TSTP Solution File: LAT380+1 by SuperZenon---0.0.1
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%------------------------------------------------------------------------------
% File : SuperZenon---0.0.1
% Problem : LAT380+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 : n005.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 06:58:11 EDT 2022
% Result : Theorem 2.82s 3.00s
% Output : Proof 3.61s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LAT380+1 : TPTP v8.1.0. Released v3.4.0.
% 0.03/0.13 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s
% 0.13/0.33 % Computer : n005.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Thu Jun 30 06:33:52 EDT 2022
% 0.13/0.34 % CPUTime :
% 2.82/3.00 % SZS status Theorem
% 2.82/3.00 (* PROOF-FOUND *)
% 2.82/3.00 (* BEGIN-PROOF *)
% 2.82/3.00 % SZS output start Proof
% 2.82/3.00 1. (v2_orders_2 T_0) (-. (v2_orders_2 T_0)) ### Axiom
% 2.82/3.00 2. (v3_orders_2 T_0) (-. (v3_orders_2 T_0)) ### Axiom
% 2.82/3.00 3. (v4_orders_2 T_0) (-. (v4_orders_2 T_0)) ### Axiom
% 2.82/3.00 4. (v1_lattice3 T_0) (-. (v1_lattice3 T_0)) ### Axiom
% 2.82/3.00 5. (v2_lattice3 T_0) (-. (v2_lattice3 T_0)) ### Axiom
% 2.82/3.00 6. (v3_lattice3 T_0) (-. (v3_lattice3 T_0)) ### Axiom
% 2.82/3.00 7. (l1_orders_2 T_0) (-. (l1_orders_2 T_0)) ### Axiom
% 2.82/3.00 8. (v2_orders_2 T_1) (-. (v2_orders_2 T_1)) ### Axiom
% 2.82/3.00 9. (v3_orders_2 T_1) (-. (v3_orders_2 T_1)) ### Axiom
% 2.82/3.00 10. (v4_orders_2 T_1) (-. (v4_orders_2 T_1)) ### Axiom
% 2.82/3.00 11. (v1_lattice3 T_1) (-. (v1_lattice3 T_1)) ### Axiom
% 2.82/3.00 12. (v2_lattice3 T_1) (-. (v2_lattice3 T_1)) ### Axiom
% 2.82/3.00 13. (v3_lattice3 T_1) (-. (v3_lattice3 T_1)) ### Axiom
% 2.82/3.00 14. (v2_orders_2 T_1) (-. (v2_orders_2 T_1)) ### Axiom
% 2.82/3.00 15. (v3_orders_2 T_1) (-. (v3_orders_2 T_1)) ### Axiom
% 2.82/3.00 16. (v4_orders_2 T_1) (-. (v4_orders_2 T_1)) ### Axiom
% 2.82/3.00 17. (v1_lattice3 T_1) (-. (v1_lattice3 T_1)) ### Axiom
% 2.82/3.00 18. (v2_lattice3 T_1) (-. (v2_lattice3 T_1)) ### Axiom
% 2.82/3.00 19. (l1_orders_2 T_1) (-. (l1_orders_2 T_1)) ### Axiom
% 2.82/3.00 20. (v2_waybel_8 T_1) (-. (v2_waybel_8 T_1)) ### Axiom
% 2.82/3.00 21. (-. (v3_waybel_3 T_1)) (v3_waybel_3 T_1) ### Axiom
% 2.82/3.00 22. ((v3_waybel_3 T_1) /\ (All B, ((m1_subset_1 B (u1_struct_0 T_1)) => (All C, ((m1_subset_1 C (u1_struct_0 T_1)) => (-. ((r1_waybel_3 T_1 B C) /\ (All D, ((m1_subset_1 D (u1_struct_0 T_1)) => (-. ((r2_hidden D (u1_struct_0 (k1_waybel_8 T_1))) /\ ((r3_orders_2 T_1 B D) /\ (r3_orders_2 T_1 D C))))))))))))) (-. (v3_waybel_3 T_1)) ### And 21
% 2.82/3.00 23. ((v2_waybel_8 T_1) <=> ((v3_waybel_3 T_1) /\ (All B, ((m1_subset_1 B (u1_struct_0 T_1)) => (All C, ((m1_subset_1 C (u1_struct_0 T_1)) => (-. ((r1_waybel_3 T_1 B C) /\ (All D, ((m1_subset_1 D (u1_struct_0 T_1)) => (-. ((r2_hidden D (u1_struct_0 (k1_waybel_8 T_1))) /\ ((r3_orders_2 T_1 B D) /\ (r3_orders_2 T_1 D C)))))))))))))) (-. (v3_waybel_3 T_1)) (v2_waybel_8 T_1) ### Equiv 20 22
% 2.82/3.00 24. (((v2_orders_2 T_1) /\ ((v3_orders_2 T_1) /\ ((v4_orders_2 T_1) /\ ((v1_lattice3 T_1) /\ ((v2_lattice3 T_1) /\ (l1_orders_2 T_1)))))) => ((v2_waybel_8 T_1) <=> ((v3_waybel_3 T_1) /\ (All B, ((m1_subset_1 B (u1_struct_0 T_1)) => (All C, ((m1_subset_1 C (u1_struct_0 T_1)) => (-. ((r1_waybel_3 T_1 B C) /\ (All D, ((m1_subset_1 D (u1_struct_0 T_1)) => (-. ((r2_hidden D (u1_struct_0 (k1_waybel_8 T_1))) /\ ((r3_orders_2 T_1 B D) /\ (r3_orders_2 T_1 D C))))))))))))))) (v2_waybel_8 T_1) (-. (v3_waybel_3 T_1)) (l1_orders_2 T_1) (v2_lattice3 T_1) (v1_lattice3 T_1) (v4_orders_2 T_1) (v3_orders_2 T_1) (v2_orders_2 T_1) ### DisjTree 14 15 16 17 18 19 23
% 2.82/3.00 25. (All A, (((v2_orders_2 A) /\ ((v3_orders_2 A) /\ ((v4_orders_2 A) /\ ((v1_lattice3 A) /\ ((v2_lattice3 A) /\ (l1_orders_2 A)))))) => ((v2_waybel_8 A) <=> ((v3_waybel_3 A) /\ (All B, ((m1_subset_1 B (u1_struct_0 A)) => (All C, ((m1_subset_1 C (u1_struct_0 A)) => (-. ((r1_waybel_3 A B C) /\ (All D, ((m1_subset_1 D (u1_struct_0 A)) => (-. ((r2_hidden D (u1_struct_0 (k1_waybel_8 A))) /\ ((r3_orders_2 A B D) /\ (r3_orders_2 A D C)))))))))))))))) (v2_orders_2 T_1) (v3_orders_2 T_1) (v4_orders_2 T_1) (v1_lattice3 T_1) (v2_lattice3 T_1) (l1_orders_2 T_1) (-. (v3_waybel_3 T_1)) (v2_waybel_8 T_1) ### All 24
% 2.82/3.00 26. (l1_orders_2 T_1) (-. (l1_orders_2 T_1)) ### Axiom
% 2.82/3.00 27. (v1_funct_1 T_2) (-. (v1_funct_1 T_2)) ### Axiom
% 2.82/3.00 28. (v1_funct_2 T_2 (u1_struct_0 T_0) (u1_struct_0 T_1)) (-. (v1_funct_2 T_2 (u1_struct_0 T_0) (u1_struct_0 T_1))) ### Axiom
% 2.82/3.00 29. (v17_waybel_0 T_2 T_0 T_1) (-. (v17_waybel_0 T_2 T_0 T_1)) ### Axiom
% 2.82/3.00 30. (m1_relset_1 T_2 (u1_struct_0 T_0) (u1_struct_0 T_1)) (-. (m1_relset_1 T_2 (u1_struct_0 T_0) (u1_struct_0 T_1))) ### Axiom
% 2.82/3.00 31. (-. (m2_relset_1 T_2 (u1_struct_0 T_0) (u1_struct_0 T_1))) (m1_relset_1 T_2 (u1_struct_0 T_0) (u1_struct_0 T_1)) ### Definition-Pseudo(m2_relset_1) 30
% 2.82/3.00 32. (v2_orders_2 T_0) (-. (v2_orders_2 T_0)) ### Axiom
% 2.82/3.00 33. (v3_orders_2 T_0) (-. (v3_orders_2 T_0)) ### Axiom
% 2.82/3.00 34. (v4_orders_2 T_0) (-. (v4_orders_2 T_0)) ### Axiom
% 2.82/3.00 35. (v1_lattice3 T_0) (-. (v1_lattice3 T_0)) ### Axiom
% 2.82/3.00 36. (v2_lattice3 T_0) (-. (v2_lattice3 T_0)) ### Axiom
% 2.82/3.00 37. (v3_lattice3 T_0) (-. (v3_lattice3 T_0)) ### Axiom
% 2.82/3.00 38. (l1_orders_2 T_0) (-. (l1_orders_2 T_0)) ### Axiom
% 2.82/3.00 39. (v2_orders_2 T_1) (-. (v2_orders_2 T_1)) ### Axiom
% 2.82/3.00 40. (v3_orders_2 T_1) (-. (v3_orders_2 T_1)) ### Axiom
% 2.82/3.00 41. (v4_orders_2 T_1) (-. (v4_orders_2 T_1)) ### Axiom
% 2.82/3.00 42. (v1_lattice3 T_1) (-. (v1_lattice3 T_1)) ### Axiom
% 2.82/3.00 43. (v2_lattice3 T_1) (-. (v2_lattice3 T_1)) ### Axiom
% 2.82/3.00 44. (v3_lattice3 T_1) (-. (v3_lattice3 T_1)) ### Axiom
% 2.82/3.00 45. (l1_orders_2 T_1) (-. (l1_orders_2 T_1)) ### Axiom
% 2.82/3.00 46. (v2_orders_2 T_0) (-. (v2_orders_2 T_0)) ### Axiom
% 2.82/3.00 47. (v3_orders_2 T_0) (-. (v3_orders_2 T_0)) ### Axiom
% 2.82/3.00 48. (v4_orders_2 T_0) (-. (v4_orders_2 T_0)) ### Axiom
% 2.82/3.00 49. (v1_lattice3 T_0) (-. (v1_lattice3 T_0)) ### Axiom
% 2.82/3.00 50. (v2_lattice3 T_0) (-. (v2_lattice3 T_0)) ### Axiom
% 2.82/3.00 51. (l1_orders_2 T_0) (-. (l1_orders_2 T_0)) ### Axiom
% 2.82/3.00 52. (v2_orders_2 T_1) (-. (v2_orders_2 T_1)) ### Axiom
% 2.82/3.00 53. (v3_orders_2 T_1) (-. (v3_orders_2 T_1)) ### Axiom
% 2.82/3.00 54. (v4_orders_2 T_1) (-. (v4_orders_2 T_1)) ### Axiom
% 2.82/3.00 55. (v1_lattice3 T_1) (-. (v1_lattice3 T_1)) ### Axiom
% 2.82/3.00 56. (v2_lattice3 T_1) (-. (v2_lattice3 T_1)) ### Axiom
% 2.82/3.00 57. (l1_orders_2 T_1) (-. (l1_orders_2 T_1)) ### Axiom
% 2.82/3.00 58. (v1_funct_1 T_2) (-. (v1_funct_1 T_2)) ### Axiom
% 2.82/3.00 59. (v1_funct_2 T_2 (u1_struct_0 T_0) (u1_struct_0 T_1)) (-. (v1_funct_2 T_2 (u1_struct_0 T_0) (u1_struct_0 T_1))) ### Axiom
% 2.82/3.00 60. (m1_relset_1 T_2 (u1_struct_0 T_0) (u1_struct_0 T_1)) (-. (m1_relset_1 T_2 (u1_struct_0 T_0) (u1_struct_0 T_1))) ### Axiom
% 2.82/3.00 61. (-. (v1_funct_1 (k1_waybel34 T_0 T_1 T_2))) (v1_funct_1 (k1_waybel34 T_0 T_1 T_2)) ### Axiom
% 2.82/3.00 62. ((v1_funct_1 (k1_waybel34 T_0 T_1 T_2)) /\ ((v1_funct_2 (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 T_1) (u1_struct_0 T_0)) /\ (m2_relset_1 (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 T_1) (u1_struct_0 T_0)))) (-. (v1_funct_1 (k1_waybel34 T_0 T_1 T_2))) ### ConjTree 61
% 2.82/3.00 63. (((v2_orders_2 T_0) /\ ((v3_orders_2 T_0) /\ ((v4_orders_2 T_0) /\ ((v1_lattice3 T_0) /\ ((v2_lattice3 T_0) /\ ((l1_orders_2 T_0) /\ ((v2_orders_2 T_1) /\ ((v3_orders_2 T_1) /\ ((v4_orders_2 T_1) /\ ((v1_lattice3 T_1) /\ ((v2_lattice3 T_1) /\ ((l1_orders_2 T_1) /\ ((v1_funct_1 T_2) /\ ((v1_funct_2 T_2 (u1_struct_0 T_0) (u1_struct_0 T_1)) /\ (m1_relset_1 T_2 (u1_struct_0 T_0) (u1_struct_0 T_1)))))))))))))))) => ((v1_funct_1 (k1_waybel34 T_0 T_1 T_2)) /\ ((v1_funct_2 (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 T_1) (u1_struct_0 T_0)) /\ (m2_relset_1 (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 T_1) (u1_struct_0 T_0))))) (-. (v1_funct_1 (k1_waybel34 T_0 T_1 T_2))) (m1_relset_1 T_2 (u1_struct_0 T_0) (u1_struct_0 T_1)) (v1_funct_2 T_2 (u1_struct_0 T_0) (u1_struct_0 T_1)) (v1_funct_1 T_2) (l1_orders_2 T_1) (v2_lattice3 T_1) (v1_lattice3 T_1) (v4_orders_2 T_1) (v3_orders_2 T_1) (v2_orders_2 T_1) (l1_orders_2 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 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 62
% 2.82/3.00 64. (All C, (((v2_orders_2 T_0) /\ ((v3_orders_2 T_0) /\ ((v4_orders_2 T_0) /\ ((v1_lattice3 T_0) /\ ((v2_lattice3 T_0) /\ ((l1_orders_2 T_0) /\ ((v2_orders_2 T_1) /\ ((v3_orders_2 T_1) /\ ((v4_orders_2 T_1) /\ ((v1_lattice3 T_1) /\ ((v2_lattice3 T_1) /\ ((l1_orders_2 T_1) /\ ((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 T_0) (u1_struct_0 T_1)) /\ (m1_relset_1 C (u1_struct_0 T_0) (u1_struct_0 T_1)))))))))))))))) => ((v1_funct_1 (k1_waybel34 T_0 T_1 C)) /\ ((v1_funct_2 (k1_waybel34 T_0 T_1 C) (u1_struct_0 T_1) (u1_struct_0 T_0)) /\ (m2_relset_1 (k1_waybel34 T_0 T_1 C) (u1_struct_0 T_1) (u1_struct_0 T_0)))))) (v2_orders_2 T_0) (v3_orders_2 T_0) (v4_orders_2 T_0) (v1_lattice3 T_0) (v2_lattice3 T_0) (l1_orders_2 T_0) (v2_orders_2 T_1) (v3_orders_2 T_1) (v4_orders_2 T_1) (v1_lattice3 T_1) (v2_lattice3 T_1) (l1_orders_2 T_1) (v1_funct_1 T_2) (v1_funct_2 T_2 (u1_struct_0 T_0) (u1_struct_0 T_1)) (m1_relset_1 T_2 (u1_struct_0 T_0) (u1_struct_0 T_1)) (-. (v1_funct_1 (k1_waybel34 T_0 T_1 T_2))) ### All 63
% 2.82/3.00 65. (All B, (All C, (((v2_orders_2 T_0) /\ ((v3_orders_2 T_0) /\ ((v4_orders_2 T_0) /\ ((v1_lattice3 T_0) /\ ((v2_lattice3 T_0) /\ ((l1_orders_2 T_0) /\ ((v2_orders_2 B) /\ ((v3_orders_2 B) /\ ((v4_orders_2 B) /\ ((v1_lattice3 B) /\ ((v2_lattice3 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 (k1_waybel34 T_0 B C)) /\ ((v1_funct_2 (k1_waybel34 T_0 B C) (u1_struct_0 B) (u1_struct_0 T_0)) /\ (m2_relset_1 (k1_waybel34 T_0 B C) (u1_struct_0 B) (u1_struct_0 T_0))))))) (-. (v1_funct_1 (k1_waybel34 T_0 T_1 T_2))) (m1_relset_1 T_2 (u1_struct_0 T_0) (u1_struct_0 T_1)) (v1_funct_2 T_2 (u1_struct_0 T_0) (u1_struct_0 T_1)) (v1_funct_1 T_2) (l1_orders_2 T_1) (v2_lattice3 T_1) (v1_lattice3 T_1) (v4_orders_2 T_1) (v3_orders_2 T_1) (v2_orders_2 T_1) (l1_orders_2 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 64
% 2.88/3.08 66. (All A, (All B, (All C, (((v2_orders_2 A) /\ ((v3_orders_2 A) /\ ((v4_orders_2 A) /\ ((v1_lattice3 A) /\ ((v2_lattice3 A) /\ ((l1_orders_2 A) /\ ((v2_orders_2 B) /\ ((v3_orders_2 B) /\ ((v4_orders_2 B) /\ ((v1_lattice3 B) /\ ((v2_lattice3 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 (k1_waybel34 A B C)) /\ ((v1_funct_2 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)) /\ (m2_relset_1 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)))))))) (v2_orders_2 T_0) (v3_orders_2 T_0) (v4_orders_2 T_0) (v1_lattice3 T_0) (v2_lattice3 T_0) (l1_orders_2 T_0) (v2_orders_2 T_1) (v3_orders_2 T_1) (v4_orders_2 T_1) (v1_lattice3 T_1) (v2_lattice3 T_1) (l1_orders_2 T_1) (v1_funct_1 T_2) (v1_funct_2 T_2 (u1_struct_0 T_0) (u1_struct_0 T_1)) (m1_relset_1 T_2 (u1_struct_0 T_0) (u1_struct_0 T_1)) (-. (v1_funct_1 (k1_waybel34 T_0 T_1 T_2))) ### All 65
% 2.88/3.08 67. (v2_orders_2 T_0) (-. (v2_orders_2 T_0)) ### Axiom
% 2.88/3.08 68. (v3_orders_2 T_0) (-. (v3_orders_2 T_0)) ### Axiom
% 2.88/3.08 69. (v4_orders_2 T_0) (-. (v4_orders_2 T_0)) ### Axiom
% 2.88/3.08 70. (v1_lattice3 T_0) (-. (v1_lattice3 T_0)) ### Axiom
% 2.88/3.08 71. (v2_lattice3 T_0) (-. (v2_lattice3 T_0)) ### Axiom
% 2.88/3.08 72. (l1_orders_2 T_0) (-. (l1_orders_2 T_0)) ### Axiom
% 2.88/3.08 73. (v2_orders_2 T_1) (-. (v2_orders_2 T_1)) ### Axiom
% 2.88/3.08 74. (v3_orders_2 T_1) (-. (v3_orders_2 T_1)) ### Axiom
% 2.88/3.08 75. (v4_orders_2 T_1) (-. (v4_orders_2 T_1)) ### Axiom
% 2.88/3.08 76. (v1_lattice3 T_1) (-. (v1_lattice3 T_1)) ### Axiom
% 2.88/3.08 77. (v2_lattice3 T_1) (-. (v2_lattice3 T_1)) ### Axiom
% 2.88/3.08 78. (l1_orders_2 T_1) (-. (l1_orders_2 T_1)) ### Axiom
% 2.88/3.08 79. (v1_funct_1 T_2) (-. (v1_funct_1 T_2)) ### Axiom
% 2.88/3.08 80. (v1_funct_2 T_2 (u1_struct_0 T_0) (u1_struct_0 T_1)) (-. (v1_funct_2 T_2 (u1_struct_0 T_0) (u1_struct_0 T_1))) ### Axiom
% 2.88/3.08 81. (m1_relset_1 T_2 (u1_struct_0 T_0) (u1_struct_0 T_1)) (-. (m1_relset_1 T_2 (u1_struct_0 T_0) (u1_struct_0 T_1))) ### Axiom
% 2.88/3.08 82. (-. (v1_funct_2 (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 T_1) (u1_struct_0 T_0))) (v1_funct_2 (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 T_1) (u1_struct_0 T_0)) ### Axiom
% 2.88/3.08 83. ((v1_funct_1 (k1_waybel34 T_0 T_1 T_2)) /\ ((v1_funct_2 (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 T_1) (u1_struct_0 T_0)) /\ (m2_relset_1 (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 T_1) (u1_struct_0 T_0)))) (-. (v1_funct_2 (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 T_1) (u1_struct_0 T_0))) ### ConjTree 82
% 2.88/3.08 84. (((v2_orders_2 T_0) /\ ((v3_orders_2 T_0) /\ ((v4_orders_2 T_0) /\ ((v1_lattice3 T_0) /\ ((v2_lattice3 T_0) /\ ((l1_orders_2 T_0) /\ ((v2_orders_2 T_1) /\ ((v3_orders_2 T_1) /\ ((v4_orders_2 T_1) /\ ((v1_lattice3 T_1) /\ ((v2_lattice3 T_1) /\ ((l1_orders_2 T_1) /\ ((v1_funct_1 T_2) /\ ((v1_funct_2 T_2 (u1_struct_0 T_0) (u1_struct_0 T_1)) /\ (m1_relset_1 T_2 (u1_struct_0 T_0) (u1_struct_0 T_1)))))))))))))))) => ((v1_funct_1 (k1_waybel34 T_0 T_1 T_2)) /\ ((v1_funct_2 (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 T_1) (u1_struct_0 T_0)) /\ (m2_relset_1 (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 T_1) (u1_struct_0 T_0))))) (-. (v1_funct_2 (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 T_1) (u1_struct_0 T_0))) (m1_relset_1 T_2 (u1_struct_0 T_0) (u1_struct_0 T_1)) (v1_funct_2 T_2 (u1_struct_0 T_0) (u1_struct_0 T_1)) (v1_funct_1 T_2) (l1_orders_2 T_1) (v2_lattice3 T_1) (v1_lattice3 T_1) (v4_orders_2 T_1) (v3_orders_2 T_1) (v2_orders_2 T_1) (l1_orders_2 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 76 77 78 79 80 81 83
% 2.88/3.08 85. (All C, (((v2_orders_2 T_0) /\ ((v3_orders_2 T_0) /\ ((v4_orders_2 T_0) /\ ((v1_lattice3 T_0) /\ ((v2_lattice3 T_0) /\ ((l1_orders_2 T_0) /\ ((v2_orders_2 T_1) /\ ((v3_orders_2 T_1) /\ ((v4_orders_2 T_1) /\ ((v1_lattice3 T_1) /\ ((v2_lattice3 T_1) /\ ((l1_orders_2 T_1) /\ ((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 T_0) (u1_struct_0 T_1)) /\ (m1_relset_1 C (u1_struct_0 T_0) (u1_struct_0 T_1)))))))))))))))) => ((v1_funct_1 (k1_waybel34 T_0 T_1 C)) /\ ((v1_funct_2 (k1_waybel34 T_0 T_1 C) (u1_struct_0 T_1) (u1_struct_0 T_0)) /\ (m2_relset_1 (k1_waybel34 T_0 T_1 C) (u1_struct_0 T_1) (u1_struct_0 T_0)))))) (v2_orders_2 T_0) (v3_orders_2 T_0) (v4_orders_2 T_0) (v1_lattice3 T_0) (v2_lattice3 T_0) (l1_orders_2 T_0) (v2_orders_2 T_1) (v3_orders_2 T_1) (v4_orders_2 T_1) (v1_lattice3 T_1) (v2_lattice3 T_1) (l1_orders_2 T_1) (v1_funct_1 T_2) (v1_funct_2 T_2 (u1_struct_0 T_0) (u1_struct_0 T_1)) (m1_relset_1 T_2 (u1_struct_0 T_0) (u1_struct_0 T_1)) (-. (v1_funct_2 (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 T_1) (u1_struct_0 T_0))) ### All 84
% 2.88/3.08 86. (All B, (All C, (((v2_orders_2 T_0) /\ ((v3_orders_2 T_0) /\ ((v4_orders_2 T_0) /\ ((v1_lattice3 T_0) /\ ((v2_lattice3 T_0) /\ ((l1_orders_2 T_0) /\ ((v2_orders_2 B) /\ ((v3_orders_2 B) /\ ((v4_orders_2 B) /\ ((v1_lattice3 B) /\ ((v2_lattice3 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 (k1_waybel34 T_0 B C)) /\ ((v1_funct_2 (k1_waybel34 T_0 B C) (u1_struct_0 B) (u1_struct_0 T_0)) /\ (m2_relset_1 (k1_waybel34 T_0 B C) (u1_struct_0 B) (u1_struct_0 T_0))))))) (-. (v1_funct_2 (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 T_1) (u1_struct_0 T_0))) (m1_relset_1 T_2 (u1_struct_0 T_0) (u1_struct_0 T_1)) (v1_funct_2 T_2 (u1_struct_0 T_0) (u1_struct_0 T_1)) (v1_funct_1 T_2) (l1_orders_2 T_1) (v2_lattice3 T_1) (v1_lattice3 T_1) (v4_orders_2 T_1) (v3_orders_2 T_1) (v2_orders_2 T_1) (l1_orders_2 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 85
% 2.88/3.08 87. (All A, (All B, (All C, (((v2_orders_2 A) /\ ((v3_orders_2 A) /\ ((v4_orders_2 A) /\ ((v1_lattice3 A) /\ ((v2_lattice3 A) /\ ((l1_orders_2 A) /\ ((v2_orders_2 B) /\ ((v3_orders_2 B) /\ ((v4_orders_2 B) /\ ((v1_lattice3 B) /\ ((v2_lattice3 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 (k1_waybel34 A B C)) /\ ((v1_funct_2 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)) /\ (m2_relset_1 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)))))))) (v2_orders_2 T_0) (v3_orders_2 T_0) (v4_orders_2 T_0) (v1_lattice3 T_0) (v2_lattice3 T_0) (l1_orders_2 T_0) (v2_orders_2 T_1) (v3_orders_2 T_1) (v4_orders_2 T_1) (v1_lattice3 T_1) (v2_lattice3 T_1) (l1_orders_2 T_1) (v1_funct_1 T_2) (v1_funct_2 T_2 (u1_struct_0 T_0) (u1_struct_0 T_1)) (m1_relset_1 T_2 (u1_struct_0 T_0) (u1_struct_0 T_1)) (-. (v1_funct_2 (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 T_1) (u1_struct_0 T_0))) ### All 86
% 2.88/3.08 88. (v2_orders_2 T_0) (-. (v2_orders_2 T_0)) ### Axiom
% 2.88/3.08 89. (v3_orders_2 T_0) (-. (v3_orders_2 T_0)) ### Axiom
% 2.88/3.08 90. (v4_orders_2 T_0) (-. (v4_orders_2 T_0)) ### Axiom
% 2.88/3.08 91. (v1_lattice3 T_0) (-. (v1_lattice3 T_0)) ### Axiom
% 2.88/3.08 92. (v2_lattice3 T_0) (-. (v2_lattice3 T_0)) ### Axiom
% 2.88/3.08 93. (v3_lattice3 T_0) (-. (v3_lattice3 T_0)) ### Axiom
% 2.88/3.08 94. (l1_orders_2 T_0) (-. (l1_orders_2 T_0)) ### Axiom
% 2.88/3.08 95. (v2_orders_2 T_1) (-. (v2_orders_2 T_1)) ### Axiom
% 2.88/3.08 96. (v3_orders_2 T_1) (-. (v3_orders_2 T_1)) ### Axiom
% 2.88/3.08 97. (v4_orders_2 T_1) (-. (v4_orders_2 T_1)) ### Axiom
% 2.88/3.08 98. (v1_lattice3 T_1) (-. (v1_lattice3 T_1)) ### Axiom
% 2.88/3.08 99. (v2_lattice3 T_1) (-. (v2_lattice3 T_1)) ### Axiom
% 3.06/3.35 100. (v3_lattice3 T_1) (-. (v3_lattice3 T_1)) ### Axiom
% 3.06/3.35 101. (l1_orders_2 T_1) (-. (l1_orders_2 T_1)) ### Axiom
% 3.06/3.35 102. (v1_funct_1 T_2) (-. (v1_funct_1 T_2)) ### Axiom
% 3.06/3.35 103. (v1_funct_2 T_2 (u1_struct_0 T_0) (u1_struct_0 T_1)) (-. (v1_funct_2 T_2 (u1_struct_0 T_0) (u1_struct_0 T_1))) ### Axiom
% 3.06/3.35 104. (v17_waybel_0 T_2 T_0 T_1) (-. (v17_waybel_0 T_2 T_0 T_1)) ### Axiom
% 3.06/3.35 105. (m1_relset_1 T_2 (u1_struct_0 T_0) (u1_struct_0 T_1)) (-. (m1_relset_1 T_2 (u1_struct_0 T_0) (u1_struct_0 T_1))) ### Axiom
% 3.06/3.35 106. (-. (v18_waybel_0 (k1_waybel34 T_0 T_1 T_2) T_1 T_0)) (v18_waybel_0 (k1_waybel34 T_0 T_1 T_2) T_1 T_0) ### Axiom
% 3.06/3.35 107. ((v1_relat_1 (k1_waybel34 T_0 T_1 T_2)) /\ ((v1_funct_1 (k1_waybel34 T_0 T_1 T_2)) /\ ((-. (v1_xboole_0 (k1_waybel34 T_0 T_1 T_2))) /\ ((v1_funct_2 (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 T_1) (u1_struct_0 T_0)) /\ ((v1_partfun1 (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 T_1) (u1_struct_0 T_0)) /\ ((v18_waybel_0 (k1_waybel34 T_0 T_1 T_2) T_1 T_0) /\ ((v20_waybel_0 (k1_waybel34 T_0 T_1 T_2) T_1 T_0) /\ ((v22_waybel_0 (k1_waybel34 T_0 T_1 T_2) T_1 T_0) /\ ((v5_waybel_1 (k1_waybel34 T_0 T_1 T_2) T_0 T_1) /\ (v5_orders_3 (k1_waybel34 T_0 T_1 T_2) T_1 T_0)))))))))) (-. (v18_waybel_0 (k1_waybel34 T_0 T_1 T_2) T_1 T_0)) ### ConjTree 106
% 3.06/3.35 108. (((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) /\ ((v2_orders_2 T_1) /\ ((v3_orders_2 T_1) /\ ((v4_orders_2 T_1) /\ ((v1_lattice3 T_1) /\ ((v2_lattice3 T_1) /\ ((v3_lattice3 T_1) /\ ((l1_orders_2 T_1) /\ ((v1_funct_1 T_2) /\ ((v1_funct_2 T_2 (u1_struct_0 T_0) (u1_struct_0 T_1)) /\ ((v17_waybel_0 T_2 T_0 T_1) /\ (m1_relset_1 T_2 (u1_struct_0 T_0) (u1_struct_0 T_1))))))))))))))))))) => ((v1_relat_1 (k1_waybel34 T_0 T_1 T_2)) /\ ((v1_funct_1 (k1_waybel34 T_0 T_1 T_2)) /\ ((-. (v1_xboole_0 (k1_waybel34 T_0 T_1 T_2))) /\ ((v1_funct_2 (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 T_1) (u1_struct_0 T_0)) /\ ((v1_partfun1 (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 T_1) (u1_struct_0 T_0)) /\ ((v18_waybel_0 (k1_waybel34 T_0 T_1 T_2) T_1 T_0) /\ ((v20_waybel_0 (k1_waybel34 T_0 T_1 T_2) T_1 T_0) /\ ((v22_waybel_0 (k1_waybel34 T_0 T_1 T_2) T_1 T_0) /\ ((v5_waybel_1 (k1_waybel34 T_0 T_1 T_2) T_0 T_1) /\ (v5_orders_3 (k1_waybel34 T_0 T_1 T_2) T_1 T_0))))))))))) (-. (v18_waybel_0 (k1_waybel34 T_0 T_1 T_2) T_1 T_0)) (m1_relset_1 T_2 (u1_struct_0 T_0) (u1_struct_0 T_1)) (v17_waybel_0 T_2 T_0 T_1) (v1_funct_2 T_2 (u1_struct_0 T_0) (u1_struct_0 T_1)) (v1_funct_1 T_2) (l1_orders_2 T_1) (v3_lattice3 T_1) (v2_lattice3 T_1) (v1_lattice3 T_1) (v4_orders_2 T_1) (v3_orders_2 T_1) (v2_orders_2 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 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 107
% 3.06/3.35 109. (All C, (((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) /\ ((v2_orders_2 T_1) /\ ((v3_orders_2 T_1) /\ ((v4_orders_2 T_1) /\ ((v1_lattice3 T_1) /\ ((v2_lattice3 T_1) /\ ((v3_lattice3 T_1) /\ ((l1_orders_2 T_1) /\ ((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 T_0) (u1_struct_0 T_1)) /\ ((v17_waybel_0 C T_0 T_1) /\ (m1_relset_1 C (u1_struct_0 T_0) (u1_struct_0 T_1))))))))))))))))))) => ((v1_relat_1 (k1_waybel34 T_0 T_1 C)) /\ ((v1_funct_1 (k1_waybel34 T_0 T_1 C)) /\ ((-. (v1_xboole_0 (k1_waybel34 T_0 T_1 C))) /\ ((v1_funct_2 (k1_waybel34 T_0 T_1 C) (u1_struct_0 T_1) (u1_struct_0 T_0)) /\ ((v1_partfun1 (k1_waybel34 T_0 T_1 C) (u1_struct_0 T_1) (u1_struct_0 T_0)) /\ ((v18_waybel_0 (k1_waybel34 T_0 T_1 C) T_1 T_0) /\ ((v20_waybel_0 (k1_waybel34 T_0 T_1 C) T_1 T_0) /\ ((v22_waybel_0 (k1_waybel34 T_0 T_1 C) T_1 T_0) /\ ((v5_waybel_1 (k1_waybel34 T_0 T_1 C) T_0 T_1) /\ (v5_orders_3 (k1_waybel34 T_0 T_1 C) T_1 T_0)))))))))))) (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) (v2_orders_2 T_1) (v3_orders_2 T_1) (v4_orders_2 T_1) (v1_lattice3 T_1) (v2_lattice3 T_1) (v3_lattice3 T_1) (l1_orders_2 T_1) (v1_funct_1 T_2) (v1_funct_2 T_2 (u1_struct_0 T_0) (u1_struct_0 T_1)) (v17_waybel_0 T_2 T_0 T_1) (m1_relset_1 T_2 (u1_struct_0 T_0) (u1_struct_0 T_1)) (-. (v18_waybel_0 (k1_waybel34 T_0 T_1 T_2) T_1 T_0)) ### All 108
% 3.06/3.35 110. (All B, (All C, (((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) /\ ((v2_orders_2 B) /\ ((v3_orders_2 B) /\ ((v4_orders_2 B) /\ ((v1_lattice3 B) /\ ((v2_lattice3 B) /\ ((v3_lattice3 B) /\ ((l1_orders_2 B) /\ ((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 T_0) (u1_struct_0 B)) /\ ((v17_waybel_0 C T_0 B) /\ (m1_relset_1 C (u1_struct_0 T_0) (u1_struct_0 B))))))))))))))))))) => ((v1_relat_1 (k1_waybel34 T_0 B C)) /\ ((v1_funct_1 (k1_waybel34 T_0 B C)) /\ ((-. (v1_xboole_0 (k1_waybel34 T_0 B C))) /\ ((v1_funct_2 (k1_waybel34 T_0 B C) (u1_struct_0 B) (u1_struct_0 T_0)) /\ ((v1_partfun1 (k1_waybel34 T_0 B C) (u1_struct_0 B) (u1_struct_0 T_0)) /\ ((v18_waybel_0 (k1_waybel34 T_0 B C) B T_0) /\ ((v20_waybel_0 (k1_waybel34 T_0 B C) B T_0) /\ ((v22_waybel_0 (k1_waybel34 T_0 B C) B T_0) /\ ((v5_waybel_1 (k1_waybel34 T_0 B C) T_0 B) /\ (v5_orders_3 (k1_waybel34 T_0 B C) B T_0))))))))))))) (-. (v18_waybel_0 (k1_waybel34 T_0 T_1 T_2) T_1 T_0)) (m1_relset_1 T_2 (u1_struct_0 T_0) (u1_struct_0 T_1)) (v17_waybel_0 T_2 T_0 T_1) (v1_funct_2 T_2 (u1_struct_0 T_0) (u1_struct_0 T_1)) (v1_funct_1 T_2) (l1_orders_2 T_1) (v3_lattice3 T_1) (v2_lattice3 T_1) (v1_lattice3 T_1) (v4_orders_2 T_1) (v3_orders_2 T_1) (v2_orders_2 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 109
% 3.06/3.35 111. (All A, (All B, (All C, (((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) /\ ((v2_orders_2 B) /\ ((v3_orders_2 B) /\ ((v4_orders_2 B) /\ ((v1_lattice3 B) /\ ((v2_lattice3 B) /\ ((v3_lattice3 B) /\ ((l1_orders_2 B) /\ ((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 A) (u1_struct_0 B)) /\ ((v17_waybel_0 C A B) /\ (m1_relset_1 C (u1_struct_0 A) (u1_struct_0 B))))))))))))))))))) => ((v1_relat_1 (k1_waybel34 A B C)) /\ ((v1_funct_1 (k1_waybel34 A B C)) /\ ((-. (v1_xboole_0 (k1_waybel34 A B C))) /\ ((v1_funct_2 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)) /\ ((v1_partfun1 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)) /\ ((v18_waybel_0 (k1_waybel34 A B C) B A) /\ ((v20_waybel_0 (k1_waybel34 A B C) B A) /\ ((v22_waybel_0 (k1_waybel34 A B C) B A) /\ ((v5_waybel_1 (k1_waybel34 A B C) A B) /\ (v5_orders_3 (k1_waybel34 A B C) 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) (v2_orders_2 T_1) (v3_orders_2 T_1) (v4_orders_2 T_1) (v1_lattice3 T_1) (v2_lattice3 T_1) (v3_lattice3 T_1) (l1_orders_2 T_1) (v1_funct_1 T_2) (v1_funct_2 T_2 (u1_struct_0 T_0) (u1_struct_0 T_1)) (v17_waybel_0 T_2 T_0 T_1) (m1_relset_1 T_2 (u1_struct_0 T_0) (u1_struct_0 T_1)) (-. (v18_waybel_0 (k1_waybel34 T_0 T_1 T_2) T_1 T_0)) ### All 110
% 3.06/3.35 112. (v2_orders_2 T_0) (-. (v2_orders_2 T_0)) ### Axiom
% 3.06/3.35 113. (v3_orders_2 T_0) (-. (v3_orders_2 T_0)) ### Axiom
% 3.06/3.35 114. (v4_orders_2 T_0) (-. (v4_orders_2 T_0)) ### Axiom
% 3.06/3.35 115. (v1_lattice3 T_0) (-. (v1_lattice3 T_0)) ### Axiom
% 3.06/3.35 116. (v2_lattice3 T_0) (-. (v2_lattice3 T_0)) ### Axiom
% 3.06/3.35 117. (l1_orders_2 T_0) (-. (l1_orders_2 T_0)) ### Axiom
% 3.06/3.35 118. (v2_orders_2 T_1) (-. (v2_orders_2 T_1)) ### Axiom
% 3.06/3.35 119. (v3_orders_2 T_1) (-. (v3_orders_2 T_1)) ### Axiom
% 3.06/3.35 120. (v4_orders_2 T_1) (-. (v4_orders_2 T_1)) ### Axiom
% 3.06/3.35 121. (v1_lattice3 T_1) (-. (v1_lattice3 T_1)) ### Axiom
% 3.06/3.35 122. (v2_lattice3 T_1) (-. (v2_lattice3 T_1)) ### Axiom
% 3.06/3.35 123. (l1_orders_2 T_1) (-. (l1_orders_2 T_1)) ### Axiom
% 3.06/3.35 124. (v1_funct_1 T_2) (-. (v1_funct_1 T_2)) ### Axiom
% 3.06/3.35 125. (v1_funct_2 T_2 (u1_struct_0 T_0) (u1_struct_0 T_1)) (-. (v1_funct_2 T_2 (u1_struct_0 T_0) (u1_struct_0 T_1))) ### Axiom
% 3.18/3.37 126. (m1_relset_1 T_2 (u1_struct_0 T_0) (u1_struct_0 T_1)) (-. (m1_relset_1 T_2 (u1_struct_0 T_0) (u1_struct_0 T_1))) ### Axiom
% 3.18/3.37 127. (-. (m1_relset_1 (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 T_1) (u1_struct_0 T_0))) (m1_relset_1 (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 T_1) (u1_struct_0 T_0)) ### Axiom
% 3.18/3.37 128. (m2_relset_1 (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 T_1) (u1_struct_0 T_0)) (-. (m1_relset_1 (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 T_1) (u1_struct_0 T_0))) ### Definition-Pseudo(m2_relset_1) 127
% 3.18/3.37 129. ((v1_funct_1 (k1_waybel34 T_0 T_1 T_2)) /\ ((v1_funct_2 (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 T_1) (u1_struct_0 T_0)) /\ (m2_relset_1 (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 T_1) (u1_struct_0 T_0)))) (-. (m1_relset_1 (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 T_1) (u1_struct_0 T_0))) ### ConjTree 128
% 3.18/3.37 130. (((v2_orders_2 T_0) /\ ((v3_orders_2 T_0) /\ ((v4_orders_2 T_0) /\ ((v1_lattice3 T_0) /\ ((v2_lattice3 T_0) /\ ((l1_orders_2 T_0) /\ ((v2_orders_2 T_1) /\ ((v3_orders_2 T_1) /\ ((v4_orders_2 T_1) /\ ((v1_lattice3 T_1) /\ ((v2_lattice3 T_1) /\ ((l1_orders_2 T_1) /\ ((v1_funct_1 T_2) /\ ((v1_funct_2 T_2 (u1_struct_0 T_0) (u1_struct_0 T_1)) /\ (m1_relset_1 T_2 (u1_struct_0 T_0) (u1_struct_0 T_1)))))))))))))))) => ((v1_funct_1 (k1_waybel34 T_0 T_1 T_2)) /\ ((v1_funct_2 (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 T_1) (u1_struct_0 T_0)) /\ (m2_relset_1 (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 T_1) (u1_struct_0 T_0))))) (-. (m1_relset_1 (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 T_1) (u1_struct_0 T_0))) (m1_relset_1 T_2 (u1_struct_0 T_0) (u1_struct_0 T_1)) (v1_funct_2 T_2 (u1_struct_0 T_0) (u1_struct_0 T_1)) (v1_funct_1 T_2) (l1_orders_2 T_1) (v2_lattice3 T_1) (v1_lattice3 T_1) (v4_orders_2 T_1) (v3_orders_2 T_1) (v2_orders_2 T_1) (l1_orders_2 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 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 129
% 3.18/3.37 131. (All C, (((v2_orders_2 T_0) /\ ((v3_orders_2 T_0) /\ ((v4_orders_2 T_0) /\ ((v1_lattice3 T_0) /\ ((v2_lattice3 T_0) /\ ((l1_orders_2 T_0) /\ ((v2_orders_2 T_1) /\ ((v3_orders_2 T_1) /\ ((v4_orders_2 T_1) /\ ((v1_lattice3 T_1) /\ ((v2_lattice3 T_1) /\ ((l1_orders_2 T_1) /\ ((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 T_0) (u1_struct_0 T_1)) /\ (m1_relset_1 C (u1_struct_0 T_0) (u1_struct_0 T_1)))))))))))))))) => ((v1_funct_1 (k1_waybel34 T_0 T_1 C)) /\ ((v1_funct_2 (k1_waybel34 T_0 T_1 C) (u1_struct_0 T_1) (u1_struct_0 T_0)) /\ (m2_relset_1 (k1_waybel34 T_0 T_1 C) (u1_struct_0 T_1) (u1_struct_0 T_0)))))) (v2_orders_2 T_0) (v3_orders_2 T_0) (v4_orders_2 T_0) (v1_lattice3 T_0) (v2_lattice3 T_0) (l1_orders_2 T_0) (v2_orders_2 T_1) (v3_orders_2 T_1) (v4_orders_2 T_1) (v1_lattice3 T_1) (v2_lattice3 T_1) (l1_orders_2 T_1) (v1_funct_1 T_2) (v1_funct_2 T_2 (u1_struct_0 T_0) (u1_struct_0 T_1)) (m1_relset_1 T_2 (u1_struct_0 T_0) (u1_struct_0 T_1)) (-. (m1_relset_1 (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 T_1) (u1_struct_0 T_0))) ### All 130
% 3.18/3.37 132. (All B, (All C, (((v2_orders_2 T_0) /\ ((v3_orders_2 T_0) /\ ((v4_orders_2 T_0) /\ ((v1_lattice3 T_0) /\ ((v2_lattice3 T_0) /\ ((l1_orders_2 T_0) /\ ((v2_orders_2 B) /\ ((v3_orders_2 B) /\ ((v4_orders_2 B) /\ ((v1_lattice3 B) /\ ((v2_lattice3 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 (k1_waybel34 T_0 B C)) /\ ((v1_funct_2 (k1_waybel34 T_0 B C) (u1_struct_0 B) (u1_struct_0 T_0)) /\ (m2_relset_1 (k1_waybel34 T_0 B C) (u1_struct_0 B) (u1_struct_0 T_0))))))) (-. (m1_relset_1 (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 T_1) (u1_struct_0 T_0))) (m1_relset_1 T_2 (u1_struct_0 T_0) (u1_struct_0 T_1)) (v1_funct_2 T_2 (u1_struct_0 T_0) (u1_struct_0 T_1)) (v1_funct_1 T_2) (l1_orders_2 T_1) (v2_lattice3 T_1) (v1_lattice3 T_1) (v4_orders_2 T_1) (v3_orders_2 T_1) (v2_orders_2 T_1) (l1_orders_2 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 131
% 3.18/3.37 133. (All A, (All B, (All C, (((v2_orders_2 A) /\ ((v3_orders_2 A) /\ ((v4_orders_2 A) /\ ((v1_lattice3 A) /\ ((v2_lattice3 A) /\ ((l1_orders_2 A) /\ ((v2_orders_2 B) /\ ((v3_orders_2 B) /\ ((v4_orders_2 B) /\ ((v1_lattice3 B) /\ ((v2_lattice3 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 (k1_waybel34 A B C)) /\ ((v1_funct_2 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)) /\ (m2_relset_1 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)))))))) (v2_orders_2 T_0) (v3_orders_2 T_0) (v4_orders_2 T_0) (v1_lattice3 T_0) (v2_lattice3 T_0) (l1_orders_2 T_0) (v2_orders_2 T_1) (v3_orders_2 T_1) (v4_orders_2 T_1) (v1_lattice3 T_1) (v2_lattice3 T_1) (l1_orders_2 T_1) (v1_funct_1 T_2) (v1_funct_2 T_2 (u1_struct_0 T_0) (u1_struct_0 T_1)) (m1_relset_1 T_2 (u1_struct_0 T_0) (u1_struct_0 T_1)) (-. (m1_relset_1 (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 T_1) (u1_struct_0 T_0))) ### All 132
% 3.18/3.37 134. (-. (m2_relset_1 (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 T_1) (u1_struct_0 T_0))) (m1_relset_1 T_2 (u1_struct_0 T_0) (u1_struct_0 T_1)) (v1_funct_2 T_2 (u1_struct_0 T_0) (u1_struct_0 T_1)) (v1_funct_1 T_2) (l1_orders_2 T_1) (v2_lattice3 T_1) (v1_lattice3 T_1) (v4_orders_2 T_1) (v3_orders_2 T_1) (v2_orders_2 T_1) (l1_orders_2 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, (All B, (All C, (((v2_orders_2 A) /\ ((v3_orders_2 A) /\ ((v4_orders_2 A) /\ ((v1_lattice3 A) /\ ((v2_lattice3 A) /\ ((l1_orders_2 A) /\ ((v2_orders_2 B) /\ ((v3_orders_2 B) /\ ((v4_orders_2 B) /\ ((v1_lattice3 B) /\ ((v2_lattice3 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 (k1_waybel34 A B C)) /\ ((v1_funct_2 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)) /\ (m2_relset_1 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)))))))) ### Definition-Pseudo(m2_relset_1) 133
% 3.18/3.37 135. (v2_waybel_8 T_1) (-. (v2_waybel_8 T_1)) ### Axiom
% 3.18/3.37 136. (v2_orders_2 T_0) (-. (v2_orders_2 T_0)) ### Axiom
% 3.18/3.37 137. (v3_orders_2 T_0) (-. (v3_orders_2 T_0)) ### Axiom
% 3.18/3.37 138. (v4_orders_2 T_0) (-. (v4_orders_2 T_0)) ### Axiom
% 3.18/3.37 139. (v1_lattice3 T_0) (-. (v1_lattice3 T_0)) ### Axiom
% 3.18/3.37 140. (v2_lattice3 T_0) (-. (v2_lattice3 T_0)) ### Axiom
% 3.18/3.37 141. (v3_lattice3 T_0) (-. (v3_lattice3 T_0)) ### Axiom
% 3.18/3.37 142. (l1_orders_2 T_0) (-. (l1_orders_2 T_0)) ### Axiom
% 3.18/3.37 143. (v2_orders_2 T_1) (-. (v2_orders_2 T_1)) ### Axiom
% 3.18/3.37 144. (v3_orders_2 T_1) (-. (v3_orders_2 T_1)) ### Axiom
% 3.18/3.37 145. (v4_orders_2 T_1) (-. (v4_orders_2 T_1)) ### Axiom
% 3.18/3.37 146. (v1_lattice3 T_1) (-. (v1_lattice3 T_1)) ### Axiom
% 3.18/3.37 147. (v2_lattice3 T_1) (-. (v2_lattice3 T_1)) ### Axiom
% 3.18/3.37 148. (v3_lattice3 T_1) (-. (v3_lattice3 T_1)) ### Axiom
% 3.18/3.37 149. (l1_orders_2 T_1) (-. (l1_orders_2 T_1)) ### Axiom
% 3.18/3.37 150. ((v1_funct_1 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 (k1_waybel_8 T_1)))) /\ ((v1_funct_2 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 (k1_waybel_8 T_1))) (u1_struct_0 (k1_waybel_8 T_1)) (u1_struct_0 (k1_waybel_8 T_0))) /\ ((v4_waybel34 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 (k1_waybel_8 T_1))) (k1_waybel_8 T_1) (k1_waybel_8 T_0)) /\ (m2_relset_1 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 (k1_waybel_8 T_1))) (u1_struct_0 (k1_waybel_8 T_1)) (u1_struct_0 (k1_waybel_8 T_0)))))) (-. ((v1_funct_1 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 (k1_waybel_8 T_1)))) /\ ((v1_funct_2 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 (k1_waybel_8 T_1))) (u1_struct_0 (k1_waybel_8 T_1)) (u1_struct_0 (k1_waybel_8 T_0))) /\ ((v4_waybel34 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 (k1_waybel_8 T_1))) (k1_waybel_8 T_1) (k1_waybel_8 T_0)) /\ (m2_relset_1 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 (k1_waybel_8 T_1))) (u1_struct_0 (k1_waybel_8 T_1)) (u1_struct_0 (k1_waybel_8 T_0))))))) ### Axiom
% 3.18/3.40 151. (-. (v3_waybel34 (k1_waybel34 T_0 T_1 T_2) T_1 T_0)) (v3_waybel34 (k1_waybel34 T_0 T_1 T_2) T_1 T_0) ### Axiom
% 3.18/3.40 152. ((v3_waybel34 (k1_waybel34 T_0 T_1 T_2) T_1 T_0) <=> ((v1_funct_1 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 (k1_waybel_8 T_1)))) /\ ((v1_funct_2 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 (k1_waybel_8 T_1))) (u1_struct_0 (k1_waybel_8 T_1)) (u1_struct_0 (k1_waybel_8 T_0))) /\ ((v4_waybel34 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 (k1_waybel_8 T_1))) (k1_waybel_8 T_1) (k1_waybel_8 T_0)) /\ (m2_relset_1 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 (k1_waybel_8 T_1))) (u1_struct_0 (k1_waybel_8 T_1)) (u1_struct_0 (k1_waybel_8 T_0))))))) (-. (v3_waybel34 (k1_waybel34 T_0 T_1 T_2) T_1 T_0)) ((v1_funct_1 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 (k1_waybel_8 T_1)))) /\ ((v1_funct_2 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 (k1_waybel_8 T_1))) (u1_struct_0 (k1_waybel_8 T_1)) (u1_struct_0 (k1_waybel_8 T_0))) /\ ((v4_waybel34 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 (k1_waybel_8 T_1))) (k1_waybel_8 T_1) (k1_waybel_8 T_0)) /\ (m2_relset_1 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 (k1_waybel_8 T_1))) (u1_struct_0 (k1_waybel_8 T_1)) (u1_struct_0 (k1_waybel_8 T_0)))))) ### Equiv 150 151
% 3.18/3.40 153. (((v1_funct_1 (k1_waybel34 T_0 T_1 T_2)) /\ ((v1_funct_2 (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 T_1) (u1_struct_0 T_0)) /\ ((v18_waybel_0 (k1_waybel34 T_0 T_1 T_2) T_1 T_0) /\ (m2_relset_1 (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 T_1) (u1_struct_0 T_0))))) => ((v3_waybel34 (k1_waybel34 T_0 T_1 T_2) T_1 T_0) <=> ((v1_funct_1 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 (k1_waybel_8 T_1)))) /\ ((v1_funct_2 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 (k1_waybel_8 T_1))) (u1_struct_0 (k1_waybel_8 T_1)) (u1_struct_0 (k1_waybel_8 T_0))) /\ ((v4_waybel34 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 (k1_waybel_8 T_1))) (k1_waybel_8 T_1) (k1_waybel_8 T_0)) /\ (m2_relset_1 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 (k1_waybel_8 T_1))) (u1_struct_0 (k1_waybel_8 T_1)) (u1_struct_0 (k1_waybel_8 T_0)))))))) ((v1_funct_1 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 (k1_waybel_8 T_1)))) /\ ((v1_funct_2 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 (k1_waybel_8 T_1))) (u1_struct_0 (k1_waybel_8 T_1)) (u1_struct_0 (k1_waybel_8 T_0))) /\ ((v4_waybel34 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 (k1_waybel_8 T_1))) (k1_waybel_8 T_1) (k1_waybel_8 T_0)) /\ (m2_relset_1 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 (k1_waybel_8 T_1))) (u1_struct_0 (k1_waybel_8 T_1)) (u1_struct_0 (k1_waybel_8 T_0)))))) (-. (v3_waybel34 (k1_waybel34 T_0 T_1 T_2) T_1 T_0)) (v17_waybel_0 T_2 T_0 T_1) (v3_lattice3 T_1) (v3_lattice3 T_0) (All A, (All B, (All C, (((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) /\ ((v2_orders_2 B) /\ ((v3_orders_2 B) /\ ((v4_orders_2 B) /\ ((v1_lattice3 B) /\ ((v2_lattice3 B) /\ ((v3_lattice3 B) /\ ((l1_orders_2 B) /\ ((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 A) (u1_struct_0 B)) /\ ((v17_waybel_0 C A B) /\ (m1_relset_1 C (u1_struct_0 A) (u1_struct_0 B))))))))))))))))))) => ((v1_relat_1 (k1_waybel34 A B C)) /\ ((v1_funct_1 (k1_waybel34 A B C)) /\ ((-. (v1_xboole_0 (k1_waybel34 A B C))) /\ ((v1_funct_2 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)) /\ ((v1_partfun1 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)) /\ ((v18_waybel_0 (k1_waybel34 A B C) B A) /\ ((v20_waybel_0 (k1_waybel34 A B C) B A) /\ ((v22_waybel_0 (k1_waybel34 A B C) B A) /\ ((v5_waybel_1 (k1_waybel34 A B C) A B) /\ (v5_orders_3 (k1_waybel34 A B C) B A)))))))))))))) (m1_relset_1 T_2 (u1_struct_0 T_0) (u1_struct_0 T_1)) (v1_funct_2 T_2 (u1_struct_0 T_0) (u1_struct_0 T_1)) (v1_funct_1 T_2) (l1_orders_2 T_1) (v2_lattice3 T_1) (v1_lattice3 T_1) (v4_orders_2 T_1) (v3_orders_2 T_1) (v2_orders_2 T_1) (l1_orders_2 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, (All B, (All C, (((v2_orders_2 A) /\ ((v3_orders_2 A) /\ ((v4_orders_2 A) /\ ((v1_lattice3 A) /\ ((v2_lattice3 A) /\ ((l1_orders_2 A) /\ ((v2_orders_2 B) /\ ((v3_orders_2 B) /\ ((v4_orders_2 B) /\ ((v1_lattice3 B) /\ ((v2_lattice3 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 (k1_waybel34 A B C)) /\ ((v1_funct_2 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)) /\ (m2_relset_1 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)))))))) ### DisjTree 66 87 111 134 152
% 3.18/3.40 154. (All C, (((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 T_1) (u1_struct_0 T_0)) /\ ((v18_waybel_0 C T_1 T_0) /\ (m2_relset_1 C (u1_struct_0 T_1) (u1_struct_0 T_0))))) => ((v3_waybel34 C T_1 T_0) <=> ((v1_funct_1 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) C (u1_struct_0 (k1_waybel_8 T_1)))) /\ ((v1_funct_2 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) C (u1_struct_0 (k1_waybel_8 T_1))) (u1_struct_0 (k1_waybel_8 T_1)) (u1_struct_0 (k1_waybel_8 T_0))) /\ ((v4_waybel34 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) C (u1_struct_0 (k1_waybel_8 T_1))) (k1_waybel_8 T_1) (k1_waybel_8 T_0)) /\ (m2_relset_1 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) C (u1_struct_0 (k1_waybel_8 T_1))) (u1_struct_0 (k1_waybel_8 T_1)) (u1_struct_0 (k1_waybel_8 T_0))))))))) (All A, (All B, (All C, (((v2_orders_2 A) /\ ((v3_orders_2 A) /\ ((v4_orders_2 A) /\ ((v1_lattice3 A) /\ ((v2_lattice3 A) /\ ((l1_orders_2 A) /\ ((v2_orders_2 B) /\ ((v3_orders_2 B) /\ ((v4_orders_2 B) /\ ((v1_lattice3 B) /\ ((v2_lattice3 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 (k1_waybel34 A B C)) /\ ((v1_funct_2 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)) /\ (m2_relset_1 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)))))))) (v2_orders_2 T_0) (v3_orders_2 T_0) (v4_orders_2 T_0) (v1_lattice3 T_0) (v2_lattice3 T_0) (l1_orders_2 T_0) (v2_orders_2 T_1) (v3_orders_2 T_1) (v4_orders_2 T_1) (v1_lattice3 T_1) (v2_lattice3 T_1) (l1_orders_2 T_1) (v1_funct_1 T_2) (v1_funct_2 T_2 (u1_struct_0 T_0) (u1_struct_0 T_1)) (m1_relset_1 T_2 (u1_struct_0 T_0) (u1_struct_0 T_1)) (All A, (All B, (All C, (((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) /\ ((v2_orders_2 B) /\ ((v3_orders_2 B) /\ ((v4_orders_2 B) /\ ((v1_lattice3 B) /\ ((v2_lattice3 B) /\ ((v3_lattice3 B) /\ ((l1_orders_2 B) /\ ((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 A) (u1_struct_0 B)) /\ ((v17_waybel_0 C A B) /\ (m1_relset_1 C (u1_struct_0 A) (u1_struct_0 B))))))))))))))))))) => ((v1_relat_1 (k1_waybel34 A B C)) /\ ((v1_funct_1 (k1_waybel34 A B C)) /\ ((-. (v1_xboole_0 (k1_waybel34 A B C))) /\ ((v1_funct_2 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)) /\ ((v1_partfun1 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)) /\ ((v18_waybel_0 (k1_waybel34 A B C) B A) /\ ((v20_waybel_0 (k1_waybel34 A B C) B A) /\ ((v22_waybel_0 (k1_waybel34 A B C) B A) /\ ((v5_waybel_1 (k1_waybel34 A B C) A B) /\ (v5_orders_3 (k1_waybel34 A B C) B A)))))))))))))) (v3_lattice3 T_0) (v3_lattice3 T_1) (v17_waybel_0 T_2 T_0 T_1) (-. (v3_waybel34 (k1_waybel34 T_0 T_1 T_2) T_1 T_0)) ((v1_funct_1 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 (k1_waybel_8 T_1)))) /\ ((v1_funct_2 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 (k1_waybel_8 T_1))) (u1_struct_0 (k1_waybel_8 T_1)) (u1_struct_0 (k1_waybel_8 T_0))) /\ ((v4_waybel34 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 (k1_waybel_8 T_1))) (k1_waybel_8 T_1) (k1_waybel_8 T_0)) /\ (m2_relset_1 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 (k1_waybel_8 T_1))) (u1_struct_0 (k1_waybel_8 T_1)) (u1_struct_0 (k1_waybel_8 T_0)))))) ### All 153
% 3.25/3.44 155. (((v2_orders_2 T_1) /\ ((v3_orders_2 T_1) /\ ((v4_orders_2 T_1) /\ ((v1_lattice3 T_1) /\ ((v2_lattice3 T_1) /\ ((v3_lattice3 T_1) /\ (l1_orders_2 T_1))))))) => (All C, (((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 T_1) (u1_struct_0 T_0)) /\ ((v18_waybel_0 C T_1 T_0) /\ (m2_relset_1 C (u1_struct_0 T_1) (u1_struct_0 T_0))))) => ((v3_waybel34 C T_1 T_0) <=> ((v1_funct_1 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) C (u1_struct_0 (k1_waybel_8 T_1)))) /\ ((v1_funct_2 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) C (u1_struct_0 (k1_waybel_8 T_1))) (u1_struct_0 (k1_waybel_8 T_1)) (u1_struct_0 (k1_waybel_8 T_0))) /\ ((v4_waybel34 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) C (u1_struct_0 (k1_waybel_8 T_1))) (k1_waybel_8 T_1) (k1_waybel_8 T_0)) /\ (m2_relset_1 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) C (u1_struct_0 (k1_waybel_8 T_1))) (u1_struct_0 (k1_waybel_8 T_1)) (u1_struct_0 (k1_waybel_8 T_0)))))))))) ((v1_funct_1 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 (k1_waybel_8 T_1)))) /\ ((v1_funct_2 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 (k1_waybel_8 T_1))) (u1_struct_0 (k1_waybel_8 T_1)) (u1_struct_0 (k1_waybel_8 T_0))) /\ ((v4_waybel34 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 (k1_waybel_8 T_1))) (k1_waybel_8 T_1) (k1_waybel_8 T_0)) /\ (m2_relset_1 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 (k1_waybel_8 T_1))) (u1_struct_0 (k1_waybel_8 T_1)) (u1_struct_0 (k1_waybel_8 T_0)))))) (-. (v3_waybel34 (k1_waybel34 T_0 T_1 T_2) T_1 T_0)) (v17_waybel_0 T_2 T_0 T_1) (v3_lattice3 T_0) (All A, (All B, (All C, (((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) /\ ((v2_orders_2 B) /\ ((v3_orders_2 B) /\ ((v4_orders_2 B) /\ ((v1_lattice3 B) /\ ((v2_lattice3 B) /\ ((v3_lattice3 B) /\ ((l1_orders_2 B) /\ ((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 A) (u1_struct_0 B)) /\ ((v17_waybel_0 C A B) /\ (m1_relset_1 C (u1_struct_0 A) (u1_struct_0 B))))))))))))))))))) => ((v1_relat_1 (k1_waybel34 A B C)) /\ ((v1_funct_1 (k1_waybel34 A B C)) /\ ((-. (v1_xboole_0 (k1_waybel34 A B C))) /\ ((v1_funct_2 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)) /\ ((v1_partfun1 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)) /\ ((v18_waybel_0 (k1_waybel34 A B C) B A) /\ ((v20_waybel_0 (k1_waybel34 A B C) B A) /\ ((v22_waybel_0 (k1_waybel34 A B C) B A) /\ ((v5_waybel_1 (k1_waybel34 A B C) A B) /\ (v5_orders_3 (k1_waybel34 A B C) B A)))))))))))))) (m1_relset_1 T_2 (u1_struct_0 T_0) (u1_struct_0 T_1)) (v1_funct_2 T_2 (u1_struct_0 T_0) (u1_struct_0 T_1)) (v1_funct_1 T_2) (l1_orders_2 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, (All B, (All C, (((v2_orders_2 A) /\ ((v3_orders_2 A) /\ ((v4_orders_2 A) /\ ((v1_lattice3 A) /\ ((v2_lattice3 A) /\ ((l1_orders_2 A) /\ ((v2_orders_2 B) /\ ((v3_orders_2 B) /\ ((v4_orders_2 B) /\ ((v1_lattice3 B) /\ ((v2_lattice3 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 (k1_waybel34 A B C)) /\ ((v1_funct_2 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)) /\ (m2_relset_1 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)))))))) (l1_orders_2 T_1) (v3_lattice3 T_1) (v2_lattice3 T_1) (v1_lattice3 T_1) (v4_orders_2 T_1) (v3_orders_2 T_1) (v2_orders_2 T_1) ### DisjTree 143 144 145 146 147 148 149 154
% 3.25/3.44 156. (All B, (((v2_orders_2 B) /\ ((v3_orders_2 B) /\ ((v4_orders_2 B) /\ ((v1_lattice3 B) /\ ((v2_lattice3 B) /\ ((v3_lattice3 B) /\ (l1_orders_2 B))))))) => (All C, (((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 B) (u1_struct_0 T_0)) /\ ((v18_waybel_0 C B T_0) /\ (m2_relset_1 C (u1_struct_0 B) (u1_struct_0 T_0))))) => ((v3_waybel34 C B T_0) <=> ((v1_funct_1 (k8_relset_1 (u1_struct_0 B) (u1_struct_0 T_0) C (u1_struct_0 (k1_waybel_8 B)))) /\ ((v1_funct_2 (k8_relset_1 (u1_struct_0 B) (u1_struct_0 T_0) C (u1_struct_0 (k1_waybel_8 B))) (u1_struct_0 (k1_waybel_8 B)) (u1_struct_0 (k1_waybel_8 T_0))) /\ ((v4_waybel34 (k8_relset_1 (u1_struct_0 B) (u1_struct_0 T_0) C (u1_struct_0 (k1_waybel_8 B))) (k1_waybel_8 B) (k1_waybel_8 T_0)) /\ (m2_relset_1 (k8_relset_1 (u1_struct_0 B) (u1_struct_0 T_0) C (u1_struct_0 (k1_waybel_8 B))) (u1_struct_0 (k1_waybel_8 B)) (u1_struct_0 (k1_waybel_8 T_0))))))))))) (v2_orders_2 T_1) (v3_orders_2 T_1) (v4_orders_2 T_1) (v1_lattice3 T_1) (v2_lattice3 T_1) (v3_lattice3 T_1) (l1_orders_2 T_1) (All A, (All B, (All C, (((v2_orders_2 A) /\ ((v3_orders_2 A) /\ ((v4_orders_2 A) /\ ((v1_lattice3 A) /\ ((v2_lattice3 A) /\ ((l1_orders_2 A) /\ ((v2_orders_2 B) /\ ((v3_orders_2 B) /\ ((v4_orders_2 B) /\ ((v1_lattice3 B) /\ ((v2_lattice3 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 (k1_waybel34 A B C)) /\ ((v1_funct_2 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)) /\ (m2_relset_1 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)))))))) (v2_orders_2 T_0) (v3_orders_2 T_0) (v4_orders_2 T_0) (v1_lattice3 T_0) (v2_lattice3 T_0) (l1_orders_2 T_0) (v1_funct_1 T_2) (v1_funct_2 T_2 (u1_struct_0 T_0) (u1_struct_0 T_1)) (m1_relset_1 T_2 (u1_struct_0 T_0) (u1_struct_0 T_1)) (All A, (All B, (All C, (((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) /\ ((v2_orders_2 B) /\ ((v3_orders_2 B) /\ ((v4_orders_2 B) /\ ((v1_lattice3 B) /\ ((v2_lattice3 B) /\ ((v3_lattice3 B) /\ ((l1_orders_2 B) /\ ((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 A) (u1_struct_0 B)) /\ ((v17_waybel_0 C A B) /\ (m1_relset_1 C (u1_struct_0 A) (u1_struct_0 B))))))))))))))))))) => ((v1_relat_1 (k1_waybel34 A B C)) /\ ((v1_funct_1 (k1_waybel34 A B C)) /\ ((-. (v1_xboole_0 (k1_waybel34 A B C))) /\ ((v1_funct_2 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)) /\ ((v1_partfun1 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)) /\ ((v18_waybel_0 (k1_waybel34 A B C) B A) /\ ((v20_waybel_0 (k1_waybel34 A B C) B A) /\ ((v22_waybel_0 (k1_waybel34 A B C) B A) /\ ((v5_waybel_1 (k1_waybel34 A B C) A B) /\ (v5_orders_3 (k1_waybel34 A B C) B A)))))))))))))) (v3_lattice3 T_0) (v17_waybel_0 T_2 T_0 T_1) (-. (v3_waybel34 (k1_waybel34 T_0 T_1 T_2) T_1 T_0)) ((v1_funct_1 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 (k1_waybel_8 T_1)))) /\ ((v1_funct_2 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 (k1_waybel_8 T_1))) (u1_struct_0 (k1_waybel_8 T_1)) (u1_struct_0 (k1_waybel_8 T_0))) /\ ((v4_waybel34 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 (k1_waybel_8 T_1))) (k1_waybel_8 T_1) (k1_waybel_8 T_0)) /\ (m2_relset_1 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 (k1_waybel_8 T_1))) (u1_struct_0 (k1_waybel_8 T_1)) (u1_struct_0 (k1_waybel_8 T_0)))))) ### All 155
% 3.25/3.44 157. (((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, (((v2_orders_2 B) /\ ((v3_orders_2 B) /\ ((v4_orders_2 B) /\ ((v1_lattice3 B) /\ ((v2_lattice3 B) /\ ((v3_lattice3 B) /\ (l1_orders_2 B))))))) => (All C, (((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 B) (u1_struct_0 T_0)) /\ ((v18_waybel_0 C B T_0) /\ (m2_relset_1 C (u1_struct_0 B) (u1_struct_0 T_0))))) => ((v3_waybel34 C B T_0) <=> ((v1_funct_1 (k8_relset_1 (u1_struct_0 B) (u1_struct_0 T_0) C (u1_struct_0 (k1_waybel_8 B)))) /\ ((v1_funct_2 (k8_relset_1 (u1_struct_0 B) (u1_struct_0 T_0) C (u1_struct_0 (k1_waybel_8 B))) (u1_struct_0 (k1_waybel_8 B)) (u1_struct_0 (k1_waybel_8 T_0))) /\ ((v4_waybel34 (k8_relset_1 (u1_struct_0 B) (u1_struct_0 T_0) C (u1_struct_0 (k1_waybel_8 B))) (k1_waybel_8 B) (k1_waybel_8 T_0)) /\ (m2_relset_1 (k8_relset_1 (u1_struct_0 B) (u1_struct_0 T_0) C (u1_struct_0 (k1_waybel_8 B))) (u1_struct_0 (k1_waybel_8 B)) (u1_struct_0 (k1_waybel_8 T_0)))))))))))) ((v1_funct_1 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 (k1_waybel_8 T_1)))) /\ ((v1_funct_2 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 (k1_waybel_8 T_1))) (u1_struct_0 (k1_waybel_8 T_1)) (u1_struct_0 (k1_waybel_8 T_0))) /\ ((v4_waybel34 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 (k1_waybel_8 T_1))) (k1_waybel_8 T_1) (k1_waybel_8 T_0)) /\ (m2_relset_1 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 (k1_waybel_8 T_1))) (u1_struct_0 (k1_waybel_8 T_1)) (u1_struct_0 (k1_waybel_8 T_0)))))) (-. (v3_waybel34 (k1_waybel34 T_0 T_1 T_2) T_1 T_0)) (v17_waybel_0 T_2 T_0 T_1) (All A, (All B, (All C, (((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) /\ ((v2_orders_2 B) /\ ((v3_orders_2 B) /\ ((v4_orders_2 B) /\ ((v1_lattice3 B) /\ ((v2_lattice3 B) /\ ((v3_lattice3 B) /\ ((l1_orders_2 B) /\ ((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 A) (u1_struct_0 B)) /\ ((v17_waybel_0 C A B) /\ (m1_relset_1 C (u1_struct_0 A) (u1_struct_0 B))))))))))))))))))) => ((v1_relat_1 (k1_waybel34 A B C)) /\ ((v1_funct_1 (k1_waybel34 A B C)) /\ ((-. (v1_xboole_0 (k1_waybel34 A B C))) /\ ((v1_funct_2 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)) /\ ((v1_partfun1 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)) /\ ((v18_waybel_0 (k1_waybel34 A B C) B A) /\ ((v20_waybel_0 (k1_waybel34 A B C) B A) /\ ((v22_waybel_0 (k1_waybel34 A B C) B A) /\ ((v5_waybel_1 (k1_waybel34 A B C) A B) /\ (v5_orders_3 (k1_waybel34 A B C) B A)))))))))))))) (m1_relset_1 T_2 (u1_struct_0 T_0) (u1_struct_0 T_1)) (v1_funct_2 T_2 (u1_struct_0 T_0) (u1_struct_0 T_1)) (v1_funct_1 T_2) (All A, (All B, (All C, (((v2_orders_2 A) /\ ((v3_orders_2 A) /\ ((v4_orders_2 A) /\ ((v1_lattice3 A) /\ ((v2_lattice3 A) /\ ((l1_orders_2 A) /\ ((v2_orders_2 B) /\ ((v3_orders_2 B) /\ ((v4_orders_2 B) /\ ((v1_lattice3 B) /\ ((v2_lattice3 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 (k1_waybel34 A B C)) /\ ((v1_funct_2 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)) /\ (m2_relset_1 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)))))))) (l1_orders_2 T_1) (v3_lattice3 T_1) (v2_lattice3 T_1) (v1_lattice3 T_1) (v4_orders_2 T_1) (v3_orders_2 T_1) (v2_orders_2 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 136 137 138 139 140 141 142 156
% 3.25/3.45 158. (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) /\ (l1_orders_2 B))))))) => (All C, (((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 B) (u1_struct_0 A)) /\ ((v18_waybel_0 C B A) /\ (m2_relset_1 C (u1_struct_0 B) (u1_struct_0 A))))) => ((v3_waybel34 C B A) <=> ((v1_funct_1 (k8_relset_1 (u1_struct_0 B) (u1_struct_0 A) C (u1_struct_0 (k1_waybel_8 B)))) /\ ((v1_funct_2 (k8_relset_1 (u1_struct_0 B) (u1_struct_0 A) C (u1_struct_0 (k1_waybel_8 B))) (u1_struct_0 (k1_waybel_8 B)) (u1_struct_0 (k1_waybel_8 A))) /\ ((v4_waybel34 (k8_relset_1 (u1_struct_0 B) (u1_struct_0 A) C (u1_struct_0 (k1_waybel_8 B))) (k1_waybel_8 B) (k1_waybel_8 A)) /\ (m2_relset_1 (k8_relset_1 (u1_struct_0 B) (u1_struct_0 A) C (u1_struct_0 (k1_waybel_8 B))) (u1_struct_0 (k1_waybel_8 B)) (u1_struct_0 (k1_waybel_8 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) (v2_orders_2 T_1) (v3_orders_2 T_1) (v4_orders_2 T_1) (v1_lattice3 T_1) (v2_lattice3 T_1) (v3_lattice3 T_1) (l1_orders_2 T_1) (All A, (All B, (All C, (((v2_orders_2 A) /\ ((v3_orders_2 A) /\ ((v4_orders_2 A) /\ ((v1_lattice3 A) /\ ((v2_lattice3 A) /\ ((l1_orders_2 A) /\ ((v2_orders_2 B) /\ ((v3_orders_2 B) /\ ((v4_orders_2 B) /\ ((v1_lattice3 B) /\ ((v2_lattice3 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 (k1_waybel34 A B C)) /\ ((v1_funct_2 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)) /\ (m2_relset_1 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)))))))) (v1_funct_1 T_2) (v1_funct_2 T_2 (u1_struct_0 T_0) (u1_struct_0 T_1)) (m1_relset_1 T_2 (u1_struct_0 T_0) (u1_struct_0 T_1)) (All A, (All B, (All C, (((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) /\ ((v2_orders_2 B) /\ ((v3_orders_2 B) /\ ((v4_orders_2 B) /\ ((v1_lattice3 B) /\ ((v2_lattice3 B) /\ ((v3_lattice3 B) /\ ((l1_orders_2 B) /\ ((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 A) (u1_struct_0 B)) /\ ((v17_waybel_0 C A B) /\ (m1_relset_1 C (u1_struct_0 A) (u1_struct_0 B))))))))))))))))))) => ((v1_relat_1 (k1_waybel34 A B C)) /\ ((v1_funct_1 (k1_waybel34 A B C)) /\ ((-. (v1_xboole_0 (k1_waybel34 A B C))) /\ ((v1_funct_2 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)) /\ ((v1_partfun1 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)) /\ ((v18_waybel_0 (k1_waybel34 A B C) B A) /\ ((v20_waybel_0 (k1_waybel34 A B C) B A) /\ ((v22_waybel_0 (k1_waybel34 A B C) B A) /\ ((v5_waybel_1 (k1_waybel34 A B C) A B) /\ (v5_orders_3 (k1_waybel34 A B C) B A)))))))))))))) (v17_waybel_0 T_2 T_0 T_1) (-. (v3_waybel34 (k1_waybel34 T_0 T_1 T_2) T_1 T_0)) ((v1_funct_1 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 (k1_waybel_8 T_1)))) /\ ((v1_funct_2 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 (k1_waybel_8 T_1))) (u1_struct_0 (k1_waybel_8 T_1)) (u1_struct_0 (k1_waybel_8 T_0))) /\ ((v4_waybel34 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 (k1_waybel_8 T_1))) (k1_waybel_8 T_1) (k1_waybel_8 T_0)) /\ (m2_relset_1 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 (k1_waybel_8 T_1))) (u1_struct_0 (k1_waybel_8 T_1)) (u1_struct_0 (k1_waybel_8 T_0)))))) ### All 157
% 3.25/3.45 159. (-. (v1_waybel34 (k1_waybel34 T_0 T_1 T_2) T_1 T_0)) (v1_waybel34 (k1_waybel34 T_0 T_1 T_2) T_1 T_0) ### Axiom
% 3.25/3.45 160. (((v1_funct_1 (k1_waybel34 T_0 T_1 T_2)) /\ ((v1_funct_2 (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 T_1) (u1_struct_0 T_0)) /\ ((v18_waybel_0 (k1_waybel34 T_0 T_1 T_2) T_1 T_0) /\ (m2_relset_1 (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 T_1) (u1_struct_0 T_0))))) => (((v2_waybel_8 T_1) /\ (v3_waybel34 (k1_waybel34 T_0 T_1 T_2) T_1 T_0)) => (v1_waybel34 (k1_waybel34 T_0 T_1 T_2) T_1 T_0))) (-. (v1_waybel34 (k1_waybel34 T_0 T_1 T_2) T_1 T_0)) ((v1_funct_1 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 (k1_waybel_8 T_1)))) /\ ((v1_funct_2 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 (k1_waybel_8 T_1))) (u1_struct_0 (k1_waybel_8 T_1)) (u1_struct_0 (k1_waybel_8 T_0))) /\ ((v4_waybel34 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 (k1_waybel_8 T_1))) (k1_waybel_8 T_1) (k1_waybel_8 T_0)) /\ (m2_relset_1 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 (k1_waybel_8 T_1))) (u1_struct_0 (k1_waybel_8 T_1)) (u1_struct_0 (k1_waybel_8 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) /\ (l1_orders_2 B))))))) => (All C, (((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 B) (u1_struct_0 A)) /\ ((v18_waybel_0 C B A) /\ (m2_relset_1 C (u1_struct_0 B) (u1_struct_0 A))))) => ((v3_waybel34 C B A) <=> ((v1_funct_1 (k8_relset_1 (u1_struct_0 B) (u1_struct_0 A) C (u1_struct_0 (k1_waybel_8 B)))) /\ ((v1_funct_2 (k8_relset_1 (u1_struct_0 B) (u1_struct_0 A) C (u1_struct_0 (k1_waybel_8 B))) (u1_struct_0 (k1_waybel_8 B)) (u1_struct_0 (k1_waybel_8 A))) /\ ((v4_waybel34 (k8_relset_1 (u1_struct_0 B) (u1_struct_0 A) C (u1_struct_0 (k1_waybel_8 B))) (k1_waybel_8 B) (k1_waybel_8 A)) /\ (m2_relset_1 (k8_relset_1 (u1_struct_0 B) (u1_struct_0 A) C (u1_struct_0 (k1_waybel_8 B))) (u1_struct_0 (k1_waybel_8 B)) (u1_struct_0 (k1_waybel_8 A))))))))))))) (v2_waybel_8 T_1) (v17_waybel_0 T_2 T_0 T_1) (v3_lattice3 T_1) (v3_lattice3 T_0) (All A, (All B, (All C, (((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) /\ ((v2_orders_2 B) /\ ((v3_orders_2 B) /\ ((v4_orders_2 B) /\ ((v1_lattice3 B) /\ ((v2_lattice3 B) /\ ((v3_lattice3 B) /\ ((l1_orders_2 B) /\ ((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 A) (u1_struct_0 B)) /\ ((v17_waybel_0 C A B) /\ (m1_relset_1 C (u1_struct_0 A) (u1_struct_0 B))))))))))))))))))) => ((v1_relat_1 (k1_waybel34 A B C)) /\ ((v1_funct_1 (k1_waybel34 A B C)) /\ ((-. (v1_xboole_0 (k1_waybel34 A B C))) /\ ((v1_funct_2 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)) /\ ((v1_partfun1 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)) /\ ((v18_waybel_0 (k1_waybel34 A B C) B A) /\ ((v20_waybel_0 (k1_waybel34 A B C) B A) /\ ((v22_waybel_0 (k1_waybel34 A B C) B A) /\ ((v5_waybel_1 (k1_waybel34 A B C) A B) /\ (v5_orders_3 (k1_waybel34 A B C) B A)))))))))))))) (m1_relset_1 T_2 (u1_struct_0 T_0) (u1_struct_0 T_1)) (v1_funct_2 T_2 (u1_struct_0 T_0) (u1_struct_0 T_1)) (v1_funct_1 T_2) (l1_orders_2 T_1) (v2_lattice3 T_1) (v1_lattice3 T_1) (v4_orders_2 T_1) (v3_orders_2 T_1) (v2_orders_2 T_1) (l1_orders_2 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, (All B, (All C, (((v2_orders_2 A) /\ ((v3_orders_2 A) /\ ((v4_orders_2 A) /\ ((v1_lattice3 A) /\ ((v2_lattice3 A) /\ ((l1_orders_2 A) /\ ((v2_orders_2 B) /\ ((v3_orders_2 B) /\ ((v4_orders_2 B) /\ ((v1_lattice3 B) /\ ((v2_lattice3 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 (k1_waybel34 A B C)) /\ ((v1_funct_2 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)) /\ (m2_relset_1 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)))))))) ### DisjTree 66 87 111 134 135 158 159
% 3.25/3.45 161. (All C, (((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 T_1) (u1_struct_0 T_0)) /\ ((v18_waybel_0 C T_1 T_0) /\ (m2_relset_1 C (u1_struct_0 T_1) (u1_struct_0 T_0))))) => (((v2_waybel_8 T_1) /\ (v3_waybel34 C T_1 T_0)) => (v1_waybel34 C T_1 T_0)))) (All A, (All B, (All C, (((v2_orders_2 A) /\ ((v3_orders_2 A) /\ ((v4_orders_2 A) /\ ((v1_lattice3 A) /\ ((v2_lattice3 A) /\ ((l1_orders_2 A) /\ ((v2_orders_2 B) /\ ((v3_orders_2 B) /\ ((v4_orders_2 B) /\ ((v1_lattice3 B) /\ ((v2_lattice3 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 (k1_waybel34 A B C)) /\ ((v1_funct_2 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)) /\ (m2_relset_1 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)))))))) (v2_orders_2 T_0) (v3_orders_2 T_0) (v4_orders_2 T_0) (v1_lattice3 T_0) (v2_lattice3 T_0) (l1_orders_2 T_0) (v2_orders_2 T_1) (v3_orders_2 T_1) (v4_orders_2 T_1) (v1_lattice3 T_1) (v2_lattice3 T_1) (l1_orders_2 T_1) (v1_funct_1 T_2) (v1_funct_2 T_2 (u1_struct_0 T_0) (u1_struct_0 T_1)) (m1_relset_1 T_2 (u1_struct_0 T_0) (u1_struct_0 T_1)) (All A, (All B, (All C, (((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) /\ ((v2_orders_2 B) /\ ((v3_orders_2 B) /\ ((v4_orders_2 B) /\ ((v1_lattice3 B) /\ ((v2_lattice3 B) /\ ((v3_lattice3 B) /\ ((l1_orders_2 B) /\ ((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 A) (u1_struct_0 B)) /\ ((v17_waybel_0 C A B) /\ (m1_relset_1 C (u1_struct_0 A) (u1_struct_0 B))))))))))))))))))) => ((v1_relat_1 (k1_waybel34 A B C)) /\ ((v1_funct_1 (k1_waybel34 A B C)) /\ ((-. (v1_xboole_0 (k1_waybel34 A B C))) /\ ((v1_funct_2 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)) /\ ((v1_partfun1 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)) /\ ((v18_waybel_0 (k1_waybel34 A B C) B A) /\ ((v20_waybel_0 (k1_waybel34 A B C) B A) /\ ((v22_waybel_0 (k1_waybel34 A B C) B A) /\ ((v5_waybel_1 (k1_waybel34 A B C) A B) /\ (v5_orders_3 (k1_waybel34 A B C) B A)))))))))))))) (v3_lattice3 T_0) (v3_lattice3 T_1) (v17_waybel_0 T_2 T_0 T_1) (v2_waybel_8 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) /\ (l1_orders_2 B))))))) => (All C, (((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 B) (u1_struct_0 A)) /\ ((v18_waybel_0 C B A) /\ (m2_relset_1 C (u1_struct_0 B) (u1_struct_0 A))))) => ((v3_waybel34 C B A) <=> ((v1_funct_1 (k8_relset_1 (u1_struct_0 B) (u1_struct_0 A) C (u1_struct_0 (k1_waybel_8 B)))) /\ ((v1_funct_2 (k8_relset_1 (u1_struct_0 B) (u1_struct_0 A) C (u1_struct_0 (k1_waybel_8 B))) (u1_struct_0 (k1_waybel_8 B)) (u1_struct_0 (k1_waybel_8 A))) /\ ((v4_waybel34 (k8_relset_1 (u1_struct_0 B) (u1_struct_0 A) C (u1_struct_0 (k1_waybel_8 B))) (k1_waybel_8 B) (k1_waybel_8 A)) /\ (m2_relset_1 (k8_relset_1 (u1_struct_0 B) (u1_struct_0 A) C (u1_struct_0 (k1_waybel_8 B))) (u1_struct_0 (k1_waybel_8 B)) (u1_struct_0 (k1_waybel_8 A))))))))))))) ((v1_funct_1 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 (k1_waybel_8 T_1)))) /\ ((v1_funct_2 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 (k1_waybel_8 T_1))) (u1_struct_0 (k1_waybel_8 T_1)) (u1_struct_0 (k1_waybel_8 T_0))) /\ ((v4_waybel34 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 (k1_waybel_8 T_1))) (k1_waybel_8 T_1) (k1_waybel_8 T_0)) /\ (m2_relset_1 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 (k1_waybel_8 T_1))) (u1_struct_0 (k1_waybel_8 T_1)) (u1_struct_0 (k1_waybel_8 T_0)))))) (-. (v1_waybel34 (k1_waybel34 T_0 T_1 T_2) T_1 T_0)) ### All 160
% 3.25/3.45 162. (((v2_orders_2 T_1) /\ ((v3_orders_2 T_1) /\ ((v4_orders_2 T_1) /\ ((v1_lattice3 T_1) /\ ((v2_lattice3 T_1) /\ ((v3_lattice3 T_1) /\ (l1_orders_2 T_1))))))) => (All C, (((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 T_1) (u1_struct_0 T_0)) /\ ((v18_waybel_0 C T_1 T_0) /\ (m2_relset_1 C (u1_struct_0 T_1) (u1_struct_0 T_0))))) => (((v2_waybel_8 T_1) /\ (v3_waybel34 C T_1 T_0)) => (v1_waybel34 C T_1 T_0))))) (-. (v1_waybel34 (k1_waybel34 T_0 T_1 T_2) T_1 T_0)) ((v1_funct_1 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 (k1_waybel_8 T_1)))) /\ ((v1_funct_2 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 (k1_waybel_8 T_1))) (u1_struct_0 (k1_waybel_8 T_1)) (u1_struct_0 (k1_waybel_8 T_0))) /\ ((v4_waybel34 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 (k1_waybel_8 T_1))) (k1_waybel_8 T_1) (k1_waybel_8 T_0)) /\ (m2_relset_1 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 (k1_waybel_8 T_1))) (u1_struct_0 (k1_waybel_8 T_1)) (u1_struct_0 (k1_waybel_8 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) /\ (l1_orders_2 B))))))) => (All C, (((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 B) (u1_struct_0 A)) /\ ((v18_waybel_0 C B A) /\ (m2_relset_1 C (u1_struct_0 B) (u1_struct_0 A))))) => ((v3_waybel34 C B A) <=> ((v1_funct_1 (k8_relset_1 (u1_struct_0 B) (u1_struct_0 A) C (u1_struct_0 (k1_waybel_8 B)))) /\ ((v1_funct_2 (k8_relset_1 (u1_struct_0 B) (u1_struct_0 A) C (u1_struct_0 (k1_waybel_8 B))) (u1_struct_0 (k1_waybel_8 B)) (u1_struct_0 (k1_waybel_8 A))) /\ ((v4_waybel34 (k8_relset_1 (u1_struct_0 B) (u1_struct_0 A) C (u1_struct_0 (k1_waybel_8 B))) (k1_waybel_8 B) (k1_waybel_8 A)) /\ (m2_relset_1 (k8_relset_1 (u1_struct_0 B) (u1_struct_0 A) C (u1_struct_0 (k1_waybel_8 B))) (u1_struct_0 (k1_waybel_8 B)) (u1_struct_0 (k1_waybel_8 A))))))))))))) (v2_waybel_8 T_1) (v17_waybel_0 T_2 T_0 T_1) (v3_lattice3 T_0) (All A, (All B, (All C, (((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) /\ ((v2_orders_2 B) /\ ((v3_orders_2 B) /\ ((v4_orders_2 B) /\ ((v1_lattice3 B) /\ ((v2_lattice3 B) /\ ((v3_lattice3 B) /\ ((l1_orders_2 B) /\ ((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 A) (u1_struct_0 B)) /\ ((v17_waybel_0 C A B) /\ (m1_relset_1 C (u1_struct_0 A) (u1_struct_0 B))))))))))))))))))) => ((v1_relat_1 (k1_waybel34 A B C)) /\ ((v1_funct_1 (k1_waybel34 A B C)) /\ ((-. (v1_xboole_0 (k1_waybel34 A B C))) /\ ((v1_funct_2 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)) /\ ((v1_partfun1 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)) /\ ((v18_waybel_0 (k1_waybel34 A B C) B A) /\ ((v20_waybel_0 (k1_waybel34 A B C) B A) /\ ((v22_waybel_0 (k1_waybel34 A B C) B A) /\ ((v5_waybel_1 (k1_waybel34 A B C) A B) /\ (v5_orders_3 (k1_waybel34 A B C) B A)))))))))))))) (m1_relset_1 T_2 (u1_struct_0 T_0) (u1_struct_0 T_1)) (v1_funct_2 T_2 (u1_struct_0 T_0) (u1_struct_0 T_1)) (v1_funct_1 T_2) (l1_orders_2 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, (All B, (All C, (((v2_orders_2 A) /\ ((v3_orders_2 A) /\ ((v4_orders_2 A) /\ ((v1_lattice3 A) /\ ((v2_lattice3 A) /\ ((l1_orders_2 A) /\ ((v2_orders_2 B) /\ ((v3_orders_2 B) /\ ((v4_orders_2 B) /\ ((v1_lattice3 B) /\ ((v2_lattice3 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 (k1_waybel34 A B C)) /\ ((v1_funct_2 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)) /\ (m2_relset_1 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)))))))) (l1_orders_2 T_1) (v3_lattice3 T_1) (v2_lattice3 T_1) (v1_lattice3 T_1) (v4_orders_2 T_1) (v3_orders_2 T_1) (v2_orders_2 T_1) ### DisjTree 39 40 41 42 43 44 45 161
% 3.30/3.48 163. (All B, (((v2_orders_2 B) /\ ((v3_orders_2 B) /\ ((v4_orders_2 B) /\ ((v1_lattice3 B) /\ ((v2_lattice3 B) /\ ((v3_lattice3 B) /\ (l1_orders_2 B))))))) => (All C, (((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 B) (u1_struct_0 T_0)) /\ ((v18_waybel_0 C B T_0) /\ (m2_relset_1 C (u1_struct_0 B) (u1_struct_0 T_0))))) => (((v2_waybel_8 B) /\ (v3_waybel34 C B T_0)) => (v1_waybel34 C B T_0)))))) (v2_orders_2 T_1) (v3_orders_2 T_1) (v4_orders_2 T_1) (v1_lattice3 T_1) (v2_lattice3 T_1) (v3_lattice3 T_1) (l1_orders_2 T_1) (All A, (All B, (All C, (((v2_orders_2 A) /\ ((v3_orders_2 A) /\ ((v4_orders_2 A) /\ ((v1_lattice3 A) /\ ((v2_lattice3 A) /\ ((l1_orders_2 A) /\ ((v2_orders_2 B) /\ ((v3_orders_2 B) /\ ((v4_orders_2 B) /\ ((v1_lattice3 B) /\ ((v2_lattice3 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 (k1_waybel34 A B C)) /\ ((v1_funct_2 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)) /\ (m2_relset_1 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)))))))) (v2_orders_2 T_0) (v3_orders_2 T_0) (v4_orders_2 T_0) (v1_lattice3 T_0) (v2_lattice3 T_0) (l1_orders_2 T_0) (v1_funct_1 T_2) (v1_funct_2 T_2 (u1_struct_0 T_0) (u1_struct_0 T_1)) (m1_relset_1 T_2 (u1_struct_0 T_0) (u1_struct_0 T_1)) (All A, (All B, (All C, (((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) /\ ((v2_orders_2 B) /\ ((v3_orders_2 B) /\ ((v4_orders_2 B) /\ ((v1_lattice3 B) /\ ((v2_lattice3 B) /\ ((v3_lattice3 B) /\ ((l1_orders_2 B) /\ ((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 A) (u1_struct_0 B)) /\ ((v17_waybel_0 C A B) /\ (m1_relset_1 C (u1_struct_0 A) (u1_struct_0 B))))))))))))))))))) => ((v1_relat_1 (k1_waybel34 A B C)) /\ ((v1_funct_1 (k1_waybel34 A B C)) /\ ((-. (v1_xboole_0 (k1_waybel34 A B C))) /\ ((v1_funct_2 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)) /\ ((v1_partfun1 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)) /\ ((v18_waybel_0 (k1_waybel34 A B C) B A) /\ ((v20_waybel_0 (k1_waybel34 A B C) B A) /\ ((v22_waybel_0 (k1_waybel34 A B C) B A) /\ ((v5_waybel_1 (k1_waybel34 A B C) A B) /\ (v5_orders_3 (k1_waybel34 A B C) B A)))))))))))))) (v3_lattice3 T_0) (v17_waybel_0 T_2 T_0 T_1) (v2_waybel_8 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) /\ (l1_orders_2 B))))))) => (All C, (((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 B) (u1_struct_0 A)) /\ ((v18_waybel_0 C B A) /\ (m2_relset_1 C (u1_struct_0 B) (u1_struct_0 A))))) => ((v3_waybel34 C B A) <=> ((v1_funct_1 (k8_relset_1 (u1_struct_0 B) (u1_struct_0 A) C (u1_struct_0 (k1_waybel_8 B)))) /\ ((v1_funct_2 (k8_relset_1 (u1_struct_0 B) (u1_struct_0 A) C (u1_struct_0 (k1_waybel_8 B))) (u1_struct_0 (k1_waybel_8 B)) (u1_struct_0 (k1_waybel_8 A))) /\ ((v4_waybel34 (k8_relset_1 (u1_struct_0 B) (u1_struct_0 A) C (u1_struct_0 (k1_waybel_8 B))) (k1_waybel_8 B) (k1_waybel_8 A)) /\ (m2_relset_1 (k8_relset_1 (u1_struct_0 B) (u1_struct_0 A) C (u1_struct_0 (k1_waybel_8 B))) (u1_struct_0 (k1_waybel_8 B)) (u1_struct_0 (k1_waybel_8 A))))))))))))) ((v1_funct_1 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 (k1_waybel_8 T_1)))) /\ ((v1_funct_2 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 (k1_waybel_8 T_1))) (u1_struct_0 (k1_waybel_8 T_1)) (u1_struct_0 (k1_waybel_8 T_0))) /\ ((v4_waybel34 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 (k1_waybel_8 T_1))) (k1_waybel_8 T_1) (k1_waybel_8 T_0)) /\ (m2_relset_1 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 (k1_waybel_8 T_1))) (u1_struct_0 (k1_waybel_8 T_1)) (u1_struct_0 (k1_waybel_8 T_0)))))) (-. (v1_waybel34 (k1_waybel34 T_0 T_1 T_2) T_1 T_0)) ### All 162
% 3.30/3.48 164. (((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, (((v2_orders_2 B) /\ ((v3_orders_2 B) /\ ((v4_orders_2 B) /\ ((v1_lattice3 B) /\ ((v2_lattice3 B) /\ ((v3_lattice3 B) /\ (l1_orders_2 B))))))) => (All C, (((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 B) (u1_struct_0 T_0)) /\ ((v18_waybel_0 C B T_0) /\ (m2_relset_1 C (u1_struct_0 B) (u1_struct_0 T_0))))) => (((v2_waybel_8 B) /\ (v3_waybel34 C B T_0)) => (v1_waybel34 C B T_0))))))) (-. (v1_waybel34 (k1_waybel34 T_0 T_1 T_2) T_1 T_0)) ((v1_funct_1 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 (k1_waybel_8 T_1)))) /\ ((v1_funct_2 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 (k1_waybel_8 T_1))) (u1_struct_0 (k1_waybel_8 T_1)) (u1_struct_0 (k1_waybel_8 T_0))) /\ ((v4_waybel34 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 (k1_waybel_8 T_1))) (k1_waybel_8 T_1) (k1_waybel_8 T_0)) /\ (m2_relset_1 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 (k1_waybel_8 T_1))) (u1_struct_0 (k1_waybel_8 T_1)) (u1_struct_0 (k1_waybel_8 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) /\ (l1_orders_2 B))))))) => (All C, (((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 B) (u1_struct_0 A)) /\ ((v18_waybel_0 C B A) /\ (m2_relset_1 C (u1_struct_0 B) (u1_struct_0 A))))) => ((v3_waybel34 C B A) <=> ((v1_funct_1 (k8_relset_1 (u1_struct_0 B) (u1_struct_0 A) C (u1_struct_0 (k1_waybel_8 B)))) /\ ((v1_funct_2 (k8_relset_1 (u1_struct_0 B) (u1_struct_0 A) C (u1_struct_0 (k1_waybel_8 B))) (u1_struct_0 (k1_waybel_8 B)) (u1_struct_0 (k1_waybel_8 A))) /\ ((v4_waybel34 (k8_relset_1 (u1_struct_0 B) (u1_struct_0 A) C (u1_struct_0 (k1_waybel_8 B))) (k1_waybel_8 B) (k1_waybel_8 A)) /\ (m2_relset_1 (k8_relset_1 (u1_struct_0 B) (u1_struct_0 A) C (u1_struct_0 (k1_waybel_8 B))) (u1_struct_0 (k1_waybel_8 B)) (u1_struct_0 (k1_waybel_8 A))))))))))))) (v2_waybel_8 T_1) (v17_waybel_0 T_2 T_0 T_1) (All A, (All B, (All C, (((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) /\ ((v2_orders_2 B) /\ ((v3_orders_2 B) /\ ((v4_orders_2 B) /\ ((v1_lattice3 B) /\ ((v2_lattice3 B) /\ ((v3_lattice3 B) /\ ((l1_orders_2 B) /\ ((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 A) (u1_struct_0 B)) /\ ((v17_waybel_0 C A B) /\ (m1_relset_1 C (u1_struct_0 A) (u1_struct_0 B))))))))))))))))))) => ((v1_relat_1 (k1_waybel34 A B C)) /\ ((v1_funct_1 (k1_waybel34 A B C)) /\ ((-. (v1_xboole_0 (k1_waybel34 A B C))) /\ ((v1_funct_2 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)) /\ ((v1_partfun1 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)) /\ ((v18_waybel_0 (k1_waybel34 A B C) B A) /\ ((v20_waybel_0 (k1_waybel34 A B C) B A) /\ ((v22_waybel_0 (k1_waybel34 A B C) B A) /\ ((v5_waybel_1 (k1_waybel34 A B C) A B) /\ (v5_orders_3 (k1_waybel34 A B C) B A)))))))))))))) (m1_relset_1 T_2 (u1_struct_0 T_0) (u1_struct_0 T_1)) (v1_funct_2 T_2 (u1_struct_0 T_0) (u1_struct_0 T_1)) (v1_funct_1 T_2) (All A, (All B, (All C, (((v2_orders_2 A) /\ ((v3_orders_2 A) /\ ((v4_orders_2 A) /\ ((v1_lattice3 A) /\ ((v2_lattice3 A) /\ ((l1_orders_2 A) /\ ((v2_orders_2 B) /\ ((v3_orders_2 B) /\ ((v4_orders_2 B) /\ ((v1_lattice3 B) /\ ((v2_lattice3 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 (k1_waybel34 A B C)) /\ ((v1_funct_2 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)) /\ (m2_relset_1 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)))))))) (l1_orders_2 T_1) (v3_lattice3 T_1) (v2_lattice3 T_1) (v1_lattice3 T_1) (v4_orders_2 T_1) (v3_orders_2 T_1) (v2_orders_2 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 32 33 34 35 36 37 38 163
% 3.30/3.49 165. (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) /\ (l1_orders_2 B))))))) => (All C, (((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 B) (u1_struct_0 A)) /\ ((v18_waybel_0 C B A) /\ (m2_relset_1 C (u1_struct_0 B) (u1_struct_0 A))))) => (((v2_waybel_8 B) /\ (v3_waybel34 C B A)) => (v1_waybel34 C 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) (v2_orders_2 T_1) (v3_orders_2 T_1) (v4_orders_2 T_1) (v1_lattice3 T_1) (v2_lattice3 T_1) (v3_lattice3 T_1) (l1_orders_2 T_1) (All A, (All B, (All C, (((v2_orders_2 A) /\ ((v3_orders_2 A) /\ ((v4_orders_2 A) /\ ((v1_lattice3 A) /\ ((v2_lattice3 A) /\ ((l1_orders_2 A) /\ ((v2_orders_2 B) /\ ((v3_orders_2 B) /\ ((v4_orders_2 B) /\ ((v1_lattice3 B) /\ ((v2_lattice3 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 (k1_waybel34 A B C)) /\ ((v1_funct_2 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)) /\ (m2_relset_1 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)))))))) (v1_funct_1 T_2) (v1_funct_2 T_2 (u1_struct_0 T_0) (u1_struct_0 T_1)) (m1_relset_1 T_2 (u1_struct_0 T_0) (u1_struct_0 T_1)) (All A, (All B, (All C, (((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) /\ ((v2_orders_2 B) /\ ((v3_orders_2 B) /\ ((v4_orders_2 B) /\ ((v1_lattice3 B) /\ ((v2_lattice3 B) /\ ((v3_lattice3 B) /\ ((l1_orders_2 B) /\ ((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 A) (u1_struct_0 B)) /\ ((v17_waybel_0 C A B) /\ (m1_relset_1 C (u1_struct_0 A) (u1_struct_0 B))))))))))))))))))) => ((v1_relat_1 (k1_waybel34 A B C)) /\ ((v1_funct_1 (k1_waybel34 A B C)) /\ ((-. (v1_xboole_0 (k1_waybel34 A B C))) /\ ((v1_funct_2 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)) /\ ((v1_partfun1 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)) /\ ((v18_waybel_0 (k1_waybel34 A B C) B A) /\ ((v20_waybel_0 (k1_waybel34 A B C) B A) /\ ((v22_waybel_0 (k1_waybel34 A B C) B A) /\ ((v5_waybel_1 (k1_waybel34 A B C) A B) /\ (v5_orders_3 (k1_waybel34 A B C) B A)))))))))))))) (v17_waybel_0 T_2 T_0 T_1) (v2_waybel_8 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) /\ (l1_orders_2 B))))))) => (All C, (((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 B) (u1_struct_0 A)) /\ ((v18_waybel_0 C B A) /\ (m2_relset_1 C (u1_struct_0 B) (u1_struct_0 A))))) => ((v3_waybel34 C B A) <=> ((v1_funct_1 (k8_relset_1 (u1_struct_0 B) (u1_struct_0 A) C (u1_struct_0 (k1_waybel_8 B)))) /\ ((v1_funct_2 (k8_relset_1 (u1_struct_0 B) (u1_struct_0 A) C (u1_struct_0 (k1_waybel_8 B))) (u1_struct_0 (k1_waybel_8 B)) (u1_struct_0 (k1_waybel_8 A))) /\ ((v4_waybel34 (k8_relset_1 (u1_struct_0 B) (u1_struct_0 A) C (u1_struct_0 (k1_waybel_8 B))) (k1_waybel_8 B) (k1_waybel_8 A)) /\ (m2_relset_1 (k8_relset_1 (u1_struct_0 B) (u1_struct_0 A) C (u1_struct_0 (k1_waybel_8 B))) (u1_struct_0 (k1_waybel_8 B)) (u1_struct_0 (k1_waybel_8 A))))))))))))) ((v1_funct_1 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 (k1_waybel_8 T_1)))) /\ ((v1_funct_2 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 (k1_waybel_8 T_1))) (u1_struct_0 (k1_waybel_8 T_1)) (u1_struct_0 (k1_waybel_8 T_0))) /\ ((v4_waybel34 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 (k1_waybel_8 T_1))) (k1_waybel_8 T_1) (k1_waybel_8 T_0)) /\ (m2_relset_1 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 (k1_waybel_8 T_1))) (u1_struct_0 (k1_waybel_8 T_1)) (u1_struct_0 (k1_waybel_8 T_0)))))) (-. (v1_waybel34 (k1_waybel34 T_0 T_1 T_2) T_1 T_0)) ### All 164
% 3.30/3.49 166. (-. (v22_waybel_0 T_2 T_0 T_1)) (v22_waybel_0 T_2 T_0 T_1) ### Axiom
% 3.30/3.49 167. (((v1_funct_1 T_2) /\ ((v1_funct_2 T_2 (u1_struct_0 T_0) (u1_struct_0 T_1)) /\ ((v17_waybel_0 T_2 T_0 T_1) /\ (m2_relset_1 T_2 (u1_struct_0 T_0) (u1_struct_0 T_1))))) => ((v1_waybel34 (k1_waybel34 T_0 T_1 T_2) T_1 T_0) => (v22_waybel_0 T_2 T_0 T_1))) (-. (v22_waybel_0 T_2 T_0 T_1)) ((v1_funct_1 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 (k1_waybel_8 T_1)))) /\ ((v1_funct_2 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 (k1_waybel_8 T_1))) (u1_struct_0 (k1_waybel_8 T_1)) (u1_struct_0 (k1_waybel_8 T_0))) /\ ((v4_waybel34 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 (k1_waybel_8 T_1))) (k1_waybel_8 T_1) (k1_waybel_8 T_0)) /\ (m2_relset_1 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 (k1_waybel_8 T_1))) (u1_struct_0 (k1_waybel_8 T_1)) (u1_struct_0 (k1_waybel_8 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) /\ (l1_orders_2 B))))))) => (All C, (((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 B) (u1_struct_0 A)) /\ ((v18_waybel_0 C B A) /\ (m2_relset_1 C (u1_struct_0 B) (u1_struct_0 A))))) => ((v3_waybel34 C B A) <=> ((v1_funct_1 (k8_relset_1 (u1_struct_0 B) (u1_struct_0 A) C (u1_struct_0 (k1_waybel_8 B)))) /\ ((v1_funct_2 (k8_relset_1 (u1_struct_0 B) (u1_struct_0 A) C (u1_struct_0 (k1_waybel_8 B))) (u1_struct_0 (k1_waybel_8 B)) (u1_struct_0 (k1_waybel_8 A))) /\ ((v4_waybel34 (k8_relset_1 (u1_struct_0 B) (u1_struct_0 A) C (u1_struct_0 (k1_waybel_8 B))) (k1_waybel_8 B) (k1_waybel_8 A)) /\ (m2_relset_1 (k8_relset_1 (u1_struct_0 B) (u1_struct_0 A) C (u1_struct_0 (k1_waybel_8 B))) (u1_struct_0 (k1_waybel_8 B)) (u1_struct_0 (k1_waybel_8 A))))))))))))) (v2_waybel_8 T_1) (All A, (All B, (All C, (((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) /\ ((v2_orders_2 B) /\ ((v3_orders_2 B) /\ ((v4_orders_2 B) /\ ((v1_lattice3 B) /\ ((v2_lattice3 B) /\ ((v3_lattice3 B) /\ ((l1_orders_2 B) /\ ((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 A) (u1_struct_0 B)) /\ ((v17_waybel_0 C A B) /\ (m1_relset_1 C (u1_struct_0 A) (u1_struct_0 B))))))))))))))))))) => ((v1_relat_1 (k1_waybel34 A B C)) /\ ((v1_funct_1 (k1_waybel34 A B C)) /\ ((-. (v1_xboole_0 (k1_waybel34 A B C))) /\ ((v1_funct_2 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)) /\ ((v1_partfun1 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)) /\ ((v18_waybel_0 (k1_waybel34 A B C) B A) /\ ((v20_waybel_0 (k1_waybel34 A B C) B A) /\ ((v22_waybel_0 (k1_waybel34 A B C) B A) /\ ((v5_waybel_1 (k1_waybel34 A B C) A B) /\ (v5_orders_3 (k1_waybel34 A B C) B A)))))))))))))) (All A, (All B, (All C, (((v2_orders_2 A) /\ ((v3_orders_2 A) /\ ((v4_orders_2 A) /\ ((v1_lattice3 A) /\ ((v2_lattice3 A) /\ ((l1_orders_2 A) /\ ((v2_orders_2 B) /\ ((v3_orders_2 B) /\ ((v4_orders_2 B) /\ ((v1_lattice3 B) /\ ((v2_lattice3 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 (k1_waybel34 A B C)) /\ ((v1_funct_2 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)) /\ (m2_relset_1 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)))))))) (l1_orders_2 T_1) (v3_lattice3 T_1) (v2_lattice3 T_1) (v1_lattice3 T_1) (v4_orders_2 T_1) (v3_orders_2 T_1) (v2_orders_2 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, (((v2_orders_2 B) /\ ((v3_orders_2 B) /\ ((v4_orders_2 B) /\ ((v1_lattice3 B) /\ ((v2_lattice3 B) /\ ((v3_lattice3 B) /\ (l1_orders_2 B))))))) => (All C, (((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 B) (u1_struct_0 A)) /\ ((v18_waybel_0 C B A) /\ (m2_relset_1 C (u1_struct_0 B) (u1_struct_0 A))))) => (((v2_waybel_8 B) /\ (v3_waybel34 C B A)) => (v1_waybel34 C B A)))))))) (m1_relset_1 T_2 (u1_struct_0 T_0) (u1_struct_0 T_1)) (v17_waybel_0 T_2 T_0 T_1) (v1_funct_2 T_2 (u1_struct_0 T_0) (u1_struct_0 T_1)) (v1_funct_1 T_2) ### DisjTree 27 28 29 31 165 166
% 3.30/3.50 168. (All C, (((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 T_0) (u1_struct_0 T_1)) /\ ((v17_waybel_0 C T_0 T_1) /\ (m2_relset_1 C (u1_struct_0 T_0) (u1_struct_0 T_1))))) => ((v1_waybel34 (k1_waybel34 T_0 T_1 C) T_1 T_0) => (v22_waybel_0 C T_0 T_1)))) (v1_funct_1 T_2) (v1_funct_2 T_2 (u1_struct_0 T_0) (u1_struct_0 T_1)) (v17_waybel_0 T_2 T_0 T_1) (m1_relset_1 T_2 (u1_struct_0 T_0) (u1_struct_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) /\ (l1_orders_2 B))))))) => (All C, (((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 B) (u1_struct_0 A)) /\ ((v18_waybel_0 C B A) /\ (m2_relset_1 C (u1_struct_0 B) (u1_struct_0 A))))) => (((v2_waybel_8 B) /\ (v3_waybel34 C B A)) => (v1_waybel34 C 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) (v2_orders_2 T_1) (v3_orders_2 T_1) (v4_orders_2 T_1) (v1_lattice3 T_1) (v2_lattice3 T_1) (v3_lattice3 T_1) (l1_orders_2 T_1) (All A, (All B, (All C, (((v2_orders_2 A) /\ ((v3_orders_2 A) /\ ((v4_orders_2 A) /\ ((v1_lattice3 A) /\ ((v2_lattice3 A) /\ ((l1_orders_2 A) /\ ((v2_orders_2 B) /\ ((v3_orders_2 B) /\ ((v4_orders_2 B) /\ ((v1_lattice3 B) /\ ((v2_lattice3 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 (k1_waybel34 A B C)) /\ ((v1_funct_2 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)) /\ (m2_relset_1 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)))))))) (All A, (All B, (All C, (((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) /\ ((v2_orders_2 B) /\ ((v3_orders_2 B) /\ ((v4_orders_2 B) /\ ((v1_lattice3 B) /\ ((v2_lattice3 B) /\ ((v3_lattice3 B) /\ ((l1_orders_2 B) /\ ((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 A) (u1_struct_0 B)) /\ ((v17_waybel_0 C A B) /\ (m1_relset_1 C (u1_struct_0 A) (u1_struct_0 B))))))))))))))))))) => ((v1_relat_1 (k1_waybel34 A B C)) /\ ((v1_funct_1 (k1_waybel34 A B C)) /\ ((-. (v1_xboole_0 (k1_waybel34 A B C))) /\ ((v1_funct_2 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)) /\ ((v1_partfun1 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)) /\ ((v18_waybel_0 (k1_waybel34 A B C) B A) /\ ((v20_waybel_0 (k1_waybel34 A B C) B A) /\ ((v22_waybel_0 (k1_waybel34 A B C) B A) /\ ((v5_waybel_1 (k1_waybel34 A B C) A B) /\ (v5_orders_3 (k1_waybel34 A B C) B A)))))))))))))) (v2_waybel_8 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) /\ (l1_orders_2 B))))))) => (All C, (((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 B) (u1_struct_0 A)) /\ ((v18_waybel_0 C B A) /\ (m2_relset_1 C (u1_struct_0 B) (u1_struct_0 A))))) => ((v3_waybel34 C B A) <=> ((v1_funct_1 (k8_relset_1 (u1_struct_0 B) (u1_struct_0 A) C (u1_struct_0 (k1_waybel_8 B)))) /\ ((v1_funct_2 (k8_relset_1 (u1_struct_0 B) (u1_struct_0 A) C (u1_struct_0 (k1_waybel_8 B))) (u1_struct_0 (k1_waybel_8 B)) (u1_struct_0 (k1_waybel_8 A))) /\ ((v4_waybel34 (k8_relset_1 (u1_struct_0 B) (u1_struct_0 A) C (u1_struct_0 (k1_waybel_8 B))) (k1_waybel_8 B) (k1_waybel_8 A)) /\ (m2_relset_1 (k8_relset_1 (u1_struct_0 B) (u1_struct_0 A) C (u1_struct_0 (k1_waybel_8 B))) (u1_struct_0 (k1_waybel_8 B)) (u1_struct_0 (k1_waybel_8 A))))))))))))) ((v1_funct_1 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 (k1_waybel_8 T_1)))) /\ ((v1_funct_2 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 (k1_waybel_8 T_1))) (u1_struct_0 (k1_waybel_8 T_1)) (u1_struct_0 (k1_waybel_8 T_0))) /\ ((v4_waybel34 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 (k1_waybel_8 T_1))) (k1_waybel_8 T_1) (k1_waybel_8 T_0)) /\ (m2_relset_1 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 (k1_waybel_8 T_1))) (u1_struct_0 (k1_waybel_8 T_1)) (u1_struct_0 (k1_waybel_8 T_0)))))) (-. (v22_waybel_0 T_2 T_0 T_1)) ### All 167
% 3.30/3.50 169. (((v2_orders_2 T_1) /\ ((v3_orders_2 T_1) /\ ((v4_orders_2 T_1) /\ ((v1_lattice3 T_1) /\ ((v2_lattice3 T_1) /\ ((v3_lattice3 T_1) /\ ((v3_waybel_3 T_1) /\ (l1_orders_2 T_1)))))))) => (All C, (((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 T_0) (u1_struct_0 T_1)) /\ ((v17_waybel_0 C T_0 T_1) /\ (m2_relset_1 C (u1_struct_0 T_0) (u1_struct_0 T_1))))) => ((v1_waybel34 (k1_waybel34 T_0 T_1 C) T_1 T_0) => (v22_waybel_0 C T_0 T_1))))) (-. (v22_waybel_0 T_2 T_0 T_1)) ((v1_funct_1 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 (k1_waybel_8 T_1)))) /\ ((v1_funct_2 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 (k1_waybel_8 T_1))) (u1_struct_0 (k1_waybel_8 T_1)) (u1_struct_0 (k1_waybel_8 T_0))) /\ ((v4_waybel34 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 (k1_waybel_8 T_1))) (k1_waybel_8 T_1) (k1_waybel_8 T_0)) /\ (m2_relset_1 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 (k1_waybel_8 T_1))) (u1_struct_0 (k1_waybel_8 T_1)) (u1_struct_0 (k1_waybel_8 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) /\ (l1_orders_2 B))))))) => (All C, (((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 B) (u1_struct_0 A)) /\ ((v18_waybel_0 C B A) /\ (m2_relset_1 C (u1_struct_0 B) (u1_struct_0 A))))) => ((v3_waybel34 C B A) <=> ((v1_funct_1 (k8_relset_1 (u1_struct_0 B) (u1_struct_0 A) C (u1_struct_0 (k1_waybel_8 B)))) /\ ((v1_funct_2 (k8_relset_1 (u1_struct_0 B) (u1_struct_0 A) C (u1_struct_0 (k1_waybel_8 B))) (u1_struct_0 (k1_waybel_8 B)) (u1_struct_0 (k1_waybel_8 A))) /\ ((v4_waybel34 (k8_relset_1 (u1_struct_0 B) (u1_struct_0 A) C (u1_struct_0 (k1_waybel_8 B))) (k1_waybel_8 B) (k1_waybel_8 A)) /\ (m2_relset_1 (k8_relset_1 (u1_struct_0 B) (u1_struct_0 A) C (u1_struct_0 (k1_waybel_8 B))) (u1_struct_0 (k1_waybel_8 B)) (u1_struct_0 (k1_waybel_8 A))))))))))))) (All A, (All B, (All C, (((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) /\ ((v2_orders_2 B) /\ ((v3_orders_2 B) /\ ((v4_orders_2 B) /\ ((v1_lattice3 B) /\ ((v2_lattice3 B) /\ ((v3_lattice3 B) /\ ((l1_orders_2 B) /\ ((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 A) (u1_struct_0 B)) /\ ((v17_waybel_0 C A B) /\ (m1_relset_1 C (u1_struct_0 A) (u1_struct_0 B))))))))))))))))))) => ((v1_relat_1 (k1_waybel34 A B C)) /\ ((v1_funct_1 (k1_waybel34 A B C)) /\ ((-. (v1_xboole_0 (k1_waybel34 A B C))) /\ ((v1_funct_2 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)) /\ ((v1_partfun1 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)) /\ ((v18_waybel_0 (k1_waybel34 A B C) B A) /\ ((v20_waybel_0 (k1_waybel34 A B C) B A) /\ ((v22_waybel_0 (k1_waybel34 A B C) B A) /\ ((v5_waybel_1 (k1_waybel34 A B C) A B) /\ (v5_orders_3 (k1_waybel34 A B C) B A)))))))))))))) (All A, (All B, (All C, (((v2_orders_2 A) /\ ((v3_orders_2 A) /\ ((v4_orders_2 A) /\ ((v1_lattice3 A) /\ ((v2_lattice3 A) /\ ((l1_orders_2 A) /\ ((v2_orders_2 B) /\ ((v3_orders_2 B) /\ ((v4_orders_2 B) /\ ((v1_lattice3 B) /\ ((v2_lattice3 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 (k1_waybel34 A B C)) /\ ((v1_funct_2 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)) /\ (m2_relset_1 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)))))))) (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, (((v2_orders_2 B) /\ ((v3_orders_2 B) /\ ((v4_orders_2 B) /\ ((v1_lattice3 B) /\ ((v2_lattice3 B) /\ ((v3_lattice3 B) /\ (l1_orders_2 B))))))) => (All C, (((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 B) (u1_struct_0 A)) /\ ((v18_waybel_0 C B A) /\ (m2_relset_1 C (u1_struct_0 B) (u1_struct_0 A))))) => (((v2_waybel_8 B) /\ (v3_waybel34 C B A)) => (v1_waybel34 C B A)))))))) (m1_relset_1 T_2 (u1_struct_0 T_0) (u1_struct_0 T_1)) (v17_waybel_0 T_2 T_0 T_1) (v1_funct_2 T_2 (u1_struct_0 T_0) (u1_struct_0 T_1)) (v1_funct_1 T_2) (v2_waybel_8 T_1) (l1_orders_2 T_1) (All A, (((v2_orders_2 A) /\ ((v3_orders_2 A) /\ ((v4_orders_2 A) /\ ((v1_lattice3 A) /\ ((v2_lattice3 A) /\ (l1_orders_2 A)))))) => ((v2_waybel_8 A) <=> ((v3_waybel_3 A) /\ (All B, ((m1_subset_1 B (u1_struct_0 A)) => (All C, ((m1_subset_1 C (u1_struct_0 A)) => (-. ((r1_waybel_3 A B C) /\ (All D, ((m1_subset_1 D (u1_struct_0 A)) => (-. ((r2_hidden D (u1_struct_0 (k1_waybel_8 A))) /\ ((r3_orders_2 A B D) /\ (r3_orders_2 A D C)))))))))))))))) (v3_lattice3 T_1) (v2_lattice3 T_1) (v1_lattice3 T_1) (v4_orders_2 T_1) (v3_orders_2 T_1) (v2_orders_2 T_1) ### DisjTree 8 9 10 11 12 13 25 26 168
% 3.30/3.50 170. (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 T_0) (u1_struct_0 B)) /\ ((v17_waybel_0 C T_0 B) /\ (m2_relset_1 C (u1_struct_0 T_0) (u1_struct_0 B))))) => ((v1_waybel34 (k1_waybel34 T_0 B C) B T_0) => (v22_waybel_0 C T_0 B)))))) (v2_orders_2 T_1) (v3_orders_2 T_1) (v4_orders_2 T_1) (v1_lattice3 T_1) (v2_lattice3 T_1) (v3_lattice3 T_1) (All A, (((v2_orders_2 A) /\ ((v3_orders_2 A) /\ ((v4_orders_2 A) /\ ((v1_lattice3 A) /\ ((v2_lattice3 A) /\ (l1_orders_2 A)))))) => ((v2_waybel_8 A) <=> ((v3_waybel_3 A) /\ (All B, ((m1_subset_1 B (u1_struct_0 A)) => (All C, ((m1_subset_1 C (u1_struct_0 A)) => (-. ((r1_waybel_3 A B C) /\ (All D, ((m1_subset_1 D (u1_struct_0 A)) => (-. ((r2_hidden D (u1_struct_0 (k1_waybel_8 A))) /\ ((r3_orders_2 A B D) /\ (r3_orders_2 A D C)))))))))))))))) (l1_orders_2 T_1) (v2_waybel_8 T_1) (v1_funct_1 T_2) (v1_funct_2 T_2 (u1_struct_0 T_0) (u1_struct_0 T_1)) (v17_waybel_0 T_2 T_0 T_1) (m1_relset_1 T_2 (u1_struct_0 T_0) (u1_struct_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) /\ (l1_orders_2 B))))))) => (All C, (((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 B) (u1_struct_0 A)) /\ ((v18_waybel_0 C B A) /\ (m2_relset_1 C (u1_struct_0 B) (u1_struct_0 A))))) => (((v2_waybel_8 B) /\ (v3_waybel34 C B A)) => (v1_waybel34 C 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, (All B, (All C, (((v2_orders_2 A) /\ ((v3_orders_2 A) /\ ((v4_orders_2 A) /\ ((v1_lattice3 A) /\ ((v2_lattice3 A) /\ ((l1_orders_2 A) /\ ((v2_orders_2 B) /\ ((v3_orders_2 B) /\ ((v4_orders_2 B) /\ ((v1_lattice3 B) /\ ((v2_lattice3 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 (k1_waybel34 A B C)) /\ ((v1_funct_2 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)) /\ (m2_relset_1 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)))))))) (All A, (All B, (All C, (((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) /\ ((v2_orders_2 B) /\ ((v3_orders_2 B) /\ ((v4_orders_2 B) /\ ((v1_lattice3 B) /\ ((v2_lattice3 B) /\ ((v3_lattice3 B) /\ ((l1_orders_2 B) /\ ((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 A) (u1_struct_0 B)) /\ ((v17_waybel_0 C A B) /\ (m1_relset_1 C (u1_struct_0 A) (u1_struct_0 B))))))))))))))))))) => ((v1_relat_1 (k1_waybel34 A B C)) /\ ((v1_funct_1 (k1_waybel34 A B C)) /\ ((-. (v1_xboole_0 (k1_waybel34 A B C))) /\ ((v1_funct_2 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)) /\ ((v1_partfun1 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)) /\ ((v18_waybel_0 (k1_waybel34 A B C) B A) /\ ((v20_waybel_0 (k1_waybel34 A B C) B A) /\ ((v22_waybel_0 (k1_waybel34 A B C) B A) /\ ((v5_waybel_1 (k1_waybel34 A B C) A B) /\ (v5_orders_3 (k1_waybel34 A B C) 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) /\ (l1_orders_2 B))))))) => (All C, (((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 B) (u1_struct_0 A)) /\ ((v18_waybel_0 C B A) /\ (m2_relset_1 C (u1_struct_0 B) (u1_struct_0 A))))) => ((v3_waybel34 C B A) <=> ((v1_funct_1 (k8_relset_1 (u1_struct_0 B) (u1_struct_0 A) C (u1_struct_0 (k1_waybel_8 B)))) /\ ((v1_funct_2 (k8_relset_1 (u1_struct_0 B) (u1_struct_0 A) C (u1_struct_0 (k1_waybel_8 B))) (u1_struct_0 (k1_waybel_8 B)) (u1_struct_0 (k1_waybel_8 A))) /\ ((v4_waybel34 (k8_relset_1 (u1_struct_0 B) (u1_struct_0 A) C (u1_struct_0 (k1_waybel_8 B))) (k1_waybel_8 B) (k1_waybel_8 A)) /\ (m2_relset_1 (k8_relset_1 (u1_struct_0 B) (u1_struct_0 A) C (u1_struct_0 (k1_waybel_8 B))) (u1_struct_0 (k1_waybel_8 B)) (u1_struct_0 (k1_waybel_8 A))))))))))))) ((v1_funct_1 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 (k1_waybel_8 T_1)))) /\ ((v1_funct_2 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 (k1_waybel_8 T_1))) (u1_struct_0 (k1_waybel_8 T_1)) (u1_struct_0 (k1_waybel_8 T_0))) /\ ((v4_waybel34 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 (k1_waybel_8 T_1))) (k1_waybel_8 T_1) (k1_waybel_8 T_0)) /\ (m2_relset_1 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 (k1_waybel_8 T_1))) (u1_struct_0 (k1_waybel_8 T_1)) (u1_struct_0 (k1_waybel_8 T_0)))))) (-. (v22_waybel_0 T_2 T_0 T_1)) ### All 169
% 3.30/3.53 171. (((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, (((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 T_0) (u1_struct_0 B)) /\ ((v17_waybel_0 C T_0 B) /\ (m2_relset_1 C (u1_struct_0 T_0) (u1_struct_0 B))))) => ((v1_waybel34 (k1_waybel34 T_0 B C) B T_0) => (v22_waybel_0 C T_0 B))))))) (-. (v22_waybel_0 T_2 T_0 T_1)) ((v1_funct_1 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 (k1_waybel_8 T_1)))) /\ ((v1_funct_2 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 (k1_waybel_8 T_1))) (u1_struct_0 (k1_waybel_8 T_1)) (u1_struct_0 (k1_waybel_8 T_0))) /\ ((v4_waybel34 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 (k1_waybel_8 T_1))) (k1_waybel_8 T_1) (k1_waybel_8 T_0)) /\ (m2_relset_1 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 (k1_waybel_8 T_1))) (u1_struct_0 (k1_waybel_8 T_1)) (u1_struct_0 (k1_waybel_8 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) /\ (l1_orders_2 B))))))) => (All C, (((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 B) (u1_struct_0 A)) /\ ((v18_waybel_0 C B A) /\ (m2_relset_1 C (u1_struct_0 B) (u1_struct_0 A))))) => ((v3_waybel34 C B A) <=> ((v1_funct_1 (k8_relset_1 (u1_struct_0 B) (u1_struct_0 A) C (u1_struct_0 (k1_waybel_8 B)))) /\ ((v1_funct_2 (k8_relset_1 (u1_struct_0 B) (u1_struct_0 A) C (u1_struct_0 (k1_waybel_8 B))) (u1_struct_0 (k1_waybel_8 B)) (u1_struct_0 (k1_waybel_8 A))) /\ ((v4_waybel34 (k8_relset_1 (u1_struct_0 B) (u1_struct_0 A) C (u1_struct_0 (k1_waybel_8 B))) (k1_waybel_8 B) (k1_waybel_8 A)) /\ (m2_relset_1 (k8_relset_1 (u1_struct_0 B) (u1_struct_0 A) C (u1_struct_0 (k1_waybel_8 B))) (u1_struct_0 (k1_waybel_8 B)) (u1_struct_0 (k1_waybel_8 A))))))))))))) (All A, (All B, (All C, (((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) /\ ((v2_orders_2 B) /\ ((v3_orders_2 B) /\ ((v4_orders_2 B) /\ ((v1_lattice3 B) /\ ((v2_lattice3 B) /\ ((v3_lattice3 B) /\ ((l1_orders_2 B) /\ ((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 A) (u1_struct_0 B)) /\ ((v17_waybel_0 C A B) /\ (m1_relset_1 C (u1_struct_0 A) (u1_struct_0 B))))))))))))))))))) => ((v1_relat_1 (k1_waybel34 A B C)) /\ ((v1_funct_1 (k1_waybel34 A B C)) /\ ((-. (v1_xboole_0 (k1_waybel34 A B C))) /\ ((v1_funct_2 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)) /\ ((v1_partfun1 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)) /\ ((v18_waybel_0 (k1_waybel34 A B C) B A) /\ ((v20_waybel_0 (k1_waybel34 A B C) B A) /\ ((v22_waybel_0 (k1_waybel34 A B C) B A) /\ ((v5_waybel_1 (k1_waybel34 A B C) A B) /\ (v5_orders_3 (k1_waybel34 A B C) B A)))))))))))))) (All A, (All B, (All C, (((v2_orders_2 A) /\ ((v3_orders_2 A) /\ ((v4_orders_2 A) /\ ((v1_lattice3 A) /\ ((v2_lattice3 A) /\ ((l1_orders_2 A) /\ ((v2_orders_2 B) /\ ((v3_orders_2 B) /\ ((v4_orders_2 B) /\ ((v1_lattice3 B) /\ ((v2_lattice3 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 (k1_waybel34 A B C)) /\ ((v1_funct_2 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)) /\ (m2_relset_1 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 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) /\ (l1_orders_2 B))))))) => (All C, (((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 B) (u1_struct_0 A)) /\ ((v18_waybel_0 C B A) /\ (m2_relset_1 C (u1_struct_0 B) (u1_struct_0 A))))) => (((v2_waybel_8 B) /\ (v3_waybel34 C B A)) => (v1_waybel34 C B A)))))))) (m1_relset_1 T_2 (u1_struct_0 T_0) (u1_struct_0 T_1)) (v17_waybel_0 T_2 T_0 T_1) (v1_funct_2 T_2 (u1_struct_0 T_0) (u1_struct_0 T_1)) (v1_funct_1 T_2) (v2_waybel_8 T_1) (l1_orders_2 T_1) (All A, (((v2_orders_2 A) /\ ((v3_orders_2 A) /\ ((v4_orders_2 A) /\ ((v1_lattice3 A) /\ ((v2_lattice3 A) /\ (l1_orders_2 A)))))) => ((v2_waybel_8 A) <=> ((v3_waybel_3 A) /\ (All B, ((m1_subset_1 B (u1_struct_0 A)) => (All C, ((m1_subset_1 C (u1_struct_0 A)) => (-. ((r1_waybel_3 A B C) /\ (All D, ((m1_subset_1 D (u1_struct_0 A)) => (-. ((r2_hidden D (u1_struct_0 (k1_waybel_8 A))) /\ ((r3_orders_2 A B D) /\ (r3_orders_2 A D C)))))))))))))))) (v3_lattice3 T_1) (v2_lattice3 T_1) (v1_lattice3 T_1) (v4_orders_2 T_1) (v3_orders_2 T_1) (v2_orders_2 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 7 170
% 3.30/3.53 172. (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)))))))) (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) (v2_orders_2 T_1) (v3_orders_2 T_1) (v4_orders_2 T_1) (v1_lattice3 T_1) (v2_lattice3 T_1) (v3_lattice3 T_1) (All A, (((v2_orders_2 A) /\ ((v3_orders_2 A) /\ ((v4_orders_2 A) /\ ((v1_lattice3 A) /\ ((v2_lattice3 A) /\ (l1_orders_2 A)))))) => ((v2_waybel_8 A) <=> ((v3_waybel_3 A) /\ (All B, ((m1_subset_1 B (u1_struct_0 A)) => (All C, ((m1_subset_1 C (u1_struct_0 A)) => (-. ((r1_waybel_3 A B C) /\ (All D, ((m1_subset_1 D (u1_struct_0 A)) => (-. ((r2_hidden D (u1_struct_0 (k1_waybel_8 A))) /\ ((r3_orders_2 A B D) /\ (r3_orders_2 A D C)))))))))))))))) (l1_orders_2 T_1) (v2_waybel_8 T_1) (v1_funct_1 T_2) (v1_funct_2 T_2 (u1_struct_0 T_0) (u1_struct_0 T_1)) (v17_waybel_0 T_2 T_0 T_1) (m1_relset_1 T_2 (u1_struct_0 T_0) (u1_struct_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) /\ (l1_orders_2 B))))))) => (All C, (((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 B) (u1_struct_0 A)) /\ ((v18_waybel_0 C B A) /\ (m2_relset_1 C (u1_struct_0 B) (u1_struct_0 A))))) => (((v2_waybel_8 B) /\ (v3_waybel34 C B A)) => (v1_waybel34 C B A)))))))) (All A, (All B, (All C, (((v2_orders_2 A) /\ ((v3_orders_2 A) /\ ((v4_orders_2 A) /\ ((v1_lattice3 A) /\ ((v2_lattice3 A) /\ ((l1_orders_2 A) /\ ((v2_orders_2 B) /\ ((v3_orders_2 B) /\ ((v4_orders_2 B) /\ ((v1_lattice3 B) /\ ((v2_lattice3 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 (k1_waybel34 A B C)) /\ ((v1_funct_2 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)) /\ (m2_relset_1 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)))))))) (All A, (All B, (All C, (((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) /\ ((v2_orders_2 B) /\ ((v3_orders_2 B) /\ ((v4_orders_2 B) /\ ((v1_lattice3 B) /\ ((v2_lattice3 B) /\ ((v3_lattice3 B) /\ ((l1_orders_2 B) /\ ((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 A) (u1_struct_0 B)) /\ ((v17_waybel_0 C A B) /\ (m1_relset_1 C (u1_struct_0 A) (u1_struct_0 B))))))))))))))))))) => ((v1_relat_1 (k1_waybel34 A B C)) /\ ((v1_funct_1 (k1_waybel34 A B C)) /\ ((-. (v1_xboole_0 (k1_waybel34 A B C))) /\ ((v1_funct_2 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)) /\ ((v1_partfun1 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)) /\ ((v18_waybel_0 (k1_waybel34 A B C) B A) /\ ((v20_waybel_0 (k1_waybel34 A B C) B A) /\ ((v22_waybel_0 (k1_waybel34 A B C) B A) /\ ((v5_waybel_1 (k1_waybel34 A B C) A B) /\ (v5_orders_3 (k1_waybel34 A B C) 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) /\ (l1_orders_2 B))))))) => (All C, (((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 B) (u1_struct_0 A)) /\ ((v18_waybel_0 C B A) /\ (m2_relset_1 C (u1_struct_0 B) (u1_struct_0 A))))) => ((v3_waybel34 C B A) <=> ((v1_funct_1 (k8_relset_1 (u1_struct_0 B) (u1_struct_0 A) C (u1_struct_0 (k1_waybel_8 B)))) /\ ((v1_funct_2 (k8_relset_1 (u1_struct_0 B) (u1_struct_0 A) C (u1_struct_0 (k1_waybel_8 B))) (u1_struct_0 (k1_waybel_8 B)) (u1_struct_0 (k1_waybel_8 A))) /\ ((v4_waybel34 (k8_relset_1 (u1_struct_0 B) (u1_struct_0 A) C (u1_struct_0 (k1_waybel_8 B))) (k1_waybel_8 B) (k1_waybel_8 A)) /\ (m2_relset_1 (k8_relset_1 (u1_struct_0 B) (u1_struct_0 A) C (u1_struct_0 (k1_waybel_8 B))) (u1_struct_0 (k1_waybel_8 B)) (u1_struct_0 (k1_waybel_8 A))))))))))))) ((v1_funct_1 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 (k1_waybel_8 T_1)))) /\ ((v1_funct_2 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 (k1_waybel_8 T_1))) (u1_struct_0 (k1_waybel_8 T_1)) (u1_struct_0 (k1_waybel_8 T_0))) /\ ((v4_waybel34 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 (k1_waybel_8 T_1))) (k1_waybel_8 T_1) (k1_waybel_8 T_0)) /\ (m2_relset_1 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 (k1_waybel_8 T_1))) (u1_struct_0 (k1_waybel_8 T_1)) (u1_struct_0 (k1_waybel_8 T_0)))))) (-. (v22_waybel_0 T_2 T_0 T_1)) ### All 171
% 3.30/3.55 173. (v2_orders_2 T_0) (-. (v2_orders_2 T_0)) ### Axiom
% 3.30/3.55 174. (v3_orders_2 T_0) (-. (v3_orders_2 T_0)) ### Axiom
% 3.30/3.55 175. (v4_orders_2 T_0) (-. (v4_orders_2 T_0)) ### Axiom
% 3.30/3.55 176. (v1_lattice3 T_0) (-. (v1_lattice3 T_0)) ### Axiom
% 3.30/3.55 177. (v2_lattice3 T_0) (-. (v2_lattice3 T_0)) ### Axiom
% 3.30/3.55 178. (v3_lattice3 T_0) (-. (v3_lattice3 T_0)) ### Axiom
% 3.30/3.55 179. (l1_orders_2 T_0) (-. (l1_orders_2 T_0)) ### Axiom
% 3.30/3.55 180. (v2_orders_2 T_1) (-. (v2_orders_2 T_1)) ### Axiom
% 3.30/3.55 181. (v3_orders_2 T_1) (-. (v3_orders_2 T_1)) ### Axiom
% 3.30/3.55 182. (v4_orders_2 T_1) (-. (v4_orders_2 T_1)) ### Axiom
% 3.30/3.55 183. (v1_lattice3 T_1) (-. (v1_lattice3 T_1)) ### Axiom
% 3.30/3.55 184. (v2_lattice3 T_1) (-. (v2_lattice3 T_1)) ### Axiom
% 3.30/3.55 185. (v3_lattice3 T_1) (-. (v3_lattice3 T_1)) ### Axiom
% 3.30/3.55 186. (l1_orders_2 T_1) (-. (l1_orders_2 T_1)) ### Axiom
% 3.30/3.55 187. (v2_orders_2 T_0) (-. (v2_orders_2 T_0)) ### Axiom
% 3.30/3.55 188. (v3_orders_2 T_0) (-. (v3_orders_2 T_0)) ### Axiom
% 3.30/3.55 189. (v4_orders_2 T_0) (-. (v4_orders_2 T_0)) ### Axiom
% 3.30/3.55 190. (v1_lattice3 T_0) (-. (v1_lattice3 T_0)) ### Axiom
% 3.30/3.55 191. (v2_lattice3 T_0) (-. (v2_lattice3 T_0)) ### Axiom
% 3.30/3.55 192. (v3_lattice3 T_0) (-. (v3_lattice3 T_0)) ### Axiom
% 3.30/3.55 193. (l1_orders_2 T_0) (-. (l1_orders_2 T_0)) ### Axiom
% 3.30/3.55 194. (v2_orders_2 T_1) (-. (v2_orders_2 T_1)) ### Axiom
% 3.30/3.55 195. (v3_orders_2 T_1) (-. (v3_orders_2 T_1)) ### Axiom
% 3.30/3.55 196. (v4_orders_2 T_1) (-. (v4_orders_2 T_1)) ### Axiom
% 3.30/3.55 197. (v1_lattice3 T_1) (-. (v1_lattice3 T_1)) ### Axiom
% 3.30/3.55 198. (v2_lattice3 T_1) (-. (v2_lattice3 T_1)) ### Axiom
% 3.30/3.55 199. (v3_lattice3 T_1) (-. (v3_lattice3 T_1)) ### Axiom
% 3.30/3.55 200. (l1_orders_2 T_1) (-. (l1_orders_2 T_1)) ### Axiom
% 3.30/3.55 201. (v2_orders_2 T_0) (-. (v2_orders_2 T_0)) ### Axiom
% 3.30/3.55 202. (v3_orders_2 T_0) (-. (v3_orders_2 T_0)) ### Axiom
% 3.30/3.55 203. (v4_orders_2 T_0) (-. (v4_orders_2 T_0)) ### Axiom
% 3.30/3.55 204. (v1_lattice3 T_0) (-. (v1_lattice3 T_0)) ### Axiom
% 3.30/3.55 205. (v2_lattice3 T_0) (-. (v2_lattice3 T_0)) ### Axiom
% 3.30/3.55 206. (v3_lattice3 T_0) (-. (v3_lattice3 T_0)) ### Axiom
% 3.30/3.55 207. (l1_orders_2 T_0) (-. (l1_orders_2 T_0)) ### Axiom
% 3.30/3.55 208. (v2_orders_2 T_1) (-. (v2_orders_2 T_1)) ### Axiom
% 3.30/3.55 209. (v3_orders_2 T_1) (-. (v3_orders_2 T_1)) ### Axiom
% 3.30/3.55 210. (v4_orders_2 T_1) (-. (v4_orders_2 T_1)) ### Axiom
% 3.30/3.55 211. (v1_lattice3 T_1) (-. (v1_lattice3 T_1)) ### Axiom
% 3.30/3.55 212. (v2_lattice3 T_1) (-. (v2_lattice3 T_1)) ### Axiom
% 3.30/3.55 213. (v3_lattice3 T_1) (-. (v3_lattice3 T_1)) ### Axiom
% 3.30/3.55 214. (l1_orders_2 T_1) (-. (l1_orders_2 T_1)) ### Axiom
% 3.30/3.55 215. (v1_funct_1 T_2) (-. (v1_funct_1 T_2)) ### Axiom
% 3.30/3.55 216. (v1_funct_2 T_2 (u1_struct_0 T_0) (u1_struct_0 T_1)) (-. (v1_funct_2 T_2 (u1_struct_0 T_0) (u1_struct_0 T_1))) ### Axiom
% 3.30/3.55 217. (v17_waybel_0 T_2 T_0 T_1) (-. (v17_waybel_0 T_2 T_0 T_1)) ### Axiom
% 3.30/3.55 218. (v22_waybel_0 T_2 T_0 T_1) (-. (v22_waybel_0 T_2 T_0 T_1)) ### Axiom
% 3.30/3.55 219. (-. (v1_waybel34 (k1_waybel34 T_0 T_1 T_2) T_1 T_0)) (v1_waybel34 (k1_waybel34 T_0 T_1 T_2) T_1 T_0) ### Axiom
% 3.30/3.55 220. (((v1_funct_1 T_2) /\ ((v1_funct_2 T_2 (u1_struct_0 T_0) (u1_struct_0 T_1)) /\ ((v17_waybel_0 T_2 T_0 T_1) /\ (m2_relset_1 T_2 (u1_struct_0 T_0) (u1_struct_0 T_1))))) => ((v22_waybel_0 T_2 T_0 T_1) => (v1_waybel34 (k1_waybel34 T_0 T_1 T_2) T_1 T_0))) (-. (v1_waybel34 (k1_waybel34 T_0 T_1 T_2) T_1 T_0)) (v22_waybel_0 T_2 T_0 T_1) (m1_relset_1 T_2 (u1_struct_0 T_0) (u1_struct_0 T_1)) (v17_waybel_0 T_2 T_0 T_1) (v1_funct_2 T_2 (u1_struct_0 T_0) (u1_struct_0 T_1)) (v1_funct_1 T_2) ### DisjTree 215 216 217 31 218 219
% 3.30/3.55 221. (All C, (((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 T_0) (u1_struct_0 T_1)) /\ ((v17_waybel_0 C T_0 T_1) /\ (m2_relset_1 C (u1_struct_0 T_0) (u1_struct_0 T_1))))) => ((v22_waybel_0 C T_0 T_1) => (v1_waybel34 (k1_waybel34 T_0 T_1 C) T_1 T_0)))) (v1_funct_1 T_2) (v1_funct_2 T_2 (u1_struct_0 T_0) (u1_struct_0 T_1)) (v17_waybel_0 T_2 T_0 T_1) (m1_relset_1 T_2 (u1_struct_0 T_0) (u1_struct_0 T_1)) (v22_waybel_0 T_2 T_0 T_1) (-. (v1_waybel34 (k1_waybel34 T_0 T_1 T_2) T_1 T_0)) ### All 220
% 3.40/3.58 222. (((v2_orders_2 T_1) /\ ((v3_orders_2 T_1) /\ ((v4_orders_2 T_1) /\ ((v1_lattice3 T_1) /\ ((v2_lattice3 T_1) /\ ((v3_lattice3 T_1) /\ (l1_orders_2 T_1))))))) => (All C, (((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 T_0) (u1_struct_0 T_1)) /\ ((v17_waybel_0 C T_0 T_1) /\ (m2_relset_1 C (u1_struct_0 T_0) (u1_struct_0 T_1))))) => ((v22_waybel_0 C T_0 T_1) => (v1_waybel34 (k1_waybel34 T_0 T_1 C) T_1 T_0))))) (-. (v1_waybel34 (k1_waybel34 T_0 T_1 T_2) T_1 T_0)) (v22_waybel_0 T_2 T_0 T_1) (m1_relset_1 T_2 (u1_struct_0 T_0) (u1_struct_0 T_1)) (v17_waybel_0 T_2 T_0 T_1) (v1_funct_2 T_2 (u1_struct_0 T_0) (u1_struct_0 T_1)) (v1_funct_1 T_2) (l1_orders_2 T_1) (v3_lattice3 T_1) (v2_lattice3 T_1) (v1_lattice3 T_1) (v4_orders_2 T_1) (v3_orders_2 T_1) (v2_orders_2 T_1) ### DisjTree 208 209 210 211 212 213 214 221
% 3.40/3.58 223. (All B, (((v2_orders_2 B) /\ ((v3_orders_2 B) /\ ((v4_orders_2 B) /\ ((v1_lattice3 B) /\ ((v2_lattice3 B) /\ ((v3_lattice3 B) /\ (l1_orders_2 B))))))) => (All C, (((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 T_0) (u1_struct_0 B)) /\ ((v17_waybel_0 C T_0 B) /\ (m2_relset_1 C (u1_struct_0 T_0) (u1_struct_0 B))))) => ((v22_waybel_0 C T_0 B) => (v1_waybel34 (k1_waybel34 T_0 B C) B T_0)))))) (v2_orders_2 T_1) (v3_orders_2 T_1) (v4_orders_2 T_1) (v1_lattice3 T_1) (v2_lattice3 T_1) (v3_lattice3 T_1) (l1_orders_2 T_1) (v1_funct_1 T_2) (v1_funct_2 T_2 (u1_struct_0 T_0) (u1_struct_0 T_1)) (v17_waybel_0 T_2 T_0 T_1) (m1_relset_1 T_2 (u1_struct_0 T_0) (u1_struct_0 T_1)) (v22_waybel_0 T_2 T_0 T_1) (-. (v1_waybel34 (k1_waybel34 T_0 T_1 T_2) T_1 T_0)) ### All 222
% 3.40/3.58 224. (((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, (((v2_orders_2 B) /\ ((v3_orders_2 B) /\ ((v4_orders_2 B) /\ ((v1_lattice3 B) /\ ((v2_lattice3 B) /\ ((v3_lattice3 B) /\ (l1_orders_2 B))))))) => (All C, (((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 T_0) (u1_struct_0 B)) /\ ((v17_waybel_0 C T_0 B) /\ (m2_relset_1 C (u1_struct_0 T_0) (u1_struct_0 B))))) => ((v22_waybel_0 C T_0 B) => (v1_waybel34 (k1_waybel34 T_0 B C) B T_0))))))) (-. (v1_waybel34 (k1_waybel34 T_0 T_1 T_2) T_1 T_0)) (v22_waybel_0 T_2 T_0 T_1) (m1_relset_1 T_2 (u1_struct_0 T_0) (u1_struct_0 T_1)) (v17_waybel_0 T_2 T_0 T_1) (v1_funct_2 T_2 (u1_struct_0 T_0) (u1_struct_0 T_1)) (v1_funct_1 T_2) (l1_orders_2 T_1) (v3_lattice3 T_1) (v2_lattice3 T_1) (v1_lattice3 T_1) (v4_orders_2 T_1) (v3_orders_2 T_1) (v2_orders_2 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 201 202 203 204 205 206 207 223
% 3.40/3.58 225. (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) /\ (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))))) => ((v22_waybel_0 C A B) => (v1_waybel34 (k1_waybel34 A B C) 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) (v2_orders_2 T_1) (v3_orders_2 T_1) (v4_orders_2 T_1) (v1_lattice3 T_1) (v2_lattice3 T_1) (v3_lattice3 T_1) (l1_orders_2 T_1) (v1_funct_1 T_2) (v1_funct_2 T_2 (u1_struct_0 T_0) (u1_struct_0 T_1)) (v17_waybel_0 T_2 T_0 T_1) (m1_relset_1 T_2 (u1_struct_0 T_0) (u1_struct_0 T_1)) (v22_waybel_0 T_2 T_0 T_1) (-. (v1_waybel34 (k1_waybel34 T_0 T_1 T_2) T_1 T_0)) ### All 224
% 3.40/3.58 226. (-. (v3_waybel34 (k1_waybel34 T_0 T_1 T_2) T_1 T_0)) (v3_waybel34 (k1_waybel34 T_0 T_1 T_2) T_1 T_0) ### Axiom
% 3.40/3.58 227. (((v1_funct_1 (k1_waybel34 T_0 T_1 T_2)) /\ ((v1_funct_2 (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 T_1) (u1_struct_0 T_0)) /\ ((v18_waybel_0 (k1_waybel34 T_0 T_1 T_2) T_1 T_0) /\ (m2_relset_1 (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 T_1) (u1_struct_0 T_0))))) => ((v1_waybel34 (k1_waybel34 T_0 T_1 T_2) T_1 T_0) => (v3_waybel34 (k1_waybel34 T_0 T_1 T_2) T_1 T_0))) (-. (v3_waybel34 (k1_waybel34 T_0 T_1 T_2) T_1 T_0)) (v22_waybel_0 T_2 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) /\ (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))))) => ((v22_waybel_0 C A B) => (v1_waybel34 (k1_waybel34 A B C) B A)))))))) (v17_waybel_0 T_2 T_0 T_1) (v3_lattice3 T_1) (v3_lattice3 T_0) (All A, (All B, (All C, (((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) /\ ((v2_orders_2 B) /\ ((v3_orders_2 B) /\ ((v4_orders_2 B) /\ ((v1_lattice3 B) /\ ((v2_lattice3 B) /\ ((v3_lattice3 B) /\ ((l1_orders_2 B) /\ ((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 A) (u1_struct_0 B)) /\ ((v17_waybel_0 C A B) /\ (m1_relset_1 C (u1_struct_0 A) (u1_struct_0 B))))))))))))))))))) => ((v1_relat_1 (k1_waybel34 A B C)) /\ ((v1_funct_1 (k1_waybel34 A B C)) /\ ((-. (v1_xboole_0 (k1_waybel34 A B C))) /\ ((v1_funct_2 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)) /\ ((v1_partfun1 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)) /\ ((v18_waybel_0 (k1_waybel34 A B C) B A) /\ ((v20_waybel_0 (k1_waybel34 A B C) B A) /\ ((v22_waybel_0 (k1_waybel34 A B C) B A) /\ ((v5_waybel_1 (k1_waybel34 A B C) A B) /\ (v5_orders_3 (k1_waybel34 A B C) B A)))))))))))))) (m1_relset_1 T_2 (u1_struct_0 T_0) (u1_struct_0 T_1)) (v1_funct_2 T_2 (u1_struct_0 T_0) (u1_struct_0 T_1)) (v1_funct_1 T_2) (l1_orders_2 T_1) (v2_lattice3 T_1) (v1_lattice3 T_1) (v4_orders_2 T_1) (v3_orders_2 T_1) (v2_orders_2 T_1) (l1_orders_2 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, (All B, (All C, (((v2_orders_2 A) /\ ((v3_orders_2 A) /\ ((v4_orders_2 A) /\ ((v1_lattice3 A) /\ ((v2_lattice3 A) /\ ((l1_orders_2 A) /\ ((v2_orders_2 B) /\ ((v3_orders_2 B) /\ ((v4_orders_2 B) /\ ((v1_lattice3 B) /\ ((v2_lattice3 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 (k1_waybel34 A B C)) /\ ((v1_funct_2 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)) /\ (m2_relset_1 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)))))))) ### DisjTree 66 87 111 134 225 226
% 3.40/3.58 228. (All C, (((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 T_1) (u1_struct_0 T_0)) /\ ((v18_waybel_0 C T_1 T_0) /\ (m2_relset_1 C (u1_struct_0 T_1) (u1_struct_0 T_0))))) => ((v1_waybel34 C T_1 T_0) => (v3_waybel34 C T_1 T_0)))) (All A, (All B, (All C, (((v2_orders_2 A) /\ ((v3_orders_2 A) /\ ((v4_orders_2 A) /\ ((v1_lattice3 A) /\ ((v2_lattice3 A) /\ ((l1_orders_2 A) /\ ((v2_orders_2 B) /\ ((v3_orders_2 B) /\ ((v4_orders_2 B) /\ ((v1_lattice3 B) /\ ((v2_lattice3 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 (k1_waybel34 A B C)) /\ ((v1_funct_2 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)) /\ (m2_relset_1 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)))))))) (v2_orders_2 T_0) (v3_orders_2 T_0) (v4_orders_2 T_0) (v1_lattice3 T_0) (v2_lattice3 T_0) (l1_orders_2 T_0) (v2_orders_2 T_1) (v3_orders_2 T_1) (v4_orders_2 T_1) (v1_lattice3 T_1) (v2_lattice3 T_1) (l1_orders_2 T_1) (v1_funct_1 T_2) (v1_funct_2 T_2 (u1_struct_0 T_0) (u1_struct_0 T_1)) (m1_relset_1 T_2 (u1_struct_0 T_0) (u1_struct_0 T_1)) (All A, (All B, (All C, (((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) /\ ((v2_orders_2 B) /\ ((v3_orders_2 B) /\ ((v4_orders_2 B) /\ ((v1_lattice3 B) /\ ((v2_lattice3 B) /\ ((v3_lattice3 B) /\ ((l1_orders_2 B) /\ ((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 A) (u1_struct_0 B)) /\ ((v17_waybel_0 C A B) /\ (m1_relset_1 C (u1_struct_0 A) (u1_struct_0 B))))))))))))))))))) => ((v1_relat_1 (k1_waybel34 A B C)) /\ ((v1_funct_1 (k1_waybel34 A B C)) /\ ((-. (v1_xboole_0 (k1_waybel34 A B C))) /\ ((v1_funct_2 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)) /\ ((v1_partfun1 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)) /\ ((v18_waybel_0 (k1_waybel34 A B C) B A) /\ ((v20_waybel_0 (k1_waybel34 A B C) B A) /\ ((v22_waybel_0 (k1_waybel34 A B C) B A) /\ ((v5_waybel_1 (k1_waybel34 A B C) A B) /\ (v5_orders_3 (k1_waybel34 A B C) B A)))))))))))))) (v3_lattice3 T_0) (v3_lattice3 T_1) (v17_waybel_0 T_2 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) /\ (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))))) => ((v22_waybel_0 C A B) => (v1_waybel34 (k1_waybel34 A B C) B A)))))))) (v22_waybel_0 T_2 T_0 T_1) (-. (v3_waybel34 (k1_waybel34 T_0 T_1 T_2) T_1 T_0)) ### All 227
% 3.42/3.59 229. (((v2_orders_2 T_1) /\ ((v3_orders_2 T_1) /\ ((v4_orders_2 T_1) /\ ((v1_lattice3 T_1) /\ ((v2_lattice3 T_1) /\ ((v3_lattice3 T_1) /\ (l1_orders_2 T_1))))))) => (All C, (((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 T_1) (u1_struct_0 T_0)) /\ ((v18_waybel_0 C T_1 T_0) /\ (m2_relset_1 C (u1_struct_0 T_1) (u1_struct_0 T_0))))) => ((v1_waybel34 C T_1 T_0) => (v3_waybel34 C T_1 T_0))))) (-. (v3_waybel34 (k1_waybel34 T_0 T_1 T_2) T_1 T_0)) (v22_waybel_0 T_2 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) /\ (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))))) => ((v22_waybel_0 C A B) => (v1_waybel34 (k1_waybel34 A B C) B A)))))))) (v17_waybel_0 T_2 T_0 T_1) (v3_lattice3 T_0) (All A, (All B, (All C, (((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) /\ ((v2_orders_2 B) /\ ((v3_orders_2 B) /\ ((v4_orders_2 B) /\ ((v1_lattice3 B) /\ ((v2_lattice3 B) /\ ((v3_lattice3 B) /\ ((l1_orders_2 B) /\ ((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 A) (u1_struct_0 B)) /\ ((v17_waybel_0 C A B) /\ (m1_relset_1 C (u1_struct_0 A) (u1_struct_0 B))))))))))))))))))) => ((v1_relat_1 (k1_waybel34 A B C)) /\ ((v1_funct_1 (k1_waybel34 A B C)) /\ ((-. (v1_xboole_0 (k1_waybel34 A B C))) /\ ((v1_funct_2 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)) /\ ((v1_partfun1 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)) /\ ((v18_waybel_0 (k1_waybel34 A B C) B A) /\ ((v20_waybel_0 (k1_waybel34 A B C) B A) /\ ((v22_waybel_0 (k1_waybel34 A B C) B A) /\ ((v5_waybel_1 (k1_waybel34 A B C) A B) /\ (v5_orders_3 (k1_waybel34 A B C) B A)))))))))))))) (m1_relset_1 T_2 (u1_struct_0 T_0) (u1_struct_0 T_1)) (v1_funct_2 T_2 (u1_struct_0 T_0) (u1_struct_0 T_1)) (v1_funct_1 T_2) (l1_orders_2 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, (All B, (All C, (((v2_orders_2 A) /\ ((v3_orders_2 A) /\ ((v4_orders_2 A) /\ ((v1_lattice3 A) /\ ((v2_lattice3 A) /\ ((l1_orders_2 A) /\ ((v2_orders_2 B) /\ ((v3_orders_2 B) /\ ((v4_orders_2 B) /\ ((v1_lattice3 B) /\ ((v2_lattice3 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 (k1_waybel34 A B C)) /\ ((v1_funct_2 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)) /\ (m2_relset_1 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)))))))) (l1_orders_2 T_1) (v3_lattice3 T_1) (v2_lattice3 T_1) (v1_lattice3 T_1) (v4_orders_2 T_1) (v3_orders_2 T_1) (v2_orders_2 T_1) ### DisjTree 194 195 196 197 198 199 200 228
% 3.42/3.59 230. (All B, (((v2_orders_2 B) /\ ((v3_orders_2 B) /\ ((v4_orders_2 B) /\ ((v1_lattice3 B) /\ ((v2_lattice3 B) /\ ((v3_lattice3 B) /\ (l1_orders_2 B))))))) => (All C, (((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 B) (u1_struct_0 T_0)) /\ ((v18_waybel_0 C B T_0) /\ (m2_relset_1 C (u1_struct_0 B) (u1_struct_0 T_0))))) => ((v1_waybel34 C B T_0) => (v3_waybel34 C B T_0)))))) (v2_orders_2 T_1) (v3_orders_2 T_1) (v4_orders_2 T_1) (v1_lattice3 T_1) (v2_lattice3 T_1) (v3_lattice3 T_1) (l1_orders_2 T_1) (All A, (All B, (All C, (((v2_orders_2 A) /\ ((v3_orders_2 A) /\ ((v4_orders_2 A) /\ ((v1_lattice3 A) /\ ((v2_lattice3 A) /\ ((l1_orders_2 A) /\ ((v2_orders_2 B) /\ ((v3_orders_2 B) /\ ((v4_orders_2 B) /\ ((v1_lattice3 B) /\ ((v2_lattice3 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 (k1_waybel34 A B C)) /\ ((v1_funct_2 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)) /\ (m2_relset_1 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)))))))) (v2_orders_2 T_0) (v3_orders_2 T_0) (v4_orders_2 T_0) (v1_lattice3 T_0) (v2_lattice3 T_0) (l1_orders_2 T_0) (v1_funct_1 T_2) (v1_funct_2 T_2 (u1_struct_0 T_0) (u1_struct_0 T_1)) (m1_relset_1 T_2 (u1_struct_0 T_0) (u1_struct_0 T_1)) (All A, (All B, (All C, (((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) /\ ((v2_orders_2 B) /\ ((v3_orders_2 B) /\ ((v4_orders_2 B) /\ ((v1_lattice3 B) /\ ((v2_lattice3 B) /\ ((v3_lattice3 B) /\ ((l1_orders_2 B) /\ ((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 A) (u1_struct_0 B)) /\ ((v17_waybel_0 C A B) /\ (m1_relset_1 C (u1_struct_0 A) (u1_struct_0 B))))))))))))))))))) => ((v1_relat_1 (k1_waybel34 A B C)) /\ ((v1_funct_1 (k1_waybel34 A B C)) /\ ((-. (v1_xboole_0 (k1_waybel34 A B C))) /\ ((v1_funct_2 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)) /\ ((v1_partfun1 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)) /\ ((v18_waybel_0 (k1_waybel34 A B C) B A) /\ ((v20_waybel_0 (k1_waybel34 A B C) B A) /\ ((v22_waybel_0 (k1_waybel34 A B C) B A) /\ ((v5_waybel_1 (k1_waybel34 A B C) A B) /\ (v5_orders_3 (k1_waybel34 A B C) B A)))))))))))))) (v3_lattice3 T_0) (v17_waybel_0 T_2 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) /\ (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))))) => ((v22_waybel_0 C A B) => (v1_waybel34 (k1_waybel34 A B C) B A)))))))) (v22_waybel_0 T_2 T_0 T_1) (-. (v3_waybel34 (k1_waybel34 T_0 T_1 T_2) T_1 T_0)) ### All 229
% 3.42/3.59 231. (((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, (((v2_orders_2 B) /\ ((v3_orders_2 B) /\ ((v4_orders_2 B) /\ ((v1_lattice3 B) /\ ((v2_lattice3 B) /\ ((v3_lattice3 B) /\ (l1_orders_2 B))))))) => (All C, (((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 B) (u1_struct_0 T_0)) /\ ((v18_waybel_0 C B T_0) /\ (m2_relset_1 C (u1_struct_0 B) (u1_struct_0 T_0))))) => ((v1_waybel34 C B T_0) => (v3_waybel34 C B T_0))))))) (-. (v3_waybel34 (k1_waybel34 T_0 T_1 T_2) T_1 T_0)) (v22_waybel_0 T_2 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) /\ (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))))) => ((v22_waybel_0 C A B) => (v1_waybel34 (k1_waybel34 A B C) B A)))))))) (v17_waybel_0 T_2 T_0 T_1) (All A, (All B, (All C, (((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) /\ ((v2_orders_2 B) /\ ((v3_orders_2 B) /\ ((v4_orders_2 B) /\ ((v1_lattice3 B) /\ ((v2_lattice3 B) /\ ((v3_lattice3 B) /\ ((l1_orders_2 B) /\ ((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 A) (u1_struct_0 B)) /\ ((v17_waybel_0 C A B) /\ (m1_relset_1 C (u1_struct_0 A) (u1_struct_0 B))))))))))))))))))) => ((v1_relat_1 (k1_waybel34 A B C)) /\ ((v1_funct_1 (k1_waybel34 A B C)) /\ ((-. (v1_xboole_0 (k1_waybel34 A B C))) /\ ((v1_funct_2 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)) /\ ((v1_partfun1 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)) /\ ((v18_waybel_0 (k1_waybel34 A B C) B A) /\ ((v20_waybel_0 (k1_waybel34 A B C) B A) /\ ((v22_waybel_0 (k1_waybel34 A B C) B A) /\ ((v5_waybel_1 (k1_waybel34 A B C) A B) /\ (v5_orders_3 (k1_waybel34 A B C) B A)))))))))))))) (m1_relset_1 T_2 (u1_struct_0 T_0) (u1_struct_0 T_1)) (v1_funct_2 T_2 (u1_struct_0 T_0) (u1_struct_0 T_1)) (v1_funct_1 T_2) (All A, (All B, (All C, (((v2_orders_2 A) /\ ((v3_orders_2 A) /\ ((v4_orders_2 A) /\ ((v1_lattice3 A) /\ ((v2_lattice3 A) /\ ((l1_orders_2 A) /\ ((v2_orders_2 B) /\ ((v3_orders_2 B) /\ ((v4_orders_2 B) /\ ((v1_lattice3 B) /\ ((v2_lattice3 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 (k1_waybel34 A B C)) /\ ((v1_funct_2 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)) /\ (m2_relset_1 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)))))))) (l1_orders_2 T_1) (v3_lattice3 T_1) (v2_lattice3 T_1) (v1_lattice3 T_1) (v4_orders_2 T_1) (v3_orders_2 T_1) (v2_orders_2 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 187 188 189 190 191 192 193 230
% 3.42/3.60 232. (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) /\ (l1_orders_2 B))))))) => (All C, (((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 B) (u1_struct_0 A)) /\ ((v18_waybel_0 C B A) /\ (m2_relset_1 C (u1_struct_0 B) (u1_struct_0 A))))) => ((v1_waybel34 C B A) => (v3_waybel34 C 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) (v2_orders_2 T_1) (v3_orders_2 T_1) (v4_orders_2 T_1) (v1_lattice3 T_1) (v2_lattice3 T_1) (v3_lattice3 T_1) (l1_orders_2 T_1) (All A, (All B, (All C, (((v2_orders_2 A) /\ ((v3_orders_2 A) /\ ((v4_orders_2 A) /\ ((v1_lattice3 A) /\ ((v2_lattice3 A) /\ ((l1_orders_2 A) /\ ((v2_orders_2 B) /\ ((v3_orders_2 B) /\ ((v4_orders_2 B) /\ ((v1_lattice3 B) /\ ((v2_lattice3 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 (k1_waybel34 A B C)) /\ ((v1_funct_2 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)) /\ (m2_relset_1 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)))))))) (v1_funct_1 T_2) (v1_funct_2 T_2 (u1_struct_0 T_0) (u1_struct_0 T_1)) (m1_relset_1 T_2 (u1_struct_0 T_0) (u1_struct_0 T_1)) (All A, (All B, (All C, (((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) /\ ((v2_orders_2 B) /\ ((v3_orders_2 B) /\ ((v4_orders_2 B) /\ ((v1_lattice3 B) /\ ((v2_lattice3 B) /\ ((v3_lattice3 B) /\ ((l1_orders_2 B) /\ ((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 A) (u1_struct_0 B)) /\ ((v17_waybel_0 C A B) /\ (m1_relset_1 C (u1_struct_0 A) (u1_struct_0 B))))))))))))))))))) => ((v1_relat_1 (k1_waybel34 A B C)) /\ ((v1_funct_1 (k1_waybel34 A B C)) /\ ((-. (v1_xboole_0 (k1_waybel34 A B C))) /\ ((v1_funct_2 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)) /\ ((v1_partfun1 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)) /\ ((v18_waybel_0 (k1_waybel34 A B C) B A) /\ ((v20_waybel_0 (k1_waybel34 A B C) B A) /\ ((v22_waybel_0 (k1_waybel34 A B C) B A) /\ ((v5_waybel_1 (k1_waybel34 A B C) A B) /\ (v5_orders_3 (k1_waybel34 A B C) B A)))))))))))))) (v17_waybel_0 T_2 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) /\ (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))))) => ((v22_waybel_0 C A B) => (v1_waybel34 (k1_waybel34 A B C) B A)))))))) (v22_waybel_0 T_2 T_0 T_1) (-. (v3_waybel34 (k1_waybel34 T_0 T_1 T_2) T_1 T_0)) ### All 231
% 3.42/3.60 233. (-. (v1_funct_1 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 (k1_waybel_8 T_1))))) (v1_funct_1 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 (k1_waybel_8 T_1)))) ### Axiom
% 3.42/3.60 234. ((v1_funct_1 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 (k1_waybel_8 T_1)))) /\ ((v1_funct_2 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 (k1_waybel_8 T_1))) (u1_struct_0 (k1_waybel_8 T_1)) (u1_struct_0 (k1_waybel_8 T_0))) /\ ((v4_waybel34 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 (k1_waybel_8 T_1))) (k1_waybel_8 T_1) (k1_waybel_8 T_0)) /\ (m2_relset_1 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 (k1_waybel_8 T_1))) (u1_struct_0 (k1_waybel_8 T_1)) (u1_struct_0 (k1_waybel_8 T_0)))))) (-. (v1_funct_1 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 (k1_waybel_8 T_1))))) ### ConjTree 233
% 3.42/3.60 235. ((v3_waybel34 (k1_waybel34 T_0 T_1 T_2) T_1 T_0) <=> ((v1_funct_1 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 (k1_waybel_8 T_1)))) /\ ((v1_funct_2 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 (k1_waybel_8 T_1))) (u1_struct_0 (k1_waybel_8 T_1)) (u1_struct_0 (k1_waybel_8 T_0))) /\ ((v4_waybel34 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 (k1_waybel_8 T_1))) (k1_waybel_8 T_1) (k1_waybel_8 T_0)) /\ (m2_relset_1 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 (k1_waybel_8 T_1))) (u1_struct_0 (k1_waybel_8 T_1)) (u1_struct_0 (k1_waybel_8 T_0))))))) (-. (v1_funct_1 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 (k1_waybel_8 T_1))))) (v22_waybel_0 T_2 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) /\ (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))))) => ((v22_waybel_0 C A B) => (v1_waybel34 (k1_waybel34 A B C) B A)))))))) (v17_waybel_0 T_2 T_0 T_1) (All A, (All B, (All C, (((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) /\ ((v2_orders_2 B) /\ ((v3_orders_2 B) /\ ((v4_orders_2 B) /\ ((v1_lattice3 B) /\ ((v2_lattice3 B) /\ ((v3_lattice3 B) /\ ((l1_orders_2 B) /\ ((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 A) (u1_struct_0 B)) /\ ((v17_waybel_0 C A B) /\ (m1_relset_1 C (u1_struct_0 A) (u1_struct_0 B))))))))))))))))))) => ((v1_relat_1 (k1_waybel34 A B C)) /\ ((v1_funct_1 (k1_waybel34 A B C)) /\ ((-. (v1_xboole_0 (k1_waybel34 A B C))) /\ ((v1_funct_2 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)) /\ ((v1_partfun1 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)) /\ ((v18_waybel_0 (k1_waybel34 A B C) B A) /\ ((v20_waybel_0 (k1_waybel34 A B C) B A) /\ ((v22_waybel_0 (k1_waybel34 A B C) B A) /\ ((v5_waybel_1 (k1_waybel34 A B C) A B) /\ (v5_orders_3 (k1_waybel34 A B C) B A)))))))))))))) (m1_relset_1 T_2 (u1_struct_0 T_0) (u1_struct_0 T_1)) (v1_funct_2 T_2 (u1_struct_0 T_0) (u1_struct_0 T_1)) (v1_funct_1 T_2) (All A, (All B, (All C, (((v2_orders_2 A) /\ ((v3_orders_2 A) /\ ((v4_orders_2 A) /\ ((v1_lattice3 A) /\ ((v2_lattice3 A) /\ ((l1_orders_2 A) /\ ((v2_orders_2 B) /\ ((v3_orders_2 B) /\ ((v4_orders_2 B) /\ ((v1_lattice3 B) /\ ((v2_lattice3 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 (k1_waybel34 A B C)) /\ ((v1_funct_2 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)) /\ (m2_relset_1 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)))))))) (l1_orders_2 T_1) (v3_lattice3 T_1) (v2_lattice3 T_1) (v1_lattice3 T_1) (v4_orders_2 T_1) (v3_orders_2 T_1) (v2_orders_2 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, (((v2_orders_2 B) /\ ((v3_orders_2 B) /\ ((v4_orders_2 B) /\ ((v1_lattice3 B) /\ ((v2_lattice3 B) /\ ((v3_lattice3 B) /\ (l1_orders_2 B))))))) => (All C, (((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 B) (u1_struct_0 A)) /\ ((v18_waybel_0 C B A) /\ (m2_relset_1 C (u1_struct_0 B) (u1_struct_0 A))))) => ((v1_waybel34 C B A) => (v3_waybel34 C B A)))))))) ### Equiv 232 234
% 3.42/3.61 236. (((v1_funct_1 (k1_waybel34 T_0 T_1 T_2)) /\ ((v1_funct_2 (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 T_1) (u1_struct_0 T_0)) /\ ((v18_waybel_0 (k1_waybel34 T_0 T_1 T_2) T_1 T_0) /\ (m2_relset_1 (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 T_1) (u1_struct_0 T_0))))) => ((v3_waybel34 (k1_waybel34 T_0 T_1 T_2) T_1 T_0) <=> ((v1_funct_1 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 (k1_waybel_8 T_1)))) /\ ((v1_funct_2 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 (k1_waybel_8 T_1))) (u1_struct_0 (k1_waybel_8 T_1)) (u1_struct_0 (k1_waybel_8 T_0))) /\ ((v4_waybel34 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 (k1_waybel_8 T_1))) (k1_waybel_8 T_1) (k1_waybel_8 T_0)) /\ (m2_relset_1 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 (k1_waybel_8 T_1))) (u1_struct_0 (k1_waybel_8 T_1)) (u1_struct_0 (k1_waybel_8 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) /\ (l1_orders_2 B))))))) => (All C, (((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 B) (u1_struct_0 A)) /\ ((v18_waybel_0 C B A) /\ (m2_relset_1 C (u1_struct_0 B) (u1_struct_0 A))))) => ((v1_waybel34 C B A) => (v3_waybel34 C 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) /\ (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))))) => ((v22_waybel_0 C A B) => (v1_waybel34 (k1_waybel34 A B C) B A)))))))) (v22_waybel_0 T_2 T_0 T_1) (-. (v1_funct_1 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 (k1_waybel_8 T_1))))) (v17_waybel_0 T_2 T_0 T_1) (v3_lattice3 T_1) (v3_lattice3 T_0) (All A, (All B, (All C, (((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) /\ ((v2_orders_2 B) /\ ((v3_orders_2 B) /\ ((v4_orders_2 B) /\ ((v1_lattice3 B) /\ ((v2_lattice3 B) /\ ((v3_lattice3 B) /\ ((l1_orders_2 B) /\ ((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 A) (u1_struct_0 B)) /\ ((v17_waybel_0 C A B) /\ (m1_relset_1 C (u1_struct_0 A) (u1_struct_0 B))))))))))))))))))) => ((v1_relat_1 (k1_waybel34 A B C)) /\ ((v1_funct_1 (k1_waybel34 A B C)) /\ ((-. (v1_xboole_0 (k1_waybel34 A B C))) /\ ((v1_funct_2 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)) /\ ((v1_partfun1 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)) /\ ((v18_waybel_0 (k1_waybel34 A B C) B A) /\ ((v20_waybel_0 (k1_waybel34 A B C) B A) /\ ((v22_waybel_0 (k1_waybel34 A B C) B A) /\ ((v5_waybel_1 (k1_waybel34 A B C) A B) /\ (v5_orders_3 (k1_waybel34 A B C) B A)))))))))))))) (m1_relset_1 T_2 (u1_struct_0 T_0) (u1_struct_0 T_1)) (v1_funct_2 T_2 (u1_struct_0 T_0) (u1_struct_0 T_1)) (v1_funct_1 T_2) (l1_orders_2 T_1) (v2_lattice3 T_1) (v1_lattice3 T_1) (v4_orders_2 T_1) (v3_orders_2 T_1) (v2_orders_2 T_1) (l1_orders_2 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, (All B, (All C, (((v2_orders_2 A) /\ ((v3_orders_2 A) /\ ((v4_orders_2 A) /\ ((v1_lattice3 A) /\ ((v2_lattice3 A) /\ ((l1_orders_2 A) /\ ((v2_orders_2 B) /\ ((v3_orders_2 B) /\ ((v4_orders_2 B) /\ ((v1_lattice3 B) /\ ((v2_lattice3 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 (k1_waybel34 A B C)) /\ ((v1_funct_2 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)) /\ (m2_relset_1 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)))))))) ### DisjTree 66 87 111 134 235
% 3.42/3.61 237. (All C, (((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 T_1) (u1_struct_0 T_0)) /\ ((v18_waybel_0 C T_1 T_0) /\ (m2_relset_1 C (u1_struct_0 T_1) (u1_struct_0 T_0))))) => ((v3_waybel34 C T_1 T_0) <=> ((v1_funct_1 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) C (u1_struct_0 (k1_waybel_8 T_1)))) /\ ((v1_funct_2 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) C (u1_struct_0 (k1_waybel_8 T_1))) (u1_struct_0 (k1_waybel_8 T_1)) (u1_struct_0 (k1_waybel_8 T_0))) /\ ((v4_waybel34 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) C (u1_struct_0 (k1_waybel_8 T_1))) (k1_waybel_8 T_1) (k1_waybel_8 T_0)) /\ (m2_relset_1 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) C (u1_struct_0 (k1_waybel_8 T_1))) (u1_struct_0 (k1_waybel_8 T_1)) (u1_struct_0 (k1_waybel_8 T_0))))))))) (All A, (All B, (All C, (((v2_orders_2 A) /\ ((v3_orders_2 A) /\ ((v4_orders_2 A) /\ ((v1_lattice3 A) /\ ((v2_lattice3 A) /\ ((l1_orders_2 A) /\ ((v2_orders_2 B) /\ ((v3_orders_2 B) /\ ((v4_orders_2 B) /\ ((v1_lattice3 B) /\ ((v2_lattice3 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 (k1_waybel34 A B C)) /\ ((v1_funct_2 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)) /\ (m2_relset_1 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)))))))) (v2_orders_2 T_0) (v3_orders_2 T_0) (v4_orders_2 T_0) (v1_lattice3 T_0) (v2_lattice3 T_0) (l1_orders_2 T_0) (v2_orders_2 T_1) (v3_orders_2 T_1) (v4_orders_2 T_1) (v1_lattice3 T_1) (v2_lattice3 T_1) (l1_orders_2 T_1) (v1_funct_1 T_2) (v1_funct_2 T_2 (u1_struct_0 T_0) (u1_struct_0 T_1)) (m1_relset_1 T_2 (u1_struct_0 T_0) (u1_struct_0 T_1)) (All A, (All B, (All C, (((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) /\ ((v2_orders_2 B) /\ ((v3_orders_2 B) /\ ((v4_orders_2 B) /\ ((v1_lattice3 B) /\ ((v2_lattice3 B) /\ ((v3_lattice3 B) /\ ((l1_orders_2 B) /\ ((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 A) (u1_struct_0 B)) /\ ((v17_waybel_0 C A B) /\ (m1_relset_1 C (u1_struct_0 A) (u1_struct_0 B))))))))))))))))))) => ((v1_relat_1 (k1_waybel34 A B C)) /\ ((v1_funct_1 (k1_waybel34 A B C)) /\ ((-. (v1_xboole_0 (k1_waybel34 A B C))) /\ ((v1_funct_2 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)) /\ ((v1_partfun1 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)) /\ ((v18_waybel_0 (k1_waybel34 A B C) B A) /\ ((v20_waybel_0 (k1_waybel34 A B C) B A) /\ ((v22_waybel_0 (k1_waybel34 A B C) B A) /\ ((v5_waybel_1 (k1_waybel34 A B C) A B) /\ (v5_orders_3 (k1_waybel34 A B C) B A)))))))))))))) (v3_lattice3 T_0) (v3_lattice3 T_1) (v17_waybel_0 T_2 T_0 T_1) (-. (v1_funct_1 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 (k1_waybel_8 T_1))))) (v22_waybel_0 T_2 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) /\ (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))))) => ((v22_waybel_0 C A B) => (v1_waybel34 (k1_waybel34 A B C) 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) /\ (l1_orders_2 B))))))) => (All C, (((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 B) (u1_struct_0 A)) /\ ((v18_waybel_0 C B A) /\ (m2_relset_1 C (u1_struct_0 B) (u1_struct_0 A))))) => ((v1_waybel34 C B A) => (v3_waybel34 C B A)))))))) ### All 236
% 3.46/3.63 238. (((v2_orders_2 T_1) /\ ((v3_orders_2 T_1) /\ ((v4_orders_2 T_1) /\ ((v1_lattice3 T_1) /\ ((v2_lattice3 T_1) /\ ((v3_lattice3 T_1) /\ (l1_orders_2 T_1))))))) => (All C, (((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 T_1) (u1_struct_0 T_0)) /\ ((v18_waybel_0 C T_1 T_0) /\ (m2_relset_1 C (u1_struct_0 T_1) (u1_struct_0 T_0))))) => ((v3_waybel34 C T_1 T_0) <=> ((v1_funct_1 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) C (u1_struct_0 (k1_waybel_8 T_1)))) /\ ((v1_funct_2 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) C (u1_struct_0 (k1_waybel_8 T_1))) (u1_struct_0 (k1_waybel_8 T_1)) (u1_struct_0 (k1_waybel_8 T_0))) /\ ((v4_waybel34 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) C (u1_struct_0 (k1_waybel_8 T_1))) (k1_waybel_8 T_1) (k1_waybel_8 T_0)) /\ (m2_relset_1 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) C (u1_struct_0 (k1_waybel_8 T_1))) (u1_struct_0 (k1_waybel_8 T_1)) (u1_struct_0 (k1_waybel_8 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) /\ (l1_orders_2 B))))))) => (All C, (((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 B) (u1_struct_0 A)) /\ ((v18_waybel_0 C B A) /\ (m2_relset_1 C (u1_struct_0 B) (u1_struct_0 A))))) => ((v1_waybel34 C B A) => (v3_waybel34 C 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) /\ (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))))) => ((v22_waybel_0 C A B) => (v1_waybel34 (k1_waybel34 A B C) B A)))))))) (v22_waybel_0 T_2 T_0 T_1) (-. (v1_funct_1 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 (k1_waybel_8 T_1))))) (v17_waybel_0 T_2 T_0 T_1) (v3_lattice3 T_0) (All A, (All B, (All C, (((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) /\ ((v2_orders_2 B) /\ ((v3_orders_2 B) /\ ((v4_orders_2 B) /\ ((v1_lattice3 B) /\ ((v2_lattice3 B) /\ ((v3_lattice3 B) /\ ((l1_orders_2 B) /\ ((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 A) (u1_struct_0 B)) /\ ((v17_waybel_0 C A B) /\ (m1_relset_1 C (u1_struct_0 A) (u1_struct_0 B))))))))))))))))))) => ((v1_relat_1 (k1_waybel34 A B C)) /\ ((v1_funct_1 (k1_waybel34 A B C)) /\ ((-. (v1_xboole_0 (k1_waybel34 A B C))) /\ ((v1_funct_2 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)) /\ ((v1_partfun1 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)) /\ ((v18_waybel_0 (k1_waybel34 A B C) B A) /\ ((v20_waybel_0 (k1_waybel34 A B C) B A) /\ ((v22_waybel_0 (k1_waybel34 A B C) B A) /\ ((v5_waybel_1 (k1_waybel34 A B C) A B) /\ (v5_orders_3 (k1_waybel34 A B C) B A)))))))))))))) (m1_relset_1 T_2 (u1_struct_0 T_0) (u1_struct_0 T_1)) (v1_funct_2 T_2 (u1_struct_0 T_0) (u1_struct_0 T_1)) (v1_funct_1 T_2) (l1_orders_2 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, (All B, (All C, (((v2_orders_2 A) /\ ((v3_orders_2 A) /\ ((v4_orders_2 A) /\ ((v1_lattice3 A) /\ ((v2_lattice3 A) /\ ((l1_orders_2 A) /\ ((v2_orders_2 B) /\ ((v3_orders_2 B) /\ ((v4_orders_2 B) /\ ((v1_lattice3 B) /\ ((v2_lattice3 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 (k1_waybel34 A B C)) /\ ((v1_funct_2 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)) /\ (m2_relset_1 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)))))))) (l1_orders_2 T_1) (v3_lattice3 T_1) (v2_lattice3 T_1) (v1_lattice3 T_1) (v4_orders_2 T_1) (v3_orders_2 T_1) (v2_orders_2 T_1) ### DisjTree 180 181 182 183 184 185 186 237
% 3.46/3.63 239. (All B, (((v2_orders_2 B) /\ ((v3_orders_2 B) /\ ((v4_orders_2 B) /\ ((v1_lattice3 B) /\ ((v2_lattice3 B) /\ ((v3_lattice3 B) /\ (l1_orders_2 B))))))) => (All C, (((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 B) (u1_struct_0 T_0)) /\ ((v18_waybel_0 C B T_0) /\ (m2_relset_1 C (u1_struct_0 B) (u1_struct_0 T_0))))) => ((v3_waybel34 C B T_0) <=> ((v1_funct_1 (k8_relset_1 (u1_struct_0 B) (u1_struct_0 T_0) C (u1_struct_0 (k1_waybel_8 B)))) /\ ((v1_funct_2 (k8_relset_1 (u1_struct_0 B) (u1_struct_0 T_0) C (u1_struct_0 (k1_waybel_8 B))) (u1_struct_0 (k1_waybel_8 B)) (u1_struct_0 (k1_waybel_8 T_0))) /\ ((v4_waybel34 (k8_relset_1 (u1_struct_0 B) (u1_struct_0 T_0) C (u1_struct_0 (k1_waybel_8 B))) (k1_waybel_8 B) (k1_waybel_8 T_0)) /\ (m2_relset_1 (k8_relset_1 (u1_struct_0 B) (u1_struct_0 T_0) C (u1_struct_0 (k1_waybel_8 B))) (u1_struct_0 (k1_waybel_8 B)) (u1_struct_0 (k1_waybel_8 T_0))))))))))) (v2_orders_2 T_1) (v3_orders_2 T_1) (v4_orders_2 T_1) (v1_lattice3 T_1) (v2_lattice3 T_1) (v3_lattice3 T_1) (l1_orders_2 T_1) (All A, (All B, (All C, (((v2_orders_2 A) /\ ((v3_orders_2 A) /\ ((v4_orders_2 A) /\ ((v1_lattice3 A) /\ ((v2_lattice3 A) /\ ((l1_orders_2 A) /\ ((v2_orders_2 B) /\ ((v3_orders_2 B) /\ ((v4_orders_2 B) /\ ((v1_lattice3 B) /\ ((v2_lattice3 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 (k1_waybel34 A B C)) /\ ((v1_funct_2 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)) /\ (m2_relset_1 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)))))))) (v2_orders_2 T_0) (v3_orders_2 T_0) (v4_orders_2 T_0) (v1_lattice3 T_0) (v2_lattice3 T_0) (l1_orders_2 T_0) (v1_funct_1 T_2) (v1_funct_2 T_2 (u1_struct_0 T_0) (u1_struct_0 T_1)) (m1_relset_1 T_2 (u1_struct_0 T_0) (u1_struct_0 T_1)) (All A, (All B, (All C, (((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) /\ ((v2_orders_2 B) /\ ((v3_orders_2 B) /\ ((v4_orders_2 B) /\ ((v1_lattice3 B) /\ ((v2_lattice3 B) /\ ((v3_lattice3 B) /\ ((l1_orders_2 B) /\ ((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 A) (u1_struct_0 B)) /\ ((v17_waybel_0 C A B) /\ (m1_relset_1 C (u1_struct_0 A) (u1_struct_0 B))))))))))))))))))) => ((v1_relat_1 (k1_waybel34 A B C)) /\ ((v1_funct_1 (k1_waybel34 A B C)) /\ ((-. (v1_xboole_0 (k1_waybel34 A B C))) /\ ((v1_funct_2 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)) /\ ((v1_partfun1 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)) /\ ((v18_waybel_0 (k1_waybel34 A B C) B A) /\ ((v20_waybel_0 (k1_waybel34 A B C) B A) /\ ((v22_waybel_0 (k1_waybel34 A B C) B A) /\ ((v5_waybel_1 (k1_waybel34 A B C) A B) /\ (v5_orders_3 (k1_waybel34 A B C) B A)))))))))))))) (v3_lattice3 T_0) (v17_waybel_0 T_2 T_0 T_1) (-. (v1_funct_1 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 (k1_waybel_8 T_1))))) (v22_waybel_0 T_2 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) /\ (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))))) => ((v22_waybel_0 C A B) => (v1_waybel34 (k1_waybel34 A B C) 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) /\ (l1_orders_2 B))))))) => (All C, (((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 B) (u1_struct_0 A)) /\ ((v18_waybel_0 C B A) /\ (m2_relset_1 C (u1_struct_0 B) (u1_struct_0 A))))) => ((v1_waybel34 C B A) => (v3_waybel34 C B A)))))))) ### All 238
% 3.48/3.64 240. (((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, (((v2_orders_2 B) /\ ((v3_orders_2 B) /\ ((v4_orders_2 B) /\ ((v1_lattice3 B) /\ ((v2_lattice3 B) /\ ((v3_lattice3 B) /\ (l1_orders_2 B))))))) => (All C, (((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 B) (u1_struct_0 T_0)) /\ ((v18_waybel_0 C B T_0) /\ (m2_relset_1 C (u1_struct_0 B) (u1_struct_0 T_0))))) => ((v3_waybel34 C B T_0) <=> ((v1_funct_1 (k8_relset_1 (u1_struct_0 B) (u1_struct_0 T_0) C (u1_struct_0 (k1_waybel_8 B)))) /\ ((v1_funct_2 (k8_relset_1 (u1_struct_0 B) (u1_struct_0 T_0) C (u1_struct_0 (k1_waybel_8 B))) (u1_struct_0 (k1_waybel_8 B)) (u1_struct_0 (k1_waybel_8 T_0))) /\ ((v4_waybel34 (k8_relset_1 (u1_struct_0 B) (u1_struct_0 T_0) C (u1_struct_0 (k1_waybel_8 B))) (k1_waybel_8 B) (k1_waybel_8 T_0)) /\ (m2_relset_1 (k8_relset_1 (u1_struct_0 B) (u1_struct_0 T_0) C (u1_struct_0 (k1_waybel_8 B))) (u1_struct_0 (k1_waybel_8 B)) (u1_struct_0 (k1_waybel_8 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) /\ (l1_orders_2 B))))))) => (All C, (((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 B) (u1_struct_0 A)) /\ ((v18_waybel_0 C B A) /\ (m2_relset_1 C (u1_struct_0 B) (u1_struct_0 A))))) => ((v1_waybel34 C B A) => (v3_waybel34 C 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) /\ (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))))) => ((v22_waybel_0 C A B) => (v1_waybel34 (k1_waybel34 A B C) B A)))))))) (v22_waybel_0 T_2 T_0 T_1) (-. (v1_funct_1 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 (k1_waybel_8 T_1))))) (v17_waybel_0 T_2 T_0 T_1) (All A, (All B, (All C, (((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) /\ ((v2_orders_2 B) /\ ((v3_orders_2 B) /\ ((v4_orders_2 B) /\ ((v1_lattice3 B) /\ ((v2_lattice3 B) /\ ((v3_lattice3 B) /\ ((l1_orders_2 B) /\ ((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 A) (u1_struct_0 B)) /\ ((v17_waybel_0 C A B) /\ (m1_relset_1 C (u1_struct_0 A) (u1_struct_0 B))))))))))))))))))) => ((v1_relat_1 (k1_waybel34 A B C)) /\ ((v1_funct_1 (k1_waybel34 A B C)) /\ ((-. (v1_xboole_0 (k1_waybel34 A B C))) /\ ((v1_funct_2 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)) /\ ((v1_partfun1 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)) /\ ((v18_waybel_0 (k1_waybel34 A B C) B A) /\ ((v20_waybel_0 (k1_waybel34 A B C) B A) /\ ((v22_waybel_0 (k1_waybel34 A B C) B A) /\ ((v5_waybel_1 (k1_waybel34 A B C) A B) /\ (v5_orders_3 (k1_waybel34 A B C) B A)))))))))))))) (m1_relset_1 T_2 (u1_struct_0 T_0) (u1_struct_0 T_1)) (v1_funct_2 T_2 (u1_struct_0 T_0) (u1_struct_0 T_1)) (v1_funct_1 T_2) (All A, (All B, (All C, (((v2_orders_2 A) /\ ((v3_orders_2 A) /\ ((v4_orders_2 A) /\ ((v1_lattice3 A) /\ ((v2_lattice3 A) /\ ((l1_orders_2 A) /\ ((v2_orders_2 B) /\ ((v3_orders_2 B) /\ ((v4_orders_2 B) /\ ((v1_lattice3 B) /\ ((v2_lattice3 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 (k1_waybel34 A B C)) /\ ((v1_funct_2 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)) /\ (m2_relset_1 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)))))))) (l1_orders_2 T_1) (v3_lattice3 T_1) (v2_lattice3 T_1) (v1_lattice3 T_1) (v4_orders_2 T_1) (v3_orders_2 T_1) (v2_orders_2 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 173 174 175 176 177 178 179 239
% 3.48/3.64 241. (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) /\ (l1_orders_2 B))))))) => (All C, (((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 B) (u1_struct_0 A)) /\ ((v18_waybel_0 C B A) /\ (m2_relset_1 C (u1_struct_0 B) (u1_struct_0 A))))) => ((v3_waybel34 C B A) <=> ((v1_funct_1 (k8_relset_1 (u1_struct_0 B) (u1_struct_0 A) C (u1_struct_0 (k1_waybel_8 B)))) /\ ((v1_funct_2 (k8_relset_1 (u1_struct_0 B) (u1_struct_0 A) C (u1_struct_0 (k1_waybel_8 B))) (u1_struct_0 (k1_waybel_8 B)) (u1_struct_0 (k1_waybel_8 A))) /\ ((v4_waybel34 (k8_relset_1 (u1_struct_0 B) (u1_struct_0 A) C (u1_struct_0 (k1_waybel_8 B))) (k1_waybel_8 B) (k1_waybel_8 A)) /\ (m2_relset_1 (k8_relset_1 (u1_struct_0 B) (u1_struct_0 A) C (u1_struct_0 (k1_waybel_8 B))) (u1_struct_0 (k1_waybel_8 B)) (u1_struct_0 (k1_waybel_8 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) (v2_orders_2 T_1) (v3_orders_2 T_1) (v4_orders_2 T_1) (v1_lattice3 T_1) (v2_lattice3 T_1) (v3_lattice3 T_1) (l1_orders_2 T_1) (All A, (All B, (All C, (((v2_orders_2 A) /\ ((v3_orders_2 A) /\ ((v4_orders_2 A) /\ ((v1_lattice3 A) /\ ((v2_lattice3 A) /\ ((l1_orders_2 A) /\ ((v2_orders_2 B) /\ ((v3_orders_2 B) /\ ((v4_orders_2 B) /\ ((v1_lattice3 B) /\ ((v2_lattice3 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 (k1_waybel34 A B C)) /\ ((v1_funct_2 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)) /\ (m2_relset_1 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)))))))) (v1_funct_1 T_2) (v1_funct_2 T_2 (u1_struct_0 T_0) (u1_struct_0 T_1)) (m1_relset_1 T_2 (u1_struct_0 T_0) (u1_struct_0 T_1)) (All A, (All B, (All C, (((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) /\ ((v2_orders_2 B) /\ ((v3_orders_2 B) /\ ((v4_orders_2 B) /\ ((v1_lattice3 B) /\ ((v2_lattice3 B) /\ ((v3_lattice3 B) /\ ((l1_orders_2 B) /\ ((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 A) (u1_struct_0 B)) /\ ((v17_waybel_0 C A B) /\ (m1_relset_1 C (u1_struct_0 A) (u1_struct_0 B))))))))))))))))))) => ((v1_relat_1 (k1_waybel34 A B C)) /\ ((v1_funct_1 (k1_waybel34 A B C)) /\ ((-. (v1_xboole_0 (k1_waybel34 A B C))) /\ ((v1_funct_2 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)) /\ ((v1_partfun1 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)) /\ ((v18_waybel_0 (k1_waybel34 A B C) B A) /\ ((v20_waybel_0 (k1_waybel34 A B C) B A) /\ ((v22_waybel_0 (k1_waybel34 A B C) B A) /\ ((v5_waybel_1 (k1_waybel34 A B C) A B) /\ (v5_orders_3 (k1_waybel34 A B C) B A)))))))))))))) (v17_waybel_0 T_2 T_0 T_1) (-. (v1_funct_1 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 (k1_waybel_8 T_1))))) (v22_waybel_0 T_2 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) /\ (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))))) => ((v22_waybel_0 C A B) => (v1_waybel34 (k1_waybel34 A B C) 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) /\ (l1_orders_2 B))))))) => (All C, (((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 B) (u1_struct_0 A)) /\ ((v18_waybel_0 C B A) /\ (m2_relset_1 C (u1_struct_0 B) (u1_struct_0 A))))) => ((v1_waybel34 C B A) => (v3_waybel34 C B A)))))))) ### All 240
% 3.48/3.65 242. (v2_orders_2 T_0) (-. (v2_orders_2 T_0)) ### Axiom
% 3.48/3.65 243. (v3_orders_2 T_0) (-. (v3_orders_2 T_0)) ### Axiom
% 3.48/3.65 244. (v4_orders_2 T_0) (-. (v4_orders_2 T_0)) ### Axiom
% 3.48/3.65 245. (v1_lattice3 T_0) (-. (v1_lattice3 T_0)) ### Axiom
% 3.48/3.65 246. (v2_lattice3 T_0) (-. (v2_lattice3 T_0)) ### Axiom
% 3.48/3.65 247. (v3_lattice3 T_0) (-. (v3_lattice3 T_0)) ### Axiom
% 3.48/3.65 248. (l1_orders_2 T_0) (-. (l1_orders_2 T_0)) ### Axiom
% 3.48/3.65 249. (v2_orders_2 T_1) (-. (v2_orders_2 T_1)) ### Axiom
% 3.48/3.65 250. (v3_orders_2 T_1) (-. (v3_orders_2 T_1)) ### Axiom
% 3.48/3.65 251. (v4_orders_2 T_1) (-. (v4_orders_2 T_1)) ### Axiom
% 3.48/3.65 252. (v1_lattice3 T_1) (-. (v1_lattice3 T_1)) ### Axiom
% 3.48/3.65 253. (v2_lattice3 T_1) (-. (v2_lattice3 T_1)) ### Axiom
% 3.48/3.65 254. (v3_lattice3 T_1) (-. (v3_lattice3 T_1)) ### Axiom
% 3.48/3.65 255. (l1_orders_2 T_1) (-. (l1_orders_2 T_1)) ### Axiom
% 3.48/3.65 256. (-. (v1_funct_2 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 (k1_waybel_8 T_1))) (u1_struct_0 (k1_waybel_8 T_1)) (u1_struct_0 (k1_waybel_8 T_0)))) (v1_funct_2 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 (k1_waybel_8 T_1))) (u1_struct_0 (k1_waybel_8 T_1)) (u1_struct_0 (k1_waybel_8 T_0))) ### Axiom
% 3.48/3.65 257. ((v1_funct_1 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 (k1_waybel_8 T_1)))) /\ ((v1_funct_2 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 (k1_waybel_8 T_1))) (u1_struct_0 (k1_waybel_8 T_1)) (u1_struct_0 (k1_waybel_8 T_0))) /\ ((v4_waybel34 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 (k1_waybel_8 T_1))) (k1_waybel_8 T_1) (k1_waybel_8 T_0)) /\ (m2_relset_1 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 (k1_waybel_8 T_1))) (u1_struct_0 (k1_waybel_8 T_1)) (u1_struct_0 (k1_waybel_8 T_0)))))) (-. (v1_funct_2 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 (k1_waybel_8 T_1))) (u1_struct_0 (k1_waybel_8 T_1)) (u1_struct_0 (k1_waybel_8 T_0)))) ### ConjTree 256
% 3.48/3.65 258. ((v3_waybel34 (k1_waybel34 T_0 T_1 T_2) T_1 T_0) <=> ((v1_funct_1 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 (k1_waybel_8 T_1)))) /\ ((v1_funct_2 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 (k1_waybel_8 T_1))) (u1_struct_0 (k1_waybel_8 T_1)) (u1_struct_0 (k1_waybel_8 T_0))) /\ ((v4_waybel34 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 (k1_waybel_8 T_1))) (k1_waybel_8 T_1) (k1_waybel_8 T_0)) /\ (m2_relset_1 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 (k1_waybel_8 T_1))) (u1_struct_0 (k1_waybel_8 T_1)) (u1_struct_0 (k1_waybel_8 T_0))))))) (-. (v1_funct_2 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 (k1_waybel_8 T_1))) (u1_struct_0 (k1_waybel_8 T_1)) (u1_struct_0 (k1_waybel_8 T_0)))) (v22_waybel_0 T_2 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) /\ (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))))) => ((v22_waybel_0 C A B) => (v1_waybel34 (k1_waybel34 A B C) B A)))))))) (v17_waybel_0 T_2 T_0 T_1) (All A, (All B, (All C, (((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) /\ ((v2_orders_2 B) /\ ((v3_orders_2 B) /\ ((v4_orders_2 B) /\ ((v1_lattice3 B) /\ ((v2_lattice3 B) /\ ((v3_lattice3 B) /\ ((l1_orders_2 B) /\ ((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 A) (u1_struct_0 B)) /\ ((v17_waybel_0 C A B) /\ (m1_relset_1 C (u1_struct_0 A) (u1_struct_0 B))))))))))))))))))) => ((v1_relat_1 (k1_waybel34 A B C)) /\ ((v1_funct_1 (k1_waybel34 A B C)) /\ ((-. (v1_xboole_0 (k1_waybel34 A B C))) /\ ((v1_funct_2 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)) /\ ((v1_partfun1 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)) /\ ((v18_waybel_0 (k1_waybel34 A B C) B A) /\ ((v20_waybel_0 (k1_waybel34 A B C) B A) /\ ((v22_waybel_0 (k1_waybel34 A B C) B A) /\ ((v5_waybel_1 (k1_waybel34 A B C) A B) /\ (v5_orders_3 (k1_waybel34 A B C) B A)))))))))))))) (m1_relset_1 T_2 (u1_struct_0 T_0) (u1_struct_0 T_1)) (v1_funct_2 T_2 (u1_struct_0 T_0) (u1_struct_0 T_1)) (v1_funct_1 T_2) (All A, (All B, (All C, (((v2_orders_2 A) /\ ((v3_orders_2 A) /\ ((v4_orders_2 A) /\ ((v1_lattice3 A) /\ ((v2_lattice3 A) /\ ((l1_orders_2 A) /\ ((v2_orders_2 B) /\ ((v3_orders_2 B) /\ ((v4_orders_2 B) /\ ((v1_lattice3 B) /\ ((v2_lattice3 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 (k1_waybel34 A B C)) /\ ((v1_funct_2 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)) /\ (m2_relset_1 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)))))))) (l1_orders_2 T_1) (v3_lattice3 T_1) (v2_lattice3 T_1) (v1_lattice3 T_1) (v4_orders_2 T_1) (v3_orders_2 T_1) (v2_orders_2 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, (((v2_orders_2 B) /\ ((v3_orders_2 B) /\ ((v4_orders_2 B) /\ ((v1_lattice3 B) /\ ((v2_lattice3 B) /\ ((v3_lattice3 B) /\ (l1_orders_2 B))))))) => (All C, (((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 B) (u1_struct_0 A)) /\ ((v18_waybel_0 C B A) /\ (m2_relset_1 C (u1_struct_0 B) (u1_struct_0 A))))) => ((v1_waybel34 C B A) => (v3_waybel34 C B A)))))))) ### Equiv 232 257
% 3.48/3.66 259. (((v1_funct_1 (k1_waybel34 T_0 T_1 T_2)) /\ ((v1_funct_2 (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 T_1) (u1_struct_0 T_0)) /\ ((v18_waybel_0 (k1_waybel34 T_0 T_1 T_2) T_1 T_0) /\ (m2_relset_1 (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 T_1) (u1_struct_0 T_0))))) => ((v3_waybel34 (k1_waybel34 T_0 T_1 T_2) T_1 T_0) <=> ((v1_funct_1 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 (k1_waybel_8 T_1)))) /\ ((v1_funct_2 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 (k1_waybel_8 T_1))) (u1_struct_0 (k1_waybel_8 T_1)) (u1_struct_0 (k1_waybel_8 T_0))) /\ ((v4_waybel34 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 (k1_waybel_8 T_1))) (k1_waybel_8 T_1) (k1_waybel_8 T_0)) /\ (m2_relset_1 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 (k1_waybel_8 T_1))) (u1_struct_0 (k1_waybel_8 T_1)) (u1_struct_0 (k1_waybel_8 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) /\ (l1_orders_2 B))))))) => (All C, (((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 B) (u1_struct_0 A)) /\ ((v18_waybel_0 C B A) /\ (m2_relset_1 C (u1_struct_0 B) (u1_struct_0 A))))) => ((v1_waybel34 C B A) => (v3_waybel34 C 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) /\ (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))))) => ((v22_waybel_0 C A B) => (v1_waybel34 (k1_waybel34 A B C) B A)))))))) (v22_waybel_0 T_2 T_0 T_1) (-. (v1_funct_2 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 (k1_waybel_8 T_1))) (u1_struct_0 (k1_waybel_8 T_1)) (u1_struct_0 (k1_waybel_8 T_0)))) (v17_waybel_0 T_2 T_0 T_1) (v3_lattice3 T_1) (v3_lattice3 T_0) (All A, (All B, (All C, (((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) /\ ((v2_orders_2 B) /\ ((v3_orders_2 B) /\ ((v4_orders_2 B) /\ ((v1_lattice3 B) /\ ((v2_lattice3 B) /\ ((v3_lattice3 B) /\ ((l1_orders_2 B) /\ ((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 A) (u1_struct_0 B)) /\ ((v17_waybel_0 C A B) /\ (m1_relset_1 C (u1_struct_0 A) (u1_struct_0 B))))))))))))))))))) => ((v1_relat_1 (k1_waybel34 A B C)) /\ ((v1_funct_1 (k1_waybel34 A B C)) /\ ((-. (v1_xboole_0 (k1_waybel34 A B C))) /\ ((v1_funct_2 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)) /\ ((v1_partfun1 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)) /\ ((v18_waybel_0 (k1_waybel34 A B C) B A) /\ ((v20_waybel_0 (k1_waybel34 A B C) B A) /\ ((v22_waybel_0 (k1_waybel34 A B C) B A) /\ ((v5_waybel_1 (k1_waybel34 A B C) A B) /\ (v5_orders_3 (k1_waybel34 A B C) B A)))))))))))))) (m1_relset_1 T_2 (u1_struct_0 T_0) (u1_struct_0 T_1)) (v1_funct_2 T_2 (u1_struct_0 T_0) (u1_struct_0 T_1)) (v1_funct_1 T_2) (l1_orders_2 T_1) (v2_lattice3 T_1) (v1_lattice3 T_1) (v4_orders_2 T_1) (v3_orders_2 T_1) (v2_orders_2 T_1) (l1_orders_2 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, (All B, (All C, (((v2_orders_2 A) /\ ((v3_orders_2 A) /\ ((v4_orders_2 A) /\ ((v1_lattice3 A) /\ ((v2_lattice3 A) /\ ((l1_orders_2 A) /\ ((v2_orders_2 B) /\ ((v3_orders_2 B) /\ ((v4_orders_2 B) /\ ((v1_lattice3 B) /\ ((v2_lattice3 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 (k1_waybel34 A B C)) /\ ((v1_funct_2 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)) /\ (m2_relset_1 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)))))))) ### DisjTree 66 87 111 134 258
% 3.48/3.66 260. (All C, (((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 T_1) (u1_struct_0 T_0)) /\ ((v18_waybel_0 C T_1 T_0) /\ (m2_relset_1 C (u1_struct_0 T_1) (u1_struct_0 T_0))))) => ((v3_waybel34 C T_1 T_0) <=> ((v1_funct_1 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) C (u1_struct_0 (k1_waybel_8 T_1)))) /\ ((v1_funct_2 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) C (u1_struct_0 (k1_waybel_8 T_1))) (u1_struct_0 (k1_waybel_8 T_1)) (u1_struct_0 (k1_waybel_8 T_0))) /\ ((v4_waybel34 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) C (u1_struct_0 (k1_waybel_8 T_1))) (k1_waybel_8 T_1) (k1_waybel_8 T_0)) /\ (m2_relset_1 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) C (u1_struct_0 (k1_waybel_8 T_1))) (u1_struct_0 (k1_waybel_8 T_1)) (u1_struct_0 (k1_waybel_8 T_0))))))))) (All A, (All B, (All C, (((v2_orders_2 A) /\ ((v3_orders_2 A) /\ ((v4_orders_2 A) /\ ((v1_lattice3 A) /\ ((v2_lattice3 A) /\ ((l1_orders_2 A) /\ ((v2_orders_2 B) /\ ((v3_orders_2 B) /\ ((v4_orders_2 B) /\ ((v1_lattice3 B) /\ ((v2_lattice3 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 (k1_waybel34 A B C)) /\ ((v1_funct_2 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)) /\ (m2_relset_1 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)))))))) (v2_orders_2 T_0) (v3_orders_2 T_0) (v4_orders_2 T_0) (v1_lattice3 T_0) (v2_lattice3 T_0) (l1_orders_2 T_0) (v2_orders_2 T_1) (v3_orders_2 T_1) (v4_orders_2 T_1) (v1_lattice3 T_1) (v2_lattice3 T_1) (l1_orders_2 T_1) (v1_funct_1 T_2) (v1_funct_2 T_2 (u1_struct_0 T_0) (u1_struct_0 T_1)) (m1_relset_1 T_2 (u1_struct_0 T_0) (u1_struct_0 T_1)) (All A, (All B, (All C, (((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) /\ ((v2_orders_2 B) /\ ((v3_orders_2 B) /\ ((v4_orders_2 B) /\ ((v1_lattice3 B) /\ ((v2_lattice3 B) /\ ((v3_lattice3 B) /\ ((l1_orders_2 B) /\ ((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 A) (u1_struct_0 B)) /\ ((v17_waybel_0 C A B) /\ (m1_relset_1 C (u1_struct_0 A) (u1_struct_0 B))))))))))))))))))) => ((v1_relat_1 (k1_waybel34 A B C)) /\ ((v1_funct_1 (k1_waybel34 A B C)) /\ ((-. (v1_xboole_0 (k1_waybel34 A B C))) /\ ((v1_funct_2 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)) /\ ((v1_partfun1 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)) /\ ((v18_waybel_0 (k1_waybel34 A B C) B A) /\ ((v20_waybel_0 (k1_waybel34 A B C) B A) /\ ((v22_waybel_0 (k1_waybel34 A B C) B A) /\ ((v5_waybel_1 (k1_waybel34 A B C) A B) /\ (v5_orders_3 (k1_waybel34 A B C) B A)))))))))))))) (v3_lattice3 T_0) (v3_lattice3 T_1) (v17_waybel_0 T_2 T_0 T_1) (-. (v1_funct_2 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 (k1_waybel_8 T_1))) (u1_struct_0 (k1_waybel_8 T_1)) (u1_struct_0 (k1_waybel_8 T_0)))) (v22_waybel_0 T_2 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) /\ (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))))) => ((v22_waybel_0 C A B) => (v1_waybel34 (k1_waybel34 A B C) 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) /\ (l1_orders_2 B))))))) => (All C, (((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 B) (u1_struct_0 A)) /\ ((v18_waybel_0 C B A) /\ (m2_relset_1 C (u1_struct_0 B) (u1_struct_0 A))))) => ((v1_waybel34 C B A) => (v3_waybel34 C B A)))))))) ### All 259
% 3.48/3.68 261. (((v2_orders_2 T_1) /\ ((v3_orders_2 T_1) /\ ((v4_orders_2 T_1) /\ ((v1_lattice3 T_1) /\ ((v2_lattice3 T_1) /\ ((v3_lattice3 T_1) /\ (l1_orders_2 T_1))))))) => (All C, (((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 T_1) (u1_struct_0 T_0)) /\ ((v18_waybel_0 C T_1 T_0) /\ (m2_relset_1 C (u1_struct_0 T_1) (u1_struct_0 T_0))))) => ((v3_waybel34 C T_1 T_0) <=> ((v1_funct_1 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) C (u1_struct_0 (k1_waybel_8 T_1)))) /\ ((v1_funct_2 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) C (u1_struct_0 (k1_waybel_8 T_1))) (u1_struct_0 (k1_waybel_8 T_1)) (u1_struct_0 (k1_waybel_8 T_0))) /\ ((v4_waybel34 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) C (u1_struct_0 (k1_waybel_8 T_1))) (k1_waybel_8 T_1) (k1_waybel_8 T_0)) /\ (m2_relset_1 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) C (u1_struct_0 (k1_waybel_8 T_1))) (u1_struct_0 (k1_waybel_8 T_1)) (u1_struct_0 (k1_waybel_8 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) /\ (l1_orders_2 B))))))) => (All C, (((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 B) (u1_struct_0 A)) /\ ((v18_waybel_0 C B A) /\ (m2_relset_1 C (u1_struct_0 B) (u1_struct_0 A))))) => ((v1_waybel34 C B A) => (v3_waybel34 C 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) /\ (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))))) => ((v22_waybel_0 C A B) => (v1_waybel34 (k1_waybel34 A B C) B A)))))))) (v22_waybel_0 T_2 T_0 T_1) (-. (v1_funct_2 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 (k1_waybel_8 T_1))) (u1_struct_0 (k1_waybel_8 T_1)) (u1_struct_0 (k1_waybel_8 T_0)))) (v17_waybel_0 T_2 T_0 T_1) (v3_lattice3 T_0) (All A, (All B, (All C, (((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) /\ ((v2_orders_2 B) /\ ((v3_orders_2 B) /\ ((v4_orders_2 B) /\ ((v1_lattice3 B) /\ ((v2_lattice3 B) /\ ((v3_lattice3 B) /\ ((l1_orders_2 B) /\ ((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 A) (u1_struct_0 B)) /\ ((v17_waybel_0 C A B) /\ (m1_relset_1 C (u1_struct_0 A) (u1_struct_0 B))))))))))))))))))) => ((v1_relat_1 (k1_waybel34 A B C)) /\ ((v1_funct_1 (k1_waybel34 A B C)) /\ ((-. (v1_xboole_0 (k1_waybel34 A B C))) /\ ((v1_funct_2 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)) /\ ((v1_partfun1 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)) /\ ((v18_waybel_0 (k1_waybel34 A B C) B A) /\ ((v20_waybel_0 (k1_waybel34 A B C) B A) /\ ((v22_waybel_0 (k1_waybel34 A B C) B A) /\ ((v5_waybel_1 (k1_waybel34 A B C) A B) /\ (v5_orders_3 (k1_waybel34 A B C) B A)))))))))))))) (m1_relset_1 T_2 (u1_struct_0 T_0) (u1_struct_0 T_1)) (v1_funct_2 T_2 (u1_struct_0 T_0) (u1_struct_0 T_1)) (v1_funct_1 T_2) (l1_orders_2 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, (All B, (All C, (((v2_orders_2 A) /\ ((v3_orders_2 A) /\ ((v4_orders_2 A) /\ ((v1_lattice3 A) /\ ((v2_lattice3 A) /\ ((l1_orders_2 A) /\ ((v2_orders_2 B) /\ ((v3_orders_2 B) /\ ((v4_orders_2 B) /\ ((v1_lattice3 B) /\ ((v2_lattice3 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 (k1_waybel34 A B C)) /\ ((v1_funct_2 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)) /\ (m2_relset_1 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)))))))) (l1_orders_2 T_1) (v3_lattice3 T_1) (v2_lattice3 T_1) (v1_lattice3 T_1) (v4_orders_2 T_1) (v3_orders_2 T_1) (v2_orders_2 T_1) ### DisjTree 249 250 251 252 253 254 255 260
% 3.48/3.68 262. (All B, (((v2_orders_2 B) /\ ((v3_orders_2 B) /\ ((v4_orders_2 B) /\ ((v1_lattice3 B) /\ ((v2_lattice3 B) /\ ((v3_lattice3 B) /\ (l1_orders_2 B))))))) => (All C, (((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 B) (u1_struct_0 T_0)) /\ ((v18_waybel_0 C B T_0) /\ (m2_relset_1 C (u1_struct_0 B) (u1_struct_0 T_0))))) => ((v3_waybel34 C B T_0) <=> ((v1_funct_1 (k8_relset_1 (u1_struct_0 B) (u1_struct_0 T_0) C (u1_struct_0 (k1_waybel_8 B)))) /\ ((v1_funct_2 (k8_relset_1 (u1_struct_0 B) (u1_struct_0 T_0) C (u1_struct_0 (k1_waybel_8 B))) (u1_struct_0 (k1_waybel_8 B)) (u1_struct_0 (k1_waybel_8 T_0))) /\ ((v4_waybel34 (k8_relset_1 (u1_struct_0 B) (u1_struct_0 T_0) C (u1_struct_0 (k1_waybel_8 B))) (k1_waybel_8 B) (k1_waybel_8 T_0)) /\ (m2_relset_1 (k8_relset_1 (u1_struct_0 B) (u1_struct_0 T_0) C (u1_struct_0 (k1_waybel_8 B))) (u1_struct_0 (k1_waybel_8 B)) (u1_struct_0 (k1_waybel_8 T_0))))))))))) (v2_orders_2 T_1) (v3_orders_2 T_1) (v4_orders_2 T_1) (v1_lattice3 T_1) (v2_lattice3 T_1) (v3_lattice3 T_1) (l1_orders_2 T_1) (All A, (All B, (All C, (((v2_orders_2 A) /\ ((v3_orders_2 A) /\ ((v4_orders_2 A) /\ ((v1_lattice3 A) /\ ((v2_lattice3 A) /\ ((l1_orders_2 A) /\ ((v2_orders_2 B) /\ ((v3_orders_2 B) /\ ((v4_orders_2 B) /\ ((v1_lattice3 B) /\ ((v2_lattice3 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 (k1_waybel34 A B C)) /\ ((v1_funct_2 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)) /\ (m2_relset_1 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)))))))) (v2_orders_2 T_0) (v3_orders_2 T_0) (v4_orders_2 T_0) (v1_lattice3 T_0) (v2_lattice3 T_0) (l1_orders_2 T_0) (v1_funct_1 T_2) (v1_funct_2 T_2 (u1_struct_0 T_0) (u1_struct_0 T_1)) (m1_relset_1 T_2 (u1_struct_0 T_0) (u1_struct_0 T_1)) (All A, (All B, (All C, (((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) /\ ((v2_orders_2 B) /\ ((v3_orders_2 B) /\ ((v4_orders_2 B) /\ ((v1_lattice3 B) /\ ((v2_lattice3 B) /\ ((v3_lattice3 B) /\ ((l1_orders_2 B) /\ ((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 A) (u1_struct_0 B)) /\ ((v17_waybel_0 C A B) /\ (m1_relset_1 C (u1_struct_0 A) (u1_struct_0 B))))))))))))))))))) => ((v1_relat_1 (k1_waybel34 A B C)) /\ ((v1_funct_1 (k1_waybel34 A B C)) /\ ((-. (v1_xboole_0 (k1_waybel34 A B C))) /\ ((v1_funct_2 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)) /\ ((v1_partfun1 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)) /\ ((v18_waybel_0 (k1_waybel34 A B C) B A) /\ ((v20_waybel_0 (k1_waybel34 A B C) B A) /\ ((v22_waybel_0 (k1_waybel34 A B C) B A) /\ ((v5_waybel_1 (k1_waybel34 A B C) A B) /\ (v5_orders_3 (k1_waybel34 A B C) B A)))))))))))))) (v3_lattice3 T_0) (v17_waybel_0 T_2 T_0 T_1) (-. (v1_funct_2 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 (k1_waybel_8 T_1))) (u1_struct_0 (k1_waybel_8 T_1)) (u1_struct_0 (k1_waybel_8 T_0)))) (v22_waybel_0 T_2 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) /\ (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))))) => ((v22_waybel_0 C A B) => (v1_waybel34 (k1_waybel34 A B C) 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) /\ (l1_orders_2 B))))))) => (All C, (((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 B) (u1_struct_0 A)) /\ ((v18_waybel_0 C B A) /\ (m2_relset_1 C (u1_struct_0 B) (u1_struct_0 A))))) => ((v1_waybel34 C B A) => (v3_waybel34 C B A)))))))) ### All 261
% 3.48/3.69 263. (((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, (((v2_orders_2 B) /\ ((v3_orders_2 B) /\ ((v4_orders_2 B) /\ ((v1_lattice3 B) /\ ((v2_lattice3 B) /\ ((v3_lattice3 B) /\ (l1_orders_2 B))))))) => (All C, (((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 B) (u1_struct_0 T_0)) /\ ((v18_waybel_0 C B T_0) /\ (m2_relset_1 C (u1_struct_0 B) (u1_struct_0 T_0))))) => ((v3_waybel34 C B T_0) <=> ((v1_funct_1 (k8_relset_1 (u1_struct_0 B) (u1_struct_0 T_0) C (u1_struct_0 (k1_waybel_8 B)))) /\ ((v1_funct_2 (k8_relset_1 (u1_struct_0 B) (u1_struct_0 T_0) C (u1_struct_0 (k1_waybel_8 B))) (u1_struct_0 (k1_waybel_8 B)) (u1_struct_0 (k1_waybel_8 T_0))) /\ ((v4_waybel34 (k8_relset_1 (u1_struct_0 B) (u1_struct_0 T_0) C (u1_struct_0 (k1_waybel_8 B))) (k1_waybel_8 B) (k1_waybel_8 T_0)) /\ (m2_relset_1 (k8_relset_1 (u1_struct_0 B) (u1_struct_0 T_0) C (u1_struct_0 (k1_waybel_8 B))) (u1_struct_0 (k1_waybel_8 B)) (u1_struct_0 (k1_waybel_8 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) /\ (l1_orders_2 B))))))) => (All C, (((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 B) (u1_struct_0 A)) /\ ((v18_waybel_0 C B A) /\ (m2_relset_1 C (u1_struct_0 B) (u1_struct_0 A))))) => ((v1_waybel34 C B A) => (v3_waybel34 C 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) /\ (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))))) => ((v22_waybel_0 C A B) => (v1_waybel34 (k1_waybel34 A B C) B A)))))))) (v22_waybel_0 T_2 T_0 T_1) (-. (v1_funct_2 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 (k1_waybel_8 T_1))) (u1_struct_0 (k1_waybel_8 T_1)) (u1_struct_0 (k1_waybel_8 T_0)))) (v17_waybel_0 T_2 T_0 T_1) (All A, (All B, (All C, (((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) /\ ((v2_orders_2 B) /\ ((v3_orders_2 B) /\ ((v4_orders_2 B) /\ ((v1_lattice3 B) /\ ((v2_lattice3 B) /\ ((v3_lattice3 B) /\ ((l1_orders_2 B) /\ ((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 A) (u1_struct_0 B)) /\ ((v17_waybel_0 C A B) /\ (m1_relset_1 C (u1_struct_0 A) (u1_struct_0 B))))))))))))))))))) => ((v1_relat_1 (k1_waybel34 A B C)) /\ ((v1_funct_1 (k1_waybel34 A B C)) /\ ((-. (v1_xboole_0 (k1_waybel34 A B C))) /\ ((v1_funct_2 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)) /\ ((v1_partfun1 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)) /\ ((v18_waybel_0 (k1_waybel34 A B C) B A) /\ ((v20_waybel_0 (k1_waybel34 A B C) B A) /\ ((v22_waybel_0 (k1_waybel34 A B C) B A) /\ ((v5_waybel_1 (k1_waybel34 A B C) A B) /\ (v5_orders_3 (k1_waybel34 A B C) B A)))))))))))))) (m1_relset_1 T_2 (u1_struct_0 T_0) (u1_struct_0 T_1)) (v1_funct_2 T_2 (u1_struct_0 T_0) (u1_struct_0 T_1)) (v1_funct_1 T_2) (All A, (All B, (All C, (((v2_orders_2 A) /\ ((v3_orders_2 A) /\ ((v4_orders_2 A) /\ ((v1_lattice3 A) /\ ((v2_lattice3 A) /\ ((l1_orders_2 A) /\ ((v2_orders_2 B) /\ ((v3_orders_2 B) /\ ((v4_orders_2 B) /\ ((v1_lattice3 B) /\ ((v2_lattice3 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 (k1_waybel34 A B C)) /\ ((v1_funct_2 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)) /\ (m2_relset_1 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)))))))) (l1_orders_2 T_1) (v3_lattice3 T_1) (v2_lattice3 T_1) (v1_lattice3 T_1) (v4_orders_2 T_1) (v3_orders_2 T_1) (v2_orders_2 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 242 243 244 245 246 247 248 262
% 3.48/3.69 264. (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) /\ (l1_orders_2 B))))))) => (All C, (((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 B) (u1_struct_0 A)) /\ ((v18_waybel_0 C B A) /\ (m2_relset_1 C (u1_struct_0 B) (u1_struct_0 A))))) => ((v3_waybel34 C B A) <=> ((v1_funct_1 (k8_relset_1 (u1_struct_0 B) (u1_struct_0 A) C (u1_struct_0 (k1_waybel_8 B)))) /\ ((v1_funct_2 (k8_relset_1 (u1_struct_0 B) (u1_struct_0 A) C (u1_struct_0 (k1_waybel_8 B))) (u1_struct_0 (k1_waybel_8 B)) (u1_struct_0 (k1_waybel_8 A))) /\ ((v4_waybel34 (k8_relset_1 (u1_struct_0 B) (u1_struct_0 A) C (u1_struct_0 (k1_waybel_8 B))) (k1_waybel_8 B) (k1_waybel_8 A)) /\ (m2_relset_1 (k8_relset_1 (u1_struct_0 B) (u1_struct_0 A) C (u1_struct_0 (k1_waybel_8 B))) (u1_struct_0 (k1_waybel_8 B)) (u1_struct_0 (k1_waybel_8 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) (v2_orders_2 T_1) (v3_orders_2 T_1) (v4_orders_2 T_1) (v1_lattice3 T_1) (v2_lattice3 T_1) (v3_lattice3 T_1) (l1_orders_2 T_1) (All A, (All B, (All C, (((v2_orders_2 A) /\ ((v3_orders_2 A) /\ ((v4_orders_2 A) /\ ((v1_lattice3 A) /\ ((v2_lattice3 A) /\ ((l1_orders_2 A) /\ ((v2_orders_2 B) /\ ((v3_orders_2 B) /\ ((v4_orders_2 B) /\ ((v1_lattice3 B) /\ ((v2_lattice3 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 (k1_waybel34 A B C)) /\ ((v1_funct_2 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)) /\ (m2_relset_1 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)))))))) (v1_funct_1 T_2) (v1_funct_2 T_2 (u1_struct_0 T_0) (u1_struct_0 T_1)) (m1_relset_1 T_2 (u1_struct_0 T_0) (u1_struct_0 T_1)) (All A, (All B, (All C, (((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) /\ ((v2_orders_2 B) /\ ((v3_orders_2 B) /\ ((v4_orders_2 B) /\ ((v1_lattice3 B) /\ ((v2_lattice3 B) /\ ((v3_lattice3 B) /\ ((l1_orders_2 B) /\ ((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 A) (u1_struct_0 B)) /\ ((v17_waybel_0 C A B) /\ (m1_relset_1 C (u1_struct_0 A) (u1_struct_0 B))))))))))))))))))) => ((v1_relat_1 (k1_waybel34 A B C)) /\ ((v1_funct_1 (k1_waybel34 A B C)) /\ ((-. (v1_xboole_0 (k1_waybel34 A B C))) /\ ((v1_funct_2 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)) /\ ((v1_partfun1 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)) /\ ((v18_waybel_0 (k1_waybel34 A B C) B A) /\ ((v20_waybel_0 (k1_waybel34 A B C) B A) /\ ((v22_waybel_0 (k1_waybel34 A B C) B A) /\ ((v5_waybel_1 (k1_waybel34 A B C) A B) /\ (v5_orders_3 (k1_waybel34 A B C) B A)))))))))))))) (v17_waybel_0 T_2 T_0 T_1) (-. (v1_funct_2 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 (k1_waybel_8 T_1))) (u1_struct_0 (k1_waybel_8 T_1)) (u1_struct_0 (k1_waybel_8 T_0)))) (v22_waybel_0 T_2 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) /\ (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))))) => ((v22_waybel_0 C A B) => (v1_waybel34 (k1_waybel34 A B C) 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) /\ (l1_orders_2 B))))))) => (All C, (((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 B) (u1_struct_0 A)) /\ ((v18_waybel_0 C B A) /\ (m2_relset_1 C (u1_struct_0 B) (u1_struct_0 A))))) => ((v1_waybel34 C B A) => (v3_waybel34 C B A)))))))) ### All 263
% 3.48/3.71 265. (v2_orders_2 T_0) (-. (v2_orders_2 T_0)) ### Axiom
% 3.48/3.71 266. (v3_orders_2 T_0) (-. (v3_orders_2 T_0)) ### Axiom
% 3.48/3.71 267. (v4_orders_2 T_0) (-. (v4_orders_2 T_0)) ### Axiom
% 3.48/3.71 268. (v1_lattice3 T_0) (-. (v1_lattice3 T_0)) ### Axiom
% 3.48/3.71 269. (v2_lattice3 T_0) (-. (v2_lattice3 T_0)) ### Axiom
% 3.48/3.71 270. (v3_lattice3 T_0) (-. (v3_lattice3 T_0)) ### Axiom
% 3.48/3.71 271. (l1_orders_2 T_0) (-. (l1_orders_2 T_0)) ### Axiom
% 3.48/3.71 272. (v2_orders_2 T_1) (-. (v2_orders_2 T_1)) ### Axiom
% 3.48/3.71 273. (v3_orders_2 T_1) (-. (v3_orders_2 T_1)) ### Axiom
% 3.48/3.71 274. (v4_orders_2 T_1) (-. (v4_orders_2 T_1)) ### Axiom
% 3.48/3.71 275. (v1_lattice3 T_1) (-. (v1_lattice3 T_1)) ### Axiom
% 3.48/3.71 276. (v2_lattice3 T_1) (-. (v2_lattice3 T_1)) ### Axiom
% 3.48/3.71 277. (v3_lattice3 T_1) (-. (v3_lattice3 T_1)) ### Axiom
% 3.48/3.71 278. (l1_orders_2 T_1) (-. (l1_orders_2 T_1)) ### Axiom
% 3.48/3.71 279. (-. (v4_waybel34 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 (k1_waybel_8 T_1))) (k1_waybel_8 T_1) (k1_waybel_8 T_0))) (v4_waybel34 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 (k1_waybel_8 T_1))) (k1_waybel_8 T_1) (k1_waybel_8 T_0)) ### Axiom
% 3.48/3.71 280. ((v1_funct_1 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 (k1_waybel_8 T_1)))) /\ ((v1_funct_2 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 (k1_waybel_8 T_1))) (u1_struct_0 (k1_waybel_8 T_1)) (u1_struct_0 (k1_waybel_8 T_0))) /\ ((v4_waybel34 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 (k1_waybel_8 T_1))) (k1_waybel_8 T_1) (k1_waybel_8 T_0)) /\ (m2_relset_1 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 (k1_waybel_8 T_1))) (u1_struct_0 (k1_waybel_8 T_1)) (u1_struct_0 (k1_waybel_8 T_0)))))) (-. (v4_waybel34 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 (k1_waybel_8 T_1))) (k1_waybel_8 T_1) (k1_waybel_8 T_0))) ### ConjTree 279
% 3.48/3.71 281. ((v3_waybel34 (k1_waybel34 T_0 T_1 T_2) T_1 T_0) <=> ((v1_funct_1 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 (k1_waybel_8 T_1)))) /\ ((v1_funct_2 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 (k1_waybel_8 T_1))) (u1_struct_0 (k1_waybel_8 T_1)) (u1_struct_0 (k1_waybel_8 T_0))) /\ ((v4_waybel34 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 (k1_waybel_8 T_1))) (k1_waybel_8 T_1) (k1_waybel_8 T_0)) /\ (m2_relset_1 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 (k1_waybel_8 T_1))) (u1_struct_0 (k1_waybel_8 T_1)) (u1_struct_0 (k1_waybel_8 T_0))))))) (-. (v4_waybel34 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 (k1_waybel_8 T_1))) (k1_waybel_8 T_1) (k1_waybel_8 T_0))) (v22_waybel_0 T_2 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) /\ (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))))) => ((v22_waybel_0 C A B) => (v1_waybel34 (k1_waybel34 A B C) B A)))))))) (v17_waybel_0 T_2 T_0 T_1) (All A, (All B, (All C, (((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) /\ ((v2_orders_2 B) /\ ((v3_orders_2 B) /\ ((v4_orders_2 B) /\ ((v1_lattice3 B) /\ ((v2_lattice3 B) /\ ((v3_lattice3 B) /\ ((l1_orders_2 B) /\ ((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 A) (u1_struct_0 B)) /\ ((v17_waybel_0 C A B) /\ (m1_relset_1 C (u1_struct_0 A) (u1_struct_0 B))))))))))))))))))) => ((v1_relat_1 (k1_waybel34 A B C)) /\ ((v1_funct_1 (k1_waybel34 A B C)) /\ ((-. (v1_xboole_0 (k1_waybel34 A B C))) /\ ((v1_funct_2 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)) /\ ((v1_partfun1 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)) /\ ((v18_waybel_0 (k1_waybel34 A B C) B A) /\ ((v20_waybel_0 (k1_waybel34 A B C) B A) /\ ((v22_waybel_0 (k1_waybel34 A B C) B A) /\ ((v5_waybel_1 (k1_waybel34 A B C) A B) /\ (v5_orders_3 (k1_waybel34 A B C) B A)))))))))))))) (m1_relset_1 T_2 (u1_struct_0 T_0) (u1_struct_0 T_1)) (v1_funct_2 T_2 (u1_struct_0 T_0) (u1_struct_0 T_1)) (v1_funct_1 T_2) (All A, (All B, (All C, (((v2_orders_2 A) /\ ((v3_orders_2 A) /\ ((v4_orders_2 A) /\ ((v1_lattice3 A) /\ ((v2_lattice3 A) /\ ((l1_orders_2 A) /\ ((v2_orders_2 B) /\ ((v3_orders_2 B) /\ ((v4_orders_2 B) /\ ((v1_lattice3 B) /\ ((v2_lattice3 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 (k1_waybel34 A B C)) /\ ((v1_funct_2 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)) /\ (m2_relset_1 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)))))))) (l1_orders_2 T_1) (v3_lattice3 T_1) (v2_lattice3 T_1) (v1_lattice3 T_1) (v4_orders_2 T_1) (v3_orders_2 T_1) (v2_orders_2 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, (((v2_orders_2 B) /\ ((v3_orders_2 B) /\ ((v4_orders_2 B) /\ ((v1_lattice3 B) /\ ((v2_lattice3 B) /\ ((v3_lattice3 B) /\ (l1_orders_2 B))))))) => (All C, (((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 B) (u1_struct_0 A)) /\ ((v18_waybel_0 C B A) /\ (m2_relset_1 C (u1_struct_0 B) (u1_struct_0 A))))) => ((v1_waybel34 C B A) => (v3_waybel34 C B A)))))))) ### Equiv 232 280
% 3.48/3.71 282. (((v1_funct_1 (k1_waybel34 T_0 T_1 T_2)) /\ ((v1_funct_2 (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 T_1) (u1_struct_0 T_0)) /\ ((v18_waybel_0 (k1_waybel34 T_0 T_1 T_2) T_1 T_0) /\ (m2_relset_1 (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 T_1) (u1_struct_0 T_0))))) => ((v3_waybel34 (k1_waybel34 T_0 T_1 T_2) T_1 T_0) <=> ((v1_funct_1 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 (k1_waybel_8 T_1)))) /\ ((v1_funct_2 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 (k1_waybel_8 T_1))) (u1_struct_0 (k1_waybel_8 T_1)) (u1_struct_0 (k1_waybel_8 T_0))) /\ ((v4_waybel34 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 (k1_waybel_8 T_1))) (k1_waybel_8 T_1) (k1_waybel_8 T_0)) /\ (m2_relset_1 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 (k1_waybel_8 T_1))) (u1_struct_0 (k1_waybel_8 T_1)) (u1_struct_0 (k1_waybel_8 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) /\ (l1_orders_2 B))))))) => (All C, (((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 B) (u1_struct_0 A)) /\ ((v18_waybel_0 C B A) /\ (m2_relset_1 C (u1_struct_0 B) (u1_struct_0 A))))) => ((v1_waybel34 C B A) => (v3_waybel34 C 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) /\ (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))))) => ((v22_waybel_0 C A B) => (v1_waybel34 (k1_waybel34 A B C) B A)))))))) (v22_waybel_0 T_2 T_0 T_1) (-. (v4_waybel34 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 (k1_waybel_8 T_1))) (k1_waybel_8 T_1) (k1_waybel_8 T_0))) (v17_waybel_0 T_2 T_0 T_1) (v3_lattice3 T_1) (v3_lattice3 T_0) (All A, (All B, (All C, (((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) /\ ((v2_orders_2 B) /\ ((v3_orders_2 B) /\ ((v4_orders_2 B) /\ ((v1_lattice3 B) /\ ((v2_lattice3 B) /\ ((v3_lattice3 B) /\ ((l1_orders_2 B) /\ ((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 A) (u1_struct_0 B)) /\ ((v17_waybel_0 C A B) /\ (m1_relset_1 C (u1_struct_0 A) (u1_struct_0 B))))))))))))))))))) => ((v1_relat_1 (k1_waybel34 A B C)) /\ ((v1_funct_1 (k1_waybel34 A B C)) /\ ((-. (v1_xboole_0 (k1_waybel34 A B C))) /\ ((v1_funct_2 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)) /\ ((v1_partfun1 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)) /\ ((v18_waybel_0 (k1_waybel34 A B C) B A) /\ ((v20_waybel_0 (k1_waybel34 A B C) B A) /\ ((v22_waybel_0 (k1_waybel34 A B C) B A) /\ ((v5_waybel_1 (k1_waybel34 A B C) A B) /\ (v5_orders_3 (k1_waybel34 A B C) B A)))))))))))))) (m1_relset_1 T_2 (u1_struct_0 T_0) (u1_struct_0 T_1)) (v1_funct_2 T_2 (u1_struct_0 T_0) (u1_struct_0 T_1)) (v1_funct_1 T_2) (l1_orders_2 T_1) (v2_lattice3 T_1) (v1_lattice3 T_1) (v4_orders_2 T_1) (v3_orders_2 T_1) (v2_orders_2 T_1) (l1_orders_2 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, (All B, (All C, (((v2_orders_2 A) /\ ((v3_orders_2 A) /\ ((v4_orders_2 A) /\ ((v1_lattice3 A) /\ ((v2_lattice3 A) /\ ((l1_orders_2 A) /\ ((v2_orders_2 B) /\ ((v3_orders_2 B) /\ ((v4_orders_2 B) /\ ((v1_lattice3 B) /\ ((v2_lattice3 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 (k1_waybel34 A B C)) /\ ((v1_funct_2 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)) /\ (m2_relset_1 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)))))))) ### DisjTree 66 87 111 134 281
% 3.55/3.73 283. (All C, (((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 T_1) (u1_struct_0 T_0)) /\ ((v18_waybel_0 C T_1 T_0) /\ (m2_relset_1 C (u1_struct_0 T_1) (u1_struct_0 T_0))))) => ((v3_waybel34 C T_1 T_0) <=> ((v1_funct_1 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) C (u1_struct_0 (k1_waybel_8 T_1)))) /\ ((v1_funct_2 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) C (u1_struct_0 (k1_waybel_8 T_1))) (u1_struct_0 (k1_waybel_8 T_1)) (u1_struct_0 (k1_waybel_8 T_0))) /\ ((v4_waybel34 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) C (u1_struct_0 (k1_waybel_8 T_1))) (k1_waybel_8 T_1) (k1_waybel_8 T_0)) /\ (m2_relset_1 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) C (u1_struct_0 (k1_waybel_8 T_1))) (u1_struct_0 (k1_waybel_8 T_1)) (u1_struct_0 (k1_waybel_8 T_0))))))))) (All A, (All B, (All C, (((v2_orders_2 A) /\ ((v3_orders_2 A) /\ ((v4_orders_2 A) /\ ((v1_lattice3 A) /\ ((v2_lattice3 A) /\ ((l1_orders_2 A) /\ ((v2_orders_2 B) /\ ((v3_orders_2 B) /\ ((v4_orders_2 B) /\ ((v1_lattice3 B) /\ ((v2_lattice3 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 (k1_waybel34 A B C)) /\ ((v1_funct_2 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)) /\ (m2_relset_1 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)))))))) (v2_orders_2 T_0) (v3_orders_2 T_0) (v4_orders_2 T_0) (v1_lattice3 T_0) (v2_lattice3 T_0) (l1_orders_2 T_0) (v2_orders_2 T_1) (v3_orders_2 T_1) (v4_orders_2 T_1) (v1_lattice3 T_1) (v2_lattice3 T_1) (l1_orders_2 T_1) (v1_funct_1 T_2) (v1_funct_2 T_2 (u1_struct_0 T_0) (u1_struct_0 T_1)) (m1_relset_1 T_2 (u1_struct_0 T_0) (u1_struct_0 T_1)) (All A, (All B, (All C, (((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) /\ ((v2_orders_2 B) /\ ((v3_orders_2 B) /\ ((v4_orders_2 B) /\ ((v1_lattice3 B) /\ ((v2_lattice3 B) /\ ((v3_lattice3 B) /\ ((l1_orders_2 B) /\ ((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 A) (u1_struct_0 B)) /\ ((v17_waybel_0 C A B) /\ (m1_relset_1 C (u1_struct_0 A) (u1_struct_0 B))))))))))))))))))) => ((v1_relat_1 (k1_waybel34 A B C)) /\ ((v1_funct_1 (k1_waybel34 A B C)) /\ ((-. (v1_xboole_0 (k1_waybel34 A B C))) /\ ((v1_funct_2 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)) /\ ((v1_partfun1 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)) /\ ((v18_waybel_0 (k1_waybel34 A B C) B A) /\ ((v20_waybel_0 (k1_waybel34 A B C) B A) /\ ((v22_waybel_0 (k1_waybel34 A B C) B A) /\ ((v5_waybel_1 (k1_waybel34 A B C) A B) /\ (v5_orders_3 (k1_waybel34 A B C) B A)))))))))))))) (v3_lattice3 T_0) (v3_lattice3 T_1) (v17_waybel_0 T_2 T_0 T_1) (-. (v4_waybel34 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 (k1_waybel_8 T_1))) (k1_waybel_8 T_1) (k1_waybel_8 T_0))) (v22_waybel_0 T_2 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) /\ (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))))) => ((v22_waybel_0 C A B) => (v1_waybel34 (k1_waybel34 A B C) 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) /\ (l1_orders_2 B))))))) => (All C, (((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 B) (u1_struct_0 A)) /\ ((v18_waybel_0 C B A) /\ (m2_relset_1 C (u1_struct_0 B) (u1_struct_0 A))))) => ((v1_waybel34 C B A) => (v3_waybel34 C B A)))))))) ### All 282
% 3.55/3.73 284. (((v2_orders_2 T_1) /\ ((v3_orders_2 T_1) /\ ((v4_orders_2 T_1) /\ ((v1_lattice3 T_1) /\ ((v2_lattice3 T_1) /\ ((v3_lattice3 T_1) /\ (l1_orders_2 T_1))))))) => (All C, (((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 T_1) (u1_struct_0 T_0)) /\ ((v18_waybel_0 C T_1 T_0) /\ (m2_relset_1 C (u1_struct_0 T_1) (u1_struct_0 T_0))))) => ((v3_waybel34 C T_1 T_0) <=> ((v1_funct_1 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) C (u1_struct_0 (k1_waybel_8 T_1)))) /\ ((v1_funct_2 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) C (u1_struct_0 (k1_waybel_8 T_1))) (u1_struct_0 (k1_waybel_8 T_1)) (u1_struct_0 (k1_waybel_8 T_0))) /\ ((v4_waybel34 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) C (u1_struct_0 (k1_waybel_8 T_1))) (k1_waybel_8 T_1) (k1_waybel_8 T_0)) /\ (m2_relset_1 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) C (u1_struct_0 (k1_waybel_8 T_1))) (u1_struct_0 (k1_waybel_8 T_1)) (u1_struct_0 (k1_waybel_8 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) /\ (l1_orders_2 B))))))) => (All C, (((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 B) (u1_struct_0 A)) /\ ((v18_waybel_0 C B A) /\ (m2_relset_1 C (u1_struct_0 B) (u1_struct_0 A))))) => ((v1_waybel34 C B A) => (v3_waybel34 C 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) /\ (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))))) => ((v22_waybel_0 C A B) => (v1_waybel34 (k1_waybel34 A B C) B A)))))))) (v22_waybel_0 T_2 T_0 T_1) (-. (v4_waybel34 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 (k1_waybel_8 T_1))) (k1_waybel_8 T_1) (k1_waybel_8 T_0))) (v17_waybel_0 T_2 T_0 T_1) (v3_lattice3 T_0) (All A, (All B, (All C, (((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) /\ ((v2_orders_2 B) /\ ((v3_orders_2 B) /\ ((v4_orders_2 B) /\ ((v1_lattice3 B) /\ ((v2_lattice3 B) /\ ((v3_lattice3 B) /\ ((l1_orders_2 B) /\ ((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 A) (u1_struct_0 B)) /\ ((v17_waybel_0 C A B) /\ (m1_relset_1 C (u1_struct_0 A) (u1_struct_0 B))))))))))))))))))) => ((v1_relat_1 (k1_waybel34 A B C)) /\ ((v1_funct_1 (k1_waybel34 A B C)) /\ ((-. (v1_xboole_0 (k1_waybel34 A B C))) /\ ((v1_funct_2 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)) /\ ((v1_partfun1 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)) /\ ((v18_waybel_0 (k1_waybel34 A B C) B A) /\ ((v20_waybel_0 (k1_waybel34 A B C) B A) /\ ((v22_waybel_0 (k1_waybel34 A B C) B A) /\ ((v5_waybel_1 (k1_waybel34 A B C) A B) /\ (v5_orders_3 (k1_waybel34 A B C) B A)))))))))))))) (m1_relset_1 T_2 (u1_struct_0 T_0) (u1_struct_0 T_1)) (v1_funct_2 T_2 (u1_struct_0 T_0) (u1_struct_0 T_1)) (v1_funct_1 T_2) (l1_orders_2 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, (All B, (All C, (((v2_orders_2 A) /\ ((v3_orders_2 A) /\ ((v4_orders_2 A) /\ ((v1_lattice3 A) /\ ((v2_lattice3 A) /\ ((l1_orders_2 A) /\ ((v2_orders_2 B) /\ ((v3_orders_2 B) /\ ((v4_orders_2 B) /\ ((v1_lattice3 B) /\ ((v2_lattice3 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 (k1_waybel34 A B C)) /\ ((v1_funct_2 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)) /\ (m2_relset_1 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)))))))) (l1_orders_2 T_1) (v3_lattice3 T_1) (v2_lattice3 T_1) (v1_lattice3 T_1) (v4_orders_2 T_1) (v3_orders_2 T_1) (v2_orders_2 T_1) ### DisjTree 272 273 274 275 276 277 278 283
% 3.55/3.74 285. (All B, (((v2_orders_2 B) /\ ((v3_orders_2 B) /\ ((v4_orders_2 B) /\ ((v1_lattice3 B) /\ ((v2_lattice3 B) /\ ((v3_lattice3 B) /\ (l1_orders_2 B))))))) => (All C, (((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 B) (u1_struct_0 T_0)) /\ ((v18_waybel_0 C B T_0) /\ (m2_relset_1 C (u1_struct_0 B) (u1_struct_0 T_0))))) => ((v3_waybel34 C B T_0) <=> ((v1_funct_1 (k8_relset_1 (u1_struct_0 B) (u1_struct_0 T_0) C (u1_struct_0 (k1_waybel_8 B)))) /\ ((v1_funct_2 (k8_relset_1 (u1_struct_0 B) (u1_struct_0 T_0) C (u1_struct_0 (k1_waybel_8 B))) (u1_struct_0 (k1_waybel_8 B)) (u1_struct_0 (k1_waybel_8 T_0))) /\ ((v4_waybel34 (k8_relset_1 (u1_struct_0 B) (u1_struct_0 T_0) C (u1_struct_0 (k1_waybel_8 B))) (k1_waybel_8 B) (k1_waybel_8 T_0)) /\ (m2_relset_1 (k8_relset_1 (u1_struct_0 B) (u1_struct_0 T_0) C (u1_struct_0 (k1_waybel_8 B))) (u1_struct_0 (k1_waybel_8 B)) (u1_struct_0 (k1_waybel_8 T_0))))))))))) (v2_orders_2 T_1) (v3_orders_2 T_1) (v4_orders_2 T_1) (v1_lattice3 T_1) (v2_lattice3 T_1) (v3_lattice3 T_1) (l1_orders_2 T_1) (All A, (All B, (All C, (((v2_orders_2 A) /\ ((v3_orders_2 A) /\ ((v4_orders_2 A) /\ ((v1_lattice3 A) /\ ((v2_lattice3 A) /\ ((l1_orders_2 A) /\ ((v2_orders_2 B) /\ ((v3_orders_2 B) /\ ((v4_orders_2 B) /\ ((v1_lattice3 B) /\ ((v2_lattice3 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 (k1_waybel34 A B C)) /\ ((v1_funct_2 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)) /\ (m2_relset_1 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)))))))) (v2_orders_2 T_0) (v3_orders_2 T_0) (v4_orders_2 T_0) (v1_lattice3 T_0) (v2_lattice3 T_0) (l1_orders_2 T_0) (v1_funct_1 T_2) (v1_funct_2 T_2 (u1_struct_0 T_0) (u1_struct_0 T_1)) (m1_relset_1 T_2 (u1_struct_0 T_0) (u1_struct_0 T_1)) (All A, (All B, (All C, (((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) /\ ((v2_orders_2 B) /\ ((v3_orders_2 B) /\ ((v4_orders_2 B) /\ ((v1_lattice3 B) /\ ((v2_lattice3 B) /\ ((v3_lattice3 B) /\ ((l1_orders_2 B) /\ ((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 A) (u1_struct_0 B)) /\ ((v17_waybel_0 C A B) /\ (m1_relset_1 C (u1_struct_0 A) (u1_struct_0 B))))))))))))))))))) => ((v1_relat_1 (k1_waybel34 A B C)) /\ ((v1_funct_1 (k1_waybel34 A B C)) /\ ((-. (v1_xboole_0 (k1_waybel34 A B C))) /\ ((v1_funct_2 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)) /\ ((v1_partfun1 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)) /\ ((v18_waybel_0 (k1_waybel34 A B C) B A) /\ ((v20_waybel_0 (k1_waybel34 A B C) B A) /\ ((v22_waybel_0 (k1_waybel34 A B C) B A) /\ ((v5_waybel_1 (k1_waybel34 A B C) A B) /\ (v5_orders_3 (k1_waybel34 A B C) B A)))))))))))))) (v3_lattice3 T_0) (v17_waybel_0 T_2 T_0 T_1) (-. (v4_waybel34 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 (k1_waybel_8 T_1))) (k1_waybel_8 T_1) (k1_waybel_8 T_0))) (v22_waybel_0 T_2 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) /\ (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))))) => ((v22_waybel_0 C A B) => (v1_waybel34 (k1_waybel34 A B C) 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) /\ (l1_orders_2 B))))))) => (All C, (((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 B) (u1_struct_0 A)) /\ ((v18_waybel_0 C B A) /\ (m2_relset_1 C (u1_struct_0 B) (u1_struct_0 A))))) => ((v1_waybel34 C B A) => (v3_waybel34 C B A)))))))) ### All 284
% 3.55/3.74 286. (((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, (((v2_orders_2 B) /\ ((v3_orders_2 B) /\ ((v4_orders_2 B) /\ ((v1_lattice3 B) /\ ((v2_lattice3 B) /\ ((v3_lattice3 B) /\ (l1_orders_2 B))))))) => (All C, (((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 B) (u1_struct_0 T_0)) /\ ((v18_waybel_0 C B T_0) /\ (m2_relset_1 C (u1_struct_0 B) (u1_struct_0 T_0))))) => ((v3_waybel34 C B T_0) <=> ((v1_funct_1 (k8_relset_1 (u1_struct_0 B) (u1_struct_0 T_0) C (u1_struct_0 (k1_waybel_8 B)))) /\ ((v1_funct_2 (k8_relset_1 (u1_struct_0 B) (u1_struct_0 T_0) C (u1_struct_0 (k1_waybel_8 B))) (u1_struct_0 (k1_waybel_8 B)) (u1_struct_0 (k1_waybel_8 T_0))) /\ ((v4_waybel34 (k8_relset_1 (u1_struct_0 B) (u1_struct_0 T_0) C (u1_struct_0 (k1_waybel_8 B))) (k1_waybel_8 B) (k1_waybel_8 T_0)) /\ (m2_relset_1 (k8_relset_1 (u1_struct_0 B) (u1_struct_0 T_0) C (u1_struct_0 (k1_waybel_8 B))) (u1_struct_0 (k1_waybel_8 B)) (u1_struct_0 (k1_waybel_8 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) /\ (l1_orders_2 B))))))) => (All C, (((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 B) (u1_struct_0 A)) /\ ((v18_waybel_0 C B A) /\ (m2_relset_1 C (u1_struct_0 B) (u1_struct_0 A))))) => ((v1_waybel34 C B A) => (v3_waybel34 C 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) /\ (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))))) => ((v22_waybel_0 C A B) => (v1_waybel34 (k1_waybel34 A B C) B A)))))))) (v22_waybel_0 T_2 T_0 T_1) (-. (v4_waybel34 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 (k1_waybel_8 T_1))) (k1_waybel_8 T_1) (k1_waybel_8 T_0))) (v17_waybel_0 T_2 T_0 T_1) (All A, (All B, (All C, (((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) /\ ((v2_orders_2 B) /\ ((v3_orders_2 B) /\ ((v4_orders_2 B) /\ ((v1_lattice3 B) /\ ((v2_lattice3 B) /\ ((v3_lattice3 B) /\ ((l1_orders_2 B) /\ ((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 A) (u1_struct_0 B)) /\ ((v17_waybel_0 C A B) /\ (m1_relset_1 C (u1_struct_0 A) (u1_struct_0 B))))))))))))))))))) => ((v1_relat_1 (k1_waybel34 A B C)) /\ ((v1_funct_1 (k1_waybel34 A B C)) /\ ((-. (v1_xboole_0 (k1_waybel34 A B C))) /\ ((v1_funct_2 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)) /\ ((v1_partfun1 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)) /\ ((v18_waybel_0 (k1_waybel34 A B C) B A) /\ ((v20_waybel_0 (k1_waybel34 A B C) B A) /\ ((v22_waybel_0 (k1_waybel34 A B C) B A) /\ ((v5_waybel_1 (k1_waybel34 A B C) A B) /\ (v5_orders_3 (k1_waybel34 A B C) B A)))))))))))))) (m1_relset_1 T_2 (u1_struct_0 T_0) (u1_struct_0 T_1)) (v1_funct_2 T_2 (u1_struct_0 T_0) (u1_struct_0 T_1)) (v1_funct_1 T_2) (All A, (All B, (All C, (((v2_orders_2 A) /\ ((v3_orders_2 A) /\ ((v4_orders_2 A) /\ ((v1_lattice3 A) /\ ((v2_lattice3 A) /\ ((l1_orders_2 A) /\ ((v2_orders_2 B) /\ ((v3_orders_2 B) /\ ((v4_orders_2 B) /\ ((v1_lattice3 B) /\ ((v2_lattice3 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 (k1_waybel34 A B C)) /\ ((v1_funct_2 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)) /\ (m2_relset_1 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)))))))) (l1_orders_2 T_1) (v3_lattice3 T_1) (v2_lattice3 T_1) (v1_lattice3 T_1) (v4_orders_2 T_1) (v3_orders_2 T_1) (v2_orders_2 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 265 266 267 268 269 270 271 285
% 3.55/3.74 287. (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) /\ (l1_orders_2 B))))))) => (All C, (((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 B) (u1_struct_0 A)) /\ ((v18_waybel_0 C B A) /\ (m2_relset_1 C (u1_struct_0 B) (u1_struct_0 A))))) => ((v3_waybel34 C B A) <=> ((v1_funct_1 (k8_relset_1 (u1_struct_0 B) (u1_struct_0 A) C (u1_struct_0 (k1_waybel_8 B)))) /\ ((v1_funct_2 (k8_relset_1 (u1_struct_0 B) (u1_struct_0 A) C (u1_struct_0 (k1_waybel_8 B))) (u1_struct_0 (k1_waybel_8 B)) (u1_struct_0 (k1_waybel_8 A))) /\ ((v4_waybel34 (k8_relset_1 (u1_struct_0 B) (u1_struct_0 A) C (u1_struct_0 (k1_waybel_8 B))) (k1_waybel_8 B) (k1_waybel_8 A)) /\ (m2_relset_1 (k8_relset_1 (u1_struct_0 B) (u1_struct_0 A) C (u1_struct_0 (k1_waybel_8 B))) (u1_struct_0 (k1_waybel_8 B)) (u1_struct_0 (k1_waybel_8 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) (v2_orders_2 T_1) (v3_orders_2 T_1) (v4_orders_2 T_1) (v1_lattice3 T_1) (v2_lattice3 T_1) (v3_lattice3 T_1) (l1_orders_2 T_1) (All A, (All B, (All C, (((v2_orders_2 A) /\ ((v3_orders_2 A) /\ ((v4_orders_2 A) /\ ((v1_lattice3 A) /\ ((v2_lattice3 A) /\ ((l1_orders_2 A) /\ ((v2_orders_2 B) /\ ((v3_orders_2 B) /\ ((v4_orders_2 B) /\ ((v1_lattice3 B) /\ ((v2_lattice3 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 (k1_waybel34 A B C)) /\ ((v1_funct_2 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)) /\ (m2_relset_1 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)))))))) (v1_funct_1 T_2) (v1_funct_2 T_2 (u1_struct_0 T_0) (u1_struct_0 T_1)) (m1_relset_1 T_2 (u1_struct_0 T_0) (u1_struct_0 T_1)) (All A, (All B, (All C, (((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) /\ ((v2_orders_2 B) /\ ((v3_orders_2 B) /\ ((v4_orders_2 B) /\ ((v1_lattice3 B) /\ ((v2_lattice3 B) /\ ((v3_lattice3 B) /\ ((l1_orders_2 B) /\ ((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 A) (u1_struct_0 B)) /\ ((v17_waybel_0 C A B) /\ (m1_relset_1 C (u1_struct_0 A) (u1_struct_0 B))))))))))))))))))) => ((v1_relat_1 (k1_waybel34 A B C)) /\ ((v1_funct_1 (k1_waybel34 A B C)) /\ ((-. (v1_xboole_0 (k1_waybel34 A B C))) /\ ((v1_funct_2 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)) /\ ((v1_partfun1 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)) /\ ((v18_waybel_0 (k1_waybel34 A B C) B A) /\ ((v20_waybel_0 (k1_waybel34 A B C) B A) /\ ((v22_waybel_0 (k1_waybel34 A B C) B A) /\ ((v5_waybel_1 (k1_waybel34 A B C) A B) /\ (v5_orders_3 (k1_waybel34 A B C) B A)))))))))))))) (v17_waybel_0 T_2 T_0 T_1) (-. (v4_waybel34 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 (k1_waybel_8 T_1))) (k1_waybel_8 T_1) (k1_waybel_8 T_0))) (v22_waybel_0 T_2 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) /\ (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))))) => ((v22_waybel_0 C A B) => (v1_waybel34 (k1_waybel34 A B C) 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) /\ (l1_orders_2 B))))))) => (All C, (((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 B) (u1_struct_0 A)) /\ ((v18_waybel_0 C B A) /\ (m2_relset_1 C (u1_struct_0 B) (u1_struct_0 A))))) => ((v1_waybel34 C B A) => (v3_waybel34 C B A)))))))) ### All 286
% 3.55/3.74 288. (v2_orders_2 T_0) (-. (v2_orders_2 T_0)) ### Axiom
% 3.55/3.74 289. (v3_orders_2 T_0) (-. (v3_orders_2 T_0)) ### Axiom
% 3.55/3.74 290. (v4_orders_2 T_0) (-. (v4_orders_2 T_0)) ### Axiom
% 3.55/3.74 291. (v1_lattice3 T_0) (-. (v1_lattice3 T_0)) ### Axiom
% 3.55/3.74 292. (v2_lattice3 T_0) (-. (v2_lattice3 T_0)) ### Axiom
% 3.55/3.74 293. (v3_lattice3 T_0) (-. (v3_lattice3 T_0)) ### Axiom
% 3.55/3.74 294. (l1_orders_2 T_0) (-. (l1_orders_2 T_0)) ### Axiom
% 3.55/3.74 295. (v2_orders_2 T_1) (-. (v2_orders_2 T_1)) ### Axiom
% 3.55/3.74 296. (v3_orders_2 T_1) (-. (v3_orders_2 T_1)) ### Axiom
% 3.55/3.74 297. (v4_orders_2 T_1) (-. (v4_orders_2 T_1)) ### Axiom
% 3.55/3.74 298. (v1_lattice3 T_1) (-. (v1_lattice3 T_1)) ### Axiom
% 3.55/3.74 299. (v2_lattice3 T_1) (-. (v2_lattice3 T_1)) ### Axiom
% 3.55/3.74 300. (v3_lattice3 T_1) (-. (v3_lattice3 T_1)) ### Axiom
% 3.55/3.74 301. (l1_orders_2 T_1) (-. (l1_orders_2 T_1)) ### Axiom
% 3.55/3.74 302. (-. (m1_relset_1 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 (k1_waybel_8 T_1))) (u1_struct_0 (k1_waybel_8 T_1)) (u1_struct_0 (k1_waybel_8 T_0)))) (m1_relset_1 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 (k1_waybel_8 T_1))) (u1_struct_0 (k1_waybel_8 T_1)) (u1_struct_0 (k1_waybel_8 T_0))) ### Axiom
% 3.55/3.74 303. (m2_relset_1 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 (k1_waybel_8 T_1))) (u1_struct_0 (k1_waybel_8 T_1)) (u1_struct_0 (k1_waybel_8 T_0))) (-. (m1_relset_1 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 (k1_waybel_8 T_1))) (u1_struct_0 (k1_waybel_8 T_1)) (u1_struct_0 (k1_waybel_8 T_0)))) ### Definition-Pseudo(m2_relset_1) 302
% 3.61/3.77 304. ((v1_funct_1 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 (k1_waybel_8 T_1)))) /\ ((v1_funct_2 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 (k1_waybel_8 T_1))) (u1_struct_0 (k1_waybel_8 T_1)) (u1_struct_0 (k1_waybel_8 T_0))) /\ ((v4_waybel34 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 (k1_waybel_8 T_1))) (k1_waybel_8 T_1) (k1_waybel_8 T_0)) /\ (m2_relset_1 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 (k1_waybel_8 T_1))) (u1_struct_0 (k1_waybel_8 T_1)) (u1_struct_0 (k1_waybel_8 T_0)))))) (-. (m1_relset_1 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 (k1_waybel_8 T_1))) (u1_struct_0 (k1_waybel_8 T_1)) (u1_struct_0 (k1_waybel_8 T_0)))) ### ConjTree 303
% 3.61/3.77 305. ((v3_waybel34 (k1_waybel34 T_0 T_1 T_2) T_1 T_0) <=> ((v1_funct_1 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 (k1_waybel_8 T_1)))) /\ ((v1_funct_2 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 (k1_waybel_8 T_1))) (u1_struct_0 (k1_waybel_8 T_1)) (u1_struct_0 (k1_waybel_8 T_0))) /\ ((v4_waybel34 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 (k1_waybel_8 T_1))) (k1_waybel_8 T_1) (k1_waybel_8 T_0)) /\ (m2_relset_1 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 (k1_waybel_8 T_1))) (u1_struct_0 (k1_waybel_8 T_1)) (u1_struct_0 (k1_waybel_8 T_0))))))) (-. (m1_relset_1 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 (k1_waybel_8 T_1))) (u1_struct_0 (k1_waybel_8 T_1)) (u1_struct_0 (k1_waybel_8 T_0)))) (v22_waybel_0 T_2 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) /\ (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))))) => ((v22_waybel_0 C A B) => (v1_waybel34 (k1_waybel34 A B C) B A)))))))) (v17_waybel_0 T_2 T_0 T_1) (All A, (All B, (All C, (((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) /\ ((v2_orders_2 B) /\ ((v3_orders_2 B) /\ ((v4_orders_2 B) /\ ((v1_lattice3 B) /\ ((v2_lattice3 B) /\ ((v3_lattice3 B) /\ ((l1_orders_2 B) /\ ((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 A) (u1_struct_0 B)) /\ ((v17_waybel_0 C A B) /\ (m1_relset_1 C (u1_struct_0 A) (u1_struct_0 B))))))))))))))))))) => ((v1_relat_1 (k1_waybel34 A B C)) /\ ((v1_funct_1 (k1_waybel34 A B C)) /\ ((-. (v1_xboole_0 (k1_waybel34 A B C))) /\ ((v1_funct_2 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)) /\ ((v1_partfun1 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)) /\ ((v18_waybel_0 (k1_waybel34 A B C) B A) /\ ((v20_waybel_0 (k1_waybel34 A B C) B A) /\ ((v22_waybel_0 (k1_waybel34 A B C) B A) /\ ((v5_waybel_1 (k1_waybel34 A B C) A B) /\ (v5_orders_3 (k1_waybel34 A B C) B A)))))))))))))) (m1_relset_1 T_2 (u1_struct_0 T_0) (u1_struct_0 T_1)) (v1_funct_2 T_2 (u1_struct_0 T_0) (u1_struct_0 T_1)) (v1_funct_1 T_2) (All A, (All B, (All C, (((v2_orders_2 A) /\ ((v3_orders_2 A) /\ ((v4_orders_2 A) /\ ((v1_lattice3 A) /\ ((v2_lattice3 A) /\ ((l1_orders_2 A) /\ ((v2_orders_2 B) /\ ((v3_orders_2 B) /\ ((v4_orders_2 B) /\ ((v1_lattice3 B) /\ ((v2_lattice3 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 (k1_waybel34 A B C)) /\ ((v1_funct_2 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)) /\ (m2_relset_1 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)))))))) (l1_orders_2 T_1) (v3_lattice3 T_1) (v2_lattice3 T_1) (v1_lattice3 T_1) (v4_orders_2 T_1) (v3_orders_2 T_1) (v2_orders_2 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, (((v2_orders_2 B) /\ ((v3_orders_2 B) /\ ((v4_orders_2 B) /\ ((v1_lattice3 B) /\ ((v2_lattice3 B) /\ ((v3_lattice3 B) /\ (l1_orders_2 B))))))) => (All C, (((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 B) (u1_struct_0 A)) /\ ((v18_waybel_0 C B A) /\ (m2_relset_1 C (u1_struct_0 B) (u1_struct_0 A))))) => ((v1_waybel34 C B A) => (v3_waybel34 C B A)))))))) ### Equiv 232 304
% 3.61/3.77 306. (((v1_funct_1 (k1_waybel34 T_0 T_1 T_2)) /\ ((v1_funct_2 (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 T_1) (u1_struct_0 T_0)) /\ ((v18_waybel_0 (k1_waybel34 T_0 T_1 T_2) T_1 T_0) /\ (m2_relset_1 (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 T_1) (u1_struct_0 T_0))))) => ((v3_waybel34 (k1_waybel34 T_0 T_1 T_2) T_1 T_0) <=> ((v1_funct_1 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 (k1_waybel_8 T_1)))) /\ ((v1_funct_2 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 (k1_waybel_8 T_1))) (u1_struct_0 (k1_waybel_8 T_1)) (u1_struct_0 (k1_waybel_8 T_0))) /\ ((v4_waybel34 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 (k1_waybel_8 T_1))) (k1_waybel_8 T_1) (k1_waybel_8 T_0)) /\ (m2_relset_1 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 (k1_waybel_8 T_1))) (u1_struct_0 (k1_waybel_8 T_1)) (u1_struct_0 (k1_waybel_8 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) /\ (l1_orders_2 B))))))) => (All C, (((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 B) (u1_struct_0 A)) /\ ((v18_waybel_0 C B A) /\ (m2_relset_1 C (u1_struct_0 B) (u1_struct_0 A))))) => ((v1_waybel34 C B A) => (v3_waybel34 C 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) /\ (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))))) => ((v22_waybel_0 C A B) => (v1_waybel34 (k1_waybel34 A B C) B A)))))))) (v22_waybel_0 T_2 T_0 T_1) (-. (m1_relset_1 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 (k1_waybel_8 T_1))) (u1_struct_0 (k1_waybel_8 T_1)) (u1_struct_0 (k1_waybel_8 T_0)))) (v17_waybel_0 T_2 T_0 T_1) (v3_lattice3 T_1) (v3_lattice3 T_0) (All A, (All B, (All C, (((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) /\ ((v2_orders_2 B) /\ ((v3_orders_2 B) /\ ((v4_orders_2 B) /\ ((v1_lattice3 B) /\ ((v2_lattice3 B) /\ ((v3_lattice3 B) /\ ((l1_orders_2 B) /\ ((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 A) (u1_struct_0 B)) /\ ((v17_waybel_0 C A B) /\ (m1_relset_1 C (u1_struct_0 A) (u1_struct_0 B))))))))))))))))))) => ((v1_relat_1 (k1_waybel34 A B C)) /\ ((v1_funct_1 (k1_waybel34 A B C)) /\ ((-. (v1_xboole_0 (k1_waybel34 A B C))) /\ ((v1_funct_2 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)) /\ ((v1_partfun1 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)) /\ ((v18_waybel_0 (k1_waybel34 A B C) B A) /\ ((v20_waybel_0 (k1_waybel34 A B C) B A) /\ ((v22_waybel_0 (k1_waybel34 A B C) B A) /\ ((v5_waybel_1 (k1_waybel34 A B C) A B) /\ (v5_orders_3 (k1_waybel34 A B C) B A)))))))))))))) (m1_relset_1 T_2 (u1_struct_0 T_0) (u1_struct_0 T_1)) (v1_funct_2 T_2 (u1_struct_0 T_0) (u1_struct_0 T_1)) (v1_funct_1 T_2) (l1_orders_2 T_1) (v2_lattice3 T_1) (v1_lattice3 T_1) (v4_orders_2 T_1) (v3_orders_2 T_1) (v2_orders_2 T_1) (l1_orders_2 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, (All B, (All C, (((v2_orders_2 A) /\ ((v3_orders_2 A) /\ ((v4_orders_2 A) /\ ((v1_lattice3 A) /\ ((v2_lattice3 A) /\ ((l1_orders_2 A) /\ ((v2_orders_2 B) /\ ((v3_orders_2 B) /\ ((v4_orders_2 B) /\ ((v1_lattice3 B) /\ ((v2_lattice3 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 (k1_waybel34 A B C)) /\ ((v1_funct_2 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)) /\ (m2_relset_1 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)))))))) ### DisjTree 66 87 111 134 305
% 3.61/3.78 307. (All C, (((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 T_1) (u1_struct_0 T_0)) /\ ((v18_waybel_0 C T_1 T_0) /\ (m2_relset_1 C (u1_struct_0 T_1) (u1_struct_0 T_0))))) => ((v3_waybel34 C T_1 T_0) <=> ((v1_funct_1 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) C (u1_struct_0 (k1_waybel_8 T_1)))) /\ ((v1_funct_2 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) C (u1_struct_0 (k1_waybel_8 T_1))) (u1_struct_0 (k1_waybel_8 T_1)) (u1_struct_0 (k1_waybel_8 T_0))) /\ ((v4_waybel34 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) C (u1_struct_0 (k1_waybel_8 T_1))) (k1_waybel_8 T_1) (k1_waybel_8 T_0)) /\ (m2_relset_1 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) C (u1_struct_0 (k1_waybel_8 T_1))) (u1_struct_0 (k1_waybel_8 T_1)) (u1_struct_0 (k1_waybel_8 T_0))))))))) (All A, (All B, (All C, (((v2_orders_2 A) /\ ((v3_orders_2 A) /\ ((v4_orders_2 A) /\ ((v1_lattice3 A) /\ ((v2_lattice3 A) /\ ((l1_orders_2 A) /\ ((v2_orders_2 B) /\ ((v3_orders_2 B) /\ ((v4_orders_2 B) /\ ((v1_lattice3 B) /\ ((v2_lattice3 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 (k1_waybel34 A B C)) /\ ((v1_funct_2 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)) /\ (m2_relset_1 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)))))))) (v2_orders_2 T_0) (v3_orders_2 T_0) (v4_orders_2 T_0) (v1_lattice3 T_0) (v2_lattice3 T_0) (l1_orders_2 T_0) (v2_orders_2 T_1) (v3_orders_2 T_1) (v4_orders_2 T_1) (v1_lattice3 T_1) (v2_lattice3 T_1) (l1_orders_2 T_1) (v1_funct_1 T_2) (v1_funct_2 T_2 (u1_struct_0 T_0) (u1_struct_0 T_1)) (m1_relset_1 T_2 (u1_struct_0 T_0) (u1_struct_0 T_1)) (All A, (All B, (All C, (((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) /\ ((v2_orders_2 B) /\ ((v3_orders_2 B) /\ ((v4_orders_2 B) /\ ((v1_lattice3 B) /\ ((v2_lattice3 B) /\ ((v3_lattice3 B) /\ ((l1_orders_2 B) /\ ((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 A) (u1_struct_0 B)) /\ ((v17_waybel_0 C A B) /\ (m1_relset_1 C (u1_struct_0 A) (u1_struct_0 B))))))))))))))))))) => ((v1_relat_1 (k1_waybel34 A B C)) /\ ((v1_funct_1 (k1_waybel34 A B C)) /\ ((-. (v1_xboole_0 (k1_waybel34 A B C))) /\ ((v1_funct_2 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)) /\ ((v1_partfun1 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)) /\ ((v18_waybel_0 (k1_waybel34 A B C) B A) /\ ((v20_waybel_0 (k1_waybel34 A B C) B A) /\ ((v22_waybel_0 (k1_waybel34 A B C) B A) /\ ((v5_waybel_1 (k1_waybel34 A B C) A B) /\ (v5_orders_3 (k1_waybel34 A B C) B A)))))))))))))) (v3_lattice3 T_0) (v3_lattice3 T_1) (v17_waybel_0 T_2 T_0 T_1) (-. (m1_relset_1 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 (k1_waybel_8 T_1))) (u1_struct_0 (k1_waybel_8 T_1)) (u1_struct_0 (k1_waybel_8 T_0)))) (v22_waybel_0 T_2 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) /\ (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))))) => ((v22_waybel_0 C A B) => (v1_waybel34 (k1_waybel34 A B C) 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) /\ (l1_orders_2 B))))))) => (All C, (((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 B) (u1_struct_0 A)) /\ ((v18_waybel_0 C B A) /\ (m2_relset_1 C (u1_struct_0 B) (u1_struct_0 A))))) => ((v1_waybel34 C B A) => (v3_waybel34 C B A)))))))) ### All 306
% 3.61/3.78 308. (((v2_orders_2 T_1) /\ ((v3_orders_2 T_1) /\ ((v4_orders_2 T_1) /\ ((v1_lattice3 T_1) /\ ((v2_lattice3 T_1) /\ ((v3_lattice3 T_1) /\ (l1_orders_2 T_1))))))) => (All C, (((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 T_1) (u1_struct_0 T_0)) /\ ((v18_waybel_0 C T_1 T_0) /\ (m2_relset_1 C (u1_struct_0 T_1) (u1_struct_0 T_0))))) => ((v3_waybel34 C T_1 T_0) <=> ((v1_funct_1 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) C (u1_struct_0 (k1_waybel_8 T_1)))) /\ ((v1_funct_2 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) C (u1_struct_0 (k1_waybel_8 T_1))) (u1_struct_0 (k1_waybel_8 T_1)) (u1_struct_0 (k1_waybel_8 T_0))) /\ ((v4_waybel34 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) C (u1_struct_0 (k1_waybel_8 T_1))) (k1_waybel_8 T_1) (k1_waybel_8 T_0)) /\ (m2_relset_1 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) C (u1_struct_0 (k1_waybel_8 T_1))) (u1_struct_0 (k1_waybel_8 T_1)) (u1_struct_0 (k1_waybel_8 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) /\ (l1_orders_2 B))))))) => (All C, (((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 B) (u1_struct_0 A)) /\ ((v18_waybel_0 C B A) /\ (m2_relset_1 C (u1_struct_0 B) (u1_struct_0 A))))) => ((v1_waybel34 C B A) => (v3_waybel34 C 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) /\ (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))))) => ((v22_waybel_0 C A B) => (v1_waybel34 (k1_waybel34 A B C) B A)))))))) (v22_waybel_0 T_2 T_0 T_1) (-. (m1_relset_1 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 (k1_waybel_8 T_1))) (u1_struct_0 (k1_waybel_8 T_1)) (u1_struct_0 (k1_waybel_8 T_0)))) (v17_waybel_0 T_2 T_0 T_1) (v3_lattice3 T_0) (All A, (All B, (All C, (((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) /\ ((v2_orders_2 B) /\ ((v3_orders_2 B) /\ ((v4_orders_2 B) /\ ((v1_lattice3 B) /\ ((v2_lattice3 B) /\ ((v3_lattice3 B) /\ ((l1_orders_2 B) /\ ((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 A) (u1_struct_0 B)) /\ ((v17_waybel_0 C A B) /\ (m1_relset_1 C (u1_struct_0 A) (u1_struct_0 B))))))))))))))))))) => ((v1_relat_1 (k1_waybel34 A B C)) /\ ((v1_funct_1 (k1_waybel34 A B C)) /\ ((-. (v1_xboole_0 (k1_waybel34 A B C))) /\ ((v1_funct_2 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)) /\ ((v1_partfun1 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)) /\ ((v18_waybel_0 (k1_waybel34 A B C) B A) /\ ((v20_waybel_0 (k1_waybel34 A B C) B A) /\ ((v22_waybel_0 (k1_waybel34 A B C) B A) /\ ((v5_waybel_1 (k1_waybel34 A B C) A B) /\ (v5_orders_3 (k1_waybel34 A B C) B A)))))))))))))) (m1_relset_1 T_2 (u1_struct_0 T_0) (u1_struct_0 T_1)) (v1_funct_2 T_2 (u1_struct_0 T_0) (u1_struct_0 T_1)) (v1_funct_1 T_2) (l1_orders_2 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, (All B, (All C, (((v2_orders_2 A) /\ ((v3_orders_2 A) /\ ((v4_orders_2 A) /\ ((v1_lattice3 A) /\ ((v2_lattice3 A) /\ ((l1_orders_2 A) /\ ((v2_orders_2 B) /\ ((v3_orders_2 B) /\ ((v4_orders_2 B) /\ ((v1_lattice3 B) /\ ((v2_lattice3 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 (k1_waybel34 A B C)) /\ ((v1_funct_2 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)) /\ (m2_relset_1 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)))))))) (l1_orders_2 T_1) (v3_lattice3 T_1) (v2_lattice3 T_1) (v1_lattice3 T_1) (v4_orders_2 T_1) (v3_orders_2 T_1) (v2_orders_2 T_1) ### DisjTree 295 296 297 298 299 300 301 307
% 3.61/3.79 309. (All B, (((v2_orders_2 B) /\ ((v3_orders_2 B) /\ ((v4_orders_2 B) /\ ((v1_lattice3 B) /\ ((v2_lattice3 B) /\ ((v3_lattice3 B) /\ (l1_orders_2 B))))))) => (All C, (((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 B) (u1_struct_0 T_0)) /\ ((v18_waybel_0 C B T_0) /\ (m2_relset_1 C (u1_struct_0 B) (u1_struct_0 T_0))))) => ((v3_waybel34 C B T_0) <=> ((v1_funct_1 (k8_relset_1 (u1_struct_0 B) (u1_struct_0 T_0) C (u1_struct_0 (k1_waybel_8 B)))) /\ ((v1_funct_2 (k8_relset_1 (u1_struct_0 B) (u1_struct_0 T_0) C (u1_struct_0 (k1_waybel_8 B))) (u1_struct_0 (k1_waybel_8 B)) (u1_struct_0 (k1_waybel_8 T_0))) /\ ((v4_waybel34 (k8_relset_1 (u1_struct_0 B) (u1_struct_0 T_0) C (u1_struct_0 (k1_waybel_8 B))) (k1_waybel_8 B) (k1_waybel_8 T_0)) /\ (m2_relset_1 (k8_relset_1 (u1_struct_0 B) (u1_struct_0 T_0) C (u1_struct_0 (k1_waybel_8 B))) (u1_struct_0 (k1_waybel_8 B)) (u1_struct_0 (k1_waybel_8 T_0))))))))))) (v2_orders_2 T_1) (v3_orders_2 T_1) (v4_orders_2 T_1) (v1_lattice3 T_1) (v2_lattice3 T_1) (v3_lattice3 T_1) (l1_orders_2 T_1) (All A, (All B, (All C, (((v2_orders_2 A) /\ ((v3_orders_2 A) /\ ((v4_orders_2 A) /\ ((v1_lattice3 A) /\ ((v2_lattice3 A) /\ ((l1_orders_2 A) /\ ((v2_orders_2 B) /\ ((v3_orders_2 B) /\ ((v4_orders_2 B) /\ ((v1_lattice3 B) /\ ((v2_lattice3 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 (k1_waybel34 A B C)) /\ ((v1_funct_2 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)) /\ (m2_relset_1 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)))))))) (v2_orders_2 T_0) (v3_orders_2 T_0) (v4_orders_2 T_0) (v1_lattice3 T_0) (v2_lattice3 T_0) (l1_orders_2 T_0) (v1_funct_1 T_2) (v1_funct_2 T_2 (u1_struct_0 T_0) (u1_struct_0 T_1)) (m1_relset_1 T_2 (u1_struct_0 T_0) (u1_struct_0 T_1)) (All A, (All B, (All C, (((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) /\ ((v2_orders_2 B) /\ ((v3_orders_2 B) /\ ((v4_orders_2 B) /\ ((v1_lattice3 B) /\ ((v2_lattice3 B) /\ ((v3_lattice3 B) /\ ((l1_orders_2 B) /\ ((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 A) (u1_struct_0 B)) /\ ((v17_waybel_0 C A B) /\ (m1_relset_1 C (u1_struct_0 A) (u1_struct_0 B))))))))))))))))))) => ((v1_relat_1 (k1_waybel34 A B C)) /\ ((v1_funct_1 (k1_waybel34 A B C)) /\ ((-. (v1_xboole_0 (k1_waybel34 A B C))) /\ ((v1_funct_2 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)) /\ ((v1_partfun1 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)) /\ ((v18_waybel_0 (k1_waybel34 A B C) B A) /\ ((v20_waybel_0 (k1_waybel34 A B C) B A) /\ ((v22_waybel_0 (k1_waybel34 A B C) B A) /\ ((v5_waybel_1 (k1_waybel34 A B C) A B) /\ (v5_orders_3 (k1_waybel34 A B C) B A)))))))))))))) (v3_lattice3 T_0) (v17_waybel_0 T_2 T_0 T_1) (-. (m1_relset_1 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 (k1_waybel_8 T_1))) (u1_struct_0 (k1_waybel_8 T_1)) (u1_struct_0 (k1_waybel_8 T_0)))) (v22_waybel_0 T_2 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) /\ (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))))) => ((v22_waybel_0 C A B) => (v1_waybel34 (k1_waybel34 A B C) 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) /\ (l1_orders_2 B))))))) => (All C, (((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 B) (u1_struct_0 A)) /\ ((v18_waybel_0 C B A) /\ (m2_relset_1 C (u1_struct_0 B) (u1_struct_0 A))))) => ((v1_waybel34 C B A) => (v3_waybel34 C B A)))))))) ### All 308
% 3.61/3.79 310. (((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, (((v2_orders_2 B) /\ ((v3_orders_2 B) /\ ((v4_orders_2 B) /\ ((v1_lattice3 B) /\ ((v2_lattice3 B) /\ ((v3_lattice3 B) /\ (l1_orders_2 B))))))) => (All C, (((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 B) (u1_struct_0 T_0)) /\ ((v18_waybel_0 C B T_0) /\ (m2_relset_1 C (u1_struct_0 B) (u1_struct_0 T_0))))) => ((v3_waybel34 C B T_0) <=> ((v1_funct_1 (k8_relset_1 (u1_struct_0 B) (u1_struct_0 T_0) C (u1_struct_0 (k1_waybel_8 B)))) /\ ((v1_funct_2 (k8_relset_1 (u1_struct_0 B) (u1_struct_0 T_0) C (u1_struct_0 (k1_waybel_8 B))) (u1_struct_0 (k1_waybel_8 B)) (u1_struct_0 (k1_waybel_8 T_0))) /\ ((v4_waybel34 (k8_relset_1 (u1_struct_0 B) (u1_struct_0 T_0) C (u1_struct_0 (k1_waybel_8 B))) (k1_waybel_8 B) (k1_waybel_8 T_0)) /\ (m2_relset_1 (k8_relset_1 (u1_struct_0 B) (u1_struct_0 T_0) C (u1_struct_0 (k1_waybel_8 B))) (u1_struct_0 (k1_waybel_8 B)) (u1_struct_0 (k1_waybel_8 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) /\ (l1_orders_2 B))))))) => (All C, (((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 B) (u1_struct_0 A)) /\ ((v18_waybel_0 C B A) /\ (m2_relset_1 C (u1_struct_0 B) (u1_struct_0 A))))) => ((v1_waybel34 C B A) => (v3_waybel34 C 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) /\ (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))))) => ((v22_waybel_0 C A B) => (v1_waybel34 (k1_waybel34 A B C) B A)))))))) (v22_waybel_0 T_2 T_0 T_1) (-. (m1_relset_1 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 (k1_waybel_8 T_1))) (u1_struct_0 (k1_waybel_8 T_1)) (u1_struct_0 (k1_waybel_8 T_0)))) (v17_waybel_0 T_2 T_0 T_1) (All A, (All B, (All C, (((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) /\ ((v2_orders_2 B) /\ ((v3_orders_2 B) /\ ((v4_orders_2 B) /\ ((v1_lattice3 B) /\ ((v2_lattice3 B) /\ ((v3_lattice3 B) /\ ((l1_orders_2 B) /\ ((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 A) (u1_struct_0 B)) /\ ((v17_waybel_0 C A B) /\ (m1_relset_1 C (u1_struct_0 A) (u1_struct_0 B))))))))))))))))))) => ((v1_relat_1 (k1_waybel34 A B C)) /\ ((v1_funct_1 (k1_waybel34 A B C)) /\ ((-. (v1_xboole_0 (k1_waybel34 A B C))) /\ ((v1_funct_2 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)) /\ ((v1_partfun1 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)) /\ ((v18_waybel_0 (k1_waybel34 A B C) B A) /\ ((v20_waybel_0 (k1_waybel34 A B C) B A) /\ ((v22_waybel_0 (k1_waybel34 A B C) B A) /\ ((v5_waybel_1 (k1_waybel34 A B C) A B) /\ (v5_orders_3 (k1_waybel34 A B C) B A)))))))))))))) (m1_relset_1 T_2 (u1_struct_0 T_0) (u1_struct_0 T_1)) (v1_funct_2 T_2 (u1_struct_0 T_0) (u1_struct_0 T_1)) (v1_funct_1 T_2) (All A, (All B, (All C, (((v2_orders_2 A) /\ ((v3_orders_2 A) /\ ((v4_orders_2 A) /\ ((v1_lattice3 A) /\ ((v2_lattice3 A) /\ ((l1_orders_2 A) /\ ((v2_orders_2 B) /\ ((v3_orders_2 B) /\ ((v4_orders_2 B) /\ ((v1_lattice3 B) /\ ((v2_lattice3 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 (k1_waybel34 A B C)) /\ ((v1_funct_2 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)) /\ (m2_relset_1 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)))))))) (l1_orders_2 T_1) (v3_lattice3 T_1) (v2_lattice3 T_1) (v1_lattice3 T_1) (v4_orders_2 T_1) (v3_orders_2 T_1) (v2_orders_2 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 288 289 290 291 292 293 294 309
% 3.61/3.79 311. (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) /\ (l1_orders_2 B))))))) => (All C, (((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 B) (u1_struct_0 A)) /\ ((v18_waybel_0 C B A) /\ (m2_relset_1 C (u1_struct_0 B) (u1_struct_0 A))))) => ((v3_waybel34 C B A) <=> ((v1_funct_1 (k8_relset_1 (u1_struct_0 B) (u1_struct_0 A) C (u1_struct_0 (k1_waybel_8 B)))) /\ ((v1_funct_2 (k8_relset_1 (u1_struct_0 B) (u1_struct_0 A) C (u1_struct_0 (k1_waybel_8 B))) (u1_struct_0 (k1_waybel_8 B)) (u1_struct_0 (k1_waybel_8 A))) /\ ((v4_waybel34 (k8_relset_1 (u1_struct_0 B) (u1_struct_0 A) C (u1_struct_0 (k1_waybel_8 B))) (k1_waybel_8 B) (k1_waybel_8 A)) /\ (m2_relset_1 (k8_relset_1 (u1_struct_0 B) (u1_struct_0 A) C (u1_struct_0 (k1_waybel_8 B))) (u1_struct_0 (k1_waybel_8 B)) (u1_struct_0 (k1_waybel_8 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) (v2_orders_2 T_1) (v3_orders_2 T_1) (v4_orders_2 T_1) (v1_lattice3 T_1) (v2_lattice3 T_1) (v3_lattice3 T_1) (l1_orders_2 T_1) (All A, (All B, (All C, (((v2_orders_2 A) /\ ((v3_orders_2 A) /\ ((v4_orders_2 A) /\ ((v1_lattice3 A) /\ ((v2_lattice3 A) /\ ((l1_orders_2 A) /\ ((v2_orders_2 B) /\ ((v3_orders_2 B) /\ ((v4_orders_2 B) /\ ((v1_lattice3 B) /\ ((v2_lattice3 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 (k1_waybel34 A B C)) /\ ((v1_funct_2 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)) /\ (m2_relset_1 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)))))))) (v1_funct_1 T_2) (v1_funct_2 T_2 (u1_struct_0 T_0) (u1_struct_0 T_1)) (m1_relset_1 T_2 (u1_struct_0 T_0) (u1_struct_0 T_1)) (All A, (All B, (All C, (((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) /\ ((v2_orders_2 B) /\ ((v3_orders_2 B) /\ ((v4_orders_2 B) /\ ((v1_lattice3 B) /\ ((v2_lattice3 B) /\ ((v3_lattice3 B) /\ ((l1_orders_2 B) /\ ((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 A) (u1_struct_0 B)) /\ ((v17_waybel_0 C A B) /\ (m1_relset_1 C (u1_struct_0 A) (u1_struct_0 B))))))))))))))))))) => ((v1_relat_1 (k1_waybel34 A B C)) /\ ((v1_funct_1 (k1_waybel34 A B C)) /\ ((-. (v1_xboole_0 (k1_waybel34 A B C))) /\ ((v1_funct_2 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)) /\ ((v1_partfun1 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)) /\ ((v18_waybel_0 (k1_waybel34 A B C) B A) /\ ((v20_waybel_0 (k1_waybel34 A B C) B A) /\ ((v22_waybel_0 (k1_waybel34 A B C) B A) /\ ((v5_waybel_1 (k1_waybel34 A B C) A B) /\ (v5_orders_3 (k1_waybel34 A B C) B A)))))))))))))) (v17_waybel_0 T_2 T_0 T_1) (-. (m1_relset_1 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 (k1_waybel_8 T_1))) (u1_struct_0 (k1_waybel_8 T_1)) (u1_struct_0 (k1_waybel_8 T_0)))) (v22_waybel_0 T_2 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) /\ (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))))) => ((v22_waybel_0 C A B) => (v1_waybel34 (k1_waybel34 A B C) 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) /\ (l1_orders_2 B))))))) => (All C, (((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 B) (u1_struct_0 A)) /\ ((v18_waybel_0 C B A) /\ (m2_relset_1 C (u1_struct_0 B) (u1_struct_0 A))))) => ((v1_waybel34 C B A) => (v3_waybel34 C B A)))))))) ### All 310
% 3.61/3.79 312. (-. (m2_relset_1 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 (k1_waybel_8 T_1))) (u1_struct_0 (k1_waybel_8 T_1)) (u1_struct_0 (k1_waybel_8 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) /\ (l1_orders_2 B))))))) => (All C, (((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 B) (u1_struct_0 A)) /\ ((v18_waybel_0 C B A) /\ (m2_relset_1 C (u1_struct_0 B) (u1_struct_0 A))))) => ((v1_waybel34 C B A) => (v3_waybel34 C 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) /\ (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))))) => ((v22_waybel_0 C A B) => (v1_waybel34 (k1_waybel34 A B C) B A)))))))) (v22_waybel_0 T_2 T_0 T_1) (v17_waybel_0 T_2 T_0 T_1) (All A, (All B, (All C, (((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) /\ ((v2_orders_2 B) /\ ((v3_orders_2 B) /\ ((v4_orders_2 B) /\ ((v1_lattice3 B) /\ ((v2_lattice3 B) /\ ((v3_lattice3 B) /\ ((l1_orders_2 B) /\ ((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 A) (u1_struct_0 B)) /\ ((v17_waybel_0 C A B) /\ (m1_relset_1 C (u1_struct_0 A) (u1_struct_0 B))))))))))))))))))) => ((v1_relat_1 (k1_waybel34 A B C)) /\ ((v1_funct_1 (k1_waybel34 A B C)) /\ ((-. (v1_xboole_0 (k1_waybel34 A B C))) /\ ((v1_funct_2 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)) /\ ((v1_partfun1 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)) /\ ((v18_waybel_0 (k1_waybel34 A B C) B A) /\ ((v20_waybel_0 (k1_waybel34 A B C) B A) /\ ((v22_waybel_0 (k1_waybel34 A B C) B A) /\ ((v5_waybel_1 (k1_waybel34 A B C) A B) /\ (v5_orders_3 (k1_waybel34 A B C) B A)))))))))))))) (m1_relset_1 T_2 (u1_struct_0 T_0) (u1_struct_0 T_1)) (v1_funct_2 T_2 (u1_struct_0 T_0) (u1_struct_0 T_1)) (v1_funct_1 T_2) (All A, (All B, (All C, (((v2_orders_2 A) /\ ((v3_orders_2 A) /\ ((v4_orders_2 A) /\ ((v1_lattice3 A) /\ ((v2_lattice3 A) /\ ((l1_orders_2 A) /\ ((v2_orders_2 B) /\ ((v3_orders_2 B) /\ ((v4_orders_2 B) /\ ((v1_lattice3 B) /\ ((v2_lattice3 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 (k1_waybel34 A B C)) /\ ((v1_funct_2 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)) /\ (m2_relset_1 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)))))))) (l1_orders_2 T_1) (v3_lattice3 T_1) (v2_lattice3 T_1) (v1_lattice3 T_1) (v4_orders_2 T_1) (v3_orders_2 T_1) (v2_orders_2 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, (((v2_orders_2 B) /\ ((v3_orders_2 B) /\ ((v4_orders_2 B) /\ ((v1_lattice3 B) /\ ((v2_lattice3 B) /\ ((v3_lattice3 B) /\ (l1_orders_2 B))))))) => (All C, (((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 B) (u1_struct_0 A)) /\ ((v18_waybel_0 C B A) /\ (m2_relset_1 C (u1_struct_0 B) (u1_struct_0 A))))) => ((v3_waybel34 C B A) <=> ((v1_funct_1 (k8_relset_1 (u1_struct_0 B) (u1_struct_0 A) C (u1_struct_0 (k1_waybel_8 B)))) /\ ((v1_funct_2 (k8_relset_1 (u1_struct_0 B) (u1_struct_0 A) C (u1_struct_0 (k1_waybel_8 B))) (u1_struct_0 (k1_waybel_8 B)) (u1_struct_0 (k1_waybel_8 A))) /\ ((v4_waybel34 (k8_relset_1 (u1_struct_0 B) (u1_struct_0 A) C (u1_struct_0 (k1_waybel_8 B))) (k1_waybel_8 B) (k1_waybel_8 A)) /\ (m2_relset_1 (k8_relset_1 (u1_struct_0 B) (u1_struct_0 A) C (u1_struct_0 (k1_waybel_8 B))) (u1_struct_0 (k1_waybel_8 B)) (u1_struct_0 (k1_waybel_8 A))))))))))))) ### Definition-Pseudo(m2_relset_1) 311
% 3.61/3.80 313. (-. ((v1_funct_1 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 (k1_waybel_8 T_1)))) /\ ((v1_funct_2 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 (k1_waybel_8 T_1))) (u1_struct_0 (k1_waybel_8 T_1)) (u1_struct_0 (k1_waybel_8 T_0))) /\ ((v4_waybel34 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 (k1_waybel_8 T_1))) (k1_waybel_8 T_1) (k1_waybel_8 T_0)) /\ (m2_relset_1 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 (k1_waybel_8 T_1))) (u1_struct_0 (k1_waybel_8 T_1)) (u1_struct_0 (k1_waybel_8 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) /\ (l1_orders_2 B))))))) => (All C, (((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 B) (u1_struct_0 A)) /\ ((v18_waybel_0 C B A) /\ (m2_relset_1 C (u1_struct_0 B) (u1_struct_0 A))))) => ((v1_waybel34 C B A) => (v3_waybel34 C 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) /\ (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))))) => ((v22_waybel_0 C A B) => (v1_waybel34 (k1_waybel34 A B C) B A)))))))) (v22_waybel_0 T_2 T_0 T_1) (v17_waybel_0 T_2 T_0 T_1) (All A, (All B, (All C, (((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) /\ ((v2_orders_2 B) /\ ((v3_orders_2 B) /\ ((v4_orders_2 B) /\ ((v1_lattice3 B) /\ ((v2_lattice3 B) /\ ((v3_lattice3 B) /\ ((l1_orders_2 B) /\ ((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 A) (u1_struct_0 B)) /\ ((v17_waybel_0 C A B) /\ (m1_relset_1 C (u1_struct_0 A) (u1_struct_0 B))))))))))))))))))) => ((v1_relat_1 (k1_waybel34 A B C)) /\ ((v1_funct_1 (k1_waybel34 A B C)) /\ ((-. (v1_xboole_0 (k1_waybel34 A B C))) /\ ((v1_funct_2 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)) /\ ((v1_partfun1 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)) /\ ((v18_waybel_0 (k1_waybel34 A B C) B A) /\ ((v20_waybel_0 (k1_waybel34 A B C) B A) /\ ((v22_waybel_0 (k1_waybel34 A B C) B A) /\ ((v5_waybel_1 (k1_waybel34 A B C) A B) /\ (v5_orders_3 (k1_waybel34 A B C) B A)))))))))))))) (m1_relset_1 T_2 (u1_struct_0 T_0) (u1_struct_0 T_1)) (v1_funct_2 T_2 (u1_struct_0 T_0) (u1_struct_0 T_1)) (v1_funct_1 T_2) (All A, (All B, (All C, (((v2_orders_2 A) /\ ((v3_orders_2 A) /\ ((v4_orders_2 A) /\ ((v1_lattice3 A) /\ ((v2_lattice3 A) /\ ((l1_orders_2 A) /\ ((v2_orders_2 B) /\ ((v3_orders_2 B) /\ ((v4_orders_2 B) /\ ((v1_lattice3 B) /\ ((v2_lattice3 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 (k1_waybel34 A B C)) /\ ((v1_funct_2 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)) /\ (m2_relset_1 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)))))))) (l1_orders_2 T_1) (v3_lattice3 T_1) (v2_lattice3 T_1) (v1_lattice3 T_1) (v4_orders_2 T_1) (v3_orders_2 T_1) (v2_orders_2 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, (((v2_orders_2 B) /\ ((v3_orders_2 B) /\ ((v4_orders_2 B) /\ ((v1_lattice3 B) /\ ((v2_lattice3 B) /\ ((v3_lattice3 B) /\ (l1_orders_2 B))))))) => (All C, (((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 B) (u1_struct_0 A)) /\ ((v18_waybel_0 C B A) /\ (m2_relset_1 C (u1_struct_0 B) (u1_struct_0 A))))) => ((v3_waybel34 C B A) <=> ((v1_funct_1 (k8_relset_1 (u1_struct_0 B) (u1_struct_0 A) C (u1_struct_0 (k1_waybel_8 B)))) /\ ((v1_funct_2 (k8_relset_1 (u1_struct_0 B) (u1_struct_0 A) C (u1_struct_0 (k1_waybel_8 B))) (u1_struct_0 (k1_waybel_8 B)) (u1_struct_0 (k1_waybel_8 A))) /\ ((v4_waybel34 (k8_relset_1 (u1_struct_0 B) (u1_struct_0 A) C (u1_struct_0 (k1_waybel_8 B))) (k1_waybel_8 B) (k1_waybel_8 A)) /\ (m2_relset_1 (k8_relset_1 (u1_struct_0 B) (u1_struct_0 A) C (u1_struct_0 (k1_waybel_8 B))) (u1_struct_0 (k1_waybel_8 B)) (u1_struct_0 (k1_waybel_8 A))))))))))))) ### DisjTree 241 264 287 312
% 3.61/3.80 314. (-. ((v22_waybel_0 T_2 T_0 T_1) <=> ((v1_funct_1 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 (k1_waybel_8 T_1)))) /\ ((v1_funct_2 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 (k1_waybel_8 T_1))) (u1_struct_0 (k1_waybel_8 T_1)) (u1_struct_0 (k1_waybel_8 T_0))) /\ ((v4_waybel34 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 (k1_waybel_8 T_1))) (k1_waybel_8 T_1) (k1_waybel_8 T_0)) /\ (m2_relset_1 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 (k1_waybel_8 T_1))) (u1_struct_0 (k1_waybel_8 T_1)) (u1_struct_0 (k1_waybel_8 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) /\ (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))))) => ((v22_waybel_0 C A B) => (v1_waybel34 (k1_waybel34 A B C) 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) /\ (l1_orders_2 B))))))) => (All C, (((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 B) (u1_struct_0 A)) /\ ((v18_waybel_0 C B A) /\ (m2_relset_1 C (u1_struct_0 B) (u1_struct_0 A))))) => ((v1_waybel34 C B A) => (v3_waybel34 C 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) /\ (l1_orders_2 B))))))) => (All C, (((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 B) (u1_struct_0 A)) /\ ((v18_waybel_0 C B A) /\ (m2_relset_1 C (u1_struct_0 B) (u1_struct_0 A))))) => ((v3_waybel34 C B A) <=> ((v1_funct_1 (k8_relset_1 (u1_struct_0 B) (u1_struct_0 A) C (u1_struct_0 (k1_waybel_8 B)))) /\ ((v1_funct_2 (k8_relset_1 (u1_struct_0 B) (u1_struct_0 A) C (u1_struct_0 (k1_waybel_8 B))) (u1_struct_0 (k1_waybel_8 B)) (u1_struct_0 (k1_waybel_8 A))) /\ ((v4_waybel34 (k8_relset_1 (u1_struct_0 B) (u1_struct_0 A) C (u1_struct_0 (k1_waybel_8 B))) (k1_waybel_8 B) (k1_waybel_8 A)) /\ (m2_relset_1 (k8_relset_1 (u1_struct_0 B) (u1_struct_0 A) C (u1_struct_0 (k1_waybel_8 B))) (u1_struct_0 (k1_waybel_8 B)) (u1_struct_0 (k1_waybel_8 A))))))))))))) (All A, (All B, (All C, (((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) /\ ((v2_orders_2 B) /\ ((v3_orders_2 B) /\ ((v4_orders_2 B) /\ ((v1_lattice3 B) /\ ((v2_lattice3 B) /\ ((v3_lattice3 B) /\ ((l1_orders_2 B) /\ ((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 A) (u1_struct_0 B)) /\ ((v17_waybel_0 C A B) /\ (m1_relset_1 C (u1_struct_0 A) (u1_struct_0 B))))))))))))))))))) => ((v1_relat_1 (k1_waybel34 A B C)) /\ ((v1_funct_1 (k1_waybel34 A B C)) /\ ((-. (v1_xboole_0 (k1_waybel34 A B C))) /\ ((v1_funct_2 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)) /\ ((v1_partfun1 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)) /\ ((v18_waybel_0 (k1_waybel34 A B C) B A) /\ ((v20_waybel_0 (k1_waybel34 A B C) B A) /\ ((v22_waybel_0 (k1_waybel34 A B C) B A) /\ ((v5_waybel_1 (k1_waybel34 A B C) A B) /\ (v5_orders_3 (k1_waybel34 A B C) B A)))))))))))))) (All A, (All B, (All C, (((v2_orders_2 A) /\ ((v3_orders_2 A) /\ ((v4_orders_2 A) /\ ((v1_lattice3 A) /\ ((v2_lattice3 A) /\ ((l1_orders_2 A) /\ ((v2_orders_2 B) /\ ((v3_orders_2 B) /\ ((v4_orders_2 B) /\ ((v1_lattice3 B) /\ ((v2_lattice3 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 (k1_waybel34 A B C)) /\ ((v1_funct_2 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)) /\ (m2_relset_1 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 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) /\ (l1_orders_2 B))))))) => (All C, (((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 B) (u1_struct_0 A)) /\ ((v18_waybel_0 C B A) /\ (m2_relset_1 C (u1_struct_0 B) (u1_struct_0 A))))) => (((v2_waybel_8 B) /\ (v3_waybel34 C B A)) => (v1_waybel34 C B A)))))))) (m1_relset_1 T_2 (u1_struct_0 T_0) (u1_struct_0 T_1)) (v17_waybel_0 T_2 T_0 T_1) (v1_funct_2 T_2 (u1_struct_0 T_0) (u1_struct_0 T_1)) (v1_funct_1 T_2) (v2_waybel_8 T_1) (l1_orders_2 T_1) (All A, (((v2_orders_2 A) /\ ((v3_orders_2 A) /\ ((v4_orders_2 A) /\ ((v1_lattice3 A) /\ ((v2_lattice3 A) /\ (l1_orders_2 A)))))) => ((v2_waybel_8 A) <=> ((v3_waybel_3 A) /\ (All B, ((m1_subset_1 B (u1_struct_0 A)) => (All C, ((m1_subset_1 C (u1_struct_0 A)) => (-. ((r1_waybel_3 A B C) /\ (All D, ((m1_subset_1 D (u1_struct_0 A)) => (-. ((r2_hidden D (u1_struct_0 (k1_waybel_8 A))) /\ ((r3_orders_2 A B D) /\ (r3_orders_2 A D C)))))))))))))))) (v3_lattice3 T_1) (v2_lattice3 T_1) (v1_lattice3 T_1) (v4_orders_2 T_1) (v3_orders_2 T_1) (v2_orders_2 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, (((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)))))))) ### NotEquiv 172 313
% 3.61/3.82 315. (m2_relset_1 T_2 (u1_struct_0 T_0) (u1_struct_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)))))))) (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) (v2_orders_2 T_1) (v3_orders_2 T_1) (v4_orders_2 T_1) (v1_lattice3 T_1) (v2_lattice3 T_1) (v3_lattice3 T_1) (All A, (((v2_orders_2 A) /\ ((v3_orders_2 A) /\ ((v4_orders_2 A) /\ ((v1_lattice3 A) /\ ((v2_lattice3 A) /\ (l1_orders_2 A)))))) => ((v2_waybel_8 A) <=> ((v3_waybel_3 A) /\ (All B, ((m1_subset_1 B (u1_struct_0 A)) => (All C, ((m1_subset_1 C (u1_struct_0 A)) => (-. ((r1_waybel_3 A B C) /\ (All D, ((m1_subset_1 D (u1_struct_0 A)) => (-. ((r2_hidden D (u1_struct_0 (k1_waybel_8 A))) /\ ((r3_orders_2 A B D) /\ (r3_orders_2 A D C)))))))))))))))) (l1_orders_2 T_1) (v2_waybel_8 T_1) (v1_funct_1 T_2) (v1_funct_2 T_2 (u1_struct_0 T_0) (u1_struct_0 T_1)) (v17_waybel_0 T_2 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) /\ (l1_orders_2 B))))))) => (All C, (((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 B) (u1_struct_0 A)) /\ ((v18_waybel_0 C B A) /\ (m2_relset_1 C (u1_struct_0 B) (u1_struct_0 A))))) => (((v2_waybel_8 B) /\ (v3_waybel34 C B A)) => (v1_waybel34 C B A)))))))) (All A, (All B, (All C, (((v2_orders_2 A) /\ ((v3_orders_2 A) /\ ((v4_orders_2 A) /\ ((v1_lattice3 A) /\ ((v2_lattice3 A) /\ ((l1_orders_2 A) /\ ((v2_orders_2 B) /\ ((v3_orders_2 B) /\ ((v4_orders_2 B) /\ ((v1_lattice3 B) /\ ((v2_lattice3 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 (k1_waybel34 A B C)) /\ ((v1_funct_2 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)) /\ (m2_relset_1 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)))))))) (All A, (All B, (All C, (((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) /\ ((v2_orders_2 B) /\ ((v3_orders_2 B) /\ ((v4_orders_2 B) /\ ((v1_lattice3 B) /\ ((v2_lattice3 B) /\ ((v3_lattice3 B) /\ ((l1_orders_2 B) /\ ((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 A) (u1_struct_0 B)) /\ ((v17_waybel_0 C A B) /\ (m1_relset_1 C (u1_struct_0 A) (u1_struct_0 B))))))))))))))))))) => ((v1_relat_1 (k1_waybel34 A B C)) /\ ((v1_funct_1 (k1_waybel34 A B C)) /\ ((-. (v1_xboole_0 (k1_waybel34 A B C))) /\ ((v1_funct_2 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)) /\ ((v1_partfun1 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)) /\ ((v18_waybel_0 (k1_waybel34 A B C) B A) /\ ((v20_waybel_0 (k1_waybel34 A B C) B A) /\ ((v22_waybel_0 (k1_waybel34 A B C) B A) /\ ((v5_waybel_1 (k1_waybel34 A B C) A B) /\ (v5_orders_3 (k1_waybel34 A B C) 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) /\ (l1_orders_2 B))))))) => (All C, (((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 B) (u1_struct_0 A)) /\ ((v18_waybel_0 C B A) /\ (m2_relset_1 C (u1_struct_0 B) (u1_struct_0 A))))) => ((v3_waybel34 C B A) <=> ((v1_funct_1 (k8_relset_1 (u1_struct_0 B) (u1_struct_0 A) C (u1_struct_0 (k1_waybel_8 B)))) /\ ((v1_funct_2 (k8_relset_1 (u1_struct_0 B) (u1_struct_0 A) C (u1_struct_0 (k1_waybel_8 B))) (u1_struct_0 (k1_waybel_8 B)) (u1_struct_0 (k1_waybel_8 A))) /\ ((v4_waybel34 (k8_relset_1 (u1_struct_0 B) (u1_struct_0 A) C (u1_struct_0 (k1_waybel_8 B))) (k1_waybel_8 B) (k1_waybel_8 A)) /\ (m2_relset_1 (k8_relset_1 (u1_struct_0 B) (u1_struct_0 A) C (u1_struct_0 (k1_waybel_8 B))) (u1_struct_0 (k1_waybel_8 B)) (u1_struct_0 (k1_waybel_8 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) /\ (l1_orders_2 B))))))) => (All C, (((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 B) (u1_struct_0 A)) /\ ((v18_waybel_0 C B A) /\ (m2_relset_1 C (u1_struct_0 B) (u1_struct_0 A))))) => ((v1_waybel34 C B A) => (v3_waybel34 C 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) /\ (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))))) => ((v22_waybel_0 C A B) => (v1_waybel34 (k1_waybel34 A B C) B A)))))))) (-. ((v22_waybel_0 T_2 T_0 T_1) <=> ((v1_funct_1 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 (k1_waybel_8 T_1)))) /\ ((v1_funct_2 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 (k1_waybel_8 T_1))) (u1_struct_0 (k1_waybel_8 T_1)) (u1_struct_0 (k1_waybel_8 T_0))) /\ ((v4_waybel34 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 (k1_waybel_8 T_1))) (k1_waybel_8 T_1) (k1_waybel_8 T_0)) /\ (m2_relset_1 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 (k1_waybel_8 T_1))) (u1_struct_0 (k1_waybel_8 T_1)) (u1_struct_0 (k1_waybel_8 T_0)))))))) ### Definition-Pseudo(m2_relset_1) 314
% 3.61/3.83 316. (-. (((v1_funct_1 T_2) /\ ((v1_funct_2 T_2 (u1_struct_0 T_0) (u1_struct_0 T_1)) /\ ((v17_waybel_0 T_2 T_0 T_1) /\ (m2_relset_1 T_2 (u1_struct_0 T_0) (u1_struct_0 T_1))))) => ((v22_waybel_0 T_2 T_0 T_1) <=> ((v1_funct_1 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 (k1_waybel_8 T_1)))) /\ ((v1_funct_2 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 (k1_waybel_8 T_1))) (u1_struct_0 (k1_waybel_8 T_1)) (u1_struct_0 (k1_waybel_8 T_0))) /\ ((v4_waybel34 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 (k1_waybel_8 T_1))) (k1_waybel_8 T_1) (k1_waybel_8 T_0)) /\ (m2_relset_1 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) (k1_waybel34 T_0 T_1 T_2) (u1_struct_0 (k1_waybel_8 T_1))) (u1_struct_0 (k1_waybel_8 T_1)) (u1_struct_0 (k1_waybel_8 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) /\ (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))))) => ((v22_waybel_0 C A B) => (v1_waybel34 (k1_waybel34 A B C) 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) /\ (l1_orders_2 B))))))) => (All C, (((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 B) (u1_struct_0 A)) /\ ((v18_waybel_0 C B A) /\ (m2_relset_1 C (u1_struct_0 B) (u1_struct_0 A))))) => ((v1_waybel34 C B A) => (v3_waybel34 C 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) /\ (l1_orders_2 B))))))) => (All C, (((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 B) (u1_struct_0 A)) /\ ((v18_waybel_0 C B A) /\ (m2_relset_1 C (u1_struct_0 B) (u1_struct_0 A))))) => ((v3_waybel34 C B A) <=> ((v1_funct_1 (k8_relset_1 (u1_struct_0 B) (u1_struct_0 A) C (u1_struct_0 (k1_waybel_8 B)))) /\ ((v1_funct_2 (k8_relset_1 (u1_struct_0 B) (u1_struct_0 A) C (u1_struct_0 (k1_waybel_8 B))) (u1_struct_0 (k1_waybel_8 B)) (u1_struct_0 (k1_waybel_8 A))) /\ ((v4_waybel34 (k8_relset_1 (u1_struct_0 B) (u1_struct_0 A) C (u1_struct_0 (k1_waybel_8 B))) (k1_waybel_8 B) (k1_waybel_8 A)) /\ (m2_relset_1 (k8_relset_1 (u1_struct_0 B) (u1_struct_0 A) C (u1_struct_0 (k1_waybel_8 B))) (u1_struct_0 (k1_waybel_8 B)) (u1_struct_0 (k1_waybel_8 A))))))))))))) (All A, (All B, (All C, (((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) /\ ((v2_orders_2 B) /\ ((v3_orders_2 B) /\ ((v4_orders_2 B) /\ ((v1_lattice3 B) /\ ((v2_lattice3 B) /\ ((v3_lattice3 B) /\ ((l1_orders_2 B) /\ ((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 A) (u1_struct_0 B)) /\ ((v17_waybel_0 C A B) /\ (m1_relset_1 C (u1_struct_0 A) (u1_struct_0 B))))))))))))))))))) => ((v1_relat_1 (k1_waybel34 A B C)) /\ ((v1_funct_1 (k1_waybel34 A B C)) /\ ((-. (v1_xboole_0 (k1_waybel34 A B C))) /\ ((v1_funct_2 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)) /\ ((v1_partfun1 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)) /\ ((v18_waybel_0 (k1_waybel34 A B C) B A) /\ ((v20_waybel_0 (k1_waybel34 A B C) B A) /\ ((v22_waybel_0 (k1_waybel34 A B C) B A) /\ ((v5_waybel_1 (k1_waybel34 A B C) A B) /\ (v5_orders_3 (k1_waybel34 A B C) B A)))))))))))))) (All A, (All B, (All C, (((v2_orders_2 A) /\ ((v3_orders_2 A) /\ ((v4_orders_2 A) /\ ((v1_lattice3 A) /\ ((v2_lattice3 A) /\ ((l1_orders_2 A) /\ ((v2_orders_2 B) /\ ((v3_orders_2 B) /\ ((v4_orders_2 B) /\ ((v1_lattice3 B) /\ ((v2_lattice3 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 (k1_waybel34 A B C)) /\ ((v1_funct_2 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)) /\ (m2_relset_1 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 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) /\ (l1_orders_2 B))))))) => (All C, (((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 B) (u1_struct_0 A)) /\ ((v18_waybel_0 C B A) /\ (m2_relset_1 C (u1_struct_0 B) (u1_struct_0 A))))) => (((v2_waybel_8 B) /\ (v3_waybel34 C B A)) => (v1_waybel34 C B A)))))))) (v2_waybel_8 T_1) (l1_orders_2 T_1) (All A, (((v2_orders_2 A) /\ ((v3_orders_2 A) /\ ((v4_orders_2 A) /\ ((v1_lattice3 A) /\ ((v2_lattice3 A) /\ (l1_orders_2 A)))))) => ((v2_waybel_8 A) <=> ((v3_waybel_3 A) /\ (All B, ((m1_subset_1 B (u1_struct_0 A)) => (All C, ((m1_subset_1 C (u1_struct_0 A)) => (-. ((r1_waybel_3 A B C) /\ (All D, ((m1_subset_1 D (u1_struct_0 A)) => (-. ((r2_hidden D (u1_struct_0 (k1_waybel_8 A))) /\ ((r3_orders_2 A B D) /\ (r3_orders_2 A D C)))))))))))))))) (v3_lattice3 T_1) (v2_lattice3 T_1) (v1_lattice3 T_1) (v4_orders_2 T_1) (v3_orders_2 T_1) (v2_orders_2 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, (((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 315
% 3.61/3.83 317. (-. (All C, (((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 T_0) (u1_struct_0 T_1)) /\ ((v17_waybel_0 C T_0 T_1) /\ (m2_relset_1 C (u1_struct_0 T_0) (u1_struct_0 T_1))))) => ((v22_waybel_0 C T_0 T_1) <=> ((v1_funct_1 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) (k1_waybel34 T_0 T_1 C) (u1_struct_0 (k1_waybel_8 T_1)))) /\ ((v1_funct_2 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) (k1_waybel34 T_0 T_1 C) (u1_struct_0 (k1_waybel_8 T_1))) (u1_struct_0 (k1_waybel_8 T_1)) (u1_struct_0 (k1_waybel_8 T_0))) /\ ((v4_waybel34 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) (k1_waybel34 T_0 T_1 C) (u1_struct_0 (k1_waybel_8 T_1))) (k1_waybel_8 T_1) (k1_waybel_8 T_0)) /\ (m2_relset_1 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) (k1_waybel34 T_0 T_1 C) (u1_struct_0 (k1_waybel_8 T_1))) (u1_struct_0 (k1_waybel_8 T_1)) (u1_struct_0 (k1_waybel_8 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)))))))) (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) (v2_orders_2 T_1) (v3_orders_2 T_1) (v4_orders_2 T_1) (v1_lattice3 T_1) (v2_lattice3 T_1) (v3_lattice3 T_1) (All A, (((v2_orders_2 A) /\ ((v3_orders_2 A) /\ ((v4_orders_2 A) /\ ((v1_lattice3 A) /\ ((v2_lattice3 A) /\ (l1_orders_2 A)))))) => ((v2_waybel_8 A) <=> ((v3_waybel_3 A) /\ (All B, ((m1_subset_1 B (u1_struct_0 A)) => (All C, ((m1_subset_1 C (u1_struct_0 A)) => (-. ((r1_waybel_3 A B C) /\ (All D, ((m1_subset_1 D (u1_struct_0 A)) => (-. ((r2_hidden D (u1_struct_0 (k1_waybel_8 A))) /\ ((r3_orders_2 A B D) /\ (r3_orders_2 A D C)))))))))))))))) (l1_orders_2 T_1) (v2_waybel_8 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) /\ (l1_orders_2 B))))))) => (All C, (((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 B) (u1_struct_0 A)) /\ ((v18_waybel_0 C B A) /\ (m2_relset_1 C (u1_struct_0 B) (u1_struct_0 A))))) => (((v2_waybel_8 B) /\ (v3_waybel34 C B A)) => (v1_waybel34 C B A)))))))) (All A, (All B, (All C, (((v2_orders_2 A) /\ ((v3_orders_2 A) /\ ((v4_orders_2 A) /\ ((v1_lattice3 A) /\ ((v2_lattice3 A) /\ ((l1_orders_2 A) /\ ((v2_orders_2 B) /\ ((v3_orders_2 B) /\ ((v4_orders_2 B) /\ ((v1_lattice3 B) /\ ((v2_lattice3 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 (k1_waybel34 A B C)) /\ ((v1_funct_2 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)) /\ (m2_relset_1 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)))))))) (All A, (All B, (All C, (((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) /\ ((v2_orders_2 B) /\ ((v3_orders_2 B) /\ ((v4_orders_2 B) /\ ((v1_lattice3 B) /\ ((v2_lattice3 B) /\ ((v3_lattice3 B) /\ ((l1_orders_2 B) /\ ((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 A) (u1_struct_0 B)) /\ ((v17_waybel_0 C A B) /\ (m1_relset_1 C (u1_struct_0 A) (u1_struct_0 B))))))))))))))))))) => ((v1_relat_1 (k1_waybel34 A B C)) /\ ((v1_funct_1 (k1_waybel34 A B C)) /\ ((-. (v1_xboole_0 (k1_waybel34 A B C))) /\ ((v1_funct_2 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)) /\ ((v1_partfun1 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)) /\ ((v18_waybel_0 (k1_waybel34 A B C) B A) /\ ((v20_waybel_0 (k1_waybel34 A B C) B A) /\ ((v22_waybel_0 (k1_waybel34 A B C) B A) /\ ((v5_waybel_1 (k1_waybel34 A B C) A B) /\ (v5_orders_3 (k1_waybel34 A B C) 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) /\ (l1_orders_2 B))))))) => (All C, (((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 B) (u1_struct_0 A)) /\ ((v18_waybel_0 C B A) /\ (m2_relset_1 C (u1_struct_0 B) (u1_struct_0 A))))) => ((v3_waybel34 C B A) <=> ((v1_funct_1 (k8_relset_1 (u1_struct_0 B) (u1_struct_0 A) C (u1_struct_0 (k1_waybel_8 B)))) /\ ((v1_funct_2 (k8_relset_1 (u1_struct_0 B) (u1_struct_0 A) C (u1_struct_0 (k1_waybel_8 B))) (u1_struct_0 (k1_waybel_8 B)) (u1_struct_0 (k1_waybel_8 A))) /\ ((v4_waybel34 (k8_relset_1 (u1_struct_0 B) (u1_struct_0 A) C (u1_struct_0 (k1_waybel_8 B))) (k1_waybel_8 B) (k1_waybel_8 A)) /\ (m2_relset_1 (k8_relset_1 (u1_struct_0 B) (u1_struct_0 A) C (u1_struct_0 (k1_waybel_8 B))) (u1_struct_0 (k1_waybel_8 B)) (u1_struct_0 (k1_waybel_8 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) /\ (l1_orders_2 B))))))) => (All C, (((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 B) (u1_struct_0 A)) /\ ((v18_waybel_0 C B A) /\ (m2_relset_1 C (u1_struct_0 B) (u1_struct_0 A))))) => ((v1_waybel34 C B A) => (v3_waybel34 C 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) /\ (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))))) => ((v22_waybel_0 C A B) => (v1_waybel34 (k1_waybel34 A B C) B A)))))))) ### NotAllEx 316
% 3.61/3.83 318. (-. (((v2_orders_2 T_1) /\ ((v3_orders_2 T_1) /\ ((v4_orders_2 T_1) /\ ((v1_lattice3 T_1) /\ ((v2_lattice3 T_1) /\ ((v3_lattice3 T_1) /\ (l1_orders_2 T_1))))))) => ((v2_waybel_8 T_1) => (All C, (((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 T_0) (u1_struct_0 T_1)) /\ ((v17_waybel_0 C T_0 T_1) /\ (m2_relset_1 C (u1_struct_0 T_0) (u1_struct_0 T_1))))) => ((v22_waybel_0 C T_0 T_1) <=> ((v1_funct_1 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) (k1_waybel34 T_0 T_1 C) (u1_struct_0 (k1_waybel_8 T_1)))) /\ ((v1_funct_2 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) (k1_waybel34 T_0 T_1 C) (u1_struct_0 (k1_waybel_8 T_1))) (u1_struct_0 (k1_waybel_8 T_1)) (u1_struct_0 (k1_waybel_8 T_0))) /\ ((v4_waybel34 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) (k1_waybel34 T_0 T_1 C) (u1_struct_0 (k1_waybel_8 T_1))) (k1_waybel_8 T_1) (k1_waybel_8 T_0)) /\ (m2_relset_1 (k8_relset_1 (u1_struct_0 T_1) (u1_struct_0 T_0) (k1_waybel34 T_0 T_1 C) (u1_struct_0 (k1_waybel_8 T_1))) (u1_struct_0 (k1_waybel_8 T_1)) (u1_struct_0 (k1_waybel_8 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) /\ (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))))) => ((v22_waybel_0 C A B) => (v1_waybel34 (k1_waybel34 A B C) 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) /\ (l1_orders_2 B))))))) => (All C, (((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 B) (u1_struct_0 A)) /\ ((v18_waybel_0 C B A) /\ (m2_relset_1 C (u1_struct_0 B) (u1_struct_0 A))))) => ((v1_waybel34 C B A) => (v3_waybel34 C 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) /\ (l1_orders_2 B))))))) => (All C, (((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 B) (u1_struct_0 A)) /\ ((v18_waybel_0 C B A) /\ (m2_relset_1 C (u1_struct_0 B) (u1_struct_0 A))))) => ((v3_waybel34 C B A) <=> ((v1_funct_1 (k8_relset_1 (u1_struct_0 B) (u1_struct_0 A) C (u1_struct_0 (k1_waybel_8 B)))) /\ ((v1_funct_2 (k8_relset_1 (u1_struct_0 B) (u1_struct_0 A) C (u1_struct_0 (k1_waybel_8 B))) (u1_struct_0 (k1_waybel_8 B)) (u1_struct_0 (k1_waybel_8 A))) /\ ((v4_waybel34 (k8_relset_1 (u1_struct_0 B) (u1_struct_0 A) C (u1_struct_0 (k1_waybel_8 B))) (k1_waybel_8 B) (k1_waybel_8 A)) /\ (m2_relset_1 (k8_relset_1 (u1_struct_0 B) (u1_struct_0 A) C (u1_struct_0 (k1_waybel_8 B))) (u1_struct_0 (k1_waybel_8 B)) (u1_struct_0 (k1_waybel_8 A))))))))))))) (All A, (All B, (All C, (((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) /\ ((v2_orders_2 B) /\ ((v3_orders_2 B) /\ ((v4_orders_2 B) /\ ((v1_lattice3 B) /\ ((v2_lattice3 B) /\ ((v3_lattice3 B) /\ ((l1_orders_2 B) /\ ((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 A) (u1_struct_0 B)) /\ ((v17_waybel_0 C A B) /\ (m1_relset_1 C (u1_struct_0 A) (u1_struct_0 B))))))))))))))))))) => ((v1_relat_1 (k1_waybel34 A B C)) /\ ((v1_funct_1 (k1_waybel34 A B C)) /\ ((-. (v1_xboole_0 (k1_waybel34 A B C))) /\ ((v1_funct_2 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)) /\ ((v1_partfun1 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)) /\ ((v18_waybel_0 (k1_waybel34 A B C) B A) /\ ((v20_waybel_0 (k1_waybel34 A B C) B A) /\ ((v22_waybel_0 (k1_waybel34 A B C) B A) /\ ((v5_waybel_1 (k1_waybel34 A B C) A B) /\ (v5_orders_3 (k1_waybel34 A B C) B A)))))))))))))) (All A, (All B, (All C, (((v2_orders_2 A) /\ ((v3_orders_2 A) /\ ((v4_orders_2 A) /\ ((v1_lattice3 A) /\ ((v2_lattice3 A) /\ ((l1_orders_2 A) /\ ((v2_orders_2 B) /\ ((v3_orders_2 B) /\ ((v4_orders_2 B) /\ ((v1_lattice3 B) /\ ((v2_lattice3 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 (k1_waybel34 A B C)) /\ ((v1_funct_2 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)) /\ (m2_relset_1 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 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) /\ (l1_orders_2 B))))))) => (All C, (((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 B) (u1_struct_0 A)) /\ ((v18_waybel_0 C B A) /\ (m2_relset_1 C (u1_struct_0 B) (u1_struct_0 A))))) => (((v2_waybel_8 B) /\ (v3_waybel34 C B A)) => (v1_waybel34 C B A)))))))) (All A, (((v2_orders_2 A) /\ ((v3_orders_2 A) /\ ((v4_orders_2 A) /\ ((v1_lattice3 A) /\ ((v2_lattice3 A) /\ (l1_orders_2 A)))))) => ((v2_waybel_8 A) <=> ((v3_waybel_3 A) /\ (All B, ((m1_subset_1 B (u1_struct_0 A)) => (All C, ((m1_subset_1 C (u1_struct_0 A)) => (-. ((r1_waybel_3 A B C) /\ (All D, ((m1_subset_1 D (u1_struct_0 A)) => (-. ((r2_hidden D (u1_struct_0 (k1_waybel_8 A))) /\ ((r3_orders_2 A B D) /\ (r3_orders_2 A D C)))))))))))))))) (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, (((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 317
% 3.61/3.84 319. (-. (All B, (((v2_orders_2 B) /\ ((v3_orders_2 B) /\ ((v4_orders_2 B) /\ ((v1_lattice3 B) /\ ((v2_lattice3 B) /\ ((v3_lattice3 B) /\ (l1_orders_2 B))))))) => ((v2_waybel_8 B) => (All C, (((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 T_0) (u1_struct_0 B)) /\ ((v17_waybel_0 C T_0 B) /\ (m2_relset_1 C (u1_struct_0 T_0) (u1_struct_0 B))))) => ((v22_waybel_0 C T_0 B) <=> ((v1_funct_1 (k8_relset_1 (u1_struct_0 B) (u1_struct_0 T_0) (k1_waybel34 T_0 B C) (u1_struct_0 (k1_waybel_8 B)))) /\ ((v1_funct_2 (k8_relset_1 (u1_struct_0 B) (u1_struct_0 T_0) (k1_waybel34 T_0 B C) (u1_struct_0 (k1_waybel_8 B))) (u1_struct_0 (k1_waybel_8 B)) (u1_struct_0 (k1_waybel_8 T_0))) /\ ((v4_waybel34 (k8_relset_1 (u1_struct_0 B) (u1_struct_0 T_0) (k1_waybel34 T_0 B C) (u1_struct_0 (k1_waybel_8 B))) (k1_waybel_8 B) (k1_waybel_8 T_0)) /\ (m2_relset_1 (k8_relset_1 (u1_struct_0 B) (u1_struct_0 T_0) (k1_waybel34 T_0 B C) (u1_struct_0 (k1_waybel_8 B))) (u1_struct_0 (k1_waybel_8 B)) (u1_struct_0 (k1_waybel_8 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)))))))) (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) /\ (l1_orders_2 A)))))) => ((v2_waybel_8 A) <=> ((v3_waybel_3 A) /\ (All B, ((m1_subset_1 B (u1_struct_0 A)) => (All C, ((m1_subset_1 C (u1_struct_0 A)) => (-. ((r1_waybel_3 A B C) /\ (All D, ((m1_subset_1 D (u1_struct_0 A)) => (-. ((r2_hidden D (u1_struct_0 (k1_waybel_8 A))) /\ ((r3_orders_2 A B D) /\ (r3_orders_2 A D C)))))))))))))))) (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) /\ (l1_orders_2 B))))))) => (All C, (((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 B) (u1_struct_0 A)) /\ ((v18_waybel_0 C B A) /\ (m2_relset_1 C (u1_struct_0 B) (u1_struct_0 A))))) => (((v2_waybel_8 B) /\ (v3_waybel34 C B A)) => (v1_waybel34 C B A)))))))) (All A, (All B, (All C, (((v2_orders_2 A) /\ ((v3_orders_2 A) /\ ((v4_orders_2 A) /\ ((v1_lattice3 A) /\ ((v2_lattice3 A) /\ ((l1_orders_2 A) /\ ((v2_orders_2 B) /\ ((v3_orders_2 B) /\ ((v4_orders_2 B) /\ ((v1_lattice3 B) /\ ((v2_lattice3 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 (k1_waybel34 A B C)) /\ ((v1_funct_2 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)) /\ (m2_relset_1 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)))))))) (All A, (All B, (All C, (((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) /\ ((v2_orders_2 B) /\ ((v3_orders_2 B) /\ ((v4_orders_2 B) /\ ((v1_lattice3 B) /\ ((v2_lattice3 B) /\ ((v3_lattice3 B) /\ ((l1_orders_2 B) /\ ((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 A) (u1_struct_0 B)) /\ ((v17_waybel_0 C A B) /\ (m1_relset_1 C (u1_struct_0 A) (u1_struct_0 B))))))))))))))))))) => ((v1_relat_1 (k1_waybel34 A B C)) /\ ((v1_funct_1 (k1_waybel34 A B C)) /\ ((-. (v1_xboole_0 (k1_waybel34 A B C))) /\ ((v1_funct_2 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)) /\ ((v1_partfun1 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)) /\ ((v18_waybel_0 (k1_waybel34 A B C) B A) /\ ((v20_waybel_0 (k1_waybel34 A B C) B A) /\ ((v22_waybel_0 (k1_waybel34 A B C) B A) /\ ((v5_waybel_1 (k1_waybel34 A B C) A B) /\ (v5_orders_3 (k1_waybel34 A B C) 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) /\ (l1_orders_2 B))))))) => (All C, (((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 B) (u1_struct_0 A)) /\ ((v18_waybel_0 C B A) /\ (m2_relset_1 C (u1_struct_0 B) (u1_struct_0 A))))) => ((v3_waybel34 C B A) <=> ((v1_funct_1 (k8_relset_1 (u1_struct_0 B) (u1_struct_0 A) C (u1_struct_0 (k1_waybel_8 B)))) /\ ((v1_funct_2 (k8_relset_1 (u1_struct_0 B) (u1_struct_0 A) C (u1_struct_0 (k1_waybel_8 B))) (u1_struct_0 (k1_waybel_8 B)) (u1_struct_0 (k1_waybel_8 A))) /\ ((v4_waybel34 (k8_relset_1 (u1_struct_0 B) (u1_struct_0 A) C (u1_struct_0 (k1_waybel_8 B))) (k1_waybel_8 B) (k1_waybel_8 A)) /\ (m2_relset_1 (k8_relset_1 (u1_struct_0 B) (u1_struct_0 A) C (u1_struct_0 (k1_waybel_8 B))) (u1_struct_0 (k1_waybel_8 B)) (u1_struct_0 (k1_waybel_8 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) /\ (l1_orders_2 B))))))) => (All C, (((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 B) (u1_struct_0 A)) /\ ((v18_waybel_0 C B A) /\ (m2_relset_1 C (u1_struct_0 B) (u1_struct_0 A))))) => ((v1_waybel34 C B A) => (v3_waybel34 C 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) /\ (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))))) => ((v22_waybel_0 C A B) => (v1_waybel34 (k1_waybel34 A B C) B A)))))))) ### NotAllEx 318
% 3.61/3.84 320. (-. (((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, (((v2_orders_2 B) /\ ((v3_orders_2 B) /\ ((v4_orders_2 B) /\ ((v1_lattice3 B) /\ ((v2_lattice3 B) /\ ((v3_lattice3 B) /\ (l1_orders_2 B))))))) => ((v2_waybel_8 B) => (All C, (((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 T_0) (u1_struct_0 B)) /\ ((v17_waybel_0 C T_0 B) /\ (m2_relset_1 C (u1_struct_0 T_0) (u1_struct_0 B))))) => ((v22_waybel_0 C T_0 B) <=> ((v1_funct_1 (k8_relset_1 (u1_struct_0 B) (u1_struct_0 T_0) (k1_waybel34 T_0 B C) (u1_struct_0 (k1_waybel_8 B)))) /\ ((v1_funct_2 (k8_relset_1 (u1_struct_0 B) (u1_struct_0 T_0) (k1_waybel34 T_0 B C) (u1_struct_0 (k1_waybel_8 B))) (u1_struct_0 (k1_waybel_8 B)) (u1_struct_0 (k1_waybel_8 T_0))) /\ ((v4_waybel34 (k8_relset_1 (u1_struct_0 B) (u1_struct_0 T_0) (k1_waybel34 T_0 B C) (u1_struct_0 (k1_waybel_8 B))) (k1_waybel_8 B) (k1_waybel_8 T_0)) /\ (m2_relset_1 (k8_relset_1 (u1_struct_0 B) (u1_struct_0 T_0) (k1_waybel34 T_0 B C) (u1_struct_0 (k1_waybel_8 B))) (u1_struct_0 (k1_waybel_8 B)) (u1_struct_0 (k1_waybel_8 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) /\ (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))))) => ((v22_waybel_0 C A B) => (v1_waybel34 (k1_waybel34 A B C) 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) /\ (l1_orders_2 B))))))) => (All C, (((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 B) (u1_struct_0 A)) /\ ((v18_waybel_0 C B A) /\ (m2_relset_1 C (u1_struct_0 B) (u1_struct_0 A))))) => ((v1_waybel34 C B A) => (v3_waybel34 C 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) /\ (l1_orders_2 B))))))) => (All C, (((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 B) (u1_struct_0 A)) /\ ((v18_waybel_0 C B A) /\ (m2_relset_1 C (u1_struct_0 B) (u1_struct_0 A))))) => ((v3_waybel34 C B A) <=> ((v1_funct_1 (k8_relset_1 (u1_struct_0 B) (u1_struct_0 A) C (u1_struct_0 (k1_waybel_8 B)))) /\ ((v1_funct_2 (k8_relset_1 (u1_struct_0 B) (u1_struct_0 A) C (u1_struct_0 (k1_waybel_8 B))) (u1_struct_0 (k1_waybel_8 B)) (u1_struct_0 (k1_waybel_8 A))) /\ ((v4_waybel34 (k8_relset_1 (u1_struct_0 B) (u1_struct_0 A) C (u1_struct_0 (k1_waybel_8 B))) (k1_waybel_8 B) (k1_waybel_8 A)) /\ (m2_relset_1 (k8_relset_1 (u1_struct_0 B) (u1_struct_0 A) C (u1_struct_0 (k1_waybel_8 B))) (u1_struct_0 (k1_waybel_8 B)) (u1_struct_0 (k1_waybel_8 A))))))))))))) (All A, (All B, (All C, (((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) /\ ((v2_orders_2 B) /\ ((v3_orders_2 B) /\ ((v4_orders_2 B) /\ ((v1_lattice3 B) /\ ((v2_lattice3 B) /\ ((v3_lattice3 B) /\ ((l1_orders_2 B) /\ ((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 A) (u1_struct_0 B)) /\ ((v17_waybel_0 C A B) /\ (m1_relset_1 C (u1_struct_0 A) (u1_struct_0 B))))))))))))))))))) => ((v1_relat_1 (k1_waybel34 A B C)) /\ ((v1_funct_1 (k1_waybel34 A B C)) /\ ((-. (v1_xboole_0 (k1_waybel34 A B C))) /\ ((v1_funct_2 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)) /\ ((v1_partfun1 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)) /\ ((v18_waybel_0 (k1_waybel34 A B C) B A) /\ ((v20_waybel_0 (k1_waybel34 A B C) B A) /\ ((v22_waybel_0 (k1_waybel34 A B C) B A) /\ ((v5_waybel_1 (k1_waybel34 A B C) A B) /\ (v5_orders_3 (k1_waybel34 A B C) B A)))))))))))))) (All A, (All B, (All C, (((v2_orders_2 A) /\ ((v3_orders_2 A) /\ ((v4_orders_2 A) /\ ((v1_lattice3 A) /\ ((v2_lattice3 A) /\ ((l1_orders_2 A) /\ ((v2_orders_2 B) /\ ((v3_orders_2 B) /\ ((v4_orders_2 B) /\ ((v1_lattice3 B) /\ ((v2_lattice3 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 (k1_waybel34 A B C)) /\ ((v1_funct_2 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)) /\ (m2_relset_1 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 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) /\ (l1_orders_2 B))))))) => (All C, (((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 B) (u1_struct_0 A)) /\ ((v18_waybel_0 C B A) /\ (m2_relset_1 C (u1_struct_0 B) (u1_struct_0 A))))) => (((v2_waybel_8 B) /\ (v3_waybel34 C B A)) => (v1_waybel34 C B A)))))))) (All A, (((v2_orders_2 A) /\ ((v3_orders_2 A) /\ ((v4_orders_2 A) /\ ((v1_lattice3 A) /\ ((v2_lattice3 A) /\ (l1_orders_2 A)))))) => ((v2_waybel_8 A) <=> ((v3_waybel_3 A) /\ (All B, ((m1_subset_1 B (u1_struct_0 A)) => (All C, ((m1_subset_1 C (u1_struct_0 A)) => (-. ((r1_waybel_3 A B C) /\ (All D, ((m1_subset_1 D (u1_struct_0 A)) => (-. ((r2_hidden D (u1_struct_0 (k1_waybel_8 A))) /\ ((r3_orders_2 A B D) /\ (r3_orders_2 A D C)))))))))))))))) (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 319
% 3.61/3.84 321. (-. (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) /\ (l1_orders_2 B))))))) => ((v2_waybel_8 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))))) => ((v22_waybel_0 C A B) <=> ((v1_funct_1 (k8_relset_1 (u1_struct_0 B) (u1_struct_0 A) (k1_waybel34 A B C) (u1_struct_0 (k1_waybel_8 B)))) /\ ((v1_funct_2 (k8_relset_1 (u1_struct_0 B) (u1_struct_0 A) (k1_waybel34 A B C) (u1_struct_0 (k1_waybel_8 B))) (u1_struct_0 (k1_waybel_8 B)) (u1_struct_0 (k1_waybel_8 A))) /\ ((v4_waybel34 (k8_relset_1 (u1_struct_0 B) (u1_struct_0 A) (k1_waybel34 A B C) (u1_struct_0 (k1_waybel_8 B))) (k1_waybel_8 B) (k1_waybel_8 A)) /\ (m2_relset_1 (k8_relset_1 (u1_struct_0 B) (u1_struct_0 A) (k1_waybel34 A B C) (u1_struct_0 (k1_waybel_8 B))) (u1_struct_0 (k1_waybel_8 B)) (u1_struct_0 (k1_waybel_8 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) /\ (l1_orders_2 A)))))) => ((v2_waybel_8 A) <=> ((v3_waybel_3 A) /\ (All B, ((m1_subset_1 B (u1_struct_0 A)) => (All C, ((m1_subset_1 C (u1_struct_0 A)) => (-. ((r1_waybel_3 A B C) /\ (All D, ((m1_subset_1 D (u1_struct_0 A)) => (-. ((r2_hidden D (u1_struct_0 (k1_waybel_8 A))) /\ ((r3_orders_2 A B D) /\ (r3_orders_2 A D C)))))))))))))))) (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) /\ (l1_orders_2 B))))))) => (All C, (((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 B) (u1_struct_0 A)) /\ ((v18_waybel_0 C B A) /\ (m2_relset_1 C (u1_struct_0 B) (u1_struct_0 A))))) => (((v2_waybel_8 B) /\ (v3_waybel34 C B A)) => (v1_waybel34 C B A)))))))) (All A, (All B, (All C, (((v2_orders_2 A) /\ ((v3_orders_2 A) /\ ((v4_orders_2 A) /\ ((v1_lattice3 A) /\ ((v2_lattice3 A) /\ ((l1_orders_2 A) /\ ((v2_orders_2 B) /\ ((v3_orders_2 B) /\ ((v4_orders_2 B) /\ ((v1_lattice3 B) /\ ((v2_lattice3 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 (k1_waybel34 A B C)) /\ ((v1_funct_2 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)) /\ (m2_relset_1 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)))))))) (All A, (All B, (All C, (((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) /\ ((v2_orders_2 B) /\ ((v3_orders_2 B) /\ ((v4_orders_2 B) /\ ((v1_lattice3 B) /\ ((v2_lattice3 B) /\ ((v3_lattice3 B) /\ ((l1_orders_2 B) /\ ((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 A) (u1_struct_0 B)) /\ ((v17_waybel_0 C A B) /\ (m1_relset_1 C (u1_struct_0 A) (u1_struct_0 B))))))))))))))))))) => ((v1_relat_1 (k1_waybel34 A B C)) /\ ((v1_funct_1 (k1_waybel34 A B C)) /\ ((-. (v1_xboole_0 (k1_waybel34 A B C))) /\ ((v1_funct_2 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)) /\ ((v1_partfun1 (k1_waybel34 A B C) (u1_struct_0 B) (u1_struct_0 A)) /\ ((v18_waybel_0 (k1_waybel34 A B C) B A) /\ ((v20_waybel_0 (k1_waybel34 A B C) B A) /\ ((v22_waybel_0 (k1_waybel34 A B C) B A) /\ ((v5_waybel_1 (k1_waybel34 A B C) A B) /\ (v5_orders_3 (k1_waybel34 A B C) 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) /\ (l1_orders_2 B))))))) => (All C, (((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 B) (u1_struct_0 A)) /\ ((v18_waybel_0 C B A) /\ (m2_relset_1 C (u1_struct_0 B) (u1_struct_0 A))))) => ((v3_waybel34 C B A) <=> ((v1_funct_1 (k8_relset_1 (u1_struct_0 B) (u1_struct_0 A) C (u1_struct_0 (k1_waybel_8 B)))) /\ ((v1_funct_2 (k8_relset_1 (u1_struct_0 B) (u1_struct_0 A) C (u1_struct_0 (k1_waybel_8 B))) (u1_struct_0 (k1_waybel_8 B)) (u1_struct_0 (k1_waybel_8 A))) /\ ((v4_waybel34 (k8_relset_1 (u1_struct_0 B) (u1_struct_0 A) C (u1_struct_0 (k1_waybel_8 B))) (k1_waybel_8 B) (k1_waybel_8 A)) /\ (m2_relset_1 (k8_relset_1 (u1_struct_0 B) (u1_struct_0 A) C (u1_struct_0 (k1_waybel_8 B))) (u1_struct_0 (k1_waybel_8 B)) (u1_struct_0 (k1_waybel_8 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) /\ (l1_orders_2 B))))))) => (All C, (((v1_funct_1 C) /\ ((v1_funct_2 C (u1_struct_0 B) (u1_struct_0 A)) /\ ((v18_waybel_0 C B A) /\ (m2_relset_1 C (u1_struct_0 B) (u1_struct_0 A))))) => ((v1_waybel34 C B A) => (v3_waybel34 C 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) /\ (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))))) => ((v22_waybel_0 C A B) => (v1_waybel34 (k1_waybel34 A B C) B A)))))))) ### NotAllEx 320
% 3.61/3.84 % SZS output end Proof
% 3.61/3.84 (* END-PROOF *)
%------------------------------------------------------------------------------