TSTP Solution File: LCL676+1.001 by SuperZenon---0.0.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SuperZenon---0.0.1
% Problem : LCL676+1.001 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_super_zenon -p0 -itptp -om -max-time %d %s
% Computer : n017.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 14:53:00 EDT 2022
% Result : Theorem 3.50s 3.74s
% Output : Proof 3.66s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : LCL676+1.001 : TPTP v8.1.0. Released v4.0.0.
% 0.04/0.12 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s
% 0.12/0.33 % Computer : n017.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sat Jul 2 11:27:55 EDT 2022
% 0.12/0.33 % CPUTime :
% 3.50/3.74 % SZS status Theorem
% 3.50/3.74 (* PROOF-FOUND *)
% 3.50/3.74 (* BEGIN-PROOF *)
% 3.50/3.74 % SZS output start Proof
% 3.50/3.74 1. (r1 T_0 T_1) (-. (r1 T_0 T_1)) ### Axiom
% 3.50/3.74 2. (T_2 != T_2) ### Refl(=)
% 3.50/3.74 3. (-. (r1 T_0 T_2)) (r1 T_1 T_2) (r1 T_0 T_1) ### Trans 1 2
% 3.50/3.74 4. (All Y, ((-. (r1 T_2 Y)) \/ (-. (p3 Y)))) (-. (All Y, ((-. (r1 T_2 Y)) \/ (-. (p3 Y))))) ### Axiom
% 3.50/3.74 5. ((-. (r1 T_0 T_2)) \/ (-. (All Y, ((-. (r1 T_2 Y)) \/ (-. (p3 Y)))))) (All Y, ((-. (r1 T_2 Y)) \/ (-. (p3 Y)))) (r1 T_0 T_1) (r1 T_1 T_2) ### Or 3 4
% 3.50/3.74 6. (All Y, ((-. (r1 T_0 Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. (p3 X))))))) (r1 T_1 T_2) (r1 T_0 T_1) (All Y, ((-. (r1 T_2 Y)) \/ (-. (p3 Y)))) ### All 5
% 3.50/3.74 7. (-. (-. (All Y, ((-. (r1 T_0 Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. (p3 X))))))))) (All Y, ((-. (r1 T_2 Y)) \/ (-. (p3 Y)))) (r1 T_0 T_1) (r1 T_1 T_2) ### NotNot 6
% 3.50/3.74 8. (r1 T_0 T_3) (-. (r1 T_0 T_3)) ### Axiom
% 3.50/3.74 9. (-. (p2 T_3)) (p2 T_3) ### Axiom
% 3.50/3.74 10. (r1 T_0 T_3) (-. (r1 T_0 T_3)) ### Axiom
% 3.50/3.74 11. (T_4 != T_4) ### Refl(=)
% 3.50/3.74 12. (-. (r1 T_0 T_4)) (r1 T_3 T_4) (r1 T_0 T_3) ### Trans 10 11
% 3.50/3.74 13. (-. (p2 T_4)) (p2 T_4) ### Axiom
% 3.50/3.74 14. (T_5 != T_5) ### Refl(=)
% 3.50/3.74 15. (-. (r1 T_0 T_5)) (r1 T_4 T_5) (r1 T_0 T_3) (r1 T_3 T_4) ### Trans 12 14
% 3.50/3.74 16. (-. (p2 T_5)) (p2 T_5) ### Axiom
% 3.50/3.74 17. (T_6 != T_6) ### Refl(=)
% 3.50/3.74 18. (-. (r1 T_0 T_6)) (r1 T_5 T_6) (r1 T_3 T_4) (r1 T_0 T_3) (r1 T_4 T_5) ### Trans 15 17
% 3.50/3.74 19. (-. (p2 T_6)) (p2 T_6) ### Axiom
% 3.50/3.74 20. (T_7 != T_7) ### Refl(=)
% 3.50/3.74 21. (-. (r1 T_0 T_7)) (r1 T_6 T_7) (r1 T_4 T_5) (r1 T_0 T_3) (r1 T_3 T_4) (r1 T_5 T_6) ### Trans 18 20
% 3.50/3.74 22. (-. (p2 T_7)) (p2 T_7) ### Axiom
% 3.50/3.74 23. (T_8 != T_8) ### Refl(=)
% 3.50/3.74 24. (-. (r1 T_0 T_8)) (r1 T_7 T_8) (r1 T_5 T_6) (r1 T_3 T_4) (r1 T_0 T_3) (r1 T_4 T_5) (r1 T_6 T_7) ### Trans 21 23
% 3.50/3.74 25. (-. (p2 T_8)) (p2 T_8) ### Axiom
% 3.50/3.74 26. (T_9 != T_9) ### Refl(=)
% 3.50/3.74 27. (-. (r1 T_0 T_9)) (r1 T_8 T_9) (r1 T_6 T_7) (r1 T_4 T_5) (r1 T_0 T_3) (r1 T_3 T_4) (r1 T_5 T_6) (r1 T_7 T_8) ### Trans 24 26
% 3.50/3.74 28. (-. (p2 T_9)) (p2 T_9) ### Axiom
% 3.50/3.74 29. (T_10 != T_10) ### Refl(=)
% 3.50/3.74 30. (-. (r1 T_0 T_10)) (r1 T_9 T_10) (r1 T_7 T_8) (r1 T_5 T_6) (r1 T_3 T_4) (r1 T_0 T_3) (r1 T_4 T_5) (r1 T_6 T_7) (r1 T_8 T_9) ### Trans 27 29
% 3.50/3.74 31. (-. (p2 T_10)) (p2 T_10) ### Axiom
% 3.50/3.74 32. (T_11 != T_11) ### Refl(=)
% 3.50/3.74 33. (-. (r1 T_0 T_11)) (r1 T_10 T_11) (r1 T_8 T_9) (r1 T_6 T_7) (r1 T_4 T_5) (r1 T_0 T_3) (r1 T_3 T_4) (r1 T_5 T_6) (r1 T_7 T_8) (r1 T_9 T_10) ### Trans 30 32
% 3.50/3.74 34. (-. (p2 T_11)) (p2 T_11) ### Axiom
% 3.50/3.74 35. (T_12 != T_12) ### Refl(=)
% 3.50/3.74 36. (-. (r1 T_0 T_12)) (r1 T_11 T_12) (r1 T_9 T_10) (r1 T_7 T_8) (r1 T_5 T_6) (r1 T_3 T_4) (r1 T_0 T_3) (r1 T_4 T_5) (r1 T_6 T_7) (r1 T_8 T_9) (r1 T_10 T_11) ### Trans 33 35
% 3.50/3.74 37. (-. (p2 T_12)) (p2 T_12) ### Axiom
% 3.50/3.74 38. (T_13 != T_13) ### Refl(=)
% 3.50/3.74 39. (-. (r1 T_0 T_13)) (r1 T_12 T_13) (r1 T_10 T_11) (r1 T_8 T_9) (r1 T_6 T_7) (r1 T_4 T_5) (r1 T_0 T_3) (r1 T_3 T_4) (r1 T_5 T_6) (r1 T_7 T_8) (r1 T_9 T_10) (r1 T_11 T_12) ### Trans 36 38
% 3.50/3.74 40. (-. (p2 T_13)) (p2 T_13) ### Axiom
% 3.50/3.74 41. (T_14 != T_14) ### Refl(=)
% 3.50/3.74 42. (-. (r1 T_0 T_14)) (r1 T_13 T_14) (r1 T_11 T_12) (r1 T_9 T_10) (r1 T_7 T_8) (r1 T_5 T_6) (r1 T_3 T_4) (r1 T_0 T_3) (r1 T_4 T_5) (r1 T_6 T_7) (r1 T_8 T_9) (r1 T_10 T_11) (r1 T_12 T_13) ### Trans 39 41
% 3.50/3.74 43. (-. (p2 T_14)) (p2 T_14) ### Axiom
% 3.50/3.74 44. (T_15 != T_15) ### Refl(=)
% 3.50/3.74 45. (-. (r1 T_0 T_15)) (r1 T_14 T_15) (r1 T_12 T_13) (r1 T_10 T_11) (r1 T_8 T_9) (r1 T_6 T_7) (r1 T_4 T_5) (r1 T_0 T_3) (r1 T_3 T_4) (r1 T_5 T_6) (r1 T_7 T_8) (r1 T_9 T_10) (r1 T_11 T_12) (r1 T_13 T_14) ### Trans 42 44
% 3.50/3.74 46. (-. (p2 T_15)) (p2 T_15) ### Axiom
% 3.50/3.74 47. (T_16 != T_16) ### Refl(=)
% 3.50/3.74 48. (-. (r1 T_0 T_16)) (r1 T_15 T_16) (r1 T_13 T_14) (r1 T_11 T_12) (r1 T_9 T_10) (r1 T_7 T_8) (r1 T_5 T_6) (r1 T_3 T_4) (r1 T_0 T_3) (r1 T_4 T_5) (r1 T_6 T_7) (r1 T_8 T_9) (r1 T_10 T_11) (r1 T_12 T_13) (r1 T_14 T_15) ### Trans 45 47
% 3.50/3.74 49. (-. (p2 T_16)) (p2 T_16) ### Axiom
% 3.50/3.74 50. (T_17 != T_17) ### Refl(=)
% 3.50/3.74 51. (-. (r1 T_0 T_17)) (r1 T_16 T_17) (r1 T_14 T_15) (r1 T_12 T_13) (r1 T_10 T_11) (r1 T_8 T_9) (r1 T_6 T_7) (r1 T_4 T_5) (r1 T_0 T_3) (r1 T_3 T_4) (r1 T_5 T_6) (r1 T_7 T_8) (r1 T_9 T_10) (r1 T_11 T_12) (r1 T_13 T_14) (r1 T_15 T_16) ### Trans 48 50
% 3.50/3.74 52. (-. (p2 T_17)) (p2 T_17) ### Axiom
% 3.50/3.74 53. (T_18 != T_18) ### Refl(=)
% 3.50/3.74 54. (-. (r1 T_0 T_18)) (r1 T_17 T_18) (r1 T_15 T_16) (r1 T_13 T_14) (r1 T_11 T_12) (r1 T_9 T_10) (r1 T_7 T_8) (r1 T_5 T_6) (r1 T_3 T_4) (r1 T_0 T_3) (r1 T_4 T_5) (r1 T_6 T_7) (r1 T_8 T_9) (r1 T_10 T_11) (r1 T_12 T_13) (r1 T_14 T_15) (r1 T_16 T_17) ### Trans 51 53
% 3.50/3.74 55. (-. (p2 T_18)) (p2 T_18) ### Axiom
% 3.50/3.74 56. (T_19 != T_19) ### Refl(=)
% 3.50/3.74 57. (-. (r1 T_0 T_19)) (r1 T_18 T_19) (r1 T_16 T_17) (r1 T_14 T_15) (r1 T_12 T_13) (r1 T_10 T_11) (r1 T_8 T_9) (r1 T_6 T_7) (r1 T_4 T_5) (r1 T_0 T_3) (r1 T_3 T_4) (r1 T_5 T_6) (r1 T_7 T_8) (r1 T_9 T_10) (r1 T_11 T_12) (r1 T_13 T_14) (r1 T_15 T_16) (r1 T_17 T_18) ### Trans 54 56
% 3.50/3.74 58. (-. (p2 T_19)) (p2 T_19) ### Axiom
% 3.50/3.74 59. (T_20 != T_20) ### Refl(=)
% 3.50/3.74 60. (-. (r1 T_0 T_20)) (r1 T_19 T_20) (r1 T_17 T_18) (r1 T_15 T_16) (r1 T_13 T_14) (r1 T_11 T_12) (r1 T_9 T_10) (r1 T_7 T_8) (r1 T_5 T_6) (r1 T_3 T_4) (r1 T_0 T_3) (r1 T_4 T_5) (r1 T_6 T_7) (r1 T_8 T_9) (r1 T_10 T_11) (r1 T_12 T_13) (r1 T_14 T_15) (r1 T_16 T_17) (r1 T_18 T_19) ### Trans 57 59
% 3.50/3.74 61. (-. (p2 T_20)) (p2 T_20) ### Axiom
% 3.50/3.74 62. (T_21 != T_21) ### Refl(=)
% 3.50/3.74 63. (-. (r1 T_0 T_21)) (r1 T_20 T_21) (r1 T_18 T_19) (r1 T_16 T_17) (r1 T_14 T_15) (r1 T_12 T_13) (r1 T_10 T_11) (r1 T_8 T_9) (r1 T_6 T_7) (r1 T_4 T_5) (r1 T_0 T_3) (r1 T_3 T_4) (r1 T_5 T_6) (r1 T_7 T_8) (r1 T_9 T_10) (r1 T_11 T_12) (r1 T_13 T_14) (r1 T_15 T_16) (r1 T_17 T_18) (r1 T_19 T_20) ### Trans 60 62
% 3.50/3.74 64. (-. (p2 T_21)) (p2 T_21) ### Axiom
% 3.50/3.74 65. (All Y, ((-. (r1 T_21 Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ (-. (p2 Y))))) (-. (All Y, ((-. (r1 T_21 Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ (-. (p2 Y)))))) ### Axiom
% 3.50/3.74 66. ((-. (r1 T_0 T_21)) \/ ((p2 T_21) \/ (-. (All Y, ((-. (r1 T_21 Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ (-. (p2 Y)))))))) (All Y, ((-. (r1 T_21 Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ (-. (p2 Y))))) (-. (p2 T_21)) (r1 T_19 T_20) (r1 T_17 T_18) (r1 T_15 T_16) (r1 T_13 T_14) (r1 T_11 T_12) (r1 T_9 T_10) (r1 T_7 T_8) (r1 T_5 T_6) (r1 T_3 T_4) (r1 T_0 T_3) (r1 T_4 T_5) (r1 T_6 T_7) (r1 T_8 T_9) (r1 T_10 T_11) (r1 T_12 T_13) (r1 T_14 T_15) (r1 T_16 T_17) (r1 T_18 T_19) (r1 T_20 T_21) ### DisjTree 63 64 65
% 3.50/3.74 67. (All Y, ((-. (r1 T_0 Y)) \/ ((p2 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ (-. (p2 X))))))))) (r1 T_20 T_21) (r1 T_18 T_19) (r1 T_16 T_17) (r1 T_14 T_15) (r1 T_12 T_13) (r1 T_10 T_11) (r1 T_8 T_9) (r1 T_6 T_7) (r1 T_4 T_5) (r1 T_0 T_3) (r1 T_3 T_4) (r1 T_5 T_6) (r1 T_7 T_8) (r1 T_9 T_10) (r1 T_11 T_12) (r1 T_13 T_14) (r1 T_15 T_16) (r1 T_17 T_18) (r1 T_19 T_20) (-. (p2 T_21)) (All Y, ((-. (r1 T_21 Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ (-. (p2 Y))))) ### All 66
% 3.50/3.74 68. (-. ((-. (r1 T_20 T_21)) \/ ((p2 T_21) \/ (-. (All Y, ((-. (r1 T_21 Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ (-. (p2 Y))))))))) (r1 T_19 T_20) (r1 T_17 T_18) (r1 T_15 T_16) (r1 T_13 T_14) (r1 T_11 T_12) (r1 T_9 T_10) (r1 T_7 T_8) (r1 T_5 T_6) (r1 T_3 T_4) (r1 T_0 T_3) (r1 T_4 T_5) (r1 T_6 T_7) (r1 T_8 T_9) (r1 T_10 T_11) (r1 T_12 T_13) (r1 T_14 T_15) (r1 T_16 T_17) (r1 T_18 T_19) (All Y, ((-. (r1 T_0 Y)) \/ ((p2 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ (-. (p2 X))))))))) ### ConjTree 67
% 3.50/3.74 69. (-. (All X, ((-. (r1 T_20 X)) \/ ((p2 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ (-. (p2 Y)))))))))) (All Y, ((-. (r1 T_0 Y)) \/ ((p2 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ (-. (p2 X))))))))) (r1 T_18 T_19) (r1 T_16 T_17) (r1 T_14 T_15) (r1 T_12 T_13) (r1 T_10 T_11) (r1 T_8 T_9) (r1 T_6 T_7) (r1 T_4 T_5) (r1 T_0 T_3) (r1 T_3 T_4) (r1 T_5 T_6) (r1 T_7 T_8) (r1 T_9 T_10) (r1 T_11 T_12) (r1 T_13 T_14) (r1 T_15 T_16) (r1 T_17 T_18) (r1 T_19 T_20) ### NotAllEx 68
% 3.50/3.74 70. ((-. (r1 T_0 T_20)) \/ ((p2 T_20) \/ (-. (All X, ((-. (r1 T_20 X)) \/ ((p2 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ (-. (p2 Y)))))))))))) (All Y, ((-. (r1 T_0 Y)) \/ ((p2 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ (-. (p2 X))))))))) (-. (p2 T_20)) (r1 T_18 T_19) (r1 T_16 T_17) (r1 T_14 T_15) (r1 T_12 T_13) (r1 T_10 T_11) (r1 T_8 T_9) (r1 T_6 T_7) (r1 T_4 T_5) (r1 T_0 T_3) (r1 T_3 T_4) (r1 T_5 T_6) (r1 T_7 T_8) (r1 T_9 T_10) (r1 T_11 T_12) (r1 T_13 T_14) (r1 T_15 T_16) (r1 T_17 T_18) (r1 T_19 T_20) ### DisjTree 60 61 69
% 3.50/3.76 71. (All Y, ((-. (r1 T_0 Y)) \/ ((p2 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((p2 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ (-. (p2 Y))))))))))))) (r1 T_19 T_20) (r1 T_17 T_18) (r1 T_15 T_16) (r1 T_13 T_14) (r1 T_11 T_12) (r1 T_9 T_10) (r1 T_7 T_8) (r1 T_5 T_6) (r1 T_3 T_4) (r1 T_0 T_3) (r1 T_4 T_5) (r1 T_6 T_7) (r1 T_8 T_9) (r1 T_10 T_11) (r1 T_12 T_13) (r1 T_14 T_15) (r1 T_16 T_17) (r1 T_18 T_19) (-. (p2 T_20)) (All Y, ((-. (r1 T_0 Y)) \/ ((p2 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ (-. (p2 X))))))))) ### All 70
% 3.50/3.76 72. (-. ((-. (r1 T_19 T_20)) \/ ((p2 T_20) \/ (-. (All Y, ((-. (r1 T_20 Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ (-. (p2 Y))))))))) (All Y, ((-. (r1 T_0 Y)) \/ ((p2 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ (-. (p2 X))))))))) (r1 T_18 T_19) (r1 T_16 T_17) (r1 T_14 T_15) (r1 T_12 T_13) (r1 T_10 T_11) (r1 T_8 T_9) (r1 T_6 T_7) (r1 T_4 T_5) (r1 T_0 T_3) (r1 T_3 T_4) (r1 T_5 T_6) (r1 T_7 T_8) (r1 T_9 T_10) (r1 T_11 T_12) (r1 T_13 T_14) (r1 T_15 T_16) (r1 T_17 T_18) (All Y, ((-. (r1 T_0 Y)) \/ ((p2 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((p2 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ (-. (p2 Y))))))))))))) ### ConjTree 71
% 3.50/3.76 73. (-. (All X, ((-. (r1 T_19 X)) \/ ((p2 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ (-. (p2 Y)))))))))) (All Y, ((-. (r1 T_0 Y)) \/ ((p2 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((p2 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ (-. (p2 Y))))))))))))) (r1 T_17 T_18) (r1 T_15 T_16) (r1 T_13 T_14) (r1 T_11 T_12) (r1 T_9 T_10) (r1 T_7 T_8) (r1 T_5 T_6) (r1 T_3 T_4) (r1 T_0 T_3) (r1 T_4 T_5) (r1 T_6 T_7) (r1 T_8 T_9) (r1 T_10 T_11) (r1 T_12 T_13) (r1 T_14 T_15) (r1 T_16 T_17) (r1 T_18 T_19) (All Y, ((-. (r1 T_0 Y)) \/ ((p2 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ (-. (p2 X))))))))) ### NotAllEx 72
% 3.50/3.76 74. ((-. (r1 T_0 T_19)) \/ ((p2 T_19) \/ (-. (All X, ((-. (r1 T_19 X)) \/ ((p2 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ (-. (p2 Y)))))))))))) (All Y, ((-. (r1 T_0 Y)) \/ ((p2 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ (-. (p2 X))))))))) (All Y, ((-. (r1 T_0 Y)) \/ ((p2 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((p2 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ (-. (p2 Y))))))))))))) (-. (p2 T_19)) (r1 T_17 T_18) (r1 T_15 T_16) (r1 T_13 T_14) (r1 T_11 T_12) (r1 T_9 T_10) (r1 T_7 T_8) (r1 T_5 T_6) (r1 T_3 T_4) (r1 T_0 T_3) (r1 T_4 T_5) (r1 T_6 T_7) (r1 T_8 T_9) (r1 T_10 T_11) (r1 T_12 T_13) (r1 T_14 T_15) (r1 T_16 T_17) (r1 T_18 T_19) ### DisjTree 57 58 73
% 3.50/3.76 75. (r1 T_18 T_19) (r1 T_16 T_17) (r1 T_14 T_15) (r1 T_12 T_13) (r1 T_10 T_11) (r1 T_8 T_9) (r1 T_6 T_7) (r1 T_4 T_5) (r1 T_0 T_3) (r1 T_3 T_4) (r1 T_5 T_6) (r1 T_7 T_8) (r1 T_9 T_10) (r1 T_11 T_12) (r1 T_13 T_14) (r1 T_15 T_16) (r1 T_17 T_18) (-. (p2 T_19)) (All Y, ((-. (r1 T_0 Y)) \/ ((p2 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((p2 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ (-. (p2 Y))))))))))))) (All Y, ((-. (r1 T_0 Y)) \/ ((p2 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ (-. (p2 X))))))))) ### All 74
% 3.50/3.76 76. (-. ((-. (r1 T_18 T_19)) \/ ((p2 T_19) \/ (-. (All Y, ((-. (r1 T_19 Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ (-. (p2 Y))))))))) (All Y, ((-. (r1 T_0 Y)) \/ ((p2 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ (-. (p2 X))))))))) (All Y, ((-. (r1 T_0 Y)) \/ ((p2 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((p2 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ (-. (p2 Y))))))))))))) (r1 T_17 T_18) (r1 T_15 T_16) (r1 T_13 T_14) (r1 T_11 T_12) (r1 T_9 T_10) (r1 T_7 T_8) (r1 T_5 T_6) (r1 T_3 T_4) (r1 T_0 T_3) (r1 T_4 T_5) (r1 T_6 T_7) (r1 T_8 T_9) (r1 T_10 T_11) (r1 T_12 T_13) (r1 T_14 T_15) (r1 T_16 T_17) ### ConjTree 75
% 3.50/3.76 77. (-. (All X, ((-. (r1 T_18 X)) \/ ((p2 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ (-. (p2 Y)))))))))) (r1 T_16 T_17) (r1 T_14 T_15) (r1 T_12 T_13) (r1 T_10 T_11) (r1 T_8 T_9) (r1 T_6 T_7) (r1 T_4 T_5) (r1 T_0 T_3) (r1 T_3 T_4) (r1 T_5 T_6) (r1 T_7 T_8) (r1 T_9 T_10) (r1 T_11 T_12) (r1 T_13 T_14) (r1 T_15 T_16) (r1 T_17 T_18) (All Y, ((-. (r1 T_0 Y)) \/ ((p2 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((p2 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ (-. (p2 Y))))))))))))) (All Y, ((-. (r1 T_0 Y)) \/ ((p2 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ (-. (p2 X))))))))) ### NotAllEx 76
% 3.50/3.76 78. ((-. (r1 T_0 T_18)) \/ ((p2 T_18) \/ (-. (All X, ((-. (r1 T_18 X)) \/ ((p2 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ (-. (p2 Y)))))))))))) (All Y, ((-. (r1 T_0 Y)) \/ ((p2 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ (-. (p2 X))))))))) (All Y, ((-. (r1 T_0 Y)) \/ ((p2 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((p2 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ (-. (p2 Y))))))))))))) (-. (p2 T_18)) (r1 T_16 T_17) (r1 T_14 T_15) (r1 T_12 T_13) (r1 T_10 T_11) (r1 T_8 T_9) (r1 T_6 T_7) (r1 T_4 T_5) (r1 T_0 T_3) (r1 T_3 T_4) (r1 T_5 T_6) (r1 T_7 T_8) (r1 T_9 T_10) (r1 T_11 T_12) (r1 T_13 T_14) (r1 T_15 T_16) (r1 T_17 T_18) ### DisjTree 54 55 77
% 3.50/3.76 79. (r1 T_17 T_18) (r1 T_15 T_16) (r1 T_13 T_14) (r1 T_11 T_12) (r1 T_9 T_10) (r1 T_7 T_8) (r1 T_5 T_6) (r1 T_3 T_4) (r1 T_0 T_3) (r1 T_4 T_5) (r1 T_6 T_7) (r1 T_8 T_9) (r1 T_10 T_11) (r1 T_12 T_13) (r1 T_14 T_15) (r1 T_16 T_17) (-. (p2 T_18)) (All Y, ((-. (r1 T_0 Y)) \/ ((p2 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((p2 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ (-. (p2 Y))))))))))))) (All Y, ((-. (r1 T_0 Y)) \/ ((p2 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ (-. (p2 X))))))))) ### All 78
% 3.50/3.76 80. (-. ((-. (r1 T_17 T_18)) \/ ((p2 T_18) \/ (-. (All Y, ((-. (r1 T_18 Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ (-. (p2 Y))))))))) (All Y, ((-. (r1 T_0 Y)) \/ ((p2 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ (-. (p2 X))))))))) (All Y, ((-. (r1 T_0 Y)) \/ ((p2 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((p2 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ (-. (p2 Y))))))))))))) (r1 T_16 T_17) (r1 T_14 T_15) (r1 T_12 T_13) (r1 T_10 T_11) (r1 T_8 T_9) (r1 T_6 T_7) (r1 T_4 T_5) (r1 T_0 T_3) (r1 T_3 T_4) (r1 T_5 T_6) (r1 T_7 T_8) (r1 T_9 T_10) (r1 T_11 T_12) (r1 T_13 T_14) (r1 T_15 T_16) ### ConjTree 79
% 3.50/3.76 81. (-. (All X, ((-. (r1 T_17 X)) \/ ((p2 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ (-. (p2 Y)))))))))) (r1 T_15 T_16) (r1 T_13 T_14) (r1 T_11 T_12) (r1 T_9 T_10) (r1 T_7 T_8) (r1 T_5 T_6) (r1 T_3 T_4) (r1 T_0 T_3) (r1 T_4 T_5) (r1 T_6 T_7) (r1 T_8 T_9) (r1 T_10 T_11) (r1 T_12 T_13) (r1 T_14 T_15) (r1 T_16 T_17) (All Y, ((-. (r1 T_0 Y)) \/ ((p2 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((p2 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ (-. (p2 Y))))))))))))) (All Y, ((-. (r1 T_0 Y)) \/ ((p2 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ (-. (p2 X))))))))) ### NotAllEx 80
% 3.50/3.76 82. ((-. (r1 T_0 T_17)) \/ ((p2 T_17) \/ (-. (All X, ((-. (r1 T_17 X)) \/ ((p2 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ (-. (p2 Y)))))))))))) (All Y, ((-. (r1 T_0 Y)) \/ ((p2 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ (-. (p2 X))))))))) (All Y, ((-. (r1 T_0 Y)) \/ ((p2 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((p2 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ (-. (p2 Y))))))))))))) (-. (p2 T_17)) (r1 T_15 T_16) (r1 T_13 T_14) (r1 T_11 T_12) (r1 T_9 T_10) (r1 T_7 T_8) (r1 T_5 T_6) (r1 T_3 T_4) (r1 T_0 T_3) (r1 T_4 T_5) (r1 T_6 T_7) (r1 T_8 T_9) (r1 T_10 T_11) (r1 T_12 T_13) (r1 T_14 T_15) (r1 T_16 T_17) ### DisjTree 51 52 81
% 3.62/3.78 83. (r1 T_16 T_17) (r1 T_14 T_15) (r1 T_12 T_13) (r1 T_10 T_11) (r1 T_8 T_9) (r1 T_6 T_7) (r1 T_4 T_5) (r1 T_0 T_3) (r1 T_3 T_4) (r1 T_5 T_6) (r1 T_7 T_8) (r1 T_9 T_10) (r1 T_11 T_12) (r1 T_13 T_14) (r1 T_15 T_16) (-. (p2 T_17)) (All Y, ((-. (r1 T_0 Y)) \/ ((p2 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((p2 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ (-. (p2 Y))))))))))))) (All Y, ((-. (r1 T_0 Y)) \/ ((p2 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ (-. (p2 X))))))))) ### All 82
% 3.62/3.78 84. (-. ((-. (r1 T_16 T_17)) \/ ((p2 T_17) \/ (-. (All Y, ((-. (r1 T_17 Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ (-. (p2 Y))))))))) (All Y, ((-. (r1 T_0 Y)) \/ ((p2 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ (-. (p2 X))))))))) (All Y, ((-. (r1 T_0 Y)) \/ ((p2 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((p2 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ (-. (p2 Y))))))))))))) (r1 T_15 T_16) (r1 T_13 T_14) (r1 T_11 T_12) (r1 T_9 T_10) (r1 T_7 T_8) (r1 T_5 T_6) (r1 T_3 T_4) (r1 T_0 T_3) (r1 T_4 T_5) (r1 T_6 T_7) (r1 T_8 T_9) (r1 T_10 T_11) (r1 T_12 T_13) (r1 T_14 T_15) ### ConjTree 83
% 3.62/3.78 85. (-. (All X, ((-. (r1 T_16 X)) \/ ((p2 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ (-. (p2 Y)))))))))) (r1 T_14 T_15) (r1 T_12 T_13) (r1 T_10 T_11) (r1 T_8 T_9) (r1 T_6 T_7) (r1 T_4 T_5) (r1 T_0 T_3) (r1 T_3 T_4) (r1 T_5 T_6) (r1 T_7 T_8) (r1 T_9 T_10) (r1 T_11 T_12) (r1 T_13 T_14) (r1 T_15 T_16) (All Y, ((-. (r1 T_0 Y)) \/ ((p2 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((p2 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ (-. (p2 Y))))))))))))) (All Y, ((-. (r1 T_0 Y)) \/ ((p2 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ (-. (p2 X))))))))) ### NotAllEx 84
% 3.62/3.78 86. ((-. (r1 T_0 T_16)) \/ ((p2 T_16) \/ (-. (All X, ((-. (r1 T_16 X)) \/ ((p2 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ (-. (p2 Y)))))))))))) (All Y, ((-. (r1 T_0 Y)) \/ ((p2 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ (-. (p2 X))))))))) (All Y, ((-. (r1 T_0 Y)) \/ ((p2 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((p2 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ (-. (p2 Y))))))))))))) (-. (p2 T_16)) (r1 T_14 T_15) (r1 T_12 T_13) (r1 T_10 T_11) (r1 T_8 T_9) (r1 T_6 T_7) (r1 T_4 T_5) (r1 T_0 T_3) (r1 T_3 T_4) (r1 T_5 T_6) (r1 T_7 T_8) (r1 T_9 T_10) (r1 T_11 T_12) (r1 T_13 T_14) (r1 T_15 T_16) ### DisjTree 48 49 85
% 3.62/3.78 87. (r1 T_15 T_16) (r1 T_13 T_14) (r1 T_11 T_12) (r1 T_9 T_10) (r1 T_7 T_8) (r1 T_5 T_6) (r1 T_3 T_4) (r1 T_0 T_3) (r1 T_4 T_5) (r1 T_6 T_7) (r1 T_8 T_9) (r1 T_10 T_11) (r1 T_12 T_13) (r1 T_14 T_15) (-. (p2 T_16)) (All Y, ((-. (r1 T_0 Y)) \/ ((p2 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((p2 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ (-. (p2 Y))))))))))))) (All Y, ((-. (r1 T_0 Y)) \/ ((p2 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ (-. (p2 X))))))))) ### All 86
% 3.62/3.78 88. (-. ((-. (r1 T_15 T_16)) \/ ((p2 T_16) \/ (-. (All Y, ((-. (r1 T_16 Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ (-. (p2 Y))))))))) (All Y, ((-. (r1 T_0 Y)) \/ ((p2 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ (-. (p2 X))))))))) (All Y, ((-. (r1 T_0 Y)) \/ ((p2 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((p2 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ (-. (p2 Y))))))))))))) (r1 T_14 T_15) (r1 T_12 T_13) (r1 T_10 T_11) (r1 T_8 T_9) (r1 T_6 T_7) (r1 T_4 T_5) (r1 T_0 T_3) (r1 T_3 T_4) (r1 T_5 T_6) (r1 T_7 T_8) (r1 T_9 T_10) (r1 T_11 T_12) (r1 T_13 T_14) ### ConjTree 87
% 3.62/3.78 89. (-. (All X, ((-. (r1 T_15 X)) \/ ((p2 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ (-. (p2 Y)))))))))) (r1 T_13 T_14) (r1 T_11 T_12) (r1 T_9 T_10) (r1 T_7 T_8) (r1 T_5 T_6) (r1 T_3 T_4) (r1 T_0 T_3) (r1 T_4 T_5) (r1 T_6 T_7) (r1 T_8 T_9) (r1 T_10 T_11) (r1 T_12 T_13) (r1 T_14 T_15) (All Y, ((-. (r1 T_0 Y)) \/ ((p2 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((p2 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ (-. (p2 Y))))))))))))) (All Y, ((-. (r1 T_0 Y)) \/ ((p2 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ (-. (p2 X))))))))) ### NotAllEx 88
% 3.62/3.78 90. ((-. (r1 T_0 T_15)) \/ ((p2 T_15) \/ (-. (All X, ((-. (r1 T_15 X)) \/ ((p2 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ (-. (p2 Y)))))))))))) (All Y, ((-. (r1 T_0 Y)) \/ ((p2 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ (-. (p2 X))))))))) (All Y, ((-. (r1 T_0 Y)) \/ ((p2 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((p2 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ (-. (p2 Y))))))))))))) (-. (p2 T_15)) (r1 T_13 T_14) (r1 T_11 T_12) (r1 T_9 T_10) (r1 T_7 T_8) (r1 T_5 T_6) (r1 T_3 T_4) (r1 T_0 T_3) (r1 T_4 T_5) (r1 T_6 T_7) (r1 T_8 T_9) (r1 T_10 T_11) (r1 T_12 T_13) (r1 T_14 T_15) ### DisjTree 45 46 89
% 3.62/3.78 91. (r1 T_14 T_15) (r1 T_12 T_13) (r1 T_10 T_11) (r1 T_8 T_9) (r1 T_6 T_7) (r1 T_4 T_5) (r1 T_0 T_3) (r1 T_3 T_4) (r1 T_5 T_6) (r1 T_7 T_8) (r1 T_9 T_10) (r1 T_11 T_12) (r1 T_13 T_14) (-. (p2 T_15)) (All Y, ((-. (r1 T_0 Y)) \/ ((p2 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((p2 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ (-. (p2 Y))))))))))))) (All Y, ((-. (r1 T_0 Y)) \/ ((p2 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ (-. (p2 X))))))))) ### All 90
% 3.62/3.78 92. (-. ((-. (r1 T_14 T_15)) \/ ((p2 T_15) \/ (-. (All Y, ((-. (r1 T_15 Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ (-. (p2 Y))))))))) (All Y, ((-. (r1 T_0 Y)) \/ ((p2 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ (-. (p2 X))))))))) (All Y, ((-. (r1 T_0 Y)) \/ ((p2 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((p2 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ (-. (p2 Y))))))))))))) (r1 T_13 T_14) (r1 T_11 T_12) (r1 T_9 T_10) (r1 T_7 T_8) (r1 T_5 T_6) (r1 T_3 T_4) (r1 T_0 T_3) (r1 T_4 T_5) (r1 T_6 T_7) (r1 T_8 T_9) (r1 T_10 T_11) (r1 T_12 T_13) ### ConjTree 91
% 3.62/3.78 93. (-. (All X, ((-. (r1 T_14 X)) \/ ((p2 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ (-. (p2 Y)))))))))) (r1 T_12 T_13) (r1 T_10 T_11) (r1 T_8 T_9) (r1 T_6 T_7) (r1 T_4 T_5) (r1 T_0 T_3) (r1 T_3 T_4) (r1 T_5 T_6) (r1 T_7 T_8) (r1 T_9 T_10) (r1 T_11 T_12) (r1 T_13 T_14) (All Y, ((-. (r1 T_0 Y)) \/ ((p2 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((p2 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ (-. (p2 Y))))))))))))) (All Y, ((-. (r1 T_0 Y)) \/ ((p2 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ (-. (p2 X))))))))) ### NotAllEx 92
% 3.62/3.78 94. ((-. (r1 T_0 T_14)) \/ ((p2 T_14) \/ (-. (All X, ((-. (r1 T_14 X)) \/ ((p2 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ (-. (p2 Y)))))))))))) (All Y, ((-. (r1 T_0 Y)) \/ ((p2 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ (-. (p2 X))))))))) (All Y, ((-. (r1 T_0 Y)) \/ ((p2 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((p2 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ (-. (p2 Y))))))))))))) (-. (p2 T_14)) (r1 T_12 T_13) (r1 T_10 T_11) (r1 T_8 T_9) (r1 T_6 T_7) (r1 T_4 T_5) (r1 T_0 T_3) (r1 T_3 T_4) (r1 T_5 T_6) (r1 T_7 T_8) (r1 T_9 T_10) (r1 T_11 T_12) (r1 T_13 T_14) ### DisjTree 42 43 93
% 3.62/3.78 95. (r1 T_13 T_14) (r1 T_11 T_12) (r1 T_9 T_10) (r1 T_7 T_8) (r1 T_5 T_6) (r1 T_3 T_4) (r1 T_0 T_3) (r1 T_4 T_5) (r1 T_6 T_7) (r1 T_8 T_9) (r1 T_10 T_11) (r1 T_12 T_13) (-. (p2 T_14)) (All Y, ((-. (r1 T_0 Y)) \/ ((p2 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((p2 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ (-. (p2 Y))))))))))))) (All Y, ((-. (r1 T_0 Y)) \/ ((p2 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ (-. (p2 X))))))))) ### All 94
% 3.62/3.78 96. (-. ((-. (r1 T_13 T_14)) \/ ((p2 T_14) \/ (-. (All Y, ((-. (r1 T_14 Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ (-. (p2 Y))))))))) (All Y, ((-. (r1 T_0 Y)) \/ ((p2 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ (-. (p2 X))))))))) (All Y, ((-. (r1 T_0 Y)) \/ ((p2 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((p2 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ (-. (p2 Y))))))))))))) (r1 T_12 T_13) (r1 T_10 T_11) (r1 T_8 T_9) (r1 T_6 T_7) (r1 T_4 T_5) (r1 T_0 T_3) (r1 T_3 T_4) (r1 T_5 T_6) (r1 T_7 T_8) (r1 T_9 T_10) (r1 T_11 T_12) ### ConjTree 95
% 3.62/3.80 97. (-. (All X, ((-. (r1 T_13 X)) \/ ((p2 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ (-. (p2 Y)))))))))) (r1 T_11 T_12) (r1 T_9 T_10) (r1 T_7 T_8) (r1 T_5 T_6) (r1 T_3 T_4) (r1 T_0 T_3) (r1 T_4 T_5) (r1 T_6 T_7) (r1 T_8 T_9) (r1 T_10 T_11) (r1 T_12 T_13) (All Y, ((-. (r1 T_0 Y)) \/ ((p2 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((p2 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ (-. (p2 Y))))))))))))) (All Y, ((-. (r1 T_0 Y)) \/ ((p2 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ (-. (p2 X))))))))) ### NotAllEx 96
% 3.62/3.80 98. ((-. (r1 T_0 T_13)) \/ ((p2 T_13) \/ (-. (All X, ((-. (r1 T_13 X)) \/ ((p2 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ (-. (p2 Y)))))))))))) (All Y, ((-. (r1 T_0 Y)) \/ ((p2 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ (-. (p2 X))))))))) (All Y, ((-. (r1 T_0 Y)) \/ ((p2 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((p2 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ (-. (p2 Y))))))))))))) (-. (p2 T_13)) (r1 T_11 T_12) (r1 T_9 T_10) (r1 T_7 T_8) (r1 T_5 T_6) (r1 T_3 T_4) (r1 T_0 T_3) (r1 T_4 T_5) (r1 T_6 T_7) (r1 T_8 T_9) (r1 T_10 T_11) (r1 T_12 T_13) ### DisjTree 39 40 97
% 3.62/3.80 99. (r1 T_12 T_13) (r1 T_10 T_11) (r1 T_8 T_9) (r1 T_6 T_7) (r1 T_4 T_5) (r1 T_0 T_3) (r1 T_3 T_4) (r1 T_5 T_6) (r1 T_7 T_8) (r1 T_9 T_10) (r1 T_11 T_12) (-. (p2 T_13)) (All Y, ((-. (r1 T_0 Y)) \/ ((p2 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((p2 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ (-. (p2 Y))))))))))))) (All Y, ((-. (r1 T_0 Y)) \/ ((p2 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ (-. (p2 X))))))))) ### All 98
% 3.62/3.80 100. (-. ((-. (r1 T_12 T_13)) \/ ((p2 T_13) \/ (-. (All Y, ((-. (r1 T_13 Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ (-. (p2 Y))))))))) (All Y, ((-. (r1 T_0 Y)) \/ ((p2 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ (-. (p2 X))))))))) (All Y, ((-. (r1 T_0 Y)) \/ ((p2 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((p2 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ (-. (p2 Y))))))))))))) (r1 T_11 T_12) (r1 T_9 T_10) (r1 T_7 T_8) (r1 T_5 T_6) (r1 T_3 T_4) (r1 T_0 T_3) (r1 T_4 T_5) (r1 T_6 T_7) (r1 T_8 T_9) (r1 T_10 T_11) ### ConjTree 99
% 3.62/3.80 101. (-. (All X, ((-. (r1 T_12 X)) \/ ((p2 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ (-. (p2 Y)))))))))) (r1 T_10 T_11) (r1 T_8 T_9) (r1 T_6 T_7) (r1 T_4 T_5) (r1 T_0 T_3) (r1 T_3 T_4) (r1 T_5 T_6) (r1 T_7 T_8) (r1 T_9 T_10) (r1 T_11 T_12) (All Y, ((-. (r1 T_0 Y)) \/ ((p2 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((p2 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ (-. (p2 Y))))))))))))) (All Y, ((-. (r1 T_0 Y)) \/ ((p2 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ (-. (p2 X))))))))) ### NotAllEx 100
% 3.62/3.80 102. ((-. (r1 T_0 T_12)) \/ ((p2 T_12) \/ (-. (All X, ((-. (r1 T_12 X)) \/ ((p2 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ (-. (p2 Y)))))))))))) (All Y, ((-. (r1 T_0 Y)) \/ ((p2 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ (-. (p2 X))))))))) (All Y, ((-. (r1 T_0 Y)) \/ ((p2 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((p2 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ (-. (p2 Y))))))))))))) (-. (p2 T_12)) (r1 T_10 T_11) (r1 T_8 T_9) (r1 T_6 T_7) (r1 T_4 T_5) (r1 T_0 T_3) (r1 T_3 T_4) (r1 T_5 T_6) (r1 T_7 T_8) (r1 T_9 T_10) (r1 T_11 T_12) ### DisjTree 36 37 101
% 3.62/3.80 103. (r1 T_11 T_12) (r1 T_9 T_10) (r1 T_7 T_8) (r1 T_5 T_6) (r1 T_3 T_4) (r1 T_0 T_3) (r1 T_4 T_5) (r1 T_6 T_7) (r1 T_8 T_9) (r1 T_10 T_11) (-. (p2 T_12)) (All Y, ((-. (r1 T_0 Y)) \/ ((p2 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((p2 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ (-. (p2 Y))))))))))))) (All Y, ((-. (r1 T_0 Y)) \/ ((p2 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ (-. (p2 X))))))))) ### All 102
% 3.62/3.80 104. (-. ((-. (r1 T_11 T_12)) \/ ((p2 T_12) \/ (-. (All Y, ((-. (r1 T_12 Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ (-. (p2 Y))))))))) (All Y, ((-. (r1 T_0 Y)) \/ ((p2 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ (-. (p2 X))))))))) (All Y, ((-. (r1 T_0 Y)) \/ ((p2 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((p2 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ (-. (p2 Y))))))))))))) (r1 T_10 T_11) (r1 T_8 T_9) (r1 T_6 T_7) (r1 T_4 T_5) (r1 T_0 T_3) (r1 T_3 T_4) (r1 T_5 T_6) (r1 T_7 T_8) (r1 T_9 T_10) ### ConjTree 103
% 3.62/3.80 105. (-. (All X, ((-. (r1 T_11 X)) \/ ((p2 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ (-. (p2 Y)))))))))) (r1 T_9 T_10) (r1 T_7 T_8) (r1 T_5 T_6) (r1 T_3 T_4) (r1 T_0 T_3) (r1 T_4 T_5) (r1 T_6 T_7) (r1 T_8 T_9) (r1 T_10 T_11) (All Y, ((-. (r1 T_0 Y)) \/ ((p2 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((p2 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ (-. (p2 Y))))))))))))) (All Y, ((-. (r1 T_0 Y)) \/ ((p2 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ (-. (p2 X))))))))) ### NotAllEx 104
% 3.62/3.80 106. ((-. (r1 T_0 T_11)) \/ ((p2 T_11) \/ (-. (All X, ((-. (r1 T_11 X)) \/ ((p2 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ (-. (p2 Y)))))))))))) (All Y, ((-. (r1 T_0 Y)) \/ ((p2 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ (-. (p2 X))))))))) (All Y, ((-. (r1 T_0 Y)) \/ ((p2 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((p2 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ (-. (p2 Y))))))))))))) (-. (p2 T_11)) (r1 T_9 T_10) (r1 T_7 T_8) (r1 T_5 T_6) (r1 T_3 T_4) (r1 T_0 T_3) (r1 T_4 T_5) (r1 T_6 T_7) (r1 T_8 T_9) (r1 T_10 T_11) ### DisjTree 33 34 105
% 3.62/3.80 107. (r1 T_10 T_11) (r1 T_8 T_9) (r1 T_6 T_7) (r1 T_4 T_5) (r1 T_0 T_3) (r1 T_3 T_4) (r1 T_5 T_6) (r1 T_7 T_8) (r1 T_9 T_10) (-. (p2 T_11)) (All Y, ((-. (r1 T_0 Y)) \/ ((p2 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((p2 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ (-. (p2 Y))))))))))))) (All Y, ((-. (r1 T_0 Y)) \/ ((p2 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ (-. (p2 X))))))))) ### All 106
% 3.62/3.80 108. (-. ((-. (r1 T_10 T_11)) \/ ((p2 T_11) \/ (-. (All Y, ((-. (r1 T_11 Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ (-. (p2 Y))))))))) (All Y, ((-. (r1 T_0 Y)) \/ ((p2 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ (-. (p2 X))))))))) (All Y, ((-. (r1 T_0 Y)) \/ ((p2 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((p2 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ (-. (p2 Y))))))))))))) (r1 T_9 T_10) (r1 T_7 T_8) (r1 T_5 T_6) (r1 T_3 T_4) (r1 T_0 T_3) (r1 T_4 T_5) (r1 T_6 T_7) (r1 T_8 T_9) ### ConjTree 107
% 3.62/3.80 109. (-. (All X, ((-. (r1 T_10 X)) \/ ((p2 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ (-. (p2 Y)))))))))) (r1 T_8 T_9) (r1 T_6 T_7) (r1 T_4 T_5) (r1 T_0 T_3) (r1 T_3 T_4) (r1 T_5 T_6) (r1 T_7 T_8) (r1 T_9 T_10) (All Y, ((-. (r1 T_0 Y)) \/ ((p2 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((p2 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ (-. (p2 Y))))))))))))) (All Y, ((-. (r1 T_0 Y)) \/ ((p2 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ (-. (p2 X))))))))) ### NotAllEx 108
% 3.62/3.80 110. ((-. (r1 T_0 T_10)) \/ ((p2 T_10) \/ (-. (All X, ((-. (r1 T_10 X)) \/ ((p2 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ (-. (p2 Y)))))))))))) (All Y, ((-. (r1 T_0 Y)) \/ ((p2 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ (-. (p2 X))))))))) (All Y, ((-. (r1 T_0 Y)) \/ ((p2 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((p2 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ (-. (p2 Y))))))))))))) (-. (p2 T_10)) (r1 T_8 T_9) (r1 T_6 T_7) (r1 T_4 T_5) (r1 T_0 T_3) (r1 T_3 T_4) (r1 T_5 T_6) (r1 T_7 T_8) (r1 T_9 T_10) ### DisjTree 30 31 109
% 3.66/3.81 111. (r1 T_9 T_10) (r1 T_7 T_8) (r1 T_5 T_6) (r1 T_3 T_4) (r1 T_0 T_3) (r1 T_4 T_5) (r1 T_6 T_7) (r1 T_8 T_9) (-. (p2 T_10)) (All Y, ((-. (r1 T_0 Y)) \/ ((p2 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((p2 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ (-. (p2 Y))))))))))))) (All Y, ((-. (r1 T_0 Y)) \/ ((p2 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ (-. (p2 X))))))))) ### All 110
% 3.66/3.81 112. (-. ((-. (r1 T_9 T_10)) \/ ((p2 T_10) \/ (-. (All Y, ((-. (r1 T_10 Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ (-. (p2 Y))))))))) (All Y, ((-. (r1 T_0 Y)) \/ ((p2 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ (-. (p2 X))))))))) (All Y, ((-. (r1 T_0 Y)) \/ ((p2 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((p2 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ (-. (p2 Y))))))))))))) (r1 T_8 T_9) (r1 T_6 T_7) (r1 T_4 T_5) (r1 T_0 T_3) (r1 T_3 T_4) (r1 T_5 T_6) (r1 T_7 T_8) ### ConjTree 111
% 3.66/3.81 113. (-. (All X, ((-. (r1 T_9 X)) \/ ((p2 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ (-. (p2 Y)))))))))) (r1 T_7 T_8) (r1 T_5 T_6) (r1 T_3 T_4) (r1 T_0 T_3) (r1 T_4 T_5) (r1 T_6 T_7) (r1 T_8 T_9) (All Y, ((-. (r1 T_0 Y)) \/ ((p2 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((p2 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ (-. (p2 Y))))))))))))) (All Y, ((-. (r1 T_0 Y)) \/ ((p2 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ (-. (p2 X))))))))) ### NotAllEx 112
% 3.66/3.81 114. ((-. (r1 T_0 T_9)) \/ ((p2 T_9) \/ (-. (All X, ((-. (r1 T_9 X)) \/ ((p2 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ (-. (p2 Y)))))))))))) (All Y, ((-. (r1 T_0 Y)) \/ ((p2 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ (-. (p2 X))))))))) (All Y, ((-. (r1 T_0 Y)) \/ ((p2 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((p2 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ (-. (p2 Y))))))))))))) (-. (p2 T_9)) (r1 T_7 T_8) (r1 T_5 T_6) (r1 T_3 T_4) (r1 T_0 T_3) (r1 T_4 T_5) (r1 T_6 T_7) (r1 T_8 T_9) ### DisjTree 27 28 113
% 3.66/3.81 115. (r1 T_8 T_9) (r1 T_6 T_7) (r1 T_4 T_5) (r1 T_0 T_3) (r1 T_3 T_4) (r1 T_5 T_6) (r1 T_7 T_8) (-. (p2 T_9)) (All Y, ((-. (r1 T_0 Y)) \/ ((p2 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((p2 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ (-. (p2 Y))))))))))))) (All Y, ((-. (r1 T_0 Y)) \/ ((p2 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ (-. (p2 X))))))))) ### All 114
% 3.66/3.81 116. (-. ((-. (r1 T_8 T_9)) \/ ((p2 T_9) \/ (-. (All Y, ((-. (r1 T_9 Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ (-. (p2 Y))))))))) (All Y, ((-. (r1 T_0 Y)) \/ ((p2 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ (-. (p2 X))))))))) (All Y, ((-. (r1 T_0 Y)) \/ ((p2 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((p2 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ (-. (p2 Y))))))))))))) (r1 T_7 T_8) (r1 T_5 T_6) (r1 T_3 T_4) (r1 T_0 T_3) (r1 T_4 T_5) (r1 T_6 T_7) ### ConjTree 115
% 3.66/3.81 117. (-. (All X, ((-. (r1 T_8 X)) \/ ((p2 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ (-. (p2 Y)))))))))) (r1 T_6 T_7) (r1 T_4 T_5) (r1 T_0 T_3) (r1 T_3 T_4) (r1 T_5 T_6) (r1 T_7 T_8) (All Y, ((-. (r1 T_0 Y)) \/ ((p2 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((p2 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ (-. (p2 Y))))))))))))) (All Y, ((-. (r1 T_0 Y)) \/ ((p2 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ (-. (p2 X))))))))) ### NotAllEx 116
% 3.66/3.81 118. ((-. (r1 T_0 T_8)) \/ ((p2 T_8) \/ (-. (All X, ((-. (r1 T_8 X)) \/ ((p2 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ (-. (p2 Y)))))))))))) (All Y, ((-. (r1 T_0 Y)) \/ ((p2 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ (-. (p2 X))))))))) (All Y, ((-. (r1 T_0 Y)) \/ ((p2 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((p2 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ (-. (p2 Y))))))))))))) (-. (p2 T_8)) (r1 T_6 T_7) (r1 T_4 T_5) (r1 T_0 T_3) (r1 T_3 T_4) (r1 T_5 T_6) (r1 T_7 T_8) ### DisjTree 24 25 117
% 3.66/3.81 119. (r1 T_7 T_8) (r1 T_5 T_6) (r1 T_3 T_4) (r1 T_0 T_3) (r1 T_4 T_5) (r1 T_6 T_7) (-. (p2 T_8)) (All Y, ((-. (r1 T_0 Y)) \/ ((p2 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((p2 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ (-. (p2 Y))))))))))))) (All Y, ((-. (r1 T_0 Y)) \/ ((p2 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ (-. (p2 X))))))))) ### All 118
% 3.66/3.81 120. (-. ((-. (r1 T_7 T_8)) \/ ((p2 T_8) \/ (-. (All Y, ((-. (r1 T_8 Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ (-. (p2 Y))))))))) (All Y, ((-. (r1 T_0 Y)) \/ ((p2 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ (-. (p2 X))))))))) (All Y, ((-. (r1 T_0 Y)) \/ ((p2 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((p2 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ (-. (p2 Y))))))))))))) (r1 T_6 T_7) (r1 T_4 T_5) (r1 T_0 T_3) (r1 T_3 T_4) (r1 T_5 T_6) ### ConjTree 119
% 3.66/3.81 121. (-. (All X, ((-. (r1 T_7 X)) \/ ((p2 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ (-. (p2 Y)))))))))) (r1 T_5 T_6) (r1 T_3 T_4) (r1 T_0 T_3) (r1 T_4 T_5) (r1 T_6 T_7) (All Y, ((-. (r1 T_0 Y)) \/ ((p2 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((p2 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ (-. (p2 Y))))))))))))) (All Y, ((-. (r1 T_0 Y)) \/ ((p2 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ (-. (p2 X))))))))) ### NotAllEx 120
% 3.66/3.81 122. ((-. (r1 T_0 T_7)) \/ ((p2 T_7) \/ (-. (All X, ((-. (r1 T_7 X)) \/ ((p2 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ (-. (p2 Y)))))))))))) (All Y, ((-. (r1 T_0 Y)) \/ ((p2 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ (-. (p2 X))))))))) (All Y, ((-. (r1 T_0 Y)) \/ ((p2 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((p2 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ (-. (p2 Y))))))))))))) (-. (p2 T_7)) (r1 T_5 T_6) (r1 T_3 T_4) (r1 T_0 T_3) (r1 T_4 T_5) (r1 T_6 T_7) ### DisjTree 21 22 121
% 3.66/3.81 123. (r1 T_6 T_7) (r1 T_4 T_5) (r1 T_0 T_3) (r1 T_3 T_4) (r1 T_5 T_6) (-. (p2 T_7)) (All Y, ((-. (r1 T_0 Y)) \/ ((p2 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((p2 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ (-. (p2 Y))))))))))))) (All Y, ((-. (r1 T_0 Y)) \/ ((p2 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ (-. (p2 X))))))))) ### All 122
% 3.66/3.81 124. (-. ((-. (r1 T_6 T_7)) \/ ((p2 T_7) \/ (-. (All Y, ((-. (r1 T_7 Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ (-. (p2 Y))))))))) (All Y, ((-. (r1 T_0 Y)) \/ ((p2 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ (-. (p2 X))))))))) (All Y, ((-. (r1 T_0 Y)) \/ ((p2 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((p2 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ (-. (p2 Y))))))))))))) (r1 T_5 T_6) (r1 T_3 T_4) (r1 T_0 T_3) (r1 T_4 T_5) ### ConjTree 123
% 3.66/3.81 125. (-. (All X, ((-. (r1 T_6 X)) \/ ((p2 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ (-. (p2 Y)))))))))) (r1 T_4 T_5) (r1 T_0 T_3) (r1 T_3 T_4) (r1 T_5 T_6) (All Y, ((-. (r1 T_0 Y)) \/ ((p2 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((p2 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ (-. (p2 Y))))))))))))) (All Y, ((-. (r1 T_0 Y)) \/ ((p2 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ (-. (p2 X))))))))) ### NotAllEx 124
% 3.66/3.81 126. ((-. (r1 T_0 T_6)) \/ ((p2 T_6) \/ (-. (All X, ((-. (r1 T_6 X)) \/ ((p2 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ (-. (p2 Y)))))))))))) (All Y, ((-. (r1 T_0 Y)) \/ ((p2 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ (-. (p2 X))))))))) (All Y, ((-. (r1 T_0 Y)) \/ ((p2 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((p2 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ (-. (p2 Y))))))))))))) (-. (p2 T_6)) (r1 T_4 T_5) (r1 T_0 T_3) (r1 T_3 T_4) (r1 T_5 T_6) ### DisjTree 18 19 125
% 3.66/3.82 127. (r1 T_5 T_6) (r1 T_3 T_4) (r1 T_0 T_3) (r1 T_4 T_5) (-. (p2 T_6)) (All Y, ((-. (r1 T_0 Y)) \/ ((p2 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((p2 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ (-. (p2 Y))))))))))))) (All Y, ((-. (r1 T_0 Y)) \/ ((p2 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ (-. (p2 X))))))))) ### All 126
% 3.66/3.82 128. (-. ((-. (r1 T_5 T_6)) \/ ((p2 T_6) \/ (-. (All Y, ((-. (r1 T_6 Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ (-. (p2 Y))))))))) (All Y, ((-. (r1 T_0 Y)) \/ ((p2 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ (-. (p2 X))))))))) (All Y, ((-. (r1 T_0 Y)) \/ ((p2 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((p2 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ (-. (p2 Y))))))))))))) (r1 T_4 T_5) (r1 T_0 T_3) (r1 T_3 T_4) ### ConjTree 127
% 3.66/3.82 129. (-. (All X, ((-. (r1 T_5 X)) \/ ((p2 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ (-. (p2 Y)))))))))) (r1 T_3 T_4) (r1 T_0 T_3) (r1 T_4 T_5) (All Y, ((-. (r1 T_0 Y)) \/ ((p2 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((p2 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ (-. (p2 Y))))))))))))) (All Y, ((-. (r1 T_0 Y)) \/ ((p2 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ (-. (p2 X))))))))) ### NotAllEx 128
% 3.66/3.82 130. ((-. (r1 T_0 T_5)) \/ ((p2 T_5) \/ (-. (All X, ((-. (r1 T_5 X)) \/ ((p2 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ (-. (p2 Y)))))))))))) (All Y, ((-. (r1 T_0 Y)) \/ ((p2 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ (-. (p2 X))))))))) (All Y, ((-. (r1 T_0 Y)) \/ ((p2 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((p2 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ (-. (p2 Y))))))))))))) (-. (p2 T_5)) (r1 T_3 T_4) (r1 T_0 T_3) (r1 T_4 T_5) ### DisjTree 15 16 129
% 3.66/3.82 131. (r1 T_4 T_5) (r1 T_0 T_3) (r1 T_3 T_4) (-. (p2 T_5)) (All Y, ((-. (r1 T_0 Y)) \/ ((p2 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((p2 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ (-. (p2 Y))))))))))))) (All Y, ((-. (r1 T_0 Y)) \/ ((p2 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ (-. (p2 X))))))))) ### All 130
% 3.66/3.82 132. (-. ((-. (r1 T_4 T_5)) \/ ((p2 T_5) \/ (-. (All Y, ((-. (r1 T_5 Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ (-. (p2 Y))))))))) (All Y, ((-. (r1 T_0 Y)) \/ ((p2 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ (-. (p2 X))))))))) (All Y, ((-. (r1 T_0 Y)) \/ ((p2 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((p2 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ (-. (p2 Y))))))))))))) (r1 T_3 T_4) (r1 T_0 T_3) ### ConjTree 131
% 3.66/3.82 133. (-. (All X, ((-. (r1 T_4 X)) \/ ((p2 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ (-. (p2 Y)))))))))) (r1 T_0 T_3) (r1 T_3 T_4) (All Y, ((-. (r1 T_0 Y)) \/ ((p2 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((p2 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ (-. (p2 Y))))))))))))) (All Y, ((-. (r1 T_0 Y)) \/ ((p2 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ (-. (p2 X))))))))) ### NotAllEx 132
% 3.66/3.82 134. ((-. (r1 T_0 T_4)) \/ ((p2 T_4) \/ (-. (All X, ((-. (r1 T_4 X)) \/ ((p2 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ (-. (p2 Y)))))))))))) (All Y, ((-. (r1 T_0 Y)) \/ ((p2 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ (-. (p2 X))))))))) (All Y, ((-. (r1 T_0 Y)) \/ ((p2 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((p2 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ (-. (p2 Y))))))))))))) (-. (p2 T_4)) (r1 T_0 T_3) (r1 T_3 T_4) ### DisjTree 12 13 133
% 3.66/3.82 135. (r1 T_3 T_4) (r1 T_0 T_3) (-. (p2 T_4)) (All Y, ((-. (r1 T_0 Y)) \/ ((p2 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((p2 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ (-. (p2 Y))))))))))))) (All Y, ((-. (r1 T_0 Y)) \/ ((p2 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ (-. (p2 X))))))))) ### All 134
% 3.66/3.82 136. (-. ((-. (r1 T_3 T_4)) \/ ((p2 T_4) \/ (-. (All Y, ((-. (r1 T_4 Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ (-. (p2 Y))))))))) (All Y, ((-. (r1 T_0 Y)) \/ ((p2 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ (-. (p2 X))))))))) (All Y, ((-. (r1 T_0 Y)) \/ ((p2 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((p2 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ (-. (p2 Y))))))))))))) (r1 T_0 T_3) ### ConjTree 135
% 3.66/3.82 137. (-. (All X, ((-. (r1 T_3 X)) \/ ((p2 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ (-. (p2 Y)))))))))) (r1 T_0 T_3) (All Y, ((-. (r1 T_0 Y)) \/ ((p2 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((p2 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ (-. (p2 Y))))))))))))) (All Y, ((-. (r1 T_0 Y)) \/ ((p2 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ (-. (p2 X))))))))) ### NotAllEx 136
% 3.66/3.82 138. ((-. (r1 T_0 T_3)) \/ ((p2 T_3) \/ (-. (All X, ((-. (r1 T_3 X)) \/ ((p2 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ (-. (p2 Y)))))))))))) (All Y, ((-. (r1 T_0 Y)) \/ ((p2 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ (-. (p2 X))))))))) (All Y, ((-. (r1 T_0 Y)) \/ ((p2 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((p2 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ (-. (p2 Y))))))))))))) (-. (p2 T_3)) (r1 T_0 T_3) ### DisjTree 8 9 137
% 3.66/3.82 139. (r1 T_0 T_3) (-. (p2 T_3)) (All Y, ((-. (r1 T_0 Y)) \/ ((p2 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((p2 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ (-. (p2 Y))))))))))))) (All Y, ((-. (r1 T_0 Y)) \/ ((p2 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ (-. (p2 X))))))))) ### All 138
% 3.66/3.82 140. (-. (-. (All Y, ((-. (r1 T_0 Y)) \/ ((p2 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ (-. (p2 X))))))))))) (All Y, ((-. (r1 T_0 Y)) \/ ((p2 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((p2 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ (-. (p2 Y))))))))))))) (-. (p2 T_3)) (r1 T_0 T_3) ### NotNot 139
% 3.66/3.82 141. (-. (-. (r1 T_0 T_3))) (-. (p2 T_3)) (All Y, ((-. (r1 T_0 Y)) \/ ((p2 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((p2 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ (-. (p2 Y))))))))))))) (-. (-. (All Y, ((-. (r1 T_0 Y)) \/ ((p2 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ (-. (p2 X))))))))))) ### NotNot 140
% 3.66/3.82 142. (-. ((-. (r1 T_0 T_3)) \/ (p2 T_3))) (-. (-. (All Y, ((-. (r1 T_0 Y)) \/ ((p2 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ (-. (p2 X))))))))))) (All Y, ((-. (r1 T_0 Y)) \/ ((p2 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((p2 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ (-. (p2 Y))))))))))))) ### NotOr 141
% 3.66/3.82 143. (-. (All Y, ((-. (r1 T_0 Y)) \/ (p2 Y)))) (All Y, ((-. (r1 T_0 Y)) \/ ((p2 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((p2 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ (-. (p2 Y))))))))))))) (-. (-. (All Y, ((-. (r1 T_0 Y)) \/ ((p2 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ (-. (p2 X))))))))))) ### NotAllEx 142
% 3.66/3.82 144. (-. ((All Y, ((-. (r1 T_0 Y)) \/ (p2 Y))) \/ (-. (All Y, ((-. (r1 T_0 Y)) \/ ((p2 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ (-. (p2 X)))))))))))) (All Y, ((-. (r1 T_0 Y)) \/ ((p2 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((p2 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ (-. (p2 Y))))))))))))) ### NotOr 143
% 3.66/3.82 145. (-. ((-. (All Y, ((-. (r1 T_0 Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. (p3 X)))))))) /\ ((All Y, ((-. (r1 T_0 Y)) \/ (p2 Y))) \/ (-. (All Y, ((-. (r1 T_0 Y)) \/ ((p2 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ (-. (p2 X))))))))))))) (All Y, ((-. (r1 T_0 Y)) \/ ((p2 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((p2 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ (-. (p2 Y))))))))))))) (r1 T_1 T_2) (r1 T_0 T_1) (All Y, ((-. (r1 T_2 Y)) \/ (-. (p3 Y)))) ### NotAnd 7 144
% 3.66/3.82 146. (-. (-. (All Y, ((-. (r1 T_2 Y)) \/ (-. (p3 Y)))))) (r1 T_0 T_1) (r1 T_1 T_2) (All Y, ((-. (r1 T_0 Y)) \/ ((p2 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((p2 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ (-. (p2 Y))))))))))))) (-. ((-. (All Y, ((-. (r1 T_0 Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. (p3 X)))))))) /\ ((All Y, ((-. (r1 T_0 Y)) \/ (p2 Y))) \/ (-. (All Y, ((-. (r1 T_0 Y)) \/ ((p2 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ (-. (p2 X))))))))))))) ### NotNot 145
% 3.66/3.82 147. (-. (-. (r1 T_1 T_2))) (-. ((-. (All Y, ((-. (r1 T_0 Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. (p3 X)))))))) /\ ((All Y, ((-. (r1 T_0 Y)) \/ (p2 Y))) \/ (-. (All Y, ((-. (r1 T_0 Y)) \/ ((p2 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ (-. (p2 X))))))))))))) (All Y, ((-. (r1 T_0 Y)) \/ ((p2 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((p2 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ (-. (p2 Y))))))))))))) (r1 T_0 T_1) (-. (-. (All Y, ((-. (r1 T_2 Y)) \/ (-. (p3 Y)))))) ### NotNot 146
% 3.66/3.82 148. (-. ((-. (r1 T_1 T_2)) \/ (-. (All Y, ((-. (r1 T_2 Y)) \/ (-. (p3 Y))))))) (r1 T_0 T_1) (All Y, ((-. (r1 T_0 Y)) \/ ((p2 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((p2 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ (-. (p2 Y))))))))))))) (-. ((-. (All Y, ((-. (r1 T_0 Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. (p3 X)))))))) /\ ((All Y, ((-. (r1 T_0 Y)) \/ (p2 Y))) \/ (-. (All Y, ((-. (r1 T_0 Y)) \/ ((p2 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ (-. (p2 X))))))))))))) ### NotOr 147
% 3.66/3.82 149. (-. (All X, ((-. (r1 T_1 X)) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (p3 Y)))))))) (-. ((-. (All Y, ((-. (r1 T_0 Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. (p3 X)))))))) /\ ((All Y, ((-. (r1 T_0 Y)) \/ (p2 Y))) \/ (-. (All Y, ((-. (r1 T_0 Y)) \/ ((p2 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ (-. (p2 X))))))))))))) (All Y, ((-. (r1 T_0 Y)) \/ ((p2 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((p2 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ (-. (p2 Y))))))))))))) (r1 T_0 T_1) ### NotAllEx 148
% 3.66/3.82 150. (-. ((-. (r1 T_0 T_1)) \/ ((p1 T_1) \/ (All X, ((-. (r1 T_1 X)) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (p3 Y)))))))))) (All Y, ((-. (r1 T_0 Y)) \/ ((p2 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((p2 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ (-. (p2 Y))))))))))))) (-. ((-. (All Y, ((-. (r1 T_0 Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. (p3 X)))))))) /\ ((All Y, ((-. (r1 T_0 Y)) \/ (p2 Y))) \/ (-. (All Y, ((-. (r1 T_0 Y)) \/ ((p2 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ (-. (p2 X))))))))))))) ### ConjTree 149
% 3.66/3.82 151. (-. (All Y, ((-. (r1 T_0 Y)) \/ ((p1 Y) \/ (All X, ((-. (r1 Y X)) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (p3 Y))))))))))) (-. ((-. (All Y, ((-. (r1 T_0 Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. (p3 X)))))))) /\ ((All Y, ((-. (r1 T_0 Y)) \/ (p2 Y))) \/ (-. (All Y, ((-. (r1 T_0 Y)) \/ ((p2 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ (-. (p2 X))))))))))))) (All Y, ((-. (r1 T_0 Y)) \/ ((p2 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((p2 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ (-. (p2 Y))))))))))))) ### NotAllEx 150
% 3.66/3.82 152. (-. ((All Y, ((-. (r1 T_0 Y)) \/ ((p1 Y) \/ (All X, ((-. (r1 Y X)) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (p3 Y)))))))))) /\ ((All Y, ((-. (r1 T_0 Y)) \/ (p2 Y))) \/ (-. (All Y, ((-. (r1 T_0 Y)) \/ ((p2 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ (-. (p2 X))))))))))))) (All Y, ((-. (r1 T_0 Y)) \/ ((p2 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((p2 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ (-. (p2 Y))))))))))))) (-. ((-. (All Y, ((-. (r1 T_0 Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. (p3 X)))))))) /\ ((All Y, ((-. (r1 T_0 Y)) \/ (p2 Y))) \/ (-. (All Y, ((-. (r1 T_0 Y)) \/ ((p2 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ (-. (p2 X))))))))))))) ### NotAnd 151 144
% 3.66/3.82 153. (-. (((All Y, ((-. (r1 T_0 Y)) \/ ((p1 Y) \/ (All X, ((-. (r1 Y X)) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (p3 Y)))))))))) /\ ((All Y, ((-. (r1 T_0 Y)) \/ (p2 Y))) \/ (-. (All Y, ((-. (r1 T_0 Y)) \/ ((p2 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ (-. (p2 X)))))))))))) \/ ((All Y, ((-. (r1 T_0 Y)) \/ (p4 Y))) \/ ((-. (All Y, ((-. (r1 T_0 Y)) \/ ((p4 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p4 Y))) \/ (-. (p4 X)))))))))) \/ (((-. (All Y, ((-. (r1 T_0 Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. (p3 X)))))))) /\ ((All Y, ((-. (r1 T_0 Y)) \/ (p2 Y))) \/ (-. (All Y, ((-. (r1 T_0 Y)) \/ ((p2 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ (-. (p2 X)))))))))))) \/ ((All Y, ((-. (r1 T_0 Y)) \/ (p1 Y))) \/ ((-. (All Y, ((-. (r1 T_0 Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))) \/ (-. (((((All Y, ((-. (r1 T_0 Y)) \/ (All X, ((-. (r1 Y X)) \/ ((p2 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ (-. (p2 Y))))))))))) \/ (-. (All Y, ((-. (r1 T_0 Y)) \/ ((p2 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ (-. (p2 X))))))))))) /\ ((p2 T_0) \/ (-. (All Y, ((-. (r1 T_0 Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ (-. (p2 Y)))))))) \/ (-. (All Y, ((-. (r1 T_0 Y)) \/ ((((All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ ((p2 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ (-. (p2 X))))))))))) \/ (-. (All X, ((-. (r1 Y X)) \/ ((p2 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ (-. (p2 Y))))))))))) /\ ((p2 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ (-. (p2 X)))))))) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (((All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ ((p2 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ (-. (p2 X))))))))))) \/ (-. (All X, ((-. (r1 Y X)) \/ ((p2 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ (-. (p2 Y))))))))))) /\ ((p2 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ (-. (p2 X)))))))))) \/ (-. (((All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ ((p2 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ (-. (p2 Y))))))))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((p2 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ (-. (p2 X))))))))))) /\ ((p2 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ (-. (p2 Y)))))))))))))))))) /\ (All Y, ((-. (r1 T_0 Y)) \/ ((p2 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((p2 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ (-. (p2 Y)))))))))))))))))))))) ### ConjTree 152
% 3.66/3.82 154. (Ex X, (-. (((All Y, ((-. (r1 X Y)) \/ ((p1 Y) \/ (All X, ((-. (r1 Y X)) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (p3 Y)))))))))) /\ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((p2 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ (-. (p2 X)))))))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p4 Y))) \/ ((-. (All Y, ((-. (r1 X Y)) \/ ((p4 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p4 Y))) \/ (-. (p4 X)))))))))) \/ (((-. (All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. (p3 X)))))))) /\ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((p2 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ (-. (p2 X)))))))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ ((-. (All Y, ((-. (r1 X Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))) \/ (-. (((((All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ ((p2 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ (-. (p2 Y))))))))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((p2 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ (-. (p2 X))))))))))) /\ ((p2 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ (-. (p2 Y)))))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((((All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ ((p2 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ (-. (p2 X))))))))))) \/ (-. (All X, ((-. (r1 Y X)) \/ ((p2 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ (-. (p2 Y))))))))))) /\ ((p2 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ (-. (p2 X)))))))) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (((All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ ((p2 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ (-. (p2 X))))))))))) \/ (-. (All X, ((-. (r1 Y X)) \/ ((p2 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ (-. (p2 Y))))))))))) /\ ((p2 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ (-. (p2 X)))))))))) \/ (-. (((All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ ((p2 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ (-. (p2 Y))))))))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((p2 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ (-. (p2 X))))))))))) /\ ((p2 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ (-. (p2 Y)))))))))))))))))) /\ (All Y, ((-. (r1 X Y)) \/ ((p2 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((p2 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ (-. (p2 Y))))))))))))))))))))))) ### Exists 153
% 3.66/3.82 155. (-. (-. (Ex X, (-. (((All Y, ((-. (r1 X Y)) \/ ((p1 Y) \/ (All X, ((-. (r1 Y X)) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (p3 Y)))))))))) /\ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((p2 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ (-. (p2 X)))))))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p4 Y))) \/ ((-. (All Y, ((-. (r1 X Y)) \/ ((p4 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p4 Y))) \/ (-. (p4 X)))))))))) \/ (((-. (All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. (p3 X)))))))) /\ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((p2 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ (-. (p2 X)))))))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ ((-. (All Y, ((-. (r1 X Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))) \/ (-. (((((All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ ((p2 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ (-. (p2 Y))))))))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((p2 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ (-. (p2 X))))))))))) /\ ((p2 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ (-. (p2 Y)))))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((((All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ ((p2 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ (-. (p2 X))))))))))) \/ (-. (All X, ((-. (r1 Y X)) \/ ((p2 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ (-. (p2 Y))))))))))) /\ ((p2 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ (-. (p2 X)))))))) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (((All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ ((p2 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ (-. (p2 X))))))))))) \/ (-. (All X, ((-. (r1 Y X)) \/ ((p2 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ (-. (p2 Y))))))))))) /\ ((p2 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ (-. (p2 X)))))))))) \/ (-. (((All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ ((p2 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ (-. (p2 Y))))))))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((p2 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ (-. (p2 X))))))))))) /\ ((p2 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ (-. (p2 Y)))))))))))))))))) /\ (All Y, ((-. (r1 X Y)) \/ ((p2 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((p2 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ (-. (p2 Y))))))))))))))))))))))))) ### NotNot 154
% 3.66/3.82 % SZS output end Proof
% 3.66/3.82 (* END-PROOF *)
%------------------------------------------------------------------------------