TSTP Solution File: MGT062+1 by SuperZenon---0.0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SuperZenon---0.0.1
% Problem : MGT062+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 : n024.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 22:27:08 EDT 2022
% Result : Theorem 42.13s 42.32s
% Output : Proof 42.55s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : MGT062+1 : TPTP v8.1.0. Released v2.4.0.
% 0.10/0.12 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s
% 0.14/0.33 % Computer : n024.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Thu Jun 9 09:27:04 EDT 2022
% 0.14/0.34 % CPUTime :
% 42.13/42.32 % SZS status Theorem
% 42.13/42.32 (* PROOF-FOUND *)
% 42.13/42.32 (* BEGIN-PROOF *)
% 42.13/42.32 % SZS output start Proof
% 42.13/42.32 1. ((tau) != (tau)) ### NotEqual
% 42.13/42.32 2. ((sigma) != (sigma)) ### NotEqual
% 42.13/42.32 3. (organization T_0) (-. (organization T_0)) ### Axiom
% 42.13/42.32 4. ((age T_0 T_1) = (zero)) ((age T_0 T_1) != (zero)) ### Axiom
% 42.13/42.32 5. (organization T_0) (-. (organization T_0)) ### Axiom
% 42.13/42.32 6. (organization T_0) (-. (organization T_0)) ### Axiom
% 42.13/42.32 7. (-. (has_endowment T_0)) (has_endowment T_0) ### Axiom
% 42.13/42.32 8. (has_immunity T_0 T_1) (-. (has_immunity T_0 T_1)) ### Axiom
% 42.13/42.32 9. (((organization T_0) /\ (-. (has_endowment T_0))) => (-. (has_immunity T_0 T_1))) (has_immunity T_0 T_1) (-. (has_endowment T_0)) (organization T_0) ### DisjTree 6 7 8
% 42.13/42.32 10. (All T, (((organization T_0) /\ (-. (has_endowment T_0))) => (-. (has_immunity T_0 T)))) (organization T_0) (-. (has_endowment T_0)) (has_immunity T_0 T_1) ### All 9
% 42.13/42.32 11. (All X, (All T, (((organization X) /\ (-. (has_endowment X))) => (-. (has_immunity X T))))) (has_immunity T_0 T_1) (-. (has_endowment T_0)) (organization T_0) ### All 10
% 42.13/42.32 12. (-. (-. (has_immunity T_0 T_1))) (organization T_0) (-. (has_endowment T_0)) (All X, (All T, (((organization X) /\ (-. (has_endowment X))) => (-. (has_immunity X T))))) ### NotNot 11
% 42.13/42.32 13. (is_aligned T_0 T_1) (-. (is_aligned T_0 T_1)) ### Axiom
% 42.13/42.32 14. ((age T_0 T_1) = (zero)) ((zero) != (age T_0 T_1)) ### Sym(=)
% 42.13/42.32 15. (-. (greater (tau) (age T_0 T_1))) (greater (tau) (zero)) ((age T_0 T_1) = (zero)) ### Trans 1 14
% 42.13/42.32 16. (-. (smaller (age T_0 T_1) (tau))) ((age T_0 T_1) = (zero)) (greater (tau) (zero)) ### Definition-Pseudo(smaller) 15
% 42.13/42.32 17. (-. ((smaller (age T_0 T_1) (tau)) \/ ((age T_0 T_1) = (tau)))) (greater (tau) (zero)) ((age T_0 T_1) = (zero)) ### NotOr 16
% 42.13/42.32 18. (-. (smaller_or_equal (age T_0 T_1) (tau))) ((age T_0 T_1) = (zero)) (greater (tau) (zero)) ### Definition-Pseudo(smaller_or_equal) 17
% 42.13/42.32 19. (positional_advantage T_0 T_1) (-. (positional_advantage T_0 T_1)) ### Axiom
% 42.13/42.32 20. ((smaller_or_equal (age T_0 T_1) (tau)) => (-. (positional_advantage T_0 T_1))) (positional_advantage T_0 T_1) (greater (tau) (zero)) ((age T_0 T_1) = (zero)) ### Imply 18 19
% 42.13/42.32 21. (((smaller_or_equal (age T_0 T_1) (tau)) => (-. (positional_advantage T_0 T_1))) /\ ((greater (age T_0 T_1) (tau)) => (positional_advantage T_0 T_1))) ((age T_0 T_1) = (zero)) (greater (tau) (zero)) (positional_advantage T_0 T_1) ### And 20
% 42.13/42.32 22. (All T, (((smaller_or_equal (age T_0 T) (tau)) => (-. (positional_advantage T_0 T))) /\ ((greater (age T_0 T) (tau)) => (positional_advantage T_0 T)))) (positional_advantage T_0 T_1) (greater (tau) (zero)) ((age T_0 T_1) = (zero)) ### All 21
% 42.13/42.32 23. (organization T_0) (-. (organization T_0)) ### Axiom
% 42.13/42.32 24. ((age T_0 T_1) = (zero)) ((age T_0 T_1) != (zero)) ### Axiom
% 42.13/42.32 25. (organization T_0) (-. (organization T_0)) ### Axiom
% 42.13/42.32 26. (is_aligned T_0 T_1) (-. (is_aligned T_0 T_1)) ### Axiom
% 42.13/42.32 27. (-. (greater (tau) (age T_0 T_2))) (greater (tau) (age T_0 T_2)) ### Axiom
% 42.13/42.32 28. (smaller (age T_0 T_2) (tau)) (-. (greater (tau) (age T_0 T_2))) ### Definition-Pseudo(smaller) 27
% 42.13/42.32 29. ((age T_0 T_2) != (tau)) ((age T_0 T_2) = (tau)) ### Axiom
% 42.13/42.32 30. (-. (greater (age T_0 T_2) (tau))) (greater (age T_0 T_2) (tau)) ### Axiom
% 42.13/42.32 31. ((smaller (age T_0 T_2) (tau)) \/ (((age T_0 T_2) = (tau)) \/ (greater (age T_0 T_2) (tau)))) (-. (greater (age T_0 T_2) (tau))) ((age T_0 T_2) != (tau)) (-. (greater (tau) (age T_0 T_2))) ### DisjTree 28 29 30
% 42.13/42.32 32. (All Y, ((smaller (age T_0 T_2) Y) \/ (((age T_0 T_2) = Y) \/ (greater (age T_0 T_2) Y)))) (-. (greater (tau) (age T_0 T_2))) ((age T_0 T_2) != (tau)) (-. (greater (age T_0 T_2) (tau))) ### All 31
% 42.13/42.32 33. (All X, (All Y, ((smaller X Y) \/ ((X = Y) \/ (greater X Y))))) (-. (greater (age T_0 T_2) (tau))) ((age T_0 T_2) != (tau)) (-. (greater (tau) (age T_0 T_2))) ### All 32
% 42.13/42.32 34. (-. ((smaller (age T_0 T_2) (tau)) \/ ((age T_0 T_2) = (tau)))) (-. (greater (tau) (age T_0 T_2))) (-. (greater (age T_0 T_2) (tau))) (All X, (All Y, ((smaller X Y) \/ ((X = Y) \/ (greater X Y))))) ### NotOr 33
% 42.13/42.32 35. (-. (smaller (age T_0 T_2) (tau))) (All X, (All Y, ((smaller X Y) \/ ((X = Y) \/ (greater X Y))))) (-. (greater (age T_0 T_2) (tau))) (-. ((smaller (age T_0 T_2) (tau)) \/ ((age T_0 T_2) = (tau)))) ### Definition-Pseudo(smaller) 34
% 42.13/42.32 36. (-. ((smaller (age T_0 T_2) (tau)) \/ ((age T_0 T_2) = (tau)))) (-. (greater (age T_0 T_2) (tau))) (All X, (All Y, ((smaller X Y) \/ ((X = Y) \/ (greater X Y))))) ### NotOr 35
% 42.13/42.32 37. (-. (smaller_or_equal (age T_0 T_2) (tau))) (All X, (All Y, ((smaller X Y) \/ ((X = Y) \/ (greater X Y))))) (-. (greater (age T_0 T_2) (tau))) ### Definition-Pseudo(smaller_or_equal) 36
% 42.13/42.32 38. (organization T_0) (-. (organization T_0)) ### Axiom
% 42.13/42.32 39. (organization T_0) (-. (organization T_0)) ### Axiom
% 42.13/42.32 40. (-. (has_endowment T_0)) (has_endowment T_0) ### Axiom
% 42.13/42.32 41. (has_immunity T_0 T_2) (-. (has_immunity T_0 T_2)) ### Axiom
% 42.13/42.32 42. (((organization T_0) /\ (-. (has_endowment T_0))) => (-. (has_immunity T_0 T_2))) (has_immunity T_0 T_2) (-. (has_endowment T_0)) (organization T_0) ### DisjTree 39 40 41
% 42.13/42.32 43. (All T, (((organization T_0) /\ (-. (has_endowment T_0))) => (-. (has_immunity T_0 T)))) (organization T_0) (-. (has_endowment T_0)) (has_immunity T_0 T_2) ### All 42
% 42.13/42.32 44. (All X, (All T, (((organization X) /\ (-. (has_endowment X))) => (-. (has_immunity X T))))) (has_immunity T_0 T_2) (-. (has_endowment T_0)) (organization T_0) ### All 43
% 42.13/42.32 45. (-. (-. (has_immunity T_0 T_2))) (organization T_0) (-. (has_endowment T_0)) (All X, (All T, (((organization X) /\ (-. (has_endowment X))) => (-. (has_immunity X T))))) ### NotNot 44
% 42.13/42.32 46. (is_aligned T_0 T_2) (-. (is_aligned T_0 T_2)) ### Axiom
% 42.13/42.32 47. (-. (positional_advantage T_0 T_2)) (positional_advantage T_0 T_2) ### Axiom
% 42.13/42.32 48. ((hazard_of_mortality T_0 T_2) != (mod2)) ((hazard_of_mortality T_0 T_2) = (mod2)) ### Axiom
% 42.13/42.32 49. (((is_aligned T_0 T_2) /\ (-. (positional_advantage T_0 T_2))) => ((hazard_of_mortality T_0 T_2) = (mod2))) ((hazard_of_mortality T_0 T_2) != (mod2)) (-. (positional_advantage T_0 T_2)) (is_aligned T_0 T_2) ### DisjTree 46 47 48
% 42.13/42.32 50. ((((is_aligned T_0 T_2) /\ (positional_advantage T_0 T_2)) => ((hazard_of_mortality T_0 T_2) = (low))) /\ ((((-. (is_aligned T_0 T_2)) /\ (positional_advantage T_0 T_2)) => ((hazard_of_mortality T_0 T_2) = (mod1))) /\ ((((is_aligned T_0 T_2) /\ (-. (positional_advantage T_0 T_2))) => ((hazard_of_mortality T_0 T_2) = (mod2))) /\ (((-. (is_aligned T_0 T_2)) /\ (-. (positional_advantage T_0 T_2))) => ((hazard_of_mortality T_0 T_2) = (high)))))) (is_aligned T_0 T_2) (-. (positional_advantage T_0 T_2)) ((hazard_of_mortality T_0 T_2) != (mod2)) ### ConjTree 49
% 42.13/42.32 51. ((-. (has_immunity T_0 T_2)) => ((((is_aligned T_0 T_2) /\ (positional_advantage T_0 T_2)) => ((hazard_of_mortality T_0 T_2) = (low))) /\ ((((-. (is_aligned T_0 T_2)) /\ (positional_advantage T_0 T_2)) => ((hazard_of_mortality T_0 T_2) = (mod1))) /\ ((((is_aligned T_0 T_2) /\ (-. (positional_advantage T_0 T_2))) => ((hazard_of_mortality T_0 T_2) = (mod2))) /\ (((-. (is_aligned T_0 T_2)) /\ (-. (positional_advantage T_0 T_2))) => ((hazard_of_mortality T_0 T_2) = (high))))))) ((hazard_of_mortality T_0 T_2) != (mod2)) (-. (positional_advantage T_0 T_2)) (is_aligned T_0 T_2) (All X, (All T, (((organization X) /\ (-. (has_endowment X))) => (-. (has_immunity X T))))) (-. (has_endowment T_0)) (organization T_0) ### Imply 45 50
% 42.13/42.32 52. (((has_immunity T_0 T_2) => ((hazard_of_mortality T_0 T_2) = (very_low))) /\ ((-. (has_immunity T_0 T_2)) => ((((is_aligned T_0 T_2) /\ (positional_advantage T_0 T_2)) => ((hazard_of_mortality T_0 T_2) = (low))) /\ ((((-. (is_aligned T_0 T_2)) /\ (positional_advantage T_0 T_2)) => ((hazard_of_mortality T_0 T_2) = (mod1))) /\ ((((is_aligned T_0 T_2) /\ (-. (positional_advantage T_0 T_2))) => ((hazard_of_mortality T_0 T_2) = (mod2))) /\ (((-. (is_aligned T_0 T_2)) /\ (-. (positional_advantage T_0 T_2))) => ((hazard_of_mortality T_0 T_2) = (high)))))))) (organization T_0) (-. (has_endowment T_0)) (All X, (All T, (((organization X) /\ (-. (has_endowment X))) => (-. (has_immunity X T))))) (is_aligned T_0 T_2) (-. (positional_advantage T_0 T_2)) ((hazard_of_mortality T_0 T_2) != (mod2)) ### And 51
% 42.13/42.32 53. ((organization T_0) => (((has_immunity T_0 T_2) => ((hazard_of_mortality T_0 T_2) = (very_low))) /\ ((-. (has_immunity T_0 T_2)) => ((((is_aligned T_0 T_2) /\ (positional_advantage T_0 T_2)) => ((hazard_of_mortality T_0 T_2) = (low))) /\ ((((-. (is_aligned T_0 T_2)) /\ (positional_advantage T_0 T_2)) => ((hazard_of_mortality T_0 T_2) = (mod1))) /\ ((((is_aligned T_0 T_2) /\ (-. (positional_advantage T_0 T_2))) => ((hazard_of_mortality T_0 T_2) = (mod2))) /\ (((-. (is_aligned T_0 T_2)) /\ (-. (positional_advantage T_0 T_2))) => ((hazard_of_mortality T_0 T_2) = (high))))))))) ((hazard_of_mortality T_0 T_2) != (mod2)) (-. (positional_advantage T_0 T_2)) (is_aligned T_0 T_2) (All X, (All T, (((organization X) /\ (-. (has_endowment X))) => (-. (has_immunity X T))))) (-. (has_endowment T_0)) (organization T_0) ### Imply 38 52
% 42.13/42.33 54. (All T, ((organization T_0) => (((has_immunity T_0 T) => ((hazard_of_mortality T_0 T) = (very_low))) /\ ((-. (has_immunity T_0 T)) => ((((is_aligned T_0 T) /\ (positional_advantage T_0 T)) => ((hazard_of_mortality T_0 T) = (low))) /\ ((((-. (is_aligned T_0 T)) /\ (positional_advantage T_0 T)) => ((hazard_of_mortality T_0 T) = (mod1))) /\ ((((is_aligned T_0 T) /\ (-. (positional_advantage T_0 T))) => ((hazard_of_mortality T_0 T) = (mod2))) /\ (((-. (is_aligned T_0 T)) /\ (-. (positional_advantage T_0 T))) => ((hazard_of_mortality T_0 T) = (high)))))))))) (organization T_0) (-. (has_endowment T_0)) (All X, (All T, (((organization X) /\ (-. (has_endowment X))) => (-. (has_immunity X T))))) (is_aligned T_0 T_2) (-. (positional_advantage T_0 T_2)) ((hazard_of_mortality T_0 T_2) != (mod2)) ### All 53
% 42.13/42.33 55. (All X, (All T, ((organization X) => (((has_immunity X T) => ((hazard_of_mortality X T) = (very_low))) /\ ((-. (has_immunity X T)) => ((((is_aligned X T) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (low))) /\ ((((-. (is_aligned X T)) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (mod1))) /\ ((((is_aligned X T) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (mod2))) /\ (((-. (is_aligned X T)) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (high))))))))))) ((hazard_of_mortality T_0 T_2) != (mod2)) (-. (positional_advantage T_0 T_2)) (is_aligned T_0 T_2) (All X, (All T, (((organization X) /\ (-. (has_endowment X))) => (-. (has_immunity X T))))) (-. (has_endowment T_0)) (organization T_0) ### All 54
% 42.13/42.33 56. ((smaller_or_equal (age T_0 T_2) (tau)) => (-. (positional_advantage T_0 T_2))) (organization T_0) (-. (has_endowment T_0)) (All X, (All T, (((organization X) /\ (-. (has_endowment X))) => (-. (has_immunity X T))))) (is_aligned T_0 T_2) ((hazard_of_mortality T_0 T_2) != (mod2)) (All X, (All T, ((organization X) => (((has_immunity X T) => ((hazard_of_mortality X T) = (very_low))) /\ ((-. (has_immunity X T)) => ((((is_aligned X T) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (low))) /\ ((((-. (is_aligned X T)) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (mod1))) /\ ((((is_aligned X T) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (mod2))) /\ (((-. (is_aligned X T)) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (high))))))))))) (-. (greater (age T_0 T_2) (tau))) (All X, (All Y, ((smaller X Y) \/ ((X = Y) \/ (greater X Y))))) ### Imply 37 55
% 42.13/42.33 57. (((smaller_or_equal (age T_0 T_2) (tau)) => (-. (positional_advantage T_0 T_2))) /\ ((greater (age T_0 T_2) (tau)) => (positional_advantage T_0 T_2))) (All X, (All Y, ((smaller X Y) \/ ((X = Y) \/ (greater X Y))))) (-. (greater (age T_0 T_2) (tau))) (All X, (All T, ((organization X) => (((has_immunity X T) => ((hazard_of_mortality X T) = (very_low))) /\ ((-. (has_immunity X T)) => ((((is_aligned X T) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (low))) /\ ((((-. (is_aligned X T)) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (mod1))) /\ ((((is_aligned X T) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (mod2))) /\ (((-. (is_aligned X T)) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (high))))))))))) ((hazard_of_mortality T_0 T_2) != (mod2)) (is_aligned T_0 T_2) (All X, (All T, (((organization X) /\ (-. (has_endowment X))) => (-. (has_immunity X T))))) (-. (has_endowment T_0)) (organization T_0) ### And 56
% 42.13/42.33 58. (All T, (((smaller_or_equal (age T_0 T) (tau)) => (-. (positional_advantage T_0 T))) /\ ((greater (age T_0 T) (tau)) => (positional_advantage T_0 T)))) (organization T_0) (-. (has_endowment T_0)) (All X, (All T, (((organization X) /\ (-. (has_endowment X))) => (-. (has_immunity X T))))) (is_aligned T_0 T_2) ((hazard_of_mortality T_0 T_2) != (mod2)) (All X, (All T, ((organization X) => (((has_immunity X T) => ((hazard_of_mortality X T) = (very_low))) /\ ((-. (has_immunity X T)) => ((((is_aligned X T) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (low))) /\ ((((-. (is_aligned X T)) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (mod1))) /\ ((((is_aligned X T) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (mod2))) /\ (((-. (is_aligned X T)) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (high))))))))))) (-. (greater (age T_0 T_2) (tau))) (All X, (All Y, ((smaller X Y) \/ ((X = Y) \/ (greater X Y))))) ### All 57
% 42.13/42.33 59. ((is_aligned T_0 T_1) <=> (is_aligned T_0 T_2)) (All X, (All Y, ((smaller X Y) \/ ((X = Y) \/ (greater X Y))))) (-. (greater (age T_0 T_2) (tau))) (All X, (All T, ((organization X) => (((has_immunity X T) => ((hazard_of_mortality X T) = (very_low))) /\ ((-. (has_immunity X T)) => ((((is_aligned X T) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (low))) /\ ((((-. (is_aligned X T)) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (mod1))) /\ ((((is_aligned X T) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (mod2))) /\ (((-. (is_aligned X T)) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (high))))))))))) ((hazard_of_mortality T_0 T_2) != (mod2)) (All X, (All T, (((organization X) /\ (-. (has_endowment X))) => (-. (has_immunity X T))))) (-. (has_endowment T_0)) (organization T_0) (All T, (((smaller_or_equal (age T_0 T) (tau)) => (-. (positional_advantage T_0 T))) /\ ((greater (age T_0 T) (tau)) => (positional_advantage T_0 T)))) (is_aligned T_0 T_1) ### Equiv 26 58
% 42.13/42.33 60. (-. (-. ((is_aligned T_0 T_1) <=> (is_aligned T_0 T_2)))) (is_aligned T_0 T_1) (All T, (((smaller_or_equal (age T_0 T) (tau)) => (-. (positional_advantage T_0 T))) /\ ((greater (age T_0 T) (tau)) => (positional_advantage T_0 T)))) (organization T_0) (-. (has_endowment T_0)) (All X, (All T, (((organization X) /\ (-. (has_endowment X))) => (-. (has_immunity X T))))) ((hazard_of_mortality T_0 T_2) != (mod2)) (All X, (All T, ((organization X) => (((has_immunity X T) => ((hazard_of_mortality X T) = (very_low))) /\ ((-. (has_immunity X T)) => ((((is_aligned X T) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (low))) /\ ((((-. (is_aligned X T)) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (mod1))) /\ ((((is_aligned X T) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (mod2))) /\ (((-. (is_aligned X T)) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (high))))))))))) (-. (greater (age T_0 T_2) (tau))) (All X, (All Y, ((smaller X Y) \/ ((X = Y) \/ (greater X Y))))) ### NotNot 59
% 42.13/42.33 61. (-. ((organization T_0) /\ (-. ((is_aligned T_0 T_1) <=> (is_aligned T_0 T_2))))) (All X, (All Y, ((smaller X Y) \/ ((X = Y) \/ (greater X Y))))) (-. (greater (age T_0 T_2) (tau))) (All X, (All T, ((organization X) => (((has_immunity X T) => ((hazard_of_mortality X T) = (very_low))) /\ ((-. (has_immunity X T)) => ((((is_aligned X T) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (low))) /\ ((((-. (is_aligned X T)) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (mod1))) /\ ((((is_aligned X T) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (mod2))) /\ (((-. (is_aligned X T)) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (high))))))))))) ((hazard_of_mortality T_0 T_2) != (mod2)) (All X, (All T, (((organization X) /\ (-. (has_endowment X))) => (-. (has_immunity X T))))) (-. (has_endowment T_0)) (All T, (((smaller_or_equal (age T_0 T) (tau)) => (-. (positional_advantage T_0 T))) /\ ((greater (age T_0 T) (tau)) => (positional_advantage T_0 T)))) (is_aligned T_0 T_1) (organization T_0) ### NotAnd 25 60
% 42.13/42.34 62. (-. (dissimilar T_0 T_1 T_2)) (organization T_0) (is_aligned T_0 T_1) (All T, (((smaller_or_equal (age T_0 T) (tau)) => (-. (positional_advantage T_0 T))) /\ ((greater (age T_0 T) (tau)) => (positional_advantage T_0 T)))) (-. (has_endowment T_0)) (All X, (All T, (((organization X) /\ (-. (has_endowment X))) => (-. (has_immunity X T))))) ((hazard_of_mortality T_0 T_2) != (mod2)) (All X, (All T, ((organization X) => (((has_immunity X T) => ((hazard_of_mortality X T) = (very_low))) /\ ((-. (has_immunity X T)) => ((((is_aligned X T) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (low))) /\ ((((-. (is_aligned X T)) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (mod1))) /\ ((((is_aligned X T) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (mod2))) /\ (((-. (is_aligned X T)) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (high))))))))))) (-. (greater (age T_0 T_2) (tau))) (All X, (All Y, ((smaller X Y) \/ ((X = Y) \/ (greater X Y))))) ### Definition-Pseudo(dissimilar) 61
% 42.13/42.34 63. (-. (greater (age T_0 T_2) (sigma))) (greater (age T_0 T_2) (sigma)) ### Axiom
% 42.13/42.34 64. ((greater (age T_0 T_2) (sigma)) <=> (dissimilar T_0 T_1 T_2)) (-. (greater (age T_0 T_2) (sigma))) (All X, (All Y, ((smaller X Y) \/ ((X = Y) \/ (greater X Y))))) (-. (greater (age T_0 T_2) (tau))) (All X, (All T, ((organization X) => (((has_immunity X T) => ((hazard_of_mortality X T) = (very_low))) /\ ((-. (has_immunity X T)) => ((((is_aligned X T) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (low))) /\ ((((-. (is_aligned X T)) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (mod1))) /\ ((((is_aligned X T) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (mod2))) /\ (((-. (is_aligned X T)) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (high))))))))))) ((hazard_of_mortality T_0 T_2) != (mod2)) (All X, (All T, (((organization X) /\ (-. (has_endowment X))) => (-. (has_immunity X T))))) (-. (has_endowment T_0)) (All T, (((smaller_or_equal (age T_0 T) (tau)) => (-. (positional_advantage T_0 T))) /\ ((greater (age T_0 T) (tau)) => (positional_advantage T_0 T)))) (is_aligned T_0 T_1) (organization T_0) ### Equiv 62 63
% 42.13/42.34 65. (((organization T_0) /\ ((age T_0 T_1) = (zero))) => ((greater (age T_0 T_2) (sigma)) <=> (dissimilar T_0 T_1 T_2))) (is_aligned T_0 T_1) (All T, (((smaller_or_equal (age T_0 T) (tau)) => (-. (positional_advantage T_0 T))) /\ ((greater (age T_0 T) (tau)) => (positional_advantage T_0 T)))) (-. (has_endowment T_0)) (All X, (All T, (((organization X) /\ (-. (has_endowment X))) => (-. (has_immunity X T))))) ((hazard_of_mortality T_0 T_2) != (mod2)) (All X, (All T, ((organization X) => (((has_immunity X T) => ((hazard_of_mortality X T) = (very_low))) /\ ((-. (has_immunity X T)) => ((((is_aligned X T) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (low))) /\ ((((-. (is_aligned X T)) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (mod1))) /\ ((((is_aligned X T) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (mod2))) /\ (((-. (is_aligned X T)) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (high))))))))))) (-. (greater (age T_0 T_2) (tau))) (All X, (All Y, ((smaller X Y) \/ ((X = Y) \/ (greater X Y))))) (-. (greater (age T_0 T_2) (sigma))) ((age T_0 T_1) = (zero)) (organization T_0) ### DisjTree 23 24 64
% 42.13/42.34 66. (All T, (((organization T_0) /\ ((age T_0 T_1) = (zero))) => ((greater (age T_0 T) (sigma)) <=> (dissimilar T_0 T_1 T)))) (organization T_0) ((age T_0 T_1) = (zero)) (-. (greater (age T_0 T_2) (sigma))) (All X, (All Y, ((smaller X Y) \/ ((X = Y) \/ (greater X Y))))) (-. (greater (age T_0 T_2) (tau))) (All X, (All T, ((organization X) => (((has_immunity X T) => ((hazard_of_mortality X T) = (very_low))) /\ ((-. (has_immunity X T)) => ((((is_aligned X T) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (low))) /\ ((((-. (is_aligned X T)) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (mod1))) /\ ((((is_aligned X T) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (mod2))) /\ (((-. (is_aligned X T)) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (high))))))))))) ((hazard_of_mortality T_0 T_2) != (mod2)) (All X, (All T, (((organization X) /\ (-. (has_endowment X))) => (-. (has_immunity X T))))) (-. (has_endowment T_0)) (All T, (((smaller_or_equal (age T_0 T) (tau)) => (-. (positional_advantage T_0 T))) /\ ((greater (age T_0 T) (tau)) => (positional_advantage T_0 T)))) (is_aligned T_0 T_1) ### All 65
% 42.13/42.34 67. (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_1) (All T, (((smaller_or_equal (age T_0 T) (tau)) => (-. (positional_advantage T_0 T))) /\ ((greater (age T_0 T) (tau)) => (positional_advantage T_0 T)))) (-. (has_endowment T_0)) (All X, (All T, (((organization X) /\ (-. (has_endowment X))) => (-. (has_immunity X T))))) ((hazard_of_mortality T_0 T_2) != (mod2)) (All X, (All T, ((organization X) => (((has_immunity X T) => ((hazard_of_mortality X T) = (very_low))) /\ ((-. (has_immunity X T)) => ((((is_aligned X T) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (low))) /\ ((((-. (is_aligned X T)) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (mod1))) /\ ((((is_aligned X T) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (mod2))) /\ (((-. (is_aligned X T)) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (high))))))))))) (-. (greater (age T_0 T_2) (tau))) (All X, (All Y, ((smaller X Y) \/ ((X = Y) \/ (greater X Y))))) (-. (greater (age T_0 T_2) (sigma))) ((age T_0 T_1) = (zero)) (organization T_0) ### All 66
% 42.13/42.34 68. ((hazard_of_mortality T_0 T_1) != (hazard_of_mortality T_0 T_1)) ### Refl(=)
% 42.13/42.34 69. ((mod2) != (mod2)) ### NotEqual
% 42.13/42.34 70. ((age T_0 T_3) != (age T_0 T_3)) ### Refl(=)
% 42.13/42.34 71. ((sigma) = (tau)) ((sigma) != (tau)) ### Axiom
% 42.13/42.34 72. (-. (greater (age T_0 T_3) (tau))) (greater (age T_0 T_3) (sigma)) ((sigma) = (tau)) ### Trans 70 71
% 42.13/42.34 73. (organization T_0) (-. (organization T_0)) ### Axiom
% 42.13/42.34 74. ((age T_0 T_1) = (zero)) ((age T_0 T_1) != (zero)) ### Axiom
% 42.13/42.34 75. (organization T_0) (-. (organization T_0)) ### Axiom
% 42.13/42.34 76. ((age T_0 T_1) = (zero)) ((age T_0 T_1) != (zero)) ### Axiom
% 42.13/42.34 77. (greater (age T_0 T_3) (sigma)) (-. (greater (age T_0 T_3) (sigma))) ### Axiom
% 42.13/42.34 78. (is_aligned T_0 T_1) (-. (is_aligned T_0 T_1)) ### Axiom
% 42.13/42.34 79. (organization T_0) (-. (organization T_0)) ### Axiom
% 42.13/42.34 80. (organization T_0) (-. (organization T_0)) ### Axiom
% 42.13/42.34 81. (-. (has_endowment T_0)) (has_endowment T_0) ### Axiom
% 42.13/42.34 82. (has_immunity T_0 T_3) (-. (has_immunity T_0 T_3)) ### Axiom
% 42.13/42.34 83. (((organization T_0) /\ (-. (has_endowment T_0))) => (-. (has_immunity T_0 T_3))) (has_immunity T_0 T_3) (-. (has_endowment T_0)) (organization T_0) ### DisjTree 80 81 82
% 42.13/42.34 84. (All T, (((organization T_0) /\ (-. (has_endowment T_0))) => (-. (has_immunity T_0 T)))) (organization T_0) (-. (has_endowment T_0)) (has_immunity T_0 T_3) ### All 83
% 42.13/42.34 85. (All X, (All T, (((organization X) /\ (-. (has_endowment X))) => (-. (has_immunity X T))))) (has_immunity T_0 T_3) (-. (has_endowment T_0)) (organization T_0) ### All 84
% 42.13/42.34 86. (-. (-. (has_immunity T_0 T_3))) (organization T_0) (-. (has_endowment T_0)) (All X, (All T, (((organization X) /\ (-. (has_endowment X))) => (-. (has_immunity X T))))) ### NotNot 85
% 42.13/42.34 87. (-. (is_aligned T_0 T_3)) (is_aligned T_0 T_3) ### Axiom
% 42.13/42.34 88. (positional_advantage T_0 T_3) (-. (positional_advantage T_0 T_3)) ### Axiom
% 42.13/42.34 89. ((mod1) != (hazard_of_mortality T_0 T_3)) ((hazard_of_mortality T_0 T_3) = (mod1)) ### Sym(=)
% 42.13/42.34 90. (((-. (is_aligned T_0 T_3)) /\ (positional_advantage T_0 T_3)) => ((hazard_of_mortality T_0 T_3) = (mod1))) ((mod1) != (hazard_of_mortality T_0 T_3)) (positional_advantage T_0 T_3) (-. (is_aligned T_0 T_3)) ### DisjTree 87 88 89
% 42.21/42.38 91. ((((is_aligned T_0 T_3) /\ (positional_advantage T_0 T_3)) => ((hazard_of_mortality T_0 T_3) = (low))) /\ ((((-. (is_aligned T_0 T_3)) /\ (positional_advantage T_0 T_3)) => ((hazard_of_mortality T_0 T_3) = (mod1))) /\ ((((is_aligned T_0 T_3) /\ (-. (positional_advantage T_0 T_3))) => ((hazard_of_mortality T_0 T_3) = (mod2))) /\ (((-. (is_aligned T_0 T_3)) /\ (-. (positional_advantage T_0 T_3))) => ((hazard_of_mortality T_0 T_3) = (high)))))) (-. (is_aligned T_0 T_3)) (positional_advantage T_0 T_3) ((mod1) != (hazard_of_mortality T_0 T_3)) ### ConjTree 90
% 42.21/42.38 92. ((-. (has_immunity T_0 T_3)) => ((((is_aligned T_0 T_3) /\ (positional_advantage T_0 T_3)) => ((hazard_of_mortality T_0 T_3) = (low))) /\ ((((-. (is_aligned T_0 T_3)) /\ (positional_advantage T_0 T_3)) => ((hazard_of_mortality T_0 T_3) = (mod1))) /\ ((((is_aligned T_0 T_3) /\ (-. (positional_advantage T_0 T_3))) => ((hazard_of_mortality T_0 T_3) = (mod2))) /\ (((-. (is_aligned T_0 T_3)) /\ (-. (positional_advantage T_0 T_3))) => ((hazard_of_mortality T_0 T_3) = (high))))))) ((mod1) != (hazard_of_mortality T_0 T_3)) (positional_advantage T_0 T_3) (-. (is_aligned T_0 T_3)) (All X, (All T, (((organization X) /\ (-. (has_endowment X))) => (-. (has_immunity X T))))) (-. (has_endowment T_0)) (organization T_0) ### Imply 86 91
% 42.21/42.38 93. (((has_immunity T_0 T_3) => ((hazard_of_mortality T_0 T_3) = (very_low))) /\ ((-. (has_immunity T_0 T_3)) => ((((is_aligned T_0 T_3) /\ (positional_advantage T_0 T_3)) => ((hazard_of_mortality T_0 T_3) = (low))) /\ ((((-. (is_aligned T_0 T_3)) /\ (positional_advantage T_0 T_3)) => ((hazard_of_mortality T_0 T_3) = (mod1))) /\ ((((is_aligned T_0 T_3) /\ (-. (positional_advantage T_0 T_3))) => ((hazard_of_mortality T_0 T_3) = (mod2))) /\ (((-. (is_aligned T_0 T_3)) /\ (-. (positional_advantage T_0 T_3))) => ((hazard_of_mortality T_0 T_3) = (high)))))))) (organization T_0) (-. (has_endowment T_0)) (All X, (All T, (((organization X) /\ (-. (has_endowment X))) => (-. (has_immunity X T))))) (-. (is_aligned T_0 T_3)) (positional_advantage T_0 T_3) ((mod1) != (hazard_of_mortality T_0 T_3)) ### And 92
% 42.21/42.38 94. ((organization T_0) => (((has_immunity T_0 T_3) => ((hazard_of_mortality T_0 T_3) = (very_low))) /\ ((-. (has_immunity T_0 T_3)) => ((((is_aligned T_0 T_3) /\ (positional_advantage T_0 T_3)) => ((hazard_of_mortality T_0 T_3) = (low))) /\ ((((-. (is_aligned T_0 T_3)) /\ (positional_advantage T_0 T_3)) => ((hazard_of_mortality T_0 T_3) = (mod1))) /\ ((((is_aligned T_0 T_3) /\ (-. (positional_advantage T_0 T_3))) => ((hazard_of_mortality T_0 T_3) = (mod2))) /\ (((-. (is_aligned T_0 T_3)) /\ (-. (positional_advantage T_0 T_3))) => ((hazard_of_mortality T_0 T_3) = (high))))))))) ((mod1) != (hazard_of_mortality T_0 T_3)) (positional_advantage T_0 T_3) (-. (is_aligned T_0 T_3)) (All X, (All T, (((organization X) /\ (-. (has_endowment X))) => (-. (has_immunity X T))))) (-. (has_endowment T_0)) (organization T_0) ### Imply 79 93
% 42.21/42.38 95. (All T, ((organization T_0) => (((has_immunity T_0 T) => ((hazard_of_mortality T_0 T) = (very_low))) /\ ((-. (has_immunity T_0 T)) => ((((is_aligned T_0 T) /\ (positional_advantage T_0 T)) => ((hazard_of_mortality T_0 T) = (low))) /\ ((((-. (is_aligned T_0 T)) /\ (positional_advantage T_0 T)) => ((hazard_of_mortality T_0 T) = (mod1))) /\ ((((is_aligned T_0 T) /\ (-. (positional_advantage T_0 T))) => ((hazard_of_mortality T_0 T) = (mod2))) /\ (((-. (is_aligned T_0 T)) /\ (-. (positional_advantage T_0 T))) => ((hazard_of_mortality T_0 T) = (high)))))))))) (organization T_0) (-. (has_endowment T_0)) (All X, (All T, (((organization X) /\ (-. (has_endowment X))) => (-. (has_immunity X T))))) (-. (is_aligned T_0 T_3)) (positional_advantage T_0 T_3) ((mod1) != (hazard_of_mortality T_0 T_3)) ### All 94
% 42.21/42.38 96. (All X, (All T, ((organization X) => (((has_immunity X T) => ((hazard_of_mortality X T) = (very_low))) /\ ((-. (has_immunity X T)) => ((((is_aligned X T) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (low))) /\ ((((-. (is_aligned X T)) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (mod1))) /\ ((((is_aligned X T) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (mod2))) /\ (((-. (is_aligned X T)) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (high))))))))))) ((mod1) != (hazard_of_mortality T_0 T_3)) (positional_advantage T_0 T_3) (-. (is_aligned T_0 T_3)) (All X, (All T, (((organization X) /\ (-. (has_endowment X))) => (-. (has_immunity X T))))) (-. (has_endowment T_0)) (organization T_0) ### All 95
% 42.21/42.38 97. (-. ((is_aligned T_0 T_1) <=> (is_aligned T_0 T_3))) (organization T_0) (-. (has_endowment T_0)) (All X, (All T, (((organization X) /\ (-. (has_endowment X))) => (-. (has_immunity X T))))) (positional_advantage T_0 T_3) ((mod1) != (hazard_of_mortality T_0 T_3)) (All X, (All T, ((organization X) => (((has_immunity X T) => ((hazard_of_mortality X T) = (very_low))) /\ ((-. (has_immunity X T)) => ((((is_aligned X T) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (low))) /\ ((((-. (is_aligned X T)) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (mod1))) /\ ((((is_aligned X T) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (mod2))) /\ (((-. (is_aligned X T)) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (high))))))))))) (is_aligned T_0 T_1) ### NotEquiv 78 96
% 42.21/42.38 98. ((organization T_0) /\ (-. ((is_aligned T_0 T_1) <=> (is_aligned T_0 T_3)))) (is_aligned T_0 T_1) (All X, (All T, ((organization X) => (((has_immunity X T) => ((hazard_of_mortality X T) = (very_low))) /\ ((-. (has_immunity X T)) => ((((is_aligned X T) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (low))) /\ ((((-. (is_aligned X T)) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (mod1))) /\ ((((is_aligned X T) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (mod2))) /\ (((-. (is_aligned X T)) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (high))))))))))) ((mod1) != (hazard_of_mortality T_0 T_3)) (positional_advantage T_0 T_3) (All X, (All T, (((organization X) /\ (-. (has_endowment X))) => (-. (has_immunity X T))))) (-. (has_endowment T_0)) (organization T_0) ### And 97
% 42.21/42.38 99. (dissimilar T_0 T_1 T_3) (organization T_0) (-. (has_endowment T_0)) (All X, (All T, (((organization X) /\ (-. (has_endowment X))) => (-. (has_immunity X T))))) (positional_advantage T_0 T_3) ((mod1) != (hazard_of_mortality T_0 T_3)) (All X, (All T, ((organization X) => (((has_immunity X T) => ((hazard_of_mortality X T) = (very_low))) /\ ((-. (has_immunity X T)) => ((((is_aligned X T) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (low))) /\ ((((-. (is_aligned X T)) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (mod1))) /\ ((((is_aligned X T) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (mod2))) /\ (((-. (is_aligned X T)) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (high))))))))))) (is_aligned T_0 T_1) ### Definition-Pseudo(dissimilar) 98
% 42.21/42.38 100. ((greater (age T_0 T_3) (sigma)) <=> (dissimilar T_0 T_1 T_3)) (is_aligned T_0 T_1) (All X, (All T, ((organization X) => (((has_immunity X T) => ((hazard_of_mortality X T) = (very_low))) /\ ((-. (has_immunity X T)) => ((((is_aligned X T) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (low))) /\ ((((-. (is_aligned X T)) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (mod1))) /\ ((((is_aligned X T) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (mod2))) /\ (((-. (is_aligned X T)) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (high))))))))))) ((mod1) != (hazard_of_mortality T_0 T_3)) (positional_advantage T_0 T_3) (All X, (All T, (((organization X) /\ (-. (has_endowment X))) => (-. (has_immunity X T))))) (-. (has_endowment T_0)) (organization T_0) (greater (age T_0 T_3) (sigma)) ### Equiv 77 99
% 42.21/42.38 101. (((organization T_0) /\ ((age T_0 T_1) = (zero))) => ((greater (age T_0 T_3) (sigma)) <=> (dissimilar T_0 T_1 T_3))) (greater (age T_0 T_3) (sigma)) (-. (has_endowment T_0)) (All X, (All T, (((organization X) /\ (-. (has_endowment X))) => (-. (has_immunity X T))))) (positional_advantage T_0 T_3) ((mod1) != (hazard_of_mortality T_0 T_3)) (All X, (All T, ((organization X) => (((has_immunity X T) => ((hazard_of_mortality X T) = (very_low))) /\ ((-. (has_immunity X T)) => ((((is_aligned X T) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (low))) /\ ((((-. (is_aligned X T)) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (mod1))) /\ ((((is_aligned X T) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (mod2))) /\ (((-. (is_aligned X T)) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (high))))))))))) (is_aligned T_0 T_1) ((age T_0 T_1) = (zero)) (organization T_0) ### DisjTree 75 76 100
% 42.21/42.38 102. (All T, (((organization T_0) /\ ((age T_0 T_1) = (zero))) => ((greater (age T_0 T) (sigma)) <=> (dissimilar T_0 T_1 T)))) (organization T_0) ((age T_0 T_1) = (zero)) (is_aligned T_0 T_1) (All X, (All T, ((organization X) => (((has_immunity X T) => ((hazard_of_mortality X T) = (very_low))) /\ ((-. (has_immunity X T)) => ((((is_aligned X T) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (low))) /\ ((((-. (is_aligned X T)) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (mod1))) /\ ((((is_aligned X T) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (mod2))) /\ (((-. (is_aligned X T)) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (high))))))))))) ((mod1) != (hazard_of_mortality T_0 T_3)) (positional_advantage T_0 T_3) (All X, (All T, (((organization X) /\ (-. (has_endowment X))) => (-. (has_immunity X T))))) (-. (has_endowment T_0)) (greater (age T_0 T_3) (sigma)) ### All 101
% 42.21/42.38 103. (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)) (-. (has_endowment T_0)) (All X, (All T, (((organization X) /\ (-. (has_endowment X))) => (-. (has_immunity X T))))) (positional_advantage T_0 T_3) ((mod1) != (hazard_of_mortality T_0 T_3)) (All X, (All T, ((organization X) => (((has_immunity X T) => ((hazard_of_mortality X T) = (very_low))) /\ ((-. (has_immunity X T)) => ((((is_aligned X T) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (low))) /\ ((((-. (is_aligned X T)) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (mod1))) /\ ((((is_aligned X T) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (mod2))) /\ (((-. (is_aligned X T)) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (high))))))))))) (is_aligned T_0 T_1) ((age T_0 T_1) = (zero)) (organization T_0) ### All 102
% 42.21/42.38 104. (((organization T_0) /\ ((age T_0 T_1) = (zero))) => (is_aligned T_0 T_1)) (All X, (All T, ((organization X) => (((has_immunity X T) => ((hazard_of_mortality X T) = (very_low))) /\ ((-. (has_immunity X T)) => ((((is_aligned X T) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (low))) /\ ((((-. (is_aligned X T)) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (mod1))) /\ ((((is_aligned X T) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (mod2))) /\ (((-. (is_aligned X T)) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (high))))))))))) ((mod1) != (hazard_of_mortality T_0 T_3)) (positional_advantage T_0 T_3) (All X, (All T, (((organization X) /\ (-. (has_endowment X))) => (-. (has_immunity X T))))) (-. (has_endowment T_0)) (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))))) ((age T_0 T_1) = (zero)) (organization T_0) ### DisjTree 73 74 103
% 42.21/42.38 105. (All T, (((organization T_0) /\ ((age T_0 T) = (zero))) => (is_aligned T_0 T))) (organization T_0) ((age T_0 T_1) = (zero)) (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)) (-. (has_endowment T_0)) (All X, (All T, (((organization X) /\ (-. (has_endowment X))) => (-. (has_immunity X T))))) (positional_advantage T_0 T_3) ((mod1) != (hazard_of_mortality T_0 T_3)) (All X, (All T, ((organization X) => (((has_immunity X T) => ((hazard_of_mortality X T) = (very_low))) /\ ((-. (has_immunity X T)) => ((((is_aligned X T) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (low))) /\ ((((-. (is_aligned X T)) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (mod1))) /\ ((((is_aligned X T) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (mod2))) /\ (((-. (is_aligned X T)) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (high))))))))))) ### All 104
% 42.21/42.38 106. ((greater (age T_0 T_3) (tau)) => (positional_advantage T_0 T_3)) (All X, (All T, ((organization X) => (((has_immunity X T) => ((hazard_of_mortality X T) = (very_low))) /\ ((-. (has_immunity X T)) => ((((is_aligned X T) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (low))) /\ ((((-. (is_aligned X T)) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (mod1))) /\ ((((is_aligned X T) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (mod2))) /\ (((-. (is_aligned X T)) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (high))))))))))) ((mod1) != (hazard_of_mortality T_0 T_3)) (All X, (All T, (((organization X) /\ (-. (has_endowment X))) => (-. (has_immunity X T))))) (-. (has_endowment 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))))) ((age T_0 T_1) = (zero)) (organization T_0) (All T, (((organization T_0) /\ ((age T_0 T) = (zero))) => (is_aligned T_0 T))) ((sigma) = (tau)) (greater (age T_0 T_3) (sigma)) ### Imply 72 105
% 42.21/42.38 107. (((smaller_or_equal (age T_0 T_3) (tau)) => (-. (positional_advantage T_0 T_3))) /\ ((greater (age T_0 T_3) (tau)) => (positional_advantage T_0 T_3))) (greater (age T_0 T_3) (sigma)) ((sigma) = (tau)) (All T, (((organization T_0) /\ ((age T_0 T) = (zero))) => (is_aligned T_0 T))) (organization T_0) ((age T_0 T_1) = (zero)) (All T0, (All T, (((organization T_0) /\ ((age T_0 T0) = (zero))) => ((greater (age T_0 T) (sigma)) <=> (dissimilar T_0 T0 T))))) (-. (has_endowment T_0)) (All X, (All T, (((organization X) /\ (-. (has_endowment X))) => (-. (has_immunity X T))))) ((mod1) != (hazard_of_mortality T_0 T_3)) (All X, (All T, ((organization X) => (((has_immunity X T) => ((hazard_of_mortality X T) = (very_low))) /\ ((-. (has_immunity X T)) => ((((is_aligned X T) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (low))) /\ ((((-. (is_aligned X T)) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (mod1))) /\ ((((is_aligned X T) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (mod2))) /\ (((-. (is_aligned X T)) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (high))))))))))) ### And 106
% 42.21/42.38 108. (All T, (((smaller_or_equal (age T_0 T) (tau)) => (-. (positional_advantage T_0 T))) /\ ((greater (age T_0 T) (tau)) => (positional_advantage T_0 T)))) (All X, (All T, ((organization X) => (((has_immunity X T) => ((hazard_of_mortality X T) = (very_low))) /\ ((-. (has_immunity X T)) => ((((is_aligned X T) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (low))) /\ ((((-. (is_aligned X T)) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (mod1))) /\ ((((is_aligned X T) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (mod2))) /\ (((-. (is_aligned X T)) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (high))))))))))) ((mod1) != (hazard_of_mortality T_0 T_3)) (All X, (All T, (((organization X) /\ (-. (has_endowment X))) => (-. (has_immunity X T))))) (-. (has_endowment 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))))) ((age T_0 T_1) = (zero)) (organization T_0) (All T, (((organization T_0) /\ ((age T_0 T) = (zero))) => (is_aligned T_0 T))) ((sigma) = (tau)) (greater (age T_0 T_3) (sigma)) ### All 107
% 42.21/42.38 109. (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_3) (sigma)) ((sigma) = (tau)) (All T, (((organization T_0) /\ ((age T_0 T) = (zero))) => (is_aligned T_0 T))) (organization T_0) ((age T_0 T_1) = (zero)) (-. (has_endowment T_0)) (All X, (All T, (((organization X) /\ (-. (has_endowment X))) => (-. (has_immunity X T))))) ((mod1) != (hazard_of_mortality T_0 T_3)) (All X, (All T, ((organization X) => (((has_immunity X T) => ((hazard_of_mortality X T) = (very_low))) /\ ((-. (has_immunity X T)) => ((((is_aligned X T) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (low))) /\ ((((-. (is_aligned X T)) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (mod1))) /\ ((((is_aligned X T) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (mod2))) /\ (((-. (is_aligned X T)) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (high))))))))))) (All T, (((smaller_or_equal (age T_0 T) (tau)) => (-. (positional_advantage T_0 T))) /\ ((greater (age T_0 T) (tau)) => (positional_advantage T_0 T)))) ### All 108
% 42.21/42.38 110. (All X, (All T, (((organization X) /\ ((age X T) = (zero))) => (is_aligned X T)))) (All T, (((smaller_or_equal (age T_0 T) (tau)) => (-. (positional_advantage T_0 T))) /\ ((greater (age T_0 T) (tau)) => (positional_advantage T_0 T)))) (All X, (All T, ((organization X) => (((has_immunity X T) => ((hazard_of_mortality X T) = (very_low))) /\ ((-. (has_immunity X T)) => ((((is_aligned X T) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (low))) /\ ((((-. (is_aligned X T)) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (mod1))) /\ ((((is_aligned X T) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (mod2))) /\ (((-. (is_aligned X T)) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (high))))))))))) ((mod1) != (hazard_of_mortality T_0 T_3)) (All X, (All T, (((organization X) /\ (-. (has_endowment X))) => (-. (has_immunity X T))))) (-. (has_endowment T_0)) ((age T_0 T_1) = (zero)) (organization T_0) ((sigma) = (tau)) (greater (age T_0 T_3) (sigma)) (All X, (All T0, (All T, (((organization X) /\ ((age X T0) = (zero))) => ((greater (age X T) (sigma)) <=> (dissimilar X T0 T)))))) ### All 109
% 42.21/42.38 111. (-. (greater (mod2) (hazard_of_mortality T_0 T_3))) (greater (mod2) (mod1)) (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_3) (sigma)) ((sigma) = (tau)) (organization T_0) ((age T_0 T_1) = (zero)) (-. (has_endowment T_0)) (All X, (All T, (((organization X) /\ (-. (has_endowment X))) => (-. (has_immunity X T))))) (All X, (All T, ((organization X) => (((has_immunity X T) => ((hazard_of_mortality X T) = (very_low))) /\ ((-. (has_immunity X T)) => ((((is_aligned X T) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (low))) /\ ((((-. (is_aligned X T)) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (mod1))) /\ ((((is_aligned X T) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (mod2))) /\ (((-. (is_aligned X T)) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (high))))))))))) (All T, (((smaller_or_equal (age T_0 T) (tau)) => (-. (positional_advantage T_0 T))) /\ ((greater (age T_0 T) (tau)) => (positional_advantage T_0 T)))) (All X, (All T, (((organization X) /\ ((age X T) = (zero))) => (is_aligned X T)))) ### Trans 69 110
% 42.21/42.38 112. (-. (greater (hazard_of_mortality T_0 T_1) (hazard_of_mortality T_0 T_3))) ((hazard_of_mortality T_0 T_1) = (mod2)) (All X, (All T, (((organization X) /\ ((age X T) = (zero))) => (is_aligned X T)))) (All T, (((smaller_or_equal (age T_0 T) (tau)) => (-. (positional_advantage T_0 T))) /\ ((greater (age T_0 T) (tau)) => (positional_advantage T_0 T)))) (All X, (All T, ((organization X) => (((has_immunity X T) => ((hazard_of_mortality X T) = (very_low))) /\ ((-. (has_immunity X T)) => ((((is_aligned X T) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (low))) /\ ((((-. (is_aligned X T)) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (mod1))) /\ ((((is_aligned X T) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (mod2))) /\ (((-. (is_aligned X T)) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (high))))))))))) (All X, (All T, (((organization X) /\ (-. (has_endowment X))) => (-. (has_immunity X T))))) (-. (has_endowment T_0)) ((age T_0 T_1) = (zero)) (organization T_0) ((sigma) = (tau)) (greater (age T_0 T_3) (sigma)) (All X, (All T0, (All T, (((organization X) /\ ((age X T0) = (zero))) => ((greater (age X T) (sigma)) <=> (dissimilar X T0 T)))))) (greater (mod2) (mod1)) ### TransEq 68 111 111
% 42.21/42.38 113. (-. (greater (hazard_of_mortality T_0 T_2) (hazard_of_mortality T_0 T_3))) (greater (mod2) (mod1)) (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_3) (sigma)) ((sigma) = (tau)) (All X, (All T, (((organization X) /\ ((age X T) = (zero))) => (is_aligned X T)))) ((hazard_of_mortality T_0 T_1) = (mod2)) (organization T_0) ((age T_0 T_1) = (zero)) (-. (greater (age T_0 T_2) (sigma))) (All X, (All Y, ((smaller X Y) \/ ((X = Y) \/ (greater X Y))))) (-. (greater (age T_0 T_2) (tau))) (All X, (All T, ((organization X) => (((has_immunity X T) => ((hazard_of_mortality X T) = (very_low))) /\ ((-. (has_immunity X T)) => ((((is_aligned X T) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (low))) /\ ((((-. (is_aligned X T)) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (mod1))) /\ ((((is_aligned X T) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (mod2))) /\ (((-. (is_aligned X T)) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (high))))))))))) (All X, (All T, (((organization X) /\ (-. (has_endowment X))) => (-. (has_immunity X T))))) (-. (has_endowment T_0)) (All T, (((smaller_or_equal (age T_0 T) (tau)) => (-. (positional_advantage T_0 T))) /\ ((greater (age T_0 T) (tau)) => (positional_advantage T_0 T)))) (is_aligned 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))))) ### TransEq2 67 112 112
% 42.21/42.38 114. (((is_aligned T_0 T_1) /\ (-. (positional_advantage T_0 T_1))) => ((hazard_of_mortality T_0 T_1) = (mod2))) (All T0, (All T, (((organization T_0) /\ ((age T_0 T0) = (zero))) => ((greater (age T_0 T) (sigma)) <=> (dissimilar T_0 T0 T))))) (-. (has_endowment T_0)) (All X, (All T, (((organization X) /\ (-. (has_endowment X))) => (-. (has_immunity X T))))) (All X, (All T, ((organization X) => (((has_immunity X T) => ((hazard_of_mortality X T) = (very_low))) /\ ((-. (has_immunity X T)) => ((((is_aligned X T) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (low))) /\ ((((-. (is_aligned X T)) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (mod1))) /\ ((((is_aligned X T) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (mod2))) /\ (((-. (is_aligned X T)) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (high))))))))))) (-. (greater (age T_0 T_2) (tau))) (All X, (All Y, ((smaller X Y) \/ ((X = Y) \/ (greater X Y))))) (-. (greater (age T_0 T_2) (sigma))) (organization T_0) (All X, (All T, (((organization X) /\ ((age X T) = (zero))) => (is_aligned X T)))) ((sigma) = (tau)) (greater (age T_0 T_3) (sigma)) (All X, (All T0, (All T, (((organization X) /\ ((age X T0) = (zero))) => ((greater (age X T) (sigma)) <=> (dissimilar X T0 T)))))) (greater (mod2) (mod1)) (-. (greater (hazard_of_mortality T_0 T_2) (hazard_of_mortality T_0 T_3))) ((age T_0 T_1) = (zero)) (greater (tau) (zero)) (All T, (((smaller_or_equal (age T_0 T) (tau)) => (-. (positional_advantage T_0 T))) /\ ((greater (age T_0 T) (tau)) => (positional_advantage T_0 T)))) (is_aligned T_0 T_1) ### DisjTree 13 22 113
% 42.24/42.42 115. ((((is_aligned T_0 T_1) /\ (positional_advantage T_0 T_1)) => ((hazard_of_mortality T_0 T_1) = (low))) /\ ((((-. (is_aligned T_0 T_1)) /\ (positional_advantage T_0 T_1)) => ((hazard_of_mortality T_0 T_1) = (mod1))) /\ ((((is_aligned T_0 T_1) /\ (-. (positional_advantage T_0 T_1))) => ((hazard_of_mortality T_0 T_1) = (mod2))) /\ (((-. (is_aligned T_0 T_1)) /\ (-. (positional_advantage T_0 T_1))) => ((hazard_of_mortality T_0 T_1) = (high)))))) (is_aligned T_0 T_1) (All T, (((smaller_or_equal (age T_0 T) (tau)) => (-. (positional_advantage T_0 T))) /\ ((greater (age T_0 T) (tau)) => (positional_advantage T_0 T)))) (greater (tau) (zero)) ((age T_0 T_1) = (zero)) (-. (greater (hazard_of_mortality T_0 T_2) (hazard_of_mortality T_0 T_3))) (greater (mod2) (mod1)) (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_3) (sigma)) ((sigma) = (tau)) (All X, (All T, (((organization X) /\ ((age X T) = (zero))) => (is_aligned X T)))) (organization T_0) (-. (greater (age T_0 T_2) (sigma))) (All X, (All Y, ((smaller X Y) \/ ((X = Y) \/ (greater X Y))))) (-. (greater (age T_0 T_2) (tau))) (All X, (All T, ((organization X) => (((has_immunity X T) => ((hazard_of_mortality X T) = (very_low))) /\ ((-. (has_immunity X T)) => ((((is_aligned X T) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (low))) /\ ((((-. (is_aligned X T)) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (mod1))) /\ ((((is_aligned X T) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (mod2))) /\ (((-. (is_aligned X T)) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (high))))))))))) (All X, (All T, (((organization X) /\ (-. (has_endowment X))) => (-. (has_immunity X T))))) (-. (has_endowment 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))))) ### ConjTree 114
% 42.24/42.42 116. ((-. (has_immunity T_0 T_1)) => ((((is_aligned T_0 T_1) /\ (positional_advantage T_0 T_1)) => ((hazard_of_mortality T_0 T_1) = (low))) /\ ((((-. (is_aligned T_0 T_1)) /\ (positional_advantage T_0 T_1)) => ((hazard_of_mortality T_0 T_1) = (mod1))) /\ ((((is_aligned T_0 T_1) /\ (-. (positional_advantage T_0 T_1))) => ((hazard_of_mortality T_0 T_1) = (mod2))) /\ (((-. (is_aligned T_0 T_1)) /\ (-. (positional_advantage T_0 T_1))) => ((hazard_of_mortality T_0 T_1) = (high))))))) (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 T, ((organization X) => (((has_immunity X T) => ((hazard_of_mortality X T) = (very_low))) /\ ((-. (has_immunity X T)) => ((((is_aligned X T) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (low))) /\ ((((-. (is_aligned X T)) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (mod1))) /\ ((((is_aligned X T) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (mod2))) /\ (((-. (is_aligned X T)) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (high))))))))))) (-. (greater (age T_0 T_2) (tau))) (All X, (All Y, ((smaller X Y) \/ ((X = Y) \/ (greater X Y))))) (-. (greater (age T_0 T_2) (sigma))) (All X, (All T, (((organization X) /\ ((age X T) = (zero))) => (is_aligned X T)))) ((sigma) = (tau)) (greater (age T_0 T_3) (sigma)) (All X, (All T0, (All T, (((organization X) /\ ((age X T0) = (zero))) => ((greater (age X T) (sigma)) <=> (dissimilar X T0 T)))))) (greater (mod2) (mod1)) (-. (greater (hazard_of_mortality T_0 T_2) (hazard_of_mortality T_0 T_3))) ((age T_0 T_1) = (zero)) (greater (tau) (zero)) (All T, (((smaller_or_equal (age T_0 T) (tau)) => (-. (positional_advantage T_0 T))) /\ ((greater (age T_0 T) (tau)) => (positional_advantage T_0 T)))) (is_aligned T_0 T_1) (All X, (All T, (((organization X) /\ (-. (has_endowment X))) => (-. (has_immunity X T))))) (-. (has_endowment T_0)) (organization T_0) ### Imply 12 115
% 42.24/42.42 117. (((has_immunity T_0 T_1) => ((hazard_of_mortality T_0 T_1) = (very_low))) /\ ((-. (has_immunity T_0 T_1)) => ((((is_aligned T_0 T_1) /\ (positional_advantage T_0 T_1)) => ((hazard_of_mortality T_0 T_1) = (low))) /\ ((((-. (is_aligned T_0 T_1)) /\ (positional_advantage T_0 T_1)) => ((hazard_of_mortality T_0 T_1) = (mod1))) /\ ((((is_aligned T_0 T_1) /\ (-. (positional_advantage T_0 T_1))) => ((hazard_of_mortality T_0 T_1) = (mod2))) /\ (((-. (is_aligned T_0 T_1)) /\ (-. (positional_advantage T_0 T_1))) => ((hazard_of_mortality T_0 T_1) = (high)))))))) (organization T_0) (-. (has_endowment T_0)) (All X, (All T, (((organization X) /\ (-. (has_endowment X))) => (-. (has_immunity X T))))) (is_aligned T_0 T_1) (All T, (((smaller_or_equal (age T_0 T) (tau)) => (-. (positional_advantage T_0 T))) /\ ((greater (age T_0 T) (tau)) => (positional_advantage T_0 T)))) (greater (tau) (zero)) ((age T_0 T_1) = (zero)) (-. (greater (hazard_of_mortality T_0 T_2) (hazard_of_mortality T_0 T_3))) (greater (mod2) (mod1)) (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_3) (sigma)) ((sigma) = (tau)) (All X, (All T, (((organization X) /\ ((age X T) = (zero))) => (is_aligned X T)))) (-. (greater (age T_0 T_2) (sigma))) (All X, (All Y, ((smaller X Y) \/ ((X = Y) \/ (greater X Y))))) (-. (greater (age T_0 T_2) (tau))) (All X, (All T, ((organization X) => (((has_immunity X T) => ((hazard_of_mortality X T) = (very_low))) /\ ((-. (has_immunity X T)) => ((((is_aligned X T) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (low))) /\ ((((-. (is_aligned X T)) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (mod1))) /\ ((((is_aligned X T) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (mod2))) /\ (((-. (is_aligned X T)) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (high))))))))))) (All T0, (All T, (((organization T_0) /\ ((age T_0 T0) = (zero))) => ((greater (age T_0 T) (sigma)) <=> (dissimilar T_0 T0 T))))) ### And 116
% 42.24/42.42 118. ((organization T_0) => (((has_immunity T_0 T_1) => ((hazard_of_mortality T_0 T_1) = (very_low))) /\ ((-. (has_immunity T_0 T_1)) => ((((is_aligned T_0 T_1) /\ (positional_advantage T_0 T_1)) => ((hazard_of_mortality T_0 T_1) = (low))) /\ ((((-. (is_aligned T_0 T_1)) /\ (positional_advantage T_0 T_1)) => ((hazard_of_mortality T_0 T_1) = (mod1))) /\ ((((is_aligned T_0 T_1) /\ (-. (positional_advantage T_0 T_1))) => ((hazard_of_mortality T_0 T_1) = (mod2))) /\ (((-. (is_aligned T_0 T_1)) /\ (-. (positional_advantage T_0 T_1))) => ((hazard_of_mortality T_0 T_1) = (high))))))))) (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 T, ((organization X) => (((has_immunity X T) => ((hazard_of_mortality X T) = (very_low))) /\ ((-. (has_immunity X T)) => ((((is_aligned X T) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (low))) /\ ((((-. (is_aligned X T)) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (mod1))) /\ ((((is_aligned X T) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (mod2))) /\ (((-. (is_aligned X T)) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (high))))))))))) (-. (greater (age T_0 T_2) (tau))) (All X, (All Y, ((smaller X Y) \/ ((X = Y) \/ (greater X Y))))) (-. (greater (age T_0 T_2) (sigma))) (All X, (All T, (((organization X) /\ ((age X T) = (zero))) => (is_aligned X T)))) ((sigma) = (tau)) (greater (age T_0 T_3) (sigma)) (All X, (All T0, (All T, (((organization X) /\ ((age X T0) = (zero))) => ((greater (age X T) (sigma)) <=> (dissimilar X T0 T)))))) (greater (mod2) (mod1)) (-. (greater (hazard_of_mortality T_0 T_2) (hazard_of_mortality T_0 T_3))) ((age T_0 T_1) = (zero)) (greater (tau) (zero)) (All T, (((smaller_or_equal (age T_0 T) (tau)) => (-. (positional_advantage T_0 T))) /\ ((greater (age T_0 T) (tau)) => (positional_advantage T_0 T)))) (is_aligned T_0 T_1) (All X, (All T, (((organization X) /\ (-. (has_endowment X))) => (-. (has_immunity X T))))) (-. (has_endowment T_0)) (organization T_0) ### Imply 5 117
% 42.24/42.42 119. (All T, ((organization T_0) => (((has_immunity T_0 T) => ((hazard_of_mortality T_0 T) = (very_low))) /\ ((-. (has_immunity T_0 T)) => ((((is_aligned T_0 T) /\ (positional_advantage T_0 T)) => ((hazard_of_mortality T_0 T) = (low))) /\ ((((-. (is_aligned T_0 T)) /\ (positional_advantage T_0 T)) => ((hazard_of_mortality T_0 T) = (mod1))) /\ ((((is_aligned T_0 T) /\ (-. (positional_advantage T_0 T))) => ((hazard_of_mortality T_0 T) = (mod2))) /\ (((-. (is_aligned T_0 T)) /\ (-. (positional_advantage T_0 T))) => ((hazard_of_mortality T_0 T) = (high)))))))))) (organization T_0) (-. (has_endowment T_0)) (All X, (All T, (((organization X) /\ (-. (has_endowment X))) => (-. (has_immunity X T))))) (is_aligned T_0 T_1) (All T, (((smaller_or_equal (age T_0 T) (tau)) => (-. (positional_advantage T_0 T))) /\ ((greater (age T_0 T) (tau)) => (positional_advantage T_0 T)))) (greater (tau) (zero)) ((age T_0 T_1) = (zero)) (-. (greater (hazard_of_mortality T_0 T_2) (hazard_of_mortality T_0 T_3))) (greater (mod2) (mod1)) (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_3) (sigma)) ((sigma) = (tau)) (All X, (All T, (((organization X) /\ ((age X T) = (zero))) => (is_aligned X T)))) (-. (greater (age T_0 T_2) (sigma))) (All X, (All Y, ((smaller X Y) \/ ((X = Y) \/ (greater X Y))))) (-. (greater (age T_0 T_2) (tau))) (All X, (All T, ((organization X) => (((has_immunity X T) => ((hazard_of_mortality X T) = (very_low))) /\ ((-. (has_immunity X T)) => ((((is_aligned X T) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (low))) /\ ((((-. (is_aligned X T)) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (mod1))) /\ ((((is_aligned X T) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (mod2))) /\ (((-. (is_aligned X T)) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (high))))))))))) (All T0, (All T, (((organization T_0) /\ ((age T_0 T0) = (zero))) => ((greater (age T_0 T) (sigma)) <=> (dissimilar T_0 T0 T))))) ### All 118
% 42.24/42.42 120. (All X, (All T, ((organization X) => (((has_immunity X T) => ((hazard_of_mortality X T) = (very_low))) /\ ((-. (has_immunity X T)) => ((((is_aligned X T) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (low))) /\ ((((-. (is_aligned X T)) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (mod1))) /\ ((((is_aligned X T) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (mod2))) /\ (((-. (is_aligned X T)) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (high))))))))))) (-. (greater (age T_0 T_2) (tau))) (All X, (All Y, ((smaller X Y) \/ ((X = Y) \/ (greater X Y))))) (-. (greater (age T_0 T_2) (sigma))) (All X, (All T, (((organization X) /\ ((age X T) = (zero))) => (is_aligned X T)))) ((sigma) = (tau)) (greater (age T_0 T_3) (sigma)) (All X, (All T0, (All T, (((organization X) /\ ((age X T0) = (zero))) => ((greater (age X T) (sigma)) <=> (dissimilar X T0 T)))))) (greater (mod2) (mod1)) (-. (greater (hazard_of_mortality T_0 T_2) (hazard_of_mortality T_0 T_3))) ((age T_0 T_1) = (zero)) (greater (tau) (zero)) (All T, (((smaller_or_equal (age T_0 T) (tau)) => (-. (positional_advantage T_0 T))) /\ ((greater (age T_0 T) (tau)) => (positional_advantage T_0 T)))) (is_aligned T_0 T_1) (All X, (All T, (((organization X) /\ (-. (has_endowment X))) => (-. (has_immunity X T))))) (-. (has_endowment T_0)) (organization T_0) (All T, ((organization T_0) => (((has_immunity T_0 T) => ((hazard_of_mortality T_0 T) = (very_low))) /\ ((-. (has_immunity T_0 T)) => ((((is_aligned T_0 T) /\ (positional_advantage T_0 T)) => ((hazard_of_mortality T_0 T) = (low))) /\ ((((-. (is_aligned T_0 T)) /\ (positional_advantage T_0 T)) => ((hazard_of_mortality T_0 T) = (mod1))) /\ ((((is_aligned T_0 T) /\ (-. (positional_advantage T_0 T))) => ((hazard_of_mortality T_0 T) = (mod2))) /\ (((-. (is_aligned T_0 T)) /\ (-. (positional_advantage T_0 T))) => ((hazard_of_mortality T_0 T) = (high)))))))))) ### All 119
% 42.24/42.42 121. (organization T_0) (-. (has_endowment T_0)) (All X, (All T, (((organization X) /\ (-. (has_endowment X))) => (-. (has_immunity X T))))) (is_aligned T_0 T_1) (All T, (((smaller_or_equal (age T_0 T) (tau)) => (-. (positional_advantage T_0 T))) /\ ((greater (age T_0 T) (tau)) => (positional_advantage T_0 T)))) (greater (tau) (zero)) ((age T_0 T_1) = (zero)) (-. (greater (hazard_of_mortality T_0 T_2) (hazard_of_mortality T_0 T_3))) (greater (mod2) (mod1)) (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_3) (sigma)) ((sigma) = (tau)) (All X, (All T, (((organization X) /\ ((age X T) = (zero))) => (is_aligned X T)))) (-. (greater (age T_0 T_2) (sigma))) (All X, (All Y, ((smaller X Y) \/ ((X = Y) \/ (greater X Y))))) (-. (greater (age T_0 T_2) (tau))) (All X, (All T, ((organization X) => (((has_immunity X T) => ((hazard_of_mortality X T) = (very_low))) /\ ((-. (has_immunity X T)) => ((((is_aligned X T) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (low))) /\ ((((-. (is_aligned X T)) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (mod1))) /\ ((((is_aligned X T) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (mod2))) /\ (((-. (is_aligned X T)) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (high))))))))))) ### All 120
% 42.24/42.42 122. (((organization T_0) /\ ((age T_0 T_1) = (zero))) => (is_aligned T_0 T_1)) (All X, (All T, ((organization X) => (((has_immunity X T) => ((hazard_of_mortality X T) = (very_low))) /\ ((-. (has_immunity X T)) => ((((is_aligned X T) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (low))) /\ ((((-. (is_aligned X T)) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (mod1))) /\ ((((is_aligned X T) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (mod2))) /\ (((-. (is_aligned X T)) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (high))))))))))) (-. (greater (age T_0 T_2) (tau))) (All X, (All Y, ((smaller X Y) \/ ((X = Y) \/ (greater X Y))))) (-. (greater (age T_0 T_2) (sigma))) (All X, (All T, (((organization X) /\ ((age X T) = (zero))) => (is_aligned X T)))) ((sigma) = (tau)) (greater (age T_0 T_3) (sigma)) (All X, (All T0, (All T, (((organization X) /\ ((age X T0) = (zero))) => ((greater (age X T) (sigma)) <=> (dissimilar X T0 T)))))) (greater (mod2) (mod1)) (-. (greater (hazard_of_mortality T_0 T_2) (hazard_of_mortality T_0 T_3))) (greater (tau) (zero)) (All T, (((smaller_or_equal (age T_0 T) (tau)) => (-. (positional_advantage T_0 T))) /\ ((greater (age T_0 T) (tau)) => (positional_advantage T_0 T)))) (All X, (All T, (((organization X) /\ (-. (has_endowment X))) => (-. (has_immunity X T))))) (-. (has_endowment T_0)) ((age T_0 T_1) = (zero)) (organization T_0) ### DisjTree 3 4 121
% 42.24/42.42 123. (All T, (((organization T_0) /\ ((age T_0 T) = (zero))) => (is_aligned T_0 T))) (organization T_0) ((age T_0 T_1) = (zero)) (-. (has_endowment T_0)) (All X, (All T, (((organization X) /\ (-. (has_endowment X))) => (-. (has_immunity X T))))) (All T, (((smaller_or_equal (age T_0 T) (tau)) => (-. (positional_advantage T_0 T))) /\ ((greater (age T_0 T) (tau)) => (positional_advantage T_0 T)))) (greater (tau) (zero)) (-. (greater (hazard_of_mortality T_0 T_2) (hazard_of_mortality T_0 T_3))) (greater (mod2) (mod1)) (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_3) (sigma)) ((sigma) = (tau)) (All X, (All T, (((organization X) /\ ((age X T) = (zero))) => (is_aligned X T)))) (-. (greater (age T_0 T_2) (sigma))) (All X, (All Y, ((smaller X Y) \/ ((X = Y) \/ (greater X Y))))) (-. (greater (age T_0 T_2) (tau))) (All X, (All T, ((organization X) => (((has_immunity X T) => ((hazard_of_mortality X T) = (very_low))) /\ ((-. (has_immunity X T)) => ((((is_aligned X T) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (low))) /\ ((((-. (is_aligned X T)) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (mod1))) /\ ((((is_aligned X T) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (mod2))) /\ (((-. (is_aligned X T)) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (high))))))))))) ### All 122
% 42.24/42.43 124. (All X, (All T, ((organization X) => (((has_immunity X T) => ((hazard_of_mortality X T) = (very_low))) /\ ((-. (has_immunity X T)) => ((((is_aligned X T) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (low))) /\ ((((-. (is_aligned X T)) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (mod1))) /\ ((((is_aligned X T) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (mod2))) /\ (((-. (is_aligned X T)) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (high))))))))))) (-. (greater (age T_0 T_2) (tau))) (All X, (All Y, ((smaller X Y) \/ ((X = Y) \/ (greater X Y))))) (-. (greater (age T_0 T_2) (sigma))) (All X, (All T, (((organization X) /\ ((age X T) = (zero))) => (is_aligned X T)))) ((sigma) = (tau)) (greater (age T_0 T_3) (sigma)) (All X, (All T0, (All T, (((organization X) /\ ((age X T0) = (zero))) => ((greater (age X T) (sigma)) <=> (dissimilar X T0 T)))))) (greater (mod2) (mod1)) (-. (greater (hazard_of_mortality T_0 T_2) (hazard_of_mortality T_0 T_3))) (greater (tau) (zero)) (All T, (((smaller_or_equal (age T_0 T) (tau)) => (-. (positional_advantage T_0 T))) /\ ((greater (age T_0 T) (tau)) => (positional_advantage T_0 T)))) (All X, (All T, (((organization X) /\ (-. (has_endowment X))) => (-. (has_immunity X T))))) (-. (has_endowment T_0)) ((age T_0 T_1) = (zero)) (organization T_0) ### All 123
% 42.24/42.43 125. (organization T_0) ((age T_0 T_1) = (zero)) (-. (has_endowment T_0)) (All X, (All T, (((organization X) /\ (-. (has_endowment X))) => (-. (has_immunity X T))))) (All T, (((smaller_or_equal (age T_0 T) (tau)) => (-. (positional_advantage T_0 T))) /\ ((greater (age T_0 T) (tau)) => (positional_advantage T_0 T)))) (greater (tau) (zero)) (-. (greater (hazard_of_mortality T_0 T_2) (hazard_of_mortality T_0 T_3))) (greater (mod2) (mod1)) (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_3) (sigma)) ((sigma) = (tau)) (All X, (All T, (((organization X) /\ ((age X T) = (zero))) => (is_aligned X T)))) (All X, (All Y, ((smaller X Y) \/ ((X = Y) \/ (greater X Y))))) (-. (greater (age T_0 T_2) (tau))) (All X, (All T, ((organization X) => (((has_immunity X T) => ((hazard_of_mortality X T) = (very_low))) /\ ((-. (has_immunity X T)) => ((((is_aligned X T) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (low))) /\ ((((-. (is_aligned X T)) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (mod1))) /\ ((((is_aligned X T) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (mod2))) /\ (((-. (is_aligned X T)) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (high))))))))))) ### TransEq 124 124 1
% 42.24/42.43 126. (-. (greater (sigma) (tau))) (greater (sigma) (age T_0 T_2)) (All X, (All T, ((organization X) => (((has_immunity X T) => ((hazard_of_mortality X T) = (very_low))) /\ ((-. (has_immunity X T)) => ((((is_aligned X T) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (low))) /\ ((((-. (is_aligned X T)) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (mod1))) /\ ((((is_aligned X T) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (mod2))) /\ (((-. (is_aligned X T)) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (high))))))))))) (All X, (All Y, ((smaller X Y) \/ ((X = Y) \/ (greater X Y))))) (All X, (All T, (((organization X) /\ ((age X T) = (zero))) => (is_aligned X T)))) ((sigma) = (tau)) (greater (age T_0 T_3) (sigma)) (All X, (All T0, (All T, (((organization X) /\ ((age X T0) = (zero))) => ((greater (age X T) (sigma)) <=> (dissimilar X T0 T)))))) (greater (mod2) (mod1)) (-. (greater (hazard_of_mortality T_0 T_2) (hazard_of_mortality T_0 T_3))) (greater (tau) (zero)) (All T, (((smaller_or_equal (age T_0 T) (tau)) => (-. (positional_advantage T_0 T))) /\ ((greater (age T_0 T) (tau)) => (positional_advantage T_0 T)))) (All X, (All T, (((organization X) /\ (-. (has_endowment X))) => (-. (has_immunity X T))))) (-. (has_endowment T_0)) ((age T_0 T_1) = (zero)) (organization T_0) ### Trans 2 125
% 42.24/42.43 127. ((sigma) = (tau)) ((sigma) != (tau)) ### Axiom
% 42.24/42.43 128. (-. (greater (tau) (tau))) (organization T_0) ((age T_0 T_1) = (zero)) (-. (has_endowment T_0)) (All X, (All T, (((organization X) /\ (-. (has_endowment X))) => (-. (has_immunity X T))))) (All T, (((smaller_or_equal (age T_0 T) (tau)) => (-. (positional_advantage T_0 T))) /\ ((greater (age T_0 T) (tau)) => (positional_advantage T_0 T)))) (greater (tau) (zero)) (-. (greater (hazard_of_mortality T_0 T_2) (hazard_of_mortality T_0 T_3))) (greater (mod2) (mod1)) (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_3) (sigma)) ((sigma) = (tau)) (All X, (All T, (((organization X) /\ ((age X T) = (zero))) => (is_aligned X T)))) (All X, (All Y, ((smaller X Y) \/ ((X = Y) \/ (greater X Y))))) (All X, (All T, ((organization X) => (((has_immunity X T) => ((hazard_of_mortality X T) = (very_low))) /\ ((-. (has_immunity X T)) => ((((is_aligned X T) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (low))) /\ ((((-. (is_aligned X T)) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (mod1))) /\ ((((is_aligned X T) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (mod2))) /\ (((-. (is_aligned X T)) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (high))))))))))) (greater (sigma) (age T_0 T_2)) ### TransEq2 1 126 127
% 42.24/42.43 129. (All X, (All T, ((organization X) => (((has_immunity X T) => ((hazard_of_mortality X T) = (very_low))) /\ ((-. (has_immunity X T)) => ((((is_aligned X T) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (low))) /\ ((((-. (is_aligned X T)) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (mod1))) /\ ((((is_aligned X T) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (mod2))) /\ (((-. (is_aligned X T)) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (high))))))))))) (All X, (All Y, ((smaller X Y) \/ ((X = Y) \/ (greater X Y))))) (-. (greater (age T_0 T_2) (sigma))) (All X, (All T, (((organization X) /\ ((age X T) = (zero))) => (is_aligned X T)))) ((sigma) = (tau)) (greater (age T_0 T_3) (sigma)) (All X, (All T0, (All T, (((organization X) /\ ((age X T0) = (zero))) => ((greater (age X T) (sigma)) <=> (dissimilar X T0 T)))))) (greater (mod2) (mod1)) (-. (greater (hazard_of_mortality T_0 T_2) (hazard_of_mortality T_0 T_3))) (greater (tau) (zero)) (All T, (((smaller_or_equal (age T_0 T) (tau)) => (-. (positional_advantage T_0 T))) /\ ((greater (age T_0 T) (tau)) => (positional_advantage T_0 T)))) (All X, (All T, (((organization X) /\ (-. (has_endowment X))) => (-. (has_immunity X T))))) (-. (has_endowment T_0)) ((age T_0 T_1) = (zero)) (organization T_0) (All T, (((organization T_0) /\ ((age T_0 T) = (zero))) => (is_aligned T_0 T))) ### TransEq2 123 123 2
% 42.24/42.43 130. (-. (greater (sigma) (sigma))) (greater (sigma) (age T_0 T_2)) (All T, (((organization T_0) /\ ((age T_0 T) = (zero))) => (is_aligned T_0 T))) (organization T_0) ((age T_0 T_1) = (zero)) (-. (has_endowment T_0)) (All X, (All T, (((organization X) /\ (-. (has_endowment X))) => (-. (has_immunity X T))))) (All T, (((smaller_or_equal (age T_0 T) (tau)) => (-. (positional_advantage T_0 T))) /\ ((greater (age T_0 T) (tau)) => (positional_advantage T_0 T)))) (greater (tau) (zero)) (-. (greater (hazard_of_mortality T_0 T_2) (hazard_of_mortality T_0 T_3))) (greater (mod2) (mod1)) (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_3) (sigma)) ((sigma) = (tau)) (All X, (All T, (((organization X) /\ ((age X T) = (zero))) => (is_aligned X T)))) (All X, (All Y, ((smaller X Y) \/ ((X = Y) \/ (greater X Y))))) (All X, (All T, ((organization X) => (((has_immunity X T) => ((hazard_of_mortality X T) = (very_low))) /\ ((-. (has_immunity X T)) => ((((is_aligned X T) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (low))) /\ ((((-. (is_aligned X T)) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (mod1))) /\ ((((is_aligned X T) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (mod2))) /\ (((-. (is_aligned X T)) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (high))))))))))) ### Trans 2 129
% 42.28/42.45 131. (-. (greater (tau) (sigma))) (All T, (((organization T_0) /\ ((age T_0 T) = (zero))) => (is_aligned T_0 T))) (greater (sigma) (age T_0 T_2)) (All X, (All T, ((organization X) => (((has_immunity X T) => ((hazard_of_mortality X T) = (very_low))) /\ ((-. (has_immunity X T)) => ((((is_aligned X T) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (low))) /\ ((((-. (is_aligned X T)) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (mod1))) /\ ((((is_aligned X T) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (mod2))) /\ (((-. (is_aligned X T)) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (high))))))))))) (All X, (All Y, ((smaller X Y) \/ ((X = Y) \/ (greater X Y))))) (All X, (All T, (((organization X) /\ ((age X T) = (zero))) => (is_aligned X T)))) ((sigma) = (tau)) (greater (age T_0 T_3) (sigma)) (All X, (All T0, (All T, (((organization X) /\ ((age X T0) = (zero))) => ((greater (age X T) (sigma)) <=> (dissimilar X T0 T)))))) (greater (mod2) (mod1)) (-. (greater (hazard_of_mortality T_0 T_2) (hazard_of_mortality T_0 T_3))) (greater (tau) (zero)) (All T, (((smaller_or_equal (age T_0 T) (tau)) => (-. (positional_advantage T_0 T))) /\ ((greater (age T_0 T) (tau)) => (positional_advantage T_0 T)))) (All X, (All T, (((organization X) /\ (-. (has_endowment X))) => (-. (has_immunity X T))))) (-. (has_endowment T_0)) ((age T_0 T_1) = (zero)) (organization T_0) ### TransEq2 1 128 130
% 42.28/42.45 132. (-. ((greater (tau) (sigma)) /\ (greater (sigma) (tau)))) (organization T_0) ((age T_0 T_1) = (zero)) (-. (has_endowment T_0)) (All X, (All T, (((organization X) /\ (-. (has_endowment X))) => (-. (has_immunity X T))))) (All T, (((smaller_or_equal (age T_0 T) (tau)) => (-. (positional_advantage T_0 T))) /\ ((greater (age T_0 T) (tau)) => (positional_advantage T_0 T)))) (greater (tau) (zero)) (-. (greater (hazard_of_mortality T_0 T_2) (hazard_of_mortality T_0 T_3))) (greater (mod2) (mod1)) (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_3) (sigma)) ((sigma) = (tau)) (All X, (All T, (((organization X) /\ ((age X T) = (zero))) => (is_aligned X T)))) (All X, (All Y, ((smaller X Y) \/ ((X = Y) \/ (greater X Y))))) (All X, (All T, ((organization X) => (((has_immunity X T) => ((hazard_of_mortality X T) = (very_low))) /\ ((-. (has_immunity X T)) => ((((is_aligned X T) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (low))) /\ ((((-. (is_aligned X T)) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (mod1))) /\ ((((is_aligned X T) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (mod2))) /\ (((-. (is_aligned X T)) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (high))))))))))) (greater (sigma) (age T_0 T_2)) (All T, (((organization T_0) /\ ((age T_0 T) = (zero))) => (is_aligned T_0 T))) ### NotAnd 131 126
% 42.28/42.45 133. (All Y, (-. ((greater (tau) Y) /\ (greater Y (tau))))) (All T, (((organization T_0) /\ ((age T_0 T) = (zero))) => (is_aligned T_0 T))) (greater (sigma) (age T_0 T_2)) (All X, (All T, ((organization X) => (((has_immunity X T) => ((hazard_of_mortality X T) = (very_low))) /\ ((-. (has_immunity X T)) => ((((is_aligned X T) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (low))) /\ ((((-. (is_aligned X T)) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (mod1))) /\ ((((is_aligned X T) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (mod2))) /\ (((-. (is_aligned X T)) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (high))))))))))) (All X, (All Y, ((smaller X Y) \/ ((X = Y) \/ (greater X Y))))) (All X, (All T, (((organization X) /\ ((age X T) = (zero))) => (is_aligned X T)))) ((sigma) = (tau)) (greater (age T_0 T_3) (sigma)) (All X, (All T0, (All T, (((organization X) /\ ((age X T0) = (zero))) => ((greater (age X T) (sigma)) <=> (dissimilar X T0 T)))))) (greater (mod2) (mod1)) (-. (greater (hazard_of_mortality T_0 T_2) (hazard_of_mortality T_0 T_3))) (greater (tau) (zero)) (All T, (((smaller_or_equal (age T_0 T) (tau)) => (-. (positional_advantage T_0 T))) /\ ((greater (age T_0 T) (tau)) => (positional_advantage T_0 T)))) (All X, (All T, (((organization X) /\ (-. (has_endowment X))) => (-. (has_immunity X T))))) (-. (has_endowment T_0)) ((age T_0 T_1) = (zero)) (organization T_0) ### All 132
% 42.28/42.45 134. (All X, (All Y, (-. ((greater X Y) /\ (greater Y X))))) (organization T_0) ((age T_0 T_1) = (zero)) (-. (has_endowment T_0)) (All X, (All T, (((organization X) /\ (-. (has_endowment X))) => (-. (has_immunity X T))))) (All T, (((smaller_or_equal (age T_0 T) (tau)) => (-. (positional_advantage T_0 T))) /\ ((greater (age T_0 T) (tau)) => (positional_advantage T_0 T)))) (greater (tau) (zero)) (-. (greater (hazard_of_mortality T_0 T_2) (hazard_of_mortality T_0 T_3))) (greater (mod2) (mod1)) (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_3) (sigma)) ((sigma) = (tau)) (All X, (All T, (((organization X) /\ ((age X T) = (zero))) => (is_aligned X T)))) (All X, (All Y, ((smaller X Y) \/ ((X = Y) \/ (greater X Y))))) (All X, (All T, ((organization X) => (((has_immunity X T) => ((hazard_of_mortality X T) = (very_low))) /\ ((-. (has_immunity X T)) => ((((is_aligned X T) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (low))) /\ ((((-. (is_aligned X T)) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (mod1))) /\ ((((is_aligned X T) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (mod2))) /\ (((-. (is_aligned X T)) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (high))))))))))) (greater (sigma) (age T_0 T_2)) (All T, (((organization T_0) /\ ((age T_0 T) = (zero))) => (is_aligned T_0 T))) ### All 133
% 42.28/42.45 135. (greater (sigma) (age T_0 T_2)) (All X, (All T, ((organization X) => (((has_immunity X T) => ((hazard_of_mortality X T) = (very_low))) /\ ((-. (has_immunity X T)) => ((((is_aligned X T) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (low))) /\ ((((-. (is_aligned X T)) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (mod1))) /\ ((((is_aligned X T) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (mod2))) /\ (((-. (is_aligned X T)) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (high))))))))))) (All X, (All Y, ((smaller X Y) \/ ((X = Y) \/ (greater X Y))))) (All X, (All T, (((organization X) /\ ((age X T) = (zero))) => (is_aligned X T)))) ((sigma) = (tau)) (greater (age T_0 T_3) (sigma)) (All X, (All T0, (All T, (((organization X) /\ ((age X T0) = (zero))) => ((greater (age X T) (sigma)) <=> (dissimilar X T0 T)))))) (greater (mod2) (mod1)) (-. (greater (hazard_of_mortality T_0 T_2) (hazard_of_mortality T_0 T_3))) (greater (tau) (zero)) (All T, (((smaller_or_equal (age T_0 T) (tau)) => (-. (positional_advantage T_0 T))) /\ ((greater (age T_0 T) (tau)) => (positional_advantage T_0 T)))) (All X, (All T, (((organization X) /\ (-. (has_endowment X))) => (-. (has_immunity X T))))) (-. (has_endowment T_0)) ((age T_0 T_1) = (zero)) (organization T_0) (All X, (All Y, (-. ((greater X Y) /\ (greater Y X))))) ### All 134
% 42.28/42.45 136. (-. (smaller (hazard_of_mortality T_0 T_3) (hazard_of_mortality T_0 T_2))) (All X, (All Y, (-. ((greater X Y) /\ (greater Y X))))) (organization T_0) ((age T_0 T_1) = (zero)) (-. (has_endowment T_0)) (All X, (All T, (((organization X) /\ (-. (has_endowment X))) => (-. (has_immunity X T))))) (All T, (((smaller_or_equal (age T_0 T) (tau)) => (-. (positional_advantage T_0 T))) /\ ((greater (age T_0 T) (tau)) => (positional_advantage T_0 T)))) (greater (tau) (zero)) (greater (mod2) (mod1)) (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_3) (sigma)) ((sigma) = (tau)) (All X, (All T, (((organization X) /\ ((age X T) = (zero))) => (is_aligned X T)))) (All X, (All Y, ((smaller X Y) \/ ((X = Y) \/ (greater X Y))))) (All X, (All T, ((organization X) => (((has_immunity X T) => ((hazard_of_mortality X T) = (very_low))) /\ ((-. (has_immunity X T)) => ((((is_aligned X T) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (low))) /\ ((((-. (is_aligned X T)) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (mod1))) /\ ((((is_aligned X T) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (mod2))) /\ (((-. (is_aligned X T)) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (high))))))))))) (greater (sigma) (age T_0 T_2)) ### Definition-Pseudo(smaller) 135
% 42.28/42.47 137. (organization T_0) (-. (organization T_0)) ### Axiom
% 42.28/42.47 138. ((age T_0 T_1) = (zero)) ((age T_0 T_1) != (zero)) ### Axiom
% 42.28/42.47 139. (organization T_0) (-. (organization T_0)) ### Axiom
% 42.28/42.47 140. (organization T_0) (-. (organization T_0)) ### Axiom
% 42.28/42.47 141. ((age T_0 T_1) = (zero)) ((age T_0 T_1) != (zero)) ### Axiom
% 42.28/42.47 142. (organization T_0) (-. (organization T_0)) ### Axiom
% 42.28/42.47 143. (is_aligned T_0 T_1) (-. (is_aligned T_0 T_1)) ### Axiom
% 42.28/42.47 144. (-. (is_aligned T_0 T_2)) (is_aligned T_0 T_2) ### Axiom
% 42.28/42.47 145. ((is_aligned T_0 T_1) <=> (is_aligned T_0 T_2)) (-. (is_aligned T_0 T_2)) (is_aligned T_0 T_1) ### Equiv 143 144
% 42.28/42.47 146. (-. (-. ((is_aligned T_0 T_1) <=> (is_aligned T_0 T_2)))) (is_aligned T_0 T_1) (-. (is_aligned T_0 T_2)) ### NotNot 145
% 42.28/42.47 147. (-. ((organization T_0) /\ (-. ((is_aligned T_0 T_1) <=> (is_aligned T_0 T_2))))) (-. (is_aligned T_0 T_2)) (is_aligned T_0 T_1) (organization T_0) ### NotAnd 142 146
% 42.28/42.47 148. (-. (dissimilar T_0 T_1 T_2)) (organization T_0) (is_aligned T_0 T_1) (-. (is_aligned T_0 T_2)) ### Definition-Pseudo(dissimilar) 147
% 42.28/42.47 149. (-. (greater (age T_0 T_2) (sigma))) (greater (age T_0 T_2) (sigma)) ### Axiom
% 42.28/42.47 150. ((greater (age T_0 T_2) (sigma)) <=> (dissimilar T_0 T_1 T_2)) (-. (greater (age T_0 T_2) (sigma))) (-. (is_aligned T_0 T_2)) (is_aligned T_0 T_1) (organization T_0) ### Equiv 148 149
% 42.28/42.47 151. (((organization T_0) /\ ((age T_0 T_1) = (zero))) => ((greater (age T_0 T_2) (sigma)) <=> (dissimilar T_0 T_1 T_2))) (is_aligned T_0 T_1) (-. (is_aligned T_0 T_2)) (-. (greater (age T_0 T_2) (sigma))) ((age T_0 T_1) = (zero)) (organization T_0) ### DisjTree 140 141 150
% 42.28/42.47 152. (All T, (((organization T_0) /\ ((age T_0 T_1) = (zero))) => ((greater (age T_0 T) (sigma)) <=> (dissimilar T_0 T_1 T)))) (organization T_0) ((age T_0 T_1) = (zero)) (-. (greater (age T_0 T_2) (sigma))) (-. (is_aligned T_0 T_2)) (is_aligned T_0 T_1) ### All 151
% 42.28/42.47 153. (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_1) (-. (is_aligned T_0 T_2)) (-. (greater (age T_0 T_2) (sigma))) ((age T_0 T_1) = (zero)) (organization T_0) ### All 152
% 42.28/42.47 154. (-. (positional_advantage T_0 T_2)) (positional_advantage T_0 T_2) ### Axiom
% 42.28/42.47 155. (organization T_0) (-. (organization T_0)) ### Axiom
% 42.28/42.47 156. ((age T_0 T_1) = (zero)) ((age T_0 T_1) != (zero)) ### Axiom
% 42.28/42.47 157. (organization T_0) (-. (organization T_0)) ### Axiom
% 42.28/42.47 158. (is_aligned T_0 T_1) (-. (is_aligned T_0 T_1)) ### Axiom
% 42.28/42.47 159. ((hazard_of_mortality T_0 T_2) != (hazard_of_mortality T_0 T_2)) ### Refl(=)
% 42.28/42.47 160. ((hazard_of_mortality T_0 T_2) != (hazard_of_mortality T_0 T_2)) ### Refl(=)
% 42.28/42.47 161. ((hazard_of_mortality T_0 T_1) = (mod2)) ((mod2) != (hazard_of_mortality T_0 T_1)) ### Sym(=)
% 42.28/42.47 162. ((hazard_of_mortality T_0 T_2) != (hazard_of_mortality T_0 T_1)) ((hazard_of_mortality T_0 T_2) = (mod2)) ((hazard_of_mortality T_0 T_1) = (mod2)) ### TransEq 159 160 161
% 42.28/42.47 163. (((is_aligned T_0 T_1) /\ (-. (positional_advantage T_0 T_1))) => ((hazard_of_mortality T_0 T_1) = (mod2))) ((hazard_of_mortality T_0 T_2) = (mod2)) ((hazard_of_mortality T_0 T_2) != (hazard_of_mortality T_0 T_1)) ((age T_0 T_1) = (zero)) (greater (tau) (zero)) (All T, (((smaller_or_equal (age T_0 T) (tau)) => (-. (positional_advantage T_0 T))) /\ ((greater (age T_0 T) (tau)) => (positional_advantage T_0 T)))) (is_aligned T_0 T_1) ### DisjTree 158 22 162
% 42.28/42.47 164. ((((is_aligned T_0 T_1) /\ (positional_advantage T_0 T_1)) => ((hazard_of_mortality T_0 T_1) = (low))) /\ ((((-. (is_aligned T_0 T_1)) /\ (positional_advantage T_0 T_1)) => ((hazard_of_mortality T_0 T_1) = (mod1))) /\ ((((is_aligned T_0 T_1) /\ (-. (positional_advantage T_0 T_1))) => ((hazard_of_mortality T_0 T_1) = (mod2))) /\ (((-. (is_aligned T_0 T_1)) /\ (-. (positional_advantage T_0 T_1))) => ((hazard_of_mortality T_0 T_1) = (high)))))) (is_aligned T_0 T_1) (All T, (((smaller_or_equal (age T_0 T) (tau)) => (-. (positional_advantage T_0 T))) /\ ((greater (age T_0 T) (tau)) => (positional_advantage T_0 T)))) (greater (tau) (zero)) ((age T_0 T_1) = (zero)) ((hazard_of_mortality T_0 T_2) != (hazard_of_mortality T_0 T_1)) ((hazard_of_mortality T_0 T_2) = (mod2)) ### ConjTree 163
% 42.28/42.47 165. ((-. (has_immunity T_0 T_1)) => ((((is_aligned T_0 T_1) /\ (positional_advantage T_0 T_1)) => ((hazard_of_mortality T_0 T_1) = (low))) /\ ((((-. (is_aligned T_0 T_1)) /\ (positional_advantage T_0 T_1)) => ((hazard_of_mortality T_0 T_1) = (mod1))) /\ ((((is_aligned T_0 T_1) /\ (-. (positional_advantage T_0 T_1))) => ((hazard_of_mortality T_0 T_1) = (mod2))) /\ (((-. (is_aligned T_0 T_1)) /\ (-. (positional_advantage T_0 T_1))) => ((hazard_of_mortality T_0 T_1) = (high))))))) ((hazard_of_mortality T_0 T_2) = (mod2)) ((hazard_of_mortality T_0 T_2) != (hazard_of_mortality T_0 T_1)) ((age T_0 T_1) = (zero)) (greater (tau) (zero)) (All T, (((smaller_or_equal (age T_0 T) (tau)) => (-. (positional_advantage T_0 T))) /\ ((greater (age T_0 T) (tau)) => (positional_advantage T_0 T)))) (is_aligned T_0 T_1) (All X, (All T, (((organization X) /\ (-. (has_endowment X))) => (-. (has_immunity X T))))) (-. (has_endowment T_0)) (organization T_0) ### Imply 12 164
% 42.28/42.47 166. (((has_immunity T_0 T_1) => ((hazard_of_mortality T_0 T_1) = (very_low))) /\ ((-. (has_immunity T_0 T_1)) => ((((is_aligned T_0 T_1) /\ (positional_advantage T_0 T_1)) => ((hazard_of_mortality T_0 T_1) = (low))) /\ ((((-. (is_aligned T_0 T_1)) /\ (positional_advantage T_0 T_1)) => ((hazard_of_mortality T_0 T_1) = (mod1))) /\ ((((is_aligned T_0 T_1) /\ (-. (positional_advantage T_0 T_1))) => ((hazard_of_mortality T_0 T_1) = (mod2))) /\ (((-. (is_aligned T_0 T_1)) /\ (-. (positional_advantage T_0 T_1))) => ((hazard_of_mortality T_0 T_1) = (high)))))))) (organization T_0) (-. (has_endowment T_0)) (All X, (All T, (((organization X) /\ (-. (has_endowment X))) => (-. (has_immunity X T))))) (is_aligned T_0 T_1) (All T, (((smaller_or_equal (age T_0 T) (tau)) => (-. (positional_advantage T_0 T))) /\ ((greater (age T_0 T) (tau)) => (positional_advantage T_0 T)))) (greater (tau) (zero)) ((age T_0 T_1) = (zero)) ((hazard_of_mortality T_0 T_2) != (hazard_of_mortality T_0 T_1)) ((hazard_of_mortality T_0 T_2) = (mod2)) ### And 165
% 42.28/42.47 167. ((organization T_0) => (((has_immunity T_0 T_1) => ((hazard_of_mortality T_0 T_1) = (very_low))) /\ ((-. (has_immunity T_0 T_1)) => ((((is_aligned T_0 T_1) /\ (positional_advantage T_0 T_1)) => ((hazard_of_mortality T_0 T_1) = (low))) /\ ((((-. (is_aligned T_0 T_1)) /\ (positional_advantage T_0 T_1)) => ((hazard_of_mortality T_0 T_1) = (mod1))) /\ ((((is_aligned T_0 T_1) /\ (-. (positional_advantage T_0 T_1))) => ((hazard_of_mortality T_0 T_1) = (mod2))) /\ (((-. (is_aligned T_0 T_1)) /\ (-. (positional_advantage T_0 T_1))) => ((hazard_of_mortality T_0 T_1) = (high))))))))) ((hazard_of_mortality T_0 T_2) = (mod2)) ((hazard_of_mortality T_0 T_2) != (hazard_of_mortality T_0 T_1)) ((age T_0 T_1) = (zero)) (greater (tau) (zero)) (All T, (((smaller_or_equal (age T_0 T) (tau)) => (-. (positional_advantage T_0 T))) /\ ((greater (age T_0 T) (tau)) => (positional_advantage T_0 T)))) (is_aligned T_0 T_1) (All X, (All T, (((organization X) /\ (-. (has_endowment X))) => (-. (has_immunity X T))))) (-. (has_endowment T_0)) (organization T_0) ### Imply 157 166
% 42.28/42.51 168. (All T, ((organization T_0) => (((has_immunity T_0 T) => ((hazard_of_mortality T_0 T) = (very_low))) /\ ((-. (has_immunity T_0 T)) => ((((is_aligned T_0 T) /\ (positional_advantage T_0 T)) => ((hazard_of_mortality T_0 T) = (low))) /\ ((((-. (is_aligned T_0 T)) /\ (positional_advantage T_0 T)) => ((hazard_of_mortality T_0 T) = (mod1))) /\ ((((is_aligned T_0 T) /\ (-. (positional_advantage T_0 T))) => ((hazard_of_mortality T_0 T) = (mod2))) /\ (((-. (is_aligned T_0 T)) /\ (-. (positional_advantage T_0 T))) => ((hazard_of_mortality T_0 T) = (high)))))))))) (organization T_0) (-. (has_endowment T_0)) (All X, (All T, (((organization X) /\ (-. (has_endowment X))) => (-. (has_immunity X T))))) (is_aligned T_0 T_1) (All T, (((smaller_or_equal (age T_0 T) (tau)) => (-. (positional_advantage T_0 T))) /\ ((greater (age T_0 T) (tau)) => (positional_advantage T_0 T)))) (greater (tau) (zero)) ((age T_0 T_1) = (zero)) ((hazard_of_mortality T_0 T_2) != (hazard_of_mortality T_0 T_1)) ((hazard_of_mortality T_0 T_2) = (mod2)) ### All 167
% 42.28/42.51 169. (((organization T_0) /\ ((age T_0 T_1) = (zero))) => (is_aligned T_0 T_1)) ((hazard_of_mortality T_0 T_2) = (mod2)) ((hazard_of_mortality T_0 T_2) != (hazard_of_mortality T_0 T_1)) (greater (tau) (zero)) (All T, (((smaller_or_equal (age T_0 T) (tau)) => (-. (positional_advantage T_0 T))) /\ ((greater (age T_0 T) (tau)) => (positional_advantage T_0 T)))) (All X, (All T, (((organization X) /\ (-. (has_endowment X))) => (-. (has_immunity X T))))) (-. (has_endowment T_0)) (All T, ((organization T_0) => (((has_immunity T_0 T) => ((hazard_of_mortality T_0 T) = (very_low))) /\ ((-. (has_immunity T_0 T)) => ((((is_aligned T_0 T) /\ (positional_advantage T_0 T)) => ((hazard_of_mortality T_0 T) = (low))) /\ ((((-. (is_aligned T_0 T)) /\ (positional_advantage T_0 T)) => ((hazard_of_mortality T_0 T) = (mod1))) /\ ((((is_aligned T_0 T) /\ (-. (positional_advantage T_0 T))) => ((hazard_of_mortality T_0 T) = (mod2))) /\ (((-. (is_aligned T_0 T)) /\ (-. (positional_advantage T_0 T))) => ((hazard_of_mortality T_0 T) = (high)))))))))) ((age T_0 T_1) = (zero)) (organization T_0) ### DisjTree 155 156 168
% 42.28/42.51 170. (All T, (((organization T_0) /\ ((age T_0 T) = (zero))) => (is_aligned T_0 T))) (organization T_0) ((age T_0 T_1) = (zero)) (All T, ((organization T_0) => (((has_immunity T_0 T) => ((hazard_of_mortality T_0 T) = (very_low))) /\ ((-. (has_immunity T_0 T)) => ((((is_aligned T_0 T) /\ (positional_advantage T_0 T)) => ((hazard_of_mortality T_0 T) = (low))) /\ ((((-. (is_aligned T_0 T)) /\ (positional_advantage T_0 T)) => ((hazard_of_mortality T_0 T) = (mod1))) /\ ((((is_aligned T_0 T) /\ (-. (positional_advantage T_0 T))) => ((hazard_of_mortality T_0 T) = (mod2))) /\ (((-. (is_aligned T_0 T)) /\ (-. (positional_advantage T_0 T))) => ((hazard_of_mortality T_0 T) = (high)))))))))) (-. (has_endowment T_0)) (All X, (All T, (((organization X) /\ (-. (has_endowment X))) => (-. (has_immunity X T))))) (All T, (((smaller_or_equal (age T_0 T) (tau)) => (-. (positional_advantage T_0 T))) /\ ((greater (age T_0 T) (tau)) => (positional_advantage T_0 T)))) (greater (tau) (zero)) ((hazard_of_mortality T_0 T_2) != (hazard_of_mortality T_0 T_1)) ((hazard_of_mortality T_0 T_2) = (mod2)) ### All 169
% 42.28/42.51 171. (((is_aligned T_0 T_2) /\ (-. (positional_advantage T_0 T_2))) => ((hazard_of_mortality T_0 T_2) = (mod2))) ((hazard_of_mortality T_0 T_2) != (hazard_of_mortality T_0 T_1)) (greater (tau) (zero)) (All T, (((smaller_or_equal (age T_0 T) (tau)) => (-. (positional_advantage T_0 T))) /\ ((greater (age T_0 T) (tau)) => (positional_advantage T_0 T)))) (All X, (All T, (((organization X) /\ (-. (has_endowment X))) => (-. (has_immunity X T))))) (-. (has_endowment T_0)) (All T, ((organization T_0) => (((has_immunity T_0 T) => ((hazard_of_mortality T_0 T) = (very_low))) /\ ((-. (has_immunity T_0 T)) => ((((is_aligned T_0 T) /\ (positional_advantage T_0 T)) => ((hazard_of_mortality T_0 T) = (low))) /\ ((((-. (is_aligned T_0 T)) /\ (positional_advantage T_0 T)) => ((hazard_of_mortality T_0 T) = (mod1))) /\ ((((is_aligned T_0 T) /\ (-. (positional_advantage T_0 T))) => ((hazard_of_mortality T_0 T) = (mod2))) /\ (((-. (is_aligned T_0 T)) /\ (-. (positional_advantage T_0 T))) => ((hazard_of_mortality T_0 T) = (high)))))))))) (All T, (((organization T_0) /\ ((age T_0 T) = (zero))) => (is_aligned T_0 T))) (-. (positional_advantage T_0 T_2)) (organization T_0) ((age T_0 T_1) = (zero)) (-. (greater (age T_0 T_2) (sigma))) (is_aligned 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))))) ### DisjTree 153 154 170
% 42.28/42.51 172. ((((is_aligned T_0 T_2) /\ (positional_advantage T_0 T_2)) => ((hazard_of_mortality T_0 T_2) = (low))) /\ ((((-. (is_aligned T_0 T_2)) /\ (positional_advantage T_0 T_2)) => ((hazard_of_mortality T_0 T_2) = (mod1))) /\ ((((is_aligned T_0 T_2) /\ (-. (positional_advantage T_0 T_2))) => ((hazard_of_mortality T_0 T_2) = (mod2))) /\ (((-. (is_aligned T_0 T_2)) /\ (-. (positional_advantage T_0 T_2))) => ((hazard_of_mortality T_0 T_2) = (high)))))) (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_1) (-. (greater (age T_0 T_2) (sigma))) ((age T_0 T_1) = (zero)) (organization T_0) (-. (positional_advantage T_0 T_2)) (All T, (((organization T_0) /\ ((age T_0 T) = (zero))) => (is_aligned T_0 T))) (All T, ((organization T_0) => (((has_immunity T_0 T) => ((hazard_of_mortality T_0 T) = (very_low))) /\ ((-. (has_immunity T_0 T)) => ((((is_aligned T_0 T) /\ (positional_advantage T_0 T)) => ((hazard_of_mortality T_0 T) = (low))) /\ ((((-. (is_aligned T_0 T)) /\ (positional_advantage T_0 T)) => ((hazard_of_mortality T_0 T) = (mod1))) /\ ((((is_aligned T_0 T) /\ (-. (positional_advantage T_0 T))) => ((hazard_of_mortality T_0 T) = (mod2))) /\ (((-. (is_aligned T_0 T)) /\ (-. (positional_advantage T_0 T))) => ((hazard_of_mortality T_0 T) = (high)))))))))) (-. (has_endowment T_0)) (All X, (All T, (((organization X) /\ (-. (has_endowment X))) => (-. (has_immunity X T))))) (All T, (((smaller_or_equal (age T_0 T) (tau)) => (-. (positional_advantage T_0 T))) /\ ((greater (age T_0 T) (tau)) => (positional_advantage T_0 T)))) (greater (tau) (zero)) ((hazard_of_mortality T_0 T_2) != (hazard_of_mortality T_0 T_1)) ### ConjTree 171
% 42.28/42.51 173. ((-. (has_immunity T_0 T_2)) => ((((is_aligned T_0 T_2) /\ (positional_advantage T_0 T_2)) => ((hazard_of_mortality T_0 T_2) = (low))) /\ ((((-. (is_aligned T_0 T_2)) /\ (positional_advantage T_0 T_2)) => ((hazard_of_mortality T_0 T_2) = (mod1))) /\ ((((is_aligned T_0 T_2) /\ (-. (positional_advantage T_0 T_2))) => ((hazard_of_mortality T_0 T_2) = (mod2))) /\ (((-. (is_aligned T_0 T_2)) /\ (-. (positional_advantage T_0 T_2))) => ((hazard_of_mortality T_0 T_2) = (high))))))) ((hazard_of_mortality T_0 T_2) != (hazard_of_mortality T_0 T_1)) (greater (tau) (zero)) (All T, (((smaller_or_equal (age T_0 T) (tau)) => (-. (positional_advantage T_0 T))) /\ ((greater (age T_0 T) (tau)) => (positional_advantage T_0 T)))) (All T, ((organization T_0) => (((has_immunity T_0 T) => ((hazard_of_mortality T_0 T) = (very_low))) /\ ((-. (has_immunity T_0 T)) => ((((is_aligned T_0 T) /\ (positional_advantage T_0 T)) => ((hazard_of_mortality T_0 T) = (low))) /\ ((((-. (is_aligned T_0 T)) /\ (positional_advantage T_0 T)) => ((hazard_of_mortality T_0 T) = (mod1))) /\ ((((is_aligned T_0 T) /\ (-. (positional_advantage T_0 T))) => ((hazard_of_mortality T_0 T) = (mod2))) /\ (((-. (is_aligned T_0 T)) /\ (-. (positional_advantage T_0 T))) => ((hazard_of_mortality T_0 T) = (high)))))))))) (All T, (((organization T_0) /\ ((age T_0 T) = (zero))) => (is_aligned T_0 T))) (-. (positional_advantage T_0 T_2)) ((age T_0 T_1) = (zero)) (-. (greater (age T_0 T_2) (sigma))) (is_aligned 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))))) (All X, (All T, (((organization X) /\ (-. (has_endowment X))) => (-. (has_immunity X T))))) (-. (has_endowment T_0)) (organization T_0) ### Imply 45 172
% 42.37/42.53 174. (((has_immunity T_0 T_2) => ((hazard_of_mortality T_0 T_2) = (very_low))) /\ ((-. (has_immunity T_0 T_2)) => ((((is_aligned T_0 T_2) /\ (positional_advantage T_0 T_2)) => ((hazard_of_mortality T_0 T_2) = (low))) /\ ((((-. (is_aligned T_0 T_2)) /\ (positional_advantage T_0 T_2)) => ((hazard_of_mortality T_0 T_2) = (mod1))) /\ ((((is_aligned T_0 T_2) /\ (-. (positional_advantage T_0 T_2))) => ((hazard_of_mortality T_0 T_2) = (mod2))) /\ (((-. (is_aligned T_0 T_2)) /\ (-. (positional_advantage T_0 T_2))) => ((hazard_of_mortality T_0 T_2) = (high)))))))) (organization T_0) (-. (has_endowment T_0)) (All X, (All T, (((organization X) /\ (-. (has_endowment X))) => (-. (has_immunity 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_1) (-. (greater (age T_0 T_2) (sigma))) ((age T_0 T_1) = (zero)) (-. (positional_advantage T_0 T_2)) (All T, (((organization T_0) /\ ((age T_0 T) = (zero))) => (is_aligned T_0 T))) (All T, ((organization T_0) => (((has_immunity T_0 T) => ((hazard_of_mortality T_0 T) = (very_low))) /\ ((-. (has_immunity T_0 T)) => ((((is_aligned T_0 T) /\ (positional_advantage T_0 T)) => ((hazard_of_mortality T_0 T) = (low))) /\ ((((-. (is_aligned T_0 T)) /\ (positional_advantage T_0 T)) => ((hazard_of_mortality T_0 T) = (mod1))) /\ ((((is_aligned T_0 T) /\ (-. (positional_advantage T_0 T))) => ((hazard_of_mortality T_0 T) = (mod2))) /\ (((-. (is_aligned T_0 T)) /\ (-. (positional_advantage T_0 T))) => ((hazard_of_mortality T_0 T) = (high)))))))))) (All T, (((smaller_or_equal (age T_0 T) (tau)) => (-. (positional_advantage T_0 T))) /\ ((greater (age T_0 T) (tau)) => (positional_advantage T_0 T)))) (greater (tau) (zero)) ((hazard_of_mortality T_0 T_2) != (hazard_of_mortality T_0 T_1)) ### And 173
% 42.37/42.53 175. ((organization T_0) => (((has_immunity T_0 T_2) => ((hazard_of_mortality T_0 T_2) = (very_low))) /\ ((-. (has_immunity T_0 T_2)) => ((((is_aligned T_0 T_2) /\ (positional_advantage T_0 T_2)) => ((hazard_of_mortality T_0 T_2) = (low))) /\ ((((-. (is_aligned T_0 T_2)) /\ (positional_advantage T_0 T_2)) => ((hazard_of_mortality T_0 T_2) = (mod1))) /\ ((((is_aligned T_0 T_2) /\ (-. (positional_advantage T_0 T_2))) => ((hazard_of_mortality T_0 T_2) = (mod2))) /\ (((-. (is_aligned T_0 T_2)) /\ (-. (positional_advantage T_0 T_2))) => ((hazard_of_mortality T_0 T_2) = (high))))))))) ((hazard_of_mortality T_0 T_2) != (hazard_of_mortality T_0 T_1)) (greater (tau) (zero)) (All T, (((smaller_or_equal (age T_0 T) (tau)) => (-. (positional_advantage T_0 T))) /\ ((greater (age T_0 T) (tau)) => (positional_advantage T_0 T)))) (All T, ((organization T_0) => (((has_immunity T_0 T) => ((hazard_of_mortality T_0 T) = (very_low))) /\ ((-. (has_immunity T_0 T)) => ((((is_aligned T_0 T) /\ (positional_advantage T_0 T)) => ((hazard_of_mortality T_0 T) = (low))) /\ ((((-. (is_aligned T_0 T)) /\ (positional_advantage T_0 T)) => ((hazard_of_mortality T_0 T) = (mod1))) /\ ((((is_aligned T_0 T) /\ (-. (positional_advantage T_0 T))) => ((hazard_of_mortality T_0 T) = (mod2))) /\ (((-. (is_aligned T_0 T)) /\ (-. (positional_advantage T_0 T))) => ((hazard_of_mortality T_0 T) = (high)))))))))) (All T, (((organization T_0) /\ ((age T_0 T) = (zero))) => (is_aligned T_0 T))) (-. (positional_advantage T_0 T_2)) ((age T_0 T_1) = (zero)) (-. (greater (age T_0 T_2) (sigma))) (is_aligned 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))))) (All X, (All T, (((organization X) /\ (-. (has_endowment X))) => (-. (has_immunity X T))))) (-. (has_endowment T_0)) (organization T_0) ### Imply 139 174
% 42.37/42.53 176. (organization T_0) (-. (has_endowment T_0)) (All X, (All T, (((organization X) /\ (-. (has_endowment X))) => (-. (has_immunity 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_1) (-. (greater (age T_0 T_2) (sigma))) ((age T_0 T_1) = (zero)) (-. (positional_advantage T_0 T_2)) (All T, (((organization T_0) /\ ((age T_0 T) = (zero))) => (is_aligned T_0 T))) (All T, ((organization T_0) => (((has_immunity T_0 T) => ((hazard_of_mortality T_0 T) = (very_low))) /\ ((-. (has_immunity T_0 T)) => ((((is_aligned T_0 T) /\ (positional_advantage T_0 T)) => ((hazard_of_mortality T_0 T) = (low))) /\ ((((-. (is_aligned T_0 T)) /\ (positional_advantage T_0 T)) => ((hazard_of_mortality T_0 T) = (mod1))) /\ ((((is_aligned T_0 T) /\ (-. (positional_advantage T_0 T))) => ((hazard_of_mortality T_0 T) = (mod2))) /\ (((-. (is_aligned T_0 T)) /\ (-. (positional_advantage T_0 T))) => ((hazard_of_mortality T_0 T) = (high)))))))))) (All T, (((smaller_or_equal (age T_0 T) (tau)) => (-. (positional_advantage T_0 T))) /\ ((greater (age T_0 T) (tau)) => (positional_advantage T_0 T)))) (greater (tau) (zero)) ((hazard_of_mortality T_0 T_2) != (hazard_of_mortality T_0 T_1)) ### All 175
% 42.37/42.53 177. ((smaller_or_equal (age T_0 T_2) (tau)) => (-. (positional_advantage T_0 T_2))) ((hazard_of_mortality T_0 T_2) != (hazard_of_mortality T_0 T_1)) (greater (tau) (zero)) (All T, (((smaller_or_equal (age T_0 T) (tau)) => (-. (positional_advantage T_0 T))) /\ ((greater (age T_0 T) (tau)) => (positional_advantage T_0 T)))) (All T, ((organization T_0) => (((has_immunity T_0 T) => ((hazard_of_mortality T_0 T) = (very_low))) /\ ((-. (has_immunity T_0 T)) => ((((is_aligned T_0 T) /\ (positional_advantage T_0 T)) => ((hazard_of_mortality T_0 T) = (low))) /\ ((((-. (is_aligned T_0 T)) /\ (positional_advantage T_0 T)) => ((hazard_of_mortality T_0 T) = (mod1))) /\ ((((is_aligned T_0 T) /\ (-. (positional_advantage T_0 T))) => ((hazard_of_mortality T_0 T) = (mod2))) /\ (((-. (is_aligned T_0 T)) /\ (-. (positional_advantage T_0 T))) => ((hazard_of_mortality T_0 T) = (high)))))))))) (All T, (((organization T_0) /\ ((age T_0 T) = (zero))) => (is_aligned T_0 T))) ((age T_0 T_1) = (zero)) (-. (greater (age T_0 T_2) (sigma))) (is_aligned 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))))) (All X, (All T, (((organization X) /\ (-. (has_endowment X))) => (-. (has_immunity X T))))) (-. (has_endowment T_0)) (organization T_0) (-. (greater (age T_0 T_2) (tau))) (All X, (All Y, ((smaller X Y) \/ ((X = Y) \/ (greater X Y))))) ### Imply 37 176
% 42.37/42.53 178. (((smaller_or_equal (age T_0 T_2) (tau)) => (-. (positional_advantage T_0 T_2))) /\ ((greater (age T_0 T_2) (tau)) => (positional_advantage T_0 T_2))) (All X, (All Y, ((smaller X Y) \/ ((X = Y) \/ (greater X Y))))) (-. (greater (age T_0 T_2) (tau))) (organization T_0) (-. (has_endowment T_0)) (All X, (All T, (((organization X) /\ (-. (has_endowment X))) => (-. (has_immunity 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_1) (-. (greater (age T_0 T_2) (sigma))) ((age T_0 T_1) = (zero)) (All T, (((organization T_0) /\ ((age T_0 T) = (zero))) => (is_aligned T_0 T))) (All T, ((organization T_0) => (((has_immunity T_0 T) => ((hazard_of_mortality T_0 T) = (very_low))) /\ ((-. (has_immunity T_0 T)) => ((((is_aligned T_0 T) /\ (positional_advantage T_0 T)) => ((hazard_of_mortality T_0 T) = (low))) /\ ((((-. (is_aligned T_0 T)) /\ (positional_advantage T_0 T)) => ((hazard_of_mortality T_0 T) = (mod1))) /\ ((((is_aligned T_0 T) /\ (-. (positional_advantage T_0 T))) => ((hazard_of_mortality T_0 T) = (mod2))) /\ (((-. (is_aligned T_0 T)) /\ (-. (positional_advantage T_0 T))) => ((hazard_of_mortality T_0 T) = (high)))))))))) (All T, (((smaller_or_equal (age T_0 T) (tau)) => (-. (positional_advantage T_0 T))) /\ ((greater (age T_0 T) (tau)) => (positional_advantage T_0 T)))) (greater (tau) (zero)) ((hazard_of_mortality T_0 T_2) != (hazard_of_mortality T_0 T_1)) ### And 177
% 42.37/42.55 179. ((hazard_of_mortality T_0 T_2) != (hazard_of_mortality T_0 T_1)) (greater (tau) (zero)) (All T, (((smaller_or_equal (age T_0 T) (tau)) => (-. (positional_advantage T_0 T))) /\ ((greater (age T_0 T) (tau)) => (positional_advantage T_0 T)))) (All T, ((organization T_0) => (((has_immunity T_0 T) => ((hazard_of_mortality T_0 T) = (very_low))) /\ ((-. (has_immunity T_0 T)) => ((((is_aligned T_0 T) /\ (positional_advantage T_0 T)) => ((hazard_of_mortality T_0 T) = (low))) /\ ((((-. (is_aligned T_0 T)) /\ (positional_advantage T_0 T)) => ((hazard_of_mortality T_0 T) = (mod1))) /\ ((((is_aligned T_0 T) /\ (-. (positional_advantage T_0 T))) => ((hazard_of_mortality T_0 T) = (mod2))) /\ (((-. (is_aligned T_0 T)) /\ (-. (positional_advantage T_0 T))) => ((hazard_of_mortality T_0 T) = (high)))))))))) (All T, (((organization T_0) /\ ((age T_0 T) = (zero))) => (is_aligned T_0 T))) ((age T_0 T_1) = (zero)) (-. (greater (age T_0 T_2) (sigma))) (is_aligned 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))))) (All X, (All T, (((organization X) /\ (-. (has_endowment X))) => (-. (has_immunity X T))))) (-. (has_endowment T_0)) (organization T_0) (-. (greater (age T_0 T_2) (tau))) (All X, (All Y, ((smaller X Y) \/ ((X = Y) \/ (greater X Y))))) ### All 178
% 42.37/42.55 180. (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, ((smaller X Y) \/ ((X = Y) \/ (greater X Y))))) (-. (greater (age T_0 T_2) (tau))) (organization T_0) (-. (has_endowment T_0)) (All X, (All T, (((organization X) /\ (-. (has_endowment X))) => (-. (has_immunity X T))))) (is_aligned T_0 T_1) (-. (greater (age T_0 T_2) (sigma))) ((age T_0 T_1) = (zero)) (All T, (((organization T_0) /\ ((age T_0 T) = (zero))) => (is_aligned T_0 T))) (All T, ((organization T_0) => (((has_immunity T_0 T) => ((hazard_of_mortality T_0 T) = (very_low))) /\ ((-. (has_immunity T_0 T)) => ((((is_aligned T_0 T) /\ (positional_advantage T_0 T)) => ((hazard_of_mortality T_0 T) = (low))) /\ ((((-. (is_aligned T_0 T)) /\ (positional_advantage T_0 T)) => ((hazard_of_mortality T_0 T) = (mod1))) /\ ((((is_aligned T_0 T) /\ (-. (positional_advantage T_0 T))) => ((hazard_of_mortality T_0 T) = (mod2))) /\ (((-. (is_aligned T_0 T)) /\ (-. (positional_advantage T_0 T))) => ((hazard_of_mortality T_0 T) = (high)))))))))) (All T, (((smaller_or_equal (age T_0 T) (tau)) => (-. (positional_advantage T_0 T))) /\ ((greater (age T_0 T) (tau)) => (positional_advantage T_0 T)))) (greater (tau) (zero)) ((hazard_of_mortality T_0 T_2) != (hazard_of_mortality T_0 T_1)) ### All 179
% 42.37/42.55 181. (All X, (All T, ((organization X) => (((has_immunity X T) => ((hazard_of_mortality X T) = (very_low))) /\ ((-. (has_immunity X T)) => ((((is_aligned X T) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (low))) /\ ((((-. (is_aligned X T)) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (mod1))) /\ ((((is_aligned X T) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (mod2))) /\ (((-. (is_aligned X T)) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (high))))))))))) ((hazard_of_mortality T_0 T_2) != (hazard_of_mortality T_0 T_1)) (greater (tau) (zero)) (All T, (((smaller_or_equal (age T_0 T) (tau)) => (-. (positional_advantage T_0 T))) /\ ((greater (age T_0 T) (tau)) => (positional_advantage T_0 T)))) (All T, (((organization T_0) /\ ((age T_0 T) = (zero))) => (is_aligned T_0 T))) ((age T_0 T_1) = (zero)) (-. (greater (age T_0 T_2) (sigma))) (is_aligned T_0 T_1) (All X, (All T, (((organization X) /\ (-. (has_endowment X))) => (-. (has_immunity X T))))) (-. (has_endowment T_0)) (organization T_0) (-. (greater (age T_0 T_2) (tau))) (All X, (All Y, ((smaller X Y) \/ ((X = Y) \/ (greater X Y))))) (All X, (All T0, (All T, (((organization X) /\ ((age X T0) = (zero))) => ((greater (age X T) (sigma)) <=> (dissimilar X T0 T)))))) ### All 180
% 42.37/42.55 182. (((organization T_0) /\ ((age T_0 T_1) = (zero))) => (is_aligned 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)))))) (All X, (All Y, ((smaller X Y) \/ ((X = Y) \/ (greater X Y))))) (-. (greater (age T_0 T_2) (tau))) (-. (has_endowment T_0)) (All X, (All T, (((organization X) /\ (-. (has_endowment X))) => (-. (has_immunity X T))))) (-. (greater (age T_0 T_2) (sigma))) (All T, (((organization T_0) /\ ((age T_0 T) = (zero))) => (is_aligned T_0 T))) (All T, (((smaller_or_equal (age T_0 T) (tau)) => (-. (positional_advantage T_0 T))) /\ ((greater (age T_0 T) (tau)) => (positional_advantage T_0 T)))) (greater (tau) (zero)) ((hazard_of_mortality T_0 T_2) != (hazard_of_mortality T_0 T_1)) (All X, (All T, ((organization X) => (((has_immunity X T) => ((hazard_of_mortality X T) = (very_low))) /\ ((-. (has_immunity X T)) => ((((is_aligned X T) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (low))) /\ ((((-. (is_aligned X T)) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (mod1))) /\ ((((is_aligned X T) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (mod2))) /\ (((-. (is_aligned X T)) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (high))))))))))) ((age T_0 T_1) = (zero)) (organization T_0) ### DisjTree 137 138 181
% 42.37/42.55 183. (organization T_0) ((age T_0 T_1) = (zero)) (All X, (All T, ((organization X) => (((has_immunity X T) => ((hazard_of_mortality X T) = (very_low))) /\ ((-. (has_immunity X T)) => ((((is_aligned X T) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (low))) /\ ((((-. (is_aligned X T)) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (mod1))) /\ ((((is_aligned X T) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (mod2))) /\ (((-. (is_aligned X T)) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (high))))))))))) ((hazard_of_mortality T_0 T_2) != (hazard_of_mortality T_0 T_1)) (greater (tau) (zero)) (All T, (((smaller_or_equal (age T_0 T) (tau)) => (-. (positional_advantage T_0 T))) /\ ((greater (age T_0 T) (tau)) => (positional_advantage T_0 T)))) (All T, (((organization T_0) /\ ((age T_0 T) = (zero))) => (is_aligned T_0 T))) (-. (greater (age T_0 T_2) (sigma))) (All X, (All T, (((organization X) /\ (-. (has_endowment X))) => (-. (has_immunity X T))))) (-. (has_endowment T_0)) (-. (greater (age T_0 T_2) (tau))) (All X, (All Y, ((smaller X Y) \/ ((X = Y) \/ (greater X Y))))) (All X, (All T0, (All T, (((organization X) /\ ((age X T0) = (zero))) => ((greater (age X T) (sigma)) <=> (dissimilar X T0 T)))))) ### All 182
% 42.37/42.55 184. (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, ((smaller X Y) \/ ((X = Y) \/ (greater X Y))))) (-. (greater (age T_0 T_2) (tau))) (-. (has_endowment T_0)) (All X, (All T, (((organization X) /\ (-. (has_endowment X))) => (-. (has_immunity X T))))) (-. (greater (age T_0 T_2) (sigma))) (All T, (((smaller_or_equal (age T_0 T) (tau)) => (-. (positional_advantage T_0 T))) /\ ((greater (age T_0 T) (tau)) => (positional_advantage T_0 T)))) (greater (tau) (zero)) ((hazard_of_mortality T_0 T_2) != (hazard_of_mortality T_0 T_1)) (All X, (All T, ((organization X) => (((has_immunity X T) => ((hazard_of_mortality X T) = (very_low))) /\ ((-. (has_immunity X T)) => ((((is_aligned X T) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (low))) /\ ((((-. (is_aligned X T)) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (mod1))) /\ ((((is_aligned X T) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (mod2))) /\ (((-. (is_aligned X T)) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (high))))))))))) ((age T_0 T_1) = (zero)) (organization T_0) ### All 183
% 42.37/42.55 185. ((sigma) = (tau)) (organization T_0) ((age T_0 T_1) = (zero)) (All X, (All T, ((organization X) => (((has_immunity X T) => ((hazard_of_mortality X T) = (very_low))) /\ ((-. (has_immunity X T)) => ((((is_aligned X T) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (low))) /\ ((((-. (is_aligned X T)) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (mod1))) /\ ((((is_aligned X T) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (mod2))) /\ (((-. (is_aligned X T)) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (high))))))))))) ((hazard_of_mortality T_0 T_2) != (hazard_of_mortality T_0 T_1)) (greater (tau) (zero)) (All T, (((smaller_or_equal (age T_0 T) (tau)) => (-. (positional_advantage T_0 T))) /\ ((greater (age T_0 T) (tau)) => (positional_advantage T_0 T)))) (All X, (All T, (((organization X) /\ (-. (has_endowment X))) => (-. (has_immunity X T))))) (-. (has_endowment T_0)) (-. (greater (age T_0 T_2) (tau))) (All X, (All Y, ((smaller X Y) \/ ((X = Y) \/ (greater X Y))))) (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)))) ### TransEq 184 184 1
% 42.37/42.55 186. (-. (greater (sigma) (tau))) (greater (sigma) (age 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, ((smaller X Y) \/ ((X = Y) \/ (greater X Y))))) (-. (has_endowment T_0)) (All X, (All T, (((organization X) /\ (-. (has_endowment X))) => (-. (has_immunity X T))))) (All T, (((smaller_or_equal (age T_0 T) (tau)) => (-. (positional_advantage T_0 T))) /\ ((greater (age T_0 T) (tau)) => (positional_advantage T_0 T)))) (greater (tau) (zero)) ((hazard_of_mortality T_0 T_2) != (hazard_of_mortality T_0 T_1)) (All X, (All T, ((organization X) => (((has_immunity X T) => ((hazard_of_mortality X T) = (very_low))) /\ ((-. (has_immunity X T)) => ((((is_aligned X T) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (low))) /\ ((((-. (is_aligned X T)) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (mod1))) /\ ((((is_aligned X T) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (mod2))) /\ (((-. (is_aligned X T)) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (high))))))))))) ((age T_0 T_1) = (zero)) (organization T_0) ((sigma) = (tau)) ### Trans 2 185
% 42.37/42.55 187. ((sigma) = (tau)) ((sigma) != (tau)) ### Axiom
% 42.37/42.55 188. (-. (greater (tau) (tau))) ((sigma) = (tau)) (organization T_0) ((age T_0 T_1) = (zero)) (All X, (All T, ((organization X) => (((has_immunity X T) => ((hazard_of_mortality X T) = (very_low))) /\ ((-. (has_immunity X T)) => ((((is_aligned X T) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (low))) /\ ((((-. (is_aligned X T)) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (mod1))) /\ ((((is_aligned X T) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (mod2))) /\ (((-. (is_aligned X T)) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (high))))))))))) ((hazard_of_mortality T_0 T_2) != (hazard_of_mortality T_0 T_1)) (greater (tau) (zero)) (All T, (((smaller_or_equal (age T_0 T) (tau)) => (-. (positional_advantage T_0 T))) /\ ((greater (age T_0 T) (tau)) => (positional_advantage T_0 T)))) (All X, (All T, (((organization X) /\ (-. (has_endowment X))) => (-. (has_immunity X T))))) (-. (has_endowment T_0)) (All X, (All Y, ((smaller X Y) \/ ((X = Y) \/ (greater X Y))))) (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)))) (greater (sigma) (age T_0 T_2)) ### TransEq2 1 186 187
% 42.37/42.55 189. ((sigma) = (tau)) (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, ((smaller X Y) \/ ((X = Y) \/ (greater X Y))))) (-. (has_endowment T_0)) (All X, (All T, (((organization X) /\ (-. (has_endowment X))) => (-. (has_immunity X T))))) (-. (greater (age T_0 T_2) (sigma))) (All T, (((organization T_0) /\ ((age T_0 T) = (zero))) => (is_aligned T_0 T))) (All T, (((smaller_or_equal (age T_0 T) (tau)) => (-. (positional_advantage T_0 T))) /\ ((greater (age T_0 T) (tau)) => (positional_advantage T_0 T)))) (greater (tau) (zero)) ((hazard_of_mortality T_0 T_2) != (hazard_of_mortality T_0 T_1)) (All X, (All T, ((organization X) => (((has_immunity X T) => ((hazard_of_mortality X T) = (very_low))) /\ ((-. (has_immunity X T)) => ((((is_aligned X T) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (low))) /\ ((((-. (is_aligned X T)) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (mod1))) /\ ((((is_aligned X T) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (mod2))) /\ (((-. (is_aligned X T)) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (high))))))))))) ((age T_0 T_1) = (zero)) (organization T_0) ### TransEq2 183 183 2
% 42.37/42.55 190. (-. (greater (sigma) (sigma))) (greater (sigma) (age T_0 T_2)) (organization T_0) ((age T_0 T_1) = (zero)) (All X, (All T, ((organization X) => (((has_immunity X T) => ((hazard_of_mortality X T) = (very_low))) /\ ((-. (has_immunity X T)) => ((((is_aligned X T) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (low))) /\ ((((-. (is_aligned X T)) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (mod1))) /\ ((((is_aligned X T) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (mod2))) /\ (((-. (is_aligned X T)) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (high))))))))))) ((hazard_of_mortality T_0 T_2) != (hazard_of_mortality T_0 T_1)) (greater (tau) (zero)) (All T, (((smaller_or_equal (age T_0 T) (tau)) => (-. (positional_advantage T_0 T))) /\ ((greater (age T_0 T) (tau)) => (positional_advantage T_0 T)))) (All T, (((organization T_0) /\ ((age T_0 T) = (zero))) => (is_aligned T_0 T))) (All X, (All T, (((organization X) /\ (-. (has_endowment X))) => (-. (has_immunity X T))))) (-. (has_endowment T_0)) (All X, (All Y, ((smaller X Y) \/ ((X = Y) \/ (greater X Y))))) (All X, (All T0, (All T, (((organization X) /\ ((age X T0) = (zero))) => ((greater (age X T) (sigma)) <=> (dissimilar X T0 T)))))) ((sigma) = (tau)) ### Trans 2 189
% 42.37/42.55 191. (-. (greater (tau) (sigma))) (All T, (((organization T_0) /\ ((age T_0 T) = (zero))) => (is_aligned T_0 T))) (greater (sigma) (age 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, ((smaller X Y) \/ ((X = Y) \/ (greater X Y))))) (-. (has_endowment T_0)) (All X, (All T, (((organization X) /\ (-. (has_endowment X))) => (-. (has_immunity X T))))) (All T, (((smaller_or_equal (age T_0 T) (tau)) => (-. (positional_advantage T_0 T))) /\ ((greater (age T_0 T) (tau)) => (positional_advantage T_0 T)))) (greater (tau) (zero)) ((hazard_of_mortality T_0 T_2) != (hazard_of_mortality T_0 T_1)) (All X, (All T, ((organization X) => (((has_immunity X T) => ((hazard_of_mortality X T) = (very_low))) /\ ((-. (has_immunity X T)) => ((((is_aligned X T) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (low))) /\ ((((-. (is_aligned X T)) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (mod1))) /\ ((((is_aligned X T) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (mod2))) /\ (((-. (is_aligned X T)) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (high))))))))))) ((age T_0 T_1) = (zero)) (organization T_0) ((sigma) = (tau)) ### TransEq2 1 188 190
% 42.37/42.55 192. (-. ((greater (sigma) (tau)) /\ (greater (tau) (sigma)))) (All T, (((organization T_0) /\ ((age T_0 T) = (zero))) => (is_aligned T_0 T))) ((sigma) = (tau)) (organization T_0) ((age T_0 T_1) = (zero)) (All X, (All T, ((organization X) => (((has_immunity X T) => ((hazard_of_mortality X T) = (very_low))) /\ ((-. (has_immunity X T)) => ((((is_aligned X T) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (low))) /\ ((((-. (is_aligned X T)) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (mod1))) /\ ((((is_aligned X T) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (mod2))) /\ (((-. (is_aligned X T)) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (high))))))))))) ((hazard_of_mortality T_0 T_2) != (hazard_of_mortality T_0 T_1)) (greater (tau) (zero)) (All T, (((smaller_or_equal (age T_0 T) (tau)) => (-. (positional_advantage T_0 T))) /\ ((greater (age T_0 T) (tau)) => (positional_advantage T_0 T)))) (All X, (All T, (((organization X) /\ (-. (has_endowment X))) => (-. (has_immunity X T))))) (-. (has_endowment T_0)) (All X, (All Y, ((smaller X Y) \/ ((X = Y) \/ (greater X Y))))) (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)))) (greater (sigma) (age T_0 T_2)) ### NotAnd 186 191
% 42.37/42.55 193. (All Y, (-. ((greater (sigma) Y) /\ (greater Y (sigma))))) (greater (sigma) (age 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, ((smaller X Y) \/ ((X = Y) \/ (greater X Y))))) (-. (has_endowment T_0)) (All X, (All T, (((organization X) /\ (-. (has_endowment X))) => (-. (has_immunity X T))))) (All T, (((smaller_or_equal (age T_0 T) (tau)) => (-. (positional_advantage T_0 T))) /\ ((greater (age T_0 T) (tau)) => (positional_advantage T_0 T)))) (greater (tau) (zero)) ((hazard_of_mortality T_0 T_2) != (hazard_of_mortality T_0 T_1)) (All X, (All T, ((organization X) => (((has_immunity X T) => ((hazard_of_mortality X T) = (very_low))) /\ ((-. (has_immunity X T)) => ((((is_aligned X T) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (low))) /\ ((((-. (is_aligned X T)) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (mod1))) /\ ((((is_aligned X T) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (mod2))) /\ (((-. (is_aligned X T)) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (high))))))))))) ((age T_0 T_1) = (zero)) (organization T_0) ((sigma) = (tau)) (All T, (((organization T_0) /\ ((age T_0 T) = (zero))) => (is_aligned T_0 T))) ### All 192
% 42.37/42.55 194. (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))) ((sigma) = (tau)) (organization T_0) ((age T_0 T_1) = (zero)) (All X, (All T, ((organization X) => (((has_immunity X T) => ((hazard_of_mortality X T) = (very_low))) /\ ((-. (has_immunity X T)) => ((((is_aligned X T) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (low))) /\ ((((-. (is_aligned X T)) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (mod1))) /\ ((((is_aligned X T) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (mod2))) /\ (((-. (is_aligned X T)) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (high))))))))))) ((hazard_of_mortality T_0 T_2) != (hazard_of_mortality T_0 T_1)) (greater (tau) (zero)) (All T, (((smaller_or_equal (age T_0 T) (tau)) => (-. (positional_advantage T_0 T))) /\ ((greater (age T_0 T) (tau)) => (positional_advantage T_0 T)))) (All X, (All T, (((organization X) /\ (-. (has_endowment X))) => (-. (has_immunity X T))))) (-. (has_endowment T_0)) (All X, (All Y, ((smaller X Y) \/ ((X = Y) \/ (greater X Y))))) (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)))) (greater (sigma) (age T_0 T_2)) ### All 193
% 42.37/42.55 195. (greater (sigma) (age 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, ((smaller X Y) \/ ((X = Y) \/ (greater X Y))))) (-. (has_endowment T_0)) (All X, (All T, (((organization X) /\ (-. (has_endowment X))) => (-. (has_immunity X T))))) (All T, (((smaller_or_equal (age T_0 T) (tau)) => (-. (positional_advantage T_0 T))) /\ ((greater (age T_0 T) (tau)) => (positional_advantage T_0 T)))) (greater (tau) (zero)) ((hazard_of_mortality T_0 T_2) != (hazard_of_mortality T_0 T_1)) (All X, (All T, ((organization X) => (((has_immunity X T) => ((hazard_of_mortality X T) = (very_low))) /\ ((-. (has_immunity X T)) => ((((is_aligned X T) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (low))) /\ ((((-. (is_aligned X T)) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (mod1))) /\ ((((is_aligned X T) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (mod2))) /\ (((-. (is_aligned X T)) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (high))))))))))) ((age T_0 T_1) = (zero)) (organization T_0) ((sigma) = (tau)) (All X, (All Y, (-. ((greater X Y) /\ (greater Y X))))) ### All 194
% 42.37/42.55 196. (-. ((smaller (hazard_of_mortality T_0 T_3) (hazard_of_mortality T_0 T_2)) /\ ((hazard_of_mortality T_0 T_2) = (hazard_of_mortality T_0 T_1)))) (greater (sigma) (age T_0 T_2)) (All X, (All T, ((organization X) => (((has_immunity X T) => ((hazard_of_mortality X T) = (very_low))) /\ ((-. (has_immunity X T)) => ((((is_aligned X T) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (low))) /\ ((((-. (is_aligned X T)) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (mod1))) /\ ((((is_aligned X T) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (mod2))) /\ (((-. (is_aligned X T)) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (high))))))))))) (All X, (All Y, ((smaller X Y) \/ ((X = Y) \/ (greater X Y))))) (All X, (All T, (((organization X) /\ ((age X T) = (zero))) => (is_aligned X T)))) ((sigma) = (tau)) (greater (age T_0 T_3) (sigma)) (All X, (All T0, (All T, (((organization X) /\ ((age X T0) = (zero))) => ((greater (age X T) (sigma)) <=> (dissimilar X T0 T)))))) (greater (mod2) (mod1)) (greater (tau) (zero)) (All T, (((smaller_or_equal (age T_0 T) (tau)) => (-. (positional_advantage T_0 T))) /\ ((greater (age T_0 T) (tau)) => (positional_advantage T_0 T)))) (All X, (All T, (((organization X) /\ (-. (has_endowment X))) => (-. (has_immunity X T))))) (-. (has_endowment T_0)) ((age T_0 T_1) = (zero)) (organization T_0) (All X, (All Y, (-. ((greater X Y) /\ (greater Y X))))) ### NotAnd 136 195
% 42.37/42.55 197. (smaller (age T_0 T_2) (sigma)) (All X, (All Y, (-. ((greater X Y) /\ (greater Y X))))) (organization T_0) ((age T_0 T_1) = (zero)) (-. (has_endowment T_0)) (All X, (All T, (((organization X) /\ (-. (has_endowment X))) => (-. (has_immunity X T))))) (All T, (((smaller_or_equal (age T_0 T) (tau)) => (-. (positional_advantage T_0 T))) /\ ((greater (age T_0 T) (tau)) => (positional_advantage T_0 T)))) (greater (tau) (zero)) (greater (mod2) (mod1)) (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_3) (sigma)) ((sigma) = (tau)) (All X, (All T, (((organization X) /\ ((age X T) = (zero))) => (is_aligned X T)))) (All X, (All Y, ((smaller X Y) \/ ((X = Y) \/ (greater X Y))))) (All X, (All T, ((organization X) => (((has_immunity X T) => ((hazard_of_mortality X T) = (very_low))) /\ ((-. (has_immunity X T)) => ((((is_aligned X T) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (low))) /\ ((((-. (is_aligned X T)) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (mod1))) /\ ((((is_aligned X T) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (mod2))) /\ (((-. (is_aligned X T)) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (high))))))))))) (-. ((smaller (hazard_of_mortality T_0 T_3) (hazard_of_mortality T_0 T_2)) /\ ((hazard_of_mortality T_0 T_2) = (hazard_of_mortality T_0 T_1)))) ### Definition-Pseudo(smaller) 196
% 42.37/42.57 198. ((age T_0 T_2) = (sigma)) ((age T_0 T_2) != (sigma)) ### Axiom
% 42.37/42.57 199. ((tau) != (age T_0 T_2)) ((sigma) = (tau)) ((age T_0 T_2) = (sigma)) ### Trans-sym 198 1
% 42.37/42.57 200. (organization T_0) (-. (organization T_0)) ### Axiom
% 42.37/42.57 201. ((age T_0 T_1) = (zero)) ((age T_0 T_1) != (zero)) ### Axiom
% 42.37/42.57 202. (organization T_0) (-. (organization T_0)) ### Axiom
% 42.37/42.57 203. (is_aligned T_0 T_1) (-. (is_aligned T_0 T_1)) ### Axiom
% 42.37/42.57 204. (organization T_0) (-. (organization T_0)) ### Axiom
% 42.37/42.57 205. ((age T_0 T_1) = (zero)) ((age T_0 T_1) != (zero)) ### Axiom
% 42.37/42.57 206. (organization T_0) (-. (organization T_0)) ### Axiom
% 42.37/42.57 207. (is_aligned T_0 T_1) (-. (is_aligned T_0 T_1)) ### Axiom
% 42.37/42.57 208. (-. (smaller_or_equal (age T_0 T_2) (tau))) (All X, (All Y, ((smaller X Y) \/ ((X = Y) \/ (greater X Y))))) (-. (greater (age T_0 T_2) (tau))) (-. (greater (tau) (age T_0 T_2))) ### Definition-Pseudo(smaller_or_equal) 34
% 42.37/42.57 209. ((smaller_or_equal (age T_0 T_2) (tau)) => (-. (positional_advantage T_0 T_2))) (organization T_0) (-. (has_endowment T_0)) (All X, (All T, (((organization X) /\ (-. (has_endowment X))) => (-. (has_immunity X T))))) (is_aligned T_0 T_2) ((hazard_of_mortality T_0 T_2) != (mod2)) (All X, (All T, ((organization X) => (((has_immunity X T) => ((hazard_of_mortality X T) = (very_low))) /\ ((-. (has_immunity X T)) => ((((is_aligned X T) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (low))) /\ ((((-. (is_aligned X T)) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (mod1))) /\ ((((is_aligned X T) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (mod2))) /\ (((-. (is_aligned X T)) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (high))))))))))) (-. (greater (tau) (age T_0 T_2))) (-. (greater (age T_0 T_2) (tau))) (All X, (All Y, ((smaller X Y) \/ ((X = Y) \/ (greater X Y))))) ### Imply 208 55
% 42.37/42.57 210. (((smaller_or_equal (age T_0 T_2) (tau)) => (-. (positional_advantage T_0 T_2))) /\ ((greater (age T_0 T_2) (tau)) => (positional_advantage T_0 T_2))) (All X, (All Y, ((smaller X Y) \/ ((X = Y) \/ (greater X Y))))) (-. (greater (age T_0 T_2) (tau))) (-. (greater (tau) (age T_0 T_2))) (All X, (All T, ((organization X) => (((has_immunity X T) => ((hazard_of_mortality X T) = (very_low))) /\ ((-. (has_immunity X T)) => ((((is_aligned X T) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (low))) /\ ((((-. (is_aligned X T)) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (mod1))) /\ ((((is_aligned X T) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (mod2))) /\ (((-. (is_aligned X T)) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (high))))))))))) ((hazard_of_mortality T_0 T_2) != (mod2)) (is_aligned T_0 T_2) (All X, (All T, (((organization X) /\ (-. (has_endowment X))) => (-. (has_immunity X T))))) (-. (has_endowment T_0)) (organization T_0) ### And 209
% 42.37/42.57 211. (All T, (((smaller_or_equal (age T_0 T) (tau)) => (-. (positional_advantage T_0 T))) /\ ((greater (age T_0 T) (tau)) => (positional_advantage T_0 T)))) (organization T_0) (-. (has_endowment T_0)) (All X, (All T, (((organization X) /\ (-. (has_endowment X))) => (-. (has_immunity X T))))) (is_aligned T_0 T_2) ((hazard_of_mortality T_0 T_2) != (mod2)) (All X, (All T, ((organization X) => (((has_immunity X T) => ((hazard_of_mortality X T) = (very_low))) /\ ((-. (has_immunity X T)) => ((((is_aligned X T) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (low))) /\ ((((-. (is_aligned X T)) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (mod1))) /\ ((((is_aligned X T) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (mod2))) /\ (((-. (is_aligned X T)) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (high))))))))))) (-. (greater (tau) (age T_0 T_2))) (-. (greater (age T_0 T_2) (tau))) (All X, (All Y, ((smaller X Y) \/ ((X = Y) \/ (greater X Y))))) ### All 210
% 42.37/42.57 212. ((is_aligned T_0 T_1) <=> (is_aligned T_0 T_2)) (All X, (All Y, ((smaller X Y) \/ ((X = Y) \/ (greater X Y))))) (-. (greater (age T_0 T_2) (tau))) (-. (greater (tau) (age T_0 T_2))) (All X, (All T, ((organization X) => (((has_immunity X T) => ((hazard_of_mortality X T) = (very_low))) /\ ((-. (has_immunity X T)) => ((((is_aligned X T) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (low))) /\ ((((-. (is_aligned X T)) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (mod1))) /\ ((((is_aligned X T) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (mod2))) /\ (((-. (is_aligned X T)) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (high))))))))))) ((hazard_of_mortality T_0 T_2) != (mod2)) (All X, (All T, (((organization X) /\ (-. (has_endowment X))) => (-. (has_immunity X T))))) (-. (has_endowment T_0)) (organization T_0) (All T, (((smaller_or_equal (age T_0 T) (tau)) => (-. (positional_advantage T_0 T))) /\ ((greater (age T_0 T) (tau)) => (positional_advantage T_0 T)))) (is_aligned T_0 T_1) ### Equiv 207 211
% 42.37/42.57 213. (-. (-. ((is_aligned T_0 T_1) <=> (is_aligned T_0 T_2)))) (is_aligned T_0 T_1) (All T, (((smaller_or_equal (age T_0 T) (tau)) => (-. (positional_advantage T_0 T))) /\ ((greater (age T_0 T) (tau)) => (positional_advantage T_0 T)))) (organization T_0) (-. (has_endowment T_0)) (All X, (All T, (((organization X) /\ (-. (has_endowment X))) => (-. (has_immunity X T))))) ((hazard_of_mortality T_0 T_2) != (mod2)) (All X, (All T, ((organization X) => (((has_immunity X T) => ((hazard_of_mortality X T) = (very_low))) /\ ((-. (has_immunity X T)) => ((((is_aligned X T) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (low))) /\ ((((-. (is_aligned X T)) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (mod1))) /\ ((((is_aligned X T) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (mod2))) /\ (((-. (is_aligned X T)) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (high))))))))))) (-. (greater (tau) (age T_0 T_2))) (-. (greater (age T_0 T_2) (tau))) (All X, (All Y, ((smaller X Y) \/ ((X = Y) \/ (greater X Y))))) ### NotNot 212
% 42.37/42.57 214. (-. ((organization T_0) /\ (-. ((is_aligned T_0 T_1) <=> (is_aligned T_0 T_2))))) (All X, (All Y, ((smaller X Y) \/ ((X = Y) \/ (greater X Y))))) (-. (greater (age T_0 T_2) (tau))) (-. (greater (tau) (age T_0 T_2))) (All X, (All T, ((organization X) => (((has_immunity X T) => ((hazard_of_mortality X T) = (very_low))) /\ ((-. (has_immunity X T)) => ((((is_aligned X T) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (low))) /\ ((((-. (is_aligned X T)) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (mod1))) /\ ((((is_aligned X T) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (mod2))) /\ (((-. (is_aligned X T)) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (high))))))))))) ((hazard_of_mortality T_0 T_2) != (mod2)) (All X, (All T, (((organization X) /\ (-. (has_endowment X))) => (-. (has_immunity X T))))) (-. (has_endowment T_0)) (All T, (((smaller_or_equal (age T_0 T) (tau)) => (-. (positional_advantage T_0 T))) /\ ((greater (age T_0 T) (tau)) => (positional_advantage T_0 T)))) (is_aligned T_0 T_1) (organization T_0) ### NotAnd 206 213
% 42.37/42.57 215. (-. (dissimilar T_0 T_1 T_2)) (organization T_0) (is_aligned T_0 T_1) (All T, (((smaller_or_equal (age T_0 T) (tau)) => (-. (positional_advantage T_0 T))) /\ ((greater (age T_0 T) (tau)) => (positional_advantage T_0 T)))) (-. (has_endowment T_0)) (All X, (All T, (((organization X) /\ (-. (has_endowment X))) => (-. (has_immunity X T))))) ((hazard_of_mortality T_0 T_2) != (mod2)) (All X, (All T, ((organization X) => (((has_immunity X T) => ((hazard_of_mortality X T) = (very_low))) /\ ((-. (has_immunity X T)) => ((((is_aligned X T) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (low))) /\ ((((-. (is_aligned X T)) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (mod1))) /\ ((((is_aligned X T) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (mod2))) /\ (((-. (is_aligned X T)) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (high))))))))))) (-. (greater (tau) (age T_0 T_2))) (-. (greater (age T_0 T_2) (tau))) (All X, (All Y, ((smaller X Y) \/ ((X = Y) \/ (greater X Y))))) ### Definition-Pseudo(dissimilar) 214
% 42.44/42.59 216. (-. (greater (age T_0 T_2) (sigma))) (greater (age T_0 T_2) (sigma)) ### Axiom
% 42.44/42.59 217. ((greater (age T_0 T_2) (sigma)) <=> (dissimilar T_0 T_1 T_2)) (-. (greater (age T_0 T_2) (sigma))) (All X, (All Y, ((smaller X Y) \/ ((X = Y) \/ (greater X Y))))) (-. (greater (age T_0 T_2) (tau))) (-. (greater (tau) (age T_0 T_2))) (All X, (All T, ((organization X) => (((has_immunity X T) => ((hazard_of_mortality X T) = (very_low))) /\ ((-. (has_immunity X T)) => ((((is_aligned X T) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (low))) /\ ((((-. (is_aligned X T)) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (mod1))) /\ ((((is_aligned X T) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (mod2))) /\ (((-. (is_aligned X T)) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (high))))))))))) ((hazard_of_mortality T_0 T_2) != (mod2)) (All X, (All T, (((organization X) /\ (-. (has_endowment X))) => (-. (has_immunity X T))))) (-. (has_endowment T_0)) (All T, (((smaller_or_equal (age T_0 T) (tau)) => (-. (positional_advantage T_0 T))) /\ ((greater (age T_0 T) (tau)) => (positional_advantage T_0 T)))) (is_aligned T_0 T_1) (organization T_0) ### Equiv 215 216
% 42.44/42.59 218. (((organization T_0) /\ ((age T_0 T_1) = (zero))) => ((greater (age T_0 T_2) (sigma)) <=> (dissimilar T_0 T_1 T_2))) (is_aligned T_0 T_1) (All T, (((smaller_or_equal (age T_0 T) (tau)) => (-. (positional_advantage T_0 T))) /\ ((greater (age T_0 T) (tau)) => (positional_advantage T_0 T)))) (-. (has_endowment T_0)) (All X, (All T, (((organization X) /\ (-. (has_endowment X))) => (-. (has_immunity X T))))) ((hazard_of_mortality T_0 T_2) != (mod2)) (All X, (All T, ((organization X) => (((has_immunity X T) => ((hazard_of_mortality X T) = (very_low))) /\ ((-. (has_immunity X T)) => ((((is_aligned X T) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (low))) /\ ((((-. (is_aligned X T)) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (mod1))) /\ ((((is_aligned X T) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (mod2))) /\ (((-. (is_aligned X T)) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (high))))))))))) (-. (greater (tau) (age T_0 T_2))) (-. (greater (age T_0 T_2) (tau))) (All X, (All Y, ((smaller X Y) \/ ((X = Y) \/ (greater X Y))))) (-. (greater (age T_0 T_2) (sigma))) ((age T_0 T_1) = (zero)) (organization T_0) ### DisjTree 204 205 217
% 42.44/42.59 219. (All T, (((organization T_0) /\ ((age T_0 T_1) = (zero))) => ((greater (age T_0 T) (sigma)) <=> (dissimilar T_0 T_1 T)))) (organization T_0) ((age T_0 T_1) = (zero)) (-. (greater (age T_0 T_2) (sigma))) (All X, (All Y, ((smaller X Y) \/ ((X = Y) \/ (greater X Y))))) (-. (greater (age T_0 T_2) (tau))) (-. (greater (tau) (age T_0 T_2))) (All X, (All T, ((organization X) => (((has_immunity X T) => ((hazard_of_mortality X T) = (very_low))) /\ ((-. (has_immunity X T)) => ((((is_aligned X T) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (low))) /\ ((((-. (is_aligned X T)) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (mod1))) /\ ((((is_aligned X T) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (mod2))) /\ (((-. (is_aligned X T)) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (high))))))))))) ((hazard_of_mortality T_0 T_2) != (mod2)) (All X, (All T, (((organization X) /\ (-. (has_endowment X))) => (-. (has_immunity X T))))) (-. (has_endowment T_0)) (All T, (((smaller_or_equal (age T_0 T) (tau)) => (-. (positional_advantage T_0 T))) /\ ((greater (age T_0 T) (tau)) => (positional_advantage T_0 T)))) (is_aligned T_0 T_1) ### All 218
% 42.44/42.59 220. (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_1) (All T, (((smaller_or_equal (age T_0 T) (tau)) => (-. (positional_advantage T_0 T))) /\ ((greater (age T_0 T) (tau)) => (positional_advantage T_0 T)))) (-. (has_endowment T_0)) (All X, (All T, (((organization X) /\ (-. (has_endowment X))) => (-. (has_immunity X T))))) ((hazard_of_mortality T_0 T_2) != (mod2)) (All X, (All T, ((organization X) => (((has_immunity X T) => ((hazard_of_mortality X T) = (very_low))) /\ ((-. (has_immunity X T)) => ((((is_aligned X T) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (low))) /\ ((((-. (is_aligned X T)) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (mod1))) /\ ((((is_aligned X T) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (mod2))) /\ (((-. (is_aligned X T)) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (high))))))))))) (-. (greater (tau) (age T_0 T_2))) (-. (greater (age T_0 T_2) (tau))) (All X, (All Y, ((smaller X Y) \/ ((X = Y) \/ (greater X Y))))) (-. (greater (age T_0 T_2) (sigma))) ((age T_0 T_1) = (zero)) (organization T_0) ### All 219
% 42.44/42.59 221. (-. (greater (hazard_of_mortality T_0 T_2) (hazard_of_mortality T_0 T_3))) (greater (mod2) (mod1)) (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_3) (sigma)) ((sigma) = (tau)) (All X, (All T, (((organization X) /\ ((age X T) = (zero))) => (is_aligned X T)))) ((hazard_of_mortality T_0 T_1) = (mod2)) (organization T_0) ((age T_0 T_1) = (zero)) (-. (greater (age T_0 T_2) (sigma))) (All X, (All Y, ((smaller X Y) \/ ((X = Y) \/ (greater X Y))))) (-. (greater (age T_0 T_2) (tau))) (-. (greater (tau) (age T_0 T_2))) (All X, (All T, ((organization X) => (((has_immunity X T) => ((hazard_of_mortality X T) = (very_low))) /\ ((-. (has_immunity X T)) => ((((is_aligned X T) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (low))) /\ ((((-. (is_aligned X T)) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (mod1))) /\ ((((is_aligned X T) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (mod2))) /\ (((-. (is_aligned X T)) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (high))))))))))) (All X, (All T, (((organization X) /\ (-. (has_endowment X))) => (-. (has_immunity X T))))) (-. (has_endowment T_0)) (All T, (((smaller_or_equal (age T_0 T) (tau)) => (-. (positional_advantage T_0 T))) /\ ((greater (age T_0 T) (tau)) => (positional_advantage T_0 T)))) (is_aligned 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))))) ### TransEq2 220 112 112
% 42.44/42.59 222. (((is_aligned T_0 T_1) /\ (-. (positional_advantage T_0 T_1))) => ((hazard_of_mortality T_0 T_1) = (mod2))) (All T0, (All T, (((organization T_0) /\ ((age T_0 T0) = (zero))) => ((greater (age T_0 T) (sigma)) <=> (dissimilar T_0 T0 T))))) (-. (has_endowment T_0)) (All X, (All T, (((organization X) /\ (-. (has_endowment X))) => (-. (has_immunity X T))))) (All X, (All T, ((organization X) => (((has_immunity X T) => ((hazard_of_mortality X T) = (very_low))) /\ ((-. (has_immunity X T)) => ((((is_aligned X T) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (low))) /\ ((((-. (is_aligned X T)) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (mod1))) /\ ((((is_aligned X T) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (mod2))) /\ (((-. (is_aligned X T)) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (high))))))))))) (-. (greater (tau) (age T_0 T_2))) (-. (greater (age T_0 T_2) (tau))) (All X, (All Y, ((smaller X Y) \/ ((X = Y) \/ (greater X Y))))) (-. (greater (age T_0 T_2) (sigma))) (organization T_0) (All X, (All T, (((organization X) /\ ((age X T) = (zero))) => (is_aligned X T)))) ((sigma) = (tau)) (greater (age T_0 T_3) (sigma)) (All X, (All T0, (All T, (((organization X) /\ ((age X T0) = (zero))) => ((greater (age X T) (sigma)) <=> (dissimilar X T0 T)))))) (greater (mod2) (mod1)) (-. (greater (hazard_of_mortality T_0 T_2) (hazard_of_mortality T_0 T_3))) ((age T_0 T_1) = (zero)) (greater (tau) (zero)) (All T, (((smaller_or_equal (age T_0 T) (tau)) => (-. (positional_advantage T_0 T))) /\ ((greater (age T_0 T) (tau)) => (positional_advantage T_0 T)))) (is_aligned T_0 T_1) ### DisjTree 203 22 221
% 42.44/42.60 223. ((((is_aligned T_0 T_1) /\ (positional_advantage T_0 T_1)) => ((hazard_of_mortality T_0 T_1) = (low))) /\ ((((-. (is_aligned T_0 T_1)) /\ (positional_advantage T_0 T_1)) => ((hazard_of_mortality T_0 T_1) = (mod1))) /\ ((((is_aligned T_0 T_1) /\ (-. (positional_advantage T_0 T_1))) => ((hazard_of_mortality T_0 T_1) = (mod2))) /\ (((-. (is_aligned T_0 T_1)) /\ (-. (positional_advantage T_0 T_1))) => ((hazard_of_mortality T_0 T_1) = (high)))))) (is_aligned T_0 T_1) (All T, (((smaller_or_equal (age T_0 T) (tau)) => (-. (positional_advantage T_0 T))) /\ ((greater (age T_0 T) (tau)) => (positional_advantage T_0 T)))) (greater (tau) (zero)) ((age T_0 T_1) = (zero)) (-. (greater (hazard_of_mortality T_0 T_2) (hazard_of_mortality T_0 T_3))) (greater (mod2) (mod1)) (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_3) (sigma)) ((sigma) = (tau)) (All X, (All T, (((organization X) /\ ((age X T) = (zero))) => (is_aligned X T)))) (organization T_0) (-. (greater (age T_0 T_2) (sigma))) (All X, (All Y, ((smaller X Y) \/ ((X = Y) \/ (greater X Y))))) (-. (greater (age T_0 T_2) (tau))) (-. (greater (tau) (age T_0 T_2))) (All X, (All T, ((organization X) => (((has_immunity X T) => ((hazard_of_mortality X T) = (very_low))) /\ ((-. (has_immunity X T)) => ((((is_aligned X T) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (low))) /\ ((((-. (is_aligned X T)) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (mod1))) /\ ((((is_aligned X T) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (mod2))) /\ (((-. (is_aligned X T)) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (high))))))))))) (All X, (All T, (((organization X) /\ (-. (has_endowment X))) => (-. (has_immunity X T))))) (-. (has_endowment 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))))) ### ConjTree 222
% 42.44/42.60 224. ((-. (has_immunity T_0 T_1)) => ((((is_aligned T_0 T_1) /\ (positional_advantage T_0 T_1)) => ((hazard_of_mortality T_0 T_1) = (low))) /\ ((((-. (is_aligned T_0 T_1)) /\ (positional_advantage T_0 T_1)) => ((hazard_of_mortality T_0 T_1) = (mod1))) /\ ((((is_aligned T_0 T_1) /\ (-. (positional_advantage T_0 T_1))) => ((hazard_of_mortality T_0 T_1) = (mod2))) /\ (((-. (is_aligned T_0 T_1)) /\ (-. (positional_advantage T_0 T_1))) => ((hazard_of_mortality T_0 T_1) = (high))))))) (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 T, ((organization X) => (((has_immunity X T) => ((hazard_of_mortality X T) = (very_low))) /\ ((-. (has_immunity X T)) => ((((is_aligned X T) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (low))) /\ ((((-. (is_aligned X T)) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (mod1))) /\ ((((is_aligned X T) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (mod2))) /\ (((-. (is_aligned X T)) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (high))))))))))) (-. (greater (tau) (age T_0 T_2))) (-. (greater (age T_0 T_2) (tau))) (All X, (All Y, ((smaller X Y) \/ ((X = Y) \/ (greater X Y))))) (-. (greater (age T_0 T_2) (sigma))) (All X, (All T, (((organization X) /\ ((age X T) = (zero))) => (is_aligned X T)))) ((sigma) = (tau)) (greater (age T_0 T_3) (sigma)) (All X, (All T0, (All T, (((organization X) /\ ((age X T0) = (zero))) => ((greater (age X T) (sigma)) <=> (dissimilar X T0 T)))))) (greater (mod2) (mod1)) (-. (greater (hazard_of_mortality T_0 T_2) (hazard_of_mortality T_0 T_3))) ((age T_0 T_1) = (zero)) (greater (tau) (zero)) (All T, (((smaller_or_equal (age T_0 T) (tau)) => (-. (positional_advantage T_0 T))) /\ ((greater (age T_0 T) (tau)) => (positional_advantage T_0 T)))) (is_aligned T_0 T_1) (All X, (All T, (((organization X) /\ (-. (has_endowment X))) => (-. (has_immunity X T))))) (-. (has_endowment T_0)) (organization T_0) ### Imply 12 223
% 42.44/42.60 225. (((has_immunity T_0 T_1) => ((hazard_of_mortality T_0 T_1) = (very_low))) /\ ((-. (has_immunity T_0 T_1)) => ((((is_aligned T_0 T_1) /\ (positional_advantage T_0 T_1)) => ((hazard_of_mortality T_0 T_1) = (low))) /\ ((((-. (is_aligned T_0 T_1)) /\ (positional_advantage T_0 T_1)) => ((hazard_of_mortality T_0 T_1) = (mod1))) /\ ((((is_aligned T_0 T_1) /\ (-. (positional_advantage T_0 T_1))) => ((hazard_of_mortality T_0 T_1) = (mod2))) /\ (((-. (is_aligned T_0 T_1)) /\ (-. (positional_advantage T_0 T_1))) => ((hazard_of_mortality T_0 T_1) = (high)))))))) (organization T_0) (-. (has_endowment T_0)) (All X, (All T, (((organization X) /\ (-. (has_endowment X))) => (-. (has_immunity X T))))) (is_aligned T_0 T_1) (All T, (((smaller_or_equal (age T_0 T) (tau)) => (-. (positional_advantage T_0 T))) /\ ((greater (age T_0 T) (tau)) => (positional_advantage T_0 T)))) (greater (tau) (zero)) ((age T_0 T_1) = (zero)) (-. (greater (hazard_of_mortality T_0 T_2) (hazard_of_mortality T_0 T_3))) (greater (mod2) (mod1)) (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_3) (sigma)) ((sigma) = (tau)) (All X, (All T, (((organization X) /\ ((age X T) = (zero))) => (is_aligned X T)))) (-. (greater (age T_0 T_2) (sigma))) (All X, (All Y, ((smaller X Y) \/ ((X = Y) \/ (greater X Y))))) (-. (greater (age T_0 T_2) (tau))) (-. (greater (tau) (age T_0 T_2))) (All X, (All T, ((organization X) => (((has_immunity X T) => ((hazard_of_mortality X T) = (very_low))) /\ ((-. (has_immunity X T)) => ((((is_aligned X T) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (low))) /\ ((((-. (is_aligned X T)) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (mod1))) /\ ((((is_aligned X T) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (mod2))) /\ (((-. (is_aligned X T)) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (high))))))))))) (All T0, (All T, (((organization T_0) /\ ((age T_0 T0) = (zero))) => ((greater (age T_0 T) (sigma)) <=> (dissimilar T_0 T0 T))))) ### And 224
% 42.44/42.60 226. ((organization T_0) => (((has_immunity T_0 T_1) => ((hazard_of_mortality T_0 T_1) = (very_low))) /\ ((-. (has_immunity T_0 T_1)) => ((((is_aligned T_0 T_1) /\ (positional_advantage T_0 T_1)) => ((hazard_of_mortality T_0 T_1) = (low))) /\ ((((-. (is_aligned T_0 T_1)) /\ (positional_advantage T_0 T_1)) => ((hazard_of_mortality T_0 T_1) = (mod1))) /\ ((((is_aligned T_0 T_1) /\ (-. (positional_advantage T_0 T_1))) => ((hazard_of_mortality T_0 T_1) = (mod2))) /\ (((-. (is_aligned T_0 T_1)) /\ (-. (positional_advantage T_0 T_1))) => ((hazard_of_mortality T_0 T_1) = (high))))))))) (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 T, ((organization X) => (((has_immunity X T) => ((hazard_of_mortality X T) = (very_low))) /\ ((-. (has_immunity X T)) => ((((is_aligned X T) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (low))) /\ ((((-. (is_aligned X T)) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (mod1))) /\ ((((is_aligned X T) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (mod2))) /\ (((-. (is_aligned X T)) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (high))))))))))) (-. (greater (tau) (age T_0 T_2))) (-. (greater (age T_0 T_2) (tau))) (All X, (All Y, ((smaller X Y) \/ ((X = Y) \/ (greater X Y))))) (-. (greater (age T_0 T_2) (sigma))) (All X, (All T, (((organization X) /\ ((age X T) = (zero))) => (is_aligned X T)))) ((sigma) = (tau)) (greater (age T_0 T_3) (sigma)) (All X, (All T0, (All T, (((organization X) /\ ((age X T0) = (zero))) => ((greater (age X T) (sigma)) <=> (dissimilar X T0 T)))))) (greater (mod2) (mod1)) (-. (greater (hazard_of_mortality T_0 T_2) (hazard_of_mortality T_0 T_3))) ((age T_0 T_1) = (zero)) (greater (tau) (zero)) (All T, (((smaller_or_equal (age T_0 T) (tau)) => (-. (positional_advantage T_0 T))) /\ ((greater (age T_0 T) (tau)) => (positional_advantage T_0 T)))) (is_aligned T_0 T_1) (All X, (All T, (((organization X) /\ (-. (has_endowment X))) => (-. (has_immunity X T))))) (-. (has_endowment T_0)) (organization T_0) ### Imply 202 225
% 42.44/42.63 227. (All T, ((organization T_0) => (((has_immunity T_0 T) => ((hazard_of_mortality T_0 T) = (very_low))) /\ ((-. (has_immunity T_0 T)) => ((((is_aligned T_0 T) /\ (positional_advantage T_0 T)) => ((hazard_of_mortality T_0 T) = (low))) /\ ((((-. (is_aligned T_0 T)) /\ (positional_advantage T_0 T)) => ((hazard_of_mortality T_0 T) = (mod1))) /\ ((((is_aligned T_0 T) /\ (-. (positional_advantage T_0 T))) => ((hazard_of_mortality T_0 T) = (mod2))) /\ (((-. (is_aligned T_0 T)) /\ (-. (positional_advantage T_0 T))) => ((hazard_of_mortality T_0 T) = (high)))))))))) (organization T_0) (-. (has_endowment T_0)) (All X, (All T, (((organization X) /\ (-. (has_endowment X))) => (-. (has_immunity X T))))) (is_aligned T_0 T_1) (All T, (((smaller_or_equal (age T_0 T) (tau)) => (-. (positional_advantage T_0 T))) /\ ((greater (age T_0 T) (tau)) => (positional_advantage T_0 T)))) (greater (tau) (zero)) ((age T_0 T_1) = (zero)) (-. (greater (hazard_of_mortality T_0 T_2) (hazard_of_mortality T_0 T_3))) (greater (mod2) (mod1)) (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_3) (sigma)) ((sigma) = (tau)) (All X, (All T, (((organization X) /\ ((age X T) = (zero))) => (is_aligned X T)))) (-. (greater (age T_0 T_2) (sigma))) (All X, (All Y, ((smaller X Y) \/ ((X = Y) \/ (greater X Y))))) (-. (greater (age T_0 T_2) (tau))) (-. (greater (tau) (age T_0 T_2))) (All X, (All T, ((organization X) => (((has_immunity X T) => ((hazard_of_mortality X T) = (very_low))) /\ ((-. (has_immunity X T)) => ((((is_aligned X T) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (low))) /\ ((((-. (is_aligned X T)) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (mod1))) /\ ((((is_aligned X T) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (mod2))) /\ (((-. (is_aligned X T)) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (high))))))))))) (All T0, (All T, (((organization T_0) /\ ((age T_0 T0) = (zero))) => ((greater (age T_0 T) (sigma)) <=> (dissimilar T_0 T0 T))))) ### All 226
% 42.44/42.63 228. (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 T, ((organization X) => (((has_immunity X T) => ((hazard_of_mortality X T) = (very_low))) /\ ((-. (has_immunity X T)) => ((((is_aligned X T) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (low))) /\ ((((-. (is_aligned X T)) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (mod1))) /\ ((((is_aligned X T) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (mod2))) /\ (((-. (is_aligned X T)) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (high))))))))))) (-. (greater (tau) (age T_0 T_2))) (-. (greater (age T_0 T_2) (tau))) (All X, (All Y, ((smaller X Y) \/ ((X = Y) \/ (greater X Y))))) (-. (greater (age T_0 T_2) (sigma))) (All X, (All T, (((organization X) /\ ((age X T) = (zero))) => (is_aligned X T)))) ((sigma) = (tau)) (greater (age T_0 T_3) (sigma)) (All X, (All T0, (All T, (((organization X) /\ ((age X T0) = (zero))) => ((greater (age X T) (sigma)) <=> (dissimilar X T0 T)))))) (greater (mod2) (mod1)) (-. (greater (hazard_of_mortality T_0 T_2) (hazard_of_mortality T_0 T_3))) ((age T_0 T_1) = (zero)) (greater (tau) (zero)) (All T, (((smaller_or_equal (age T_0 T) (tau)) => (-. (positional_advantage T_0 T))) /\ ((greater (age T_0 T) (tau)) => (positional_advantage T_0 T)))) (is_aligned T_0 T_1) (All X, (All T, (((organization X) /\ (-. (has_endowment X))) => (-. (has_immunity X T))))) (-. (has_endowment T_0)) (organization T_0) ### All 227
% 42.44/42.63 229. (((organization T_0) /\ ((age T_0 T_1) = (zero))) => (is_aligned T_0 T_1)) (-. (has_endowment T_0)) (All X, (All T, (((organization X) /\ (-. (has_endowment X))) => (-. (has_immunity X T))))) (All T, (((smaller_or_equal (age T_0 T) (tau)) => (-. (positional_advantage T_0 T))) /\ ((greater (age T_0 T) (tau)) => (positional_advantage T_0 T)))) (greater (tau) (zero)) (-. (greater (hazard_of_mortality T_0 T_2) (hazard_of_mortality T_0 T_3))) (greater (mod2) (mod1)) (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_3) (sigma)) ((sigma) = (tau)) (All X, (All T, (((organization X) /\ ((age X T) = (zero))) => (is_aligned X T)))) (-. (greater (age T_0 T_2) (sigma))) (All X, (All Y, ((smaller X Y) \/ ((X = Y) \/ (greater X Y))))) (-. (greater (age T_0 T_2) (tau))) (-. (greater (tau) (age T_0 T_2))) (All X, (All T, ((organization X) => (((has_immunity X T) => ((hazard_of_mortality X T) = (very_low))) /\ ((-. (has_immunity X T)) => ((((is_aligned X T) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (low))) /\ ((((-. (is_aligned X T)) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (mod1))) /\ ((((is_aligned X T) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (mod2))) /\ (((-. (is_aligned X T)) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (high))))))))))) (All T0, (All T, (((organization T_0) /\ ((age T_0 T0) = (zero))) => ((greater (age T_0 T) (sigma)) <=> (dissimilar T_0 T0 T))))) ((age T_0 T_1) = (zero)) (organization T_0) ### DisjTree 200 201 228
% 42.44/42.63 230. (All T, (((organization T_0) /\ ((age T_0 T) = (zero))) => (is_aligned T_0 T))) (organization T_0) ((age T_0 T_1) = (zero)) (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 T, ((organization X) => (((has_immunity X T) => ((hazard_of_mortality X T) = (very_low))) /\ ((-. (has_immunity X T)) => ((((is_aligned X T) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (low))) /\ ((((-. (is_aligned X T)) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (mod1))) /\ ((((is_aligned X T) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (mod2))) /\ (((-. (is_aligned X T)) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (high))))))))))) (-. (greater (tau) (age T_0 T_2))) (-. (greater (age T_0 T_2) (tau))) (All X, (All Y, ((smaller X Y) \/ ((X = Y) \/ (greater X Y))))) (-. (greater (age T_0 T_2) (sigma))) (All X, (All T, (((organization X) /\ ((age X T) = (zero))) => (is_aligned X T)))) ((sigma) = (tau)) (greater (age T_0 T_3) (sigma)) (All X, (All T0, (All T, (((organization X) /\ ((age X T0) = (zero))) => ((greater (age X T) (sigma)) <=> (dissimilar X T0 T)))))) (greater (mod2) (mod1)) (-. (greater (hazard_of_mortality T_0 T_2) (hazard_of_mortality T_0 T_3))) (greater (tau) (zero)) (All T, (((smaller_or_equal (age T_0 T) (tau)) => (-. (positional_advantage T_0 T))) /\ ((greater (age T_0 T) (tau)) => (positional_advantage T_0 T)))) (All X, (All T, (((organization X) /\ (-. (has_endowment X))) => (-. (has_immunity X T))))) (-. (has_endowment T_0)) ### All 229
% 42.44/42.63 231. (-. (has_endowment T_0)) (All X, (All T, (((organization X) /\ (-. (has_endowment X))) => (-. (has_immunity X T))))) (All T, (((smaller_or_equal (age T_0 T) (tau)) => (-. (positional_advantage T_0 T))) /\ ((greater (age T_0 T) (tau)) => (positional_advantage T_0 T)))) (greater (tau) (zero)) (-. (greater (hazard_of_mortality T_0 T_2) (hazard_of_mortality T_0 T_3))) (greater (mod2) (mod1)) (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_3) (sigma)) ((sigma) = (tau)) (All X, (All T, (((organization X) /\ ((age X T) = (zero))) => (is_aligned X T)))) (-. (greater (age T_0 T_2) (sigma))) (All X, (All Y, ((smaller X Y) \/ ((X = Y) \/ (greater X Y))))) (-. (greater (age T_0 T_2) (tau))) (-. (greater (tau) (age T_0 T_2))) (All X, (All T, ((organization X) => (((has_immunity X T) => ((hazard_of_mortality X T) = (very_low))) /\ ((-. (has_immunity X T)) => ((((is_aligned X T) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (low))) /\ ((((-. (is_aligned X T)) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (mod1))) /\ ((((is_aligned X T) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (mod2))) /\ (((-. (is_aligned X T)) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (high))))))))))) ((age T_0 T_1) = (zero)) (organization T_0) (All T, (((organization T_0) /\ ((age T_0 T) = (zero))) => (is_aligned T_0 T))) ### All 230
% 42.44/42.63 232. (organization T_0) ((age T_0 T_1) = (zero)) (All X, (All T, ((organization X) => (((has_immunity X T) => ((hazard_of_mortality X T) = (very_low))) /\ ((-. (has_immunity X T)) => ((((is_aligned X T) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (low))) /\ ((((-. (is_aligned X T)) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (mod1))) /\ ((((is_aligned X T) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (mod2))) /\ (((-. (is_aligned X T)) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (high))))))))))) (-. (greater (tau) (age T_0 T_2))) (-. (greater (age T_0 T_2) (tau))) (All X, (All Y, ((smaller X Y) \/ ((X = Y) \/ (greater X Y))))) (-. (greater (age T_0 T_2) (sigma))) (All X, (All T, (((organization X) /\ ((age X T) = (zero))) => (is_aligned X T)))) ((sigma) = (tau)) (greater (age T_0 T_3) (sigma)) (All X, (All T0, (All T, (((organization X) /\ ((age X T0) = (zero))) => ((greater (age X T) (sigma)) <=> (dissimilar X T0 T)))))) (greater (mod2) (mod1)) (-. (greater (hazard_of_mortality T_0 T_2) (hazard_of_mortality T_0 T_3))) (greater (tau) (zero)) (All T, (((smaller_or_equal (age T_0 T) (tau)) => (-. (positional_advantage T_0 T))) /\ ((greater (age T_0 T) (tau)) => (positional_advantage T_0 T)))) (All X, (All T, (((organization X) /\ (-. (has_endowment X))) => (-. (has_immunity X T))))) (-. (has_endowment T_0)) ### All 231
% 42.44/42.63 233. (-. (has_endowment T_0)) (All X, (All T, (((organization X) /\ (-. (has_endowment X))) => (-. (has_immunity X T))))) (All T, (((smaller_or_equal (age T_0 T) (tau)) => (-. (positional_advantage T_0 T))) /\ ((greater (age T_0 T) (tau)) => (positional_advantage T_0 T)))) (greater (tau) (zero)) (-. (greater (hazard_of_mortality T_0 T_2) (hazard_of_mortality T_0 T_3))) (greater (mod2) (mod1)) (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_3) (sigma)) ((sigma) = (tau)) (All X, (All T, (((organization X) /\ ((age X T) = (zero))) => (is_aligned X T)))) (-. (greater (age T_0 T_2) (sigma))) (All X, (All T, ((organization X) => (((has_immunity X T) => ((hazard_of_mortality X T) = (very_low))) /\ ((-. (has_immunity X T)) => ((((is_aligned X T) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (low))) /\ ((((-. (is_aligned X T)) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (mod1))) /\ ((((is_aligned X T) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (mod2))) /\ (((-. (is_aligned X T)) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (high))))))))))) ((age T_0 T_1) = (zero)) (organization T_0) (-. (greater (tau) (age T_0 T_2))) (All X, (All Y, ((smaller X Y) \/ ((X = Y) \/ (greater X Y))))) ### TransEq2 33 232 2
% 42.44/42.63 234. ((age T_0 T_2) = (sigma)) ((age T_0 T_2) != (sigma)) ### Axiom
% 42.44/42.63 235. (-. (greater (sigma) (sigma))) ((age T_0 T_2) = (sigma)) (All X, (All Y, ((smaller X Y) \/ ((X = Y) \/ (greater X Y))))) (-. (greater (tau) (age T_0 T_2))) (organization T_0) ((age T_0 T_1) = (zero)) (All X, (All T, ((organization X) => (((has_immunity X T) => ((hazard_of_mortality X T) = (very_low))) /\ ((-. (has_immunity X T)) => ((((is_aligned X T) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (low))) /\ ((((-. (is_aligned X T)) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (mod1))) /\ ((((is_aligned X T) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (mod2))) /\ (((-. (is_aligned X T)) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (high))))))))))) (All X, (All T, (((organization X) /\ ((age X T) = (zero))) => (is_aligned X T)))) ((sigma) = (tau)) (greater (age T_0 T_3) (sigma)) (All X, (All T0, (All T, (((organization X) /\ ((age X T0) = (zero))) => ((greater (age X T) (sigma)) <=> (dissimilar X T0 T)))))) (greater (mod2) (mod1)) (-. (greater (hazard_of_mortality T_0 T_2) (hazard_of_mortality T_0 T_3))) (greater (tau) (zero)) (All T, (((smaller_or_equal (age T_0 T) (tau)) => (-. (positional_advantage T_0 T))) /\ ((greater (age T_0 T) (tau)) => (positional_advantage T_0 T)))) (All X, (All T, (((organization X) /\ (-. (has_endowment X))) => (-. (has_immunity X T))))) (-. (has_endowment T_0)) ### TransEq2 2 233 234
% 42.44/42.63 236. (-. (greater (tau) (sigma))) (-. (has_endowment T_0)) (All X, (All T, (((organization X) /\ (-. (has_endowment X))) => (-. (has_immunity X T))))) (All T, (((smaller_or_equal (age T_0 T) (tau)) => (-. (positional_advantage T_0 T))) /\ ((greater (age T_0 T) (tau)) => (positional_advantage T_0 T)))) (greater (tau) (zero)) (-. (greater (hazard_of_mortality T_0 T_2) (hazard_of_mortality T_0 T_3))) (greater (mod2) (mod1)) (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_3) (sigma)) (All X, (All T, (((organization X) /\ ((age X T) = (zero))) => (is_aligned X T)))) (All X, (All T, ((organization X) => (((has_immunity X T) => ((hazard_of_mortality X T) = (very_low))) /\ ((-. (has_immunity X T)) => ((((is_aligned X T) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (low))) /\ ((((-. (is_aligned X T)) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (mod1))) /\ ((((is_aligned X T) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (mod2))) /\ (((-. (is_aligned X T)) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (high))))))))))) ((age T_0 T_1) = (zero)) (organization T_0) (All X, (All Y, ((smaller X Y) \/ ((X = Y) \/ (greater X Y))))) (-. (greater (sigma) (sigma))) ((age T_0 T_2) = (sigma)) ((sigma) = (tau)) ### TransEq 199 235 2
% 42.44/42.63 237. ((sigma) = (tau)) ((tau) != (sigma)) ### Sym(=)
% 42.44/42.63 238. ((sigma) = (tau)) ((age T_0 T_2) = (sigma)) (-. (greater (sigma) (sigma))) (All X, (All Y, ((smaller X Y) \/ ((X = Y) \/ (greater X Y))))) (organization T_0) ((age T_0 T_1) = (zero)) (All X, (All T, ((organization X) => (((has_immunity X T) => ((hazard_of_mortality X T) = (very_low))) /\ ((-. (has_immunity X T)) => ((((is_aligned X T) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (low))) /\ ((((-. (is_aligned X T)) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (mod1))) /\ ((((is_aligned X T) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (mod2))) /\ (((-. (is_aligned X T)) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (high))))))))))) (All X, (All T, (((organization X) /\ ((age X T) = (zero))) => (is_aligned X T)))) (greater (age T_0 T_3) (sigma)) (All X, (All T0, (All T, (((organization X) /\ ((age X T0) = (zero))) => ((greater (age X T) (sigma)) <=> (dissimilar X T0 T)))))) (greater (mod2) (mod1)) (-. (greater (hazard_of_mortality T_0 T_2) (hazard_of_mortality T_0 T_3))) (greater (tau) (zero)) (All T, (((smaller_or_equal (age T_0 T) (tau)) => (-. (positional_advantage T_0 T))) /\ ((greater (age T_0 T) (tau)) => (positional_advantage T_0 T)))) (All X, (All T, (((organization X) /\ (-. (has_endowment X))) => (-. (has_immunity X T))))) (-. (has_endowment T_0)) ### TransEq 2 236 237
% 42.44/42.63 239. (-. (greater (sigma) (tau))) (-. (has_endowment T_0)) (All X, (All T, (((organization X) /\ (-. (has_endowment X))) => (-. (has_immunity X T))))) (All T, (((smaller_or_equal (age T_0 T) (tau)) => (-. (positional_advantage T_0 T))) /\ ((greater (age T_0 T) (tau)) => (positional_advantage T_0 T)))) (greater (tau) (zero)) (-. (greater (hazard_of_mortality T_0 T_2) (hazard_of_mortality T_0 T_3))) (greater (mod2) (mod1)) (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_3) (sigma)) (All X, (All T, (((organization X) /\ ((age X T) = (zero))) => (is_aligned X T)))) (All X, (All T, ((organization X) => (((has_immunity X T) => ((hazard_of_mortality X T) = (very_low))) /\ ((-. (has_immunity X T)) => ((((is_aligned X T) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (low))) /\ ((((-. (is_aligned X T)) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (mod1))) /\ ((((is_aligned X T) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (mod2))) /\ (((-. (is_aligned X T)) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (high))))))))))) ((age T_0 T_1) = (zero)) (organization T_0) (All X, (All Y, ((smaller X Y) \/ ((X = Y) \/ (greater X Y))))) ((age T_0 T_2) = (sigma)) ((sigma) = (tau)) ### TransEq 238 238 1
% 42.44/42.64 240. ((sigma) = (tau)) ((sigma) != (tau)) ### Axiom
% 42.44/42.64 241. (-. (greater (tau) (tau))) ((sigma) = (tau)) ((age T_0 T_2) = (sigma)) (All X, (All Y, ((smaller X Y) \/ ((X = Y) \/ (greater X Y))))) (organization T_0) ((age T_0 T_1) = (zero)) (All X, (All T, ((organization X) => (((has_immunity X T) => ((hazard_of_mortality X T) = (very_low))) /\ ((-. (has_immunity X T)) => ((((is_aligned X T) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (low))) /\ ((((-. (is_aligned X T)) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (mod1))) /\ ((((is_aligned X T) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (mod2))) /\ (((-. (is_aligned X T)) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (high))))))))))) (All X, (All T, (((organization X) /\ ((age X T) = (zero))) => (is_aligned X T)))) (greater (age T_0 T_3) (sigma)) (All X, (All T0, (All T, (((organization X) /\ ((age X T0) = (zero))) => ((greater (age X T) (sigma)) <=> (dissimilar X T0 T)))))) (greater (mod2) (mod1)) (-. (greater (hazard_of_mortality T_0 T_2) (hazard_of_mortality T_0 T_3))) (greater (tau) (zero)) (All T, (((smaller_or_equal (age T_0 T) (tau)) => (-. (positional_advantage T_0 T))) /\ ((greater (age T_0 T) (tau)) => (positional_advantage T_0 T)))) (All X, (All T, (((organization X) /\ (-. (has_endowment X))) => (-. (has_immunity X T))))) (-. (has_endowment T_0)) ### TransEq2 1 239 240
% 42.44/42.64 242. (-. (greater (sigma) (age T_0 T_2))) (-. (has_endowment T_0)) (All X, (All T, (((organization X) /\ (-. (has_endowment X))) => (-. (has_immunity X T))))) (All T, (((smaller_or_equal (age T_0 T) (tau)) => (-. (positional_advantage T_0 T))) /\ ((greater (age T_0 T) (tau)) => (positional_advantage T_0 T)))) (greater (tau) (zero)) (-. (greater (hazard_of_mortality T_0 T_2) (hazard_of_mortality T_0 T_3))) (greater (mod2) (mod1)) (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_3) (sigma)) ((sigma) = (tau)) (All X, (All T, (((organization X) /\ ((age X T) = (zero))) => (is_aligned X T)))) (All X, (All T, ((organization X) => (((has_immunity X T) => ((hazard_of_mortality X T) = (very_low))) /\ ((-. (has_immunity X T)) => ((((is_aligned X T) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (low))) /\ ((((-. (is_aligned X T)) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (mod1))) /\ ((((is_aligned X T) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (mod2))) /\ (((-. (is_aligned X T)) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (high))))))))))) ((age T_0 T_1) = (zero)) (organization T_0) (All X, (All Y, ((smaller X Y) \/ ((X = Y) \/ (greater X Y))))) ((age T_0 T_2) = (sigma)) ### TransEq 2 235 199
% 42.44/42.64 243. ((age T_0 T_2) = (sigma)) ((sigma) != (age T_0 T_2)) ### Sym(=)
% 42.44/42.64 244. (-. (greater (tau) (age T_0 T_2))) (-. (has_endowment T_0)) (All X, (All T, (((organization X) /\ (-. (has_endowment X))) => (-. (has_immunity X T))))) (All T, (((smaller_or_equal (age T_0 T) (tau)) => (-. (positional_advantage T_0 T))) /\ ((greater (age T_0 T) (tau)) => (positional_advantage T_0 T)))) (greater (tau) (zero)) (-. (greater (hazard_of_mortality T_0 T_2) (hazard_of_mortality T_0 T_3))) (greater (mod2) (mod1)) (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_3) (sigma)) (All X, (All T, (((organization X) /\ ((age X T) = (zero))) => (is_aligned X T)))) (All X, (All T, ((organization X) => (((has_immunity X T) => ((hazard_of_mortality X T) = (very_low))) /\ ((-. (has_immunity X T)) => ((((is_aligned X T) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (low))) /\ ((((-. (is_aligned X T)) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (mod1))) /\ ((((is_aligned X T) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (mod2))) /\ (((-. (is_aligned X T)) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (high))))))))))) ((age T_0 T_1) = (zero)) (organization T_0) (All X, (All Y, ((smaller X Y) \/ ((X = Y) \/ (greater X Y))))) ((age T_0 T_2) = (sigma)) ((sigma) = (tau)) ### TransEq2 241 242 243
% 42.44/42.64 245. (-. (smaller (age T_0 T_2) (tau))) ((sigma) = (tau)) ((age T_0 T_2) = (sigma)) (All X, (All Y, ((smaller X Y) \/ ((X = Y) \/ (greater X Y))))) (organization T_0) ((age T_0 T_1) = (zero)) (All X, (All T, ((organization X) => (((has_immunity X T) => ((hazard_of_mortality X T) = (very_low))) /\ ((-. (has_immunity X T)) => ((((is_aligned X T) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (low))) /\ ((((-. (is_aligned X T)) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (mod1))) /\ ((((is_aligned X T) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (mod2))) /\ (((-. (is_aligned X T)) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (high))))))))))) (All X, (All T, (((organization X) /\ ((age X T) = (zero))) => (is_aligned X T)))) (greater (age T_0 T_3) (sigma)) (All X, (All T0, (All T, (((organization X) /\ ((age X T0) = (zero))) => ((greater (age X T) (sigma)) <=> (dissimilar X T0 T)))))) (greater (mod2) (mod1)) (-. (greater (hazard_of_mortality T_0 T_2) (hazard_of_mortality T_0 T_3))) (greater (tau) (zero)) (All T, (((smaller_or_equal (age T_0 T) (tau)) => (-. (positional_advantage T_0 T))) /\ ((greater (age T_0 T) (tau)) => (positional_advantage T_0 T)))) (All X, (All T, (((organization X) /\ (-. (has_endowment X))) => (-. (has_immunity X T))))) (-. (has_endowment T_0)) ### Definition-Pseudo(smaller) 244
% 42.44/42.64 246. (-. ((smaller (age T_0 T_2) (tau)) \/ ((age T_0 T_2) = (tau)))) (-. (has_endowment T_0)) (All X, (All T, (((organization X) /\ (-. (has_endowment X))) => (-. (has_immunity X T))))) (All T, (((smaller_or_equal (age T_0 T) (tau)) => (-. (positional_advantage T_0 T))) /\ ((greater (age T_0 T) (tau)) => (positional_advantage T_0 T)))) (greater (tau) (zero)) (-. (greater (hazard_of_mortality T_0 T_2) (hazard_of_mortality T_0 T_3))) (greater (mod2) (mod1)) (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_3) (sigma)) (All X, (All T, (((organization X) /\ ((age X T) = (zero))) => (is_aligned X T)))) (All X, (All T, ((organization X) => (((has_immunity X T) => ((hazard_of_mortality X T) = (very_low))) /\ ((-. (has_immunity X T)) => ((((is_aligned X T) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (low))) /\ ((((-. (is_aligned X T)) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (mod1))) /\ ((((is_aligned X T) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (mod2))) /\ (((-. (is_aligned X T)) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (high))))))))))) ((age T_0 T_1) = (zero)) (organization T_0) (All X, (All Y, ((smaller X Y) \/ ((X = Y) \/ (greater X Y))))) ((age T_0 T_2) = (sigma)) ((sigma) = (tau)) ### NotOr 245
% 42.44/42.64 247. (-. (smaller_or_equal (age T_0 T_2) (tau))) ((sigma) = (tau)) ((age T_0 T_2) = (sigma)) (All X, (All Y, ((smaller X Y) \/ ((X = Y) \/ (greater X Y))))) (organization T_0) ((age T_0 T_1) = (zero)) (All X, (All T, ((organization X) => (((has_immunity X T) => ((hazard_of_mortality X T) = (very_low))) /\ ((-. (has_immunity X T)) => ((((is_aligned X T) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (low))) /\ ((((-. (is_aligned X T)) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (mod1))) /\ ((((is_aligned X T) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (mod2))) /\ (((-. (is_aligned X T)) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (high))))))))))) (All X, (All T, (((organization X) /\ ((age X T) = (zero))) => (is_aligned X T)))) (greater (age T_0 T_3) (sigma)) (All X, (All T0, (All T, (((organization X) /\ ((age X T0) = (zero))) => ((greater (age X T) (sigma)) <=> (dissimilar X T0 T)))))) (greater (mod2) (mod1)) (-. (greater (hazard_of_mortality T_0 T_2) (hazard_of_mortality T_0 T_3))) (greater (tau) (zero)) (All T, (((smaller_or_equal (age T_0 T) (tau)) => (-. (positional_advantage T_0 T))) /\ ((greater (age T_0 T) (tau)) => (positional_advantage T_0 T)))) (All X, (All T, (((organization X) /\ (-. (has_endowment X))) => (-. (has_immunity X T))))) (-. (has_endowment T_0)) ### Definition-Pseudo(smaller_or_equal) 246
% 42.44/42.64 248. ((age T_0 T_2) != (age T_0 T_2)) ### Refl(=)
% 42.44/42.64 249. ((sigma) = (tau)) ((sigma) != (tau)) ### Axiom
% 42.44/42.64 250. (-. (greater (age T_0 T_2) (tau))) ((sigma) = (tau)) ((age T_0 T_2) = (sigma)) (All X, (All Y, ((smaller X Y) \/ ((X = Y) \/ (greater X Y))))) (organization T_0) ((age T_0 T_1) = (zero)) (All X, (All T, ((organization X) => (((has_immunity X T) => ((hazard_of_mortality X T) = (very_low))) /\ ((-. (has_immunity X T)) => ((((is_aligned X T) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (low))) /\ ((((-. (is_aligned X T)) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (mod1))) /\ ((((is_aligned X T) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (mod2))) /\ (((-. (is_aligned X T)) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (high))))))))))) (All X, (All T, (((organization X) /\ ((age X T) = (zero))) => (is_aligned X T)))) (greater (age T_0 T_3) (sigma)) (All X, (All T0, (All T, (((organization X) /\ ((age X T0) = (zero))) => ((greater (age X T) (sigma)) <=> (dissimilar X T0 T)))))) (greater (mod2) (mod1)) (-. (greater (hazard_of_mortality T_0 T_2) (hazard_of_mortality T_0 T_3))) (greater (tau) (zero)) (All T, (((smaller_or_equal (age T_0 T) (tau)) => (-. (positional_advantage T_0 T))) /\ ((greater (age T_0 T) (tau)) => (positional_advantage T_0 T)))) (All X, (All T, (((organization X) /\ (-. (has_endowment X))) => (-. (has_immunity X T))))) (-. (has_endowment T_0)) ### TransEq 248 239 249
% 42.44/42.64 251. (-. (positional_advantage T_0 T_2)) (positional_advantage T_0 T_2) ### Axiom
% 42.44/42.64 252. ((greater (age T_0 T_2) (tau)) => (positional_advantage T_0 T_2)) (-. (positional_advantage T_0 T_2)) (-. (has_endowment T_0)) (All X, (All T, (((organization X) /\ (-. (has_endowment X))) => (-. (has_immunity X T))))) (All T, (((smaller_or_equal (age T_0 T) (tau)) => (-. (positional_advantage T_0 T))) /\ ((greater (age T_0 T) (tau)) => (positional_advantage T_0 T)))) (greater (tau) (zero)) (-. (greater (hazard_of_mortality T_0 T_2) (hazard_of_mortality T_0 T_3))) (greater (mod2) (mod1)) (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_3) (sigma)) (All X, (All T, (((organization X) /\ ((age X T) = (zero))) => (is_aligned X T)))) (All X, (All T, ((organization X) => (((has_immunity X T) => ((hazard_of_mortality X T) = (very_low))) /\ ((-. (has_immunity X T)) => ((((is_aligned X T) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (low))) /\ ((((-. (is_aligned X T)) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (mod1))) /\ ((((is_aligned X T) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (mod2))) /\ (((-. (is_aligned X T)) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (high))))))))))) ((age T_0 T_1) = (zero)) (organization T_0) (All X, (All Y, ((smaller X Y) \/ ((X = Y) \/ (greater X Y))))) ((age T_0 T_2) = (sigma)) ((sigma) = (tau)) ### Imply 250 251
% 42.44/42.64 253. ((smaller_or_equal (age T_0 T_2) (tau)) => (-. (positional_advantage T_0 T_2))) ((greater (age T_0 T_2) (tau)) => (positional_advantage T_0 T_2)) (-. (has_endowment T_0)) (All X, (All T, (((organization X) /\ (-. (has_endowment X))) => (-. (has_immunity X T))))) (All T, (((smaller_or_equal (age T_0 T) (tau)) => (-. (positional_advantage T_0 T))) /\ ((greater (age T_0 T) (tau)) => (positional_advantage T_0 T)))) (greater (tau) (zero)) (-. (greater (hazard_of_mortality T_0 T_2) (hazard_of_mortality T_0 T_3))) (greater (mod2) (mod1)) (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_3) (sigma)) (All X, (All T, (((organization X) /\ ((age X T) = (zero))) => (is_aligned X T)))) (All X, (All T, ((organization X) => (((has_immunity X T) => ((hazard_of_mortality X T) = (very_low))) /\ ((-. (has_immunity X T)) => ((((is_aligned X T) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (low))) /\ ((((-. (is_aligned X T)) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (mod1))) /\ ((((is_aligned X T) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (mod2))) /\ (((-. (is_aligned X T)) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (high))))))))))) ((age T_0 T_1) = (zero)) (organization T_0) (All X, (All Y, ((smaller X Y) \/ ((X = Y) \/ (greater X Y))))) ((age T_0 T_2) = (sigma)) ((sigma) = (tau)) ### Imply 247 252
% 42.44/42.64 254. (((smaller_or_equal (age T_0 T_2) (tau)) => (-. (positional_advantage T_0 T_2))) /\ ((greater (age T_0 T_2) (tau)) => (positional_advantage T_0 T_2))) ((sigma) = (tau)) ((age T_0 T_2) = (sigma)) (All X, (All Y, ((smaller X Y) \/ ((X = Y) \/ (greater X Y))))) (organization T_0) ((age T_0 T_1) = (zero)) (All X, (All T, ((organization X) => (((has_immunity X T) => ((hazard_of_mortality X T) = (very_low))) /\ ((-. (has_immunity X T)) => ((((is_aligned X T) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (low))) /\ ((((-. (is_aligned X T)) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (mod1))) /\ ((((is_aligned X T) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (mod2))) /\ (((-. (is_aligned X T)) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (high))))))))))) (All X, (All T, (((organization X) /\ ((age X T) = (zero))) => (is_aligned X T)))) (greater (age T_0 T_3) (sigma)) (All X, (All T0, (All T, (((organization X) /\ ((age X T0) = (zero))) => ((greater (age X T) (sigma)) <=> (dissimilar X T0 T)))))) (greater (mod2) (mod1)) (-. (greater (hazard_of_mortality T_0 T_2) (hazard_of_mortality T_0 T_3))) (greater (tau) (zero)) (All T, (((smaller_or_equal (age T_0 T) (tau)) => (-. (positional_advantage T_0 T))) /\ ((greater (age T_0 T) (tau)) => (positional_advantage T_0 T)))) (All X, (All T, (((organization X) /\ (-. (has_endowment X))) => (-. (has_immunity X T))))) (-. (has_endowment T_0)) ### And 253
% 42.44/42.64 255. (-. (has_endowment T_0)) (All X, (All T, (((organization X) /\ (-. (has_endowment X))) => (-. (has_immunity X T))))) (All T, (((smaller_or_equal (age T_0 T) (tau)) => (-. (positional_advantage T_0 T))) /\ ((greater (age T_0 T) (tau)) => (positional_advantage T_0 T)))) (greater (tau) (zero)) (-. (greater (hazard_of_mortality T_0 T_2) (hazard_of_mortality T_0 T_3))) (greater (mod2) (mod1)) (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_3) (sigma)) (All X, (All T, (((organization X) /\ ((age X T) = (zero))) => (is_aligned X T)))) (All X, (All T, ((organization X) => (((has_immunity X T) => ((hazard_of_mortality X T) = (very_low))) /\ ((-. (has_immunity X T)) => ((((is_aligned X T) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (low))) /\ ((((-. (is_aligned X T)) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (mod1))) /\ ((((is_aligned X T) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (mod2))) /\ (((-. (is_aligned X T)) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (high))))))))))) ((age T_0 T_1) = (zero)) (organization T_0) (All X, (All Y, ((smaller X Y) \/ ((X = Y) \/ (greater X Y))))) ((age T_0 T_2) = (sigma)) ((sigma) = (tau)) ### All 254
% 42.44/42.68 256. (-. (smaller (hazard_of_mortality T_0 T_3) (hazard_of_mortality T_0 T_2))) ((sigma) = (tau)) ((age T_0 T_2) = (sigma)) (All X, (All Y, ((smaller X Y) \/ ((X = Y) \/ (greater X Y))))) (organization T_0) ((age T_0 T_1) = (zero)) (All X, (All T, ((organization X) => (((has_immunity X T) => ((hazard_of_mortality X T) = (very_low))) /\ ((-. (has_immunity X T)) => ((((is_aligned X T) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (low))) /\ ((((-. (is_aligned X T)) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (mod1))) /\ ((((is_aligned X T) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (mod2))) /\ (((-. (is_aligned X T)) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (high))))))))))) (All X, (All T, (((organization X) /\ ((age X T) = (zero))) => (is_aligned X T)))) (greater (age T_0 T_3) (sigma)) (All X, (All T0, (All T, (((organization X) /\ ((age X T0) = (zero))) => ((greater (age X T) (sigma)) <=> (dissimilar X T0 T)))))) (greater (mod2) (mod1)) (greater (tau) (zero)) (All T, (((smaller_or_equal (age T_0 T) (tau)) => (-. (positional_advantage T_0 T))) /\ ((greater (age T_0 T) (tau)) => (positional_advantage T_0 T)))) (All X, (All T, (((organization X) /\ (-. (has_endowment X))) => (-. (has_immunity X T))))) (-. (has_endowment T_0)) ### Definition-Pseudo(smaller) 255
% 42.44/42.68 257. (organization T_0) (-. (organization T_0)) ### Axiom
% 42.44/42.68 258. ((age T_0 T_1) = (zero)) ((age T_0 T_1) != (zero)) ### Axiom
% 42.44/42.68 259. (All X, (All T0, (All T, (((organization X) /\ ((age X T0) = (zero))) => ((greater (age X T) (sigma)) <=> (dissimilar X T0 T)))))) ((hazard_of_mortality T_0 T_2) != (hazard_of_mortality T_0 T_1)) (greater (tau) (zero)) (All T, (((smaller_or_equal (age T_0 T) (tau)) => (-. (positional_advantage T_0 T))) /\ ((greater (age T_0 T) (tau)) => (positional_advantage T_0 T)))) (All T, ((organization T_0) => (((has_immunity T_0 T) => ((hazard_of_mortality T_0 T) = (very_low))) /\ ((-. (has_immunity T_0 T)) => ((((is_aligned T_0 T) /\ (positional_advantage T_0 T)) => ((hazard_of_mortality T_0 T) = (low))) /\ ((((-. (is_aligned T_0 T)) /\ (positional_advantage T_0 T)) => ((hazard_of_mortality T_0 T) = (mod1))) /\ ((((is_aligned T_0 T) /\ (-. (positional_advantage T_0 T))) => ((hazard_of_mortality T_0 T) = (mod2))) /\ (((-. (is_aligned T_0 T)) /\ (-. (positional_advantage T_0 T))) => ((hazard_of_mortality T_0 T) = (high)))))))))) (All T, (((organization T_0) /\ ((age T_0 T) = (zero))) => (is_aligned T_0 T))) (-. (positional_advantage T_0 T_2)) ((age T_0 T_1) = (zero)) (-. (greater (age T_0 T_2) (sigma))) (is_aligned T_0 T_1) (All X, (All T, (((organization X) /\ (-. (has_endowment X))) => (-. (has_immunity X T))))) (-. (has_endowment T_0)) (organization T_0) ### All 176
% 42.44/42.68 260. (((organization T_0) /\ ((age T_0 T_1) = (zero))) => (is_aligned T_0 T_1)) (-. (has_endowment T_0)) (All X, (All T, (((organization X) /\ (-. (has_endowment X))) => (-. (has_immunity X T))))) (-. (greater (age T_0 T_2) (sigma))) (-. (positional_advantage T_0 T_2)) (All T, (((organization T_0) /\ ((age T_0 T) = (zero))) => (is_aligned T_0 T))) (All T, ((organization T_0) => (((has_immunity T_0 T) => ((hazard_of_mortality T_0 T) = (very_low))) /\ ((-. (has_immunity T_0 T)) => ((((is_aligned T_0 T) /\ (positional_advantage T_0 T)) => ((hazard_of_mortality T_0 T) = (low))) /\ ((((-. (is_aligned T_0 T)) /\ (positional_advantage T_0 T)) => ((hazard_of_mortality T_0 T) = (mod1))) /\ ((((is_aligned T_0 T) /\ (-. (positional_advantage T_0 T))) => ((hazard_of_mortality T_0 T) = (mod2))) /\ (((-. (is_aligned T_0 T)) /\ (-. (positional_advantage T_0 T))) => ((hazard_of_mortality T_0 T) = (high)))))))))) (All T, (((smaller_or_equal (age T_0 T) (tau)) => (-. (positional_advantage T_0 T))) /\ ((greater (age T_0 T) (tau)) => (positional_advantage T_0 T)))) (greater (tau) (zero)) ((hazard_of_mortality T_0 T_2) != (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_1) = (zero)) (organization T_0) ### DisjTree 257 258 259
% 42.44/42.68 261. (organization T_0) ((age T_0 T_1) = (zero)) (All X, (All T0, (All T, (((organization X) /\ ((age X T0) = (zero))) => ((greater (age X T) (sigma)) <=> (dissimilar X T0 T)))))) ((hazard_of_mortality T_0 T_2) != (hazard_of_mortality T_0 T_1)) (greater (tau) (zero)) (All T, (((smaller_or_equal (age T_0 T) (tau)) => (-. (positional_advantage T_0 T))) /\ ((greater (age T_0 T) (tau)) => (positional_advantage T_0 T)))) (All T, ((organization T_0) => (((has_immunity T_0 T) => ((hazard_of_mortality T_0 T) = (very_low))) /\ ((-. (has_immunity T_0 T)) => ((((is_aligned T_0 T) /\ (positional_advantage T_0 T)) => ((hazard_of_mortality T_0 T) = (low))) /\ ((((-. (is_aligned T_0 T)) /\ (positional_advantage T_0 T)) => ((hazard_of_mortality T_0 T) = (mod1))) /\ ((((is_aligned T_0 T) /\ (-. (positional_advantage T_0 T))) => ((hazard_of_mortality T_0 T) = (mod2))) /\ (((-. (is_aligned T_0 T)) /\ (-. (positional_advantage T_0 T))) => ((hazard_of_mortality T_0 T) = (high)))))))))) (All T, (((organization T_0) /\ ((age T_0 T) = (zero))) => (is_aligned T_0 T))) (-. (positional_advantage T_0 T_2)) (-. (greater (age T_0 T_2) (sigma))) (All X, (All T, (((organization X) /\ (-. (has_endowment X))) => (-. (has_immunity X T))))) (-. (has_endowment T_0)) ### All 260
% 42.44/42.68 262. (All X, (All T, ((organization X) => (((has_immunity X T) => ((hazard_of_mortality X T) = (very_low))) /\ ((-. (has_immunity X T)) => ((((is_aligned X T) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (low))) /\ ((((-. (is_aligned X T)) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (mod1))) /\ ((((is_aligned X T) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (mod2))) /\ (((-. (is_aligned X T)) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (high))))))))))) (-. (has_endowment T_0)) (All X, (All T, (((organization X) /\ (-. (has_endowment X))) => (-. (has_immunity X T))))) (-. (greater (age T_0 T_2) (sigma))) (-. (positional_advantage T_0 T_2)) (All T, (((organization T_0) /\ ((age T_0 T) = (zero))) => (is_aligned T_0 T))) (All T, (((smaller_or_equal (age T_0 T) (tau)) => (-. (positional_advantage T_0 T))) /\ ((greater (age T_0 T) (tau)) => (positional_advantage T_0 T)))) (greater (tau) (zero)) ((hazard_of_mortality T_0 T_2) != (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_1) = (zero)) (organization T_0) ### All 261
% 42.44/42.68 263. ((smaller_or_equal (age T_0 T_2) (tau)) => (-. (positional_advantage T_0 T_2))) (organization T_0) ((age T_0 T_1) = (zero)) (All X, (All T0, (All T, (((organization X) /\ ((age X T0) = (zero))) => ((greater (age X T) (sigma)) <=> (dissimilar X T0 T)))))) ((hazard_of_mortality T_0 T_2) != (hazard_of_mortality T_0 T_1)) (greater (tau) (zero)) (All T, (((smaller_or_equal (age T_0 T) (tau)) => (-. (positional_advantage T_0 T))) /\ ((greater (age T_0 T) (tau)) => (positional_advantage T_0 T)))) (All T, (((organization T_0) /\ ((age T_0 T) = (zero))) => (is_aligned T_0 T))) (-. (greater (age T_0 T_2) (sigma))) (All X, (All T, (((organization X) /\ (-. (has_endowment X))) => (-. (has_immunity X T))))) (-. (has_endowment T_0)) (All X, (All T, ((organization X) => (((has_immunity X T) => ((hazard_of_mortality X T) = (very_low))) /\ ((-. (has_immunity X T)) => ((((is_aligned X T) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (low))) /\ ((((-. (is_aligned X T)) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (mod1))) /\ ((((is_aligned X T) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (mod2))) /\ (((-. (is_aligned X T)) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (high))))))))))) (-. (greater (tau) (age T_0 T_2))) (-. (greater (age T_0 T_2) (tau))) (All X, (All Y, ((smaller X Y) \/ ((X = Y) \/ (greater X Y))))) ### Imply 208 262
% 42.52/42.68 264. (((smaller_or_equal (age T_0 T_2) (tau)) => (-. (positional_advantage T_0 T_2))) /\ ((greater (age T_0 T_2) (tau)) => (positional_advantage T_0 T_2))) (All X, (All Y, ((smaller X Y) \/ ((X = Y) \/ (greater X Y))))) (-. (greater (age T_0 T_2) (tau))) (-. (greater (tau) (age T_0 T_2))) (All X, (All T, ((organization X) => (((has_immunity X T) => ((hazard_of_mortality X T) = (very_low))) /\ ((-. (has_immunity X T)) => ((((is_aligned X T) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (low))) /\ ((((-. (is_aligned X T)) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (mod1))) /\ ((((is_aligned X T) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (mod2))) /\ (((-. (is_aligned X T)) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (high))))))))))) (-. (has_endowment T_0)) (All X, (All T, (((organization X) /\ (-. (has_endowment X))) => (-. (has_immunity X T))))) (-. (greater (age T_0 T_2) (sigma))) (All T, (((organization T_0) /\ ((age T_0 T) = (zero))) => (is_aligned T_0 T))) (All T, (((smaller_or_equal (age T_0 T) (tau)) => (-. (positional_advantage T_0 T))) /\ ((greater (age T_0 T) (tau)) => (positional_advantage T_0 T)))) (greater (tau) (zero)) ((hazard_of_mortality T_0 T_2) != (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_1) = (zero)) (organization T_0) ### And 263
% 42.52/42.68 265. (organization T_0) ((age T_0 T_1) = (zero)) (All X, (All T0, (All T, (((organization X) /\ ((age X T0) = (zero))) => ((greater (age X T) (sigma)) <=> (dissimilar X T0 T)))))) ((hazard_of_mortality T_0 T_2) != (hazard_of_mortality T_0 T_1)) (greater (tau) (zero)) (All T, (((smaller_or_equal (age T_0 T) (tau)) => (-. (positional_advantage T_0 T))) /\ ((greater (age T_0 T) (tau)) => (positional_advantage T_0 T)))) (All T, (((organization T_0) /\ ((age T_0 T) = (zero))) => (is_aligned T_0 T))) (-. (greater (age T_0 T_2) (sigma))) (All X, (All T, (((organization X) /\ (-. (has_endowment X))) => (-. (has_immunity X T))))) (-. (has_endowment T_0)) (All X, (All T, ((organization X) => (((has_immunity X T) => ((hazard_of_mortality X T) = (very_low))) /\ ((-. (has_immunity X T)) => ((((is_aligned X T) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (low))) /\ ((((-. (is_aligned X T)) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (mod1))) /\ ((((is_aligned X T) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (mod2))) /\ (((-. (is_aligned X T)) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (high))))))))))) (-. (greater (tau) (age T_0 T_2))) (-. (greater (age T_0 T_2) (tau))) (All X, (All Y, ((smaller X Y) \/ ((X = Y) \/ (greater X Y))))) ### All 264
% 42.52/42.68 266. (All X, (All T, (((organization X) /\ ((age X T) = (zero))) => (is_aligned X T)))) (All X, (All Y, ((smaller X Y) \/ ((X = Y) \/ (greater X Y))))) (-. (greater (age T_0 T_2) (tau))) (-. (greater (tau) (age T_0 T_2))) (All X, (All T, ((organization X) => (((has_immunity X T) => ((hazard_of_mortality X T) = (very_low))) /\ ((-. (has_immunity X T)) => ((((is_aligned X T) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (low))) /\ ((((-. (is_aligned X T)) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (mod1))) /\ ((((is_aligned X T) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (mod2))) /\ (((-. (is_aligned X T)) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (high))))))))))) (-. (has_endowment T_0)) (All X, (All T, (((organization X) /\ (-. (has_endowment X))) => (-. (has_immunity X T))))) (-. (greater (age T_0 T_2) (sigma))) (All T, (((smaller_or_equal (age T_0 T) (tau)) => (-. (positional_advantage T_0 T))) /\ ((greater (age T_0 T) (tau)) => (positional_advantage T_0 T)))) (greater (tau) (zero)) ((hazard_of_mortality T_0 T_2) != (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_1) = (zero)) (organization T_0) ### All 265
% 42.52/42.68 267. ((sigma) = (tau)) (organization T_0) ((age T_0 T_1) = (zero)) (All X, (All T0, (All T, (((organization X) /\ ((age X T0) = (zero))) => ((greater (age X T) (sigma)) <=> (dissimilar X T0 T)))))) ((hazard_of_mortality T_0 T_2) != (hazard_of_mortality T_0 T_1)) (greater (tau) (zero)) (All T, (((smaller_or_equal (age T_0 T) (tau)) => (-. (positional_advantage T_0 T))) /\ ((greater (age T_0 T) (tau)) => (positional_advantage T_0 T)))) (-. (greater (age T_0 T_2) (sigma))) (All X, (All T, (((organization X) /\ (-. (has_endowment X))) => (-. (has_immunity X T))))) (-. (has_endowment T_0)) (All X, (All T, ((organization X) => (((has_immunity X T) => ((hazard_of_mortality X T) = (very_low))) /\ ((-. (has_immunity X T)) => ((((is_aligned X T) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (low))) /\ ((((-. (is_aligned X T)) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (mod1))) /\ ((((is_aligned X T) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (mod2))) /\ (((-. (is_aligned X T)) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (high))))))))))) (All X, (All T, (((organization X) /\ ((age X T) = (zero))) => (is_aligned X T)))) (-. (greater (tau) (age T_0 T_2))) (All X, (All Y, ((smaller X Y) \/ ((X = Y) \/ (greater X Y))))) ### TransEq2 33 266 2
% 42.52/42.68 268. ((age T_0 T_2) = (sigma)) ((age T_0 T_2) != (sigma)) ### Axiom
% 42.52/42.68 269. (-. (greater (sigma) (sigma))) ((age T_0 T_2) = (sigma)) (All X, (All Y, ((smaller X Y) \/ ((X = Y) \/ (greater X Y))))) (-. (greater (tau) (age T_0 T_2))) (All X, (All T, (((organization X) /\ ((age X T) = (zero))) => (is_aligned X T)))) (All X, (All T, ((organization X) => (((has_immunity X T) => ((hazard_of_mortality X T) = (very_low))) /\ ((-. (has_immunity X T)) => ((((is_aligned X T) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (low))) /\ ((((-. (is_aligned X T)) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (mod1))) /\ ((((is_aligned X T) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (mod2))) /\ (((-. (is_aligned X T)) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (high))))))))))) (-. (has_endowment T_0)) (All X, (All T, (((organization X) /\ (-. (has_endowment X))) => (-. (has_immunity X T))))) (All T, (((smaller_or_equal (age T_0 T) (tau)) => (-. (positional_advantage T_0 T))) /\ ((greater (age T_0 T) (tau)) => (positional_advantage T_0 T)))) (greater (tau) (zero)) ((hazard_of_mortality T_0 T_2) != (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_1) = (zero)) (organization T_0) ((sigma) = (tau)) ### TransEq2 2 267 268
% 42.52/42.68 270. (-. (greater (tau) (sigma))) (organization T_0) ((age T_0 T_1) = (zero)) (All X, (All T0, (All T, (((organization X) /\ ((age X T0) = (zero))) => ((greater (age X T) (sigma)) <=> (dissimilar X T0 T)))))) ((hazard_of_mortality T_0 T_2) != (hazard_of_mortality T_0 T_1)) (greater (tau) (zero)) (All T, (((smaller_or_equal (age T_0 T) (tau)) => (-. (positional_advantage T_0 T))) /\ ((greater (age T_0 T) (tau)) => (positional_advantage T_0 T)))) (All X, (All T, (((organization X) /\ (-. (has_endowment X))) => (-. (has_immunity X T))))) (-. (has_endowment T_0)) (All X, (All T, ((organization X) => (((has_immunity X T) => ((hazard_of_mortality X T) = (very_low))) /\ ((-. (has_immunity X T)) => ((((is_aligned X T) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (low))) /\ ((((-. (is_aligned X T)) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (mod1))) /\ ((((is_aligned X T) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (mod2))) /\ (((-. (is_aligned X T)) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (high))))))))))) (All X, (All T, (((organization X) /\ ((age X T) = (zero))) => (is_aligned X T)))) (All X, (All Y, ((smaller X Y) \/ ((X = Y) \/ (greater X Y))))) (-. (greater (sigma) (sigma))) ((age T_0 T_2) = (sigma)) ((sigma) = (tau)) ### TransEq 199 269 2
% 42.55/42.69 271. ((sigma) = (tau)) ((tau) != (sigma)) ### Sym(=)
% 42.55/42.69 272. ((sigma) = (tau)) ((age T_0 T_2) = (sigma)) (-. (greater (sigma) (sigma))) (All X, (All Y, ((smaller X Y) \/ ((X = Y) \/ (greater X Y))))) (All X, (All T, (((organization X) /\ ((age X T) = (zero))) => (is_aligned X T)))) (All X, (All T, ((organization X) => (((has_immunity X T) => ((hazard_of_mortality X T) = (very_low))) /\ ((-. (has_immunity X T)) => ((((is_aligned X T) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (low))) /\ ((((-. (is_aligned X T)) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (mod1))) /\ ((((is_aligned X T) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (mod2))) /\ (((-. (is_aligned X T)) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (high))))))))))) (-. (has_endowment T_0)) (All X, (All T, (((organization X) /\ (-. (has_endowment X))) => (-. (has_immunity X T))))) (All T, (((smaller_or_equal (age T_0 T) (tau)) => (-. (positional_advantage T_0 T))) /\ ((greater (age T_0 T) (tau)) => (positional_advantage T_0 T)))) (greater (tau) (zero)) ((hazard_of_mortality T_0 T_2) != (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_1) = (zero)) (organization T_0) ### TransEq 2 270 271
% 42.55/42.69 273. (-. (greater (sigma) (tau))) (organization T_0) ((age T_0 T_1) = (zero)) (All X, (All T0, (All T, (((organization X) /\ ((age X T0) = (zero))) => ((greater (age X T) (sigma)) <=> (dissimilar X T0 T)))))) ((hazard_of_mortality T_0 T_2) != (hazard_of_mortality T_0 T_1)) (greater (tau) (zero)) (All T, (((smaller_or_equal (age T_0 T) (tau)) => (-. (positional_advantage T_0 T))) /\ ((greater (age T_0 T) (tau)) => (positional_advantage T_0 T)))) (All X, (All T, (((organization X) /\ (-. (has_endowment X))) => (-. (has_immunity X T))))) (-. (has_endowment T_0)) (All X, (All T, ((organization X) => (((has_immunity X T) => ((hazard_of_mortality X T) = (very_low))) /\ ((-. (has_immunity X T)) => ((((is_aligned X T) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (low))) /\ ((((-. (is_aligned X T)) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (mod1))) /\ ((((is_aligned X T) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (mod2))) /\ (((-. (is_aligned X T)) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (high))))))))))) (All X, (All T, (((organization X) /\ ((age X T) = (zero))) => (is_aligned X T)))) (All X, (All Y, ((smaller X Y) \/ ((X = Y) \/ (greater X Y))))) ((age T_0 T_2) = (sigma)) ((sigma) = (tau)) ### TransEq 272 272 1
% 42.55/42.69 274. ((sigma) = (tau)) ((sigma) != (tau)) ### Axiom
% 42.55/42.69 275. (-. (greater (tau) (tau))) ((sigma) = (tau)) ((age T_0 T_2) = (sigma)) (All X, (All Y, ((smaller X Y) \/ ((X = Y) \/ (greater X Y))))) (All X, (All T, (((organization X) /\ ((age X T) = (zero))) => (is_aligned X T)))) (All X, (All T, ((organization X) => (((has_immunity X T) => ((hazard_of_mortality X T) = (very_low))) /\ ((-. (has_immunity X T)) => ((((is_aligned X T) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (low))) /\ ((((-. (is_aligned X T)) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (mod1))) /\ ((((is_aligned X T) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (mod2))) /\ (((-. (is_aligned X T)) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (high))))))))))) (-. (has_endowment T_0)) (All X, (All T, (((organization X) /\ (-. (has_endowment X))) => (-. (has_immunity X T))))) (All T, (((smaller_or_equal (age T_0 T) (tau)) => (-. (positional_advantage T_0 T))) /\ ((greater (age T_0 T) (tau)) => (positional_advantage T_0 T)))) (greater (tau) (zero)) ((hazard_of_mortality T_0 T_2) != (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_1) = (zero)) (organization T_0) ### TransEq2 1 273 274
% 42.55/42.69 276. (-. (greater (tau) (sigma))) (organization T_0) ((age T_0 T_1) = (zero)) (All X, (All T0, (All T, (((organization X) /\ ((age X T0) = (zero))) => ((greater (age X T) (sigma)) <=> (dissimilar X T0 T)))))) ((hazard_of_mortality T_0 T_2) != (hazard_of_mortality T_0 T_1)) (greater (tau) (zero)) (All T, (((smaller_or_equal (age T_0 T) (tau)) => (-. (positional_advantage T_0 T))) /\ ((greater (age T_0 T) (tau)) => (positional_advantage T_0 T)))) (All X, (All T, (((organization X) /\ (-. (has_endowment X))) => (-. (has_immunity X T))))) (-. (has_endowment T_0)) (All X, (All T, ((organization X) => (((has_immunity X T) => ((hazard_of_mortality X T) = (very_low))) /\ ((-. (has_immunity X T)) => ((((is_aligned X T) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (low))) /\ ((((-. (is_aligned X T)) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (mod1))) /\ ((((is_aligned X T) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (mod2))) /\ (((-. (is_aligned X T)) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (high))))))))))) (All X, (All T, (((organization X) /\ ((age X T) = (zero))) => (is_aligned X T)))) (All X, (All Y, ((smaller X Y) \/ ((X = Y) \/ (greater X Y))))) ((age T_0 T_2) = (sigma)) ((sigma) = (tau)) ### TransEq2 1 275 272
% 42.55/42.69 277. (-. ((greater (sigma) (tau)) /\ (greater (tau) (sigma)))) ((sigma) = (tau)) ((age T_0 T_2) = (sigma)) (All X, (All Y, ((smaller X Y) \/ ((X = Y) \/ (greater X Y))))) (All X, (All T, (((organization X) /\ ((age X T) = (zero))) => (is_aligned X T)))) (All X, (All T, ((organization X) => (((has_immunity X T) => ((hazard_of_mortality X T) = (very_low))) /\ ((-. (has_immunity X T)) => ((((is_aligned X T) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (low))) /\ ((((-. (is_aligned X T)) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (mod1))) /\ ((((is_aligned X T) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (mod2))) /\ (((-. (is_aligned X T)) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (high))))))))))) (-. (has_endowment T_0)) (All X, (All T, (((organization X) /\ (-. (has_endowment X))) => (-. (has_immunity X T))))) (All T, (((smaller_or_equal (age T_0 T) (tau)) => (-. (positional_advantage T_0 T))) /\ ((greater (age T_0 T) (tau)) => (positional_advantage T_0 T)))) (greater (tau) (zero)) ((hazard_of_mortality T_0 T_2) != (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_1) = (zero)) (organization T_0) ### NotAnd 273 276
% 42.55/42.69 278. (All Y, (-. ((greater (sigma) Y) /\ (greater Y (sigma))))) (organization T_0) ((age T_0 T_1) = (zero)) (All X, (All T0, (All T, (((organization X) /\ ((age X T0) = (zero))) => ((greater (age X T) (sigma)) <=> (dissimilar X T0 T)))))) ((hazard_of_mortality T_0 T_2) != (hazard_of_mortality T_0 T_1)) (greater (tau) (zero)) (All T, (((smaller_or_equal (age T_0 T) (tau)) => (-. (positional_advantage T_0 T))) /\ ((greater (age T_0 T) (tau)) => (positional_advantage T_0 T)))) (All X, (All T, (((organization X) /\ (-. (has_endowment X))) => (-. (has_immunity X T))))) (-. (has_endowment T_0)) (All X, (All T, ((organization X) => (((has_immunity X T) => ((hazard_of_mortality X T) = (very_low))) /\ ((-. (has_immunity X T)) => ((((is_aligned X T) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (low))) /\ ((((-. (is_aligned X T)) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (mod1))) /\ ((((is_aligned X T) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (mod2))) /\ (((-. (is_aligned X T)) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (high))))))))))) (All X, (All T, (((organization X) /\ ((age X T) = (zero))) => (is_aligned X T)))) (All X, (All Y, ((smaller X Y) \/ ((X = Y) \/ (greater X Y))))) ((age T_0 T_2) = (sigma)) ((sigma) = (tau)) ### All 277
% 42.55/42.69 279. (All X, (All Y, (-. ((greater X Y) /\ (greater Y X))))) ((sigma) = (tau)) ((age T_0 T_2) = (sigma)) (All X, (All Y, ((smaller X Y) \/ ((X = Y) \/ (greater X Y))))) (All X, (All T, (((organization X) /\ ((age X T) = (zero))) => (is_aligned X T)))) (All X, (All T, ((organization X) => (((has_immunity X T) => ((hazard_of_mortality X T) = (very_low))) /\ ((-. (has_immunity X T)) => ((((is_aligned X T) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (low))) /\ ((((-. (is_aligned X T)) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (mod1))) /\ ((((is_aligned X T) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (mod2))) /\ (((-. (is_aligned X T)) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (high))))))))))) (-. (has_endowment T_0)) (All X, (All T, (((organization X) /\ (-. (has_endowment X))) => (-. (has_immunity X T))))) (All T, (((smaller_or_equal (age T_0 T) (tau)) => (-. (positional_advantage T_0 T))) /\ ((greater (age T_0 T) (tau)) => (positional_advantage T_0 T)))) (greater (tau) (zero)) ((hazard_of_mortality T_0 T_2) != (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_1) = (zero)) (organization T_0) ### All 278
% 42.55/42.69 280. (-. ((smaller (hazard_of_mortality T_0 T_3) (hazard_of_mortality T_0 T_2)) /\ ((hazard_of_mortality T_0 T_2) = (hazard_of_mortality T_0 T_1)))) (All X, (All Y, (-. ((greater X Y) /\ (greater Y X))))) (-. (has_endowment T_0)) (All X, (All T, (((organization X) /\ (-. (has_endowment X))) => (-. (has_immunity X T))))) (All T, (((smaller_or_equal (age T_0 T) (tau)) => (-. (positional_advantage T_0 T))) /\ ((greater (age T_0 T) (tau)) => (positional_advantage T_0 T)))) (greater (tau) (zero)) (greater (mod2) (mod1)) (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_3) (sigma)) (All X, (All T, (((organization X) /\ ((age X T) = (zero))) => (is_aligned X T)))) (All X, (All T, ((organization X) => (((has_immunity X T) => ((hazard_of_mortality X T) = (very_low))) /\ ((-. (has_immunity X T)) => ((((is_aligned X T) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (low))) /\ ((((-. (is_aligned X T)) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (mod1))) /\ ((((is_aligned X T) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (mod2))) /\ (((-. (is_aligned X T)) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (high))))))))))) ((age T_0 T_1) = (zero)) (organization T_0) (All X, (All Y, ((smaller X Y) \/ ((X = Y) \/ (greater X Y))))) ((age T_0 T_2) = (sigma)) ((sigma) = (tau)) ### NotAnd 256 279
% 42.55/42.69 281. ((smaller (age T_0 T_2) (sigma)) \/ ((age T_0 T_2) = (sigma))) (-. ((smaller (hazard_of_mortality T_0 T_3) (hazard_of_mortality T_0 T_2)) /\ ((hazard_of_mortality T_0 T_2) = (hazard_of_mortality T_0 T_1)))) (All X, (All T, ((organization X) => (((has_immunity X T) => ((hazard_of_mortality X T) = (very_low))) /\ ((-. (has_immunity X T)) => ((((is_aligned X T) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (low))) /\ ((((-. (is_aligned X T)) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (mod1))) /\ ((((is_aligned X T) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (mod2))) /\ (((-. (is_aligned X T)) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (high))))))))))) (All X, (All Y, ((smaller X Y) \/ ((X = Y) \/ (greater X Y))))) (All X, (All T, (((organization X) /\ ((age X T) = (zero))) => (is_aligned X T)))) ((sigma) = (tau)) (greater (age T_0 T_3) (sigma)) (All X, (All T0, (All T, (((organization X) /\ ((age X T0) = (zero))) => ((greater (age X T) (sigma)) <=> (dissimilar X T0 T)))))) (greater (mod2) (mod1)) (greater (tau) (zero)) (All T, (((smaller_or_equal (age T_0 T) (tau)) => (-. (positional_advantage T_0 T))) /\ ((greater (age T_0 T) (tau)) => (positional_advantage T_0 T)))) (All X, (All T, (((organization X) /\ (-. (has_endowment X))) => (-. (has_immunity X T))))) (-. (has_endowment T_0)) ((age T_0 T_1) = (zero)) (organization T_0) (All X, (All Y, (-. ((greater X Y) /\ (greater Y X))))) ### Or 197 280
% 42.55/42.69 282. (smaller_or_equal (age T_0 T_2) (sigma)) (All X, (All Y, (-. ((greater X Y) /\ (greater Y X))))) (organization T_0) ((age T_0 T_1) = (zero)) (-. (has_endowment T_0)) (All X, (All T, (((organization X) /\ (-. (has_endowment X))) => (-. (has_immunity X T))))) (All T, (((smaller_or_equal (age T_0 T) (tau)) => (-. (positional_advantage T_0 T))) /\ ((greater (age T_0 T) (tau)) => (positional_advantage T_0 T)))) (greater (tau) (zero)) (greater (mod2) (mod1)) (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_3) (sigma)) ((sigma) = (tau)) (All X, (All T, (((organization X) /\ ((age X T) = (zero))) => (is_aligned X T)))) (All X, (All Y, ((smaller X Y) \/ ((X = Y) \/ (greater X Y))))) (All X, (All T, ((organization X) => (((has_immunity X T) => ((hazard_of_mortality X T) = (very_low))) /\ ((-. (has_immunity X T)) => ((((is_aligned X T) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (low))) /\ ((((-. (is_aligned X T)) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (mod1))) /\ ((((is_aligned X T) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (mod2))) /\ (((-. (is_aligned X T)) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (high))))))))))) (-. ((smaller (hazard_of_mortality T_0 T_3) (hazard_of_mortality T_0 T_2)) /\ ((hazard_of_mortality T_0 T_2) = (hazard_of_mortality T_0 T_1)))) ### Definition-Pseudo(smaller_or_equal) 281
% 42.55/42.69 283. (robust_position T_0) (-. ((smaller (hazard_of_mortality T_0 T_3) (hazard_of_mortality T_0 T_2)) /\ ((hazard_of_mortality T_0 T_2) = (hazard_of_mortality T_0 T_1)))) (All X, (All T, ((organization X) => (((has_immunity X T) => ((hazard_of_mortality X T) = (very_low))) /\ ((-. (has_immunity X T)) => ((((is_aligned X T) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (low))) /\ ((((-. (is_aligned X T)) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (mod1))) /\ ((((is_aligned X T) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (mod2))) /\ (((-. (is_aligned X T)) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (high))))))))))) (All X, (All Y, ((smaller X Y) \/ ((X = Y) \/ (greater X Y))))) (All X, (All T, (((organization X) /\ ((age X T) = (zero))) => (is_aligned X T)))) ((sigma) = (tau)) (greater (age T_0 T_3) (sigma)) (All X, (All T0, (All T, (((organization X) /\ ((age X T0) = (zero))) => ((greater (age X T) (sigma)) <=> (dissimilar X T0 T)))))) (greater (mod2) (mod1)) (greater (tau) (zero)) (All X, (All T, (((organization X) /\ (-. (has_endowment X))) => (-. (has_immunity X T))))) (-. (has_endowment T_0)) ((age T_0 T_1) = (zero)) (organization T_0) (All X, (All Y, (-. ((greater X Y) /\ (greater Y X))))) (smaller_or_equal (age T_0 T_2) (sigma)) ### Definition-Pseudo(robust_position) 282
% 42.55/42.69 284. (-. (((organization T_0) /\ ((robust_position T_0) /\ ((-. (has_endowment T_0)) /\ (((age T_0 T_1) = (zero)) /\ ((greater (sigma) (zero)) /\ ((greater (tau) (zero)) /\ (((sigma) = (tau)) /\ ((smaller_or_equal (age T_0 T_2) (sigma)) /\ (greater (age T_0 T_3) (sigma)))))))))) => ((smaller (hazard_of_mortality T_0 T_3) (hazard_of_mortality T_0 T_2)) /\ ((hazard_of_mortality T_0 T_2) = (hazard_of_mortality T_0 T_1))))) (All X, (All Y, (-. ((greater X Y) /\ (greater Y X))))) (All X, (All T, (((organization X) /\ (-. (has_endowment X))) => (-. (has_immunity X T))))) (greater (mod2) (mod1)) (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)))) (All X, (All Y, ((smaller X Y) \/ ((X = Y) \/ (greater X Y))))) (All X, (All T, ((organization X) => (((has_immunity X T) => ((hazard_of_mortality X T) = (very_low))) /\ ((-. (has_immunity X T)) => ((((is_aligned X T) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (low))) /\ ((((-. (is_aligned X T)) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (mod1))) /\ ((((is_aligned X T) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (mod2))) /\ (((-. (is_aligned X T)) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (high))))))))))) ### ConjTree 283
% 42.55/42.69 285. (-. (All T2, (((organization T_0) /\ ((robust_position T_0) /\ ((-. (has_endowment T_0)) /\ (((age T_0 T_1) = (zero)) /\ ((greater (sigma) (zero)) /\ ((greater (tau) (zero)) /\ (((sigma) = (tau)) /\ ((smaller_or_equal (age T_0 T_2) (sigma)) /\ (greater (age T_0 T2) (sigma)))))))))) => ((smaller (hazard_of_mortality T_0 T2) (hazard_of_mortality T_0 T_2)) /\ ((hazard_of_mortality T_0 T_2) = (hazard_of_mortality T_0 T_1)))))) (All X, (All T, ((organization X) => (((has_immunity X T) => ((hazard_of_mortality X T) = (very_low))) /\ ((-. (has_immunity X T)) => ((((is_aligned X T) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (low))) /\ ((((-. (is_aligned X T)) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (mod1))) /\ ((((is_aligned X T) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (mod2))) /\ (((-. (is_aligned X T)) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (high))))))))))) (All X, (All Y, ((smaller X Y) \/ ((X = Y) \/ (greater X Y))))) (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)))))) (greater (mod2) (mod1)) (All X, (All T, (((organization X) /\ (-. (has_endowment X))) => (-. (has_immunity X T))))) (All X, (All Y, (-. ((greater X Y) /\ (greater Y X))))) ### NotAllEx 284
% 42.55/42.69 286. (-. (All T1, (All T2, (((organization T_0) /\ ((robust_position T_0) /\ ((-. (has_endowment T_0)) /\ (((age T_0 T_1) = (zero)) /\ ((greater (sigma) (zero)) /\ ((greater (tau) (zero)) /\ (((sigma) = (tau)) /\ ((smaller_or_equal (age T_0 T1) (sigma)) /\ (greater (age T_0 T2) (sigma)))))))))) => ((smaller (hazard_of_mortality T_0 T2) (hazard_of_mortality T_0 T1)) /\ ((hazard_of_mortality T_0 T1) = (hazard_of_mortality T_0 T_1))))))) (All X, (All Y, (-. ((greater X Y) /\ (greater Y X))))) (All X, (All T, (((organization X) /\ (-. (has_endowment X))) => (-. (has_immunity X T))))) (greater (mod2) (mod1)) (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)))) (All X, (All Y, ((smaller X Y) \/ ((X = Y) \/ (greater X Y))))) (All X, (All T, ((organization X) => (((has_immunity X T) => ((hazard_of_mortality X T) = (very_low))) /\ ((-. (has_immunity X T)) => ((((is_aligned X T) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (low))) /\ ((((-. (is_aligned X T)) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (mod1))) /\ ((((is_aligned X T) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (mod2))) /\ (((-. (is_aligned X T)) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (high))))))))))) ### NotAllEx 285
% 42.55/42.69 287. (-. (All T0, (All T1, (All T2, (((organization T_0) /\ ((robust_position T_0) /\ ((-. (has_endowment T_0)) /\ (((age T_0 T0) = (zero)) /\ ((greater (sigma) (zero)) /\ ((greater (tau) (zero)) /\ (((sigma) = (tau)) /\ ((smaller_or_equal (age T_0 T1) (sigma)) /\ (greater (age T_0 T2) (sigma)))))))))) => ((smaller (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 T, ((organization X) => (((has_immunity X T) => ((hazard_of_mortality X T) = (very_low))) /\ ((-. (has_immunity X T)) => ((((is_aligned X T) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (low))) /\ ((((-. (is_aligned X T)) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (mod1))) /\ ((((is_aligned X T) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (mod2))) /\ (((-. (is_aligned X T)) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (high))))))))))) (All X, (All Y, ((smaller X Y) \/ ((X = Y) \/ (greater X Y))))) (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)))))) (greater (mod2) (mod1)) (All X, (All T, (((organization X) /\ (-. (has_endowment X))) => (-. (has_immunity X T))))) (All X, (All Y, (-. ((greater X Y) /\ (greater Y X))))) ### NotAllEx 286
% 42.55/42.69 288. (-. (All X, (All T0, (All T1, (All T2, (((organization X) /\ ((robust_position X) /\ ((-. (has_endowment X)) /\ (((age X T0) = (zero)) /\ ((greater (sigma) (zero)) /\ ((greater (tau) (zero)) /\ (((sigma) = (tau)) /\ ((smaller_or_equal (age X T1) (sigma)) /\ (greater (age X T2) (sigma)))))))))) => ((smaller (hazard_of_mortality X T2) (hazard_of_mortality X T1)) /\ ((hazard_of_mortality X T1) = (hazard_of_mortality X T0))))))))) (All X, (All Y, (-. ((greater X Y) /\ (greater Y X))))) (All X, (All T, (((organization X) /\ (-. (has_endowment X))) => (-. (has_immunity X T))))) (greater (mod2) (mod1)) (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)))) (All X, (All Y, ((smaller X Y) \/ ((X = Y) \/ (greater X Y))))) (All X, (All T, ((organization X) => (((has_immunity X T) => ((hazard_of_mortality X T) = (very_low))) /\ ((-. (has_immunity X T)) => ((((is_aligned X T) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (low))) /\ ((((-. (is_aligned X T)) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (mod1))) /\ ((((is_aligned X T) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (mod2))) /\ (((-. (is_aligned X T)) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (high))))))))))) ### NotAllEx 287
% 42.55/42.69 % SZS output end Proof
% 42.55/42.69 (* END-PROOF *)
%------------------------------------------------------------------------------