TSTP Solution File: LCL672+1.010 by SuperZenon---0.0.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SuperZenon---0.0.1
% Problem  : LCL672+1.010 : 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 : n013.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 14:52:55 EDT 2022

% Result   : Theorem 16.13s 16.33s
% Output   : Proof 16.16s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : LCL672+1.010 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.12  % Command  : run_super_zenon -p0 -itptp -om -max-time %d %s
% 0.12/0.33  % Computer : n013.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Mon Jul  4 03:33:14 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 16.13/16.33  % SZS status Theorem
% 16.13/16.33  (* PROOF-FOUND *)
% 16.13/16.33  (* BEGIN-PROOF *)
% 16.13/16.33  % SZS output start Proof
% 16.13/16.33  1. (-. (All Y, ((-. (r1 T_0 Y)) \/ (p2 Y)))) (All Y, ((-. (r1 T_0 Y)) \/ (p2 Y)))   ### Axiom
% 16.13/16.33  2. (r1 T_0 T_1) (-. (r1 T_0 T_1))   ### Axiom
% 16.13/16.33  3. (T_2 != T_2)   ### Refl(=)
% 16.13/16.33  4. (-. (r1 T_0 T_2)) (r1 T_1 T_2) (r1 T_0 T_1)   ### Trans 2 3
% 16.13/16.33  5. (T_3 != T_3)   ### Refl(=)
% 16.13/16.33  6. (-. (r1 T_0 T_3)) (r1 T_2 T_3) (r1 T_0 T_1) (r1 T_1 T_2)   ### Trans 4 5
% 16.13/16.33  7. (T_4 != T_4)   ### Refl(=)
% 16.13/16.33  8. (-. (r1 T_0 T_4)) (r1 T_3 T_4) (r1 T_1 T_2) (r1 T_0 T_1) (r1 T_2 T_3)   ### Trans 6 7
% 16.13/16.33  9. (T_5 != T_5)   ### Refl(=)
% 16.13/16.33  10. (-. (r1 T_0 T_5)) (r1 T_4 T_5) (r1 T_2 T_3) (r1 T_0 T_1) (r1 T_1 T_2) (r1 T_3 T_4)   ### Trans 8 9
% 16.13/16.33  11. (r1 T_5 T_6) (-. (r1 T_5 T_6))   ### Axiom
% 16.13/16.33  12. (T_7 != T_7)   ### Refl(=)
% 16.13/16.33  13. (-. (r1 T_5 T_7)) (r1 T_6 T_7) (r1 T_5 T_6)   ### Trans 11 12
% 16.13/16.33  14. (T_8 != T_8)   ### Refl(=)
% 16.13/16.33  15. (-. (r1 T_5 T_8)) (r1 T_7 T_8) (r1 T_5 T_6) (r1 T_6 T_7)   ### Trans 13 14
% 16.13/16.33  16. (T_9 != T_9)   ### Refl(=)
% 16.13/16.33  17. (-. (r1 T_5 T_9)) (r1 T_8 T_9) (r1 T_6 T_7) (r1 T_5 T_6) (r1 T_7 T_8)   ### Trans 15 16
% 16.13/16.33  18. (T_10 != T_10)   ### Refl(=)
% 16.13/16.33  19. (-. (r1 T_5 T_10)) (r1 T_9 T_10) (r1 T_7 T_8) (r1 T_5 T_6) (r1 T_6 T_7) (r1 T_8 T_9)   ### Trans 17 18
% 16.13/16.33  20. (-. (All Y, ((-. (r1 T_10 Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X))))))) (All Y, ((-. (r1 T_10 Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X))))))   ### Axiom
% 16.13/16.33  21. (-. (All Y, ((-. (r1 T_10 Y)) \/ (p1 Y)))) (All Y, ((-. (r1 T_10 Y)) \/ (p1 Y)))   ### Axiom
% 16.13/16.33  22. ((-. (r1 T_5 T_10)) \/ (-. ((-. (All Y, ((-. (r1 T_10 Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X))))))) /\ (-. (All Y, ((-. (r1 T_10 Y)) \/ (p1 Y))))))) (-. (All Y, ((-. (r1 T_10 Y)) \/ (p1 Y)))) (-. (All Y, ((-. (r1 T_10 Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X))))))) (r1 T_8 T_9) (r1 T_6 T_7) (r1 T_5 T_6) (r1 T_7 T_8) (r1 T_9 T_10)   ### DisjTree 19 20 21
% 16.13/16.33  23. (All X, ((-. (r1 T_5 X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X))))))) /\ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y)))))))) (r1 T_9 T_10) (r1 T_7 T_8) (r1 T_5 T_6) (r1 T_6 T_7) (r1 T_8 T_9) (-. (All Y, ((-. (r1 T_10 Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X))))))) (-. (All Y, ((-. (r1 T_10 Y)) \/ (p1 Y))))   ### All 22
% 16.13/16.33  24. ((-. (r1 T_0 T_5)) \/ (All X, ((-. (r1 T_5 X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X))))))) /\ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y))))))))) (-. (All Y, ((-. (r1 T_10 Y)) \/ (p1 Y)))) (-. (All Y, ((-. (r1 T_10 Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X))))))) (r1 T_8 T_9) (r1 T_6 T_7) (r1 T_5 T_6) (r1 T_7 T_8) (r1 T_9 T_10) (r1 T_3 T_4) (r1 T_1 T_2) (r1 T_0 T_1) (r1 T_2 T_3) (r1 T_4 T_5)   ### Or 10 23
% 16.13/16.33  25. (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)) \/ (p1 Y)))))))))) (r1 T_4 T_5) (r1 T_2 T_3) (r1 T_0 T_1) (r1 T_1 T_2) (r1 T_3 T_4) (r1 T_9 T_10) (r1 T_7 T_8) (r1 T_5 T_6) (r1 T_6 T_7) (r1 T_8 T_9) (-. (All Y, ((-. (r1 T_10 Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X))))))) (-. (All Y, ((-. (r1 T_10 Y)) \/ (p1 Y))))   ### All 24
% 16.13/16.33  26. (-. (All Y, ((-. (r1 T_0 Y)) \/ (p1 Y)))) (All Y, ((-. (r1 T_0 Y)) \/ (p1 Y)))   ### Axiom
% 16.13/16.33  27. (-. ((-. (All Y, ((-. (r1 T_0 Y)) \/ (p2 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)) \/ (p1 Y))))))))))) /\ (-. (All Y, ((-. (r1 T_0 Y)) \/ (p1 Y))))))) (-. (All Y, ((-. (r1 T_0 Y)) \/ (p1 Y)))) (-. (All Y, ((-. (r1 T_10 Y)) \/ (p1 Y)))) (-. (All Y, ((-. (r1 T_10 Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X))))))) (r1 T_8 T_9) (r1 T_6 T_7) (r1 T_5 T_6) (r1 T_7 T_8) (r1 T_9 T_10) (r1 T_3 T_4) (r1 T_1 T_2) (r1 T_0 T_1) (r1 T_2 T_3) (r1 T_4 T_5) (-. (All Y, ((-. (r1 T_0 Y)) \/ (p2 Y))))   ### DisjTree 1 25 26
% 16.13/16.33  28. (-. ((-. (r1 T_9 T_10)) \/ ((All Y, ((-. (r1 T_10 Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))) \/ (All Y, ((-. (r1 T_10 Y)) \/ (p1 Y)))))) (-. (All Y, ((-. (r1 T_0 Y)) \/ (p2 Y)))) (r1 T_4 T_5) (r1 T_2 T_3) (r1 T_0 T_1) (r1 T_1 T_2) (r1 T_3 T_4) (r1 T_7 T_8) (r1 T_5 T_6) (r1 T_6 T_7) (r1 T_8 T_9) (-. (All Y, ((-. (r1 T_0 Y)) \/ (p1 Y)))) (-. ((-. (All Y, ((-. (r1 T_0 Y)) \/ (p2 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)) \/ (p1 Y))))))))))) /\ (-. (All Y, ((-. (r1 T_0 Y)) \/ (p1 Y)))))))   ### ConjTree 27
% 16.13/16.33  29. (-. (All X, ((-. (r1 T_9 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)) \/ (p2 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)) \/ (p1 Y))))))))))) /\ (-. (All Y, ((-. (r1 T_0 Y)) \/ (p1 Y))))))) (-. (All Y, ((-. (r1 T_0 Y)) \/ (p1 Y)))) (r1 T_8 T_9) (r1 T_6 T_7) (r1 T_5 T_6) (r1 T_7 T_8) (r1 T_3 T_4) (r1 T_1 T_2) (r1 T_0 T_1) (r1 T_2 T_3) (r1 T_4 T_5) (-. (All Y, ((-. (r1 T_0 Y)) \/ (p2 Y))))   ### NotAllEx 28
% 16.13/16.33  30. (-. ((-. (r1 T_8 T_9)) \/ ((All X, ((-. (r1 T_9 X)) \/ (p2 X))) \/ ((All X, ((-. (r1 T_9 X)) \/ ((All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))) \/ (All Y, ((-. (r1 X Y)) \/ (p1 Y)))))) \/ (All X, ((-. (r1 T_9 X)) \/ (p1 X))))))) (-. (All Y, ((-. (r1 T_0 Y)) \/ (p2 Y)))) (r1 T_4 T_5) (r1 T_2 T_3) (r1 T_0 T_1) (r1 T_1 T_2) (r1 T_3 T_4) (r1 T_7 T_8) (r1 T_5 T_6) (r1 T_6 T_7) (-. (All Y, ((-. (r1 T_0 Y)) \/ (p1 Y)))) (-. ((-. (All Y, ((-. (r1 T_0 Y)) \/ (p2 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)) \/ (p1 Y))))))))))) /\ (-. (All Y, ((-. (r1 T_0 Y)) \/ (p1 Y)))))))   ### ConjTree 29
% 16.13/16.33  31. (-. (All Y, ((-. (r1 T_8 Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ ((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 X, ((-. (r1 Y X)) \/ (p1 X)))))))) (-. ((-. (All Y, ((-. (r1 T_0 Y)) \/ (p2 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)) \/ (p1 Y))))))))))) /\ (-. (All Y, ((-. (r1 T_0 Y)) \/ (p1 Y))))))) (-. (All Y, ((-. (r1 T_0 Y)) \/ (p1 Y)))) (r1 T_6 T_7) (r1 T_5 T_6) (r1 T_7 T_8) (r1 T_3 T_4) (r1 T_1 T_2) (r1 T_0 T_1) (r1 T_2 T_3) (r1 T_4 T_5) (-. (All Y, ((-. (r1 T_0 Y)) \/ (p2 Y))))   ### NotAllEx 30
% 16.13/16.33  32. (-. ((-. (r1 T_7 T_8)) \/ ((All Y, ((-. (r1 T_8 Y)) \/ (p2 Y))) \/ ((All Y, ((-. (r1 T_8 Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ ((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 X, ((-. (r1 Y X)) \/ (p1 X))))))) \/ (All Y, ((-. (r1 T_8 Y)) \/ (p1 Y))))))) (-. (All Y, ((-. (r1 T_0 Y)) \/ (p2 Y)))) (r1 T_4 T_5) (r1 T_2 T_3) (r1 T_0 T_1) (r1 T_1 T_2) (r1 T_3 T_4) (r1 T_5 T_6) (r1 T_6 T_7) (-. (All Y, ((-. (r1 T_0 Y)) \/ (p1 Y)))) (-. ((-. (All Y, ((-. (r1 T_0 Y)) \/ (p2 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)) \/ (p1 Y))))))))))) /\ (-. (All Y, ((-. (r1 T_0 Y)) \/ (p1 Y)))))))   ### ConjTree 31
% 16.13/16.33  33. (-. (All X, ((-. (r1 T_7 X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ ((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 X, ((-. (r1 Y X)) \/ (p1 X))))))) \/ (All Y, ((-. (r1 X Y)) \/ (p1 Y)))))))) (-. ((-. (All Y, ((-. (r1 T_0 Y)) \/ (p2 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)) \/ (p1 Y))))))))))) /\ (-. (All Y, ((-. (r1 T_0 Y)) \/ (p1 Y))))))) (-. (All Y, ((-. (r1 T_0 Y)) \/ (p1 Y)))) (r1 T_6 T_7) (r1 T_5 T_6) (r1 T_3 T_4) (r1 T_1 T_2) (r1 T_0 T_1) (r1 T_2 T_3) (r1 T_4 T_5) (-. (All Y, ((-. (r1 T_0 Y)) \/ (p2 Y))))   ### NotAllEx 32
% 16.16/16.35  34. (-. ((-. (r1 T_6 T_7)) \/ ((All X, ((-. (r1 T_7 X)) \/ (p2 X))) \/ ((All X, ((-. (r1 T_7 X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ ((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 X, ((-. (r1 Y X)) \/ (p1 X))))))) \/ (All Y, ((-. (r1 X Y)) \/ (p1 Y))))))) \/ (All X, ((-. (r1 T_7 X)) \/ (p1 X))))))) (-. (All Y, ((-. (r1 T_0 Y)) \/ (p2 Y)))) (r1 T_4 T_5) (r1 T_2 T_3) (r1 T_0 T_1) (r1 T_1 T_2) (r1 T_3 T_4) (r1 T_5 T_6) (-. (All Y, ((-. (r1 T_0 Y)) \/ (p1 Y)))) (-. ((-. (All Y, ((-. (r1 T_0 Y)) \/ (p2 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)) \/ (p1 Y))))))))))) /\ (-. (All Y, ((-. (r1 T_0 Y)) \/ (p1 Y)))))))   ### ConjTree 33
% 16.16/16.35  35. (-. (All Y, ((-. (r1 T_6 Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ ((All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ ((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 X, ((-. (r1 Y X)) \/ (p1 X))))))) \/ (All Y, ((-. (r1 X Y)) \/ (p1 Y))))))) \/ (All X, ((-. (r1 Y X)) \/ (p1 X)))))))) (-. ((-. (All Y, ((-. (r1 T_0 Y)) \/ (p2 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)) \/ (p1 Y))))))))))) /\ (-. (All Y, ((-. (r1 T_0 Y)) \/ (p1 Y))))))) (-. (All Y, ((-. (r1 T_0 Y)) \/ (p1 Y)))) (r1 T_5 T_6) (r1 T_3 T_4) (r1 T_1 T_2) (r1 T_0 T_1) (r1 T_2 T_3) (r1 T_4 T_5) (-. (All Y, ((-. (r1 T_0 Y)) \/ (p2 Y))))   ### NotAllEx 34
% 16.16/16.35  36. (-. ((-. (r1 T_5 T_6)) \/ ((All Y, ((-. (r1 T_6 Y)) \/ (p2 Y))) \/ ((All Y, ((-. (r1 T_6 Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ ((All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ ((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 X, ((-. (r1 Y X)) \/ (p1 X))))))) \/ (All Y, ((-. (r1 X Y)) \/ (p1 Y))))))) \/ (All X, ((-. (r1 Y X)) \/ (p1 X))))))) \/ (All Y, ((-. (r1 T_6 Y)) \/ (p1 Y))))))) (-. (All Y, ((-. (r1 T_0 Y)) \/ (p2 Y)))) (r1 T_4 T_5) (r1 T_2 T_3) (r1 T_0 T_1) (r1 T_1 T_2) (r1 T_3 T_4) (-. (All Y, ((-. (r1 T_0 Y)) \/ (p1 Y)))) (-. ((-. (All Y, ((-. (r1 T_0 Y)) \/ (p2 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)) \/ (p1 Y))))))))))) /\ (-. (All Y, ((-. (r1 T_0 Y)) \/ (p1 Y)))))))   ### ConjTree 35
% 16.16/16.35  37. (-. (All X, ((-. (r1 T_5 X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ ((All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ ((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 X, ((-. (r1 Y X)) \/ (p1 X))))))) \/ (All Y, ((-. (r1 X Y)) \/ (p1 Y))))))) \/ (All X, ((-. (r1 Y X)) \/ (p1 X))))))) \/ (All Y, ((-. (r1 X Y)) \/ (p1 Y)))))))) (-. ((-. (All Y, ((-. (r1 T_0 Y)) \/ (p2 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)) \/ (p1 Y))))))))))) /\ (-. (All Y, ((-. (r1 T_0 Y)) \/ (p1 Y))))))) (-. (All Y, ((-. (r1 T_0 Y)) \/ (p1 Y)))) (r1 T_3 T_4) (r1 T_1 T_2) (r1 T_0 T_1) (r1 T_2 T_3) (r1 T_4 T_5) (-. (All Y, ((-. (r1 T_0 Y)) \/ (p2 Y))))   ### NotAllEx 36
% 16.16/16.35  38. (-. ((-. (r1 T_4 T_5)) \/ ((All X, ((-. (r1 T_5 X)) \/ (p2 X))) \/ ((All X, ((-. (r1 T_5 X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ ((All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ ((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 X, ((-. (r1 Y X)) \/ (p1 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 T_5 X)) \/ (p1 X))))))) (-. (All Y, ((-. (r1 T_0 Y)) \/ (p2 Y)))) (r1 T_2 T_3) (r1 T_0 T_1) (r1 T_1 T_2) (r1 T_3 T_4) (-. (All Y, ((-. (r1 T_0 Y)) \/ (p1 Y)))) (-. ((-. (All Y, ((-. (r1 T_0 Y)) \/ (p2 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)) \/ (p1 Y))))))))))) /\ (-. (All Y, ((-. (r1 T_0 Y)) \/ (p1 Y)))))))   ### ConjTree 37
% 16.16/16.35  39. (-. (All Y, ((-. (r1 T_4 Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ ((All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ ((All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ ((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 X, ((-. (r1 Y X)) \/ (p1 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)) \/ (p1 X)))))))) (-. ((-. (All Y, ((-. (r1 T_0 Y)) \/ (p2 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)) \/ (p1 Y))))))))))) /\ (-. (All Y, ((-. (r1 T_0 Y)) \/ (p1 Y))))))) (-. (All Y, ((-. (r1 T_0 Y)) \/ (p1 Y)))) (r1 T_3 T_4) (r1 T_1 T_2) (r1 T_0 T_1) (r1 T_2 T_3) (-. (All Y, ((-. (r1 T_0 Y)) \/ (p2 Y))))   ### NotAllEx 38
% 16.16/16.35  40. (-. ((-. (r1 T_3 T_4)) \/ ((All Y, ((-. (r1 T_4 Y)) \/ (p2 Y))) \/ ((All Y, ((-. (r1 T_4 Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ ((All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ ((All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ ((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 X, ((-. (r1 Y X)) \/ (p1 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)) \/ (p1 X))))))) \/ (All Y, ((-. (r1 T_4 Y)) \/ (p1 Y))))))) (-. (All Y, ((-. (r1 T_0 Y)) \/ (p2 Y)))) (r1 T_2 T_3) (r1 T_0 T_1) (r1 T_1 T_2) (-. (All Y, ((-. (r1 T_0 Y)) \/ (p1 Y)))) (-. ((-. (All Y, ((-. (r1 T_0 Y)) \/ (p2 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)) \/ (p1 Y))))))))))) /\ (-. (All Y, ((-. (r1 T_0 Y)) \/ (p1 Y)))))))   ### ConjTree 39
% 16.16/16.35  41. (-. (All X, ((-. (r1 T_3 X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ ((All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ ((All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ ((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 X, ((-. (r1 Y X)) \/ (p1 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)) \/ (p1 X))))))) \/ (All Y, ((-. (r1 X Y)) \/ (p1 Y)))))))) (-. ((-. (All Y, ((-. (r1 T_0 Y)) \/ (p2 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)) \/ (p1 Y))))))))))) /\ (-. (All Y, ((-. (r1 T_0 Y)) \/ (p1 Y))))))) (-. (All Y, ((-. (r1 T_0 Y)) \/ (p1 Y)))) (r1 T_1 T_2) (r1 T_0 T_1) (r1 T_2 T_3) (-. (All Y, ((-. (r1 T_0 Y)) \/ (p2 Y))))   ### NotAllEx 40
% 16.16/16.36  42. (-. ((-. (r1 T_2 T_3)) \/ ((All X, ((-. (r1 T_3 X)) \/ (p2 X))) \/ ((All X, ((-. (r1 T_3 X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ ((All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ ((All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ ((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 X, ((-. (r1 Y X)) \/ (p1 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)) \/ (p1 X))))))) \/ (All Y, ((-. (r1 X Y)) \/ (p1 Y))))))) \/ (All X, ((-. (r1 T_3 X)) \/ (p1 X))))))) (-. (All Y, ((-. (r1 T_0 Y)) \/ (p2 Y)))) (r1 T_0 T_1) (r1 T_1 T_2) (-. (All Y, ((-. (r1 T_0 Y)) \/ (p1 Y)))) (-. ((-. (All Y, ((-. (r1 T_0 Y)) \/ (p2 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)) \/ (p1 Y))))))))))) /\ (-. (All Y, ((-. (r1 T_0 Y)) \/ (p1 Y)))))))   ### ConjTree 41
% 16.16/16.36  43. (-. (All Y, ((-. (r1 T_2 Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ ((All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ ((All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ ((All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ ((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 X, ((-. (r1 Y X)) \/ (p1 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)) \/ (p1 X))))))) \/ (All Y, ((-. (r1 X Y)) \/ (p1 Y))))))) \/ (All X, ((-. (r1 Y X)) \/ (p1 X)))))))) (-. ((-. (All Y, ((-. (r1 T_0 Y)) \/ (p2 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)) \/ (p1 Y))))))))))) /\ (-. (All Y, ((-. (r1 T_0 Y)) \/ (p1 Y))))))) (-. (All Y, ((-. (r1 T_0 Y)) \/ (p1 Y)))) (r1 T_1 T_2) (r1 T_0 T_1) (-. (All Y, ((-. (r1 T_0 Y)) \/ (p2 Y))))   ### NotAllEx 42
% 16.16/16.36  44. (-. ((-. (r1 T_1 T_2)) \/ ((All Y, ((-. (r1 T_2 Y)) \/ (p2 Y))) \/ ((All Y, ((-. (r1 T_2 Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ ((All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ ((All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ ((All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ ((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 X, ((-. (r1 Y X)) \/ (p1 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)) \/ (p1 X))))))) \/ (All Y, ((-. (r1 X Y)) \/ (p1 Y))))))) \/ (All X, ((-. (r1 Y X)) \/ (p1 X))))))) \/ (All Y, ((-. (r1 T_2 Y)) \/ (p1 Y))))))) (-. (All Y, ((-. (r1 T_0 Y)) \/ (p2 Y)))) (r1 T_0 T_1) (-. (All Y, ((-. (r1 T_0 Y)) \/ (p1 Y)))) (-. ((-. (All Y, ((-. (r1 T_0 Y)) \/ (p2 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)) \/ (p1 Y))))))))))) /\ (-. (All Y, ((-. (r1 T_0 Y)) \/ (p1 Y)))))))   ### ConjTree 43
% 16.16/16.36  45. (-. (All X, ((-. (r1 T_1 X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ ((All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ ((All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ ((All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ ((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 X, ((-. (r1 Y X)) \/ (p1 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)) \/ (p1 X))))))) \/ (All Y, ((-. (r1 X Y)) \/ (p1 Y))))))) \/ (All X, ((-. (r1 Y X)) \/ (p1 X))))))) \/ (All Y, ((-. (r1 X Y)) \/ (p1 Y)))))))) (-. ((-. (All Y, ((-. (r1 T_0 Y)) \/ (p2 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)) \/ (p1 Y))))))))))) /\ (-. (All Y, ((-. (r1 T_0 Y)) \/ (p1 Y))))))) (-. (All Y, ((-. (r1 T_0 Y)) \/ (p1 Y)))) (r1 T_0 T_1) (-. (All Y, ((-. (r1 T_0 Y)) \/ (p2 Y))))   ### NotAllEx 44
% 16.16/16.36  46. (-. ((-. (r1 T_0 T_1)) \/ ((All X, ((-. (r1 T_1 X)) \/ (p2 X))) \/ ((All X, ((-. (r1 T_1 X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ ((All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ ((All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ ((All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ ((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 X, ((-. (r1 Y X)) \/ (p1 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)) \/ (p1 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 T_1 X)) \/ (p1 X))))))) (-. (All Y, ((-. (r1 T_0 Y)) \/ (p2 Y)))) (-. (All Y, ((-. (r1 T_0 Y)) \/ (p1 Y)))) (-. ((-. (All Y, ((-. (r1 T_0 Y)) \/ (p2 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)) \/ (p1 Y))))))))))) /\ (-. (All Y, ((-. (r1 T_0 Y)) \/ (p1 Y)))))))   ### ConjTree 45
% 16.16/16.36  47. (-. (All Y, ((-. (r1 T_0 Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ ((All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ ((All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ ((All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ ((All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ ((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 X, ((-. (r1 Y X)) \/ (p1 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)) \/ (p1 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)) \/ (p1 X)))))))) (-. ((-. (All Y, ((-. (r1 T_0 Y)) \/ (p2 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)) \/ (p1 Y))))))))))) /\ (-. (All Y, ((-. (r1 T_0 Y)) \/ (p1 Y))))))) (-. (All Y, ((-. (r1 T_0 Y)) \/ (p1 Y)))) (-. (All Y, ((-. (r1 T_0 Y)) \/ (p2 Y))))   ### NotAllEx 46
% 16.16/16.40  48. (-. (((-. (All Y, ((-. (r1 T_0 Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 T_0 Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. (p1 X)))))))) /\ (p1 X)))))) /\ (-. (All X, ((-. (r1 Y X)) \/ (p1 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)) \/ (p1 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)) \/ (p1 X)))))))))) /\ (-. (All Y, ((-. (r1 T_0 Y)) \/ (p1 Y)))))) \/ (((-. (All Y, ((-. (r1 T_0 Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 T_0 Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (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)) \/ (p1 X))))))))))) /\ (-. (All X, ((-. (r1 Y X)) \/ (p1 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)) \/ (p1 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)) \/ (p1 X)))))))))) /\ (-. (All Y, ((-. (r1 T_0 Y)) \/ (p1 Y)))))) \/ (((-. (All Y, ((-. (r1 T_0 Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 T_0 Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (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 X, ((-. (r1 Y X)) \/ (p1 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)) \/ (p1 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)) \/ (p1 X)))))))))) /\ (-. (All Y, ((-. (r1 T_0 Y)) \/ (p1 Y)))))) \/ (((-. (All Y, ((-. (r1 T_0 Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 T_0 Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. (All Y, ((-. (r1 X Y)) \/ False)))))) /\ (-. (All X, ((-. (r1 Y X)) \/ (p1 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)) \/ (p1 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)) \/ (p1 X)))))))))) /\ (-. (All Y, ((-. (r1 T_0 Y)) \/ (p1 Y)))))) \/ ((All Y, ((-. (r1 T_0 Y)) \/ (p2 Y))) \/ ((All Y, ((-. (r1 T_0 Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ ((All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ ((All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ ((All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ ((All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ ((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 X, ((-. (r1 Y X)) \/ (p1 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)) \/ (p1 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)) \/ (p1 X))))))) \/ ((All Y, ((-. (r1 T_0 Y)) \/ (p1 Y))) \/ (((-. (All Y, ((-. (r1 T_0 Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 T_0 Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (p1 Y)))))))) /\ (p1 Y)))))) /\ (-. (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)) \/ (p1 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)) \/ (p1 X)))))))))) /\ (-. (All Y, ((-. (r1 T_0 Y)) \/ (p1 Y)))))) \/ (((-. (All Y, ((-. (r1 T_0 Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 T_0 Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 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)) \/ (p1 Y))))))))))) /\ (-. (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)) \/ (p1 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)) \/ (p1 X)))))))))) /\ (-. (All Y, ((-. (r1 T_0 Y)) \/ (p1 Y)))))) \/ (((-. (All Y, ((-. (r1 T_0 Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 T_0 Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))))))) /\ (-. (All X, ((-. (r1 Y X)) \/ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y)))))))))))) /\ (-. (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)) \/ (p1 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)) \/ (p1 X)))))))))) /\ (-. (All Y, ((-. (r1 T_0 Y)) \/ (p1 Y)))))) \/ (((-. (All Y, ((-. (r1 T_0 Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 T_0 Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ False)))))) /\ (-. (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)) \/ (p1 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)) \/ (p1 X)))))))))) /\ (-. (All Y, ((-. (r1 T_0 Y)) \/ (p1 Y)))))) \/ ((All Y, ((-. (r1 T_0 Y)) \/ (p2 Y))) \/ ((All Y, ((-. (r1 T_0 Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ ((All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ ((All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ ((All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ ((All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ ((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 X, ((-. (r1 Y X)) \/ (p1 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)) \/ (p1 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)) \/ (p1 X))))))) \/ ((All Y, ((-. (r1 T_0 Y)) \/ (p1 Y))) \/ (((-. (All Y, ((-. (r1 T_0 Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 T_0 Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. (p1 X)))))))) /\ (p1 X)))))) /\ (-. (All X, ((-. (r1 Y X)) \/ (p1 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)) \/ (p1 X)))))))))) /\ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y)))))))))) /\ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))))))) /\ (-. (All Y, ((-. (r1 T_0 Y)) \/ (p1 Y)))))) \/ (((-. (All Y, ((-. (r1 T_0 Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 T_0 Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (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)) \/ (p1 X))))))))))) /\ (-. (All X, ((-. (r1 Y X)) \/ (p1 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)) \/ (p1 X)))))))))) /\ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y)))))))))) /\ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))))))) /\ (-. (All Y, ((-. (r1 T_0 Y)) \/ (p1 Y)))))) \/ (((-. (All Y, ((-. (r1 T_0 Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 T_0 Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (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 X, ((-. (r1 Y X)) \/ (p1 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)) \/ (p1 X)))))))))) /\ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y)))))))))) /\ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))))))) /\ (-. (All Y, ((-. (r1 T_0 Y)) \/ (p1 Y)))))) \/ (((-. (All Y, ((-. (r1 T_0 Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 T_0 Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. (All Y, ((-. (r1 X Y)) \/ False)))))) /\ (-. (All X, ((-. (r1 Y X)) \/ (p1 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)) \/ (p1 X)))))))))) /\ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y)))))))))) /\ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))))))) /\ (-. (All Y, ((-. (r1 T_0 Y)) \/ (p1 Y)))))) \/ ((All Y, ((-. (r1 T_0 Y)) \/ (p2 Y))) \/ ((All Y, ((-. (r1 T_0 Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ ((All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ ((All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ ((All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ ((All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ ((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 X, ((-. (r1 Y X)) \/ (p1 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)) \/ (p1 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)) \/ (p1 X))))))) \/ ((All Y, ((-. (r1 T_0 Y)) \/ (p1 Y))) \/ (((-. (All Y, ((-. (r1 T_0 Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 T_0 Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (p1 Y)))))))) /\ (p1 Y)))))) /\ (-. (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)) \/ (p1 X)))))))))) /\ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y)))))))))) /\ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))))))) /\ (-. (All Y, ((-. (r1 T_0 Y)) \/ (p1 Y)))))) \/ (((-. (All Y, ((-. (r1 T_0 Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 T_0 Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 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)) \/ (p1 Y))))))))))) /\ (-. (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)) \/ (p1 X)))))))))) /\ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y)))))))))) /\ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))))))) /\ (-. (All Y, ((-. (r1 T_0 Y)) \/ (p1 Y)))))) \/ (((-. (All Y, ((-. (r1 T_0 Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 T_0 Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))))))) /\ (-. (All X, ((-. (r1 Y X)) \/ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y)))))))))))) /\ (-. (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)) \/ (p1 X)))))))))) /\ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y)))))))))) /\ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))))))) /\ (-. (All Y, ((-. (r1 T_0 Y)) \/ (p1 Y)))))) \/ (((-. (All Y, ((-. (r1 T_0 Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 T_0 Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ False)))))) /\ (-. (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)) \/ (p1 X)))))))))) /\ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y)))))))))) /\ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))))))) /\ (-. (All Y, ((-. (r1 T_0 Y)) \/ (p1 Y)))))) \/ ((All Y, ((-. (r1 T_0 Y)) \/ (p2 Y))) \/ ((All Y, ((-. (r1 T_0 Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ ((All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ ((All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ ((All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ ((All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ ((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 X, ((-. (r1 Y X)) \/ (p1 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)) \/ (p1 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)) \/ (p1 X))))))) \/ ((All Y, ((-. (r1 T_0 Y)) \/ (p1 Y))) \/ (((-. (All Y, ((-. (r1 T_0 Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 T_0 Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. (p1 X)))))))) /\ (p1 X)))))) /\ (-. (All X, ((-. (r1 Y X)) \/ (p1 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)) \/ (p1 X)))))))))) /\ (-. (All Y, ((-. (r1 T_0 Y)) \/ (p1 Y)))))) \/ (((-. (All Y, ((-. (r1 T_0 Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 T_0 Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (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)) \/ (p1 X))))))))))) /\ (-. (All X, ((-. (r1 Y X)) \/ (p1 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)) \/ (p1 X)))))))))) /\ (-. (All Y, ((-. (r1 T_0 Y)) \/ (p1 Y)))))) \/ (((-. (All Y, ((-. (r1 T_0 Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 T_0 Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (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 X, ((-. (r1 Y X)) \/ (p1 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)) \/ (p1 X)))))))))) /\ (-. (All Y, ((-. (r1 T_0 Y)) \/ (p1 Y)))))) \/ (((-. (All Y, ((-. (r1 T_0 Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 T_0 Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. (All Y, ((-. (r1 X Y)) \/ False)))))) /\ (-. (All X, ((-. (r1 Y X)) \/ (p1 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)) \/ (p1 X)))))))))) /\ (-. (All Y, ((-. (r1 T_0 Y)) \/ (p1 Y)))))) \/ ((All Y, ((-. (r1 T_0 Y)) \/ (p2 Y))) \/ ((All Y, ((-. (r1 T_0 Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ ((All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ ((All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ ((All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ ((All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ ((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 X, ((-. (r1 Y X)) \/ (p1 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)) \/ (p1 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)) \/ (p1 X))))))) \/ ((All Y, ((-. (r1 T_0 Y)) \/ (p1 Y))) \/ (((-. (All Y, ((-. (r1 T_0 Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 T_0 Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (p1 Y)))))))) /\ (p1 Y)))))) /\ (-. (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)) \/ (p1 X)))))))))) /\ (-. (All Y, ((-. (r1 T_0 Y)) \/ (p1 Y)))))) \/ (((-. (All Y, ((-. (r1 T_0 Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 T_0 Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 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)) \/ (p1 Y))))))))))) /\ (-. (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)) \/ (p1 X)))))))))) /\ (-. (All Y, ((-. (r1 T_0 Y)) \/ (p1 Y)))))) \/ (((-. (All Y, ((-. (r1 T_0 Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 T_0 Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))))))) /\ (-. (All X, ((-. (r1 Y X)) \/ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y)))))))))))) /\ (-. (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)) \/ (p1 X)))))))))) /\ (-. (All Y, ((-. (r1 T_0 Y)) \/ (p1 Y)))))) \/ (((-. (All Y, ((-. (r1 T_0 Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 T_0 Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ False)))))) /\ (-. (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)) \/ (p1 X)))))))))) /\ (-. (All Y, ((-. (r1 T_0 Y)) \/ (p1 Y)))))) \/ ((All Y, ((-. (r1 T_0 Y)) \/ (p2 Y))) \/ ((All Y, ((-. (r1 T_0 Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ ((All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ ((All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ ((All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ ((All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ ((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 X, ((-. (r1 Y X)) \/ (p1 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)) \/ (p1 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)) \/ (p1 X))))))) \/ ((All Y, ((-. (r1 T_0 Y)) \/ (p1 Y))) \/ (((-. (All Y, ((-. (r1 T_0 Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 T_0 Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. (p1 X)))))))) /\ (p1 X)))))) /\ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))))))) /\ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y)))))))))) /\ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))))))) /\ (-. (All Y, ((-. (r1 T_0 Y)) \/ (p1 Y)))))) \/ (((-. (All Y, ((-. (r1 T_0 Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 T_0 Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (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)) \/ (p1 X))))))))))) /\ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))))))) /\ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y)))))))))) /\ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))))))) /\ (-. (All Y, ((-. (r1 T_0 Y)) \/ (p1 Y)))))) \/ (((-. (All Y, ((-. (r1 T_0 Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 T_0 Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (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 X, ((-. (r1 Y X)) \/ (p1 X)))))))))) /\ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y)))))))))) /\ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))))))) /\ (-. (All Y, ((-. (r1 T_0 Y)) \/ (p1 Y)))))) \/ (((-. (All Y, ((-. (r1 T_0 Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 T_0 Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. (All Y, ((-. (r1 X Y)) \/ False)))))) /\ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))))))) /\ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y)))))))))) /\ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))))))) /\ (-. (All Y, ((-. (r1 T_0 Y)) \/ (p1 Y)))))) \/ ((All Y, ((-. (r1 T_0 Y)) \/ (p2 Y))) \/ ((All Y, ((-. (r1 T_0 Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ ((All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ ((All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ ((All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ ((All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ ((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 X, ((-. (r1 Y X)) \/ (p1 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)) \/ (p1 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)) \/ (p1 X))))))) \/ ((All Y, ((-. (r1 T_0 Y)) \/ (p1 Y))) \/ (((-. (All Y, ((-. (r1 T_0 Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 T_0 Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (p1 Y)))))))) /\ (p1 Y)))))) /\ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y)))))))))) /\ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))))))) /\ (-. (All Y, ((-. (r1 T_0 Y)) \/ (p1 Y)))))) \/ (((-. (All Y, ((-. (r1 T_0 Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 T_0 Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 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)) \/ (p1 Y))))))))))) /\ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y)))))))))) /\ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))))))) /\ (-. (All Y, ((-. (r1 T_0 Y)) \/ (p1 Y)))))) \/ (((-. (All Y, ((-. (r1 T_0 Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 T_0 Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))))))) /\ (-. (All X, ((-. (r1 Y X)) \/ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y)))))))))))) /\ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y)))))))))) /\ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))))))) /\ (-. (All Y, ((-. (r1 T_0 Y)) \/ (p1 Y)))))) \/ (((-. (All Y, ((-. (r1 T_0 Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 T_0 Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ False)))))) /\ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y)))))))))) /\ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))))))) /\ (-. (All Y, ((-. (r1 T_0 Y)) \/ (p1 Y)))))) \/ ((All Y, ((-. (r1 T_0 Y)) \/ (p2 Y))) \/ ((All Y, ((-. (r1 T_0 Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ ((All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ ((All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ ((All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ ((All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ ((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 X, ((-. (r1 Y X)) \/ (p1 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)) \/ (p1 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)) \/ (p1 X))))))) \/ ((All Y, ((-. (r1 T_0 Y)) \/ (p1 Y))) \/ (((-. (All Y, ((-. (r1 T_0 Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 T_0 Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. (p1 X)))))))) /\ (p1 X)))))) /\ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))))))) /\ (-. (All Y, ((-. (r1 T_0 Y)) \/ (p1 Y)))))) \/ (((-. (All Y, ((-. (r1 T_0 Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 T_0 Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (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)) \/ (p1 X))))))))))) /\ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))))))) /\ (-. (All Y, ((-. (r1 T_0 Y)) \/ (p1 Y)))))) \/ (((-. (All Y, ((-. (r1 T_0 Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 T_0 Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (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 X, ((-. (r1 Y X)) \/ (p1 X)))))))))) /\ (-. (All Y, ((-. (r1 T_0 Y)) \/ (p1 Y)))))) \/ (((-. (All Y, ((-. (r1 T_0 Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 T_0 Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. (All Y, ((-. (r1 X Y)) \/ False)))))) /\ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))))))) /\ (-. (All Y, ((-. (r1 T_0 Y)) \/ (p1 Y)))))) \/ ((All Y, ((-. (r1 T_0 Y)) \/ (p2 Y))) \/ ((All Y, ((-. (r1 T_0 Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ ((All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ ((All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ ((All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ ((All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ ((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 X, ((-. (r1 Y X)) \/ (p1 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)) \/ (p1 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)) \/ (p1 X))))))) \/ ((All Y, ((-. (r1 T_0 Y)) \/ (p1 Y))) \/ (((-. (All Y, ((-. (r1 T_0 Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 T_0 Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (p1 Y)))))))) /\ (p1 Y)))))) /\ (-. (All Y, ((-. (r1 T_0 Y)) \/ (p1 Y)))))) \/ (((-. (All Y, ((-. (r1 T_0 Y)) \/ (p2 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)) \/ (p1 Y))))))))))) /\ (-. (All Y, ((-. (r1 T_0 Y)) \/ (p1 Y)))))) \/ (((-. (All Y, ((-. (r1 T_0 Y)) \/ (p2 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 X, ((-. (r1 Y X)) \/ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y)))))))))))) /\ (-. (All Y, ((-. (r1 T_0 Y)) \/ (p1 Y)))))) \/ (((-. (All Y, ((-. (r1 T_0 Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 T_0 Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ False)))))) /\ (-. (All Y, ((-. (r1 T_0 Y)) \/ (p1 Y)))))) \/ ((All Y, ((-. (r1 T_0 Y)) \/ (p2 Y))) \/ ((All Y, ((-. (r1 T_0 Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ ((All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ ((All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ ((All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ ((All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ ((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 X, ((-. (r1 Y X)) \/ (p1 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)) \/ (p1 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)) \/ (p1 X))))))) \/ (All Y, ((-. (r1 T_0 Y)) \/ (p1 Y)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))   ### ConjTree 47
% 16.16/16.40  49. (Ex X, (-. (((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. (p1 X)))))))) /\ (p1 X)))))) /\ (-. (All X, ((-. (r1 Y X)) \/ (p1 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)) \/ (p1 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)) \/ (p1 X)))))))))) /\ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y)))))) \/ (((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (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)) \/ (p1 X))))))))))) /\ (-. (All X, ((-. (r1 Y X)) \/ (p1 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)) \/ (p1 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)) \/ (p1 X)))))))))) /\ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y)))))) \/ (((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (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 X, ((-. (r1 Y X)) \/ (p1 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)) \/ (p1 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)) \/ (p1 X)))))))))) /\ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y)))))) \/ (((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. (All Y, ((-. (r1 X Y)) \/ False)))))) /\ (-. (All X, ((-. (r1 Y X)) \/ (p1 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)) \/ (p1 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)) \/ (p1 X)))))))))) /\ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y)))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ ((All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ ((All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ ((All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ ((All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ ((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 X, ((-. (r1 Y X)) \/ (p1 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)) \/ (p1 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)) \/ (p1 X))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (p1 Y)))))))) /\ (p1 Y)))))) /\ (-. (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)) \/ (p1 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)) \/ (p1 X)))))))))) /\ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y)))))) \/ (((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 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)) \/ (p1 Y))))))))))) /\ (-. (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)) \/ (p1 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)) \/ (p1 X)))))))))) /\ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y)))))) \/ (((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))))))) /\ (-. (All X, ((-. (r1 Y X)) \/ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y)))))))))))) /\ (-. (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)) \/ (p1 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)) \/ (p1 X)))))))))) /\ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y)))))) \/ (((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ False)))))) /\ (-. (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)) \/ (p1 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)) \/ (p1 X)))))))))) /\ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y)))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ ((All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ ((All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ ((All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ ((All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ ((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 X, ((-. (r1 Y X)) \/ (p1 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)) \/ (p1 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)) \/ (p1 X))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. (p1 X)))))))) /\ (p1 X)))))) /\ (-. (All X, ((-. (r1 Y X)) \/ (p1 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)) \/ (p1 X)))))))))) /\ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y)))))))))) /\ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))))))) /\ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y)))))) \/ (((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (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)) \/ (p1 X))))))))))) /\ (-. (All X, ((-. (r1 Y X)) \/ (p1 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)) \/ (p1 X)))))))))) /\ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y)))))))))) /\ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))))))) /\ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y)))))) \/ (((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (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 X, ((-. (r1 Y X)) \/ (p1 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)) \/ (p1 X)))))))))) /\ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y)))))))))) /\ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))))))) /\ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y)))))) \/ (((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. (All Y, ((-. (r1 X Y)) \/ False)))))) /\ (-. (All X, ((-. (r1 Y X)) \/ (p1 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)) \/ (p1 X)))))))))) /\ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y)))))))))) /\ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))))))) /\ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y)))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ ((All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ ((All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ ((All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ ((All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ ((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 X, ((-. (r1 Y X)) \/ (p1 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)) \/ (p1 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)) \/ (p1 X))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (p1 Y)))))))) /\ (p1 Y)))))) /\ (-. (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)) \/ (p1 X)))))))))) /\ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y)))))))))) /\ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))))))) /\ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y)))))) \/ (((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 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)) \/ (p1 Y))))))))))) /\ (-. (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)) \/ (p1 X)))))))))) /\ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y)))))))))) /\ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))))))) /\ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y)))))) \/ (((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))))))) /\ (-. (All X, ((-. (r1 Y X)) \/ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y)))))))))))) /\ (-. (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)) \/ (p1 X)))))))))) /\ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y)))))))))) /\ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))))))) /\ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y)))))) \/ (((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ False)))))) /\ (-. (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)) \/ (p1 X)))))))))) /\ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y)))))))))) /\ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))))))) /\ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y)))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ ((All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ ((All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ ((All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ ((All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ ((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 X, ((-. (r1 Y X)) \/ (p1 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)) \/ (p1 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)) \/ (p1 X))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. (p1 X)))))))) /\ (p1 X)))))) /\ (-. (All X, ((-. (r1 Y X)) \/ (p1 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)) \/ (p1 X)))))))))) /\ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y)))))) \/ (((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (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)) \/ (p1 X))))))))))) /\ (-. (All X, ((-. (r1 Y X)) \/ (p1 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)) \/ (p1 X)))))))))) /\ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y)))))) \/ (((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (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 X, ((-. (r1 Y X)) \/ (p1 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)) \/ (p1 X)))))))))) /\ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y)))))) \/ (((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. (All Y, ((-. (r1 X Y)) \/ False)))))) /\ (-. (All X, ((-. (r1 Y X)) \/ (p1 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)) \/ (p1 X)))))))))) /\ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y)))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ ((All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ ((All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ ((All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ ((All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ ((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 X, ((-. (r1 Y X)) \/ (p1 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)) \/ (p1 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)) \/ (p1 X))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (p1 Y)))))))) /\ (p1 Y)))))) /\ (-. (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)) \/ (p1 X)))))))))) /\ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y)))))) \/ (((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 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)) \/ (p1 Y))))))))))) /\ (-. (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)) \/ (p1 X)))))))))) /\ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y)))))) \/ (((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))))))) /\ (-. (All X, ((-. (r1 Y X)) \/ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y)))))))))))) /\ (-. (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)) \/ (p1 X)))))))))) /\ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y)))))) \/ (((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ False)))))) /\ (-. (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)) \/ (p1 X)))))))))) /\ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y)))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ ((All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ ((All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ ((All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ ((All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ ((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 X, ((-. (r1 Y X)) \/ (p1 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)) \/ (p1 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)) \/ (p1 X))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. (p1 X)))))))) /\ (p1 X)))))) /\ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))))))) /\ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y)))))))))) /\ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))))))) /\ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y)))))) \/ (((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (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)) \/ (p1 X))))))))))) /\ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))))))) /\ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y)))))))))) /\ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))))))) /\ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y)))))) \/ (((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (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 X, ((-. (r1 Y X)) \/ (p1 X)))))))))) /\ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y)))))))))) /\ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))))))) /\ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y)))))) \/ (((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. (All Y, ((-. (r1 X Y)) \/ False)))))) /\ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))))))) /\ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y)))))))))) /\ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))))))) /\ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y)))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ ((All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ ((All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ ((All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ ((All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ ((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 X, ((-. (r1 Y X)) \/ (p1 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)) \/ (p1 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)) \/ (p1 X))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (p1 Y)))))))) /\ (p1 Y)))))) /\ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y)))))))))) /\ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))))))) /\ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y)))))) \/ (((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 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)) \/ (p1 Y))))))))))) /\ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y)))))))))) /\ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))))))) /\ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y)))))) \/ (((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))))))) /\ (-. (All X, ((-. (r1 Y X)) \/ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y)))))))))))) /\ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y)))))))))) /\ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))))))) /\ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y)))))) \/ (((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ False)))))) /\ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y)))))))))) /\ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))))))) /\ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y)))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ ((All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ ((All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ ((All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ ((All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ ((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 X, ((-. (r1 Y X)) \/ (p1 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)) \/ (p1 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)) \/ (p1 X))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. (p1 X)))))))) /\ (p1 X)))))) /\ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))))))) /\ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y)))))) \/ (((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (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)) \/ (p1 X))))))))))) /\ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))))))) /\ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y)))))) \/ (((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (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 X, ((-. (r1 Y X)) \/ (p1 X)))))))))) /\ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y)))))) \/ (((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. (All Y, ((-. (r1 X Y)) \/ False)))))) /\ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))))))) /\ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y)))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ ((All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ ((All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ ((All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ ((All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ ((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 X, ((-. (r1 Y X)) \/ (p1 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)) \/ (p1 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)) \/ (p1 X))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (p1 Y)))))))) /\ (p1 Y)))))) /\ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y)))))) \/ (((-. (All Y, ((-. (r1 X Y)) \/ (p2 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)) \/ (p1 Y))))))))))) /\ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y)))))) \/ (((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))))))) /\ (-. (All X, ((-. (r1 Y X)) \/ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y)))))))))))) /\ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y)))))) \/ (((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ False)))))) /\ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y)))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ ((All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ ((All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ ((All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ ((All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ ((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 X, ((-. (r1 Y X)) \/ (p1 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)) \/ (p1 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)) \/ (p1 X))))))) \/ (All Y, ((-. (r1 X Y)) \/ (p1 Y))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))   ### Exists 48
% 16.16/16.40  50. (-. (-. (Ex X, (-. (((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. (p1 X)))))))) /\ (p1 X)))))) /\ (-. (All X, ((-. (r1 Y X)) \/ (p1 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)) \/ (p1 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)) \/ (p1 X)))))))))) /\ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y)))))) \/ (((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (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)) \/ (p1 X))))))))))) /\ (-. (All X, ((-. (r1 Y X)) \/ (p1 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)) \/ (p1 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)) \/ (p1 X)))))))))) /\ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y)))))) \/ (((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (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 X, ((-. (r1 Y X)) \/ (p1 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)) \/ (p1 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)) \/ (p1 X)))))))))) /\ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y)))))) \/ (((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. (All Y, ((-. (r1 X Y)) \/ False)))))) /\ (-. (All X, ((-. (r1 Y X)) \/ (p1 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)) \/ (p1 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)) \/ (p1 X)))))))))) /\ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y)))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ ((All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ ((All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ ((All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ ((All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ ((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 X, ((-. (r1 Y X)) \/ (p1 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)) \/ (p1 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)) \/ (p1 X))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (p1 Y)))))))) /\ (p1 Y)))))) /\ (-. (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)) \/ (p1 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)) \/ (p1 X)))))))))) /\ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y)))))) \/ (((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 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)) \/ (p1 Y))))))))))) /\ (-. (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)) \/ (p1 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)) \/ (p1 X)))))))))) /\ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y)))))) \/ (((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))))))) /\ (-. (All X, ((-. (r1 Y X)) \/ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y)))))))))))) /\ (-. (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)) \/ (p1 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)) \/ (p1 X)))))))))) /\ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y)))))) \/ (((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ False)))))) /\ (-. (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)) \/ (p1 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)) \/ (p1 X)))))))))) /\ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y)))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ ((All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ ((All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ ((All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ ((All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ ((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 X, ((-. (r1 Y X)) \/ (p1 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)) \/ (p1 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)) \/ (p1 X))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. (p1 X)))))))) /\ (p1 X)))))) /\ (-. (All X, ((-. (r1 Y X)) \/ (p1 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)) \/ (p1 X)))))))))) /\ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y)))))))))) /\ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))))))) /\ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y)))))) \/ (((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (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)) \/ (p1 X))))))))))) /\ (-. (All X, ((-. (r1 Y X)) \/ (p1 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)) \/ (p1 X)))))))))) /\ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y)))))))))) /\ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))))))) /\ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y)))))) \/ (((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (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 X, ((-. (r1 Y X)) \/ (p1 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)) \/ (p1 X)))))))))) /\ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y)))))))))) /\ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))))))) /\ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y)))))) \/ (((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. (All Y, ((-. (r1 X Y)) \/ False)))))) /\ (-. (All X, ((-. (r1 Y X)) \/ (p1 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)) \/ (p1 X)))))))))) /\ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y)))))))))) /\ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))))))) /\ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y)))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ ((All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ ((All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ ((All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ ((All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ ((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 X, ((-. (r1 Y X)) \/ (p1 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)) \/ (p1 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)) \/ (p1 X))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (p1 Y)))))))) /\ (p1 Y)))))) /\ (-. (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)) \/ (p1 X)))))))))) /\ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y)))))))))) /\ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))))))) /\ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y)))))) \/ (((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 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)) \/ (p1 Y))))))))))) /\ (-. (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)) \/ (p1 X)))))))))) /\ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y)))))))))) /\ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))))))) /\ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y)))))) \/ (((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))))))) /\ (-. (All X, ((-. (r1 Y X)) \/ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y)))))))))))) /\ (-. (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)) \/ (p1 X)))))))))) /\ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y)))))))))) /\ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))))))) /\ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y)))))) \/ (((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ False)))))) /\ (-. (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)) \/ (p1 X)))))))))) /\ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y)))))))))) /\ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))))))) /\ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y)))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ ((All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ ((All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ ((All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ ((All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ ((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 X, ((-. (r1 Y X)) \/ (p1 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)) \/ (p1 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)) \/ (p1 X))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. (p1 X)))))))) /\ (p1 X)))))) /\ (-. (All X, ((-. (r1 Y X)) \/ (p1 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)) \/ (p1 X)))))))))) /\ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y)))))) \/ (((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (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)) \/ (p1 X))))))))))) /\ (-. (All X, ((-. (r1 Y X)) \/ (p1 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)) \/ (p1 X)))))))))) /\ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y)))))) \/ (((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (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 X, ((-. (r1 Y X)) \/ (p1 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)) \/ (p1 X)))))))))) /\ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y)))))) \/ (((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. (All Y, ((-. (r1 X Y)) \/ False)))))) /\ (-. (All X, ((-. (r1 Y X)) \/ (p1 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)) \/ (p1 X)))))))))) /\ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y)))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ ((All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ ((All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ ((All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ ((All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ ((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 X, ((-. (r1 Y X)) \/ (p1 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)) \/ (p1 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)) \/ (p1 X))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (p1 Y)))))))) /\ (p1 Y)))))) /\ (-. (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)) \/ (p1 X)))))))))) /\ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y)))))) \/ (((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 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)) \/ (p1 Y))))))))))) /\ (-. (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)) \/ (p1 X)))))))))) /\ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y)))))) \/ (((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))))))) /\ (-. (All X, ((-. (r1 Y X)) \/ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y)))))))))))) /\ (-. (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)) \/ (p1 X)))))))))) /\ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y)))))) \/ (((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ False)))))) /\ (-. (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)) \/ (p1 X)))))))))) /\ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y)))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ ((All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ ((All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ ((All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ ((All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ ((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 X, ((-. (r1 Y X)) \/ (p1 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)) \/ (p1 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)) \/ (p1 X))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. (p1 X)))))))) /\ (p1 X)))))) /\ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))))))) /\ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y)))))))))) /\ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))))))) /\ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y)))))) \/ (((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (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)) \/ (p1 X))))))))))) /\ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))))))) /\ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y)))))))))) /\ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))))))) /\ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y)))))) \/ (((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (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 X, ((-. (r1 Y X)) \/ (p1 X)))))))))) /\ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y)))))))))) /\ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))))))) /\ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y)))))) \/ (((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. (All Y, ((-. (r1 X Y)) \/ False)))))) /\ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))))))) /\ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y)))))))))) /\ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))))))) /\ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y)))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ ((All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ ((All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ ((All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ ((All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ ((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 X, ((-. (r1 Y X)) \/ (p1 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)) \/ (p1 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)) \/ (p1 X))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (p1 Y)))))))) /\ (p1 Y)))))) /\ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y)))))))))) /\ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))))))) /\ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y)))))) \/ (((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 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)) \/ (p1 Y))))))))))) /\ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y)))))))))) /\ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))))))) /\ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y)))))) \/ (((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))))))) /\ (-. (All X, ((-. (r1 Y X)) \/ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y)))))))))))) /\ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y)))))))))) /\ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))))))) /\ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y)))))) \/ (((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ False)))))) /\ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y)))))))))) /\ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))))))) /\ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y)))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ ((All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ ((All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ ((All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ ((All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ ((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 X, ((-. (r1 Y X)) \/ (p1 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)) \/ (p1 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)) \/ (p1 X))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. (p1 X)))))))) /\ (p1 X)))))) /\ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))))))) /\ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y)))))) \/ (((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (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)) \/ (p1 X))))))))))) /\ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))))))) /\ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y)))))) \/ (((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (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 X, ((-. (r1 Y X)) \/ (p1 X)))))))))) /\ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y)))))) \/ (((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p2 X)))) /\ ((-. (All X, ((-. (r1 Y X)) \/ (-. (All Y, ((-. (r1 X Y)) \/ False)))))) /\ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))))))) /\ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y)))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ ((All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ ((All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ ((All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ ((All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ ((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 X, ((-. (r1 Y X)) \/ (p1 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)) \/ (p1 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)) \/ (p1 X))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p1 Y))) \/ (((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (p1 Y)))))))) /\ (p1 Y)))))) /\ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y)))))) \/ (((-. (All Y, ((-. (r1 X Y)) \/ (p2 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)) \/ (p1 Y))))))))))) /\ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y)))))) \/ (((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))))))) /\ (-. (All X, ((-. (r1 Y X)) \/ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y)))))))))))) /\ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y)))))) \/ (((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ False)))))) /\ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y)))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ ((All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ ((All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ ((All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ ((All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (p2 X))) \/ ((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 X, ((-. (r1 Y X)) \/ (p1 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)) \/ (p1 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)) \/ (p1 X))))))) \/ (All Y, ((-. (r1 X Y)) \/ (p1 Y))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))   ### NotNot 49
% 16.16/16.41  % SZS output end Proof
% 16.16/16.41  (* END-PROOF *)
%------------------------------------------------------------------------------