) /\ (v3_lattice3 (k2_yellow_2 A A B)))))))))))))))))) (All A, (((-. (v3_struct_0 A)) /\ (l1_orders_2 A)) => (All B, ((m1_relset_1 B (u1_struct_0 A) (u1_struct_0 A)) => (((v1_funct_1 B) /\ ((v1_funct_2 B (u1_struct_0 A) (u1_struct_0 A)) /\ (v7_waybel_1 B A))) => ((v1_funct_1 B) /\ ((-. (v1_xboole_0 B)) /\ ((v1_funct_2 B (u1_struct_0 A) (u1_struct_0 A)) /\ ((v1_partfun1 B (u1_struct_0 A) (u1_struct_0 A)) /\ (v6_waybel_1 B A)))))))))) (All A, (All B, (All C, (((-. (v3_struct_0 A)) /\ ((l1_orders_2 A) /\ ((-. (v3_struct_0 B)) /\ ((l1_orders_2 B) /\ ((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 A) (u1_struct_0 B)) /\ (m1_relset_1 C (u1_struct_0 A) (u1_struct_0 B)))))))) => ((v1_orders_2 (k2_yellow_2 A B C)) /\ ((v4_yellow_0 (k2_yellow_2 A B C) B) /\ (m1_yellow_0 (k2_yellow_2 A B C) B))))))) (All A, ((l1_orders_2 A) => (All B, ((m1_yellow_0 B A) => (l1_orders_2 B))))) (v3_waybel_3 T_0) (All A, (All B, (All C, (((-. (v3_struct_0 A)) /\ ((l1_orders_2 A) /\ ((-. (v3_struct_0 B)) /\ ((l1_orders_2 B) /\ ((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 A) (u1_struct_0 B)) /\ (m1_relset_1 C (u1_struct_0 A) (u1_struct_0 B)))))))) => ((v1_funct_1 (k3_waybel_1 A B C)) /\ ((v1_funct_2 (k3_waybel_1 A B C) (u1_struct_0 (k2_yellow_2 A B C)) (u1_struct_0 B)) /\ (m2_relset_1 (k3_waybel_1 A B C) (u1_struct_0 (k2_yellow_2 A B C)) (u1_struct_0 B)))))))) (All A, (((v2_orders_2 A) /\ ((v3_orders_2 A) /\ ((v4_orders_2 A) /\ ((v1_lattice3 A) /\ ((v2_lattice3 A) /\ ((v3_lattice3 A) /\ (l1_orders_2 A))))))) => (All B, (((v1_funct_1 B) /\ ((v1_funct_2 B (u1_struct_0 A) (u1_struct_0 A)) /\ ((v7_waybel_1 B A) /\ (m2_relset_1 B (u1_struct_0 A) (u1_struct_0 A))))) => ((v18_waybel_0 (k2_waybel_1 A A B) A (k2_yellow_2 A A B)) /\ ((v17_waybel_0 (k3_waybel_1 A A B) (k2_yellow_2 A A B) A) /\ (((k2_waybel34 (k2_yellow_2 A A B) A (k2_waybel_1 A A B)) = (k3_waybel_1 A A B)) /\ ((k1_waybel34 (k2_yellow_2 A A B) A (k3_waybel_1 A A B)) = (k2_waybel_1 A A B))))))))) ### ConjTree 206
% 7.23/7.41 208. (-. (All B, (((v1_funct_1 B) /\ ((v1_funct_2 B (u1_struct_0 T_0) (u1_struct_0 T_0)) /\ ((v7_waybel_1 B T_0) /\ (m2_relset_1 B (u1_struct_0 T_0) (u1_struct_0 T_0))))) => ((v1_waybel34 (k2_waybel_1 T_0 T_0 B) T_0 (k2_yellow_2 T_0 T_0 B)) => (v4_waybel_0 (k2_yellow_2 T_0 T_0 B) T_0))))) (All A, (((v2_orders_2 A) /\ ((v3_orders_2 A) /\ ((v4_orders_2 A) /\ ((v1_lattice3 A) /\ ((v2_lattice3 A) /\ ((v3_lattice3 A) /\ (l1_orders_2 A))))))) => (All B, (((v1_funct_1 B) /\ ((v1_funct_2 B (u1_struct_0 A) (u1_struct_0 A)) /\ ((v7_waybel_1 B A) /\ (m2_relset_1 B (u1_struct_0 A) (u1_struct_0 A))))) => ((v18_waybel_0 (k2_waybel_1 A A B) A (k2_yellow_2 A A B)) /\ ((v17_waybel_0 (k3_waybel_1 A A B) (k2_yellow_2 A A B) A) /\ (((k2_waybel34 (k2_yellow_2 A A B) A (k2_waybel_1 A A B)) = (k3_waybel_1 A A B)) /\ ((k1_waybel34 (k2_yellow_2 A A B) A (k3_waybel_1 A A B)) = (k2_waybel_1 A A B))))))))) (All A, (All B, (All C, (((-. (v3_struct_0 A)) /\ ((l1_orders_2 A) /\ ((-. (v3_struct_0 B)) /\ ((l1_orders_2 B) /\ ((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 A) (u1_struct_0 B)) /\ (m1_relset_1 C (u1_struct_0 A) (u1_struct_0 B)))))))) => ((v1_funct_1 (k3_waybel_1 A B C)) /\ ((v1_funct_2 (k3_waybel_1 A B C) (u1_struct_0 (k2_yellow_2 A B C)) (u1_struct_0 B)) /\ (m2_relset_1 (k3_waybel_1 A B C) (u1_struct_0 (k2_yellow_2 A B C)) (u1_struct_0 B)))))))) (v3_waybel_3 T_0) (All A, ((l1_orders_2 A) => (All B, ((m1_yellow_0 B A) => (l1_orders_2 B))))) (All A, (All B, (All C, (((-. (v3_struct_0 A)) /\ ((l1_orders_2 A) /\ ((-. (v3_struct_0 B)) /\ ((l1_orders_2 B) /\ ((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 A) (u1_struct_0 B)) /\ (m1_relset_1 C (u1_struct_0 A) (u1_struct_0 B)))))))) => ((v1_orders_2 (k2_yellow_2 A B C)) /\ ((v4_yellow_0 (k2_yellow_2 A B C) B) /\ (m1_yellow_0 (k2_yellow_2 A B C) B))))))) (All A, (((-. (v3_struct_0 A)) /\ (l1_orders_2 A)) => (All B, ((m1_relset_1 B (u1_struct_0 A) (u1_struct_0 A)) => (((v1_funct_1 B) /\ ((v1_funct_2 B (u1_struct_0 A) (u1_struct_0 A)) /\ (v7_waybel_1 B A))) => ((v1_funct_1 B) /\ ((-. (v1_xboole_0 B)) /\ ((v1_funct_2 B (u1_struct_0 A) (u1_struct_0 A)) /\ ((v1_partfun1 B (u1_struct_0 A) (u1_struct_0 A)) /\ (v6_waybel_1 B A)))))))))) (All A, (All B, (((v2_orders_2 A) /\ ((v3_orders_2 A) /\ ((v4_orders_2 A) /\ ((v1_lattice3 A) /\ ((v2_lattice3 A) /\ ((v3_lattice3 A) /\ ((l1_orders_2 A) /\ ((v1_funct_1 B) /\ ((v1_funct_2 B (u1_struct_0 A) (u1_struct_0 A)) /\ ((v6_waybel_1 B A) /\ (m1_relset_1 B (u1_struct_0 A) (u1_struct_0 A)))))))))))) => ((-. (v3_struct_0 (k2_yellow_2 A A B))) /\ ((v1_orders_2 (k2_yellow_2 A A B)) /\ ((v2_orders_2 (k2_yellow_2 A A B)) /\ ((v3_orders_2 (k2_yellow_2 A A B)) /\ ((v4_orders_2 (k2_yellow_2 A A B)) /\ ((v1_yellow_0 (k2_yellow_2 A A B)) /\ ((v2_yellow_0 (k2_yellow_2 A A B)) /\ ((v3_yellow_0 (k2_yellow_2 A A B)) /\ ((v4_yellow_0 (k2_yellow_2 A A B) A) /\ ((v24_waybel_0 (k2_yellow_2 A A B)) /\ ((v25_waybel_0 (k2_yellow_2 A A B)) /\ ((v1_lattice3 (k2_yellow_2 A A B)) /\ ((v2_lattice3 (k2_yellow_2 A A B)) /\ (v3_lattice3 (k2_yellow_2 A A B)))))))))))))))))) (All A, ((l1_orders_2 A) => ((v2_lattice3 A) => (-. (v3_struct_0 A))))) (All A, (All B, (((-. (v3_struct_0 A)) /\ ((v2_orders_2 A) /\ ((v3_orders_2 A) /\ ((v4_orders_2 A) /\ ((l1_orders_2 A) /\ ((v1_funct_1 B) /\ ((v1_funct_2 B (u1_struct_0 A) (u1_struct_0 A)) /\ ((v7_waybel_1 B A) /\ (m1_relset_1 B (u1_struct_0 A) (u1_struct_0 A)))))))))) => ((-. (v3_struct_0 (k2_yellow_2 A A B))) /\ ((v1_orders_2 (k2_yellow_2 A A B)) /\ ((v2_orders_2 (k2_yellow_2 A A B)) /\ ((v3_orders_2 (k2_yellow_2 A A B)) /\ ((v4_orders_2 (k2_yellow_2 A A B)) /\ ((v4_yellow_0 (k2_yellow_2 A A B) A) /\ ((v5_yellow_0 (k2_yellow_2 A A B) A) /\ ((v7_yellow_0 (k2_yellow_2 A A B) A) /\ (v3_waybel_0 (k2_yellow_2 A A B) A)))))))))))) (All A, (((v2_orders_2 A) /\ ((v3_orders_2 A) /\ ((v4_orders_2 A) /\ ((v1_lattice3 A) /\ ((v2_lattice3 A) /\ ((v3_lattice3 A) /\ (l1_orders_2 A))))))) => (All B, (((v2_orders_2 B) /\ ((v3_orders_2 B) /\ ((v4_orders_2 B) /\ ((v1_lattice3 B) /\ ((v2_lattice3 B) /\ ((v3_lattice3 B) /\ ((v3_waybel_3 B) /\ (l1_orders_2 B)))))))) => (All C, (((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 A) (u1_struct_0 B)) /\ ((v17_waybel_0 C A B) /\ (m2_relset_1 C (u1_struct_0 A) (u1_struct_0 B))))) => ((v1_waybel34 (k1_waybel34 A B C) B A) => (v22_waybel_0 C A B)))))))) (l1_orders_2 T_0) (v3_lattice3 T_0) (v2_lattice3 T_0) (v1_lattice3 T_0) (v4_orders_2 T_0) (v3_orders_2 T_0) (v2_orders_2 T_0) (All A, (((v2_orders_2 A) /\ ((v3_orders_2 A) /\ ((v4_orders_2 A) /\ ((v1_lattice3 A) /\ ((v2_lattice3 A) /\ ((v3_lattice3 A) /\ (l1_orders_2 A))))))) => (All B, (((v1_funct_1 B) /\ ((v1_funct_2 B (u1_struct_0 A) (u1_struct_0 A)) /\ ((v7_waybel_1 B A) /\ (m2_relset_1 B (u1_struct_0 A) (u1_struct_0 A))))) => ((v4_waybel_0 (k2_yellow_2 A A B) A) <=> (v22_waybel_0 (k3_waybel_1 A A B) (k2_yellow_2 A A B) A)))))) ### NotAllEx 207
% 7.23/7.42 209. (-. (((v2_orders_2 T_0) /\ ((v3_orders_2 T_0) /\ ((v4_orders_2 T_0) /\ ((v1_lattice3 T_0) /\ ((v2_lattice3 T_0) /\ ((v3_lattice3 T_0) /\ ((v3_waybel_3 T_0) /\ (l1_orders_2 T_0)))))))) => (All B, (((v1_funct_1 B) /\ ((v1_funct_2 B (u1_struct_0 T_0) (u1_struct_0 T_0)) /\ ((v7_waybel_1 B T_0) /\ (m2_relset_1 B (u1_struct_0 T_0) (u1_struct_0 T_0))))) => ((v1_waybel34 (k2_waybel_1 T_0 T_0 B) T_0 (k2_yellow_2 T_0 T_0 B)) => (v4_waybel_0 (k2_yellow_2 T_0 T_0 B) T_0)))))) (All A, (((v2_orders_2 A) /\ ((v3_orders_2 A) /\ ((v4_orders_2 A) /\ ((v1_lattice3 A) /\ ((v2_lattice3 A) /\ ((v3_lattice3 A) /\ (l1_orders_2 A))))))) => (All B, (((v1_funct_1 B) /\ ((v1_funct_2 B (u1_struct_0 A) (u1_struct_0 A)) /\ ((v7_waybel_1 B A) /\ (m2_relset_1 B (u1_struct_0 A) (u1_struct_0 A))))) => ((v4_waybel_0 (k2_yellow_2 A A B) A) <=> (v22_waybel_0 (k3_waybel_1 A A B) (k2_yellow_2 A A B) A)))))) (All A, (((v2_orders_2 A) /\ ((v3_orders_2 A) /\ ((v4_orders_2 A) /\ ((v1_lattice3 A) /\ ((v2_lattice3 A) /\ ((v3_lattice3 A) /\ (l1_orders_2 A))))))) => (All B, (((v2_orders_2 B) /\ ((v3_orders_2 B) /\ ((v4_orders_2 B) /\ ((v1_lattice3 B) /\ ((v2_lattice3 B) /\ ((v3_lattice3 B) /\ ((v3_waybel_3 B) /\ (l1_orders_2 B)))))))) => (All C, (((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 A) (u1_struct_0 B)) /\ ((v17_waybel_0 C A B) /\ (m2_relset_1 C (u1_struct_0 A) (u1_struct_0 B))))) => ((v1_waybel34 (k1_waybel34 A B C) B A) => (v22_waybel_0 C A B)))))))) (All A, (All B, (((-. (v3_struct_0 A)) /\ ((v2_orders_2 A) /\ ((v3_orders_2 A) /\ ((v4_orders_2 A) /\ ((l1_orders_2 A) /\ ((v1_funct_1 B) /\ ((v1_funct_2 B (u1_struct_0 A) (u1_struct_0 A)) /\ ((v7_waybel_1 B A) /\ (m1_relset_1 B (u1_struct_0 A) (u1_struct_0 A)))))))))) => ((-. (v3_struct_0 (k2_yellow_2 A A B))) /\ ((v1_orders_2 (k2_yellow_2 A A B)) /\ ((v2_orders_2 (k2_yellow_2 A A B)) /\ ((v3_orders_2 (k2_yellow_2 A A B)) /\ ((v4_orders_2 (k2_yellow_2 A A B)) /\ ((v4_yellow_0 (k2_yellow_2 A A B) A) /\ ((v5_yellow_0 (k2_yellow_2 A A B) A) /\ ((v7_yellow_0 (k2_yellow_2 A A B) A) /\ (v3_waybel_0 (k2_yellow_2 A A B) A)))))))))))) (All A, ((l1_orders_2 A) => ((v2_lattice3 A) => (-. (v3_struct_0 A))))) (All A, (All B, (((v2_orders_2 A) /\ ((v3_orders_2 A) /\ ((v4_orders_2 A) /\ ((v1_lattice3 A) /\ ((v2_lattice3 A) /\ ((v3_lattice3 A) /\ ((l1_orders_2 A) /\ ((v1_funct_1 B) /\ ((v1_funct_2 B (u1_struct_0 A) (u1_struct_0 A)) /\ ((v6_waybel_1 B A) /\ (m1_relset_1 B (u1_struct_0 A) (u1_struct_0 A)))))))))))) => ((-. (v3_struct_0 (k2_yellow_2 A A B))) /\ ((v1_orders_2 (k2_yellow_2 A A B)) /\ ((v2_orders_2 (k2_yellow_2 A A B)) /\ ((v3_orders_2 (k2_yellow_2 A A B)) /\ ((v4_orders_2 (k2_yellow_2 A A B)) /\ ((v1_yellow_0 (k2_yellow_2 A A B)) /\ ((v2_yellow_0 (k2_yellow_2 A A B)) /\ ((v3_yellow_0 (k2_yellow_2 A A B)) /\ ((v4_yellow_0 (k2_yellow_2 A A B) A) /\ ((v24_waybel_0 (k2_yellow_2 A A B)) /\ ((v25_waybel_0 (k2_yellow_2 A A B)) /\ ((v1_lattice3 (k2_yellow_2 A A B)) /\ ((v2_lattice3 (k2_yellow_2 A A B)) /\ (v3_lattice3 (k2_yellow_2 A A B)))))))))))))))))) (All A, (((-. (v3_struct_0 A)) /\ (l1_orders_2 A)) => (All B, ((m1_relset_1 B (u1_struct_0 A) (u1_struct_0 A)) => (((v1_funct_1 B) /\ ((v1_funct_2 B (u1_struct_0 A) (u1_struct_0 A)) /\ (v7_waybel_1 B A))) => ((v1_funct_1 B) /\ ((-. (v1_xboole_0 B)) /\ ((v1_funct_2 B (u1_struct_0 A) (u1_struct_0 A)) /\ ((v1_partfun1 B (u1_struct_0 A) (u1_struct_0 A)) /\ (v6_waybel_1 B A)))))))))) (All A, (All B, (All C, (((-. (v3_struct_0 A)) /\ ((l1_orders_2 A) /\ ((-. (v3_struct_0 B)) /\ ((l1_orders_2 B) /\ ((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 A) (u1_struct_0 B)) /\ (m1_relset_1 C (u1_struct_0 A) (u1_struct_0 B)))))))) => ((v1_orders_2 (k2_yellow_2 A B C)) /\ ((v4_yellow_0 (k2_yellow_2 A B C) B) /\ (m1_yellow_0 (k2_yellow_2 A B C) B))))))) (All A, ((l1_orders_2 A) => (All B, ((m1_yellow_0 B A) => (l1_orders_2 B))))) (All A, (All B, (All C, (((-. (v3_struct_0 A)) /\ ((l1_orders_2 A) /\ ((-. (v3_struct_0 B)) /\ ((l1_orders_2 B) /\ ((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 A) (u1_struct_0 B)) /\ (m1_relset_1 C (u1_struct_0 A) (u1_struct_0 B)))))))) => ((v1_funct_1 (k3_waybel_1 A B C)) /\ ((v1_funct_2 (k3_waybel_1 A B C) (u1_struct_0 (k2_yellow_2 A B C)) (u1_struct_0 B)) /\ (m2_relset_1 (k3_waybel_1 A B C) (u1_struct_0 (k2_yellow_2 A B C)) (u1_struct_0 B)))))))) (All A, (((v2_orders_2 A) /\ ((v3_orders_2 A) /\ ((v4_orders_2 A) /\ ((v1_lattice3 A) /\ ((v2_lattice3 A) /\ ((v3_lattice3 A) /\ (l1_orders_2 A))))))) => (All B, (((v1_funct_1 B) /\ ((v1_funct_2 B (u1_struct_0 A) (u1_struct_0 A)) /\ ((v7_waybel_1 B A) /\ (m2_relset_1 B (u1_struct_0 A) (u1_struct_0 A))))) => ((v18_waybel_0 (k2_waybel_1 A A B) A (k2_yellow_2 A A B)) /\ ((v17_waybel_0 (k3_waybel_1 A A B) (k2_yellow_2 A A B) A) /\ (((k2_waybel34 (k2_yellow_2 A A B) A (k2_waybel_1 A A B)) = (k3_waybel_1 A A B)) /\ ((k1_waybel34 (k2_yellow_2 A A B) A (k3_waybel_1 A A B)) = (k2_waybel_1 A A B))))))))) ### ConjTree 208
% 7.23/7.42 210. (-. (All A, (((v2_orders_2 A) /\ ((v3_orders_2 A) /\ ((v4_orders_2 A) /\ ((v1_lattice3 A) /\ ((v2_lattice3 A) /\ ((v3_lattice3 A) /\ ((v3_waybel_3 A) /\ (l1_orders_2 A)))))))) => (All B, (((v1_funct_1 B) /\ ((v1_funct_2 B (u1_struct_0 A) (u1_struct_0 A)) /\ ((v7_waybel_1 B A) /\ (m2_relset_1 B (u1_struct_0 A) (u1_struct_0 A))))) => ((v1_waybel34 (k2_waybel_1 A A B) A (k2_yellow_2 A A B)) => (v4_waybel_0 (k2_yellow_2 A A B) A))))))) (All A, (((v2_orders_2 A) /\ ((v3_orders_2 A) /\ ((v4_orders_2 A) /\ ((v1_lattice3 A) /\ ((v2_lattice3 A) /\ ((v3_lattice3 A) /\ (l1_orders_2 A))))))) => (All B, (((v1_funct_1 B) /\ ((v1_funct_2 B (u1_struct_0 A) (u1_struct_0 A)) /\ ((v7_waybel_1 B A) /\ (m2_relset_1 B (u1_struct_0 A) (u1_struct_0 A))))) => ((v18_waybel_0 (k2_waybel_1 A A B) A (k2_yellow_2 A A B)) /\ ((v17_waybel_0 (k3_waybel_1 A A B) (k2_yellow_2 A A B) A) /\ (((k2_waybel34 (k2_yellow_2 A A B) A (k2_waybel_1 A A B)) = (k3_waybel_1 A A B)) /\ ((k1_waybel34 (k2_yellow_2 A A B) A (k3_waybel_1 A A B)) = (k2_waybel_1 A A B))))))))) (All A, (All B, (All C, (((-. (v3_struct_0 A)) /\ ((l1_orders_2 A) /\ ((-. (v3_struct_0 B)) /\ ((l1_orders_2 B) /\ ((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 A) (u1_struct_0 B)) /\ (m1_relset_1 C (u1_struct_0 A) (u1_struct_0 B)))))))) => ((v1_funct_1 (k3_waybel_1 A B C)) /\ ((v1_funct_2 (k3_waybel_1 A B C) (u1_struct_0 (k2_yellow_2 A B C)) (u1_struct_0 B)) /\ (m2_relset_1 (k3_waybel_1 A B C) (u1_struct_0 (k2_yellow_2 A B C)) (u1_struct_0 B)))))))) (All A, ((l1_orders_2 A) => (All B, ((m1_yellow_0 B A) => (l1_orders_2 B))))) (All A, (All B, (All C, (((-. (v3_struct_0 A)) /\ ((l1_orders_2 A) /\ ((-. (v3_struct_0 B)) /\ ((l1_orders_2 B) /\ ((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 A) (u1_struct_0 B)) /\ (m1_relset_1 C (u1_struct_0 A) (u1_struct_0 B)))))))) => ((v1_orders_2 (k2_yellow_2 A B C)) /\ ((v4_yellow_0 (k2_yellow_2 A B C) B) /\ (m1_yellow_0 (k2_yellow_2 A B C) B))))))) (All A, (((-. (v3_struct_0 A)) /\ (l1_orders_2 A)) => (All B, ((m1_relset_1 B (u1_struct_0 A) (u1_struct_0 A)) => (((v1_funct_1 B) /\ ((v1_funct_2 B (u1_struct_0 A) (u1_struct_0 A)) /\ (v7_waybel_1 B A))) => ((v1_funct_1 B) /\ ((-. (v1_xboole_0 B)) /\ ((v1_funct_2 B (u1_struct_0 A) (u1_struct_0 A)) /\ ((v1_partfun1 B (u1_struct_0 A) (u1_struct_0 A)) /\ (v6_waybel_1 B A)))))))))) (All A, (All B, (((v2_orders_2 A) /\ ((v3_orders_2 A) /\ ((v4_orders_2 A) /\ ((v1_lattice3 A) /\ ((v2_lattice3 A) /\ ((v3_lattice3 A) /\ ((l1_orders_2 A) /\ ((v1_funct_1 B) /\ ((v1_funct_2 B (u1_struct_0 A) (u1_struct_0 A)) /\ ((v6_waybel_1 B A) /\ (m1_relset_1 B (u1_struct_0 A) (u1_struct_0 A)))))))))))) => ((-. (v3_struct_0 (k2_yellow_2 A A B))) /\ ((v1_orders_2 (k2_yellow_2 A A B)) /\ ((v2_orders_2 (k2_yellow_2 A A B)) /\ ((v3_orders_2 (k2_yellow_2 A A B)) /\ ((v4_orders_2 (k2_yellow_2 A A B)) /\ ((v1_yellow_0 (k2_yellow_2 A A B)) /\ ((v2_yellow_0 (k2_yellow_2 A A B)) /\ ((v3_yellow_0 (k2_yellow_2 A A B)) /\ ((v4_yellow_0 (k2_yellow_2 A A B) A) /\ ((v24_waybel_0 (k2_yellow_2 A A B)) /\ ((v25_waybel_0 (k2_yellow_2 A A B)) /\ ((v1_lattice3 (k2_yellow_2 A A B)) /\ ((v2_lattice3 (k2_yellow_2 A A B)) /\ (v3_lattice3 (k2_yellow_2 A A B)))))))))))))))))) (All A, ((l1_orders_2 A) => ((v2_lattice3 A) => (-. (v3_struct_0 A))))) (All A, (All B, (((-. (v3_struct_0 A)) /\ ((v2_orders_2 A) /\ ((v3_orders_2 A) /\ ((v4_orders_2 A) /\ ((l1_orders_2 A) /\ ((v1_funct_1 B) /\ ((v1_funct_2 B (u1_struct_0 A) (u1_struct_0 A)) /\ ((v7_waybel_1 B A) /\ (m1_relset_1 B (u1_struct_0 A) (u1_struct_0 A)))))))))) => ((-. (v3_struct_0 (k2_yellow_2 A A B))) /\ ((v1_orders_2 (k2_yellow_2 A A B)) /\ ((v2_orders_2 (k2_yellow_2 A A B)) /\ ((v3_orders_2 (k2_yellow_2 A A B)) /\ ((v4_orders_2 (k2_yellow_2 A A B)) /\ ((v4_yellow_0 (k2_yellow_2 A A B) A) /\ ((v5_yellow_0 (k2_yellow_2 A A B) A) /\ ((v7_yellow_0 (k2_yellow_2 A A B) A) /\ (v3_waybel_0 (k2_yellow_2 A A B) A)))))))))))) (All A, (((v2_orders_2 A) /\ ((v3_orders_2 A) /\ ((v4_orders_2 A) /\ ((v1_lattice3 A) /\ ((v2_lattice3 A) /\ ((v3_lattice3 A) /\ (l1_orders_2 A))))))) => (All B, (((v2_orders_2 B) /\ ((v3_orders_2 B) /\ ((v4_orders_2 B) /\ ((v1_lattice3 B) /\ ((v2_lattice3 B) /\ ((v3_lattice3 B) /\ ((v3_waybel_3 B) /\ (l1_orders_2 B)))))))) => (All C, (((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 A) (u1_struct_0 B)) /\ ((v17_waybel_0 C A B) /\ (m2_relset_1 C (u1_struct_0 A) (u1_struct_0 B))))) => ((v1_waybel34 (k1_waybel34 A B C) B A) => (v22_waybel_0 C A B)))))))) (All A, (((v2_orders_2 A) /\ ((v3_orders_2 A) /\ ((v4_orders_2 A) /\ ((v1_lattice3 A) /\ ((v2_lattice3 A) /\ ((v3_lattice3 A) /\ (l1_orders_2 A))))))) => (All B, (((v1_funct_1 B) /\ ((v1_funct_2 B (u1_struct_0 A) (u1_struct_0 A)) /\ ((v7_waybel_1 B A) /\ (m2_relset_1 B (u1_struct_0 A) (u1_struct_0 A))))) => ((v4_waybel_0 (k2_yellow_2 A A B) A) <=> (v22_waybel_0 (k3_waybel_1 A A B) (k2_yellow_2 A A B) A)))))) ### NotAllEx 209
% 7.23/7.42 % SZS output end Proof
% 7.23/7.42 (* END-PROOF *)
%------------------------------------------------------------------------------