TSTP Solution File: LCL668+1.001 by SuperZenon---0.0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SuperZenon---0.0.1
% Problem : LCL668+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 : n026.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 14:52:49 EDT 2022
% Result : Theorem 68.40s 68.58s
% Output : Proof 68.71s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LCL668+1.001 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s
% 0.14/0.34 % Computer : n026.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Sun Jul 3 07:47:06 EDT 2022
% 0.14/0.34 % CPUTime :
% 68.40/68.58 % SZS status Theorem
% 68.40/68.58 (* PROOF-FOUND *)
% 68.40/68.58 (* BEGIN-PROOF *)
% 68.40/68.58 % SZS output start Proof
% 68.40/68.58 1. (r1 T_0 T_1) (-. (r1 T_0 T_1)) ### Axiom
% 68.40/68.58 2. (-. (r1 T_1 T_1)) ### Refl(r1)
% 68.40/68.58 3. (r1 T_1 T_2) (-. (r1 T_1 T_2)) ### Axiom
% 68.40/68.58 4. (-. (r1 T_2 T_2)) ### Refl(r1)
% 68.40/68.58 5. (-. (r1 T_2 T_2)) ### Refl(r1)
% 68.40/68.58 6. (r1 T_2 T_3) (-. (r1 T_2 T_3)) ### Axiom
% 68.40/68.58 7. (-. (r1 T_3 T_3)) ### Refl(r1)
% 68.40/68.58 8. (-. (r1 T_3 T_3)) ### Refl(r1)
% 68.40/68.58 9. (-. (r1 T_0 T_0)) ### Refl(r1)
% 68.40/68.58 10. (-. (r1 T_0 T_0)) ### Refl(r1)
% 68.40/68.58 11. (-. (r1 T_0 T_0)) ### Refl(r1)
% 68.40/68.58 12. (r1 T_0 T_1) (-. (r1 T_0 T_1)) ### Axiom
% 68.40/68.58 13. (r1 T_1 T_2) (-. (r1 T_1 T_2)) ### Axiom
% 68.40/68.58 14. (-. (r1 T_2 T_2)) ### Refl(r1)
% 68.40/68.58 15. (-. (r1 T_2 T_2)) ### Refl(r1)
% 68.40/68.58 16. (r1 T_2 T_3) (-. (r1 T_2 T_3)) ### Axiom
% 68.40/68.58 17. (r1 T_0 T_1) (-. (r1 T_0 T_1)) ### Axiom
% 68.40/68.58 18. (-. (r1 T_1 T_1)) ### Refl(r1)
% 68.40/68.58 19. (-. (r1 T_1 T_1)) ### Refl(r1)
% 68.40/68.58 20. (r1 T_1 T_2) (-. (r1 T_1 T_2)) ### Axiom
% 68.40/68.58 21. (-. (r1 T_2 T_2)) ### Refl(r1)
% 68.40/68.58 22. (-. (r1 T_2 T_2)) ### Refl(r1)
% 68.40/68.58 23. (r1 T_2 T_3) (-. (r1 T_2 T_3)) ### Axiom
% 68.40/68.58 24. (-. (r1 T_3 T_3)) ### Refl(r1)
% 68.40/68.58 25. (-. (p5 T_3)) (p5 T_3) ### Axiom
% 68.40/68.58 26. (-. (-. (p5 T_3))) (-. (p5 T_3)) ### NotNot 25
% 68.40/68.58 27. (-. (r1 T_2 T_2)) ### Refl(r1)
% 68.40/68.58 28. (-. (r1 T_2 T_2)) ### Refl(r1)
% 68.40/68.58 29. (r1 T_2 T_3) (-. (r1 T_2 T_3)) ### Axiom
% 68.40/68.58 30. (-. (r1 T_3 T_3)) ### Refl(r1)
% 68.40/68.58 31. (p2 T_3) (-. (p2 T_3)) ### Axiom
% 68.40/68.58 32. (p1 T_3) (-. (p1 T_3)) ### Axiom
% 68.40/68.58 33. (-. ((p2 T_3) /\ (p1 T_3))) (p1 T_3) (p2 T_3) ### NotAnd 31 32
% 68.40/68.58 34. (-. (((-. (p1 T_3)) /\ (-. (p2 T_3))) \/ ((p2 T_3) /\ (p1 T_3)))) (p2 T_3) (p1 T_3) ### NotOr 33
% 68.40/68.58 35. ((-. (r1 T_3 T_3)) \/ (-. (((-. (p1 T_3)) /\ (-. (p2 T_3))) \/ ((p2 T_3) /\ (p1 T_3))))) (p1 T_3) (p2 T_3) ### Or 30 34
% 68.40/68.58 36. (All X, ((-. (r1 T_3 X)) \/ (-. (((-. (p1 X)) /\ (-. (p2 X))) \/ ((p2 X) /\ (p1 X)))))) (p2 T_3) (p1 T_3) ### All 35
% 68.40/68.58 37. ((-. (r1 T_2 T_3)) \/ (All X, ((-. (r1 T_3 X)) \/ (-. (((-. (p1 X)) /\ (-. (p2 X))) \/ ((p2 X) /\ (p1 X))))))) (p1 T_3) (p2 T_3) (r1 T_2 T_3) ### Or 29 36
% 68.40/68.58 38. (All Y, ((-. (r1 T_2 Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p1 X)) /\ (-. (p2 X))) \/ ((p2 X) /\ (p1 X)))))))) (r1 T_2 T_3) (p2 T_3) (p1 T_3) ### All 37
% 68.40/68.58 39. ((-. (r1 T_2 T_2)) \/ (All Y, ((-. (r1 T_2 Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p1 X)) /\ (-. (p2 X))) \/ ((p2 X) /\ (p1 X))))))))) (p1 T_3) (p2 T_3) (r1 T_2 T_3) ### Or 28 38
% 68.40/68.58 40. (All X, ((-. (r1 T_2 X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p1 X)) /\ (-. (p2 X))) \/ ((p2 X) /\ (p1 X)))))))))) (r1 T_2 T_3) (p2 T_3) (p1 T_3) ### All 39
% 68.40/68.58 41. (-. (-. (All X, ((-. (r1 T_2 X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p1 X)) /\ (-. (p2 X))) \/ ((p2 X) /\ (p1 X)))))))))))) (p1 T_3) (p2 T_3) (r1 T_2 T_3) ### NotNot 40
% 68.40/68.58 42. ((-. (r1 T_2 T_2)) \/ (-. (-. (All X, ((-. (r1 T_2 X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p1 X)) /\ (-. (p2 X))) \/ ((p2 X) /\ (p1 X))))))))))))) (r1 T_2 T_3) (p2 T_3) (p1 T_3) ### Or 27 41
% 68.40/68.58 43. (All Y, ((-. (r1 T_2 Y)) \/ (-. (-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p1 X)) /\ (-. (p2 X))) \/ ((p2 X) /\ (p1 X)))))))))))))) (p1 T_3) (p2 T_3) (r1 T_2 T_3) ### All 42
% 68.40/68.58 44. (-. (-. (p1 T_3))) (r1 T_2 T_3) (p2 T_3) (All Y, ((-. (r1 T_2 Y)) \/ (-. (-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p1 X)) /\ (-. (p2 X))) \/ ((p2 X) /\ (p1 X)))))))))))))) ### NotNot 43
% 68.40/68.58 45. (-. ((-. (p5 T_3)) /\ (-. (p1 T_3)))) (All Y, ((-. (r1 T_2 Y)) \/ (-. (-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p1 X)) /\ (-. (p2 X))) \/ ((p2 X) /\ (p1 X)))))))))))))) (p2 T_3) (r1 T_2 T_3) (-. (p5 T_3)) ### NotAnd 26 44
% 68.40/68.58 46. (-. (((-. (p5 T_3)) /\ (-. (p1 T_3))) \/ ((p1 T_3) /\ (p5 T_3)))) (-. (p5 T_3)) (r1 T_2 T_3) (p2 T_3) (All Y, ((-. (r1 T_2 Y)) \/ (-. (-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p1 X)) /\ (-. (p2 X))) \/ ((p2 X) /\ (p1 X)))))))))))))) ### NotOr 45
% 68.40/68.58 47. ((-. (r1 T_3 T_3)) \/ (-. (((-. (p5 T_3)) /\ (-. (p1 T_3))) \/ ((p1 T_3) /\ (p5 T_3))))) (All Y, ((-. (r1 T_2 Y)) \/ (-. (-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p1 X)) /\ (-. (p2 X))) \/ ((p2 X) /\ (p1 X)))))))))))))) (p2 T_3) (r1 T_2 T_3) (-. (p5 T_3)) ### Or 24 46
% 68.40/68.58 48. (All X, ((-. (r1 T_3 X)) \/ (-. (((-. (p5 X)) /\ (-. (p1 X))) \/ ((p1 X) /\ (p5 X)))))) (-. (p5 T_3)) (r1 T_2 T_3) (p2 T_3) (All Y, ((-. (r1 T_2 Y)) \/ (-. (-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p1 X)) /\ (-. (p2 X))) \/ ((p2 X) /\ (p1 X)))))))))))))) ### All 47
% 68.40/68.58 49. ((-. (r1 T_2 T_3)) \/ (All X, ((-. (r1 T_3 X)) \/ (-. (((-. (p5 X)) /\ (-. (p1 X))) \/ ((p1 X) /\ (p5 X))))))) (All Y, ((-. (r1 T_2 Y)) \/ (-. (-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p1 X)) /\ (-. (p2 X))) \/ ((p2 X) /\ (p1 X)))))))))))))) (p2 T_3) (-. (p5 T_3)) (r1 T_2 T_3) ### Or 23 48
% 68.40/68.58 50. (All Y, ((-. (r1 T_2 Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p5 X)) /\ (-. (p1 X))) \/ ((p1 X) /\ (p5 X)))))))) (r1 T_2 T_3) (-. (p5 T_3)) (p2 T_3) (All Y, ((-. (r1 T_2 Y)) \/ (-. (-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p1 X)) /\ (-. (p2 X))) \/ ((p2 X) /\ (p1 X)))))))))))))) ### All 49
% 68.40/68.58 51. ((-. (r1 T_2 T_2)) \/ (All Y, ((-. (r1 T_2 Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p5 X)) /\ (-. (p1 X))) \/ ((p1 X) /\ (p5 X))))))))) (All Y, ((-. (r1 T_2 Y)) \/ (-. (-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p1 X)) /\ (-. (p2 X))) \/ ((p2 X) /\ (p1 X)))))))))))))) (p2 T_3) (-. (p5 T_3)) (r1 T_2 T_3) ### Or 22 50
% 68.40/68.58 52. (All X, ((-. (r1 T_2 X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p5 X)) /\ (-. (p1 X))) \/ ((p1 X) /\ (p5 X)))))))))) (r1 T_2 T_3) (-. (p5 T_3)) (p2 T_3) (All Y, ((-. (r1 T_2 Y)) \/ (-. (-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p1 X)) /\ (-. (p2 X))) \/ ((p2 X) /\ (p1 X)))))))))))))) ### All 51
% 68.40/68.58 53. ((-. (r1 T_2 T_2)) \/ (All X, ((-. (r1 T_2 X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p5 X)) /\ (-. (p1 X))) \/ ((p1 X) /\ (p5 X))))))))))) (All Y, ((-. (r1 T_2 Y)) \/ (-. (-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p1 X)) /\ (-. (p2 X))) \/ ((p2 X) /\ (p1 X)))))))))))))) (p2 T_3) (-. (p5 T_3)) (r1 T_2 T_3) ### Or 21 52
% 68.40/68.58 54. (All Y, ((-. (r1 T_2 Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p5 X)) /\ (-. (p1 X))) \/ ((p1 X) /\ (p5 X)))))))))))) (r1 T_2 T_3) (-. (p5 T_3)) (p2 T_3) (All Y, ((-. (r1 T_2 Y)) \/ (-. (-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p1 X)) /\ (-. (p2 X))) \/ ((p2 X) /\ (p1 X)))))))))))))) ### All 53
% 68.40/68.58 55. ((-. (r1 T_1 T_2)) \/ (All Y, ((-. (r1 T_2 Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p5 X)) /\ (-. (p1 X))) \/ ((p1 X) /\ (p5 X))))))))))))) (All Y, ((-. (r1 T_2 Y)) \/ (-. (-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p1 X)) /\ (-. (p2 X))) \/ ((p2 X) /\ (p1 X)))))))))))))) (p2 T_3) (-. (p5 T_3)) (r1 T_2 T_3) (r1 T_1 T_2) ### Or 20 54
% 68.40/68.58 56. (All X, ((-. (r1 T_1 X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p5 X)) /\ (-. (p1 X))) \/ ((p1 X) /\ (p5 X)))))))))))))) (r1 T_1 T_2) (r1 T_2 T_3) (-. (p5 T_3)) (p2 T_3) (All Y, ((-. (r1 T_2 Y)) \/ (-. (-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p1 X)) /\ (-. (p2 X))) \/ ((p2 X) /\ (p1 X)))))))))))))) ### All 55
% 68.40/68.58 57. ((-. (r1 T_1 T_1)) \/ (All X, ((-. (r1 T_1 X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p5 X)) /\ (-. (p1 X))) \/ ((p1 X) /\ (p5 X))))))))))))))) (All Y, ((-. (r1 T_2 Y)) \/ (-. (-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p1 X)) /\ (-. (p2 X))) \/ ((p2 X) /\ (p1 X)))))))))))))) (p2 T_3) (-. (p5 T_3)) (r1 T_2 T_3) (r1 T_1 T_2) ### Or 19 56
% 68.40/68.59 58. (All Y, ((-. (r1 T_1 Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p5 X)) /\ (-. (p1 X))) \/ ((p1 X) /\ (p5 X)))))))))))))))) (r1 T_1 T_2) (r1 T_2 T_3) (-. (p5 T_3)) (p2 T_3) (All Y, ((-. (r1 T_2 Y)) \/ (-. (-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p1 X)) /\ (-. (p2 X))) \/ ((p2 X) /\ (p1 X)))))))))))))) ### All 57
% 68.40/68.59 59. ((-. (r1 T_1 T_1)) \/ (All Y, ((-. (r1 T_1 Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p5 X)) /\ (-. (p1 X))) \/ ((p1 X) /\ (p5 X))))))))))))))))) (All Y, ((-. (r1 T_2 Y)) \/ (-. (-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p1 X)) /\ (-. (p2 X))) \/ ((p2 X) /\ (p1 X)))))))))))))) (p2 T_3) (-. (p5 T_3)) (r1 T_2 T_3) (r1 T_1 T_2) ### Or 18 58
% 68.40/68.59 60. (All X, ((-. (r1 T_1 X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p5 X)) /\ (-. (p1 X))) \/ ((p1 X) /\ (p5 X)))))))))))))))))) (r1 T_1 T_2) (r1 T_2 T_3) (-. (p5 T_3)) (p2 T_3) (All Y, ((-. (r1 T_2 Y)) \/ (-. (-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p1 X)) /\ (-. (p2 X))) \/ ((p2 X) /\ (p1 X)))))))))))))) ### All 59
% 68.40/68.59 61. (-. ((-. (All X, ((-. (r1 T_1 X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p5 X)) /\ (-. (p1 X))) \/ ((p1 X) /\ (p5 X))))))))))))))))))) \/ ((All X, ((-. (r1 T_1 X)) \/ (p6 X))) \/ (-. (All X, ((-. (r1 T_1 X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p4 X)) /\ (-. (p5 X))) \/ ((p5 X) /\ (p4 X))))))))))))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p5 Y))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p3 X)) /\ (-. (p4 X))) \/ ((p4 X) /\ (p3 X))))))))))))))) \/ ((All X, ((-. (r1 Y X)) \/ (p4 X))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p2 X)) /\ (-. (p3 X))) \/ ((p3 X) /\ (p2 X))))))))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p3 Y))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p1 X)) /\ (-. (p2 X))) \/ ((p2 X) /\ (p1 X)))))))))))))))))))))))))))))))))))) (All Y, ((-. (r1 T_2 Y)) \/ (-. (-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p1 X)) /\ (-. (p2 X))) \/ ((p2 X) /\ (p1 X)))))))))))))) (p2 T_3) (-. (p5 T_3)) (r1 T_2 T_3) (r1 T_1 T_2) ### ConjTree 60
% 68.40/68.59 62. ((-. (r1 T_0 T_1)) \/ (-. ((-. (All X, ((-. (r1 T_1 X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p5 X)) /\ (-. (p1 X))) \/ ((p1 X) /\ (p5 X))))))))))))))))))) \/ ((All X, ((-. (r1 T_1 X)) \/ (p6 X))) \/ (-. (All X, ((-. (r1 T_1 X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p4 X)) /\ (-. (p5 X))) \/ ((p5 X) /\ (p4 X))))))))))))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p5 Y))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p3 X)) /\ (-. (p4 X))) \/ ((p4 X) /\ (p3 X))))))))))))))) \/ ((All X, ((-. (r1 Y X)) \/ (p4 X))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p2 X)) /\ (-. (p3 X))) \/ ((p3 X) /\ (p2 X))))))))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p3 Y))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p1 X)) /\ (-. (p2 X))) \/ ((p2 X) /\ (p1 X))))))))))))))))))))))))))))))))))))) (r1 T_1 T_2) (r1 T_2 T_3) (-. (p5 T_3)) (p2 T_3) (All Y, ((-. (r1 T_2 Y)) \/ (-. (-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p1 X)) /\ (-. (p2 X))) \/ ((p2 X) /\ (p1 X)))))))))))))) (r1 T_0 T_1) ### Or 17 61
% 68.40/68.59 63. (All Y, ((-. (r1 T_0 Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p5 X)) /\ (-. (p1 X))) \/ ((p1 X) /\ (p5 X))))))))))))))))))) \/ ((All X, ((-. (r1 Y X)) \/ (p6 X))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p4 X)) /\ (-. (p5 X))) \/ ((p5 X) /\ (p4 X))))))))))))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p5 Y))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p3 X)) /\ (-. (p4 X))) \/ ((p4 X) /\ (p3 X))))))))))))))) \/ ((All X, ((-. (r1 Y X)) \/ (p4 X))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p2 X)) /\ (-. (p3 X))) \/ ((p3 X) /\ (p2 X))))))))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p3 Y))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p1 X)) /\ (-. (p2 X))) \/ ((p2 X) /\ (p1 X)))))))))))))))))))))))))))))))))))))) (r1 T_0 T_1) (All Y, ((-. (r1 T_2 Y)) \/ (-. (-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p1 X)) /\ (-. (p2 X))) \/ ((p2 X) /\ (p1 X)))))))))))))) (p2 T_3) (-. (p5 T_3)) (r1 T_2 T_3) (r1 T_1 T_2) ### All 62
% 68.40/68.59 64. (p4 T_3) (-. (p4 T_3)) ### Axiom
% 68.40/68.59 65. (-. ((p5 T_3) /\ (p4 T_3))) (p4 T_3) (r1 T_1 T_2) (r1 T_2 T_3) (p2 T_3) (All Y, ((-. (r1 T_2 Y)) \/ (-. (-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p1 X)) /\ (-. (p2 X))) \/ ((p2 X) /\ (p1 X)))))))))))))) (r1 T_0 T_1) (All Y, ((-. (r1 T_0 Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p5 X)) /\ (-. (p1 X))) \/ ((p1 X) /\ (p5 X))))))))))))))))))) \/ ((All X, ((-. (r1 Y X)) \/ (p6 X))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p4 X)) /\ (-. (p5 X))) \/ ((p5 X) /\ (p4 X))))))))))))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p5 Y))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p3 X)) /\ (-. (p4 X))) \/ ((p4 X) /\ (p3 X))))))))))))))) \/ ((All X, ((-. (r1 Y X)) \/ (p4 X))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p2 X)) /\ (-. (p3 X))) \/ ((p3 X) /\ (p2 X))))))))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p3 Y))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p1 X)) /\ (-. (p2 X))) \/ ((p2 X) /\ (p1 X)))))))))))))))))))))))))))))))))))))) ### NotAnd 63 64
% 68.40/68.59 66. (-. (-. (p4 T_3))) (All Y, ((-. (r1 T_0 Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p5 X)) /\ (-. (p1 X))) \/ ((p1 X) /\ (p5 X))))))))))))))))))) \/ ((All X, ((-. (r1 Y X)) \/ (p6 X))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p4 X)) /\ (-. (p5 X))) \/ ((p5 X) /\ (p4 X))))))))))))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p5 Y))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p3 X)) /\ (-. (p4 X))) \/ ((p4 X) /\ (p3 X))))))))))))))) \/ ((All X, ((-. (r1 Y X)) \/ (p4 X))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p2 X)) /\ (-. (p3 X))) \/ ((p3 X) /\ (p2 X))))))))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p3 Y))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p1 X)) /\ (-. (p2 X))) \/ ((p2 X) /\ (p1 X)))))))))))))))))))))))))))))))))))))) (r1 T_0 T_1) (All Y, ((-. (r1 T_2 Y)) \/ (-. (-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p1 X)) /\ (-. (p2 X))) \/ ((p2 X) /\ (p1 X)))))))))))))) (p2 T_3) (r1 T_2 T_3) (r1 T_1 T_2) (-. ((p5 T_3) /\ (p4 T_3))) ### NotNot 65
% 68.63/68.86 67. (p5 T_3) (-. (p5 T_3)) ### Axiom
% 68.63/68.86 68. (-. (r1 T_2 T_2)) ### Refl(r1)
% 68.63/68.86 69. (-. (r1 T_2 T_2)) ### Refl(r1)
% 68.63/68.86 70. (-. (r1 T_2 T_2)) ### Refl(r1)
% 68.63/68.86 71. (-. (r1 T_2 T_2)) ### Refl(r1)
% 68.63/68.86 72. (r1 T_2 T_3) (-. (r1 T_2 T_3)) ### Axiom
% 68.63/68.86 73. (-. (p3 T_3)) (p3 T_3) ### Axiom
% 68.63/68.86 74. (-. (-. (p3 T_3))) (-. (p3 T_3)) ### NotNot 73
% 68.63/68.86 75. (-. (p4 T_3)) (p4 T_3) ### Axiom
% 68.63/68.86 76. (-. (-. (p4 T_3))) (-. (p4 T_3)) ### NotNot 75
% 68.63/68.86 77. (-. ((-. (p3 T_3)) /\ (-. (p4 T_3)))) (-. (p4 T_3)) (-. (p3 T_3)) ### NotAnd 74 76
% 68.63/68.86 78. (-. (((-. (p3 T_3)) /\ (-. (p4 T_3))) \/ ((p4 T_3) /\ (p3 T_3)))) (-. (p3 T_3)) (-. (p4 T_3)) ### NotOr 77
% 68.63/68.86 79. ((-. (r1 T_2 T_3)) \/ (-. (((-. (p3 T_3)) /\ (-. (p4 T_3))) \/ ((p4 T_3) /\ (p3 T_3))))) (-. (p4 T_3)) (-. (p3 T_3)) (r1 T_2 T_3) ### Or 72 78
% 68.63/68.86 80. (All X, ((-. (r1 T_2 X)) \/ (-. (((-. (p3 X)) /\ (-. (p4 X))) \/ ((p4 X) /\ (p3 X)))))) (r1 T_2 T_3) (-. (p3 T_3)) (-. (p4 T_3)) ### All 79
% 68.63/68.86 81. ((-. (r1 T_2 T_2)) \/ (All X, ((-. (r1 T_2 X)) \/ (-. (((-. (p3 X)) /\ (-. (p4 X))) \/ ((p4 X) /\ (p3 X))))))) (-. (p4 T_3)) (-. (p3 T_3)) (r1 T_2 T_3) ### Or 71 80
% 68.63/68.86 82. (All Y, ((-. (r1 T_2 Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p3 X)) /\ (-. (p4 X))) \/ ((p4 X) /\ (p3 X)))))))) (r1 T_2 T_3) (-. (p3 T_3)) (-. (p4 T_3)) ### All 81
% 68.63/68.86 83. ((-. (r1 T_2 T_2)) \/ (All Y, ((-. (r1 T_2 Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p3 X)) /\ (-. (p4 X))) \/ ((p4 X) /\ (p3 X))))))))) (-. (p4 T_3)) (-. (p3 T_3)) (r1 T_2 T_3) ### Or 70 82
% 68.63/68.86 84. (All X, ((-. (r1 T_2 X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p3 X)) /\ (-. (p4 X))) \/ ((p4 X) /\ (p3 X)))))))))) (r1 T_2 T_3) (-. (p3 T_3)) (-. (p4 T_3)) ### All 83
% 68.63/68.86 85. ((-. (r1 T_2 T_2)) \/ (All X, ((-. (r1 T_2 X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p3 X)) /\ (-. (p4 X))) \/ ((p4 X) /\ (p3 X))))))))))) (-. (p4 T_3)) (-. (p3 T_3)) (r1 T_2 T_3) ### Or 69 84
% 68.63/68.86 86. (All Y, ((-. (r1 T_2 Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p3 X)) /\ (-. (p4 X))) \/ ((p4 X) /\ (p3 X)))))))))))) (r1 T_2 T_3) (-. (p3 T_3)) (-. (p4 T_3)) ### All 85
% 68.63/68.86 87. ((-. (r1 T_2 T_2)) \/ (All Y, ((-. (r1 T_2 Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p3 X)) /\ (-. (p4 X))) \/ ((p4 X) /\ (p3 X))))))))))))) (-. (p4 T_3)) (-. (p3 T_3)) (r1 T_2 T_3) ### Or 68 86
% 68.63/68.86 88. (All X, ((-. (r1 T_2 X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p3 X)) /\ (-. (p4 X))) \/ ((p4 X) /\ (p3 X)))))))))))))) (r1 T_2 T_3) (-. (p3 T_3)) (-. (p4 T_3)) ### All 87
% 68.63/68.86 89. (-. ((p5 T_3) /\ (p4 T_3))) (-. (p3 T_3)) (r1 T_2 T_3) (All X, ((-. (r1 T_2 X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p3 X)) /\ (-. (p4 X))) \/ ((p4 X) /\ (p3 X)))))))))))))) (p5 T_3) ### NotAnd 67 88
% 68.63/68.86 90. (-. (-. (p5 T_3))) (All X, ((-. (r1 T_2 X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p3 X)) /\ (-. (p4 X))) \/ ((p4 X) /\ (p3 X)))))))))))))) (r1 T_2 T_3) (-. (p3 T_3)) (-. ((p5 T_3) /\ (p4 T_3))) ### NotNot 89
% 68.63/68.86 91. (-. ((-. (p4 T_3)) /\ (-. (p5 T_3)))) (-. (p3 T_3)) (All X, ((-. (r1 T_2 X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p3 X)) /\ (-. (p4 X))) \/ ((p4 X) /\ (p3 X)))))))))))))) (-. ((p5 T_3) /\ (p4 T_3))) (r1 T_1 T_2) (r1 T_2 T_3) (p2 T_3) (All Y, ((-. (r1 T_2 Y)) \/ (-. (-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p1 X)) /\ (-. (p2 X))) \/ ((p2 X) /\ (p1 X)))))))))))))) (r1 T_0 T_1) (All Y, ((-. (r1 T_0 Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p5 X)) /\ (-. (p1 X))) \/ ((p1 X) /\ (p5 X))))))))))))))))))) \/ ((All X, ((-. (r1 Y X)) \/ (p6 X))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p4 X)) /\ (-. (p5 X))) \/ ((p5 X) /\ (p4 X))))))))))))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p5 Y))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p3 X)) /\ (-. (p4 X))) \/ ((p4 X) /\ (p3 X))))))))))))))) \/ ((All X, ((-. (r1 Y X)) \/ (p4 X))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p2 X)) /\ (-. (p3 X))) \/ ((p3 X) /\ (p2 X))))))))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p3 Y))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p1 X)) /\ (-. (p2 X))) \/ ((p2 X) /\ (p1 X)))))))))))))))))))))))))))))))))))))) ### NotAnd 66 90
% 68.63/68.86 92. (-. (((-. (p4 T_3)) /\ (-. (p5 T_3))) \/ ((p5 T_3) /\ (p4 T_3)))) (All Y, ((-. (r1 T_0 Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p5 X)) /\ (-. (p1 X))) \/ ((p1 X) /\ (p5 X))))))))))))))))))) \/ ((All X, ((-. (r1 Y X)) \/ (p6 X))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p4 X)) /\ (-. (p5 X))) \/ ((p5 X) /\ (p4 X))))))))))))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p5 Y))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p3 X)) /\ (-. (p4 X))) \/ ((p4 X) /\ (p3 X))))))))))))))) \/ ((All X, ((-. (r1 Y X)) \/ (p4 X))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p2 X)) /\ (-. (p3 X))) \/ ((p3 X) /\ (p2 X))))))))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p3 Y))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p1 X)) /\ (-. (p2 X))) \/ ((p2 X) /\ (p1 X)))))))))))))))))))))))))))))))))))))) (r1 T_0 T_1) (All Y, ((-. (r1 T_2 Y)) \/ (-. (-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p1 X)) /\ (-. (p2 X))) \/ ((p2 X) /\ (p1 X)))))))))))))) (p2 T_3) (r1 T_2 T_3) (r1 T_1 T_2) (All X, ((-. (r1 T_2 X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p3 X)) /\ (-. (p4 X))) \/ ((p4 X) /\ (p3 X)))))))))))))) (-. (p3 T_3)) ### NotOr 91
% 68.63/68.88 93. ((-. (r1 T_2 T_3)) \/ (-. (((-. (p4 T_3)) /\ (-. (p5 T_3))) \/ ((p5 T_3) /\ (p4 T_3))))) (-. (p3 T_3)) (All X, ((-. (r1 T_2 X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p3 X)) /\ (-. (p4 X))) \/ ((p4 X) /\ (p3 X)))))))))))))) (r1 T_1 T_2) (p2 T_3) (All Y, ((-. (r1 T_2 Y)) \/ (-. (-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p1 X)) /\ (-. (p2 X))) \/ ((p2 X) /\ (p1 X)))))))))))))) (r1 T_0 T_1) (All Y, ((-. (r1 T_0 Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p5 X)) /\ (-. (p1 X))) \/ ((p1 X) /\ (p5 X))))))))))))))))))) \/ ((All X, ((-. (r1 Y X)) \/ (p6 X))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p4 X)) /\ (-. (p5 X))) \/ ((p5 X) /\ (p4 X))))))))))))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p5 Y))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p3 X)) /\ (-. (p4 X))) \/ ((p4 X) /\ (p3 X))))))))))))))) \/ ((All X, ((-. (r1 Y X)) \/ (p4 X))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p2 X)) /\ (-. (p3 X))) \/ ((p3 X) /\ (p2 X))))))))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p3 Y))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p1 X)) /\ (-. (p2 X))) \/ ((p2 X) /\ (p1 X)))))))))))))))))))))))))))))))))))))) (r1 T_2 T_3) ### Or 16 92
% 68.63/68.88 94. (All X, ((-. (r1 T_2 X)) \/ (-. (((-. (p4 X)) /\ (-. (p5 X))) \/ ((p5 X) /\ (p4 X)))))) (r1 T_2 T_3) (All Y, ((-. (r1 T_0 Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p5 X)) /\ (-. (p1 X))) \/ ((p1 X) /\ (p5 X))))))))))))))))))) \/ ((All X, ((-. (r1 Y X)) \/ (p6 X))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p4 X)) /\ (-. (p5 X))) \/ ((p5 X) /\ (p4 X))))))))))))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p5 Y))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p3 X)) /\ (-. (p4 X))) \/ ((p4 X) /\ (p3 X))))))))))))))) \/ ((All X, ((-. (r1 Y X)) \/ (p4 X))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p2 X)) /\ (-. (p3 X))) \/ ((p3 X) /\ (p2 X))))))))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p3 Y))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p1 X)) /\ (-. (p2 X))) \/ ((p2 X) /\ (p1 X)))))))))))))))))))))))))))))))))))))) (r1 T_0 T_1) (All Y, ((-. (r1 T_2 Y)) \/ (-. (-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p1 X)) /\ (-. (p2 X))) \/ ((p2 X) /\ (p1 X)))))))))))))) (p2 T_3) (r1 T_1 T_2) (All X, ((-. (r1 T_2 X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p3 X)) /\ (-. (p4 X))) \/ ((p4 X) /\ (p3 X)))))))))))))) (-. (p3 T_3)) ### All 93
% 68.63/68.88 95. ((-. (r1 T_2 T_2)) \/ (All X, ((-. (r1 T_2 X)) \/ (-. (((-. (p4 X)) /\ (-. (p5 X))) \/ ((p5 X) /\ (p4 X))))))) (-. (p3 T_3)) (All X, ((-. (r1 T_2 X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p3 X)) /\ (-. (p4 X))) \/ ((p4 X) /\ (p3 X)))))))))))))) (r1 T_1 T_2) (p2 T_3) (All Y, ((-. (r1 T_2 Y)) \/ (-. (-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p1 X)) /\ (-. (p2 X))) \/ ((p2 X) /\ (p1 X)))))))))))))) (r1 T_0 T_1) (All Y, ((-. (r1 T_0 Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p5 X)) /\ (-. (p1 X))) \/ ((p1 X) /\ (p5 X))))))))))))))))))) \/ ((All X, ((-. (r1 Y X)) \/ (p6 X))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p4 X)) /\ (-. (p5 X))) \/ ((p5 X) /\ (p4 X))))))))))))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p5 Y))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p3 X)) /\ (-. (p4 X))) \/ ((p4 X) /\ (p3 X))))))))))))))) \/ ((All X, ((-. (r1 Y X)) \/ (p4 X))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p2 X)) /\ (-. (p3 X))) \/ ((p3 X) /\ (p2 X))))))))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p3 Y))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p1 X)) /\ (-. (p2 X))) \/ ((p2 X) /\ (p1 X)))))))))))))))))))))))))))))))))))))) (r1 T_2 T_3) ### Or 15 94
% 68.63/68.88 96. (All Y, ((-. (r1 T_2 Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p4 X)) /\ (-. (p5 X))) \/ ((p5 X) /\ (p4 X)))))))) (r1 T_2 T_3) (All Y, ((-. (r1 T_0 Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p5 X)) /\ (-. (p1 X))) \/ ((p1 X) /\ (p5 X))))))))))))))))))) \/ ((All X, ((-. (r1 Y X)) \/ (p6 X))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p4 X)) /\ (-. (p5 X))) \/ ((p5 X) /\ (p4 X))))))))))))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p5 Y))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p3 X)) /\ (-. (p4 X))) \/ ((p4 X) /\ (p3 X))))))))))))))) \/ ((All X, ((-. (r1 Y X)) \/ (p4 X))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p2 X)) /\ (-. (p3 X))) \/ ((p3 X) /\ (p2 X))))))))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p3 Y))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p1 X)) /\ (-. (p2 X))) \/ ((p2 X) /\ (p1 X)))))))))))))))))))))))))))))))))))))) (r1 T_0 T_1) (All Y, ((-. (r1 T_2 Y)) \/ (-. (-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p1 X)) /\ (-. (p2 X))) \/ ((p2 X) /\ (p1 X)))))))))))))) (p2 T_3) (r1 T_1 T_2) (All X, ((-. (r1 T_2 X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p3 X)) /\ (-. (p4 X))) \/ ((p4 X) /\ (p3 X)))))))))))))) (-. (p3 T_3)) ### All 95
% 68.71/68.90 97. ((-. (r1 T_2 T_2)) \/ (All Y, ((-. (r1 T_2 Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p4 X)) /\ (-. (p5 X))) \/ ((p5 X) /\ (p4 X))))))))) (-. (p3 T_3)) (All X, ((-. (r1 T_2 X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p3 X)) /\ (-. (p4 X))) \/ ((p4 X) /\ (p3 X)))))))))))))) (r1 T_1 T_2) (p2 T_3) (All Y, ((-. (r1 T_2 Y)) \/ (-. (-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p1 X)) /\ (-. (p2 X))) \/ ((p2 X) /\ (p1 X)))))))))))))) (r1 T_0 T_1) (All Y, ((-. (r1 T_0 Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p5 X)) /\ (-. (p1 X))) \/ ((p1 X) /\ (p5 X))))))))))))))))))) \/ ((All X, ((-. (r1 Y X)) \/ (p6 X))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p4 X)) /\ (-. (p5 X))) \/ ((p5 X) /\ (p4 X))))))))))))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p5 Y))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p3 X)) /\ (-. (p4 X))) \/ ((p4 X) /\ (p3 X))))))))))))))) \/ ((All X, ((-. (r1 Y X)) \/ (p4 X))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p2 X)) /\ (-. (p3 X))) \/ ((p3 X) /\ (p2 X))))))))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p3 Y))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p1 X)) /\ (-. (p2 X))) \/ ((p2 X) /\ (p1 X)))))))))))))))))))))))))))))))))))))) (r1 T_2 T_3) ### Or 14 96
% 68.71/68.90 98. (All X, ((-. (r1 T_2 X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p4 X)) /\ (-. (p5 X))) \/ ((p5 X) /\ (p4 X)))))))))) (r1 T_2 T_3) (All Y, ((-. (r1 T_0 Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p5 X)) /\ (-. (p1 X))) \/ ((p1 X) /\ (p5 X))))))))))))))))))) \/ ((All X, ((-. (r1 Y X)) \/ (p6 X))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p4 X)) /\ (-. (p5 X))) \/ ((p5 X) /\ (p4 X))))))))))))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p5 Y))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p3 X)) /\ (-. (p4 X))) \/ ((p4 X) /\ (p3 X))))))))))))))) \/ ((All X, ((-. (r1 Y X)) \/ (p4 X))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p2 X)) /\ (-. (p3 X))) \/ ((p3 X) /\ (p2 X))))))))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p3 Y))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p1 X)) /\ (-. (p2 X))) \/ ((p2 X) /\ (p1 X)))))))))))))))))))))))))))))))))))))) (r1 T_0 T_1) (All Y, ((-. (r1 T_2 Y)) \/ (-. (-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p1 X)) /\ (-. (p2 X))) \/ ((p2 X) /\ (p1 X)))))))))))))) (p2 T_3) (r1 T_1 T_2) (All X, ((-. (r1 T_2 X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p3 X)) /\ (-. (p4 X))) \/ ((p4 X) /\ (p3 X)))))))))))))) (-. (p3 T_3)) ### All 97
% 68.71/68.90 99. ((-. (r1 T_1 T_2)) \/ (All X, ((-. (r1 T_2 X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p4 X)) /\ (-. (p5 X))) \/ ((p5 X) /\ (p4 X))))))))))) (-. (p3 T_3)) (All X, ((-. (r1 T_2 X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p3 X)) /\ (-. (p4 X))) \/ ((p4 X) /\ (p3 X)))))))))))))) (p2 T_3) (All Y, ((-. (r1 T_2 Y)) \/ (-. (-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p1 X)) /\ (-. (p2 X))) \/ ((p2 X) /\ (p1 X)))))))))))))) (r1 T_0 T_1) (All Y, ((-. (r1 T_0 Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p5 X)) /\ (-. (p1 X))) \/ ((p1 X) /\ (p5 X))))))))))))))))))) \/ ((All X, ((-. (r1 Y X)) \/ (p6 X))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p4 X)) /\ (-. (p5 X))) \/ ((p5 X) /\ (p4 X))))))))))))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p5 Y))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p3 X)) /\ (-. (p4 X))) \/ ((p4 X) /\ (p3 X))))))))))))))) \/ ((All X, ((-. (r1 Y X)) \/ (p4 X))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p2 X)) /\ (-. (p3 X))) \/ ((p3 X) /\ (p2 X))))))))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p3 Y))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p1 X)) /\ (-. (p2 X))) \/ ((p2 X) /\ (p1 X)))))))))))))))))))))))))))))))))))))) (r1 T_2 T_3) (r1 T_1 T_2) ### Or 13 98
% 68.71/68.90 100. (All Y, ((-. (r1 T_1 Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p4 X)) /\ (-. (p5 X))) \/ ((p5 X) /\ (p4 X)))))))))))) (r1 T_1 T_2) (r1 T_2 T_3) (All Y, ((-. (r1 T_0 Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p5 X)) /\ (-. (p1 X))) \/ ((p1 X) /\ (p5 X))))))))))))))))))) \/ ((All X, ((-. (r1 Y X)) \/ (p6 X))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p4 X)) /\ (-. (p5 X))) \/ ((p5 X) /\ (p4 X))))))))))))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p5 Y))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p3 X)) /\ (-. (p4 X))) \/ ((p4 X) /\ (p3 X))))))))))))))) \/ ((All X, ((-. (r1 Y X)) \/ (p4 X))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p2 X)) /\ (-. (p3 X))) \/ ((p3 X) /\ (p2 X))))))))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p3 Y))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p1 X)) /\ (-. (p2 X))) \/ ((p2 X) /\ (p1 X)))))))))))))))))))))))))))))))))))))) (r1 T_0 T_1) (All Y, ((-. (r1 T_2 Y)) \/ (-. (-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p1 X)) /\ (-. (p2 X))) \/ ((p2 X) /\ (p1 X)))))))))))))) (p2 T_3) (All X, ((-. (r1 T_2 X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p3 X)) /\ (-. (p4 X))) \/ ((p4 X) /\ (p3 X)))))))))))))) (-. (p3 T_3)) ### All 99
% 68.71/68.90 101. ((-. (r1 T_0 T_1)) \/ (All Y, ((-. (r1 T_1 Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p4 X)) /\ (-. (p5 X))) \/ ((p5 X) /\ (p4 X))))))))))))) (-. (p3 T_3)) (All X, ((-. (r1 T_2 X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p3 X)) /\ (-. (p4 X))) \/ ((p4 X) /\ (p3 X)))))))))))))) (p2 T_3) (All Y, ((-. (r1 T_2 Y)) \/ (-. (-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p1 X)) /\ (-. (p2 X))) \/ ((p2 X) /\ (p1 X)))))))))))))) (All Y, ((-. (r1 T_0 Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p5 X)) /\ (-. (p1 X))) \/ ((p1 X) /\ (p5 X))))))))))))))))))) \/ ((All X, ((-. (r1 Y X)) \/ (p6 X))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p4 X)) /\ (-. (p5 X))) \/ ((p5 X) /\ (p4 X))))))))))))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p5 Y))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p3 X)) /\ (-. (p4 X))) \/ ((p4 X) /\ (p3 X))))))))))))))) \/ ((All X, ((-. (r1 Y X)) \/ (p4 X))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p2 X)) /\ (-. (p3 X))) \/ ((p3 X) /\ (p2 X))))))))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p3 Y))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p1 X)) /\ (-. (p2 X))) \/ ((p2 X) /\ (p1 X)))))))))))))))))))))))))))))))))))))) (r1 T_2 T_3) (r1 T_1 T_2) (r1 T_0 T_1) ### Or 12 100
% 68.71/68.91 102. (All X, ((-. (r1 T_0 X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p4 X)) /\ (-. (p5 X))) \/ ((p5 X) /\ (p4 X)))))))))))))) (r1 T_0 T_1) (r1 T_1 T_2) (r1 T_2 T_3) (All Y, ((-. (r1 T_0 Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p5 X)) /\ (-. (p1 X))) \/ ((p1 X) /\ (p5 X))))))))))))))))))) \/ ((All X, ((-. (r1 Y X)) \/ (p6 X))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p4 X)) /\ (-. (p5 X))) \/ ((p5 X) /\ (p4 X))))))))))))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p5 Y))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p3 X)) /\ (-. (p4 X))) \/ ((p4 X) /\ (p3 X))))))))))))))) \/ ((All X, ((-. (r1 Y X)) \/ (p4 X))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p2 X)) /\ (-. (p3 X))) \/ ((p3 X) /\ (p2 X))))))))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p3 Y))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p1 X)) /\ (-. (p2 X))) \/ ((p2 X) /\ (p1 X)))))))))))))))))))))))))))))))))))))) (All Y, ((-. (r1 T_2 Y)) \/ (-. (-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p1 X)) /\ (-. (p2 X))) \/ ((p2 X) /\ (p1 X)))))))))))))) (p2 T_3) (All X, ((-. (r1 T_2 X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p3 X)) /\ (-. (p4 X))) \/ ((p4 X) /\ (p3 X)))))))))))))) (-. (p3 T_3)) ### All 101
% 68.71/68.91 103. ((-. (r1 T_0 T_0)) \/ (All X, ((-. (r1 T_0 X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p4 X)) /\ (-. (p5 X))) \/ ((p5 X) /\ (p4 X))))))))))))))) (-. (p3 T_3)) (All X, ((-. (r1 T_2 X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p3 X)) /\ (-. (p4 X))) \/ ((p4 X) /\ (p3 X)))))))))))))) (p2 T_3) (All Y, ((-. (r1 T_2 Y)) \/ (-. (-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p1 X)) /\ (-. (p2 X))) \/ ((p2 X) /\ (p1 X)))))))))))))) (All Y, ((-. (r1 T_0 Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p5 X)) /\ (-. (p1 X))) \/ ((p1 X) /\ (p5 X))))))))))))))))))) \/ ((All X, ((-. (r1 Y X)) \/ (p6 X))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p4 X)) /\ (-. (p5 X))) \/ ((p5 X) /\ (p4 X))))))))))))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p5 Y))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p3 X)) /\ (-. (p4 X))) \/ ((p4 X) /\ (p3 X))))))))))))))) \/ ((All X, ((-. (r1 Y X)) \/ (p4 X))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p2 X)) /\ (-. (p3 X))) \/ ((p3 X) /\ (p2 X))))))))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p3 Y))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p1 X)) /\ (-. (p2 X))) \/ ((p2 X) /\ (p1 X)))))))))))))))))))))))))))))))))))))) (r1 T_2 T_3) (r1 T_1 T_2) (r1 T_0 T_1) ### Or 11 102
% 68.71/68.91 104. (All Y, ((-. (r1 T_0 Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p4 X)) /\ (-. (p5 X))) \/ ((p5 X) /\ (p4 X)))))))))))))))) (r1 T_0 T_1) (r1 T_1 T_2) (r1 T_2 T_3) (All Y, ((-. (r1 T_0 Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p5 X)) /\ (-. (p1 X))) \/ ((p1 X) /\ (p5 X))))))))))))))))))) \/ ((All X, ((-. (r1 Y X)) \/ (p6 X))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p4 X)) /\ (-. (p5 X))) \/ ((p5 X) /\ (p4 X))))))))))))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p5 Y))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p3 X)) /\ (-. (p4 X))) \/ ((p4 X) /\ (p3 X))))))))))))))) \/ ((All X, ((-. (r1 Y X)) \/ (p4 X))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p2 X)) /\ (-. (p3 X))) \/ ((p3 X) /\ (p2 X))))))))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p3 Y))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p1 X)) /\ (-. (p2 X))) \/ ((p2 X) /\ (p1 X)))))))))))))))))))))))))))))))))))))) (All Y, ((-. (r1 T_2 Y)) \/ (-. (-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p1 X)) /\ (-. (p2 X))) \/ ((p2 X) /\ (p1 X)))))))))))))) (p2 T_3) (All X, ((-. (r1 T_2 X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p3 X)) /\ (-. (p4 X))) \/ ((p4 X) /\ (p3 X)))))))))))))) (-. (p3 T_3)) ### All 103
% 68.71/68.91 105. (-. ((-. (All Y, ((-. (r1 T_0 Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p4 X)) /\ (-. (p5 X))) \/ ((p5 X) /\ (p4 X))))))))))))))))) \/ ((All Y, ((-. (r1 T_0 Y)) \/ (p5 Y))) \/ (-. (All Y, ((-. (r1 T_0 Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p3 X)) /\ (-. (p4 X))) \/ ((p4 X) /\ (p3 X))))))))))))))) \/ ((All X, ((-. (r1 Y X)) \/ (p4 X))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p2 X)) /\ (-. (p3 X))) \/ ((p3 X) /\ (p2 X))))))))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p3 Y))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p1 X)) /\ (-. (p2 X))) \/ ((p2 X) /\ (p1 X)))))))))))))))))))))))))))))) (-. (p3 T_3)) (All X, ((-. (r1 T_2 X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p3 X)) /\ (-. (p4 X))) \/ ((p4 X) /\ (p3 X)))))))))))))) (p2 T_3) (All Y, ((-. (r1 T_2 Y)) \/ (-. (-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p1 X)) /\ (-. (p2 X))) \/ ((p2 X) /\ (p1 X)))))))))))))) (All Y, ((-. (r1 T_0 Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p5 X)) /\ (-. (p1 X))) \/ ((p1 X) /\ (p5 X))))))))))))))))))) \/ ((All X, ((-. (r1 Y X)) \/ (p6 X))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p4 X)) /\ (-. (p5 X))) \/ ((p5 X) /\ (p4 X))))))))))))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p5 Y))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p3 X)) /\ (-. (p4 X))) \/ ((p4 X) /\ (p3 X))))))))))))))) \/ ((All X, ((-. (r1 Y X)) \/ (p4 X))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p2 X)) /\ (-. (p3 X))) \/ ((p3 X) /\ (p2 X))))))))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p3 Y))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p1 X)) /\ (-. (p2 X))) \/ ((p2 X) /\ (p1 X)))))))))))))))))))))))))))))))))))))) (r1 T_2 T_3) (r1 T_1 T_2) (r1 T_0 T_1) ### ConjTree 104
% 68.71/68.91 106. ((-. (r1 T_0 T_0)) \/ (-. ((-. (All Y, ((-. (r1 T_0 Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p4 X)) /\ (-. (p5 X))) \/ ((p5 X) /\ (p4 X))))))))))))))))) \/ ((All Y, ((-. (r1 T_0 Y)) \/ (p5 Y))) \/ (-. (All Y, ((-. (r1 T_0 Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p3 X)) /\ (-. (p4 X))) \/ ((p4 X) /\ (p3 X))))))))))))))) \/ ((All X, ((-. (r1 Y X)) \/ (p4 X))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p2 X)) /\ (-. (p3 X))) \/ ((p3 X) /\ (p2 X))))))))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p3 Y))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p1 X)) /\ (-. (p2 X))) \/ ((p2 X) /\ (p1 X))))))))))))))))))))))))))))))) (r1 T_0 T_1) (r1 T_1 T_2) (r1 T_2 T_3) (All Y, ((-. (r1 T_0 Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p5 X)) /\ (-. (p1 X))) \/ ((p1 X) /\ (p5 X))))))))))))))))))) \/ ((All X, ((-. (r1 Y X)) \/ (p6 X))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p4 X)) /\ (-. (p5 X))) \/ ((p5 X) /\ (p4 X))))))))))))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p5 Y))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p3 X)) /\ (-. (p4 X))) \/ ((p4 X) /\ (p3 X))))))))))))))) \/ ((All X, ((-. (r1 Y X)) \/ (p4 X))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p2 X)) /\ (-. (p3 X))) \/ ((p3 X) /\ (p2 X))))))))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p3 Y))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p1 X)) /\ (-. (p2 X))) \/ ((p2 X) /\ (p1 X)))))))))))))))))))))))))))))))))))))) (All Y, ((-. (r1 T_2 Y)) \/ (-. (-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p1 X)) /\ (-. (p2 X))) \/ ((p2 X) /\ (p1 X)))))))))))))) (p2 T_3) (All X, ((-. (r1 T_2 X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p3 X)) /\ (-. (p4 X))) \/ ((p4 X) /\ (p3 X)))))))))))))) (-. (p3 T_3)) ### Or 10 105
% 68.71/68.91 107. (All X, ((-. (r1 T_0 X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p4 X)) /\ (-. (p5 X))) \/ ((p5 X) /\ (p4 X))))))))))))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p5 Y))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p3 X)) /\ (-. (p4 X))) \/ ((p4 X) /\ (p3 X))))))))))))))) \/ ((All X, ((-. (r1 Y X)) \/ (p4 X))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p2 X)) /\ (-. (p3 X))) \/ ((p3 X) /\ (p2 X))))))))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p3 Y))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p1 X)) /\ (-. (p2 X))) \/ ((p2 X) /\ (p1 X)))))))))))))))))))))))))))))))) (-. (p3 T_3)) (All X, ((-. (r1 T_2 X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p3 X)) /\ (-. (p4 X))) \/ ((p4 X) /\ (p3 X)))))))))))))) (p2 T_3) (All Y, ((-. (r1 T_2 Y)) \/ (-. (-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p1 X)) /\ (-. (p2 X))) \/ ((p2 X) /\ (p1 X)))))))))))))) (All Y, ((-. (r1 T_0 Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p5 X)) /\ (-. (p1 X))) \/ ((p1 X) /\ (p5 X))))))))))))))))))) \/ ((All X, ((-. (r1 Y X)) \/ (p6 X))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p4 X)) /\ (-. (p5 X))) \/ ((p5 X) /\ (p4 X))))))))))))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p5 Y))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p3 X)) /\ (-. (p4 X))) \/ ((p4 X) /\ (p3 X))))))))))))))) \/ ((All X, ((-. (r1 Y X)) \/ (p4 X))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p2 X)) /\ (-. (p3 X))) \/ ((p3 X) /\ (p2 X))))))))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p3 Y))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p1 X)) /\ (-. (p2 X))) \/ ((p2 X) /\ (p1 X)))))))))))))))))))))))))))))))))))))) (r1 T_2 T_3) (r1 T_1 T_2) (r1 T_0 T_1) ### All 106
% 68.71/68.92 108. (-. ((-. (All X, ((-. (r1 T_0 X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p5 X)) /\ (-. (p1 X))) \/ ((p1 X) /\ (p5 X))))))))))))))))))) \/ ((All X, ((-. (r1 T_0 X)) \/ (p6 X))) \/ (-. (All X, ((-. (r1 T_0 X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p4 X)) /\ (-. (p5 X))) \/ ((p5 X) /\ (p4 X))))))))))))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p5 Y))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p3 X)) /\ (-. (p4 X))) \/ ((p4 X) /\ (p3 X))))))))))))))) \/ ((All X, ((-. (r1 Y X)) \/ (p4 X))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p2 X)) /\ (-. (p3 X))) \/ ((p3 X) /\ (p2 X))))))))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p3 Y))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p1 X)) /\ (-. (p2 X))) \/ ((p2 X) /\ (p1 X)))))))))))))))))))))))))))))))))))) (r1 T_0 T_1) (r1 T_1 T_2) (r1 T_2 T_3) (All Y, ((-. (r1 T_0 Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p5 X)) /\ (-. (p1 X))) \/ ((p1 X) /\ (p5 X))))))))))))))))))) \/ ((All X, ((-. (r1 Y X)) \/ (p6 X))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p4 X)) /\ (-. (p5 X))) \/ ((p5 X) /\ (p4 X))))))))))))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p5 Y))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p3 X)) /\ (-. (p4 X))) \/ ((p4 X) /\ (p3 X))))))))))))))) \/ ((All X, ((-. (r1 Y X)) \/ (p4 X))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p2 X)) /\ (-. (p3 X))) \/ ((p3 X) /\ (p2 X))))))))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p3 Y))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p1 X)) /\ (-. (p2 X))) \/ ((p2 X) /\ (p1 X)))))))))))))))))))))))))))))))))))))) (All Y, ((-. (r1 T_2 Y)) \/ (-. (-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p1 X)) /\ (-. (p2 X))) \/ ((p2 X) /\ (p1 X)))))))))))))) (p2 T_3) (All X, ((-. (r1 T_2 X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p3 X)) /\ (-. (p4 X))) \/ ((p4 X) /\ (p3 X)))))))))))))) (-. (p3 T_3)) ### ConjTree 107
% 68.71/68.92 109. ((-. (r1 T_0 T_0)) \/ (-. ((-. (All X, ((-. (r1 T_0 X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p5 X)) /\ (-. (p1 X))) \/ ((p1 X) /\ (p5 X))))))))))))))))))) \/ ((All X, ((-. (r1 T_0 X)) \/ (p6 X))) \/ (-. (All X, ((-. (r1 T_0 X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p4 X)) /\ (-. (p5 X))) \/ ((p5 X) /\ (p4 X))))))))))))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p5 Y))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p3 X)) /\ (-. (p4 X))) \/ ((p4 X) /\ (p3 X))))))))))))))) \/ ((All X, ((-. (r1 Y X)) \/ (p4 X))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p2 X)) /\ (-. (p3 X))) \/ ((p3 X) /\ (p2 X))))))))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p3 Y))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p1 X)) /\ (-. (p2 X))) \/ ((p2 X) /\ (p1 X))))))))))))))))))))))))))))))))))))) (-. (p3 T_3)) (All X, ((-. (r1 T_2 X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p3 X)) /\ (-. (p4 X))) \/ ((p4 X) /\ (p3 X)))))))))))))) (p2 T_3) (All Y, ((-. (r1 T_2 Y)) \/ (-. (-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p1 X)) /\ (-. (p2 X))) \/ ((p2 X) /\ (p1 X)))))))))))))) (All Y, ((-. (r1 T_0 Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p5 X)) /\ (-. (p1 X))) \/ ((p1 X) /\ (p5 X))))))))))))))))))) \/ ((All X, ((-. (r1 Y X)) \/ (p6 X))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p4 X)) /\ (-. (p5 X))) \/ ((p5 X) /\ (p4 X))))))))))))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p5 Y))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p3 X)) /\ (-. (p4 X))) \/ ((p4 X) /\ (p3 X))))))))))))))) \/ ((All X, ((-. (r1 Y X)) \/ (p4 X))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p2 X)) /\ (-. (p3 X))) \/ ((p3 X) /\ (p2 X))))))))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p3 Y))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p1 X)) /\ (-. (p2 X))) \/ ((p2 X) /\ (p1 X)))))))))))))))))))))))))))))))))))))) (r1 T_2 T_3) (r1 T_1 T_2) (r1 T_0 T_1) ### Or 9 108
% 68.71/68.92 110. (r1 T_0 T_1) (r1 T_1 T_2) (r1 T_2 T_3) (All Y, ((-. (r1 T_0 Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p5 X)) /\ (-. (p1 X))) \/ ((p1 X) /\ (p5 X))))))))))))))))))) \/ ((All X, ((-. (r1 Y X)) \/ (p6 X))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p4 X)) /\ (-. (p5 X))) \/ ((p5 X) /\ (p4 X))))))))))))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p5 Y))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p3 X)) /\ (-. (p4 X))) \/ ((p4 X) /\ (p3 X))))))))))))))) \/ ((All X, ((-. (r1 Y X)) \/ (p4 X))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p2 X)) /\ (-. (p3 X))) \/ ((p3 X) /\ (p2 X))))))))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p3 Y))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p1 X)) /\ (-. (p2 X))) \/ ((p2 X) /\ (p1 X)))))))))))))))))))))))))))))))))))))) (All Y, ((-. (r1 T_2 Y)) \/ (-. (-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p1 X)) /\ (-. (p2 X))) \/ ((p2 X) /\ (p1 X)))))))))))))) (p2 T_3) (All X, ((-. (r1 T_2 X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p3 X)) /\ (-. (p4 X))) \/ ((p4 X) /\ (p3 X)))))))))))))) (-. (p3 T_3)) ### All 109
% 68.71/68.92 111. (-. (-. (p2 T_3))) (-. (p3 T_3)) (All X, ((-. (r1 T_2 X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p3 X)) /\ (-. (p4 X))) \/ ((p4 X) /\ (p3 X)))))))))))))) (All Y, ((-. (r1 T_2 Y)) \/ (-. (-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p1 X)) /\ (-. (p2 X))) \/ ((p2 X) /\ (p1 X)))))))))))))) (All Y, ((-. (r1 T_0 Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p5 X)) /\ (-. (p1 X))) \/ ((p1 X) /\ (p5 X))))))))))))))))))) \/ ((All X, ((-. (r1 Y X)) \/ (p6 X))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p4 X)) /\ (-. (p5 X))) \/ ((p5 X) /\ (p4 X))))))))))))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p5 Y))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p3 X)) /\ (-. (p4 X))) \/ ((p4 X) /\ (p3 X))))))))))))))) \/ ((All X, ((-. (r1 Y X)) \/ (p4 X))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p2 X)) /\ (-. (p3 X))) \/ ((p3 X) /\ (p2 X))))))))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p3 Y))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p1 X)) /\ (-. (p2 X))) \/ ((p2 X) /\ (p1 X)))))))))))))))))))))))))))))))))))))) (r1 T_2 T_3) (r1 T_1 T_2) (r1 T_0 T_1) ### NotNot 110
% 68.71/68.92 112. (-. ((-. (p2 T_3)) /\ (-. (p3 T_3)))) (r1 T_0 T_1) (r1 T_1 T_2) (r1 T_2 T_3) (All Y, ((-. (r1 T_0 Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p5 X)) /\ (-. (p1 X))) \/ ((p1 X) /\ (p5 X))))))))))))))))))) \/ ((All X, ((-. (r1 Y X)) \/ (p6 X))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p4 X)) /\ (-. (p5 X))) \/ ((p5 X) /\ (p4 X))))))))))))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p5 Y))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p3 X)) /\ (-. (p4 X))) \/ ((p4 X) /\ (p3 X))))))))))))))) \/ ((All X, ((-. (r1 Y X)) \/ (p4 X))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p2 X)) /\ (-. (p3 X))) \/ ((p3 X) /\ (p2 X))))))))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p3 Y))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p1 X)) /\ (-. (p2 X))) \/ ((p2 X) /\ (p1 X)))))))))))))))))))))))))))))))))))))) (All Y, ((-. (r1 T_2 Y)) \/ (-. (-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p1 X)) /\ (-. (p2 X))) \/ ((p2 X) /\ (p1 X)))))))))))))) (All X, ((-. (r1 T_2 X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p3 X)) /\ (-. (p4 X))) \/ ((p4 X) /\ (p3 X)))))))))))))) (-. (p3 T_3)) ### NotAnd 111 74
% 68.71/68.92 113. (-. (((-. (p2 T_3)) /\ (-. (p3 T_3))) \/ ((p3 T_3) /\ (p2 T_3)))) (-. (p3 T_3)) (All X, ((-. (r1 T_2 X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p3 X)) /\ (-. (p4 X))) \/ ((p4 X) /\ (p3 X)))))))))))))) (All Y, ((-. (r1 T_2 Y)) \/ (-. (-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p1 X)) /\ (-. (p2 X))) \/ ((p2 X) /\ (p1 X)))))))))))))) (All Y, ((-. (r1 T_0 Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p5 X)) /\ (-. (p1 X))) \/ ((p1 X) /\ (p5 X))))))))))))))))))) \/ ((All X, ((-. (r1 Y X)) \/ (p6 X))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p4 X)) /\ (-. (p5 X))) \/ ((p5 X) /\ (p4 X))))))))))))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p5 Y))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p3 X)) /\ (-. (p4 X))) \/ ((p4 X) /\ (p3 X))))))))))))))) \/ ((All X, ((-. (r1 Y X)) \/ (p4 X))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p2 X)) /\ (-. (p3 X))) \/ ((p3 X) /\ (p2 X))))))))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p3 Y))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p1 X)) /\ (-. (p2 X))) \/ ((p2 X) /\ (p1 X)))))))))))))))))))))))))))))))))))))) (r1 T_2 T_3) (r1 T_1 T_2) (r1 T_0 T_1) ### NotOr 112
% 68.71/68.92 114. ((-. (r1 T_3 T_3)) \/ (-. (((-. (p2 T_3)) /\ (-. (p3 T_3))) \/ ((p3 T_3) /\ (p2 T_3))))) (r1 T_0 T_1) (r1 T_1 T_2) (r1 T_2 T_3) (All Y, ((-. (r1 T_0 Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p5 X)) /\ (-. (p1 X))) \/ ((p1 X) /\ (p5 X))))))))))))))))))) \/ ((All X, ((-. (r1 Y X)) \/ (p6 X))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p4 X)) /\ (-. (p5 X))) \/ ((p5 X) /\ (p4 X))))))))))))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p5 Y))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p3 X)) /\ (-. (p4 X))) \/ ((p4 X) /\ (p3 X))))))))))))))) \/ ((All X, ((-. (r1 Y X)) \/ (p4 X))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p2 X)) /\ (-. (p3 X))) \/ ((p3 X) /\ (p2 X))))))))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p3 Y))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p1 X)) /\ (-. (p2 X))) \/ ((p2 X) /\ (p1 X)))))))))))))))))))))))))))))))))))))) (All Y, ((-. (r1 T_2 Y)) \/ (-. (-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p1 X)) /\ (-. (p2 X))) \/ ((p2 X) /\ (p1 X)))))))))))))) (All X, ((-. (r1 T_2 X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p3 X)) /\ (-. (p4 X))) \/ ((p4 X) /\ (p3 X)))))))))))))) (-. (p3 T_3)) ### Or 8 113
% 68.71/68.92 115. (All X, ((-. (r1 T_3 X)) \/ (-. (((-. (p2 X)) /\ (-. (p3 X))) \/ ((p3 X) /\ (p2 X)))))) (-. (p3 T_3)) (All X, ((-. (r1 T_2 X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p3 X)) /\ (-. (p4 X))) \/ ((p4 X) /\ (p3 X)))))))))))))) (All Y, ((-. (r1 T_2 Y)) \/ (-. (-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p1 X)) /\ (-. (p2 X))) \/ ((p2 X) /\ (p1 X)))))))))))))) (All Y, ((-. (r1 T_0 Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p5 X)) /\ (-. (p1 X))) \/ ((p1 X) /\ (p5 X))))))))))))))))))) \/ ((All X, ((-. (r1 Y X)) \/ (p6 X))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p4 X)) /\ (-. (p5 X))) \/ ((p5 X) /\ (p4 X))))))))))))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p5 Y))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p3 X)) /\ (-. (p4 X))) \/ ((p4 X) /\ (p3 X))))))))))))))) \/ ((All X, ((-. (r1 Y X)) \/ (p4 X))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p2 X)) /\ (-. (p3 X))) \/ ((p3 X) /\ (p2 X))))))))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p3 Y))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p1 X)) /\ (-. (p2 X))) \/ ((p2 X) /\ (p1 X)))))))))))))))))))))))))))))))))))))) (r1 T_2 T_3) (r1 T_1 T_2) (r1 T_0 T_1) ### All 114
% 68.71/68.93 116. ((-. (r1 T_3 T_3)) \/ (All X, ((-. (r1 T_3 X)) \/ (-. (((-. (p2 X)) /\ (-. (p3 X))) \/ ((p3 X) /\ (p2 X))))))) (r1 T_0 T_1) (r1 T_1 T_2) (r1 T_2 T_3) (All Y, ((-. (r1 T_0 Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p5 X)) /\ (-. (p1 X))) \/ ((p1 X) /\ (p5 X))))))))))))))))))) \/ ((All X, ((-. (r1 Y X)) \/ (p6 X))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p4 X)) /\ (-. (p5 X))) \/ ((p5 X) /\ (p4 X))))))))))))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p5 Y))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p3 X)) /\ (-. (p4 X))) \/ ((p4 X) /\ (p3 X))))))))))))))) \/ ((All X, ((-. (r1 Y X)) \/ (p4 X))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p2 X)) /\ (-. (p3 X))) \/ ((p3 X) /\ (p2 X))))))))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p3 Y))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p1 X)) /\ (-. (p2 X))) \/ ((p2 X) /\ (p1 X)))))))))))))))))))))))))))))))))))))) (All Y, ((-. (r1 T_2 Y)) \/ (-. (-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p1 X)) /\ (-. (p2 X))) \/ ((p2 X) /\ (p1 X)))))))))))))) (All X, ((-. (r1 T_2 X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p3 X)) /\ (-. (p4 X))) \/ ((p4 X) /\ (p3 X)))))))))))))) (-. (p3 T_3)) ### Or 7 115
% 68.71/68.93 117. (All Y, ((-. (r1 T_3 Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p2 X)) /\ (-. (p3 X))) \/ ((p3 X) /\ (p2 X)))))))) (-. (p3 T_3)) (All X, ((-. (r1 T_2 X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p3 X)) /\ (-. (p4 X))) \/ ((p4 X) /\ (p3 X)))))))))))))) (All Y, ((-. (r1 T_2 Y)) \/ (-. (-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p1 X)) /\ (-. (p2 X))) \/ ((p2 X) /\ (p1 X)))))))))))))) (All Y, ((-. (r1 T_0 Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p5 X)) /\ (-. (p1 X))) \/ ((p1 X) /\ (p5 X))))))))))))))))))) \/ ((All X, ((-. (r1 Y X)) \/ (p6 X))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p4 X)) /\ (-. (p5 X))) \/ ((p5 X) /\ (p4 X))))))))))))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p5 Y))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p3 X)) /\ (-. (p4 X))) \/ ((p4 X) /\ (p3 X))))))))))))))) \/ ((All X, ((-. (r1 Y X)) \/ (p4 X))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p2 X)) /\ (-. (p3 X))) \/ ((p3 X) /\ (p2 X))))))))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p3 Y))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p1 X)) /\ (-. (p2 X))) \/ ((p2 X) /\ (p1 X)))))))))))))))))))))))))))))))))))))) (r1 T_2 T_3) (r1 T_1 T_2) (r1 T_0 T_1) ### All 116
% 68.71/68.93 118. ((-. (r1 T_2 T_3)) \/ (All Y, ((-. (r1 T_3 Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p2 X)) /\ (-. (p3 X))) \/ ((p3 X) /\ (p2 X))))))))) (r1 T_0 T_1) (r1 T_1 T_2) (All Y, ((-. (r1 T_0 Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p5 X)) /\ (-. (p1 X))) \/ ((p1 X) /\ (p5 X))))))))))))))))))) \/ ((All X, ((-. (r1 Y X)) \/ (p6 X))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p4 X)) /\ (-. (p5 X))) \/ ((p5 X) /\ (p4 X))))))))))))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p5 Y))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p3 X)) /\ (-. (p4 X))) \/ ((p4 X) /\ (p3 X))))))))))))))) \/ ((All X, ((-. (r1 Y X)) \/ (p4 X))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p2 X)) /\ (-. (p3 X))) \/ ((p3 X) /\ (p2 X))))))))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p3 Y))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p1 X)) /\ (-. (p2 X))) \/ ((p2 X) /\ (p1 X)))))))))))))))))))))))))))))))))))))) (All Y, ((-. (r1 T_2 Y)) \/ (-. (-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p1 X)) /\ (-. (p2 X))) \/ ((p2 X) /\ (p1 X)))))))))))))) (All X, ((-. (r1 T_2 X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p3 X)) /\ (-. (p4 X))) \/ ((p4 X) /\ (p3 X)))))))))))))) (-. (p3 T_3)) (r1 T_2 T_3) ### Or 6 117
% 68.71/68.93 119. (All X, ((-. (r1 T_2 X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p2 X)) /\ (-. (p3 X))) \/ ((p3 X) /\ (p2 X)))))))))) (r1 T_2 T_3) (-. (p3 T_3)) (All X, ((-. (r1 T_2 X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p3 X)) /\ (-. (p4 X))) \/ ((p4 X) /\ (p3 X)))))))))))))) (All Y, ((-. (r1 T_2 Y)) \/ (-. (-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p1 X)) /\ (-. (p2 X))) \/ ((p2 X) /\ (p1 X)))))))))))))) (All Y, ((-. (r1 T_0 Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p5 X)) /\ (-. (p1 X))) \/ ((p1 X) /\ (p5 X))))))))))))))))))) \/ ((All X, ((-. (r1 Y X)) \/ (p6 X))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p4 X)) /\ (-. (p5 X))) \/ ((p5 X) /\ (p4 X))))))))))))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p5 Y))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p3 X)) /\ (-. (p4 X))) \/ ((p4 X) /\ (p3 X))))))))))))))) \/ ((All X, ((-. (r1 Y X)) \/ (p4 X))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p2 X)) /\ (-. (p3 X))) \/ ((p3 X) /\ (p2 X))))))))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p3 Y))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p1 X)) /\ (-. (p2 X))) \/ ((p2 X) /\ (p1 X)))))))))))))))))))))))))))))))))))))) (r1 T_1 T_2) (r1 T_0 T_1) ### All 118
% 68.71/68.93 120. ((-. (r1 T_2 T_2)) \/ (All X, ((-. (r1 T_2 X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p2 X)) /\ (-. (p3 X))) \/ ((p3 X) /\ (p2 X))))))))))) (r1 T_0 T_1) (r1 T_1 T_2) (All Y, ((-. (r1 T_0 Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p5 X)) /\ (-. (p1 X))) \/ ((p1 X) /\ (p5 X))))))))))))))))))) \/ ((All X, ((-. (r1 Y X)) \/ (p6 X))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p4 X)) /\ (-. (p5 X))) \/ ((p5 X) /\ (p4 X))))))))))))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p5 Y))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p3 X)) /\ (-. (p4 X))) \/ ((p4 X) /\ (p3 X))))))))))))))) \/ ((All X, ((-. (r1 Y X)) \/ (p4 X))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p2 X)) /\ (-. (p3 X))) \/ ((p3 X) /\ (p2 X))))))))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p3 Y))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p1 X)) /\ (-. (p2 X))) \/ ((p2 X) /\ (p1 X)))))))))))))))))))))))))))))))))))))) (All Y, ((-. (r1 T_2 Y)) \/ (-. (-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p1 X)) /\ (-. (p2 X))) \/ ((p2 X) /\ (p1 X)))))))))))))) (All X, ((-. (r1 T_2 X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p3 X)) /\ (-. (p4 X))) \/ ((p4 X) /\ (p3 X)))))))))))))) (-. (p3 T_3)) (r1 T_2 T_3) ### Or 5 119
% 68.71/68.93 121. (All Y, ((-. (r1 T_2 Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p2 X)) /\ (-. (p3 X))) \/ ((p3 X) /\ (p2 X)))))))))))) (r1 T_2 T_3) (-. (p3 T_3)) (All X, ((-. (r1 T_2 X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p3 X)) /\ (-. (p4 X))) \/ ((p4 X) /\ (p3 X)))))))))))))) (All Y, ((-. (r1 T_2 Y)) \/ (-. (-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p1 X)) /\ (-. (p2 X))) \/ ((p2 X) /\ (p1 X)))))))))))))) (All Y, ((-. (r1 T_0 Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p5 X)) /\ (-. (p1 X))) \/ ((p1 X) /\ (p5 X))))))))))))))))))) \/ ((All X, ((-. (r1 Y X)) \/ (p6 X))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p4 X)) /\ (-. (p5 X))) \/ ((p5 X) /\ (p4 X))))))))))))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p5 Y))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p3 X)) /\ (-. (p4 X))) \/ ((p4 X) /\ (p3 X))))))))))))))) \/ ((All X, ((-. (r1 Y X)) \/ (p4 X))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p2 X)) /\ (-. (p3 X))) \/ ((p3 X) /\ (p2 X))))))))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p3 Y))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p1 X)) /\ (-. (p2 X))) \/ ((p2 X) /\ (p1 X)))))))))))))))))))))))))))))))))))))) (r1 T_1 T_2) (r1 T_0 T_1) ### All 120
% 68.71/68.93 122. (-. (-. (r1 T_2 T_3))) (r1 T_0 T_1) (r1 T_1 T_2) (All Y, ((-. (r1 T_0 Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p5 X)) /\ (-. (p1 X))) \/ ((p1 X) /\ (p5 X))))))))))))))))))) \/ ((All X, ((-. (r1 Y X)) \/ (p6 X))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p4 X)) /\ (-. (p5 X))) \/ ((p5 X) /\ (p4 X))))))))))))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p5 Y))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p3 X)) /\ (-. (p4 X))) \/ ((p4 X) /\ (p3 X))))))))))))))) \/ ((All X, ((-. (r1 Y X)) \/ (p4 X))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p2 X)) /\ (-. (p3 X))) \/ ((p3 X) /\ (p2 X))))))))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p3 Y))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p1 X)) /\ (-. (p2 X))) \/ ((p2 X) /\ (p1 X)))))))))))))))))))))))))))))))))))))) (All Y, ((-. (r1 T_2 Y)) \/ (-. (-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p1 X)) /\ (-. (p2 X))) \/ ((p2 X) /\ (p1 X)))))))))))))) (All X, ((-. (r1 T_2 X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p3 X)) /\ (-. (p4 X))) \/ ((p4 X) /\ (p3 X)))))))))))))) (-. (p3 T_3)) (All Y, ((-. (r1 T_2 Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p2 X)) /\ (-. (p3 X))) \/ ((p3 X) /\ (p2 X)))))))))))) ### NotNot 121
% 68.71/68.93 123. (-. ((-. (r1 T_2 T_3)) \/ (p3 T_3))) (All Y, ((-. (r1 T_2 Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p2 X)) /\ (-. (p3 X))) \/ ((p3 X) /\ (p2 X)))))))))))) (All X, ((-. (r1 T_2 X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p3 X)) /\ (-. (p4 X))) \/ ((p4 X) /\ (p3 X)))))))))))))) (All Y, ((-. (r1 T_2 Y)) \/ (-. (-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p1 X)) /\ (-. (p2 X))) \/ ((p2 X) /\ (p1 X)))))))))))))) (All Y, ((-. (r1 T_0 Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p5 X)) /\ (-. (p1 X))) \/ ((p1 X) /\ (p5 X))))))))))))))))))) \/ ((All X, ((-. (r1 Y X)) \/ (p6 X))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p4 X)) /\ (-. (p5 X))) \/ ((p5 X) /\ (p4 X))))))))))))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p5 Y))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p3 X)) /\ (-. (p4 X))) \/ ((p4 X) /\ (p3 X))))))))))))))) \/ ((All X, ((-. (r1 Y X)) \/ (p4 X))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p2 X)) /\ (-. (p3 X))) \/ ((p3 X) /\ (p2 X))))))))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p3 Y))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p1 X)) /\ (-. (p2 X))) \/ ((p2 X) /\ (p1 X)))))))))))))))))))))))))))))))))))))) (r1 T_1 T_2) (r1 T_0 T_1) ### NotOr 122
% 68.71/68.93 124. (-. (All Y, ((-. (r1 T_2 Y)) \/ (p3 Y)))) (r1 T_0 T_1) (r1 T_1 T_2) (All Y, ((-. (r1 T_0 Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p5 X)) /\ (-. (p1 X))) \/ ((p1 X) /\ (p5 X))))))))))))))))))) \/ ((All X, ((-. (r1 Y X)) \/ (p6 X))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p4 X)) /\ (-. (p5 X))) \/ ((p5 X) /\ (p4 X))))))))))))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p5 Y))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p3 X)) /\ (-. (p4 X))) \/ ((p4 X) /\ (p3 X))))))))))))))) \/ ((All X, ((-. (r1 Y X)) \/ (p4 X))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p2 X)) /\ (-. (p3 X))) \/ ((p3 X) /\ (p2 X))))))))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p3 Y))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p1 X)) /\ (-. (p2 X))) \/ ((p2 X) /\ (p1 X)))))))))))))))))))))))))))))))))))))) (All Y, ((-. (r1 T_2 Y)) \/ (-. (-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p1 X)) /\ (-. (p2 X))) \/ ((p2 X) /\ (p1 X)))))))))))))) (All X, ((-. (r1 T_2 X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p3 X)) /\ (-. (p4 X))) \/ ((p4 X) /\ (p3 X)))))))))))))) (All Y, ((-. (r1 T_2 Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p2 X)) /\ (-. (p3 X))) \/ ((p3 X) /\ (p2 X)))))))))))) ### NotAllEx 123
% 68.71/68.93 125. (-. ((-. (All Y, ((-. (r1 T_2 Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p2 X)) /\ (-. (p3 X))) \/ ((p3 X) /\ (p2 X))))))))))))) \/ ((All Y, ((-. (r1 T_2 Y)) \/ (p3 Y))) \/ (-. (All Y, ((-. (r1 T_2 Y)) \/ (-. (-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p1 X)) /\ (-. (p2 X))) \/ ((p2 X) /\ (p1 X)))))))))))))))))) (All X, ((-. (r1 T_2 X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p3 X)) /\ (-. (p4 X))) \/ ((p4 X) /\ (p3 X)))))))))))))) (All Y, ((-. (r1 T_0 Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p5 X)) /\ (-. (p1 X))) \/ ((p1 X) /\ (p5 X))))))))))))))))))) \/ ((All X, ((-. (r1 Y X)) \/ (p6 X))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p4 X)) /\ (-. (p5 X))) \/ ((p5 X) /\ (p4 X))))))))))))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p5 Y))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p3 X)) /\ (-. (p4 X))) \/ ((p4 X) /\ (p3 X))))))))))))))) \/ ((All X, ((-. (r1 Y X)) \/ (p4 X))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p2 X)) /\ (-. (p3 X))) \/ ((p3 X) /\ (p2 X))))))))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p3 Y))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p1 X)) /\ (-. (p2 X))) \/ ((p2 X) /\ (p1 X)))))))))))))))))))))))))))))))))))))) (r1 T_1 T_2) (r1 T_0 T_1) ### ConjTree 124
% 68.71/68.93 126. ((-. (r1 T_2 T_2)) \/ (-. ((-. (All Y, ((-. (r1 T_2 Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p2 X)) /\ (-. (p3 X))) \/ ((p3 X) /\ (p2 X))))))))))))) \/ ((All Y, ((-. (r1 T_2 Y)) \/ (p3 Y))) \/ (-. (All Y, ((-. (r1 T_2 Y)) \/ (-. (-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p1 X)) /\ (-. (p2 X))) \/ ((p2 X) /\ (p1 X))))))))))))))))))) (r1 T_0 T_1) (r1 T_1 T_2) (All Y, ((-. (r1 T_0 Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p5 X)) /\ (-. (p1 X))) \/ ((p1 X) /\ (p5 X))))))))))))))))))) \/ ((All X, ((-. (r1 Y X)) \/ (p6 X))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p4 X)) /\ (-. (p5 X))) \/ ((p5 X) /\ (p4 X))))))))))))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p5 Y))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p3 X)) /\ (-. (p4 X))) \/ ((p4 X) /\ (p3 X))))))))))))))) \/ ((All X, ((-. (r1 Y X)) \/ (p4 X))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p2 X)) /\ (-. (p3 X))) \/ ((p3 X) /\ (p2 X))))))))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p3 Y))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p1 X)) /\ (-. (p2 X))) \/ ((p2 X) /\ (p1 X)))))))))))))))))))))))))))))))))))))) (All X, ((-. (r1 T_2 X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p3 X)) /\ (-. (p4 X))) \/ ((p4 X) /\ (p3 X)))))))))))))) ### Or 4 125
% 68.71/68.93 127. (All X, ((-. (r1 T_2 X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p2 X)) /\ (-. (p3 X))) \/ ((p3 X) /\ (p2 X))))))))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p3 Y))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p1 X)) /\ (-. (p2 X))) \/ ((p2 X) /\ (p1 X)))))))))))))))))))) (All X, ((-. (r1 T_2 X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p3 X)) /\ (-. (p4 X))) \/ ((p4 X) /\ (p3 X)))))))))))))) (All Y, ((-. (r1 T_0 Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p5 X)) /\ (-. (p1 X))) \/ ((p1 X) /\ (p5 X))))))))))))))))))) \/ ((All X, ((-. (r1 Y X)) \/ (p6 X))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p4 X)) /\ (-. (p5 X))) \/ ((p5 X) /\ (p4 X))))))))))))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p5 Y))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p3 X)) /\ (-. (p4 X))) \/ ((p4 X) /\ (p3 X))))))))))))))) \/ ((All X, ((-. (r1 Y X)) \/ (p4 X))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p2 X)) /\ (-. (p3 X))) \/ ((p3 X) /\ (p2 X))))))))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p3 Y))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p1 X)) /\ (-. (p2 X))) \/ ((p2 X) /\ (p1 X)))))))))))))))))))))))))))))))))))))) (r1 T_1 T_2) (r1 T_0 T_1) ### All 126
% 68.71/68.93 128. (-. ((-. (All X, ((-. (r1 T_2 X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p3 X)) /\ (-. (p4 X))) \/ ((p4 X) /\ (p3 X))))))))))))))) \/ ((All X, ((-. (r1 T_2 X)) \/ (p4 X))) \/ (-. (All X, ((-. (r1 T_2 X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p2 X)) /\ (-. (p3 X))) \/ ((p3 X) /\ (p2 X))))))))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p3 Y))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p1 X)) /\ (-. (p2 X))) \/ ((p2 X) /\ (p1 X)))))))))))))))))))))))) (r1 T_0 T_1) (r1 T_1 T_2) (All Y, ((-. (r1 T_0 Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p5 X)) /\ (-. (p1 X))) \/ ((p1 X) /\ (p5 X))))))))))))))))))) \/ ((All X, ((-. (r1 Y X)) \/ (p6 X))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p4 X)) /\ (-. (p5 X))) \/ ((p5 X) /\ (p4 X))))))))))))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p5 Y))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p3 X)) /\ (-. (p4 X))) \/ ((p4 X) /\ (p3 X))))))))))))))) \/ ((All X, ((-. (r1 Y X)) \/ (p4 X))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p2 X)) /\ (-. (p3 X))) \/ ((p3 X) /\ (p2 X))))))))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p3 Y))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p1 X)) /\ (-. (p2 X))) \/ ((p2 X) /\ (p1 X)))))))))))))))))))))))))))))))))))))) ### ConjTree 127
% 68.71/68.93 129. ((-. (r1 T_1 T_2)) \/ (-. ((-. (All X, ((-. (r1 T_2 X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p3 X)) /\ (-. (p4 X))) \/ ((p4 X) /\ (p3 X))))))))))))))) \/ ((All X, ((-. (r1 T_2 X)) \/ (p4 X))) \/ (-. (All X, ((-. (r1 T_2 X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p2 X)) /\ (-. (p3 X))) \/ ((p3 X) /\ (p2 X))))))))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p3 Y))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p1 X)) /\ (-. (p2 X))) \/ ((p2 X) /\ (p1 X))))))))))))))))))))))))) (All Y, ((-. (r1 T_0 Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p5 X)) /\ (-. (p1 X))) \/ ((p1 X) /\ (p5 X))))))))))))))))))) \/ ((All X, ((-. (r1 Y X)) \/ (p6 X))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p4 X)) /\ (-. (p5 X))) \/ ((p5 X) /\ (p4 X))))))))))))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p5 Y))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p3 X)) /\ (-. (p4 X))) \/ ((p4 X) /\ (p3 X))))))))))))))) \/ ((All X, ((-. (r1 Y X)) \/ (p4 X))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p2 X)) /\ (-. (p3 X))) \/ ((p3 X) /\ (p2 X))))))))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p3 Y))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p1 X)) /\ (-. (p2 X))) \/ ((p2 X) /\ (p1 X)))))))))))))))))))))))))))))))))))))) (r1 T_0 T_1) (r1 T_1 T_2) ### Or 3 128
% 68.71/68.93 130. (All Y, ((-. (r1 T_1 Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p3 X)) /\ (-. (p4 X))) \/ ((p4 X) /\ (p3 X))))))))))))))) \/ ((All X, ((-. (r1 Y X)) \/ (p4 X))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p2 X)) /\ (-. (p3 X))) \/ ((p3 X) /\ (p2 X))))))))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p3 Y))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p1 X)) /\ (-. (p2 X))) \/ ((p2 X) /\ (p1 X)))))))))))))))))))))))))) (r1 T_1 T_2) (r1 T_0 T_1) (All Y, ((-. (r1 T_0 Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p5 X)) /\ (-. (p1 X))) \/ ((p1 X) /\ (p5 X))))))))))))))))))) \/ ((All X, ((-. (r1 Y X)) \/ (p6 X))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p4 X)) /\ (-. (p5 X))) \/ ((p5 X) /\ (p4 X))))))))))))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p5 Y))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p3 X)) /\ (-. (p4 X))) \/ ((p4 X) /\ (p3 X))))))))))))))) \/ ((All X, ((-. (r1 Y X)) \/ (p4 X))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p2 X)) /\ (-. (p3 X))) \/ ((p3 X) /\ (p2 X))))))))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p3 Y))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p1 X)) /\ (-. (p2 X))) \/ ((p2 X) /\ (p1 X)))))))))))))))))))))))))))))))))))))) ### All 129
% 68.71/68.93 131. (-. ((-. (All Y, ((-. (r1 T_1 Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p4 X)) /\ (-. (p5 X))) \/ ((p5 X) /\ (p4 X))))))))))))))))) \/ ((All Y, ((-. (r1 T_1 Y)) \/ (p5 Y))) \/ (-. (All Y, ((-. (r1 T_1 Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p3 X)) /\ (-. (p4 X))) \/ ((p4 X) /\ (p3 X))))))))))))))) \/ ((All X, ((-. (r1 Y X)) \/ (p4 X))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p2 X)) /\ (-. (p3 X))) \/ ((p3 X) /\ (p2 X))))))))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p3 Y))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p1 X)) /\ (-. (p2 X))) \/ ((p2 X) /\ (p1 X)))))))))))))))))))))))))))))) (All Y, ((-. (r1 T_0 Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p5 X)) /\ (-. (p1 X))) \/ ((p1 X) /\ (p5 X))))))))))))))))))) \/ ((All X, ((-. (r1 Y X)) \/ (p6 X))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p4 X)) /\ (-. (p5 X))) \/ ((p5 X) /\ (p4 X))))))))))))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p5 Y))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p3 X)) /\ (-. (p4 X))) \/ ((p4 X) /\ (p3 X))))))))))))))) \/ ((All X, ((-. (r1 Y X)) \/ (p4 X))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p2 X)) /\ (-. (p3 X))) \/ ((p3 X) /\ (p2 X))))))))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p3 Y))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p1 X)) /\ (-. (p2 X))) \/ ((p2 X) /\ (p1 X)))))))))))))))))))))))))))))))))))))) (r1 T_0 T_1) (r1 T_1 T_2) ### ConjTree 130
% 68.71/68.93 132. ((-. (r1 T_1 T_1)) \/ (-. ((-. (All Y, ((-. (r1 T_1 Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p4 X)) /\ (-. (p5 X))) \/ ((p5 X) /\ (p4 X))))))))))))))))) \/ ((All Y, ((-. (r1 T_1 Y)) \/ (p5 Y))) \/ (-. (All Y, ((-. (r1 T_1 Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p3 X)) /\ (-. (p4 X))) \/ ((p4 X) /\ (p3 X))))))))))))))) \/ ((All X, ((-. (r1 Y X)) \/ (p4 X))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p2 X)) /\ (-. (p3 X))) \/ ((p3 X) /\ (p2 X))))))))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p3 Y))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p1 X)) /\ (-. (p2 X))) \/ ((p2 X) /\ (p1 X))))))))))))))))))))))))))))))) (r1 T_1 T_2) (r1 T_0 T_1) (All Y, ((-. (r1 T_0 Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p5 X)) /\ (-. (p1 X))) \/ ((p1 X) /\ (p5 X))))))))))))))))))) \/ ((All X, ((-. (r1 Y X)) \/ (p6 X))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p4 X)) /\ (-. (p5 X))) \/ ((p5 X) /\ (p4 X))))))))))))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p5 Y))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p3 X)) /\ (-. (p4 X))) \/ ((p4 X) /\ (p3 X))))))))))))))) \/ ((All X, ((-. (r1 Y X)) \/ (p4 X))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p2 X)) /\ (-. (p3 X))) \/ ((p3 X) /\ (p2 X))))))))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p3 Y))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p1 X)) /\ (-. (p2 X))) \/ ((p2 X) /\ (p1 X)))))))))))))))))))))))))))))))))))))) ### Or 2 131
% 68.71/68.93 133. (All X, ((-. (r1 T_1 X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p4 X)) /\ (-. (p5 X))) \/ ((p5 X) /\ (p4 X))))))))))))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p5 Y))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p3 X)) /\ (-. (p4 X))) \/ ((p4 X) /\ (p3 X))))))))))))))) \/ ((All X, ((-. (r1 Y X)) \/ (p4 X))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p2 X)) /\ (-. (p3 X))) \/ ((p3 X) /\ (p2 X))))))))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p3 Y))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p1 X)) /\ (-. (p2 X))) \/ ((p2 X) /\ (p1 X)))))))))))))))))))))))))))))))) (All Y, ((-. (r1 T_0 Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p5 X)) /\ (-. (p1 X))) \/ ((p1 X) /\ (p5 X))))))))))))))))))) \/ ((All X, ((-. (r1 Y X)) \/ (p6 X))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p4 X)) /\ (-. (p5 X))) \/ ((p5 X) /\ (p4 X))))))))))))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p5 Y))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p3 X)) /\ (-. (p4 X))) \/ ((p4 X) /\ (p3 X))))))))))))))) \/ ((All X, ((-. (r1 Y X)) \/ (p4 X))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p2 X)) /\ (-. (p3 X))) \/ ((p3 X) /\ (p2 X))))))))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p3 Y))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p1 X)) /\ (-. (p2 X))) \/ ((p2 X) /\ (p1 X)))))))))))))))))))))))))))))))))))))) (r1 T_0 T_1) (r1 T_1 T_2) ### All 132
% 68.71/68.93 134. (-. ((-. (All X, ((-. (r1 T_1 X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p5 X)) /\ (-. (p1 X))) \/ ((p1 X) /\ (p5 X))))))))))))))))))) \/ ((All X, ((-. (r1 T_1 X)) \/ (p6 X))) \/ (-. (All X, ((-. (r1 T_1 X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p4 X)) /\ (-. (p5 X))) \/ ((p5 X) /\ (p4 X))))))))))))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p5 Y))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p3 X)) /\ (-. (p4 X))) \/ ((p4 X) /\ (p3 X))))))))))))))) \/ ((All X, ((-. (r1 Y X)) \/ (p4 X))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p2 X)) /\ (-. (p3 X))) \/ ((p3 X) /\ (p2 X))))))))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p3 Y))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p1 X)) /\ (-. (p2 X))) \/ ((p2 X) /\ (p1 X)))))))))))))))))))))))))))))))))))) (r1 T_1 T_2) (r1 T_0 T_1) (All Y, ((-. (r1 T_0 Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p5 X)) /\ (-. (p1 X))) \/ ((p1 X) /\ (p5 X))))))))))))))))))) \/ ((All X, ((-. (r1 Y X)) \/ (p6 X))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p4 X)) /\ (-. (p5 X))) \/ ((p5 X) /\ (p4 X))))))))))))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p5 Y))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p3 X)) /\ (-. (p4 X))) \/ ((p4 X) /\ (p3 X))))))))))))))) \/ ((All X, ((-. (r1 Y X)) \/ (p4 X))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p2 X)) /\ (-. (p3 X))) \/ ((p3 X) /\ (p2 X))))))))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p3 Y))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p1 X)) /\ (-. (p2 X))) \/ ((p2 X) /\ (p1 X)))))))))))))))))))))))))))))))))))))) ### ConjTree 133
% 68.71/68.95 135. ((-. (r1 T_0 T_1)) \/ (-. ((-. (All X, ((-. (r1 T_1 X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p5 X)) /\ (-. (p1 X))) \/ ((p1 X) /\ (p5 X))))))))))))))))))) \/ ((All X, ((-. (r1 T_1 X)) \/ (p6 X))) \/ (-. (All X, ((-. (r1 T_1 X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p4 X)) /\ (-. (p5 X))) \/ ((p5 X) /\ (p4 X))))))))))))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p5 Y))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p3 X)) /\ (-. (p4 X))) \/ ((p4 X) /\ (p3 X))))))))))))))) \/ ((All X, ((-. (r1 Y X)) \/ (p4 X))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p2 X)) /\ (-. (p3 X))) \/ ((p3 X) /\ (p2 X))))))))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p3 Y))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p1 X)) /\ (-. (p2 X))) \/ ((p2 X) /\ (p1 X))))))))))))))))))))))))))))))))))))) (All Y, ((-. (r1 T_0 Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p5 X)) /\ (-. (p1 X))) \/ ((p1 X) /\ (p5 X))))))))))))))))))) \/ ((All X, ((-. (r1 Y X)) \/ (p6 X))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p4 X)) /\ (-. (p5 X))) \/ ((p5 X) /\ (p4 X))))))))))))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p5 Y))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p3 X)) /\ (-. (p4 X))) \/ ((p4 X) /\ (p3 X))))))))))))))) \/ ((All X, ((-. (r1 Y X)) \/ (p4 X))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p2 X)) /\ (-. (p3 X))) \/ ((p3 X) /\ (p2 X))))))))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p3 Y))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p1 X)) /\ (-. (p2 X))) \/ ((p2 X) /\ (p1 X)))))))))))))))))))))))))))))))))))))) (r1 T_1 T_2) (r1 T_0 T_1) ### Or 1 134
% 68.71/68.95 136. (r1 T_0 T_1) (r1 T_1 T_2) (All Y, ((-. (r1 T_0 Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p5 X)) /\ (-. (p1 X))) \/ ((p1 X) /\ (p5 X))))))))))))))))))) \/ ((All X, ((-. (r1 Y X)) \/ (p6 X))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p4 X)) /\ (-. (p5 X))) \/ ((p5 X) /\ (p4 X))))))))))))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p5 Y))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p3 X)) /\ (-. (p4 X))) \/ ((p4 X) /\ (p3 X))))))))))))))) \/ ((All X, ((-. (r1 Y X)) \/ (p4 X))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p2 X)) /\ (-. (p3 X))) \/ ((p3 X) /\ (p2 X))))))))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p3 Y))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p1 X)) /\ (-. (p2 X))) \/ ((p2 X) /\ (p1 X)))))))))))))))))))))))))))))))))))))) ### All 135
% 68.71/68.95 137. (-. (-. (r1 T_1 T_2))) (All Y, ((-. (r1 T_0 Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p5 X)) /\ (-. (p1 X))) \/ ((p1 X) /\ (p5 X))))))))))))))))))) \/ ((All X, ((-. (r1 Y X)) \/ (p6 X))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p4 X)) /\ (-. (p5 X))) \/ ((p5 X) /\ (p4 X))))))))))))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p5 Y))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p3 X)) /\ (-. (p4 X))) \/ ((p4 X) /\ (p3 X))))))))))))))) \/ ((All X, ((-. (r1 Y X)) \/ (p4 X))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p2 X)) /\ (-. (p3 X))) \/ ((p3 X) /\ (p2 X))))))))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p3 Y))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p1 X)) /\ (-. (p2 X))) \/ ((p2 X) /\ (p1 X)))))))))))))))))))))))))))))))))))))) (r1 T_0 T_1) ### NotNot 136
% 68.71/68.95 138. (-. ((-. (r1 T_1 T_2)) \/ (All Y, ((-. (r1 T_2 Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ ((p6 X) /\ ((p5 X) /\ ((p4 X) /\ ((p3 X) /\ ((p2 X) /\ (p1 X)))))))))))))))) (r1 T_0 T_1) (All Y, ((-. (r1 T_0 Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p5 X)) /\ (-. (p1 X))) \/ ((p1 X) /\ (p5 X))))))))))))))))))) \/ ((All X, ((-. (r1 Y X)) \/ (p6 X))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p4 X)) /\ (-. (p5 X))) \/ ((p5 X) /\ (p4 X))))))))))))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p5 Y))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p3 X)) /\ (-. (p4 X))) \/ ((p4 X) /\ (p3 X))))))))))))))) \/ ((All X, ((-. (r1 Y X)) \/ (p4 X))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p2 X)) /\ (-. (p3 X))) \/ ((p3 X) /\ (p2 X))))))))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p3 Y))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p1 X)) /\ (-. (p2 X))) \/ ((p2 X) /\ (p1 X)))))))))))))))))))))))))))))))))))))) ### NotOr 137
% 68.71/68.95 139. (-. (All X, ((-. (r1 T_1 X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ ((p6 X) /\ ((p5 X) /\ ((p4 X) /\ ((p3 X) /\ ((p2 X) /\ (p1 X))))))))))))))))) (All Y, ((-. (r1 T_0 Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p5 X)) /\ (-. (p1 X))) \/ ((p1 X) /\ (p5 X))))))))))))))))))) \/ ((All X, ((-. (r1 Y X)) \/ (p6 X))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p4 X)) /\ (-. (p5 X))) \/ ((p5 X) /\ (p4 X))))))))))))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p5 Y))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p3 X)) /\ (-. (p4 X))) \/ ((p4 X) /\ (p3 X))))))))))))))) \/ ((All X, ((-. (r1 Y X)) \/ (p4 X))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p2 X)) /\ (-. (p3 X))) \/ ((p3 X) /\ (p2 X))))))))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p3 Y))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p1 X)) /\ (-. (p2 X))) \/ ((p2 X) /\ (p1 X)))))))))))))))))))))))))))))))))))))) (r1 T_0 T_1) ### NotAllEx 138
% 68.71/68.95 140. (-. (-. (r1 T_0 T_1))) (All Y, ((-. (r1 T_0 Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p5 X)) /\ (-. (p1 X))) \/ ((p1 X) /\ (p5 X))))))))))))))))))) \/ ((All X, ((-. (r1 Y X)) \/ (p6 X))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p4 X)) /\ (-. (p5 X))) \/ ((p5 X) /\ (p4 X))))))))))))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p5 Y))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p3 X)) /\ (-. (p4 X))) \/ ((p4 X) /\ (p3 X))))))))))))))) \/ ((All X, ((-. (r1 Y X)) \/ (p4 X))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p2 X)) /\ (-. (p3 X))) \/ ((p3 X) /\ (p2 X))))))))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p3 Y))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p1 X)) /\ (-. (p2 X))) \/ ((p2 X) /\ (p1 X)))))))))))))))))))))))))))))))))))))) (-. (All X, ((-. (r1 T_1 X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ ((p6 X) /\ ((p5 X) /\ ((p4 X) /\ ((p3 X) /\ ((p2 X) /\ (p1 X))))))))))))))))) ### NotNot 139
% 68.71/68.95 141. (-. ((-. (r1 T_0 T_1)) \/ (All X, ((-. (r1 T_1 X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ ((p6 X) /\ ((p5 X) /\ ((p4 X) /\ ((p3 X) /\ ((p2 X) /\ (p1 X)))))))))))))))))) (All Y, ((-. (r1 T_0 Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p5 X)) /\ (-. (p1 X))) \/ ((p1 X) /\ (p5 X))))))))))))))))))) \/ ((All X, ((-. (r1 Y X)) \/ (p6 X))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p4 X)) /\ (-. (p5 X))) \/ ((p5 X) /\ (p4 X))))))))))))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p5 Y))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p3 X)) /\ (-. (p4 X))) \/ ((p4 X) /\ (p3 X))))))))))))))) \/ ((All X, ((-. (r1 Y X)) \/ (p4 X))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p2 X)) /\ (-. (p3 X))) \/ ((p3 X) /\ (p2 X))))))))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p3 Y))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p1 X)) /\ (-. (p2 X))) \/ ((p2 X) /\ (p1 X)))))))))))))))))))))))))))))))))))))) ### NotOr 140
% 68.71/68.95 142. (-. (All Y, ((-. (r1 T_0 Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ ((p6 X) /\ ((p5 X) /\ ((p4 X) /\ ((p3 X) /\ ((p2 X) /\ (p1 X))))))))))))))))))) (All Y, ((-. (r1 T_0 Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p5 X)) /\ (-. (p1 X))) \/ ((p1 X) /\ (p5 X))))))))))))))))))) \/ ((All X, ((-. (r1 Y X)) \/ (p6 X))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p4 X)) /\ (-. (p5 X))) \/ ((p5 X) /\ (p4 X))))))))))))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p5 Y))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p3 X)) /\ (-. (p4 X))) \/ ((p4 X) /\ (p3 X))))))))))))))) \/ ((All X, ((-. (r1 Y X)) \/ (p4 X))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p2 X)) /\ (-. (p3 X))) \/ ((p3 X) /\ (p2 X))))))))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p3 Y))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p1 X)) /\ (-. (p2 X))) \/ ((p2 X) /\ (p1 X)))))))))))))))))))))))))))))))))))))) ### NotAllEx 141
% 68.71/68.95 143. (-. ((All Y, ((-. (r1 T_0 Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ ((-. (p12 X)) /\ ((-. (p10 X)) /\ ((-. (p8 X)) /\ ((-. (p6 X)) /\ ((-. (p4 X)) /\ (-. (p2 X))))))))))))))))))) \/ ((All Y, ((-. (r1 T_0 Y)) \/ (p7 Y))) \/ ((-. (All Y, ((-. (r1 T_0 Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p5 X)) /\ (-. (p1 X))) \/ ((p1 X) /\ (p5 X))))))))))))))))))) \/ ((All X, ((-. (r1 Y X)) \/ (p6 X))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p4 X)) /\ (-. (p5 X))) \/ ((p5 X) /\ (p4 X))))))))))))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p5 Y))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p3 X)) /\ (-. (p4 X))) \/ ((p4 X) /\ (p3 X))))))))))))))) \/ ((All X, ((-. (r1 Y X)) \/ (p4 X))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p2 X)) /\ (-. (p3 X))) \/ ((p3 X) /\ (p2 X))))))))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p3 Y))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p1 X)) /\ (-. (p2 X))) \/ ((p2 X) /\ (p1 X))))))))))))))))))))))))))))))))))))))) \/ (All Y, ((-. (r1 T_0 Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ ((p6 X) /\ ((p5 X) /\ ((p4 X) /\ ((p3 X) /\ ((p2 X) /\ (p1 X)))))))))))))))))))))) ### ConjTree 142
% 68.71/68.95 144. (Ex X, (-. ((All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ ((-. (p12 X)) /\ ((-. (p10 X)) /\ ((-. (p8 X)) /\ ((-. (p6 X)) /\ ((-. (p4 X)) /\ (-. (p2 X))))))))))))))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p7 Y))) \/ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p5 X)) /\ (-. (p1 X))) \/ ((p1 X) /\ (p5 X))))))))))))))))))) \/ ((All X, ((-. (r1 Y X)) \/ (p6 X))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p4 X)) /\ (-. (p5 X))) \/ ((p5 X) /\ (p4 X))))))))))))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p5 Y))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p3 X)) /\ (-. (p4 X))) \/ ((p4 X) /\ (p3 X))))))))))))))) \/ ((All X, ((-. (r1 Y X)) \/ (p4 X))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p2 X)) /\ (-. (p3 X))) \/ ((p3 X) /\ (p2 X))))))))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p3 Y))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p1 X)) /\ (-. (p2 X))) \/ ((p2 X) /\ (p1 X))))))))))))))))))))))))))))))))))))))) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ ((p6 X) /\ ((p5 X) /\ ((p4 X) /\ ((p3 X) /\ ((p2 X) /\ (p1 X))))))))))))))))))))))) ### Exists 143
% 68.71/68.95 145. (-. (-. (Ex X, (-. ((All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ ((-. (p12 X)) /\ ((-. (p10 X)) /\ ((-. (p8 X)) /\ ((-. (p6 X)) /\ ((-. (p4 X)) /\ (-. (p2 X))))))))))))))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p7 Y))) \/ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p5 X)) /\ (-. (p1 X))) \/ ((p1 X) /\ (p5 X))))))))))))))))))) \/ ((All X, ((-. (r1 Y X)) \/ (p6 X))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p4 X)) /\ (-. (p5 X))) \/ ((p5 X) /\ (p4 X))))))))))))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p5 Y))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p3 X)) /\ (-. (p4 X))) \/ ((p4 X) /\ (p3 X))))))))))))))) \/ ((All X, ((-. (r1 Y X)) \/ (p4 X))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p2 X)) /\ (-. (p3 X))) \/ ((p3 X) /\ (p2 X))))))))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p3 Y))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p1 X)) /\ (-. (p2 X))) \/ ((p2 X) /\ (p1 X))))))))))))))))))))))))))))))))))))))) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ ((p6 X) /\ ((p5 X) /\ ((p4 X) /\ ((p3 X) /\ ((p2 X) /\ (p1 X))))))))))))))))))))))))) ### NotNot 144
% 68.71/68.95 % SZS output end Proof
% 68.71/68.95 (* END-PROOF *)
%------------------------------------------------------------------------------