TSTP Solution File: MGT055+1 by SuperZenon---0.0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SuperZenon---0.0.1
% Problem : MGT055+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_super_zenon -p0 -itptp -om -max-time %d %s
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sun Jul 17 22:27:06 EDT 2022
% Result : Theorem 23.67s 23.83s
% Output : Proof 23.76s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : MGT055+1 : TPTP v8.1.0. Released v2.4.0.
% 0.06/0.12 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s
% 0.12/0.33 % Computer : n026.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 : Thu Jun 9 09:58:17 EDT 2022
% 0.12/0.33 % CPUTime :
% 23.67/23.83 % SZS status Theorem
% 23.67/23.83 (* PROOF-FOUND *)
% 23.67/23.83 (* BEGIN-PROOF *)
% 23.67/23.83 % SZS output start Proof
% 23.67/23.83 1. (greater (age T_0 T_1) (eta)) (-. (greater (age T_0 T_1) (eta))) ### Axiom
% 23.67/23.83 2. (organization T_0) (-. (organization T_0)) ### Axiom
% 23.67/23.83 3. ((age T_0 T_2) = (zero)) ((age T_0 T_2) != (zero)) ### Axiom
% 23.67/23.83 4. (organization T_0) (-. (organization T_0)) ### Axiom
% 23.67/23.83 5. (greater (age T_0 T_3) (sigma)) (-. (greater (age T_0 T_3) (sigma))) ### Axiom
% 23.67/23.83 6. ((eta) != (eta)) ### NotEqual
% 23.67/23.83 7. (-. (greater (age T_0 T_3) (eta))) (greater (sigma) (eta)) (greater (age T_0 T_3) (sigma)) ### Trans 5 6
% 23.67/23.83 8. (has_immunity T_0 T_3) (-. (has_immunity T_0 T_3)) ### Axiom
% 23.67/23.83 9. ((greater (age T_0 T_3) (eta)) => (-. (has_immunity T_0 T_3))) (has_immunity T_0 T_3) (greater (age T_0 T_3) (sigma)) (greater (sigma) (eta)) ### Imply 7 8
% 23.67/23.83 10. ((organization T_0) /\ (((smaller_or_equal (age T_0 T_3) (eta)) => (has_immunity T_0 T_3)) /\ ((greater (age T_0 T_3) (eta)) => (-. (has_immunity T_0 T_3))))) (greater (sigma) (eta)) (greater (age T_0 T_3) (sigma)) (has_immunity T_0 T_3) ### ConjTree 9
% 23.67/23.83 11. (All T, ((organization T_0) /\ (((smaller_or_equal (age T_0 T) (eta)) => (has_immunity T_0 T)) /\ ((greater (age T_0 T) (eta)) => (-. (has_immunity T_0 T)))))) (has_immunity T_0 T_3) (greater (age T_0 T_3) (sigma)) (greater (sigma) (eta)) ### All 10
% 23.67/23.83 12. (-. (has_immunity T_0 T_1)) (has_immunity T_0 T_1) ### Axiom
% 23.67/23.83 13. (organization T_0) (-. (organization T_0)) ### Axiom
% 23.67/23.83 14. (organization T_0) (-. (organization T_0)) ### Axiom
% 23.67/23.83 15. ((age T_0 T_2) = (zero)) ((age T_0 T_2) != (zero)) ### Axiom
% 23.67/23.83 16. (organization T_0) (-. (organization T_0)) ### Axiom
% 23.67/23.83 17. (is_aligned T_0 T_2) (-. (is_aligned T_0 T_2)) ### Axiom
% 23.67/23.83 18. (-. (is_aligned T_0 T_1)) (is_aligned T_0 T_1) ### Axiom
% 23.67/23.83 19. ((is_aligned T_0 T_2) <=> (is_aligned T_0 T_1)) (-. (is_aligned T_0 T_1)) (is_aligned T_0 T_2) ### Equiv 17 18
% 23.67/23.83 20. (-. (-. ((is_aligned T_0 T_2) <=> (is_aligned T_0 T_1)))) (is_aligned T_0 T_2) (-. (is_aligned T_0 T_1)) ### NotNot 19
% 23.67/23.83 21. (-. ((organization T_0) /\ (-. ((is_aligned T_0 T_2) <=> (is_aligned T_0 T_1))))) (-. (is_aligned T_0 T_1)) (is_aligned T_0 T_2) (organization T_0) ### NotAnd 16 20
% 23.67/23.83 22. (-. (dissimilar T_0 T_2 T_1)) (organization T_0) (is_aligned T_0 T_2) (-. (is_aligned T_0 T_1)) ### Definition-Pseudo(dissimilar) 21
% 23.67/23.83 23. (-. (greater (age T_0 T_1) (sigma))) (greater (age T_0 T_1) (sigma)) ### Axiom
% 23.67/23.83 24. ((greater (age T_0 T_1) (sigma)) <=> (dissimilar T_0 T_2 T_1)) (-. (greater (age T_0 T_1) (sigma))) (-. (is_aligned T_0 T_1)) (is_aligned T_0 T_2) (organization T_0) ### Equiv 22 23
% 23.67/23.83 25. (((organization T_0) /\ ((age T_0 T_2) = (zero))) => ((greater (age T_0 T_1) (sigma)) <=> (dissimilar T_0 T_2 T_1))) (is_aligned T_0 T_2) (-. (is_aligned T_0 T_1)) (-. (greater (age T_0 T_1) (sigma))) ((age T_0 T_2) = (zero)) (organization T_0) ### DisjTree 14 15 24
% 23.67/23.83 26. (All T, (((organization T_0) /\ ((age T_0 T_2) = (zero))) => ((greater (age T_0 T) (sigma)) <=> (dissimilar T_0 T_2 T)))) (organization T_0) ((age T_0 T_2) = (zero)) (-. (greater (age T_0 T_1) (sigma))) (-. (is_aligned T_0 T_1)) (is_aligned T_0 T_2) ### All 25
% 23.67/23.83 27. (All T0, (All T, (((organization T_0) /\ ((age T_0 T0) = (zero))) => ((greater (age T_0 T) (sigma)) <=> (dissimilar T_0 T0 T))))) (is_aligned T_0 T_2) (-. (is_aligned T_0 T_1)) (-. (greater (age T_0 T_1) (sigma))) ((age T_0 T_2) = (zero)) (organization T_0) ### All 26
% 23.67/23.83 28. (greater (sigma) (age T_0 T_1)) (-. (greater (sigma) (age T_0 T_1))) ### Axiom
% 23.67/23.83 29. (-. ((greater (age T_0 T_1) (sigma)) /\ (greater (sigma) (age T_0 T_1)))) (greater (sigma) (age T_0 T_1)) (organization T_0) ((age T_0 T_2) = (zero)) (-. (is_aligned T_0 T_1)) (is_aligned T_0 T_2) (All T0, (All T, (((organization T_0) /\ ((age T_0 T0) = (zero))) => ((greater (age T_0 T) (sigma)) <=> (dissimilar T_0 T0 T))))) ### NotAnd 27 28
% 23.67/23.83 30. (All Y, (-. ((greater (age T_0 T_1) Y) /\ (greater Y (age T_0 T_1))))) (All T0, (All T, (((organization T_0) /\ ((age T_0 T0) = (zero))) => ((greater (age T_0 T) (sigma)) <=> (dissimilar T_0 T0 T))))) (is_aligned T_0 T_2) (-. (is_aligned T_0 T_1)) ((age T_0 T_2) = (zero)) (organization T_0) (greater (sigma) (age T_0 T_1)) ### All 29
% 23.67/23.83 31. (All X, (All Y, (-. ((greater X Y) /\ (greater Y X))))) (greater (sigma) (age T_0 T_1)) (organization T_0) ((age T_0 T_2) = (zero)) (-. (is_aligned T_0 T_1)) (is_aligned T_0 T_2) (All T0, (All T, (((organization T_0) /\ ((age T_0 T0) = (zero))) => ((greater (age T_0 T) (sigma)) <=> (dissimilar T_0 T0 T))))) ### All 30
% 23.67/23.83 32. (organization T_0) (-. (organization T_0)) ### Axiom
% 23.67/23.83 33. ((age T_0 T_2) = (zero)) ((age T_0 T_2) != (zero)) ### Axiom
% 23.67/23.83 34. (greater (age T_0 T_3) (sigma)) (-. (greater (age T_0 T_3) (sigma))) ### Axiom
% 23.67/23.83 35. (is_aligned T_0 T_2) (-. (is_aligned T_0 T_2)) ### Axiom
% 23.67/23.83 36. (is_aligned T_0 T_3) (-. (is_aligned T_0 T_3)) ### Axiom
% 23.67/23.83 37. (-. ((is_aligned T_0 T_2) <=> (is_aligned T_0 T_3))) (is_aligned T_0 T_3) (is_aligned T_0 T_2) ### NotEquiv 35 36
% 23.67/23.83 38. ((organization T_0) /\ (-. ((is_aligned T_0 T_2) <=> (is_aligned T_0 T_3)))) (is_aligned T_0 T_2) (is_aligned T_0 T_3) ### And 37
% 23.67/23.83 39. (dissimilar T_0 T_2 T_3) (is_aligned T_0 T_3) (is_aligned T_0 T_2) ### Definition-Pseudo(dissimilar) 38
% 23.67/23.83 40. ((greater (age T_0 T_3) (sigma)) <=> (dissimilar T_0 T_2 T_3)) (is_aligned T_0 T_2) (is_aligned T_0 T_3) (greater (age T_0 T_3) (sigma)) ### Equiv 34 39
% 23.67/23.83 41. (((organization T_0) /\ ((age T_0 T_2) = (zero))) => ((greater (age T_0 T_3) (sigma)) <=> (dissimilar T_0 T_2 T_3))) (greater (age T_0 T_3) (sigma)) (is_aligned T_0 T_3) (is_aligned T_0 T_2) ((age T_0 T_2) = (zero)) (organization T_0) ### DisjTree 32 33 40
% 23.67/23.83 42. (All T, (((organization T_0) /\ ((age T_0 T_2) = (zero))) => ((greater (age T_0 T) (sigma)) <=> (dissimilar T_0 T_2 T)))) (organization T_0) ((age T_0 T_2) = (zero)) (is_aligned T_0 T_2) (is_aligned T_0 T_3) (greater (age T_0 T_3) (sigma)) ### All 41
% 23.67/23.83 43. (All T0, (All T, (((organization T_0) /\ ((age T_0 T0) = (zero))) => ((greater (age T_0 T) (sigma)) <=> (dissimilar T_0 T0 T))))) (greater (age T_0 T_3) (sigma)) (is_aligned T_0 T_3) (is_aligned T_0 T_2) ((age T_0 T_2) = (zero)) (organization T_0) ### All 42
% 23.67/23.83 44. (-. (greater (capability T_0 T_1) (capability T_0 T_3))) (greater (capability T_0 T_1) (capability T_0 T_3)) ### Axiom
% 23.67/23.83 45. (((organization T_0) /\ ((is_aligned T_0 T_1) /\ (-. (is_aligned T_0 T_3)))) => (greater (capability T_0 T_1) (capability T_0 T_3))) (-. (greater (capability T_0 T_1) (capability T_0 T_3))) (greater (age T_0 T_3) (sigma)) (All T0, (All T, (((organization T_0) /\ ((age T_0 T0) = (zero))) => ((greater (age T_0 T) (sigma)) <=> (dissimilar T_0 T0 T))))) (is_aligned T_0 T_2) ((age T_0 T_2) = (zero)) (greater (sigma) (age T_0 T_1)) (All X, (All Y, (-. ((greater X Y) /\ (greater Y X))))) (organization T_0) ### DisjTree 13 31 43 44
% 23.67/23.83 46. (All T, (((organization T_0) /\ ((is_aligned T_0 T_1) /\ (-. (is_aligned T_0 T)))) => (greater (capability T_0 T_1) (capability T_0 T)))) (organization T_0) (All X, (All Y, (-. ((greater X Y) /\ (greater Y X))))) (greater (sigma) (age T_0 T_1)) ((age T_0 T_2) = (zero)) (is_aligned T_0 T_2) (All T0, (All T, (((organization T_0) /\ ((age T_0 T0) = (zero))) => ((greater (age T_0 T) (sigma)) <=> (dissimilar T_0 T0 T))))) (greater (age T_0 T_3) (sigma)) (-. (greater (capability T_0 T_1) (capability T_0 T_3))) ### All 45
% 23.67/23.83 47. (All T0, (All T, (((organization T_0) /\ ((is_aligned T_0 T0) /\ (-. (is_aligned T_0 T)))) => (greater (capability T_0 T0) (capability T_0 T))))) (-. (greater (capability T_0 T_1) (capability T_0 T_3))) (greater (age T_0 T_3) (sigma)) (All T0, (All T, (((organization T_0) /\ ((age T_0 T0) = (zero))) => ((greater (age T_0 T) (sigma)) <=> (dissimilar T_0 T0 T))))) (is_aligned T_0 T_2) ((age T_0 T_2) = (zero)) (greater (sigma) (age T_0 T_1)) (All X, (All Y, (-. ((greater X Y) /\ (greater Y X))))) (organization T_0) ### All 46
% 23.67/23.83 48. (All X, (All T0, (All T, (((organization X) /\ ((is_aligned X T0) /\ (-. (is_aligned X T)))) => (greater (capability X T0) (capability X T)))))) (organization T_0) (All X, (All Y, (-. ((greater X Y) /\ (greater Y X))))) (greater (sigma) (age T_0 T_1)) ((age T_0 T_2) = (zero)) (is_aligned T_0 T_2) (All T0, (All T, (((organization T_0) /\ ((age T_0 T0) = (zero))) => ((greater (age T_0 T) (sigma)) <=> (dissimilar T_0 T0 T))))) (greater (age T_0 T_3) (sigma)) (-. (greater (capability T_0 T_1) (capability T_0 T_3))) ### All 47
% 23.67/23.84 49. (-. (greater (hazard_of_mortality T_0 T_3) (hazard_of_mortality T_0 T_1))) (greater (hazard_of_mortality T_0 T_3) (hazard_of_mortality T_0 T_1)) ### Axiom
% 23.67/23.84 50. (((organization T_0) /\ ((-. (has_immunity T_0 T_3)) /\ ((-. (has_immunity T_0 T_1)) /\ (greater (capability T_0 T_1) (capability T_0 T_3))))) => (greater (hazard_of_mortality T_0 T_3) (hazard_of_mortality T_0 T_1))) (-. (greater (hazard_of_mortality T_0 T_3) (hazard_of_mortality T_0 T_1))) (All T0, (All T, (((organization T_0) /\ ((age T_0 T0) = (zero))) => ((greater (age T_0 T) (sigma)) <=> (dissimilar T_0 T0 T))))) (is_aligned T_0 T_2) ((age T_0 T_2) = (zero)) (greater (sigma) (age T_0 T_1)) (All X, (All Y, (-. ((greater X Y) /\ (greater Y X))))) (All X, (All T0, (All T, (((organization X) /\ ((is_aligned X T0) /\ (-. (is_aligned X T)))) => (greater (capability X T0) (capability X T)))))) (-. (has_immunity T_0 T_1)) (greater (sigma) (eta)) (greater (age T_0 T_3) (sigma)) (All T, ((organization T_0) /\ (((smaller_or_equal (age T_0 T) (eta)) => (has_immunity T_0 T)) /\ ((greater (age T_0 T) (eta)) => (-. (has_immunity T_0 T)))))) (organization T_0) ### DisjTree 4 11 12 48 49
% 23.67/23.84 51. (All T, (((organization T_0) /\ ((-. (has_immunity T_0 T_3)) /\ ((-. (has_immunity T_0 T)) /\ (greater (capability T_0 T) (capability T_0 T_3))))) => (greater (hazard_of_mortality T_0 T_3) (hazard_of_mortality T_0 T)))) (organization T_0) (All T, ((organization T_0) /\ (((smaller_or_equal (age T_0 T) (eta)) => (has_immunity T_0 T)) /\ ((greater (age T_0 T) (eta)) => (-. (has_immunity T_0 T)))))) (greater (age T_0 T_3) (sigma)) (greater (sigma) (eta)) (-. (has_immunity T_0 T_1)) (All X, (All T0, (All T, (((organization X) /\ ((is_aligned X T0) /\ (-. (is_aligned X T)))) => (greater (capability X T0) (capability X T)))))) (All X, (All Y, (-. ((greater X Y) /\ (greater Y X))))) (greater (sigma) (age T_0 T_1)) ((age T_0 T_2) = (zero)) (is_aligned T_0 T_2) (All T0, (All T, (((organization T_0) /\ ((age T_0 T0) = (zero))) => ((greater (age T_0 T) (sigma)) <=> (dissimilar T_0 T0 T))))) (-. (greater (hazard_of_mortality T_0 T_3) (hazard_of_mortality T_0 T_1))) ### All 50
% 23.67/23.84 52. (All T0, (All T, (((organization T_0) /\ ((-. (has_immunity T_0 T0)) /\ ((-. (has_immunity T_0 T)) /\ (greater (capability T_0 T) (capability T_0 T0))))) => (greater (hazard_of_mortality T_0 T0) (hazard_of_mortality T_0 T))))) (-. (greater (hazard_of_mortality T_0 T_3) (hazard_of_mortality T_0 T_1))) (All T0, (All T, (((organization T_0) /\ ((age T_0 T0) = (zero))) => ((greater (age T_0 T) (sigma)) <=> (dissimilar T_0 T0 T))))) (is_aligned T_0 T_2) ((age T_0 T_2) = (zero)) (greater (sigma) (age T_0 T_1)) (All X, (All Y, (-. ((greater X Y) /\ (greater Y X))))) (All X, (All T0, (All T, (((organization X) /\ ((is_aligned X T0) /\ (-. (is_aligned X T)))) => (greater (capability X T0) (capability X T)))))) (-. (has_immunity T_0 T_1)) (greater (sigma) (eta)) (greater (age T_0 T_3) (sigma)) (All T, ((organization T_0) /\ (((smaller_or_equal (age T_0 T) (eta)) => (has_immunity T_0 T)) /\ ((greater (age T_0 T) (eta)) => (-. (has_immunity T_0 T)))))) (organization T_0) ### All 51
% 23.67/23.84 53. (All X, (All T0, (All T, (((organization X) /\ ((-. (has_immunity X T0)) /\ ((-. (has_immunity X T)) /\ (greater (capability X T) (capability X T0))))) => (greater (hazard_of_mortality X T0) (hazard_of_mortality X T)))))) (organization T_0) (All T, ((organization T_0) /\ (((smaller_or_equal (age T_0 T) (eta)) => (has_immunity T_0 T)) /\ ((greater (age T_0 T) (eta)) => (-. (has_immunity T_0 T)))))) (greater (age T_0 T_3) (sigma)) (greater (sigma) (eta)) (-. (has_immunity T_0 T_1)) (All X, (All T0, (All T, (((organization X) /\ ((is_aligned X T0) /\ (-. (is_aligned X T)))) => (greater (capability X T0) (capability X T)))))) (All X, (All Y, (-. ((greater X Y) /\ (greater Y X))))) (greater (sigma) (age T_0 T_1)) ((age T_0 T_2) = (zero)) (is_aligned T_0 T_2) (All T0, (All T, (((organization T_0) /\ ((age T_0 T0) = (zero))) => ((greater (age T_0 T) (sigma)) <=> (dissimilar T_0 T0 T))))) (-. (greater (hazard_of_mortality T_0 T_3) (hazard_of_mortality T_0 T_1))) ### All 52
% 23.67/23.84 54. (All X, (All T0, (All T, (((organization X) /\ ((age X T0) = (zero))) => ((greater (age X T) (sigma)) <=> (dissimilar X T0 T)))))) (-. (greater (hazard_of_mortality T_0 T_3) (hazard_of_mortality T_0 T_1))) (is_aligned T_0 T_2) ((age T_0 T_2) = (zero)) (greater (sigma) (age T_0 T_1)) (All X, (All Y, (-. ((greater X Y) /\ (greater Y X))))) (All X, (All T0, (All T, (((organization X) /\ ((is_aligned X T0) /\ (-. (is_aligned X T)))) => (greater (capability X T0) (capability X T)))))) (-. (has_immunity T_0 T_1)) (greater (sigma) (eta)) (greater (age T_0 T_3) (sigma)) (All T, ((organization T_0) /\ (((smaller_or_equal (age T_0 T) (eta)) => (has_immunity T_0 T)) /\ ((greater (age T_0 T) (eta)) => (-. (has_immunity T_0 T)))))) (organization T_0) (All X, (All T0, (All T, (((organization X) /\ ((-. (has_immunity X T0)) /\ ((-. (has_immunity X T)) /\ (greater (capability X T) (capability X T0))))) => (greater (hazard_of_mortality X T0) (hazard_of_mortality X T)))))) ### All 53
% 23.67/23.84 55. (((organization T_0) /\ ((age T_0 T_2) = (zero))) => (is_aligned T_0 T_2)) (All X, (All T0, (All T, (((organization X) /\ ((-. (has_immunity X T0)) /\ ((-. (has_immunity X T)) /\ (greater (capability X T) (capability X T0))))) => (greater (hazard_of_mortality X T0) (hazard_of_mortality X T)))))) (All T, ((organization T_0) /\ (((smaller_or_equal (age T_0 T) (eta)) => (has_immunity T_0 T)) /\ ((greater (age T_0 T) (eta)) => (-. (has_immunity T_0 T)))))) (greater (age T_0 T_3) (sigma)) (greater (sigma) (eta)) (-. (has_immunity T_0 T_1)) (All X, (All T0, (All T, (((organization X) /\ ((is_aligned X T0) /\ (-. (is_aligned X T)))) => (greater (capability X T0) (capability X T)))))) (All X, (All Y, (-. ((greater X Y) /\ (greater Y X))))) (greater (sigma) (age T_0 T_1)) (-. (greater (hazard_of_mortality T_0 T_3) (hazard_of_mortality T_0 T_1))) (All X, (All T0, (All T, (((organization X) /\ ((age X T0) = (zero))) => ((greater (age X T) (sigma)) <=> (dissimilar X T0 T)))))) ((age T_0 T_2) = (zero)) (organization T_0) ### DisjTree 2 3 54
% 23.67/23.84 56. (All T, (((organization T_0) /\ ((age T_0 T) = (zero))) => (is_aligned T_0 T))) (organization T_0) ((age T_0 T_2) = (zero)) (All X, (All T0, (All T, (((organization X) /\ ((age X T0) = (zero))) => ((greater (age X T) (sigma)) <=> (dissimilar X T0 T)))))) (-. (greater (hazard_of_mortality T_0 T_3) (hazard_of_mortality T_0 T_1))) (greater (sigma) (age T_0 T_1)) (All X, (All Y, (-. ((greater X Y) /\ (greater Y X))))) (All X, (All T0, (All T, (((organization X) /\ ((is_aligned X T0) /\ (-. (is_aligned X T)))) => (greater (capability X T0) (capability X T)))))) (-. (has_immunity T_0 T_1)) (greater (sigma) (eta)) (greater (age T_0 T_3) (sigma)) (All T, ((organization T_0) /\ (((smaller_or_equal (age T_0 T) (eta)) => (has_immunity T_0 T)) /\ ((greater (age T_0 T) (eta)) => (-. (has_immunity T_0 T)))))) (All X, (All T0, (All T, (((organization X) /\ ((-. (has_immunity X T0)) /\ ((-. (has_immunity X T)) /\ (greater (capability X T) (capability X T0))))) => (greater (hazard_of_mortality X T0) (hazard_of_mortality X T)))))) ### All 55
% 23.67/23.84 57. ((greater (age T_0 T_1) (eta)) => (-. (has_immunity T_0 T_1))) (All X, (All T0, (All T, (((organization X) /\ ((-. (has_immunity X T0)) /\ ((-. (has_immunity X T)) /\ (greater (capability X T) (capability X T0))))) => (greater (hazard_of_mortality X T0) (hazard_of_mortality X T)))))) (All T, ((organization T_0) /\ (((smaller_or_equal (age T_0 T) (eta)) => (has_immunity T_0 T)) /\ ((greater (age T_0 T) (eta)) => (-. (has_immunity T_0 T)))))) (greater (age T_0 T_3) (sigma)) (greater (sigma) (eta)) (All X, (All T0, (All T, (((organization X) /\ ((is_aligned X T0) /\ (-. (is_aligned X T)))) => (greater (capability X T0) (capability X T)))))) (All X, (All Y, (-. ((greater X Y) /\ (greater Y X))))) (greater (sigma) (age T_0 T_1)) (-. (greater (hazard_of_mortality T_0 T_3) (hazard_of_mortality T_0 T_1))) (All X, (All T0, (All T, (((organization X) /\ ((age X T0) = (zero))) => ((greater (age X T) (sigma)) <=> (dissimilar X T0 T)))))) ((age T_0 T_2) = (zero)) (organization T_0) (All T, (((organization T_0) /\ ((age T_0 T) = (zero))) => (is_aligned T_0 T))) (greater (age T_0 T_1) (eta)) ### Imply 1 56
% 23.67/23.86 58. ((organization T_0) /\ (((smaller_or_equal (age T_0 T_1) (eta)) => (has_immunity T_0 T_1)) /\ ((greater (age T_0 T_1) (eta)) => (-. (has_immunity T_0 T_1))))) (greater (age T_0 T_1) (eta)) (All T, (((organization T_0) /\ ((age T_0 T) = (zero))) => (is_aligned T_0 T))) (organization T_0) ((age T_0 T_2) = (zero)) (All X, (All T0, (All T, (((organization X) /\ ((age X T0) = (zero))) => ((greater (age X T) (sigma)) <=> (dissimilar X T0 T)))))) (-. (greater (hazard_of_mortality T_0 T_3) (hazard_of_mortality T_0 T_1))) (greater (sigma) (age T_0 T_1)) (All X, (All Y, (-. ((greater X Y) /\ (greater Y X))))) (All X, (All T0, (All T, (((organization X) /\ ((is_aligned X T0) /\ (-. (is_aligned X T)))) => (greater (capability X T0) (capability X T)))))) (greater (sigma) (eta)) (greater (age T_0 T_3) (sigma)) (All T, ((organization T_0) /\ (((smaller_or_equal (age T_0 T) (eta)) => (has_immunity T_0 T)) /\ ((greater (age T_0 T) (eta)) => (-. (has_immunity T_0 T)))))) (All X, (All T0, (All T, (((organization X) /\ ((-. (has_immunity X T0)) /\ ((-. (has_immunity X T)) /\ (greater (capability X T) (capability X T0))))) => (greater (hazard_of_mortality X T0) (hazard_of_mortality X T)))))) ### ConjTree 57
% 23.67/23.86 59. (All X, (All T0, (All T, (((organization X) /\ ((-. (has_immunity X T0)) /\ ((-. (has_immunity X T)) /\ (greater (capability X T) (capability X T0))))) => (greater (hazard_of_mortality X T0) (hazard_of_mortality X T)))))) (All T, ((organization T_0) /\ (((smaller_or_equal (age T_0 T) (eta)) => (has_immunity T_0 T)) /\ ((greater (age T_0 T) (eta)) => (-. (has_immunity T_0 T)))))) (greater (age T_0 T_3) (sigma)) (greater (sigma) (eta)) (All X, (All T0, (All T, (((organization X) /\ ((is_aligned X T0) /\ (-. (is_aligned X T)))) => (greater (capability X T0) (capability X T)))))) (All X, (All Y, (-. ((greater X Y) /\ (greater Y X))))) (greater (sigma) (age T_0 T_1)) (-. (greater (hazard_of_mortality T_0 T_3) (hazard_of_mortality T_0 T_1))) (All X, (All T0, (All T, (((organization X) /\ ((age X T0) = (zero))) => ((greater (age X T) (sigma)) <=> (dissimilar X T0 T)))))) ((age T_0 T_2) = (zero)) (organization T_0) (All T, (((organization T_0) /\ ((age T_0 T) = (zero))) => (is_aligned T_0 T))) (greater (age T_0 T_1) (eta)) ### All 58
% 23.67/23.86 60. (All X, (All T, (((organization X) /\ ((age X T) = (zero))) => (is_aligned X T)))) (greater (age T_0 T_1) (eta)) (organization T_0) ((age T_0 T_2) = (zero)) (All X, (All T0, (All T, (((organization X) /\ ((age X T0) = (zero))) => ((greater (age X T) (sigma)) <=> (dissimilar X T0 T)))))) (-. (greater (hazard_of_mortality T_0 T_3) (hazard_of_mortality T_0 T_1))) (greater (sigma) (age T_0 T_1)) (All X, (All Y, (-. ((greater X Y) /\ (greater Y X))))) (All X, (All T0, (All T, (((organization X) /\ ((is_aligned X T0) /\ (-. (is_aligned X T)))) => (greater (capability X T0) (capability X T)))))) (greater (sigma) (eta)) (greater (age T_0 T_3) (sigma)) (All T, ((organization T_0) /\ (((smaller_or_equal (age T_0 T) (eta)) => (has_immunity T_0 T)) /\ ((greater (age T_0 T) (eta)) => (-. (has_immunity T_0 T)))))) (All X, (All T0, (All T, (((organization X) /\ ((-. (has_immunity X T0)) /\ ((-. (has_immunity X T)) /\ (greater (capability X T) (capability X T0))))) => (greater (hazard_of_mortality X T0) (hazard_of_mortality X T)))))) ### All 59
% 23.67/23.86 61. (greater (eta) (age T_0 T_4)) (-. (greater (eta) (age T_0 T_4))) ### Axiom
% 23.67/23.86 62. (-. (smaller (age T_0 T_4) (eta))) (greater (eta) (age T_0 T_4)) ### Definition-Pseudo(smaller) 61
% 23.67/23.86 63. (-. ((smaller (age T_0 T_4) (eta)) \/ ((age T_0 T_4) = (eta)))) (greater (eta) (age T_0 T_4)) ### NotOr 62
% 23.67/23.86 64. (-. (smaller_or_equal (age T_0 T_4) (eta))) (greater (eta) (age T_0 T_4)) ### Definition-Pseudo(smaller_or_equal) 63
% 23.67/23.86 65. (greater (age T_0 T_1) (eta)) (-. (greater (age T_0 T_1) (eta))) ### Axiom
% 23.67/23.86 66. (organization T_0) (-. (organization T_0)) ### Axiom
% 23.67/23.86 67. (has_immunity T_0 T_4) (-. (has_immunity T_0 T_4)) ### Axiom
% 23.67/23.86 68. (-. (has_immunity T_0 T_1)) (has_immunity T_0 T_1) ### Axiom
% 23.67/23.86 69. (-. (greater (hazard_of_mortality T_0 T_1) (hazard_of_mortality T_0 T_4))) (greater (hazard_of_mortality T_0 T_1) (hazard_of_mortality T_0 T_4)) ### Axiom
% 23.67/23.86 70. (((organization T_0) /\ ((has_immunity T_0 T_4) /\ (-. (has_immunity T_0 T_1)))) => (greater (hazard_of_mortality T_0 T_1) (hazard_of_mortality T_0 T_4))) (-. (greater (hazard_of_mortality T_0 T_1) (hazard_of_mortality T_0 T_4))) (-. (has_immunity T_0 T_1)) (has_immunity T_0 T_4) (organization T_0) ### DisjTree 66 67 68 69
% 23.67/23.86 71. (All T, (((organization T_0) /\ ((has_immunity T_0 T_4) /\ (-. (has_immunity T_0 T)))) => (greater (hazard_of_mortality T_0 T) (hazard_of_mortality T_0 T_4)))) (organization T_0) (has_immunity T_0 T_4) (-. (has_immunity T_0 T_1)) (-. (greater (hazard_of_mortality T_0 T_1) (hazard_of_mortality T_0 T_4))) ### All 70
% 23.67/23.86 72. (All T0, (All T, (((organization T_0) /\ ((has_immunity T_0 T0) /\ (-. (has_immunity T_0 T)))) => (greater (hazard_of_mortality T_0 T) (hazard_of_mortality T_0 T0))))) (-. (greater (hazard_of_mortality T_0 T_1) (hazard_of_mortality T_0 T_4))) (-. (has_immunity T_0 T_1)) (has_immunity T_0 T_4) (organization T_0) ### All 71
% 23.67/23.86 73. (All X, (All T0, (All T, (((organization X) /\ ((has_immunity X T0) /\ (-. (has_immunity X T)))) => (greater (hazard_of_mortality X T) (hazard_of_mortality X T0)))))) (organization T_0) (has_immunity T_0 T_4) (-. (has_immunity T_0 T_1)) (-. (greater (hazard_of_mortality T_0 T_1) (hazard_of_mortality T_0 T_4))) ### All 72
% 23.67/23.86 74. ((greater (age T_0 T_1) (eta)) => (-. (has_immunity T_0 T_1))) (-. (greater (hazard_of_mortality T_0 T_1) (hazard_of_mortality T_0 T_4))) (has_immunity T_0 T_4) (organization T_0) (All X, (All T0, (All T, (((organization X) /\ ((has_immunity X T0) /\ (-. (has_immunity X T)))) => (greater (hazard_of_mortality X T) (hazard_of_mortality X T0)))))) (greater (age T_0 T_1) (eta)) ### Imply 65 73
% 23.67/23.86 75. ((organization T_0) /\ (((smaller_or_equal (age T_0 T_1) (eta)) => (has_immunity T_0 T_1)) /\ ((greater (age T_0 T_1) (eta)) => (-. (has_immunity T_0 T_1))))) (greater (age T_0 T_1) (eta)) (All X, (All T0, (All T, (((organization X) /\ ((has_immunity X T0) /\ (-. (has_immunity X T)))) => (greater (hazard_of_mortality X T) (hazard_of_mortality X T0)))))) (organization T_0) (has_immunity T_0 T_4) (-. (greater (hazard_of_mortality T_0 T_1) (hazard_of_mortality T_0 T_4))) ### ConjTree 74
% 23.67/23.86 76. (All T, ((organization T_0) /\ (((smaller_or_equal (age T_0 T) (eta)) => (has_immunity T_0 T)) /\ ((greater (age T_0 T) (eta)) => (-. (has_immunity T_0 T)))))) (-. (greater (hazard_of_mortality T_0 T_1) (hazard_of_mortality T_0 T_4))) (has_immunity T_0 T_4) (organization T_0) (All X, (All T0, (All T, (((organization X) /\ ((has_immunity X T0) /\ (-. (has_immunity X T)))) => (greater (hazard_of_mortality X T) (hazard_of_mortality X T0)))))) (greater (age T_0 T_1) (eta)) ### All 75
% 23.67/23.86 77. ((smaller_or_equal (age T_0 T_4) (eta)) => (has_immunity T_0 T_4)) (greater (age T_0 T_1) (eta)) (All X, (All T0, (All T, (((organization X) /\ ((has_immunity X T0) /\ (-. (has_immunity X T)))) => (greater (hazard_of_mortality X T) (hazard_of_mortality X T0)))))) (organization T_0) (-. (greater (hazard_of_mortality T_0 T_1) (hazard_of_mortality T_0 T_4))) (All T, ((organization T_0) /\ (((smaller_or_equal (age T_0 T) (eta)) => (has_immunity T_0 T)) /\ ((greater (age T_0 T) (eta)) => (-. (has_immunity T_0 T)))))) (greater (eta) (age T_0 T_4)) ### Imply 64 76
% 23.67/23.86 78. ((organization T_0) /\ (((smaller_or_equal (age T_0 T_4) (eta)) => (has_immunity T_0 T_4)) /\ ((greater (age T_0 T_4) (eta)) => (-. (has_immunity T_0 T_4))))) (greater (eta) (age T_0 T_4)) (All T, ((organization T_0) /\ (((smaller_or_equal (age T_0 T) (eta)) => (has_immunity T_0 T)) /\ ((greater (age T_0 T) (eta)) => (-. (has_immunity T_0 T)))))) (-. (greater (hazard_of_mortality T_0 T_1) (hazard_of_mortality T_0 T_4))) (organization T_0) (All X, (All T0, (All T, (((organization X) /\ ((has_immunity X T0) /\ (-. (has_immunity X T)))) => (greater (hazard_of_mortality X T) (hazard_of_mortality X T0)))))) (greater (age T_0 T_1) (eta)) ### ConjTree 77
% 23.67/23.86 79. (greater (age T_0 T_1) (eta)) (All X, (All T0, (All T, (((organization X) /\ ((has_immunity X T0) /\ (-. (has_immunity X T)))) => (greater (hazard_of_mortality X T) (hazard_of_mortality X T0)))))) (organization T_0) (-. (greater (hazard_of_mortality T_0 T_1) (hazard_of_mortality T_0 T_4))) (All T, ((organization T_0) /\ (((smaller_or_equal (age T_0 T) (eta)) => (has_immunity T_0 T)) /\ ((greater (age T_0 T) (eta)) => (-. (has_immunity T_0 T)))))) (greater (eta) (age T_0 T_4)) ### All 78
% 23.67/23.86 80. ((age T_0 T_2) = (zero)) ((zero) != (age T_0 T_2)) ### Sym(=)
% 23.67/23.86 81. (-. (greater (eta) (age T_0 T_2))) (greater (eta) (zero)) ((age T_0 T_2) = (zero)) ### Trans 6 80
% 23.67/23.86 82. (-. (smaller (age T_0 T_2) (eta))) ((age T_0 T_2) = (zero)) (greater (eta) (zero)) ### Definition-Pseudo(smaller) 81
% 23.67/23.86 83. (-. ((smaller (age T_0 T_2) (eta)) \/ ((age T_0 T_2) = (eta)))) (greater (eta) (zero)) ((age T_0 T_2) = (zero)) ### NotOr 82
% 23.67/23.86 84. (-. (smaller_or_equal (age T_0 T_2) (eta))) ((age T_0 T_2) = (zero)) (greater (eta) (zero)) ### Definition-Pseudo(smaller_or_equal) 83
% 23.67/23.86 85. (organization T_0) (-. (organization T_0)) ### Axiom
% 23.67/23.86 86. (has_immunity T_0 T_2) (-. (has_immunity T_0 T_2)) ### Axiom
% 23.67/23.86 87. (has_immunity T_0 T_4) (-. (has_immunity T_0 T_4)) ### Axiom
% 23.67/23.86 88. ((hazard_of_mortality T_0 T_4) != (hazard_of_mortality T_0 T_2)) ((hazard_of_mortality T_0 T_2) = (hazard_of_mortality T_0 T_4)) ### Sym(=)
% 23.67/23.86 89. (((organization T_0) /\ ((has_immunity T_0 T_2) /\ (has_immunity T_0 T_4))) => ((hazard_of_mortality T_0 T_2) = (hazard_of_mortality T_0 T_4))) ((hazard_of_mortality T_0 T_4) != (hazard_of_mortality T_0 T_2)) (has_immunity T_0 T_4) (has_immunity T_0 T_2) (organization T_0) ### DisjTree 85 86 87 88
% 23.67/23.86 90. (All T, (((organization T_0) /\ ((has_immunity T_0 T_2) /\ (has_immunity T_0 T))) => ((hazard_of_mortality T_0 T_2) = (hazard_of_mortality T_0 T)))) (organization T_0) (has_immunity T_0 T_2) (has_immunity T_0 T_4) ((hazard_of_mortality T_0 T_4) != (hazard_of_mortality T_0 T_2)) ### All 89
% 23.67/23.86 91. (All T0, (All T, (((organization T_0) /\ ((has_immunity T_0 T0) /\ (has_immunity T_0 T))) => ((hazard_of_mortality T_0 T0) = (hazard_of_mortality T_0 T))))) ((hazard_of_mortality T_0 T_4) != (hazard_of_mortality T_0 T_2)) (has_immunity T_0 T_4) (has_immunity T_0 T_2) (organization T_0) ### All 90
% 23.67/23.86 92. (All X, (All T0, (All T, (((organization X) /\ ((has_immunity X T0) /\ (has_immunity X T))) => ((hazard_of_mortality X T0) = (hazard_of_mortality X T)))))) (organization T_0) (has_immunity T_0 T_2) (has_immunity T_0 T_4) ((hazard_of_mortality T_0 T_4) != (hazard_of_mortality T_0 T_2)) ### All 91
% 23.67/23.86 93. ((smaller_or_equal (age T_0 T_2) (eta)) => (has_immunity T_0 T_2)) ((hazard_of_mortality T_0 T_4) != (hazard_of_mortality T_0 T_2)) (has_immunity T_0 T_4) (organization T_0) (All X, (All T0, (All T, (((organization X) /\ ((has_immunity X T0) /\ (has_immunity X T))) => ((hazard_of_mortality X T0) = (hazard_of_mortality X T)))))) (greater (eta) (zero)) ((age T_0 T_2) = (zero)) ### Imply 84 92
% 23.67/23.86 94. ((organization T_0) /\ (((smaller_or_equal (age T_0 T_2) (eta)) => (has_immunity T_0 T_2)) /\ ((greater (age T_0 T_2) (eta)) => (-. (has_immunity T_0 T_2))))) ((age T_0 T_2) = (zero)) (greater (eta) (zero)) (All X, (All T0, (All T, (((organization X) /\ ((has_immunity X T0) /\ (has_immunity X T))) => ((hazard_of_mortality X T0) = (hazard_of_mortality X T)))))) (organization T_0) (has_immunity T_0 T_4) ((hazard_of_mortality T_0 T_4) != (hazard_of_mortality T_0 T_2)) ### ConjTree 93
% 23.67/23.86 95. (All T, ((organization T_0) /\ (((smaller_or_equal (age T_0 T) (eta)) => (has_immunity T_0 T)) /\ ((greater (age T_0 T) (eta)) => (-. (has_immunity T_0 T)))))) ((hazard_of_mortality T_0 T_4) != (hazard_of_mortality T_0 T_2)) (has_immunity T_0 T_4) (organization T_0) (All X, (All T0, (All T, (((organization X) /\ ((has_immunity X T0) /\ (has_immunity X T))) => ((hazard_of_mortality X T0) = (hazard_of_mortality X T)))))) (greater (eta) (zero)) ((age T_0 T_2) = (zero)) ### All 94
% 23.67/23.86 96. ((smaller_or_equal (age T_0 T_4) (eta)) => (has_immunity T_0 T_4)) ((age T_0 T_2) = (zero)) (greater (eta) (zero)) (All X, (All T0, (All T, (((organization X) /\ ((has_immunity X T0) /\ (has_immunity X T))) => ((hazard_of_mortality X T0) = (hazard_of_mortality X T)))))) (organization T_0) ((hazard_of_mortality T_0 T_4) != (hazard_of_mortality T_0 T_2)) (All T, ((organization T_0) /\ (((smaller_or_equal (age T_0 T) (eta)) => (has_immunity T_0 T)) /\ ((greater (age T_0 T) (eta)) => (-. (has_immunity T_0 T)))))) (greater (eta) (age T_0 T_4)) ### Imply 64 95
% 23.67/23.86 97. ((organization T_0) /\ (((smaller_or_equal (age T_0 T_4) (eta)) => (has_immunity T_0 T_4)) /\ ((greater (age T_0 T_4) (eta)) => (-. (has_immunity T_0 T_4))))) (greater (eta) (age T_0 T_4)) (All T, ((organization T_0) /\ (((smaller_or_equal (age T_0 T) (eta)) => (has_immunity T_0 T)) /\ ((greater (age T_0 T) (eta)) => (-. (has_immunity T_0 T)))))) ((hazard_of_mortality T_0 T_4) != (hazard_of_mortality T_0 T_2)) (organization T_0) (All X, (All T0, (All T, (((organization X) /\ ((has_immunity X T0) /\ (has_immunity X T))) => ((hazard_of_mortality X T0) = (hazard_of_mortality X T)))))) (greater (eta) (zero)) ((age T_0 T_2) = (zero)) ### ConjTree 96
% 23.67/23.86 98. ((age T_0 T_2) = (zero)) (greater (eta) (zero)) (All X, (All T0, (All T, (((organization X) /\ ((has_immunity X T0) /\ (has_immunity X T))) => ((hazard_of_mortality X T0) = (hazard_of_mortality X T)))))) (organization T_0) ((hazard_of_mortality T_0 T_4) != (hazard_of_mortality T_0 T_2)) (All T, ((organization T_0) /\ (((smaller_or_equal (age T_0 T) (eta)) => (has_immunity T_0 T)) /\ ((greater (age T_0 T) (eta)) => (-. (has_immunity T_0 T)))))) (greater (eta) (age T_0 T_4)) ### All 97
% 23.67/23.86 99. (-. ((greater (hazard_of_mortality T_0 T_3) (hazard_of_mortality T_0 T_1)) /\ ((greater (hazard_of_mortality T_0 T_1) (hazard_of_mortality T_0 T_4)) /\ ((hazard_of_mortality T_0 T_4) = (hazard_of_mortality T_0 T_2))))) (All X, (All T0, (All T, (((organization X) /\ ((has_immunity X T0) /\ (has_immunity X T))) => ((hazard_of_mortality X T0) = (hazard_of_mortality X T)))))) (greater (eta) (zero)) (greater (eta) (age T_0 T_4)) (All X, (All T0, (All T, (((organization X) /\ ((has_immunity X T0) /\ (-. (has_immunity X T)))) => (greater (hazard_of_mortality X T) (hazard_of_mortality X T0)))))) (All X, (All T0, (All T, (((organization X) /\ ((-. (has_immunity X T0)) /\ ((-. (has_immunity X T)) /\ (greater (capability X T) (capability X T0))))) => (greater (hazard_of_mortality X T0) (hazard_of_mortality X T)))))) (All T, ((organization T_0) /\ (((smaller_or_equal (age T_0 T) (eta)) => (has_immunity T_0 T)) /\ ((greater (age T_0 T) (eta)) => (-. (has_immunity T_0 T)))))) (greater (age T_0 T_3) (sigma)) (greater (sigma) (eta)) (All X, (All T0, (All T, (((organization X) /\ ((is_aligned X T0) /\ (-. (is_aligned X T)))) => (greater (capability X T0) (capability X T)))))) (All X, (All Y, (-. ((greater X Y) /\ (greater Y X))))) (greater (sigma) (age T_0 T_1)) (All X, (All T0, (All T, (((organization X) /\ ((age X T0) = (zero))) => ((greater (age X T) (sigma)) <=> (dissimilar X T0 T)))))) ((age T_0 T_2) = (zero)) (organization T_0) (greater (age T_0 T_1) (eta)) (All X, (All T, (((organization X) /\ ((age X T) = (zero))) => (is_aligned X T)))) ### DisjTree 60 79 98
% 23.67/23.86 100. (smaller (age T_0 T_4) (eta)) (All X, (All T, (((organization X) /\ ((age X T) = (zero))) => (is_aligned X T)))) (greater (age T_0 T_1) (eta)) (organization T_0) ((age T_0 T_2) = (zero)) (All X, (All T0, (All T, (((organization X) /\ ((age X T0) = (zero))) => ((greater (age X T) (sigma)) <=> (dissimilar X T0 T)))))) (greater (sigma) (age T_0 T_1)) (All X, (All Y, (-. ((greater X Y) /\ (greater Y X))))) (All X, (All T0, (All T, (((organization X) /\ ((is_aligned X T0) /\ (-. (is_aligned X T)))) => (greater (capability X T0) (capability X T)))))) (greater (sigma) (eta)) (greater (age T_0 T_3) (sigma)) (All T, ((organization T_0) /\ (((smaller_or_equal (age T_0 T) (eta)) => (has_immunity T_0 T)) /\ ((greater (age T_0 T) (eta)) => (-. (has_immunity T_0 T)))))) (All X, (All T0, (All T, (((organization X) /\ ((-. (has_immunity X T0)) /\ ((-. (has_immunity X T)) /\ (greater (capability X T) (capability X T0))))) => (greater (hazard_of_mortality X T0) (hazard_of_mortality X T)))))) (All X, (All T0, (All T, (((organization X) /\ ((has_immunity X T0) /\ (-. (has_immunity X T)))) => (greater (hazard_of_mortality X T) (hazard_of_mortality X T0)))))) (greater (eta) (zero)) (All X, (All T0, (All T, (((organization X) /\ ((has_immunity X T0) /\ (has_immunity X T))) => ((hazard_of_mortality X T0) = (hazard_of_mortality X T)))))) (-. ((greater (hazard_of_mortality T_0 T_3) (hazard_of_mortality T_0 T_1)) /\ ((greater (hazard_of_mortality T_0 T_1) (hazard_of_mortality T_0 T_4)) /\ ((hazard_of_mortality T_0 T_4) = (hazard_of_mortality T_0 T_2))))) ### Definition-Pseudo(smaller) 99
% 23.67/23.88 101. (greater (age T_0 T_1) (eta)) (-. (greater (age T_0 T_1) (eta))) ### Axiom
% 23.67/23.88 102. ((age T_0 T_4) = (eta)) ((age T_0 T_4) != (eta)) ### Axiom
% 23.67/23.88 103. (-. ((smaller (age T_0 T_4) (eta)) \/ ((age T_0 T_4) = (eta)))) ((age T_0 T_4) = (eta)) ### NotOr 102
% 23.67/23.88 104. (-. (smaller_or_equal (age T_0 T_4) (eta))) ((age T_0 T_4) = (eta)) ### Definition-Pseudo(smaller_or_equal) 103
% 23.67/23.88 105. ((smaller_or_equal (age T_0 T_4) (eta)) => (has_immunity T_0 T_4)) (-. (greater (hazard_of_mortality T_0 T_1) (hazard_of_mortality T_0 T_4))) (-. (has_immunity T_0 T_1)) (organization T_0) (All X, (All T0, (All T, (((organization X) /\ ((has_immunity X T0) /\ (-. (has_immunity X T)))) => (greater (hazard_of_mortality X T) (hazard_of_mortality X T0)))))) ((age T_0 T_4) = (eta)) ### Imply 104 73
% 23.67/23.88 106. ((organization T_0) /\ (((smaller_or_equal (age T_0 T_4) (eta)) => (has_immunity T_0 T_4)) /\ ((greater (age T_0 T_4) (eta)) => (-. (has_immunity T_0 T_4))))) ((age T_0 T_4) = (eta)) (All X, (All T0, (All T, (((organization X) /\ ((has_immunity X T0) /\ (-. (has_immunity X T)))) => (greater (hazard_of_mortality X T) (hazard_of_mortality X T0)))))) (organization T_0) (-. (has_immunity T_0 T_1)) (-. (greater (hazard_of_mortality T_0 T_1) (hazard_of_mortality T_0 T_4))) ### ConjTree 105
% 23.67/23.88 107. (All T, ((organization T_0) /\ (((smaller_or_equal (age T_0 T) (eta)) => (has_immunity T_0 T)) /\ ((greater (age T_0 T) (eta)) => (-. (has_immunity T_0 T)))))) (-. (greater (hazard_of_mortality T_0 T_1) (hazard_of_mortality T_0 T_4))) (-. (has_immunity T_0 T_1)) (organization T_0) (All X, (All T0, (All T, (((organization X) /\ ((has_immunity X T0) /\ (-. (has_immunity X T)))) => (greater (hazard_of_mortality X T) (hazard_of_mortality X T0)))))) ((age T_0 T_4) = (eta)) ### All 106
% 23.67/23.88 108. ((greater (age T_0 T_1) (eta)) => (-. (has_immunity T_0 T_1))) ((age T_0 T_4) = (eta)) (All X, (All T0, (All T, (((organization X) /\ ((has_immunity X T0) /\ (-. (has_immunity X T)))) => (greater (hazard_of_mortality X T) (hazard_of_mortality X T0)))))) (organization T_0) (-. (greater (hazard_of_mortality T_0 T_1) (hazard_of_mortality T_0 T_4))) (All T, ((organization T_0) /\ (((smaller_or_equal (age T_0 T) (eta)) => (has_immunity T_0 T)) /\ ((greater (age T_0 T) (eta)) => (-. (has_immunity T_0 T)))))) (greater (age T_0 T_1) (eta)) ### Imply 101 107
% 23.67/23.88 109. ((organization T_0) /\ (((smaller_or_equal (age T_0 T_1) (eta)) => (has_immunity T_0 T_1)) /\ ((greater (age T_0 T_1) (eta)) => (-. (has_immunity T_0 T_1))))) (greater (age T_0 T_1) (eta)) (All T, ((organization T_0) /\ (((smaller_or_equal (age T_0 T) (eta)) => (has_immunity T_0 T)) /\ ((greater (age T_0 T) (eta)) => (-. (has_immunity T_0 T)))))) (-. (greater (hazard_of_mortality T_0 T_1) (hazard_of_mortality T_0 T_4))) (organization T_0) (All X, (All T0, (All T, (((organization X) /\ ((has_immunity X T0) /\ (-. (has_immunity X T)))) => (greater (hazard_of_mortality X T) (hazard_of_mortality X T0)))))) ((age T_0 T_4) = (eta)) ### ConjTree 108
% 23.67/23.88 110. ((age T_0 T_4) = (eta)) (All X, (All T0, (All T, (((organization X) /\ ((has_immunity X T0) /\ (-. (has_immunity X T)))) => (greater (hazard_of_mortality X T) (hazard_of_mortality X T0)))))) (organization T_0) (-. (greater (hazard_of_mortality T_0 T_1) (hazard_of_mortality T_0 T_4))) (All T, ((organization T_0) /\ (((smaller_or_equal (age T_0 T) (eta)) => (has_immunity T_0 T)) /\ ((greater (age T_0 T) (eta)) => (-. (has_immunity T_0 T)))))) (greater (age T_0 T_1) (eta)) ### All 109
% 23.67/23.89 111. ((smaller_or_equal (age T_0 T_4) (eta)) => (has_immunity T_0 T_4)) ((hazard_of_mortality T_0 T_4) != (hazard_of_mortality T_0 T_2)) (has_immunity T_0 T_2) (organization T_0) (All X, (All T0, (All T, (((organization X) /\ ((has_immunity X T0) /\ (has_immunity X T))) => ((hazard_of_mortality X T0) = (hazard_of_mortality X T)))))) ((age T_0 T_4) = (eta)) ### Imply 104 92
% 23.67/23.89 112. ((organization T_0) /\ (((smaller_or_equal (age T_0 T_4) (eta)) => (has_immunity T_0 T_4)) /\ ((greater (age T_0 T_4) (eta)) => (-. (has_immunity T_0 T_4))))) ((age T_0 T_4) = (eta)) (All X, (All T0, (All T, (((organization X) /\ ((has_immunity X T0) /\ (has_immunity X T))) => ((hazard_of_mortality X T0) = (hazard_of_mortality X T)))))) (organization T_0) (has_immunity T_0 T_2) ((hazard_of_mortality T_0 T_4) != (hazard_of_mortality T_0 T_2)) ### ConjTree 111
% 23.67/23.89 113. (All T, ((organization T_0) /\ (((smaller_or_equal (age T_0 T) (eta)) => (has_immunity T_0 T)) /\ ((greater (age T_0 T) (eta)) => (-. (has_immunity T_0 T)))))) ((hazard_of_mortality T_0 T_4) != (hazard_of_mortality T_0 T_2)) (has_immunity T_0 T_2) (organization T_0) (All X, (All T0, (All T, (((organization X) /\ ((has_immunity X T0) /\ (has_immunity X T))) => ((hazard_of_mortality X T0) = (hazard_of_mortality X T)))))) ((age T_0 T_4) = (eta)) ### All 112
% 23.67/23.89 114. ((smaller_or_equal (age T_0 T_2) (eta)) => (has_immunity T_0 T_2)) ((age T_0 T_4) = (eta)) (All X, (All T0, (All T, (((organization X) /\ ((has_immunity X T0) /\ (has_immunity X T))) => ((hazard_of_mortality X T0) = (hazard_of_mortality X T)))))) (organization T_0) ((hazard_of_mortality T_0 T_4) != (hazard_of_mortality T_0 T_2)) (All T, ((organization T_0) /\ (((smaller_or_equal (age T_0 T) (eta)) => (has_immunity T_0 T)) /\ ((greater (age T_0 T) (eta)) => (-. (has_immunity T_0 T)))))) (greater (eta) (zero)) ((age T_0 T_2) = (zero)) ### Imply 84 113
% 23.67/23.89 115. ((organization T_0) /\ (((smaller_or_equal (age T_0 T_2) (eta)) => (has_immunity T_0 T_2)) /\ ((greater (age T_0 T_2) (eta)) => (-. (has_immunity T_0 T_2))))) ((age T_0 T_2) = (zero)) (greater (eta) (zero)) (All T, ((organization T_0) /\ (((smaller_or_equal (age T_0 T) (eta)) => (has_immunity T_0 T)) /\ ((greater (age T_0 T) (eta)) => (-. (has_immunity T_0 T)))))) ((hazard_of_mortality T_0 T_4) != (hazard_of_mortality T_0 T_2)) (organization T_0) (All X, (All T0, (All T, (((organization X) /\ ((has_immunity X T0) /\ (has_immunity X T))) => ((hazard_of_mortality X T0) = (hazard_of_mortality X T)))))) ((age T_0 T_4) = (eta)) ### ConjTree 114
% 23.67/23.89 116. ((age T_0 T_4) = (eta)) (All X, (All T0, (All T, (((organization X) /\ ((has_immunity X T0) /\ (has_immunity X T))) => ((hazard_of_mortality X T0) = (hazard_of_mortality X T)))))) (organization T_0) ((hazard_of_mortality T_0 T_4) != (hazard_of_mortality T_0 T_2)) (All T, ((organization T_0) /\ (((smaller_or_equal (age T_0 T) (eta)) => (has_immunity T_0 T)) /\ ((greater (age T_0 T) (eta)) => (-. (has_immunity T_0 T)))))) (greater (eta) (zero)) ((age T_0 T_2) = (zero)) ### All 115
% 23.67/23.89 117. (-. ((greater (hazard_of_mortality T_0 T_3) (hazard_of_mortality T_0 T_1)) /\ ((greater (hazard_of_mortality T_0 T_1) (hazard_of_mortality T_0 T_4)) /\ ((hazard_of_mortality T_0 T_4) = (hazard_of_mortality T_0 T_2))))) (greater (eta) (zero)) (All X, (All T0, (All T, (((organization X) /\ ((has_immunity X T0) /\ (has_immunity X T))) => ((hazard_of_mortality X T0) = (hazard_of_mortality X T)))))) (All X, (All T0, (All T, (((organization X) /\ ((has_immunity X T0) /\ (-. (has_immunity X T)))) => (greater (hazard_of_mortality X T) (hazard_of_mortality X T0)))))) ((age T_0 T_4) = (eta)) (All X, (All T0, (All T, (((organization X) /\ ((-. (has_immunity X T0)) /\ ((-. (has_immunity X T)) /\ (greater (capability X T) (capability X T0))))) => (greater (hazard_of_mortality X T0) (hazard_of_mortality X T)))))) (All T, ((organization T_0) /\ (((smaller_or_equal (age T_0 T) (eta)) => (has_immunity T_0 T)) /\ ((greater (age T_0 T) (eta)) => (-. (has_immunity T_0 T)))))) (greater (age T_0 T_3) (sigma)) (greater (sigma) (eta)) (All X, (All T0, (All T, (((organization X) /\ ((is_aligned X T0) /\ (-. (is_aligned X T)))) => (greater (capability X T0) (capability X T)))))) (All X, (All Y, (-. ((greater X Y) /\ (greater Y X))))) (greater (sigma) (age T_0 T_1)) (All X, (All T0, (All T, (((organization X) /\ ((age X T0) = (zero))) => ((greater (age X T) (sigma)) <=> (dissimilar X T0 T)))))) ((age T_0 T_2) = (zero)) (organization T_0) (greater (age T_0 T_1) (eta)) (All X, (All T, (((organization X) /\ ((age X T) = (zero))) => (is_aligned X T)))) ### DisjTree 60 110 116
% 23.67/23.90 118. ((smaller (age T_0 T_4) (eta)) \/ ((age T_0 T_4) = (eta))) (-. ((greater (hazard_of_mortality T_0 T_3) (hazard_of_mortality T_0 T_1)) /\ ((greater (hazard_of_mortality T_0 T_1) (hazard_of_mortality T_0 T_4)) /\ ((hazard_of_mortality T_0 T_4) = (hazard_of_mortality T_0 T_2))))) (All X, (All T0, (All T, (((organization X) /\ ((has_immunity X T0) /\ (has_immunity X T))) => ((hazard_of_mortality X T0) = (hazard_of_mortality X T)))))) (greater (eta) (zero)) (All X, (All T0, (All T, (((organization X) /\ ((has_immunity X T0) /\ (-. (has_immunity X T)))) => (greater (hazard_of_mortality X T) (hazard_of_mortality X T0)))))) (All X, (All T0, (All T, (((organization X) /\ ((-. (has_immunity X T0)) /\ ((-. (has_immunity X T)) /\ (greater (capability X T) (capability X T0))))) => (greater (hazard_of_mortality X T0) (hazard_of_mortality X T)))))) (All T, ((organization T_0) /\ (((smaller_or_equal (age T_0 T) (eta)) => (has_immunity T_0 T)) /\ ((greater (age T_0 T) (eta)) => (-. (has_immunity T_0 T)))))) (greater (age T_0 T_3) (sigma)) (greater (sigma) (eta)) (All X, (All T0, (All T, (((organization X) /\ ((is_aligned X T0) /\ (-. (is_aligned X T)))) => (greater (capability X T0) (capability X T)))))) (All X, (All Y, (-. ((greater X Y) /\ (greater Y X))))) (greater (sigma) (age T_0 T_1)) (All X, (All T0, (All T, (((organization X) /\ ((age X T0) = (zero))) => ((greater (age X T) (sigma)) <=> (dissimilar X T0 T)))))) ((age T_0 T_2) = (zero)) (organization T_0) (greater (age T_0 T_1) (eta)) (All X, (All T, (((organization X) /\ ((age X T) = (zero))) => (is_aligned X T)))) ### Or 100 117
% 23.67/23.90 119. (smaller (age T_0 T_1) (sigma)) (All X, (All T, (((organization X) /\ ((age X T) = (zero))) => (is_aligned X T)))) (greater (age T_0 T_1) (eta)) (organization T_0) ((age T_0 T_2) = (zero)) (All X, (All T0, (All T, (((organization X) /\ ((age X T0) = (zero))) => ((greater (age X T) (sigma)) <=> (dissimilar X T0 T)))))) (All X, (All Y, (-. ((greater X Y) /\ (greater Y X))))) (All X, (All T0, (All T, (((organization X) /\ ((is_aligned X T0) /\ (-. (is_aligned X T)))) => (greater (capability X T0) (capability X T)))))) (greater (sigma) (eta)) (greater (age T_0 T_3) (sigma)) (All T, ((organization T_0) /\ (((smaller_or_equal (age T_0 T) (eta)) => (has_immunity T_0 T)) /\ ((greater (age T_0 T) (eta)) => (-. (has_immunity T_0 T)))))) (All X, (All T0, (All T, (((organization X) /\ ((-. (has_immunity X T0)) /\ ((-. (has_immunity X T)) /\ (greater (capability X T) (capability X T0))))) => (greater (hazard_of_mortality X T0) (hazard_of_mortality X T)))))) (All X, (All T0, (All T, (((organization X) /\ ((has_immunity X T0) /\ (-. (has_immunity X T)))) => (greater (hazard_of_mortality X T) (hazard_of_mortality X T0)))))) (greater (eta) (zero)) (All X, (All T0, (All T, (((organization X) /\ ((has_immunity X T0) /\ (has_immunity X T))) => ((hazard_of_mortality X T0) = (hazard_of_mortality X T)))))) (-. ((greater (hazard_of_mortality T_0 T_3) (hazard_of_mortality T_0 T_1)) /\ ((greater (hazard_of_mortality T_0 T_1) (hazard_of_mortality T_0 T_4)) /\ ((hazard_of_mortality T_0 T_4) = (hazard_of_mortality T_0 T_2))))) ((smaller (age T_0 T_4) (eta)) \/ ((age T_0 T_4) = (eta))) ### Definition-Pseudo(smaller) 118
% 23.67/23.90 120. ((sigma) != (sigma)) ### NotEqual
% 23.67/23.90 121. (greater (age T_0 T_1) (eta)) (-. (greater (age T_0 T_1) (eta))) ### Axiom
% 23.67/23.90 122. (organization T_0) (-. (organization T_0)) ### Axiom
% 23.67/23.90 123. ((age T_0 T_2) = (zero)) ((age T_0 T_2) != (zero)) ### Axiom
% 23.67/23.90 124. (organization T_0) (-. (organization T_0)) ### Axiom
% 23.67/23.90 125. (-. (has_immunity T_0 T_1)) (has_immunity T_0 T_1) ### Axiom
% 23.67/23.90 126. (organization T_0) (-. (organization T_0)) ### Axiom
% 23.67/23.90 127. (-. (greater (capability T_0 T_1) (capability T_0 T_3))) (greater (capability T_0 T_1) (capability T_0 T_3)) ### Axiom
% 23.67/23.90 128. (((organization T_0) /\ ((is_aligned T_0 T_1) /\ (-. (is_aligned T_0 T_3)))) => (greater (capability T_0 T_1) (capability T_0 T_3))) (-. (greater (capability T_0 T_1) (capability T_0 T_3))) (greater (age T_0 T_3) (sigma)) ((age T_0 T_2) = (zero)) (-. (greater (age T_0 T_1) (sigma))) (is_aligned T_0 T_2) (All T0, (All T, (((organization T_0) /\ ((age T_0 T0) = (zero))) => ((greater (age T_0 T) (sigma)) <=> (dissimilar T_0 T0 T))))) (organization T_0) ### DisjTree 126 27 43 127
% 23.67/23.90 129. (All T, (((organization T_0) /\ ((is_aligned T_0 T_1) /\ (-. (is_aligned T_0 T)))) => (greater (capability T_0 T_1) (capability T_0 T)))) (organization T_0) (All T0, (All T, (((organization T_0) /\ ((age T_0 T0) = (zero))) => ((greater (age T_0 T) (sigma)) <=> (dissimilar T_0 T0 T))))) (is_aligned T_0 T_2) (-. (greater (age T_0 T_1) (sigma))) ((age T_0 T_2) = (zero)) (greater (age T_0 T_3) (sigma)) (-. (greater (capability T_0 T_1) (capability T_0 T_3))) ### All 128
% 23.67/23.90 130. (All T0, (All T, (((organization T_0) /\ ((is_aligned T_0 T0) /\ (-. (is_aligned T_0 T)))) => (greater (capability T_0 T0) (capability T_0 T))))) (-. (greater (capability T_0 T_1) (capability T_0 T_3))) (greater (age T_0 T_3) (sigma)) ((age T_0 T_2) = (zero)) (-. (greater (age T_0 T_1) (sigma))) (is_aligned T_0 T_2) (All T0, (All T, (((organization T_0) /\ ((age T_0 T0) = (zero))) => ((greater (age T_0 T) (sigma)) <=> (dissimilar T_0 T0 T))))) (organization T_0) ### All 129
% 23.67/23.90 131. (All X, (All T0, (All T, (((organization X) /\ ((is_aligned X T0) /\ (-. (is_aligned X T)))) => (greater (capability X T0) (capability X T)))))) (organization T_0) (All T0, (All T, (((organization T_0) /\ ((age T_0 T0) = (zero))) => ((greater (age T_0 T) (sigma)) <=> (dissimilar T_0 T0 T))))) (is_aligned T_0 T_2) (-. (greater (age T_0 T_1) (sigma))) ((age T_0 T_2) = (zero)) (greater (age T_0 T_3) (sigma)) (-. (greater (capability T_0 T_1) (capability T_0 T_3))) ### All 130
% 23.67/23.90 132. (-. (greater (hazard_of_mortality T_0 T_3) (hazard_of_mortality T_0 T_1))) (greater (hazard_of_mortality T_0 T_3) (hazard_of_mortality T_0 T_1)) ### Axiom
% 23.67/23.90 133. (((organization T_0) /\ ((-. (has_immunity T_0 T_3)) /\ ((-. (has_immunity T_0 T_1)) /\ (greater (capability T_0 T_1) (capability T_0 T_3))))) => (greater (hazard_of_mortality T_0 T_3) (hazard_of_mortality T_0 T_1))) (-. (greater (hazard_of_mortality T_0 T_3) (hazard_of_mortality T_0 T_1))) ((age T_0 T_2) = (zero)) (-. (greater (age T_0 T_1) (sigma))) (is_aligned T_0 T_2) (All T0, (All T, (((organization T_0) /\ ((age T_0 T0) = (zero))) => ((greater (age T_0 T) (sigma)) <=> (dissimilar T_0 T0 T))))) (All X, (All T0, (All T, (((organization X) /\ ((is_aligned X T0) /\ (-. (is_aligned X T)))) => (greater (capability X T0) (capability X T)))))) (-. (has_immunity T_0 T_1)) (greater (sigma) (eta)) (greater (age T_0 T_3) (sigma)) (All T, ((organization T_0) /\ (((smaller_or_equal (age T_0 T) (eta)) => (has_immunity T_0 T)) /\ ((greater (age T_0 T) (eta)) => (-. (has_immunity T_0 T)))))) (organization T_0) ### DisjTree 124 11 125 131 132
% 23.67/23.90 134. (All T, (((organization T_0) /\ ((-. (has_immunity T_0 T_3)) /\ ((-. (has_immunity T_0 T)) /\ (greater (capability T_0 T) (capability T_0 T_3))))) => (greater (hazard_of_mortality T_0 T_3) (hazard_of_mortality T_0 T)))) (organization T_0) (All T, ((organization T_0) /\ (((smaller_or_equal (age T_0 T) (eta)) => (has_immunity T_0 T)) /\ ((greater (age T_0 T) (eta)) => (-. (has_immunity T_0 T)))))) (greater (age T_0 T_3) (sigma)) (greater (sigma) (eta)) (-. (has_immunity T_0 T_1)) (All X, (All T0, (All T, (((organization X) /\ ((is_aligned X T0) /\ (-. (is_aligned X T)))) => (greater (capability X T0) (capability X T)))))) (All T0, (All T, (((organization T_0) /\ ((age T_0 T0) = (zero))) => ((greater (age T_0 T) (sigma)) <=> (dissimilar T_0 T0 T))))) (is_aligned T_0 T_2) (-. (greater (age T_0 T_1) (sigma))) ((age T_0 T_2) = (zero)) (-. (greater (hazard_of_mortality T_0 T_3) (hazard_of_mortality T_0 T_1))) ### All 133
% 23.67/23.91 135. (All T0, (All T, (((organization T_0) /\ ((-. (has_immunity T_0 T0)) /\ ((-. (has_immunity T_0 T)) /\ (greater (capability T_0 T) (capability T_0 T0))))) => (greater (hazard_of_mortality T_0 T0) (hazard_of_mortality T_0 T))))) (-. (greater (hazard_of_mortality T_0 T_3) (hazard_of_mortality T_0 T_1))) ((age T_0 T_2) = (zero)) (-. (greater (age T_0 T_1) (sigma))) (is_aligned T_0 T_2) (All T0, (All T, (((organization T_0) /\ ((age T_0 T0) = (zero))) => ((greater (age T_0 T) (sigma)) <=> (dissimilar T_0 T0 T))))) (All X, (All T0, (All T, (((organization X) /\ ((is_aligned X T0) /\ (-. (is_aligned X T)))) => (greater (capability X T0) (capability X T)))))) (-. (has_immunity T_0 T_1)) (greater (sigma) (eta)) (greater (age T_0 T_3) (sigma)) (All T, ((organization T_0) /\ (((smaller_or_equal (age T_0 T) (eta)) => (has_immunity T_0 T)) /\ ((greater (age T_0 T) (eta)) => (-. (has_immunity T_0 T)))))) (organization T_0) ### All 134
% 23.67/23.91 136. (All X, (All T0, (All T, (((organization X) /\ ((-. (has_immunity X T0)) /\ ((-. (has_immunity X T)) /\ (greater (capability X T) (capability X T0))))) => (greater (hazard_of_mortality X T0) (hazard_of_mortality X T)))))) (organization T_0) (All T, ((organization T_0) /\ (((smaller_or_equal (age T_0 T) (eta)) => (has_immunity T_0 T)) /\ ((greater (age T_0 T) (eta)) => (-. (has_immunity T_0 T)))))) (greater (age T_0 T_3) (sigma)) (greater (sigma) (eta)) (-. (has_immunity T_0 T_1)) (All X, (All T0, (All T, (((organization X) /\ ((is_aligned X T0) /\ (-. (is_aligned X T)))) => (greater (capability X T0) (capability X T)))))) (All T0, (All T, (((organization T_0) /\ ((age T_0 T0) = (zero))) => ((greater (age T_0 T) (sigma)) <=> (dissimilar T_0 T0 T))))) (is_aligned T_0 T_2) (-. (greater (age T_0 T_1) (sigma))) ((age T_0 T_2) = (zero)) (-. (greater (hazard_of_mortality T_0 T_3) (hazard_of_mortality T_0 T_1))) ### All 135
% 23.67/23.91 137. (((organization T_0) /\ ((age T_0 T_2) = (zero))) => (is_aligned T_0 T_2)) (-. (greater (hazard_of_mortality T_0 T_3) (hazard_of_mortality T_0 T_1))) (-. (greater (age T_0 T_1) (sigma))) (All T0, (All T, (((organization T_0) /\ ((age T_0 T0) = (zero))) => ((greater (age T_0 T) (sigma)) <=> (dissimilar T_0 T0 T))))) (All X, (All T0, (All T, (((organization X) /\ ((is_aligned X T0) /\ (-. (is_aligned X T)))) => (greater (capability X T0) (capability X T)))))) (-. (has_immunity T_0 T_1)) (greater (sigma) (eta)) (greater (age T_0 T_3) (sigma)) (All T, ((organization T_0) /\ (((smaller_or_equal (age T_0 T) (eta)) => (has_immunity T_0 T)) /\ ((greater (age T_0 T) (eta)) => (-. (has_immunity T_0 T)))))) (All X, (All T0, (All T, (((organization X) /\ ((-. (has_immunity X T0)) /\ ((-. (has_immunity X T)) /\ (greater (capability X T) (capability X T0))))) => (greater (hazard_of_mortality X T0) (hazard_of_mortality X T)))))) ((age T_0 T_2) = (zero)) (organization T_0) ### DisjTree 122 123 136
% 23.67/23.91 138. (All T, (((organization T_0) /\ ((age T_0 T) = (zero))) => (is_aligned T_0 T))) (organization T_0) ((age T_0 T_2) = (zero)) (All X, (All T0, (All T, (((organization X) /\ ((-. (has_immunity X T0)) /\ ((-. (has_immunity X T)) /\ (greater (capability X T) (capability X T0))))) => (greater (hazard_of_mortality X T0) (hazard_of_mortality X T)))))) (All T, ((organization T_0) /\ (((smaller_or_equal (age T_0 T) (eta)) => (has_immunity T_0 T)) /\ ((greater (age T_0 T) (eta)) => (-. (has_immunity T_0 T)))))) (greater (age T_0 T_3) (sigma)) (greater (sigma) (eta)) (-. (has_immunity T_0 T_1)) (All X, (All T0, (All T, (((organization X) /\ ((is_aligned X T0) /\ (-. (is_aligned X T)))) => (greater (capability X T0) (capability X T)))))) (All T0, (All T, (((organization T_0) /\ ((age T_0 T0) = (zero))) => ((greater (age T_0 T) (sigma)) <=> (dissimilar T_0 T0 T))))) (-. (greater (age T_0 T_1) (sigma))) (-. (greater (hazard_of_mortality T_0 T_3) (hazard_of_mortality T_0 T_1))) ### All 137
% 23.67/23.91 139. (All X, (All T0, (All T, (((organization X) /\ ((age X T0) = (zero))) => ((greater (age X T) (sigma)) <=> (dissimilar X T0 T)))))) (-. (greater (hazard_of_mortality T_0 T_3) (hazard_of_mortality T_0 T_1))) (-. (greater (age T_0 T_1) (sigma))) (All X, (All T0, (All T, (((organization X) /\ ((is_aligned X T0) /\ (-. (is_aligned X T)))) => (greater (capability X T0) (capability X T)))))) (-. (has_immunity T_0 T_1)) (greater (sigma) (eta)) (greater (age T_0 T_3) (sigma)) (All T, ((organization T_0) /\ (((smaller_or_equal (age T_0 T) (eta)) => (has_immunity T_0 T)) /\ ((greater (age T_0 T) (eta)) => (-. (has_immunity T_0 T)))))) (All X, (All T0, (All T, (((organization X) /\ ((-. (has_immunity X T0)) /\ ((-. (has_immunity X T)) /\ (greater (capability X T) (capability X T0))))) => (greater (hazard_of_mortality X T0) (hazard_of_mortality X T)))))) ((age T_0 T_2) = (zero)) (organization T_0) (All T, (((organization T_0) /\ ((age T_0 T) = (zero))) => (is_aligned T_0 T))) ### All 138
% 23.67/23.91 140. ((greater (age T_0 T_1) (eta)) => (-. (has_immunity T_0 T_1))) (All T, (((organization T_0) /\ ((age T_0 T) = (zero))) => (is_aligned T_0 T))) (organization T_0) ((age T_0 T_2) = (zero)) (All X, (All T0, (All T, (((organization X) /\ ((-. (has_immunity X T0)) /\ ((-. (has_immunity X T)) /\ (greater (capability X T) (capability X T0))))) => (greater (hazard_of_mortality X T0) (hazard_of_mortality X T)))))) (All T, ((organization T_0) /\ (((smaller_or_equal (age T_0 T) (eta)) => (has_immunity T_0 T)) /\ ((greater (age T_0 T) (eta)) => (-. (has_immunity T_0 T)))))) (greater (age T_0 T_3) (sigma)) (greater (sigma) (eta)) (All X, (All T0, (All T, (((organization X) /\ ((is_aligned X T0) /\ (-. (is_aligned X T)))) => (greater (capability X T0) (capability X T)))))) (-. (greater (age T_0 T_1) (sigma))) (-. (greater (hazard_of_mortality T_0 T_3) (hazard_of_mortality T_0 T_1))) (All X, (All T0, (All T, (((organization X) /\ ((age X T0) = (zero))) => ((greater (age X T) (sigma)) <=> (dissimilar X T0 T)))))) (greater (age T_0 T_1) (eta)) ### Imply 121 139
% 23.67/23.91 141. ((organization T_0) /\ (((smaller_or_equal (age T_0 T_1) (eta)) => (has_immunity T_0 T_1)) /\ ((greater (age T_0 T_1) (eta)) => (-. (has_immunity T_0 T_1))))) (greater (age T_0 T_1) (eta)) (All X, (All T0, (All T, (((organization X) /\ ((age X T0) = (zero))) => ((greater (age X T) (sigma)) <=> (dissimilar X T0 T)))))) (-. (greater (hazard_of_mortality T_0 T_3) (hazard_of_mortality T_0 T_1))) (-. (greater (age T_0 T_1) (sigma))) (All X, (All T0, (All T, (((organization X) /\ ((is_aligned X T0) /\ (-. (is_aligned X T)))) => (greater (capability X T0) (capability X T)))))) (greater (sigma) (eta)) (greater (age T_0 T_3) (sigma)) (All T, ((organization T_0) /\ (((smaller_or_equal (age T_0 T) (eta)) => (has_immunity T_0 T)) /\ ((greater (age T_0 T) (eta)) => (-. (has_immunity T_0 T)))))) (All X, (All T0, (All T, (((organization X) /\ ((-. (has_immunity X T0)) /\ ((-. (has_immunity X T)) /\ (greater (capability X T) (capability X T0))))) => (greater (hazard_of_mortality X T0) (hazard_of_mortality X T)))))) ((age T_0 T_2) = (zero)) (organization T_0) (All T, (((organization T_0) /\ ((age T_0 T) = (zero))) => (is_aligned T_0 T))) ### ConjTree 140
% 23.67/23.91 142. (All T, (((organization T_0) /\ ((age T_0 T) = (zero))) => (is_aligned T_0 T))) (organization T_0) ((age T_0 T_2) = (zero)) (All X, (All T0, (All T, (((organization X) /\ ((-. (has_immunity X T0)) /\ ((-. (has_immunity X T)) /\ (greater (capability X T) (capability X T0))))) => (greater (hazard_of_mortality X T0) (hazard_of_mortality X T)))))) (All T, ((organization T_0) /\ (((smaller_or_equal (age T_0 T) (eta)) => (has_immunity T_0 T)) /\ ((greater (age T_0 T) (eta)) => (-. (has_immunity T_0 T)))))) (greater (age T_0 T_3) (sigma)) (greater (sigma) (eta)) (All X, (All T0, (All T, (((organization X) /\ ((is_aligned X T0) /\ (-. (is_aligned X T)))) => (greater (capability X T0) (capability X T)))))) (-. (greater (age T_0 T_1) (sigma))) (-. (greater (hazard_of_mortality T_0 T_3) (hazard_of_mortality T_0 T_1))) (All X, (All T0, (All T, (((organization X) /\ ((age X T0) = (zero))) => ((greater (age X T) (sigma)) <=> (dissimilar X T0 T)))))) (greater (age T_0 T_1) (eta)) ### All 141
% 23.67/23.92 143. ((age T_0 T_1) = (sigma)) ((age T_0 T_1) != (sigma)) ### Axiom
% 23.67/23.92 144. (-. (greater (sigma) (sigma))) ((age T_0 T_1) = (sigma)) (greater (age T_0 T_1) (eta)) (All X, (All T0, (All T, (((organization X) /\ ((age X T0) = (zero))) => ((greater (age X T) (sigma)) <=> (dissimilar X T0 T)))))) (-. (greater (hazard_of_mortality T_0 T_3) (hazard_of_mortality T_0 T_1))) (All X, (All T0, (All T, (((organization X) /\ ((is_aligned X T0) /\ (-. (is_aligned X T)))) => (greater (capability X T0) (capability X T)))))) (greater (sigma) (eta)) (greater (age T_0 T_3) (sigma)) (All T, ((organization T_0) /\ (((smaller_or_equal (age T_0 T) (eta)) => (has_immunity T_0 T)) /\ ((greater (age T_0 T) (eta)) => (-. (has_immunity T_0 T)))))) (All X, (All T0, (All T, (((organization X) /\ ((-. (has_immunity X T0)) /\ ((-. (has_immunity X T)) /\ (greater (capability X T) (capability X T0))))) => (greater (hazard_of_mortality X T0) (hazard_of_mortality X T)))))) ((age T_0 T_2) = (zero)) (organization T_0) (All T, (((organization T_0) /\ ((age T_0 T) = (zero))) => (is_aligned T_0 T))) ### TransEq2 120 142 143
% 23.67/23.92 145. (-. ((greater (sigma) (sigma)) /\ (greater (sigma) (sigma)))) (All T, (((organization T_0) /\ ((age T_0 T) = (zero))) => (is_aligned T_0 T))) (organization T_0) ((age T_0 T_2) = (zero)) (All X, (All T0, (All T, (((organization X) /\ ((-. (has_immunity X T0)) /\ ((-. (has_immunity X T)) /\ (greater (capability X T) (capability X T0))))) => (greater (hazard_of_mortality X T0) (hazard_of_mortality X T)))))) (All T, ((organization T_0) /\ (((smaller_or_equal (age T_0 T) (eta)) => (has_immunity T_0 T)) /\ ((greater (age T_0 T) (eta)) => (-. (has_immunity T_0 T)))))) (greater (age T_0 T_3) (sigma)) (greater (sigma) (eta)) (All X, (All T0, (All T, (((organization X) /\ ((is_aligned X T0) /\ (-. (is_aligned X T)))) => (greater (capability X T0) (capability X T)))))) (-. (greater (hazard_of_mortality T_0 T_3) (hazard_of_mortality T_0 T_1))) (All X, (All T0, (All T, (((organization X) /\ ((age X T0) = (zero))) => ((greater (age X T) (sigma)) <=> (dissimilar X T0 T)))))) (greater (age T_0 T_1) (eta)) ((age T_0 T_1) = (sigma)) ### NotAnd 144 144
% 23.67/23.92 146. (All Y, (-. ((greater (sigma) Y) /\ (greater Y (sigma))))) ((age T_0 T_1) = (sigma)) (greater (age T_0 T_1) (eta)) (All X, (All T0, (All T, (((organization X) /\ ((age X T0) = (zero))) => ((greater (age X T) (sigma)) <=> (dissimilar X T0 T)))))) (-. (greater (hazard_of_mortality T_0 T_3) (hazard_of_mortality T_0 T_1))) (All X, (All T0, (All T, (((organization X) /\ ((is_aligned X T0) /\ (-. (is_aligned X T)))) => (greater (capability X T0) (capability X T)))))) (greater (sigma) (eta)) (greater (age T_0 T_3) (sigma)) (All T, ((organization T_0) /\ (((smaller_or_equal (age T_0 T) (eta)) => (has_immunity T_0 T)) /\ ((greater (age T_0 T) (eta)) => (-. (has_immunity T_0 T)))))) (All X, (All T0, (All T, (((organization X) /\ ((-. (has_immunity X T0)) /\ ((-. (has_immunity X T)) /\ (greater (capability X T) (capability X T0))))) => (greater (hazard_of_mortality X T0) (hazard_of_mortality X T)))))) ((age T_0 T_2) = (zero)) (organization T_0) (All T, (((organization T_0) /\ ((age T_0 T) = (zero))) => (is_aligned T_0 T))) ### All 145
% 23.67/23.92 147. (All X, (All Y, (-. ((greater X Y) /\ (greater Y X))))) (All T, (((organization T_0) /\ ((age T_0 T) = (zero))) => (is_aligned T_0 T))) (organization T_0) ((age T_0 T_2) = (zero)) (All X, (All T0, (All T, (((organization X) /\ ((-. (has_immunity X T0)) /\ ((-. (has_immunity X T)) /\ (greater (capability X T) (capability X T0))))) => (greater (hazard_of_mortality X T0) (hazard_of_mortality X T)))))) (All T, ((organization T_0) /\ (((smaller_or_equal (age T_0 T) (eta)) => (has_immunity T_0 T)) /\ ((greater (age T_0 T) (eta)) => (-. (has_immunity T_0 T)))))) (greater (age T_0 T_3) (sigma)) (greater (sigma) (eta)) (All X, (All T0, (All T, (((organization X) /\ ((is_aligned X T0) /\ (-. (is_aligned X T)))) => (greater (capability X T0) (capability X T)))))) (-. (greater (hazard_of_mortality T_0 T_3) (hazard_of_mortality T_0 T_1))) (All X, (All T0, (All T, (((organization X) /\ ((age X T0) = (zero))) => ((greater (age X T) (sigma)) <=> (dissimilar X T0 T)))))) (greater (age T_0 T_1) (eta)) ((age T_0 T_1) = (sigma)) ### All 146
% 23.67/23.92 148. (All X, (All T, (((organization X) /\ ((age X T) = (zero))) => (is_aligned X T)))) ((age T_0 T_1) = (sigma)) (greater (age T_0 T_1) (eta)) (All X, (All T0, (All T, (((organization X) /\ ((age X T0) = (zero))) => ((greater (age X T) (sigma)) <=> (dissimilar X T0 T)))))) (-. (greater (hazard_of_mortality T_0 T_3) (hazard_of_mortality T_0 T_1))) (All X, (All T0, (All T, (((organization X) /\ ((is_aligned X T0) /\ (-. (is_aligned X T)))) => (greater (capability X T0) (capability X T)))))) (greater (sigma) (eta)) (greater (age T_0 T_3) (sigma)) (All T, ((organization T_0) /\ (((smaller_or_equal (age T_0 T) (eta)) => (has_immunity T_0 T)) /\ ((greater (age T_0 T) (eta)) => (-. (has_immunity T_0 T)))))) (All X, (All T0, (All T, (((organization X) /\ ((-. (has_immunity X T0)) /\ ((-. (has_immunity X T)) /\ (greater (capability X T) (capability X T0))))) => (greater (hazard_of_mortality X T0) (hazard_of_mortality X T)))))) ((age T_0 T_2) = (zero)) (organization T_0) (All X, (All Y, (-. ((greater X Y) /\ (greater Y X))))) ### All 147
% 23.67/23.92 149. (-. ((greater (hazard_of_mortality T_0 T_3) (hazard_of_mortality T_0 T_1)) /\ ((greater (hazard_of_mortality T_0 T_1) (hazard_of_mortality T_0 T_4)) /\ ((hazard_of_mortality T_0 T_4) = (hazard_of_mortality T_0 T_2))))) (All X, (All T0, (All T, (((organization X) /\ ((has_immunity X T0) /\ (has_immunity X T))) => ((hazard_of_mortality X T0) = (hazard_of_mortality X T)))))) (greater (eta) (zero)) (greater (eta) (age T_0 T_4)) (All X, (All T0, (All T, (((organization X) /\ ((has_immunity X T0) /\ (-. (has_immunity X T)))) => (greater (hazard_of_mortality X T) (hazard_of_mortality X T0)))))) (All X, (All Y, (-. ((greater X Y) /\ (greater Y X))))) (organization T_0) ((age T_0 T_2) = (zero)) (All X, (All T0, (All T, (((organization X) /\ ((-. (has_immunity X T0)) /\ ((-. (has_immunity X T)) /\ (greater (capability X T) (capability X T0))))) => (greater (hazard_of_mortality X T0) (hazard_of_mortality X T)))))) (All T, ((organization T_0) /\ (((smaller_or_equal (age T_0 T) (eta)) => (has_immunity T_0 T)) /\ ((greater (age T_0 T) (eta)) => (-. (has_immunity T_0 T)))))) (greater (age T_0 T_3) (sigma)) (greater (sigma) (eta)) (All X, (All T0, (All T, (((organization X) /\ ((is_aligned X T0) /\ (-. (is_aligned X T)))) => (greater (capability X T0) (capability X T)))))) (All X, (All T0, (All T, (((organization X) /\ ((age X T0) = (zero))) => ((greater (age X T) (sigma)) <=> (dissimilar X T0 T)))))) (greater (age T_0 T_1) (eta)) ((age T_0 T_1) = (sigma)) (All X, (All T, (((organization X) /\ ((age X T) = (zero))) => (is_aligned X T)))) ### DisjTree 148 79 98
% 23.67/23.92 150. (smaller (age T_0 T_4) (eta)) (All X, (All T, (((organization X) /\ ((age X T) = (zero))) => (is_aligned X T)))) ((age T_0 T_1) = (sigma)) (greater (age T_0 T_1) (eta)) (All X, (All T0, (All T, (((organization X) /\ ((age X T0) = (zero))) => ((greater (age X T) (sigma)) <=> (dissimilar X T0 T)))))) (All X, (All T0, (All T, (((organization X) /\ ((is_aligned X T0) /\ (-. (is_aligned X T)))) => (greater (capability X T0) (capability X T)))))) (greater (sigma) (eta)) (greater (age T_0 T_3) (sigma)) (All T, ((organization T_0) /\ (((smaller_or_equal (age T_0 T) (eta)) => (has_immunity T_0 T)) /\ ((greater (age T_0 T) (eta)) => (-. (has_immunity T_0 T)))))) (All X, (All T0, (All T, (((organization X) /\ ((-. (has_immunity X T0)) /\ ((-. (has_immunity X T)) /\ (greater (capability X T) (capability X T0))))) => (greater (hazard_of_mortality X T0) (hazard_of_mortality X T)))))) ((age T_0 T_2) = (zero)) (organization T_0) (All X, (All Y, (-. ((greater X Y) /\ (greater Y X))))) (All X, (All T0, (All T, (((organization X) /\ ((has_immunity X T0) /\ (-. (has_immunity X T)))) => (greater (hazard_of_mortality X T) (hazard_of_mortality X T0)))))) (greater (eta) (zero)) (All X, (All T0, (All T, (((organization X) /\ ((has_immunity X T0) /\ (has_immunity X T))) => ((hazard_of_mortality X T0) = (hazard_of_mortality X T)))))) (-. ((greater (hazard_of_mortality T_0 T_3) (hazard_of_mortality T_0 T_1)) /\ ((greater (hazard_of_mortality T_0 T_1) (hazard_of_mortality T_0 T_4)) /\ ((hazard_of_mortality T_0 T_4) = (hazard_of_mortality T_0 T_2))))) ### Definition-Pseudo(smaller) 149
% 23.67/23.93 151. (-. ((greater (hazard_of_mortality T_0 T_3) (hazard_of_mortality T_0 T_1)) /\ ((greater (hazard_of_mortality T_0 T_1) (hazard_of_mortality T_0 T_4)) /\ ((hazard_of_mortality T_0 T_4) = (hazard_of_mortality T_0 T_2))))) (greater (eta) (zero)) (All X, (All T0, (All T, (((organization X) /\ ((has_immunity X T0) /\ (has_immunity X T))) => ((hazard_of_mortality X T0) = (hazard_of_mortality X T)))))) (All X, (All T0, (All T, (((organization X) /\ ((has_immunity X T0) /\ (-. (has_immunity X T)))) => (greater (hazard_of_mortality X T) (hazard_of_mortality X T0)))))) ((age T_0 T_4) = (eta)) (All X, (All Y, (-. ((greater X Y) /\ (greater Y X))))) (organization T_0) ((age T_0 T_2) = (zero)) (All X, (All T0, (All T, (((organization X) /\ ((-. (has_immunity X T0)) /\ ((-. (has_immunity X T)) /\ (greater (capability X T) (capability X T0))))) => (greater (hazard_of_mortality X T0) (hazard_of_mortality X T)))))) (All T, ((organization T_0) /\ (((smaller_or_equal (age T_0 T) (eta)) => (has_immunity T_0 T)) /\ ((greater (age T_0 T) (eta)) => (-. (has_immunity T_0 T)))))) (greater (age T_0 T_3) (sigma)) (greater (sigma) (eta)) (All X, (All T0, (All T, (((organization X) /\ ((is_aligned X T0) /\ (-. (is_aligned X T)))) => (greater (capability X T0) (capability X T)))))) (All X, (All T0, (All T, (((organization X) /\ ((age X T0) = (zero))) => ((greater (age X T) (sigma)) <=> (dissimilar X T0 T)))))) (greater (age T_0 T_1) (eta)) ((age T_0 T_1) = (sigma)) (All X, (All T, (((organization X) /\ ((age X T) = (zero))) => (is_aligned X T)))) ### DisjTree 148 110 116
% 23.67/23.93 152. ((smaller (age T_0 T_4) (eta)) \/ ((age T_0 T_4) = (eta))) (-. ((greater (hazard_of_mortality T_0 T_3) (hazard_of_mortality T_0 T_1)) /\ ((greater (hazard_of_mortality T_0 T_1) (hazard_of_mortality T_0 T_4)) /\ ((hazard_of_mortality T_0 T_4) = (hazard_of_mortality T_0 T_2))))) (All X, (All T0, (All T, (((organization X) /\ ((has_immunity X T0) /\ (has_immunity X T))) => ((hazard_of_mortality X T0) = (hazard_of_mortality X T)))))) (greater (eta) (zero)) (All X, (All T0, (All T, (((organization X) /\ ((has_immunity X T0) /\ (-. (has_immunity X T)))) => (greater (hazard_of_mortality X T) (hazard_of_mortality X T0)))))) (All X, (All Y, (-. ((greater X Y) /\ (greater Y X))))) (organization T_0) ((age T_0 T_2) = (zero)) (All X, (All T0, (All T, (((organization X) /\ ((-. (has_immunity X T0)) /\ ((-. (has_immunity X T)) /\ (greater (capability X T) (capability X T0))))) => (greater (hazard_of_mortality X T0) (hazard_of_mortality X T)))))) (All T, ((organization T_0) /\ (((smaller_or_equal (age T_0 T) (eta)) => (has_immunity T_0 T)) /\ ((greater (age T_0 T) (eta)) => (-. (has_immunity T_0 T)))))) (greater (age T_0 T_3) (sigma)) (greater (sigma) (eta)) (All X, (All T0, (All T, (((organization X) /\ ((is_aligned X T0) /\ (-. (is_aligned X T)))) => (greater (capability X T0) (capability X T)))))) (All X, (All T0, (All T, (((organization X) /\ ((age X T0) = (zero))) => ((greater (age X T) (sigma)) <=> (dissimilar X T0 T)))))) (greater (age T_0 T_1) (eta)) ((age T_0 T_1) = (sigma)) (All X, (All T, (((organization X) /\ ((age X T) = (zero))) => (is_aligned X T)))) ### Or 150 151
% 23.67/23.93 153. ((smaller (age T_0 T_1) (sigma)) \/ ((age T_0 T_1) = (sigma))) ((smaller (age T_0 T_4) (eta)) \/ ((age T_0 T_4) = (eta))) (-. ((greater (hazard_of_mortality T_0 T_3) (hazard_of_mortality T_0 T_1)) /\ ((greater (hazard_of_mortality T_0 T_1) (hazard_of_mortality T_0 T_4)) /\ ((hazard_of_mortality T_0 T_4) = (hazard_of_mortality T_0 T_2))))) (All X, (All T0, (All T, (((organization X) /\ ((has_immunity X T0) /\ (has_immunity X T))) => ((hazard_of_mortality X T0) = (hazard_of_mortality X T)))))) (greater (eta) (zero)) (All X, (All T0, (All T, (((organization X) /\ ((has_immunity X T0) /\ (-. (has_immunity X T)))) => (greater (hazard_of_mortality X T) (hazard_of_mortality X T0)))))) (All X, (All T0, (All T, (((organization X) /\ ((-. (has_immunity X T0)) /\ ((-. (has_immunity X T)) /\ (greater (capability X T) (capability X T0))))) => (greater (hazard_of_mortality X T0) (hazard_of_mortality X T)))))) (All T, ((organization T_0) /\ (((smaller_or_equal (age T_0 T) (eta)) => (has_immunity T_0 T)) /\ ((greater (age T_0 T) (eta)) => (-. (has_immunity T_0 T)))))) (greater (age T_0 T_3) (sigma)) (greater (sigma) (eta)) (All X, (All T0, (All T, (((organization X) /\ ((is_aligned X T0) /\ (-. (is_aligned X T)))) => (greater (capability X T0) (capability X T)))))) (All X, (All Y, (-. ((greater X Y) /\ (greater Y X))))) (All X, (All T0, (All T, (((organization X) /\ ((age X T0) = (zero))) => ((greater (age X T) (sigma)) <=> (dissimilar X T0 T)))))) ((age T_0 T_2) = (zero)) (organization T_0) (greater (age T_0 T_1) (eta)) (All X, (All T, (((organization X) /\ ((age X T) = (zero))) => (is_aligned X T)))) ### Or 119 152
% 23.67/23.93 154. (smaller_or_equal (age T_0 T_1) (sigma)) (All X, (All T, (((organization X) /\ ((age X T) = (zero))) => (is_aligned X T)))) (greater (age T_0 T_1) (eta)) (organization T_0) ((age T_0 T_2) = (zero)) (All X, (All T0, (All T, (((organization X) /\ ((age X T0) = (zero))) => ((greater (age X T) (sigma)) <=> (dissimilar X T0 T)))))) (All X, (All Y, (-. ((greater X Y) /\ (greater Y X))))) (All X, (All T0, (All T, (((organization X) /\ ((is_aligned X T0) /\ (-. (is_aligned X T)))) => (greater (capability X T0) (capability X T)))))) (greater (sigma) (eta)) (greater (age T_0 T_3) (sigma)) (All T, ((organization T_0) /\ (((smaller_or_equal (age T_0 T) (eta)) => (has_immunity T_0 T)) /\ ((greater (age T_0 T) (eta)) => (-. (has_immunity T_0 T)))))) (All X, (All T0, (All T, (((organization X) /\ ((-. (has_immunity X T0)) /\ ((-. (has_immunity X T)) /\ (greater (capability X T) (capability X T0))))) => (greater (hazard_of_mortality X T0) (hazard_of_mortality X T)))))) (All X, (All T0, (All T, (((organization X) /\ ((has_immunity X T0) /\ (-. (has_immunity X T)))) => (greater (hazard_of_mortality X T) (hazard_of_mortality X T0)))))) (greater (eta) (zero)) (All X, (All T0, (All T, (((organization X) /\ ((has_immunity X T0) /\ (has_immunity X T))) => ((hazard_of_mortality X T0) = (hazard_of_mortality X T)))))) (-. ((greater (hazard_of_mortality T_0 T_3) (hazard_of_mortality T_0 T_1)) /\ ((greater (hazard_of_mortality T_0 T_1) (hazard_of_mortality T_0 T_4)) /\ ((hazard_of_mortality T_0 T_4) = (hazard_of_mortality T_0 T_2))))) ((smaller (age T_0 T_4) (eta)) \/ ((age T_0 T_4) = (eta))) ### Definition-Pseudo(smaller_or_equal) 153
% 23.67/23.93 155. (smaller_or_equal (age T_0 T_4) (eta)) (-. ((greater (hazard_of_mortality T_0 T_3) (hazard_of_mortality T_0 T_1)) /\ ((greater (hazard_of_mortality T_0 T_1) (hazard_of_mortality T_0 T_4)) /\ ((hazard_of_mortality T_0 T_4) = (hazard_of_mortality T_0 T_2))))) (All X, (All T0, (All T, (((organization X) /\ ((has_immunity X T0) /\ (has_immunity X T))) => ((hazard_of_mortality X T0) = (hazard_of_mortality X T)))))) (greater (eta) (zero)) (All X, (All T0, (All T, (((organization X) /\ ((has_immunity X T0) /\ (-. (has_immunity X T)))) => (greater (hazard_of_mortality X T) (hazard_of_mortality X T0)))))) (All X, (All T0, (All T, (((organization X) /\ ((-. (has_immunity X T0)) /\ ((-. (has_immunity X T)) /\ (greater (capability X T) (capability X T0))))) => (greater (hazard_of_mortality X T0) (hazard_of_mortality X T)))))) (All T, ((organization T_0) /\ (((smaller_or_equal (age T_0 T) (eta)) => (has_immunity T_0 T)) /\ ((greater (age T_0 T) (eta)) => (-. (has_immunity T_0 T)))))) (greater (age T_0 T_3) (sigma)) (greater (sigma) (eta)) (All X, (All T0, (All T, (((organization X) /\ ((is_aligned X T0) /\ (-. (is_aligned X T)))) => (greater (capability X T0) (capability X T)))))) (All X, (All Y, (-. ((greater X Y) /\ (greater Y X))))) (All X, (All T0, (All T, (((organization X) /\ ((age X T0) = (zero))) => ((greater (age X T) (sigma)) <=> (dissimilar X T0 T)))))) ((age T_0 T_2) = (zero)) (organization T_0) (greater (age T_0 T_1) (eta)) (All X, (All T, (((organization X) /\ ((age X T) = (zero))) => (is_aligned X T)))) (smaller_or_equal (age T_0 T_1) (sigma)) ### Definition-Pseudo(smaller_or_equal) 154
% 23.67/23.93 156. (has_endowment T_0) (smaller_or_equal (age T_0 T_1) (sigma)) (All X, (All T, (((organization X) /\ ((age X T) = (zero))) => (is_aligned X T)))) (greater (age T_0 T_1) (eta)) (organization T_0) ((age T_0 T_2) = (zero)) (All X, (All T0, (All T, (((organization X) /\ ((age X T0) = (zero))) => ((greater (age X T) (sigma)) <=> (dissimilar X T0 T)))))) (All X, (All Y, (-. ((greater X Y) /\ (greater Y X))))) (All X, (All T0, (All T, (((organization X) /\ ((is_aligned X T0) /\ (-. (is_aligned X T)))) => (greater (capability X T0) (capability X T)))))) (greater (sigma) (eta)) (greater (age T_0 T_3) (sigma)) (All X, (All T0, (All T, (((organization X) /\ ((-. (has_immunity X T0)) /\ ((-. (has_immunity X T)) /\ (greater (capability X T) (capability X T0))))) => (greater (hazard_of_mortality X T0) (hazard_of_mortality X T)))))) (All X, (All T0, (All T, (((organization X) /\ ((has_immunity X T0) /\ (-. (has_immunity X T)))) => (greater (hazard_of_mortality X T) (hazard_of_mortality X T0)))))) (greater (eta) (zero)) (All X, (All T0, (All T, (((organization X) /\ ((has_immunity X T0) /\ (has_immunity X T))) => ((hazard_of_mortality X T0) = (hazard_of_mortality X T)))))) (-. ((greater (hazard_of_mortality T_0 T_3) (hazard_of_mortality T_0 T_1)) /\ ((greater (hazard_of_mortality T_0 T_1) (hazard_of_mortality T_0 T_4)) /\ ((hazard_of_mortality T_0 T_4) = (hazard_of_mortality T_0 T_2))))) (smaller_or_equal (age T_0 T_4) (eta)) ### Definition-Pseudo(has_endowment) 155
% 23.67/23.93 157. (-. (((organization T_0) /\ ((has_endowment T_0) /\ (((age T_0 T_2) = (zero)) /\ ((smaller_or_equal (age T_0 T_4) (eta)) /\ ((greater (age T_0 T_1) (eta)) /\ ((smaller_or_equal (age T_0 T_1) (sigma)) /\ ((greater (age T_0 T_3) (sigma)) /\ ((greater (sigma) (eta)) /\ (greater (eta) (zero)))))))))) => ((greater (hazard_of_mortality T_0 T_3) (hazard_of_mortality T_0 T_1)) /\ ((greater (hazard_of_mortality T_0 T_1) (hazard_of_mortality T_0 T_4)) /\ ((hazard_of_mortality T_0 T_4) = (hazard_of_mortality T_0 T_2)))))) (All X, (All T0, (All T, (((organization X) /\ ((has_immunity X T0) /\ (has_immunity X T))) => ((hazard_of_mortality X T0) = (hazard_of_mortality X T)))))) (All X, (All T0, (All T, (((organization X) /\ ((has_immunity X T0) /\ (-. (has_immunity X T)))) => (greater (hazard_of_mortality X T) (hazard_of_mortality X T0)))))) (All X, (All T0, (All T, (((organization X) /\ ((-. (has_immunity X T0)) /\ ((-. (has_immunity X T)) /\ (greater (capability X T) (capability X T0))))) => (greater (hazard_of_mortality X T0) (hazard_of_mortality X T)))))) (All X, (All T0, (All T, (((organization X) /\ ((is_aligned X T0) /\ (-. (is_aligned X T)))) => (greater (capability X T0) (capability X T)))))) (All X, (All Y, (-. ((greater X Y) /\ (greater Y X))))) (All X, (All T0, (All T, (((organization X) /\ ((age X T0) = (zero))) => ((greater (age X T) (sigma)) <=> (dissimilar X T0 T)))))) (All X, (All T, (((organization X) /\ ((age X T) = (zero))) => (is_aligned X T)))) ### ConjTree 156
% 23.67/23.93 158. (-. (All T3, (((organization T_0) /\ ((has_endowment T_0) /\ (((age T_0 T_2) = (zero)) /\ ((smaller_or_equal (age T_0 T_4) (eta)) /\ ((greater (age T_0 T_1) (eta)) /\ ((smaller_or_equal (age T_0 T_1) (sigma)) /\ ((greater (age T_0 T3) (sigma)) /\ ((greater (sigma) (eta)) /\ (greater (eta) (zero)))))))))) => ((greater (hazard_of_mortality T_0 T3) (hazard_of_mortality T_0 T_1)) /\ ((greater (hazard_of_mortality T_0 T_1) (hazard_of_mortality T_0 T_4)) /\ ((hazard_of_mortality T_0 T_4) = (hazard_of_mortality T_0 T_2))))))) (All X, (All T, (((organization X) /\ ((age X T) = (zero))) => (is_aligned X T)))) (All X, (All T0, (All T, (((organization X) /\ ((age X T0) = (zero))) => ((greater (age X T) (sigma)) <=> (dissimilar X T0 T)))))) (All X, (All Y, (-. ((greater X Y) /\ (greater Y X))))) (All X, (All T0, (All T, (((organization X) /\ ((is_aligned X T0) /\ (-. (is_aligned X T)))) => (greater (capability X T0) (capability X T)))))) (All X, (All T0, (All T, (((organization X) /\ ((-. (has_immunity X T0)) /\ ((-. (has_immunity X T)) /\ (greater (capability X T) (capability X T0))))) => (greater (hazard_of_mortality X T0) (hazard_of_mortality X T)))))) (All X, (All T0, (All T, (((organization X) /\ ((has_immunity X T0) /\ (-. (has_immunity X T)))) => (greater (hazard_of_mortality X T) (hazard_of_mortality X T0)))))) (All X, (All T0, (All T, (((organization X) /\ ((has_immunity X T0) /\ (has_immunity X T))) => ((hazard_of_mortality X T0) = (hazard_of_mortality X T)))))) ### NotAllEx 157
% 23.67/23.93 159. (-. (All T2, (All T3, (((organization T_0) /\ ((has_endowment T_0) /\ (((age T_0 T_2) = (zero)) /\ ((smaller_or_equal (age T_0 T_4) (eta)) /\ ((greater (age T_0 T2) (eta)) /\ ((smaller_or_equal (age T_0 T2) (sigma)) /\ ((greater (age T_0 T3) (sigma)) /\ ((greater (sigma) (eta)) /\ (greater (eta) (zero)))))))))) => ((greater (hazard_of_mortality T_0 T3) (hazard_of_mortality T_0 T2)) /\ ((greater (hazard_of_mortality T_0 T2) (hazard_of_mortality T_0 T_4)) /\ ((hazard_of_mortality T_0 T_4) = (hazard_of_mortality T_0 T_2)))))))) (All X, (All T0, (All T, (((organization X) /\ ((has_immunity X T0) /\ (has_immunity X T))) => ((hazard_of_mortality X T0) = (hazard_of_mortality X T)))))) (All X, (All T0, (All T, (((organization X) /\ ((has_immunity X T0) /\ (-. (has_immunity X T)))) => (greater (hazard_of_mortality X T) (hazard_of_mortality X T0)))))) (All X, (All T0, (All T, (((organization X) /\ ((-. (has_immunity X T0)) /\ ((-. (has_immunity X T)) /\ (greater (capability X T) (capability X T0))))) => (greater (hazard_of_mortality X T0) (hazard_of_mortality X T)))))) (All X, (All T0, (All T, (((organization X) /\ ((is_aligned X T0) /\ (-. (is_aligned X T)))) => (greater (capability X T0) (capability X T)))))) (All X, (All Y, (-. ((greater X Y) /\ (greater Y X))))) (All X, (All T0, (All T, (((organization X) /\ ((age X T0) = (zero))) => ((greater (age X T) (sigma)) <=> (dissimilar X T0 T)))))) (All X, (All T, (((organization X) /\ ((age X T) = (zero))) => (is_aligned X T)))) ### NotAllEx 158
% 23.67/23.93 160. (-. (All T1, (All T2, (All T3, (((organization T_0) /\ ((has_endowment T_0) /\ (((age T_0 T_2) = (zero)) /\ ((smaller_or_equal (age T_0 T1) (eta)) /\ ((greater (age T_0 T2) (eta)) /\ ((smaller_or_equal (age T_0 T2) (sigma)) /\ ((greater (age T_0 T3) (sigma)) /\ ((greater (sigma) (eta)) /\ (greater (eta) (zero)))))))))) => ((greater (hazard_of_mortality T_0 T3) (hazard_of_mortality T_0 T2)) /\ ((greater (hazard_of_mortality T_0 T2) (hazard_of_mortality T_0 T1)) /\ ((hazard_of_mortality T_0 T1) = (hazard_of_mortality T_0 T_2))))))))) (All X, (All T, (((organization X) /\ ((age X T) = (zero))) => (is_aligned X T)))) (All X, (All T0, (All T, (((organization X) /\ ((age X T0) = (zero))) => ((greater (age X T) (sigma)) <=> (dissimilar X T0 T)))))) (All X, (All Y, (-. ((greater X Y) /\ (greater Y X))))) (All X, (All T0, (All T, (((organization X) /\ ((is_aligned X T0) /\ (-. (is_aligned X T)))) => (greater (capability X T0) (capability X T)))))) (All X, (All T0, (All T, (((organization X) /\ ((-. (has_immunity X T0)) /\ ((-. (has_immunity X T)) /\ (greater (capability X T) (capability X T0))))) => (greater (hazard_of_mortality X T0) (hazard_of_mortality X T)))))) (All X, (All T0, (All T, (((organization X) /\ ((has_immunity X T0) /\ (-. (has_immunity X T)))) => (greater (hazard_of_mortality X T) (hazard_of_mortality X T0)))))) (All X, (All T0, (All T, (((organization X) /\ ((has_immunity X T0) /\ (has_immunity X T))) => ((hazard_of_mortality X T0) = (hazard_of_mortality X T)))))) ### NotAllEx 159
% 23.67/23.93 161. (-. (All T0, (All T1, (All T2, (All T3, (((organization T_0) /\ ((has_endowment T_0) /\ (((age T_0 T0) = (zero)) /\ ((smaller_or_equal (age T_0 T1) (eta)) /\ ((greater (age T_0 T2) (eta)) /\ ((smaller_or_equal (age T_0 T2) (sigma)) /\ ((greater (age T_0 T3) (sigma)) /\ ((greater (sigma) (eta)) /\ (greater (eta) (zero)))))))))) => ((greater (hazard_of_mortality T_0 T3) (hazard_of_mortality T_0 T2)) /\ ((greater (hazard_of_mortality T_0 T2) (hazard_of_mortality T_0 T1)) /\ ((hazard_of_mortality T_0 T1) = (hazard_of_mortality T_0 T0)))))))))) (All X, (All T0, (All T, (((organization X) /\ ((has_immunity X T0) /\ (has_immunity X T))) => ((hazard_of_mortality X T0) = (hazard_of_mortality X T)))))) (All X, (All T0, (All T, (((organization X) /\ ((has_immunity X T0) /\ (-. (has_immunity X T)))) => (greater (hazard_of_mortality X T) (hazard_of_mortality X T0)))))) (All X, (All T0, (All T, (((organization X) /\ ((-. (has_immunity X T0)) /\ ((-. (has_immunity X T)) /\ (greater (capability X T) (capability X T0))))) => (greater (hazard_of_mortality X T0) (hazard_of_mortality X T)))))) (All X, (All T0, (All T, (((organization X) /\ ((is_aligned X T0) /\ (-. (is_aligned X T)))) => (greater (capability X T0) (capability X T)))))) (All X, (All Y, (-. ((greater X Y) /\ (greater Y X))))) (All X, (All T0, (All T, (((organization X) /\ ((age X T0) = (zero))) => ((greater (age X T) (sigma)) <=> (dissimilar X T0 T)))))) (All X, (All T, (((organization X) /\ ((age X T) = (zero))) => (is_aligned X T)))) ### NotAllEx 160
% 23.76/23.93 162. (-. (All X, (All T0, (All T1, (All T2, (All T3, (((organization X) /\ ((has_endowment X) /\ (((age X T0) = (zero)) /\ ((smaller_or_equal (age X T1) (eta)) /\ ((greater (age X T2) (eta)) /\ ((smaller_or_equal (age X T2) (sigma)) /\ ((greater (age X T3) (sigma)) /\ ((greater (sigma) (eta)) /\ (greater (eta) (zero)))))))))) => ((greater (hazard_of_mortality X T3) (hazard_of_mortality X T2)) /\ ((greater (hazard_of_mortality X T2) (hazard_of_mortality X T1)) /\ ((hazard_of_mortality X T1) = (hazard_of_mortality X T0))))))))))) (All X, (All T, (((organization X) /\ ((age X T) = (zero))) => (is_aligned X T)))) (All X, (All T0, (All T, (((organization X) /\ ((age X T0) = (zero))) => ((greater (age X T) (sigma)) <=> (dissimilar X T0 T)))))) (All X, (All Y, (-. ((greater X Y) /\ (greater Y X))))) (All X, (All T0, (All T, (((organization X) /\ ((is_aligned X T0) /\ (-. (is_aligned X T)))) => (greater (capability X T0) (capability X T)))))) (All X, (All T0, (All T, (((organization X) /\ ((-. (has_immunity X T0)) /\ ((-. (has_immunity X T)) /\ (greater (capability X T) (capability X T0))))) => (greater (hazard_of_mortality X T0) (hazard_of_mortality X T)))))) (All X, (All T0, (All T, (((organization X) /\ ((has_immunity X T0) /\ (-. (has_immunity X T)))) => (greater (hazard_of_mortality X T) (hazard_of_mortality X T0)))))) (All X, (All T0, (All T, (((organization X) /\ ((has_immunity X T0) /\ (has_immunity X T))) => ((hazard_of_mortality X T0) = (hazard_of_mortality X T)))))) ### NotAllEx 161
% 23.76/23.93 % SZS output end Proof
% 23.76/23.93 (* END-PROOF *)
%------------------------------------------------------------------------------