TSTP Solution File: LCL640+1.015 by SuperZenon---0.0.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SuperZenon---0.0.1
% Problem : LCL640+1.015 : 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 : n019.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 14:52:10 EDT 2022
% Result : Theorem 6.83s 7.00s
% Output : Proof 6.96s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LCL640+1.015 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s
% 0.13/0.32 % Computer : n019.cluster.edu
% 0.13/0.32 % Model : x86_64 x86_64
% 0.13/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.32 % Memory : 8042.1875MB
% 0.13/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.32 % CPULimit : 300
% 0.13/0.32 % WCLimit : 600
% 0.13/0.32 % DateTime : Mon Jul 4 15:12:08 EDT 2022
% 0.13/0.32 % CPUTime :
% 6.83/7.00 % SZS status Theorem
% 6.83/7.00 (* PROOF-FOUND *)
% 6.83/7.00 (* BEGIN-PROOF *)
% 6.83/7.00 % SZS output start Proof
% 6.83/7.00 1. (r1 T_0 T_1) (-. (r1 T_0 T_1)) ### Axiom
% 6.83/7.00 2. (r1 T_1 T_2) (-. (r1 T_1 T_2)) ### Axiom
% 6.83/7.00 3. (r1 T_2 T_3) (-. (r1 T_2 T_3)) ### Axiom
% 6.83/7.00 4. (r1 T_3 T_4) (-. (r1 T_3 T_4)) ### Axiom
% 6.83/7.00 5. (r1 T_4 T_5) (-. (r1 T_4 T_5)) ### Axiom
% 6.83/7.00 6. (r1 T_5 T_6) (-. (r1 T_5 T_6)) ### Axiom
% 6.83/7.00 7. (r1 T_6 T_7) (-. (r1 T_6 T_7)) ### Axiom
% 6.83/7.00 8. (r1 T_7 T_8) (-. (r1 T_7 T_8)) ### Axiom
% 6.83/7.00 9. (r1 T_0 T_1) (-. (r1 T_0 T_1)) ### Axiom
% 6.83/7.00 10. (r1 T_1 T_2) (-. (r1 T_1 T_2)) ### Axiom
% 6.83/7.00 11. (r1 T_2 T_3) (-. (r1 T_2 T_3)) ### Axiom
% 6.83/7.00 12. (r1 T_3 T_4) (-. (r1 T_3 T_4)) ### Axiom
% 6.83/7.00 13. (r1 T_4 T_5) (-. (r1 T_4 T_5)) ### Axiom
% 6.83/7.00 14. (r1 T_5 T_6) (-. (r1 T_5 T_6)) ### Axiom
% 6.83/7.00 15. (r1 T_6 T_7) (-. (r1 T_6 T_7)) ### Axiom
% 6.83/7.00 16. (r1 T_7 T_8) (-. (r1 T_7 T_8)) ### Axiom
% 6.83/7.00 17. (-. (All Y, ((-. (r1 T_8 Y)) \/ (p1 Y)))) (All Y, ((-. (r1 T_8 Y)) \/ (p1 Y))) ### Axiom
% 6.83/7.00 18. (p1 T_8) (-. (p1 T_8)) ### Axiom
% 6.83/7.00 19. (r1 T_8 T_9) (-. (r1 T_8 T_9)) ### Axiom
% 6.83/7.00 20. (r1 T_8 T_9) (-. (r1 T_8 T_9)) ### Axiom
% 6.83/7.00 21. (r1 T_9 T_10) (-. (r1 T_9 T_10)) ### Axiom
% 6.83/7.00 22. (-. (All X, ((-. (r1 T_10 X)) \/ (p1 X)))) (All X, ((-. (r1 T_10 X)) \/ (p1 X))) ### Axiom
% 6.83/7.00 23. ((-. (r1 T_9 T_10)) \/ (All X, ((-. (r1 T_10 X)) \/ (p1 X)))) (-. (All X, ((-. (r1 T_10 X)) \/ (p1 X)))) (r1 T_9 T_10) ### Or 21 22
% 6.83/7.00 24. (All X, ((-. (r1 T_9 X)) \/ (All Y, ((-. (r1 X Y)) \/ (p1 Y))))) (r1 T_9 T_10) (-. (All X, ((-. (r1 T_10 X)) \/ (p1 X)))) ### All 23
% 6.83/7.00 25. (-. ((-. (r1 T_9 T_10)) \/ ((All X, ((-. (r1 T_10 X)) \/ (p1 X))) \/ (-. (p1 T_10))))) (All X, ((-. (r1 T_9 X)) \/ (All Y, ((-. (r1 X Y)) \/ (p1 Y))))) ### ConjTree 24
% 6.83/7.00 26. (-. (All Y, ((-. (r1 T_9 Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ (-. (p1 Y)))))) (All X, ((-. (r1 T_9 X)) \/ (All Y, ((-. (r1 X Y)) \/ (p1 Y))))) ### NotAllEx 25
% 6.83/7.00 27. ((-. (r1 T_8 T_9)) \/ (-. (All Y, ((-. (r1 T_9 Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ (-. (p1 Y))))))) (All X, ((-. (r1 T_9 X)) \/ (All Y, ((-. (r1 X Y)) \/ (p1 Y))))) (r1 T_8 T_9) ### Or 20 26
% 6.83/7.00 28. (All Y, ((-. (r1 T_8 Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))) (r1 T_8 T_9) (All X, ((-. (r1 T_9 X)) \/ (All Y, ((-. (r1 X Y)) \/ (p1 Y))))) ### All 27
% 6.83/7.00 29. (All X, ((-. (r1 T_9 X)) \/ (p1 X))) (-. (All X, ((-. (r1 T_9 X)) \/ (p1 X)))) ### Axiom
% 6.83/7.00 30. ((-. (r1 T_8 T_9)) \/ ((All X, ((-. (r1 T_9 X)) \/ (All Y, ((-. (r1 X Y)) \/ (p1 Y))))) \/ (-. (All X, ((-. (r1 T_9 X)) \/ (p1 X)))))) (All X, ((-. (r1 T_9 X)) \/ (p1 X))) (All Y, ((-. (r1 T_8 Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))) (r1 T_8 T_9) ### DisjTree 19 28 29
% 6.83/7.00 31. (All Y, ((-. (r1 T_8 Y)) \/ ((All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (p1 Y))))) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X))))))) (r1 T_8 T_9) (All Y, ((-. (r1 T_8 Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))) (All X, ((-. (r1 T_9 X)) \/ (p1 X))) ### All 30
% 6.83/7.00 32. (r1 T_11 T_12) (-. (r1 T_11 T_12)) ### Axiom
% 6.83/7.00 33. (r1 T_8 T_11) (-. (r1 T_8 T_11)) ### Axiom
% 6.83/7.00 34. (r1 T_11 T_12) (-. (r1 T_11 T_12)) ### Axiom
% 6.83/7.00 35. (-. (p1 T_12)) (p1 T_12) ### Axiom
% 6.83/7.00 36. (All Y, ((-. (r1 T_12 Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ (-. (p1 Y))))) (-. (All Y, ((-. (r1 T_12 Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ (-. (p1 Y)))))) ### Axiom
% 6.83/7.00 37. ((-. (r1 T_11 T_12)) \/ ((p1 T_12) \/ (-. (All Y, ((-. (r1 T_12 Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ (-. (p1 Y)))))))) (All Y, ((-. (r1 T_12 Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ (-. (p1 Y))))) (-. (p1 T_12)) (r1 T_11 T_12) ### DisjTree 34 35 36
% 6.83/7.00 38. (All X, ((-. (r1 T_11 X)) \/ ((p1 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ (-. (p1 Y))))))))) (r1 T_11 T_12) (-. (p1 T_12)) (All Y, ((-. (r1 T_12 Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ (-. (p1 Y))))) ### All 37
% 6.83/7.00 39. ((-. (r1 T_8 T_11)) \/ (All X, ((-. (r1 T_11 X)) \/ ((p1 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ (-. (p1 Y)))))))))) (All Y, ((-. (r1 T_12 Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ (-. (p1 Y))))) (-. (p1 T_12)) (r1 T_11 T_12) (r1 T_8 T_11) ### Or 33 38
% 6.83/7.00 40. (All Y, ((-. (r1 T_8 Y)) \/ (All X, ((-. (r1 Y X)) \/ ((p1 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ (-. (p1 Y))))))))))) (r1 T_8 T_11) (r1 T_11 T_12) (-. (p1 T_12)) (All Y, ((-. (r1 T_12 Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ (-. (p1 Y))))) ### All 39
% 6.83/7.00 41. (-. (p1 T_12)) (p1 T_12) ### Axiom
% 6.83/7.00 42. (-. (-. (p1 T_12))) (-. (p1 T_12)) ### NotNot 41
% 6.83/7.00 43. (-. ((All Y, ((-. (r1 T_12 Y)) \/ (p1 Y))) \/ (-. (p1 T_12)))) (-. (p1 T_12)) ### NotOr 42
% 6.83/7.00 44. ((-. (r1 T_11 T_12)) \/ ((All Y, ((-. (r1 T_12 Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ (-. (p1 Y))))) \/ (-. ((All Y, ((-. (r1 T_12 Y)) \/ (p1 Y))) \/ (-. (p1 T_12)))))) (-. (p1 T_12)) (r1 T_8 T_11) (All Y, ((-. (r1 T_8 Y)) \/ (All X, ((-. (r1 Y X)) \/ ((p1 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ (-. (p1 Y))))))))))) (r1 T_11 T_12) ### DisjTree 32 40 43
% 6.83/7.00 45. (All X, ((-. (r1 T_11 X)) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ (-. (p1 Y))))) \/ (-. ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X))))))) (r1 T_11 T_12) (All Y, ((-. (r1 T_8 Y)) \/ (All X, ((-. (r1 Y X)) \/ ((p1 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ (-. (p1 Y))))))))))) (r1 T_8 T_11) (-. (p1 T_12)) ### All 44
% 6.83/7.00 46. (All Y, ((-. (r1 T_8 Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X))))))))) (-. (All Y, ((-. (r1 T_8 Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))) ### Axiom
% 6.83/7.00 47. ((All Y, ((-. (r1 T_8 Y)) \/ (All X, ((-. (r1 Y X)) \/ ((p1 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ (-. (p1 Y))))))))))) \/ (-. (All Y, ((-. (r1 T_8 Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X))))))))))) (All Y, ((-. (r1 T_8 Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X))))))))) (-. (p1 T_12)) (r1 T_8 T_11) (r1 T_11 T_12) (All X, ((-. (r1 T_11 X)) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ (-. (p1 Y))))) \/ (-. ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X))))))) ### Or 45 46
% 6.83/7.00 48. (-. (-. (r1 T_11 T_12))) (All X, ((-. (r1 T_11 X)) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ (-. (p1 Y))))) \/ (-. ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X))))))) (r1 T_8 T_11) (-. (p1 T_12)) (All Y, ((-. (r1 T_8 Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X))))))))) ((All Y, ((-. (r1 T_8 Y)) \/ (All X, ((-. (r1 Y X)) \/ ((p1 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ (-. (p1 Y))))))))))) \/ (-. (All Y, ((-. (r1 T_8 Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X))))))))))) ### NotNot 47
% 6.83/7.00 49. (-. ((-. (r1 T_11 T_12)) \/ (p1 T_12))) ((All Y, ((-. (r1 T_8 Y)) \/ (All X, ((-. (r1 Y X)) \/ ((p1 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ (-. (p1 Y))))))))))) \/ (-. (All Y, ((-. (r1 T_8 Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X))))))))))) (All Y, ((-. (r1 T_8 Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X))))))))) (r1 T_8 T_11) (All X, ((-. (r1 T_11 X)) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ (-. (p1 Y))))) \/ (-. ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X))))))) ### NotOr 48
% 6.83/7.00 50. (-. (All X, ((-. (r1 T_11 X)) \/ (p1 X)))) (All X, ((-. (r1 T_11 X)) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ (-. (p1 Y))))) \/ (-. ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X))))))) (r1 T_8 T_11) (All Y, ((-. (r1 T_8 Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X))))))))) ((All Y, ((-. (r1 T_8 Y)) \/ (All X, ((-. (r1 Y X)) \/ ((p1 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ (-. (p1 Y))))))))))) \/ (-. (All Y, ((-. (r1 T_8 Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X))))))))))) ### NotAllEx 49
% 6.83/7.02 51. (-. ((-. (r1 T_8 T_11)) \/ ((All X, ((-. (r1 T_11 X)) \/ (p1 X))) \/ ((-. (p1 T_11)) \/ (-. (All X, ((-. (r1 T_11 X)) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ (-. (p1 Y))))) \/ (-. ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))) ((All Y, ((-. (r1 T_8 Y)) \/ (All X, ((-. (r1 Y X)) \/ ((p1 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ (-. (p1 Y))))))))))) \/ (-. (All Y, ((-. (r1 T_8 Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X))))))))))) (All Y, ((-. (r1 T_8 Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X))))))))) ### ConjTree 50
% 6.83/7.02 52. (-. (All Y, ((-. (r1 T_8 Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ ((-. (p1 Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ (-. (p1 Y))))) \/ (-. ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X))))))))))))) (All Y, ((-. (r1 T_8 Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X))))))))) ((All Y, ((-. (r1 T_8 Y)) \/ (All X, ((-. (r1 Y X)) \/ ((p1 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ (-. (p1 Y))))))))))) \/ (-. (All Y, ((-. (r1 T_8 Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X))))))))))) ### NotAllEx 51
% 6.83/7.02 53. ((All Y, ((-. (r1 T_8 Y)) \/ (p1 Y))) \/ ((-. (p1 T_8)) \/ ((All Y, ((-. (r1 T_8 Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))) \/ (-. (All Y, ((-. (r1 T_8 Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ ((-. (p1 Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ (-. (p1 Y))))) \/ (-. ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))))))) ((All Y, ((-. (r1 T_8 Y)) \/ (All X, ((-. (r1 Y X)) \/ ((p1 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ (-. (p1 Y))))))))))) \/ (-. (All Y, ((-. (r1 T_8 Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X))))))))))) (All Y, ((-. (r1 T_8 Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X))))))))) (All X, ((-. (r1 T_9 X)) \/ (p1 X))) (r1 T_8 T_9) (All Y, ((-. (r1 T_8 Y)) \/ ((All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (p1 Y))))) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X))))))) (p1 T_8) (-. (All Y, ((-. (r1 T_8 Y)) \/ (p1 Y)))) ### DisjTree 17 18 31 52
% 6.83/7.02 54. (((All Y, ((-. (r1 T_8 Y)) \/ (p1 Y))) \/ ((-. (p1 T_8)) \/ ((All Y, ((-. (r1 T_8 Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))) \/ (-. (All Y, ((-. (r1 T_8 Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ ((-. (p1 Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ (-. (p1 Y))))) \/ (-. ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))))))) /\ (((p1 T_8) \/ ((All Y, ((-. (r1 T_8 Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))) \/ (-. (All Y, ((-. (r1 T_8 Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))) /\ ((All Y, ((-. (r1 T_8 Y)) \/ ((All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (p1 Y))))) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X))))))) /\ ((All Y, ((-. (r1 T_8 Y)) \/ (All X, ((-. (r1 Y X)) \/ ((p1 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ (-. (p1 Y))))))))))) \/ (-. (All Y, ((-. (r1 T_8 Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))))) (-. (All Y, ((-. (r1 T_8 Y)) \/ (p1 Y)))) (p1 T_8) (All Y, ((-. (r1 T_8 Y)) \/ ((All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (p1 Y))))) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X))))))) (r1 T_8 T_9) (All X, ((-. (r1 T_9 X)) \/ (p1 X))) (All Y, ((-. (r1 T_8 Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X))))))))) ### ConjTree 53
% 6.83/7.02 55. ((-. (r1 T_7 T_8)) \/ (((All Y, ((-. (r1 T_8 Y)) \/ (p1 Y))) \/ ((-. (p1 T_8)) \/ ((All Y, ((-. (r1 T_8 Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))) \/ (-. (All Y, ((-. (r1 T_8 Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ ((-. (p1 Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ (-. (p1 Y))))) \/ (-. ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))))))) /\ (((p1 T_8) \/ ((All Y, ((-. (r1 T_8 Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))) \/ (-. (All Y, ((-. (r1 T_8 Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))) /\ ((All Y, ((-. (r1 T_8 Y)) \/ ((All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (p1 Y))))) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X))))))) /\ ((All Y, ((-. (r1 T_8 Y)) \/ (All X, ((-. (r1 Y X)) \/ ((p1 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ (-. (p1 Y))))))))))) \/ (-. (All Y, ((-. (r1 T_8 Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X))))))))))))))) (All Y, ((-. (r1 T_8 Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X))))))))) (All X, ((-. (r1 T_9 X)) \/ (p1 X))) (r1 T_8 T_9) (All Y, ((-. (r1 T_8 Y)) \/ ((All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (p1 Y))))) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X))))))) (p1 T_8) (-. (All Y, ((-. (r1 T_8 Y)) \/ (p1 Y)))) (r1 T_7 T_8) ### Or 16 54
% 6.83/7.02 56. (All X, ((-. (r1 T_7 X)) \/ (((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ ((-. (p1 X)) \/ ((All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ ((-. (p1 Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ (-. (p1 Y))))) \/ (-. ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))))))) /\ (((p1 X) \/ ((All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))) /\ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (p1 Y))))) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X))))))) /\ ((All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ ((p1 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ (-. (p1 Y))))))))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))))))) (r1 T_7 T_8) (-. (All Y, ((-. (r1 T_8 Y)) \/ (p1 Y)))) (p1 T_8) (All Y, ((-. (r1 T_8 Y)) \/ ((All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (p1 Y))))) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X))))))) (r1 T_8 T_9) (All X, ((-. (r1 T_9 X)) \/ (p1 X))) (All Y, ((-. (r1 T_8 Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X))))))))) ### All 55
% 6.83/7.02 57. ((-. (r1 T_6 T_7)) \/ (All X, ((-. (r1 T_7 X)) \/ (((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ ((-. (p1 X)) \/ ((All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ ((-. (p1 Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ (-. (p1 Y))))) \/ (-. ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))))))) /\ (((p1 X) \/ ((All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))) /\ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (p1 Y))))) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X))))))) /\ ((All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ ((p1 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ (-. (p1 Y))))))))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X))))))))))))))))) (All Y, ((-. (r1 T_8 Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X))))))))) (All X, ((-. (r1 T_9 X)) \/ (p1 X))) (r1 T_8 T_9) (All Y, ((-. (r1 T_8 Y)) \/ ((All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (p1 Y))))) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X))))))) (p1 T_8) (-. (All Y, ((-. (r1 T_8 Y)) \/ (p1 Y)))) (r1 T_7 T_8) (r1 T_6 T_7) ### Or 15 56
% 6.83/7.03 58. (All Y, ((-. (r1 T_6 Y)) \/ (All X, ((-. (r1 Y X)) \/ (((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ ((-. (p1 X)) \/ ((All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ ((-. (p1 Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ (-. (p1 Y))))) \/ (-. ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))))))) /\ (((p1 X) \/ ((All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))) /\ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (p1 Y))))) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X))))))) /\ ((All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ ((p1 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ (-. (p1 Y))))))))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))))))))) (r1 T_6 T_7) (r1 T_7 T_8) (-. (All Y, ((-. (r1 T_8 Y)) \/ (p1 Y)))) (p1 T_8) (All Y, ((-. (r1 T_8 Y)) \/ ((All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (p1 Y))))) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X))))))) (r1 T_8 T_9) (All X, ((-. (r1 T_9 X)) \/ (p1 X))) (All Y, ((-. (r1 T_8 Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X))))))))) ### All 57
% 6.83/7.03 59. ((-. (r1 T_5 T_6)) \/ (All Y, ((-. (r1 T_6 Y)) \/ (All X, ((-. (r1 Y X)) \/ (((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ ((-. (p1 X)) \/ ((All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ ((-. (p1 Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ (-. (p1 Y))))) \/ (-. ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))))))) /\ (((p1 X) \/ ((All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))) /\ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (p1 Y))))) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X))))))) /\ ((All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ ((p1 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ (-. (p1 Y))))))))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X))))))))))))))))))) (All Y, ((-. (r1 T_8 Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X))))))))) (All X, ((-. (r1 T_9 X)) \/ (p1 X))) (r1 T_8 T_9) (All Y, ((-. (r1 T_8 Y)) \/ ((All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (p1 Y))))) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X))))))) (p1 T_8) (-. (All Y, ((-. (r1 T_8 Y)) \/ (p1 Y)))) (r1 T_7 T_8) (r1 T_6 T_7) (r1 T_5 T_6) ### Or 14 58
% 6.83/7.03 60. (All X, ((-. (r1 T_5 X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ ((-. (p1 X)) \/ ((All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ ((-. (p1 Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ (-. (p1 Y))))) \/ (-. ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))))))) /\ (((p1 X) \/ ((All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))) /\ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (p1 Y))))) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X))))))) /\ ((All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ ((p1 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ (-. (p1 Y))))))))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))))))))))) (r1 T_5 T_6) (r1 T_6 T_7) (r1 T_7 T_8) (-. (All Y, ((-. (r1 T_8 Y)) \/ (p1 Y)))) (p1 T_8) (All Y, ((-. (r1 T_8 Y)) \/ ((All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (p1 Y))))) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X))))))) (r1 T_8 T_9) (All X, ((-. (r1 T_9 X)) \/ (p1 X))) (All Y, ((-. (r1 T_8 Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X))))))))) ### All 59
% 6.83/7.03 61. ((-. (r1 T_4 T_5)) \/ (All X, ((-. (r1 T_5 X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ ((-. (p1 X)) \/ ((All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ ((-. (p1 Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ (-. (p1 Y))))) \/ (-. ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))))))) /\ (((p1 X) \/ ((All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))) /\ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (p1 Y))))) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X))))))) /\ ((All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ ((p1 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ (-. (p1 Y))))))))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X))))))))))))))))))))) (All Y, ((-. (r1 T_8 Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X))))))))) (All X, ((-. (r1 T_9 X)) \/ (p1 X))) (r1 T_8 T_9) (All Y, ((-. (r1 T_8 Y)) \/ ((All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (p1 Y))))) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X))))))) (p1 T_8) (-. (All Y, ((-. (r1 T_8 Y)) \/ (p1 Y)))) (r1 T_7 T_8) (r1 T_6 T_7) (r1 T_5 T_6) (r1 T_4 T_5) ### Or 13 60
% 6.83/7.03 62. (All Y, ((-. (r1 T_4 Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ ((-. (p1 X)) \/ ((All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ ((-. (p1 Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ (-. (p1 Y))))) \/ (-. ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))))))) /\ (((p1 X) \/ ((All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))) /\ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (p1 Y))))) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X))))))) /\ ((All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ ((p1 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ (-. (p1 Y))))))))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))))))))))))) (r1 T_4 T_5) (r1 T_5 T_6) (r1 T_6 T_7) (r1 T_7 T_8) (-. (All Y, ((-. (r1 T_8 Y)) \/ (p1 Y)))) (p1 T_8) (All Y, ((-. (r1 T_8 Y)) \/ ((All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (p1 Y))))) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X))))))) (r1 T_8 T_9) (All X, ((-. (r1 T_9 X)) \/ (p1 X))) (All Y, ((-. (r1 T_8 Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X))))))))) ### All 61
% 6.83/7.03 63. ((-. (r1 T_3 T_4)) \/ (All Y, ((-. (r1 T_4 Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ ((-. (p1 X)) \/ ((All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ ((-. (p1 Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ (-. (p1 Y))))) \/ (-. ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))))))) /\ (((p1 X) \/ ((All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))) /\ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (p1 Y))))) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X))))))) /\ ((All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ ((p1 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ (-. (p1 Y))))))))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X))))))))))))))))))))))) (All Y, ((-. (r1 T_8 Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X))))))))) (All X, ((-. (r1 T_9 X)) \/ (p1 X))) (r1 T_8 T_9) (All Y, ((-. (r1 T_8 Y)) \/ ((All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (p1 Y))))) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X))))))) (p1 T_8) (-. (All Y, ((-. (r1 T_8 Y)) \/ (p1 Y)))) (r1 T_7 T_8) (r1 T_6 T_7) (r1 T_5 T_6) (r1 T_4 T_5) (r1 T_3 T_4) ### Or 12 62
% 6.83/7.03 64. (All X, ((-. (r1 T_3 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)) \/ (p1 Y))) \/ ((-. (p1 X)) \/ ((All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ ((-. (p1 Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ (-. (p1 Y))))) \/ (-. ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))))))) /\ (((p1 X) \/ ((All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))) /\ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (p1 Y))))) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X))))))) /\ ((All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ ((p1 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ (-. (p1 Y))))))))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))))))))))))))) (r1 T_3 T_4) (r1 T_4 T_5) (r1 T_5 T_6) (r1 T_6 T_7) (r1 T_7 T_8) (-. (All Y, ((-. (r1 T_8 Y)) \/ (p1 Y)))) (p1 T_8) (All Y, ((-. (r1 T_8 Y)) \/ ((All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (p1 Y))))) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X))))))) (r1 T_8 T_9) (All X, ((-. (r1 T_9 X)) \/ (p1 X))) (All Y, ((-. (r1 T_8 Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X))))))))) ### All 63
% 6.83/7.03 65. ((-. (r1 T_2 T_3)) \/ (All X, ((-. (r1 T_3 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)) \/ (p1 Y))) \/ ((-. (p1 X)) \/ ((All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ ((-. (p1 Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ (-. (p1 Y))))) \/ (-. ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))))))) /\ (((p1 X) \/ ((All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))) /\ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (p1 Y))))) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X))))))) /\ ((All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ ((p1 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ (-. (p1 Y))))))))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X))))))))))))))))))))))))) (All Y, ((-. (r1 T_8 Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X))))))))) (All X, ((-. (r1 T_9 X)) \/ (p1 X))) (r1 T_8 T_9) (All Y, ((-. (r1 T_8 Y)) \/ ((All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (p1 Y))))) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X))))))) (p1 T_8) (-. (All Y, ((-. (r1 T_8 Y)) \/ (p1 Y)))) (r1 T_7 T_8) (r1 T_6 T_7) (r1 T_5 T_6) (r1 T_4 T_5) (r1 T_3 T_4) (r1 T_2 T_3) ### Or 11 64
% 6.83/7.03 66. (All Y, ((-. (r1 T_2 Y)) \/ (All 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)) \/ (p1 Y))) \/ ((-. (p1 X)) \/ ((All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ ((-. (p1 Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ (-. (p1 Y))))) \/ (-. ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))))))) /\ (((p1 X) \/ ((All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))) /\ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (p1 Y))))) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X))))))) /\ ((All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ ((p1 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ (-. (p1 Y))))))))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))))))))))))))))) (r1 T_2 T_3) (r1 T_3 T_4) (r1 T_4 T_5) (r1 T_5 T_6) (r1 T_6 T_7) (r1 T_7 T_8) (-. (All Y, ((-. (r1 T_8 Y)) \/ (p1 Y)))) (p1 T_8) (All Y, ((-. (r1 T_8 Y)) \/ ((All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (p1 Y))))) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X))))))) (r1 T_8 T_9) (All X, ((-. (r1 T_9 X)) \/ (p1 X))) (All Y, ((-. (r1 T_8 Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X))))))))) ### All 65
% 6.83/7.03 67. ((-. (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)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ ((-. (p1 X)) \/ ((All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ ((-. (p1 Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ (-. (p1 Y))))) \/ (-. ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))))))) /\ (((p1 X) \/ ((All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))) /\ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (p1 Y))))) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X))))))) /\ ((All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ ((p1 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ (-. (p1 Y))))))))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X))))))))))))))))))))))))))) (All Y, ((-. (r1 T_8 Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X))))))))) (All X, ((-. (r1 T_9 X)) \/ (p1 X))) (r1 T_8 T_9) (All Y, ((-. (r1 T_8 Y)) \/ ((All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (p1 Y))))) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X))))))) (p1 T_8) (-. (All Y, ((-. (r1 T_8 Y)) \/ (p1 Y)))) (r1 T_7 T_8) (r1 T_6 T_7) (r1 T_5 T_6) (r1 T_4 T_5) (r1 T_3 T_4) (r1 T_2 T_3) (r1 T_1 T_2) ### Or 10 66
% 6.83/7.04 68. (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)) \/ (((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ ((-. (p1 X)) \/ ((All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ ((-. (p1 Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ (-. (p1 Y))))) \/ (-. ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))))))) /\ (((p1 X) \/ ((All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))) /\ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (p1 Y))))) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X))))))) /\ ((All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ ((p1 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ (-. (p1 Y))))))))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))))))))))))))))))) (r1 T_1 T_2) (r1 T_2 T_3) (r1 T_3 T_4) (r1 T_4 T_5) (r1 T_5 T_6) (r1 T_6 T_7) (r1 T_7 T_8) (-. (All Y, ((-. (r1 T_8 Y)) \/ (p1 Y)))) (p1 T_8) (All Y, ((-. (r1 T_8 Y)) \/ ((All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (p1 Y))))) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X))))))) (r1 T_8 T_9) (All X, ((-. (r1 T_9 X)) \/ (p1 X))) (All Y, ((-. (r1 T_8 Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X))))))))) ### All 67
% 6.83/7.04 69. ((-. (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)) \/ (((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ ((-. (p1 X)) \/ ((All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ ((-. (p1 Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ (-. (p1 Y))))) \/ (-. ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))))))) /\ (((p1 X) \/ ((All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))) /\ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (p1 Y))))) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X))))))) /\ ((All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ ((p1 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ (-. (p1 Y))))))))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X))))))))))))))))))))))))))))) (All Y, ((-. (r1 T_8 Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X))))))))) (All X, ((-. (r1 T_9 X)) \/ (p1 X))) (r1 T_8 T_9) (All Y, ((-. (r1 T_8 Y)) \/ ((All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (p1 Y))))) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X))))))) (p1 T_8) (-. (All Y, ((-. (r1 T_8 Y)) \/ (p1 Y)))) (r1 T_7 T_8) (r1 T_6 T_7) (r1 T_5 T_6) (r1 T_4 T_5) (r1 T_3 T_4) (r1 T_2 T_3) (r1 T_1 T_2) (r1 T_0 T_1) ### Or 9 68
% 6.83/7.04 70. (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)) \/ (((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ ((-. (p1 X)) \/ ((All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ ((-. (p1 Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ (-. (p1 Y))))) \/ (-. ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))))))) /\ (((p1 X) \/ ((All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))) /\ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (p1 Y))))) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X))))))) /\ ((All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ ((p1 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ (-. (p1 Y))))))))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))))))))))))))))))))) (r1 T_0 T_1) (r1 T_1 T_2) (r1 T_2 T_3) (r1 T_3 T_4) (r1 T_4 T_5) (r1 T_5 T_6) (r1 T_6 T_7) (r1 T_7 T_8) (-. (All Y, ((-. (r1 T_8 Y)) \/ (p1 Y)))) (p1 T_8) (All Y, ((-. (r1 T_8 Y)) \/ ((All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (p1 Y))))) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X))))))) (r1 T_8 T_9) (All X, ((-. (r1 T_9 X)) \/ (p1 X))) (All Y, ((-. (r1 T_8 Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X))))))))) ### All 69
% 6.83/7.04 71. (-. (All Y, ((-. (r1 T_8 Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X))))))) (All Y, ((-. (r1 T_8 Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))) ### Axiom
% 6.83/7.04 72. (All Y, ((-. (r1 T_8 Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X))))))))) (-. (All Y, ((-. (r1 T_8 Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))) ### Axiom
% 6.83/7.04 73. ((p1 T_8) \/ ((All Y, ((-. (r1 T_8 Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))) \/ (-. (All Y, ((-. (r1 T_8 Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))) (-. (All Y, ((-. (r1 T_8 Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X))))))) (All Y, ((-. (r1 T_8 Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X))))))))) (All X, ((-. (r1 T_9 X)) \/ (p1 X))) (r1 T_8 T_9) (All Y, ((-. (r1 T_8 Y)) \/ ((All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (p1 Y))))) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X))))))) (-. (All Y, ((-. (r1 T_8 Y)) \/ (p1 Y)))) (r1 T_7 T_8) (r1 T_6 T_7) (r1 T_5 T_6) (r1 T_4 T_5) (r1 T_3 T_4) (r1 T_2 T_3) (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)) \/ (((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ ((-. (p1 X)) \/ ((All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ ((-. (p1 Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ (-. (p1 Y))))) \/ (-. ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))))))) /\ (((p1 X) \/ ((All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))) /\ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (p1 Y))))) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X))))))) /\ ((All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ ((p1 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ (-. (p1 Y))))))))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))))))))))))))))))))) ### DisjTree 70 71 72
% 6.83/7.05 74. (((All Y, ((-. (r1 T_8 Y)) \/ (p1 Y))) \/ ((-. (p1 T_8)) \/ ((All Y, ((-. (r1 T_8 Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))) \/ (-. (All Y, ((-. (r1 T_8 Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ ((-. (p1 Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ (-. (p1 Y))))) \/ (-. ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))))))) /\ (((p1 T_8) \/ ((All Y, ((-. (r1 T_8 Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))) \/ (-. (All Y, ((-. (r1 T_8 Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))) /\ ((All Y, ((-. (r1 T_8 Y)) \/ ((All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (p1 Y))))) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X))))))) /\ ((All Y, ((-. (r1 T_8 Y)) \/ (All X, ((-. (r1 Y X)) \/ ((p1 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ (-. (p1 Y))))))))))) \/ (-. (All Y, ((-. (r1 T_8 Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))))) (All Y, ((-. (r1 T_0 Y)) \/ (All X, ((-. (r1 Y X)) \/ (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)) \/ (p1 Y))) \/ ((-. (p1 X)) \/ ((All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ ((-. (p1 Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ (-. (p1 Y))))) \/ (-. ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))))))) /\ (((p1 X) \/ ((All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))) /\ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (p1 Y))))) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X))))))) /\ ((All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ ((p1 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ (-. (p1 Y))))))))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))))))))))))))))))))) (r1 T_0 T_1) (r1 T_1 T_2) (r1 T_2 T_3) (r1 T_3 T_4) (r1 T_4 T_5) (r1 T_5 T_6) (r1 T_6 T_7) (r1 T_7 T_8) (-. (All Y, ((-. (r1 T_8 Y)) \/ (p1 Y)))) (r1 T_8 T_9) (All X, ((-. (r1 T_9 X)) \/ (p1 X))) (All Y, ((-. (r1 T_8 Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X))))))))) (-. (All Y, ((-. (r1 T_8 Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X))))))) ### ConjTree 73
% 6.83/7.05 75. ((-. (r1 T_7 T_8)) \/ (((All Y, ((-. (r1 T_8 Y)) \/ (p1 Y))) \/ ((-. (p1 T_8)) \/ ((All Y, ((-. (r1 T_8 Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))) \/ (-. (All Y, ((-. (r1 T_8 Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ ((-. (p1 Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ (-. (p1 Y))))) \/ (-. ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))))))) /\ (((p1 T_8) \/ ((All Y, ((-. (r1 T_8 Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))) \/ (-. (All Y, ((-. (r1 T_8 Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))) /\ ((All Y, ((-. (r1 T_8 Y)) \/ ((All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (p1 Y))))) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X))))))) /\ ((All Y, ((-. (r1 T_8 Y)) \/ (All X, ((-. (r1 Y X)) \/ ((p1 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ (-. (p1 Y))))))))))) \/ (-. (All Y, ((-. (r1 T_8 Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X))))))))))))))) (-. (All Y, ((-. (r1 T_8 Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X))))))) (All Y, ((-. (r1 T_8 Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X))))))))) (All X, ((-. (r1 T_9 X)) \/ (p1 X))) (r1 T_8 T_9) (-. (All Y, ((-. (r1 T_8 Y)) \/ (p1 Y)))) (r1 T_6 T_7) (r1 T_5 T_6) (r1 T_4 T_5) (r1 T_3 T_4) (r1 T_2 T_3) (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)) \/ (((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ ((-. (p1 X)) \/ ((All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ ((-. (p1 Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ (-. (p1 Y))))) \/ (-. ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))))))) /\ (((p1 X) \/ ((All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))) /\ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (p1 Y))))) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X))))))) /\ ((All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ ((p1 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ (-. (p1 Y))))))))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))))))))))))))))))))) (r1 T_7 T_8) ### Or 8 74
% 6.83/7.05 76. (All X, ((-. (r1 T_7 X)) \/ (((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ ((-. (p1 X)) \/ ((All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ ((-. (p1 Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ (-. (p1 Y))))) \/ (-. ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))))))) /\ (((p1 X) \/ ((All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))) /\ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (p1 Y))))) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X))))))) /\ ((All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ ((p1 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ (-. (p1 Y))))))))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))))))) (r1 T_7 T_8) (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)) \/ (((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ ((-. (p1 X)) \/ ((All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ ((-. (p1 Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ (-. (p1 Y))))) \/ (-. ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))))))) /\ (((p1 X) \/ ((All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))) /\ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (p1 Y))))) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X))))))) /\ ((All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ ((p1 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ (-. (p1 Y))))))))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))))))))))))))))))))) (r1 T_0 T_1) (r1 T_1 T_2) (r1 T_2 T_3) (r1 T_3 T_4) (r1 T_4 T_5) (r1 T_5 T_6) (r1 T_6 T_7) (-. (All Y, ((-. (r1 T_8 Y)) \/ (p1 Y)))) (r1 T_8 T_9) (All X, ((-. (r1 T_9 X)) \/ (p1 X))) (All Y, ((-. (r1 T_8 Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X))))))))) (-. (All Y, ((-. (r1 T_8 Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X))))))) ### All 75
% 6.83/7.07 77. ((-. (r1 T_6 T_7)) \/ (All X, ((-. (r1 T_7 X)) \/ (((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ ((-. (p1 X)) \/ ((All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ ((-. (p1 Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ (-. (p1 Y))))) \/ (-. ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))))))) /\ (((p1 X) \/ ((All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))) /\ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (p1 Y))))) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X))))))) /\ ((All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ ((p1 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ (-. (p1 Y))))))))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X))))))))))))))))) (-. (All Y, ((-. (r1 T_8 Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X))))))) (All Y, ((-. (r1 T_8 Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X))))))))) (All X, ((-. (r1 T_9 X)) \/ (p1 X))) (r1 T_8 T_9) (-. (All Y, ((-. (r1 T_8 Y)) \/ (p1 Y)))) (r1 T_5 T_6) (r1 T_4 T_5) (r1 T_3 T_4) (r1 T_2 T_3) (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)) \/ (((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ ((-. (p1 X)) \/ ((All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ ((-. (p1 Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ (-. (p1 Y))))) \/ (-. ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))))))) /\ (((p1 X) \/ ((All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))) /\ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (p1 Y))))) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X))))))) /\ ((All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ ((p1 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ (-. (p1 Y))))))))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))))))))))))))))))))) (r1 T_7 T_8) (r1 T_6 T_7) ### Or 7 76
% 6.83/7.07 78. (All Y, ((-. (r1 T_6 Y)) \/ (All X, ((-. (r1 Y X)) \/ (((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ ((-. (p1 X)) \/ ((All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ ((-. (p1 Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ (-. (p1 Y))))) \/ (-. ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))))))) /\ (((p1 X) \/ ((All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))) /\ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (p1 Y))))) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X))))))) /\ ((All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ ((p1 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ (-. (p1 Y))))))))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))))))))) (r1 T_6 T_7) (r1 T_7 T_8) (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)) \/ (((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ ((-. (p1 X)) \/ ((All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ ((-. (p1 Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ (-. (p1 Y))))) \/ (-. ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))))))) /\ (((p1 X) \/ ((All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))) /\ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (p1 Y))))) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X))))))) /\ ((All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ ((p1 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ (-. (p1 Y))))))))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))))))))))))))))))))) (r1 T_0 T_1) (r1 T_1 T_2) (r1 T_2 T_3) (r1 T_3 T_4) (r1 T_4 T_5) (r1 T_5 T_6) (-. (All Y, ((-. (r1 T_8 Y)) \/ (p1 Y)))) (r1 T_8 T_9) (All X, ((-. (r1 T_9 X)) \/ (p1 X))) (All Y, ((-. (r1 T_8 Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X))))))))) (-. (All Y, ((-. (r1 T_8 Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X))))))) ### All 77
% 6.83/7.07 79. ((-. (r1 T_5 T_6)) \/ (All Y, ((-. (r1 T_6 Y)) \/ (All X, ((-. (r1 Y X)) \/ (((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ ((-. (p1 X)) \/ ((All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ ((-. (p1 Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ (-. (p1 Y))))) \/ (-. ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))))))) /\ (((p1 X) \/ ((All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))) /\ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (p1 Y))))) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X))))))) /\ ((All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ ((p1 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ (-. (p1 Y))))))))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X))))))))))))))))))) (-. (All Y, ((-. (r1 T_8 Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X))))))) (All Y, ((-. (r1 T_8 Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X))))))))) (All X, ((-. (r1 T_9 X)) \/ (p1 X))) (r1 T_8 T_9) (-. (All Y, ((-. (r1 T_8 Y)) \/ (p1 Y)))) (r1 T_4 T_5) (r1 T_3 T_4) (r1 T_2 T_3) (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)) \/ (((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ ((-. (p1 X)) \/ ((All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ ((-. (p1 Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ (-. (p1 Y))))) \/ (-. ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))))))) /\ (((p1 X) \/ ((All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))) /\ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (p1 Y))))) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X))))))) /\ ((All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ ((p1 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ (-. (p1 Y))))))))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))))))))))))))))))))) (r1 T_7 T_8) (r1 T_6 T_7) (r1 T_5 T_6) ### Or 6 78
% 6.83/7.07 80. (All X, ((-. (r1 T_5 X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ ((-. (p1 X)) \/ ((All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ ((-. (p1 Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ (-. (p1 Y))))) \/ (-. ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))))))) /\ (((p1 X) \/ ((All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))) /\ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (p1 Y))))) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X))))))) /\ ((All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ ((p1 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ (-. (p1 Y))))))))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))))))))))) (r1 T_5 T_6) (r1 T_6 T_7) (r1 T_7 T_8) (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)) \/ (((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ ((-. (p1 X)) \/ ((All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ ((-. (p1 Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ (-. (p1 Y))))) \/ (-. ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))))))) /\ (((p1 X) \/ ((All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))) /\ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (p1 Y))))) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X))))))) /\ ((All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ ((p1 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ (-. (p1 Y))))))))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))))))))))))))))))))) (r1 T_0 T_1) (r1 T_1 T_2) (r1 T_2 T_3) (r1 T_3 T_4) (r1 T_4 T_5) (-. (All Y, ((-. (r1 T_8 Y)) \/ (p1 Y)))) (r1 T_8 T_9) (All X, ((-. (r1 T_9 X)) \/ (p1 X))) (All Y, ((-. (r1 T_8 Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X))))))))) (-. (All Y, ((-. (r1 T_8 Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X))))))) ### All 79
% 6.83/7.07 81. ((-. (r1 T_4 T_5)) \/ (All X, ((-. (r1 T_5 X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ ((-. (p1 X)) \/ ((All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ ((-. (p1 Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ (-. (p1 Y))))) \/ (-. ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))))))) /\ (((p1 X) \/ ((All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))) /\ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (p1 Y))))) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X))))))) /\ ((All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ ((p1 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ (-. (p1 Y))))))))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X))))))))))))))))))))) (-. (All Y, ((-. (r1 T_8 Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X))))))) (All Y, ((-. (r1 T_8 Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X))))))))) (All X, ((-. (r1 T_9 X)) \/ (p1 X))) (r1 T_8 T_9) (-. (All Y, ((-. (r1 T_8 Y)) \/ (p1 Y)))) (r1 T_3 T_4) (r1 T_2 T_3) (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)) \/ (((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ ((-. (p1 X)) \/ ((All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ ((-. (p1 Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ (-. (p1 Y))))) \/ (-. ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))))))) /\ (((p1 X) \/ ((All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))) /\ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (p1 Y))))) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X))))))) /\ ((All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ ((p1 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ (-. (p1 Y))))))))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))))))))))))))))))))) (r1 T_7 T_8) (r1 T_6 T_7) (r1 T_5 T_6) (r1 T_4 T_5) ### Or 5 80
% 6.83/7.07 82. (All Y, ((-. (r1 T_4 Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ ((-. (p1 X)) \/ ((All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ ((-. (p1 Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ (-. (p1 Y))))) \/ (-. ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))))))) /\ (((p1 X) \/ ((All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))) /\ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (p1 Y))))) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X))))))) /\ ((All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ ((p1 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ (-. (p1 Y))))))))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))))))))))))) (r1 T_4 T_5) (r1 T_5 T_6) (r1 T_6 T_7) (r1 T_7 T_8) (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)) \/ (((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ ((-. (p1 X)) \/ ((All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ ((-. (p1 Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ (-. (p1 Y))))) \/ (-. ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))))))) /\ (((p1 X) \/ ((All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))) /\ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (p1 Y))))) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X))))))) /\ ((All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ ((p1 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ (-. (p1 Y))))))))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))))))))))))))))))))) (r1 T_0 T_1) (r1 T_1 T_2) (r1 T_2 T_3) (r1 T_3 T_4) (-. (All Y, ((-. (r1 T_8 Y)) \/ (p1 Y)))) (r1 T_8 T_9) (All X, ((-. (r1 T_9 X)) \/ (p1 X))) (All Y, ((-. (r1 T_8 Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X))))))))) (-. (All Y, ((-. (r1 T_8 Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X))))))) ### All 81
% 6.83/7.07 83. ((-. (r1 T_3 T_4)) \/ (All Y, ((-. (r1 T_4 Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ ((-. (p1 X)) \/ ((All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ ((-. (p1 Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ (-. (p1 Y))))) \/ (-. ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))))))) /\ (((p1 X) \/ ((All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))) /\ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (p1 Y))))) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X))))))) /\ ((All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ ((p1 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ (-. (p1 Y))))))))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X))))))))))))))))))))))) (-. (All Y, ((-. (r1 T_8 Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X))))))) (All Y, ((-. (r1 T_8 Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X))))))))) (All X, ((-. (r1 T_9 X)) \/ (p1 X))) (r1 T_8 T_9) (-. (All Y, ((-. (r1 T_8 Y)) \/ (p1 Y)))) (r1 T_2 T_3) (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)) \/ (((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ ((-. (p1 X)) \/ ((All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ ((-. (p1 Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ (-. (p1 Y))))) \/ (-. ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))))))) /\ (((p1 X) \/ ((All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))) /\ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (p1 Y))))) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X))))))) /\ ((All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ ((p1 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ (-. (p1 Y))))))))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))))))))))))))))))))) (r1 T_7 T_8) (r1 T_6 T_7) (r1 T_5 T_6) (r1 T_4 T_5) (r1 T_3 T_4) ### Or 4 82
% 6.83/7.07 84. (All X, ((-. (r1 T_3 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)) \/ (p1 Y))) \/ ((-. (p1 X)) \/ ((All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ ((-. (p1 Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ (-. (p1 Y))))) \/ (-. ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))))))) /\ (((p1 X) \/ ((All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))) /\ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (p1 Y))))) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X))))))) /\ ((All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ ((p1 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ (-. (p1 Y))))))))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))))))))))))))) (r1 T_3 T_4) (r1 T_4 T_5) (r1 T_5 T_6) (r1 T_6 T_7) (r1 T_7 T_8) (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)) \/ (((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ ((-. (p1 X)) \/ ((All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ ((-. (p1 Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ (-. (p1 Y))))) \/ (-. ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))))))) /\ (((p1 X) \/ ((All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))) /\ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (p1 Y))))) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X))))))) /\ ((All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ ((p1 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ (-. (p1 Y))))))))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))))))))))))))))))))) (r1 T_0 T_1) (r1 T_1 T_2) (r1 T_2 T_3) (-. (All Y, ((-. (r1 T_8 Y)) \/ (p1 Y)))) (r1 T_8 T_9) (All X, ((-. (r1 T_9 X)) \/ (p1 X))) (All Y, ((-. (r1 T_8 Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X))))))))) (-. (All Y, ((-. (r1 T_8 Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X))))))) ### All 83
% 6.83/7.07 85. ((-. (r1 T_2 T_3)) \/ (All X, ((-. (r1 T_3 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)) \/ (p1 Y))) \/ ((-. (p1 X)) \/ ((All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ ((-. (p1 Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ (-. (p1 Y))))) \/ (-. ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))))))) /\ (((p1 X) \/ ((All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))) /\ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (p1 Y))))) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X))))))) /\ ((All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ ((p1 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ (-. (p1 Y))))))))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X))))))))))))))))))))))))) (-. (All Y, ((-. (r1 T_8 Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X))))))) (All Y, ((-. (r1 T_8 Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X))))))))) (All X, ((-. (r1 T_9 X)) \/ (p1 X))) (r1 T_8 T_9) (-. (All Y, ((-. (r1 T_8 Y)) \/ (p1 Y)))) (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)) \/ (((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ ((-. (p1 X)) \/ ((All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ ((-. (p1 Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ (-. (p1 Y))))) \/ (-. ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))))))) /\ (((p1 X) \/ ((All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))) /\ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (p1 Y))))) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X))))))) /\ ((All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ ((p1 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ (-. (p1 Y))))))))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))))))))))))))))))))) (r1 T_7 T_8) (r1 T_6 T_7) (r1 T_5 T_6) (r1 T_4 T_5) (r1 T_3 T_4) (r1 T_2 T_3) ### Or 3 84
% 6.83/7.08 86. (All Y, ((-. (r1 T_2 Y)) \/ (All 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)) \/ (p1 Y))) \/ ((-. (p1 X)) \/ ((All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ ((-. (p1 Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ (-. (p1 Y))))) \/ (-. ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))))))) /\ (((p1 X) \/ ((All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))) /\ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (p1 Y))))) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X))))))) /\ ((All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ ((p1 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ (-. (p1 Y))))))))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))))))))))))))))) (r1 T_2 T_3) (r1 T_3 T_4) (r1 T_4 T_5) (r1 T_5 T_6) (r1 T_6 T_7) (r1 T_7 T_8) (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)) \/ (((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ ((-. (p1 X)) \/ ((All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ ((-. (p1 Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ (-. (p1 Y))))) \/ (-. ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))))))) /\ (((p1 X) \/ ((All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))) /\ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (p1 Y))))) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X))))))) /\ ((All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ ((p1 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ (-. (p1 Y))))))))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))))))))))))))))))))) (r1 T_0 T_1) (r1 T_1 T_2) (-. (All Y, ((-. (r1 T_8 Y)) \/ (p1 Y)))) (r1 T_8 T_9) (All X, ((-. (r1 T_9 X)) \/ (p1 X))) (All Y, ((-. (r1 T_8 Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X))))))))) (-. (All Y, ((-. (r1 T_8 Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X))))))) ### All 85
% 6.83/7.08 87. ((-. (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)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ ((-. (p1 X)) \/ ((All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ ((-. (p1 Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ (-. (p1 Y))))) \/ (-. ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))))))) /\ (((p1 X) \/ ((All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))) /\ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (p1 Y))))) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X))))))) /\ ((All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ ((p1 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ (-. (p1 Y))))))))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X))))))))))))))))))))))))))) (-. (All Y, ((-. (r1 T_8 Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X))))))) (All Y, ((-. (r1 T_8 Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X))))))))) (All X, ((-. (r1 T_9 X)) \/ (p1 X))) (r1 T_8 T_9) (-. (All Y, ((-. (r1 T_8 Y)) \/ (p1 Y)))) (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)) \/ (((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ ((-. (p1 X)) \/ ((All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ ((-. (p1 Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ (-. (p1 Y))))) \/ (-. ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))))))) /\ (((p1 X) \/ ((All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))) /\ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (p1 Y))))) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X))))))) /\ ((All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ ((p1 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ (-. (p1 Y))))))))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))))))))))))))))))))) (r1 T_7 T_8) (r1 T_6 T_7) (r1 T_5 T_6) (r1 T_4 T_5) (r1 T_3 T_4) (r1 T_2 T_3) (r1 T_1 T_2) ### Or 2 86
% 6.83/7.08 88. (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)) \/ (((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ ((-. (p1 X)) \/ ((All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ ((-. (p1 Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ (-. (p1 Y))))) \/ (-. ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))))))) /\ (((p1 X) \/ ((All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))) /\ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (p1 Y))))) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X))))))) /\ ((All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ ((p1 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ (-. (p1 Y))))))))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))))))))))))))))))) (r1 T_1 T_2) (r1 T_2 T_3) (r1 T_3 T_4) (r1 T_4 T_5) (r1 T_5 T_6) (r1 T_6 T_7) (r1 T_7 T_8) (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)) \/ (((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ ((-. (p1 X)) \/ ((All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ ((-. (p1 Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ (-. (p1 Y))))) \/ (-. ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))))))) /\ (((p1 X) \/ ((All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))) /\ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (p1 Y))))) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X))))))) /\ ((All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ ((p1 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ (-. (p1 Y))))))))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))))))))))))))))))))) (r1 T_0 T_1) (-. (All Y, ((-. (r1 T_8 Y)) \/ (p1 Y)))) (r1 T_8 T_9) (All X, ((-. (r1 T_9 X)) \/ (p1 X))) (All Y, ((-. (r1 T_8 Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X))))))))) (-. (All Y, ((-. (r1 T_8 Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X))))))) ### All 87
% 6.83/7.08 89. ((-. (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)) \/ (((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ ((-. (p1 X)) \/ ((All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ ((-. (p1 Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ (-. (p1 Y))))) \/ (-. ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))))))) /\ (((p1 X) \/ ((All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))) /\ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (p1 Y))))) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X))))))) /\ ((All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ ((p1 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ (-. (p1 Y))))))))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X))))))))))))))))))))))))))))) (-. (All Y, ((-. (r1 T_8 Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X))))))) (All Y, ((-. (r1 T_8 Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X))))))))) (All X, ((-. (r1 T_9 X)) \/ (p1 X))) (r1 T_8 T_9) (-. (All Y, ((-. (r1 T_8 Y)) \/ (p1 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)) \/ (((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ ((-. (p1 X)) \/ ((All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ ((-. (p1 Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ (-. (p1 Y))))) \/ (-. ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))))))) /\ (((p1 X) \/ ((All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))) /\ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (p1 Y))))) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X))))))) /\ ((All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ ((p1 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ (-. (p1 Y))))))))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))))))))))))))))))))) (r1 T_7 T_8) (r1 T_6 T_7) (r1 T_5 T_6) (r1 T_4 T_5) (r1 T_3 T_4) (r1 T_2 T_3) (r1 T_1 T_2) (r1 T_0 T_1) ### Or 1 88
% 6.83/7.08 90. (r1 T_0 T_1) (r1 T_1 T_2) (r1 T_2 T_3) (r1 T_3 T_4) (r1 T_4 T_5) (r1 T_5 T_6) (r1 T_6 T_7) (r1 T_7 T_8) (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)) \/ (((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ ((-. (p1 X)) \/ ((All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ ((-. (p1 Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ (-. (p1 Y))))) \/ (-. ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))))))) /\ (((p1 X) \/ ((All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))) /\ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (p1 Y))))) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X))))))) /\ ((All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ ((p1 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ (-. (p1 Y))))))))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))))))))))))))))))))) (-. (All Y, ((-. (r1 T_8 Y)) \/ (p1 Y)))) (r1 T_8 T_9) (All X, ((-. (r1 T_9 X)) \/ (p1 X))) (All Y, ((-. (r1 T_8 Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X))))))))) (-. (All Y, ((-. (r1 T_8 Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X))))))) ### All 89
% 6.93/7.09 91. (-. (-. (All X, ((-. (r1 T_9 X)) \/ (p1 X))))) (-. (All Y, ((-. (r1 T_8 Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X))))))) (All Y, ((-. (r1 T_8 Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X))))))))) (r1 T_8 T_9) (-. (All Y, ((-. (r1 T_8 Y)) \/ (p1 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)) \/ (((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ ((-. (p1 X)) \/ ((All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ ((-. (p1 Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ (-. (p1 Y))))) \/ (-. ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))))))) /\ (((p1 X) \/ ((All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))) /\ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (p1 Y))))) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X))))))) /\ ((All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ ((p1 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ (-. (p1 Y))))))))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))))))))))))))))))))) (r1 T_7 T_8) (r1 T_6 T_7) (r1 T_5 T_6) (r1 T_4 T_5) (r1 T_3 T_4) (r1 T_2 T_3) (r1 T_1 T_2) (r1 T_0 T_1) ### NotNot 90
% 6.93/7.09 92. (-. (-. (r1 T_8 T_9))) (r1 T_0 T_1) (r1 T_1 T_2) (r1 T_2 T_3) (r1 T_3 T_4) (r1 T_4 T_5) (r1 T_5 T_6) (r1 T_6 T_7) (r1 T_7 T_8) (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)) \/ (((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ ((-. (p1 X)) \/ ((All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ ((-. (p1 Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ (-. (p1 Y))))) \/ (-. ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))))))) /\ (((p1 X) \/ ((All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))) /\ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (p1 Y))))) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X))))))) /\ ((All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ ((p1 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ (-. (p1 Y))))))))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))))))))))))))))))))) (-. (All Y, ((-. (r1 T_8 Y)) \/ (p1 Y)))) (All Y, ((-. (r1 T_8 Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X))))))))) (-. (All Y, ((-. (r1 T_8 Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X))))))) (-. (-. (All X, ((-. (r1 T_9 X)) \/ (p1 X))))) ### NotNot 91
% 6.93/7.09 93. (-. ((-. (r1 T_8 T_9)) \/ (-. (All X, ((-. (r1 T_9 X)) \/ (p1 X)))))) (-. (All Y, ((-. (r1 T_8 Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X))))))) (All Y, ((-. (r1 T_8 Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X))))))))) (-. (All Y, ((-. (r1 T_8 Y)) \/ (p1 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)) \/ (((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ ((-. (p1 X)) \/ ((All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ ((-. (p1 Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ (-. (p1 Y))))) \/ (-. ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))))))) /\ (((p1 X) \/ ((All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))) /\ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (p1 Y))))) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X))))))) /\ ((All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ ((p1 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ (-. (p1 Y))))))))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))))))))))))))))))))) (r1 T_7 T_8) (r1 T_6 T_7) (r1 T_5 T_6) (r1 T_4 T_5) (r1 T_3 T_4) (r1 T_2 T_3) (r1 T_1 T_2) (r1 T_0 T_1) ### NotOr 92
% 6.93/7.09 94. (r1 T_0 T_1) (r1 T_1 T_2) (r1 T_2 T_3) (r1 T_3 T_4) (r1 T_4 T_5) (r1 T_5 T_6) (r1 T_6 T_7) (r1 T_7 T_8) (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)) \/ (((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ ((-. (p1 X)) \/ ((All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ ((-. (p1 Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ (-. (p1 Y))))) \/ (-. ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))))))) /\ (((p1 X) \/ ((All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))) /\ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (p1 Y))))) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X))))))) /\ ((All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ ((p1 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ (-. (p1 Y))))))))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))))))))))))))))))))) (-. (All Y, ((-. (r1 T_8 Y)) \/ (p1 Y)))) (All Y, ((-. (r1 T_8 Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X))))))))) (-. (All Y, ((-. (r1 T_8 Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X))))))) ### NotAllEx 93
% 6.93/7.09 95. (-. ((-. (r1 T_7 T_8)) \/ ((All Y, ((-. (r1 T_8 Y)) \/ (p1 Y))) \/ ((All Y, ((-. (r1 T_8 Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))) \/ (-. (All Y, ((-. (r1 T_8 Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))))) (All Y, ((-. (r1 T_0 Y)) \/ (All X, ((-. (r1 Y X)) \/ (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)) \/ (p1 Y))) \/ ((-. (p1 X)) \/ ((All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ ((-. (p1 Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ (-. (p1 Y))))) \/ (-. ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))))))) /\ (((p1 X) \/ ((All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))) /\ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (p1 Y))))) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X))))))) /\ ((All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ ((p1 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ (-. (p1 Y))))))))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))))))))))))))))))))) (r1 T_6 T_7) (r1 T_5 T_6) (r1 T_4 T_5) (r1 T_3 T_4) (r1 T_2 T_3) (r1 T_1 T_2) (r1 T_0 T_1) ### ConjTree 94
% 6.94/7.10 96. (-. (All X, ((-. (r1 T_7 X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ ((All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X))))))))))))))) (r1 T_0 T_1) (r1 T_1 T_2) (r1 T_2 T_3) (r1 T_3 T_4) (r1 T_4 T_5) (r1 T_5 T_6) (r1 T_6 T_7) (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)) \/ (((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ ((-. (p1 X)) \/ ((All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ ((-. (p1 Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ (-. (p1 Y))))) \/ (-. ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))))))) /\ (((p1 X) \/ ((All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))) /\ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (p1 Y))))) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X))))))) /\ ((All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ ((p1 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ (-. (p1 Y))))))))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))))))))))))))))))))) ### NotAllEx 95
% 6.94/7.10 97. (-. (-. (r1 T_6 T_7))) (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)) \/ (((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ ((-. (p1 X)) \/ ((All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ ((-. (p1 Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ (-. (p1 Y))))) \/ (-. ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))))))) /\ (((p1 X) \/ ((All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))) /\ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (p1 Y))))) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X))))))) /\ ((All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ ((p1 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ (-. (p1 Y))))))))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))))))))))))))))))))) (r1 T_5 T_6) (r1 T_4 T_5) (r1 T_3 T_4) (r1 T_2 T_3) (r1 T_1 T_2) (r1 T_0 T_1) (-. (All X, ((-. (r1 T_7 X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ ((All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X))))))))))))))) ### NotNot 96
% 6.94/7.10 98. (-. ((-. (r1 T_6 T_7)) \/ (All X, ((-. (r1 T_7 X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ ((All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))))))) (r1 T_0 T_1) (r1 T_1 T_2) (r1 T_2 T_3) (r1 T_3 T_4) (r1 T_4 T_5) (r1 T_5 T_6) (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)) \/ (((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ ((-. (p1 X)) \/ ((All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ ((-. (p1 Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ (-. (p1 Y))))) \/ (-. ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))))))) /\ (((p1 X) \/ ((All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))) /\ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (p1 Y))))) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X))))))) /\ ((All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ ((p1 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ (-. (p1 Y))))))))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))))))))))))))))))))) ### NotOr 97
% 6.94/7.10 99. (-. (All Y, ((-. (r1 T_6 Y)) \/ (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ ((All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X))))))))))))))))) (All Y, ((-. (r1 T_0 Y)) \/ (All X, ((-. (r1 Y X)) \/ (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)) \/ (p1 Y))) \/ ((-. (p1 X)) \/ ((All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ ((-. (p1 Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ (-. (p1 Y))))) \/ (-. ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))))))) /\ (((p1 X) \/ ((All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))) /\ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (p1 Y))))) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X))))))) /\ ((All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ ((p1 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ (-. (p1 Y))))))))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))))))))))))))))))))) (r1 T_5 T_6) (r1 T_4 T_5) (r1 T_3 T_4) (r1 T_2 T_3) (r1 T_1 T_2) (r1 T_0 T_1) ### NotAllEx 98
% 6.94/7.10 100. (-. (-. (r1 T_5 T_6))) (r1 T_0 T_1) (r1 T_1 T_2) (r1 T_2 T_3) (r1 T_3 T_4) (r1 T_4 T_5) (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)) \/ (((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ ((-. (p1 X)) \/ ((All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ ((-. (p1 Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ (-. (p1 Y))))) \/ (-. ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))))))) /\ (((p1 X) \/ ((All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))) /\ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (p1 Y))))) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X))))))) /\ ((All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ ((p1 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ (-. (p1 Y))))))))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))))))))))))))))))))) (-. (All Y, ((-. (r1 T_6 Y)) \/ (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ ((All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X))))))))))))))))) ### NotNot 99
% 6.94/7.11 101. (-. ((-. (r1 T_5 T_6)) \/ (All Y, ((-. (r1 T_6 Y)) \/ (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ ((All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))))))))) (All Y, ((-. (r1 T_0 Y)) \/ (All X, ((-. (r1 Y X)) \/ (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)) \/ (p1 Y))) \/ ((-. (p1 X)) \/ ((All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ ((-. (p1 Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ (-. (p1 Y))))) \/ (-. ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))))))) /\ (((p1 X) \/ ((All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))) /\ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (p1 Y))))) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X))))))) /\ ((All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ ((p1 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ (-. (p1 Y))))))))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))))))))))))))))))))) (r1 T_4 T_5) (r1 T_3 T_4) (r1 T_2 T_3) (r1 T_1 T_2) (r1 T_0 T_1) ### NotOr 100
% 6.94/7.11 102. (-. (All X, ((-. (r1 T_5 X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ ((All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X))))))))))))))))))) (r1 T_0 T_1) (r1 T_1 T_2) (r1 T_2 T_3) (r1 T_3 T_4) (r1 T_4 T_5) (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)) \/ (((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ ((-. (p1 X)) \/ ((All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ ((-. (p1 Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ (-. (p1 Y))))) \/ (-. ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))))))) /\ (((p1 X) \/ ((All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))) /\ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (p1 Y))))) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X))))))) /\ ((All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ ((p1 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ (-. (p1 Y))))))))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))))))))))))))))))))) ### NotAllEx 101
% 6.94/7.11 103. (-. (-. (r1 T_4 T_5))) (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)) \/ (((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ ((-. (p1 X)) \/ ((All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ ((-. (p1 Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ (-. (p1 Y))))) \/ (-. ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))))))) /\ (((p1 X) \/ ((All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))) /\ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (p1 Y))))) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X))))))) /\ ((All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ ((p1 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ (-. (p1 Y))))))))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))))))))))))))))))))) (r1 T_3 T_4) (r1 T_2 T_3) (r1 T_1 T_2) (r1 T_0 T_1) (-. (All X, ((-. (r1 T_5 X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ ((All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X))))))))))))))))))) ### NotNot 102
% 6.94/7.11 104. (-. ((-. (r1 T_4 T_5)) \/ (All X, ((-. (r1 T_5 X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ ((All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))))))))))) (r1 T_0 T_1) (r1 T_1 T_2) (r1 T_2 T_3) (r1 T_3 T_4) (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)) \/ (((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ ((-. (p1 X)) \/ ((All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ ((-. (p1 Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ (-. (p1 Y))))) \/ (-. ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))))))) /\ (((p1 X) \/ ((All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))) /\ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (p1 Y))))) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X))))))) /\ ((All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ ((p1 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ (-. (p1 Y))))))))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))))))))))))))))))))) ### NotOr 103
% 6.94/7.11 105. (-. (All Y, ((-. (r1 T_4 Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ ((All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X))))))))))))))))))))) (All Y, ((-. (r1 T_0 Y)) \/ (All X, ((-. (r1 Y X)) \/ (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)) \/ (p1 Y))) \/ ((-. (p1 X)) \/ ((All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ ((-. (p1 Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ (-. (p1 Y))))) \/ (-. ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))))))) /\ (((p1 X) \/ ((All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))) /\ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (p1 Y))))) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X))))))) /\ ((All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ ((p1 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ (-. (p1 Y))))))))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))))))))))))))))))))) (r1 T_3 T_4) (r1 T_2 T_3) (r1 T_1 T_2) (r1 T_0 T_1) ### NotAllEx 104
% 6.94/7.11 106. (-. (-. (r1 T_3 T_4))) (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)) \/ (((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ ((-. (p1 X)) \/ ((All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ ((-. (p1 Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ (-. (p1 Y))))) \/ (-. ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))))))) /\ (((p1 X) \/ ((All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))) /\ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (p1 Y))))) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X))))))) /\ ((All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ ((p1 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ (-. (p1 Y))))))))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))))))))))))))))))))) (-. (All Y, ((-. (r1 T_4 Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ ((All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X))))))))))))))))))))) ### NotNot 105
% 6.94/7.11 107. (-. ((-. (r1 T_3 T_4)) \/ (All Y, ((-. (r1 T_4 Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ ((All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))))))))))))) (All Y, ((-. (r1 T_0 Y)) \/ (All X, ((-. (r1 Y X)) \/ (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)) \/ (p1 Y))) \/ ((-. (p1 X)) \/ ((All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ ((-. (p1 Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ (-. (p1 Y))))) \/ (-. ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))))))) /\ (((p1 X) \/ ((All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))) /\ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (p1 Y))))) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X))))))) /\ ((All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ ((p1 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ (-. (p1 Y))))))))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))))))))))))))))))))) (r1 T_2 T_3) (r1 T_1 T_2) (r1 T_0 T_1) ### NotOr 106
% 6.94/7.11 108. (-. (All X, ((-. (r1 T_3 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)) \/ (p1 Y))) \/ ((All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (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)) \/ (((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ ((-. (p1 X)) \/ ((All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ ((-. (p1 Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ (-. (p1 Y))))) \/ (-. ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))))))) /\ (((p1 X) \/ ((All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))) /\ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (p1 Y))))) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X))))))) /\ ((All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ ((p1 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ (-. (p1 Y))))))))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))))))))))))))))))))) ### NotAllEx 107
% 6.94/7.11 109. (-. (-. (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)) \/ (((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ ((-. (p1 X)) \/ ((All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ ((-. (p1 Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ (-. (p1 Y))))) \/ (-. ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))))))) /\ (((p1 X) \/ ((All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))) /\ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (p1 Y))))) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X))))))) /\ ((All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ ((p1 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ (-. (p1 Y))))))))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))))))))))))))))))))) (r1 T_1 T_2) (r1 T_0 T_1) (-. (All X, ((-. (r1 T_3 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)) \/ (p1 Y))) \/ ((All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X))))))))))))))))))))))) ### NotNot 108
% 6.96/7.11 110. (-. ((-. (r1 T_2 T_3)) \/ (All X, ((-. (r1 T_3 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)) \/ (p1 Y))) \/ ((All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (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)) \/ (((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ ((-. (p1 X)) \/ ((All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ ((-. (p1 Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ (-. (p1 Y))))) \/ (-. ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))))))) /\ (((p1 X) \/ ((All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))) /\ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (p1 Y))))) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X))))))) /\ ((All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ ((p1 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ (-. (p1 Y))))))))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))))))))))))))))))))) ### NotOr 109
% 6.96/7.11 111. (-. (All Y, ((-. (r1 T_2 Y)) \/ (All 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)) \/ (p1 Y))) \/ ((All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X))))))))))))))))))))))))) (All Y, ((-. (r1 T_0 Y)) \/ (All X, ((-. (r1 Y X)) \/ (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)) \/ (p1 Y))) \/ ((-. (p1 X)) \/ ((All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ ((-. (p1 Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ (-. (p1 Y))))) \/ (-. ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))))))) /\ (((p1 X) \/ ((All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))) /\ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (p1 Y))))) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X))))))) /\ ((All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ ((p1 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ (-. (p1 Y))))))))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))))))))))))))))))))) (r1 T_1 T_2) (r1 T_0 T_1) ### NotAllEx 110
% 6.96/7.11 112. (-. (-. (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)) \/ (((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ ((-. (p1 X)) \/ ((All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ ((-. (p1 Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ (-. (p1 Y))))) \/ (-. ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))))))) /\ (((p1 X) \/ ((All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))) /\ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (p1 Y))))) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X))))))) /\ ((All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ ((p1 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ (-. (p1 Y))))))))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))))))))))))))))))))) (-. (All Y, ((-. (r1 T_2 Y)) \/ (All 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)) \/ (p1 Y))) \/ ((All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X))))))))))))))))))))))))) ### NotNot 111
% 6.96/7.11 113. (-. ((-. (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)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ ((All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))))))))))))))))) (All Y, ((-. (r1 T_0 Y)) \/ (All X, ((-. (r1 Y X)) \/ (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)) \/ (p1 Y))) \/ ((-. (p1 X)) \/ ((All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ ((-. (p1 Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ (-. (p1 Y))))) \/ (-. ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))))))) /\ (((p1 X) \/ ((All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))) /\ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (p1 Y))))) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X))))))) /\ ((All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ ((p1 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ (-. (p1 Y))))))))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))))))))))))))))))))) (r1 T_0 T_1) ### NotOr 112
% 6.96/7.11 114. (-. (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)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ ((All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (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)) \/ (((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ ((-. (p1 X)) \/ ((All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ ((-. (p1 Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ (-. (p1 Y))))) \/ (-. ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))))))) /\ (((p1 X) \/ ((All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))) /\ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (p1 Y))))) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X))))))) /\ ((All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ ((p1 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ (-. (p1 Y))))))))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))))))))))))))))))))) ### NotAllEx 113
% 6.96/7.11 115. (-. (-. (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)) \/ (((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ ((-. (p1 X)) \/ ((All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ ((-. (p1 Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ (-. (p1 Y))))) \/ (-. ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))))))) /\ (((p1 X) \/ ((All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))) /\ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (p1 Y))))) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X))))))) /\ ((All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ ((p1 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ (-. (p1 Y))))))))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (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)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ ((All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X))))))))))))))))))))))))))) ### NotNot 114
% 6.96/7.11 116. (-. ((-. (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)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ ((All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))))))))))))))))))) (All Y, ((-. (r1 T_0 Y)) \/ (All X, ((-. (r1 Y X)) \/ (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)) \/ (p1 Y))) \/ ((-. (p1 X)) \/ ((All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ ((-. (p1 Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ (-. (p1 Y))))) \/ (-. ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))))))) /\ (((p1 X) \/ ((All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))) /\ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (p1 Y))))) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X))))))) /\ ((All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ ((p1 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ (-. (p1 Y))))))))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))))))))))))))))))))) ### NotOr 115
% 6.96/7.11 117. (-. (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)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ ((All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X))))))))))))))))))))))))))))) (All Y, ((-. (r1 T_0 Y)) \/ (All X, ((-. (r1 Y X)) \/ (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)) \/ (p1 Y))) \/ ((-. (p1 X)) \/ ((All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ ((-. (p1 Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ (-. (p1 Y))))) \/ (-. ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))))))) /\ (((p1 X) \/ ((All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))) /\ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (p1 Y))))) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X))))))) /\ ((All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ ((p1 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ (-. (p1 Y))))))))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))))))))))))))))))))) ### NotAllEx 116
% 6.96/7.11 118. (-. ((-. (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)) \/ (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)) \/ (((p1 X) \/ ((All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))) /\ (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (p1 Y))))) \/ (-. (All X, ((-. (r1 Y 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)) \/ (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)) \/ (((p1 Y) \/ ((All X, ((-. (r1 Y X)) \/ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y)))))) \/ (-. (All X, ((-. (r1 Y X)) \/ ((p1 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ (-. (p1 Y)))))))))))) /\ (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (p1 X))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (p1 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)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (((p1 X) \/ ((All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))) /\ (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (p1 Y))))) \/ (-. (All X, ((-. (r1 Y 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)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (((p1 Y) \/ ((All X, ((-. (r1 Y X)) \/ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y)))))) \/ (-. (All X, ((-. (r1 Y X)) \/ ((p1 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ (-. (p1 Y)))))))))))) /\ (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (p1 X))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (p1 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)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (((p1 X) \/ ((All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))) /\ (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (p1 Y))))) \/ (-. (All X, ((-. (r1 Y 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)) \/ (All Y, ((-. (r1 X Y)) \/ (((p1 Y) \/ ((All X, ((-. (r1 Y X)) \/ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y)))))) \/ (-. (All X, ((-. (r1 Y X)) \/ ((p1 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ (-. (p1 Y)))))))))))) /\ (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (p1 X))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (p1 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)) \/ (((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ ((-. (p1 X)) \/ ((All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ ((-. (p1 Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ (-. (p1 Y))))) \/ (-. ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))))))) /\ (((p1 X) \/ ((All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))) /\ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (p1 Y))))) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X))))))) /\ ((All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ ((p1 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ (-. (p1 Y))))))))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X))))))))))))))))))))))))))))))) \/ (-. ((-. (All Y, ((-. (r1 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)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ ((All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X))))))))))))))))))))))))))))) /\ ((All Y, ((-. (r1 T_0 Y)) \/ (All X, ((-. (r1 Y X)) \/ (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)) \/ (((p1 Y) \/ ((All X, ((-. (r1 Y X)) \/ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y)))))) \/ (-. (All X, ((-. (r1 Y X)) \/ ((p1 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ (-. (p1 Y)))))))))))) /\ (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (p1 X))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (p1 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)) \/ (((p1 X) \/ ((All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))) /\ (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (p1 Y))))) \/ (-. (All X, ((-. (r1 Y 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)) \/ (((p1 Y) \/ ((All X, ((-. (r1 Y X)) \/ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y)))))) \/ (-. (All X, ((-. (r1 Y X)) \/ ((p1 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ (-. (p1 Y)))))))))))) /\ (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (p1 X))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y)))))))))))))))))) /\ ((All Y, ((-. (r1 T_0 Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (((p1 X) \/ ((All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))) /\ (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (p1 Y))))) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))))))))))))) /\ ((All Y, ((-. (r1 T_0 Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (((p1 Y) \/ ((All X, ((-. (r1 Y X)) \/ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y)))))) \/ (-. (All X, ((-. (r1 Y X)) \/ ((p1 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ (-. (p1 Y)))))))))))) /\ (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (p1 X))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y)))))))))))))) /\ ((All Y, ((-. (r1 T_0 Y)) \/ (All X, ((-. (r1 Y X)) \/ (((p1 X) \/ ((All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))) /\ (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (p1 Y))))) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))))))))) /\ (All Y, ((-. (r1 T_0 Y)) \/ (((p1 Y) \/ ((All X, ((-. (r1 Y X)) \/ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y)))))) \/ (-. (All X, ((-. (r1 Y X)) \/ ((p1 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ (-. (p1 Y)))))))))))) /\ (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (p1 X))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y)))))))))))))))))))))))))) ### ConjTree 117
% 6.96/7.12 119. (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)) \/ (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)) \/ (((p1 X) \/ ((All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))) /\ (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (p1 Y))))) \/ (-. (All X, ((-. (r1 Y 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)) \/ (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)) \/ (((p1 Y) \/ ((All X, ((-. (r1 Y X)) \/ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y)))))) \/ (-. (All X, ((-. (r1 Y X)) \/ ((p1 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ (-. (p1 Y)))))))))))) /\ (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (p1 X))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (p1 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)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (((p1 X) \/ ((All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))) /\ (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (p1 Y))))) \/ (-. (All X, ((-. (r1 Y 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)) \/ (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)) \/ (((p1 Y) \/ ((All X, ((-. (r1 Y X)) \/ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y)))))) \/ (-. (All X, ((-. (r1 Y X)) \/ ((p1 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ (-. (p1 Y)))))))))))) /\ (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (p1 X))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (p1 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)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (((p1 X) \/ ((All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))) /\ (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (p1 Y))))) \/ (-. (All X, ((-. (r1 Y 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)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (((p1 Y) \/ ((All X, ((-. (r1 Y X)) \/ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y)))))) \/ (-. (All X, ((-. (r1 Y X)) \/ ((p1 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ (-. (p1 Y)))))))))))) /\ (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (p1 X))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (p1 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)) \/ (((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ ((-. (p1 X)) \/ ((All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ ((-. (p1 Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ (-. (p1 Y))))) \/ (-. ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))))))) /\ (((p1 X) \/ ((All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))) /\ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (p1 Y))))) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X))))))) /\ ((All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ ((p1 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ (-. (p1 Y))))))))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X))))))))))))))))))))))))))))))) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (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)) \/ (p1 Y))) \/ ((All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X))))))))))))))))))))))))))))) /\ ((All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (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)) \/ (((p1 Y) \/ ((All X, ((-. (r1 Y X)) \/ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y)))))) \/ (-. (All X, ((-. (r1 Y X)) \/ ((p1 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ (-. (p1 Y)))))))))))) /\ (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (p1 X))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (p1 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)) \/ (((p1 X) \/ ((All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))) /\ (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (p1 Y))))) \/ (-. (All X, ((-. (r1 Y 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)) \/ (((p1 Y) \/ ((All X, ((-. (r1 Y X)) \/ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y)))))) \/ (-. (All X, ((-. (r1 Y X)) \/ ((p1 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ (-. (p1 Y)))))))))))) /\ (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (p1 X))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y)))))))))))))))))) /\ ((All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (((p1 X) \/ ((All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))) /\ (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (p1 Y))))) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))))))))))))) /\ ((All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (((p1 Y) \/ ((All X, ((-. (r1 Y X)) \/ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y)))))) \/ (-. (All X, ((-. (r1 Y X)) \/ ((p1 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ (-. (p1 Y)))))))))))) /\ (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (p1 X))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y)))))))))))))) /\ ((All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (((p1 X) \/ ((All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))) /\ (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (p1 Y))))) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))))))))) /\ (All Y, ((-. (r1 X Y)) \/ (((p1 Y) \/ ((All X, ((-. (r1 Y X)) \/ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y)))))) \/ (-. (All X, ((-. (r1 Y X)) \/ ((p1 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ (-. (p1 Y)))))))))))) /\ (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (p1 X))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y))))))))))))))))))))))))))) ### Exists 118
% 6.96/7.12 120. (-. (-. (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)) \/ (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)) \/ (((p1 X) \/ ((All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))) /\ (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (p1 Y))))) \/ (-. (All X, ((-. (r1 Y 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)) \/ (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)) \/ (((p1 Y) \/ ((All X, ((-. (r1 Y X)) \/ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y)))))) \/ (-. (All X, ((-. (r1 Y X)) \/ ((p1 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ (-. (p1 Y)))))))))))) /\ (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (p1 X))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (p1 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)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (((p1 X) \/ ((All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))) /\ (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (p1 Y))))) \/ (-. (All X, ((-. (r1 Y 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)) \/ (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)) \/ (((p1 Y) \/ ((All X, ((-. (r1 Y X)) \/ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y)))))) \/ (-. (All X, ((-. (r1 Y X)) \/ ((p1 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ (-. (p1 Y)))))))))))) /\ (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (p1 X))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (p1 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)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (((p1 X) \/ ((All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))) /\ (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (p1 Y))))) \/ (-. (All X, ((-. (r1 Y 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)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (((p1 Y) \/ ((All X, ((-. (r1 Y X)) \/ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y)))))) \/ (-. (All X, ((-. (r1 Y X)) \/ ((p1 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ (-. (p1 Y)))))))))))) /\ (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (p1 X))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (p1 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)) \/ (((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ ((-. (p1 X)) \/ ((All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ ((-. (p1 Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ (-. (p1 Y))))) \/ (-. ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))))))) /\ (((p1 X) \/ ((All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))) /\ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (p1 Y))))) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X))))))) /\ ((All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ ((p1 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ (-. (p1 Y))))))))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X))))))))))))))))))))))))))))))) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (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)) \/ (p1 Y))) \/ ((All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X))))))))))))))))))))))))))))) /\ ((All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (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)) \/ (((p1 Y) \/ ((All X, ((-. (r1 Y X)) \/ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y)))))) \/ (-. (All X, ((-. (r1 Y X)) \/ ((p1 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ (-. (p1 Y)))))))))))) /\ (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (p1 X))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (p1 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)) \/ (((p1 X) \/ ((All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))) /\ (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (p1 Y))))) \/ (-. (All X, ((-. (r1 Y 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)) \/ (((p1 Y) \/ ((All X, ((-. (r1 Y X)) \/ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y)))))) \/ (-. (All X, ((-. (r1 Y X)) \/ ((p1 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ (-. (p1 Y)))))))))))) /\ (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (p1 X))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y)))))))))))))))))) /\ ((All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (((p1 X) \/ ((All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))) /\ (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (p1 Y))))) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))))))))))))) /\ ((All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (((p1 Y) \/ ((All X, ((-. (r1 Y X)) \/ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y)))))) \/ (-. (All X, ((-. (r1 Y X)) \/ ((p1 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ (-. (p1 Y)))))))))))) /\ (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (p1 X))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y)))))))))))))) /\ ((All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (((p1 X) \/ ((All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (-. (p1 X)))))))))))) /\ (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (p1 Y))))) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))))))))) /\ (All Y, ((-. (r1 X Y)) \/ (((p1 Y) \/ ((All X, ((-. (r1 Y X)) \/ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y)))))) \/ (-. (All X, ((-. (r1 Y X)) \/ ((p1 X) \/ (-. (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p1 X))) \/ (-. (p1 Y)))))))))))) /\ (All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (p1 X))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y))))))))))))))))))))))))))))) ### NotNot 119
% 6.96/7.12 % SZS output end Proof
% 6.96/7.12 (* END-PROOF *)
%------------------------------------------------------------------------------