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 *)
%------------------------------------------------------------------------------