TSTP Solution File: MGT061+1 by SuperZenon---0.0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SuperZenon---0.0.1
% Problem : MGT061+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 : n022.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 55.53s 55.78s
% Output : Proof 55.84s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : MGT061+1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.13 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s
% 0.14/0.34 % Computer : n022.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % 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 11:50:04 EDT 2022
% 0.14/0.34 % CPUTime :
% 55.53/55.78 % SZS status Theorem
% 55.53/55.78 (* PROOF-FOUND *)
% 55.53/55.78 (* BEGIN-PROOF *)
% 55.53/55.78 % SZS output start Proof
% 55.53/55.78 1. (greater (sigma) (age T_0 T_1)) (-. (greater (sigma) (age T_0 T_1))) ### Axiom
% 55.53/55.78 2. (-. (smaller (age T_0 T_1) (sigma))) (greater (sigma) (age T_0 T_1)) ### Definition-Pseudo(smaller) 1
% 55.53/55.78 3. (-. ((smaller (age T_0 T_1) (sigma)) \/ ((age T_0 T_1) = (sigma)))) (greater (sigma) (age T_0 T_1)) ### NotOr 2
% 55.53/55.78 4. (-. (smaller_or_equal (age T_0 T_1) (sigma))) (greater (sigma) (age T_0 T_1)) ### Definition-Pseudo(smaller_or_equal) 3
% 55.53/55.78 5. (organization T_0) (-. (organization T_0)) ### Axiom
% 55.53/55.78 6. ((age T_0 T_2) = (zero)) ((age T_0 T_2) != (zero)) ### Axiom
% 55.53/55.78 7. (organization T_0) (-. (organization T_0)) ### Axiom
% 55.53/55.78 8. (organization T_0) (-. (organization T_0)) ### Axiom
% 55.53/55.78 9. (-. (has_endowment T_0)) (has_endowment T_0) ### Axiom
% 55.53/55.78 10. (has_immunity T_0 T_1) (-. (has_immunity T_0 T_1)) ### Axiom
% 55.53/55.78 11. (((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 8 9 10
% 55.53/55.78 12. (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 11
% 55.53/55.78 13. (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 12
% 55.53/55.78 14. (-. (-. (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 13
% 55.53/55.78 15. (organization T_0) (-. (organization T_0)) ### Axiom
% 55.53/55.78 16. ((age T_0 T_2) = (zero)) ((age T_0 T_2) != (zero)) ### Axiom
% 55.53/55.78 17. (organization T_0) (-. (organization T_0)) ### Axiom
% 55.53/55.78 18. (is_aligned T_0 T_2) (-. (is_aligned T_0 T_2)) ### Axiom
% 55.53/55.78 19. (-. (is_aligned T_0 T_1)) (is_aligned T_0 T_1) ### Axiom
% 55.53/55.78 20. ((is_aligned T_0 T_2) <=> (is_aligned T_0 T_1)) (-. (is_aligned T_0 T_1)) (is_aligned T_0 T_2) ### Equiv 18 19
% 55.53/55.78 21. (-. (-. ((is_aligned T_0 T_2) <=> (is_aligned T_0 T_1)))) (is_aligned T_0 T_2) (-. (is_aligned T_0 T_1)) ### NotNot 20
% 55.53/55.78 22. (-. ((organization T_0) /\ (-. ((is_aligned T_0 T_2) <=> (is_aligned T_0 T_1))))) (-. (is_aligned T_0 T_1)) (is_aligned T_0 T_2) (organization T_0) ### NotAnd 17 21
% 55.53/55.78 23. (-. (dissimilar T_0 T_2 T_1)) (organization T_0) (is_aligned T_0 T_2) (-. (is_aligned T_0 T_1)) ### Definition-Pseudo(dissimilar) 22
% 55.53/55.78 24. (-. (greater (age T_0 T_1) (sigma))) (greater (age T_0 T_1) (sigma)) ### Axiom
% 55.53/55.78 25. ((greater (age T_0 T_1) (sigma)) <=> (dissimilar T_0 T_2 T_1)) (-. (greater (age T_0 T_1) (sigma))) (-. (is_aligned T_0 T_1)) (is_aligned T_0 T_2) (organization T_0) ### Equiv 23 24
% 55.53/55.78 26. (((organization T_0) /\ ((age T_0 T_2) = (zero))) => ((greater (age T_0 T_1) (sigma)) <=> (dissimilar T_0 T_2 T_1))) (is_aligned T_0 T_2) (-. (is_aligned T_0 T_1)) (-. (greater (age T_0 T_1) (sigma))) ((age T_0 T_2) = (zero)) (organization T_0) ### DisjTree 15 16 25
% 55.53/55.78 27. (All T, (((organization T_0) /\ ((age T_0 T_2) = (zero))) => ((greater (age T_0 T) (sigma)) <=> (dissimilar T_0 T_2 T)))) (organization T_0) ((age T_0 T_2) = (zero)) (-. (greater (age T_0 T_1) (sigma))) (-. (is_aligned T_0 T_1)) (is_aligned T_0 T_2) ### All 26
% 55.53/55.78 28. (All T0, (All T, (((organization T_0) /\ ((age T_0 T0) = (zero))) => ((greater (age T_0 T) (sigma)) <=> (dissimilar T_0 T0 T))))) (is_aligned T_0 T_2) (-. (is_aligned T_0 T_1)) (-. (greater (age T_0 T_1) (sigma))) ((age T_0 T_2) = (zero)) (organization T_0) ### All 27
% 55.53/55.78 29. (All X, (All T0, (All T, (((organization X) /\ ((age X T0) = (zero))) => ((greater (age X T) (sigma)) <=> (dissimilar X T0 T)))))) (organization T_0) ((age T_0 T_2) = (zero)) (-. (greater (age T_0 T_1) (sigma))) (-. (is_aligned T_0 T_1)) (is_aligned T_0 T_2) ### All 28
% 55.53/55.78 30. (positional_advantage T_0 T_1) (-. (positional_advantage T_0 T_1)) ### Axiom
% 55.53/55.78 31. (greater (age T_0 T_3) (sigma)) (-. (greater (age T_0 T_3) (sigma))) ### Axiom
% 55.53/55.78 32. (organization T_0) (-. (organization T_0)) ### Axiom
% 55.53/55.78 33. (organization T_0) (-. (organization T_0)) ### Axiom
% 55.53/55.78 34. (-. (has_endowment T_0)) (has_endowment T_0) ### Axiom
% 55.53/55.78 35. (has_immunity T_0 T_3) (-. (has_immunity T_0 T_3)) ### Axiom
% 55.53/55.78 36. (((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 33 34 35
% 55.53/55.78 37. (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 36
% 55.53/55.78 38. (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 37
% 55.53/55.78 39. (-. (-. (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 38
% 55.53/55.78 40. (-. (is_aligned T_0 T_3)) (is_aligned T_0 T_3) ### Axiom
% 55.53/55.78 41. (-. (positional_advantage T_0 T_3)) (positional_advantage T_0 T_3) ### Axiom
% 55.53/55.78 42. ((hazard_of_mortality T_0 T_3) != (high)) ((hazard_of_mortality T_0 T_3) = (high)) ### Axiom
% 55.53/55.78 43. (((-. (is_aligned T_0 T_3)) /\ (-. (positional_advantage T_0 T_3))) => ((hazard_of_mortality T_0 T_3) = (high))) ((hazard_of_mortality T_0 T_3) != (high)) (-. (positional_advantage T_0 T_3)) (-. (is_aligned T_0 T_3)) ### DisjTree 40 41 42
% 55.53/55.78 44. (-. (positional_advantage T_0 T_3)) (positional_advantage T_0 T_3) ### Axiom
% 55.53/55.78 45. ((hazard_of_mortality T_0 T_3) != (mod2)) ((hazard_of_mortality T_0 T_3) = (mod2)) ### Axiom
% 55.53/55.78 46. (((is_aligned T_0 T_3) /\ (-. (positional_advantage T_0 T_3))) => ((hazard_of_mortality T_0 T_3) = (mod2))) ((hazard_of_mortality T_0 T_3) != (mod2)) (-. (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))) => ((hazard_of_mortality T_0 T_3) = (high))) ### DisjTree 43 44 45
% 55.53/55.78 47. ((((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)))))) ((hazard_of_mortality T_0 T_3) != (high)) (-. (positional_advantage T_0 T_3)) ((hazard_of_mortality T_0 T_3) != (mod2)) ### ConjTree 46
% 55.53/55.78 48. ((-. (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))))))) ((hazard_of_mortality T_0 T_3) != (mod2)) (-. (positional_advantage T_0 T_3)) ((hazard_of_mortality T_0 T_3) != (high)) (All X, (All T, (((organization X) /\ (-. (has_endowment X))) => (-. (has_immunity X T))))) (-. (has_endowment T_0)) (organization T_0) ### Imply 39 47
% 55.53/55.78 49. (((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))))) ((hazard_of_mortality T_0 T_3) != (high)) (-. (positional_advantage T_0 T_3)) ((hazard_of_mortality T_0 T_3) != (mod2)) ### And 48
% 55.53/55.78 50. ((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))))))))) ((hazard_of_mortality T_0 T_3) != (mod2)) (-. (positional_advantage T_0 T_3)) ((hazard_of_mortality T_0 T_3) != (high)) (All X, (All T, (((organization X) /\ (-. (has_endowment X))) => (-. (has_immunity X T))))) (-. (has_endowment T_0)) (organization T_0) ### Imply 32 49
% 55.73/55.95 51. (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))))) ((hazard_of_mortality T_0 T_3) != (high)) (-. (positional_advantage T_0 T_3)) ((hazard_of_mortality T_0 T_3) != (mod2)) ### All 50
% 55.73/55.95 52. ((greater (age T_0 T_3) (sigma)) => (-. (positional_advantage T_0 T_3))) ((hazard_of_mortality T_0 T_3) != (mod2)) ((hazard_of_mortality T_0 T_3) != (high)) (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)))))))))) (greater (age T_0 T_3) (sigma)) ### Imply 31 51
% 55.73/55.95 53. (((smaller_or_equal (age T_0 T_3) (sigma)) => (positional_advantage T_0 T_3)) /\ ((greater (age T_0 T_3) (sigma)) => (-. (positional_advantage T_0 T_3)))) (greater (age T_0 T_3) (sigma)) (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))))) ((hazard_of_mortality T_0 T_3) != (high)) ((hazard_of_mortality T_0 T_3) != (mod2)) ### And 52
% 55.73/55.95 54. (All T, (((smaller_or_equal (age T_0 T) (sigma)) => (positional_advantage T_0 T)) /\ ((greater (age T_0 T) (sigma)) => (-. (positional_advantage T_0 T))))) ((hazard_of_mortality T_0 T_3) != (mod2)) ((hazard_of_mortality T_0 T_3) != (high)) (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)))))))))) (greater (age T_0 T_3) (sigma)) ### All 53
% 55.73/55.95 55. ((low) != (low)) ### NotEqual
% 55.73/55.95 56. (-. (greater (hazard_of_mortality T_0 T_3) (low))) (greater (mod2) (low)) (greater (age T_0 T_3) (sigma)) (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))))) ((hazard_of_mortality T_0 T_3) != (high)) (All T, (((smaller_or_equal (age T_0 T) (sigma)) => (positional_advantage T_0 T)) /\ ((greater (age T_0 T) (sigma)) => (-. (positional_advantage T_0 T))))) ### Trans 54 55
% 55.73/55.95 57. ((mod1) != (mod1)) ### NotEqual
% 55.73/55.95 58. (-. (greater (hazard_of_mortality T_0 T_3) (mod1))) (greater (high) (mod1)) (All T, (((smaller_or_equal (age T_0 T) (sigma)) => (positional_advantage T_0 T)) /\ ((greater (age T_0 T) (sigma)) => (-. (positional_advantage T_0 T))))) (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)))))))))) (greater (age T_0 T_3) (sigma)) (greater (mod2) (low)) (-. (greater (hazard_of_mortality T_0 T_3) (low))) ### Trans 56 57
% 55.73/55.95 59. (greater (mod1) (low)) (-. (greater (hazard_of_mortality T_0 T_3) (low))) (greater (mod2) (low)) (greater (age T_0 T_3) (sigma)) (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))))) (All T, (((smaller_or_equal (age T_0 T) (sigma)) => (positional_advantage T_0 T)) /\ ((greater (age T_0 T) (sigma)) => (-. (positional_advantage T_0 T))))) (greater (high) (mod1)) ### Trans 58 55
% 55.73/55.95 60. ((hazard_of_mortality T_0 T_1) != (hazard_of_mortality T_0 T_1)) ### Refl(=)
% 55.73/55.95 61. (-. (greater (hazard_of_mortality T_0 T_3) (hazard_of_mortality T_0 T_1))) ((hazard_of_mortality T_0 T_1) = (low)) (greater (high) (mod1)) (All T, (((smaller_or_equal (age T_0 T) (sigma)) => (positional_advantage T_0 T)) /\ ((greater (age T_0 T) (sigma)) => (-. (positional_advantage T_0 T))))) (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)))))))))) (greater (age T_0 T_3) (sigma)) (greater (mod2) (low)) (greater (mod1) (low)) ### TransEq2 59 59 60
% 55.73/55.97 62. (((is_aligned T_0 T_1) /\ (positional_advantage T_0 T_1)) => ((hazard_of_mortality T_0 T_1) = (low))) (greater (mod1) (low)) (greater (mod2) (low)) (greater (age T_0 T_3) (sigma)) (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) (sigma)) => (positional_advantage T_0 T)) /\ ((greater (age T_0 T) (sigma)) => (-. (positional_advantage T_0 T))))) (greater (high) (mod1)) (-. (greater (hazard_of_mortality T_0 T_3) (hazard_of_mortality T_0 T_1))) (positional_advantage T_0 T_1) (is_aligned T_0 T_2) (-. (greater (age T_0 T_1) (sigma))) ((age T_0 T_2) = (zero)) (organization T_0) (All X, (All T0, (All T, (((organization X) /\ ((age X T0) = (zero))) => ((greater (age X T) (sigma)) <=> (dissimilar X T0 T)))))) ### DisjTree 29 30 61
% 55.73/55.97 63. ((((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 X, (All T0, (All T, (((organization X) /\ ((age X T0) = (zero))) => ((greater (age X T) (sigma)) <=> (dissimilar X T0 T)))))) (organization T_0) ((age T_0 T_2) = (zero)) (-. (greater (age T_0 T_1) (sigma))) (is_aligned T_0 T_2) (positional_advantage T_0 T_1) (-. (greater (hazard_of_mortality T_0 T_3) (hazard_of_mortality T_0 T_1))) (greater (high) (mod1)) (All T, (((smaller_or_equal (age T_0 T) (sigma)) => (positional_advantage T_0 T)) /\ ((greater (age T_0 T) (sigma)) => (-. (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)))))))))) (greater (age T_0 T_3) (sigma)) (greater (mod2) (low)) (greater (mod1) (low)) ### ConjTree 62
% 55.73/55.97 64. ((-. (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))))))) (greater (mod1) (low)) (greater (mod2) (low)) (greater (age T_0 T_3) (sigma)) (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) (sigma)) => (positional_advantage T_0 T)) /\ ((greater (age T_0 T) (sigma)) => (-. (positional_advantage T_0 T))))) (greater (high) (mod1)) (-. (greater (hazard_of_mortality T_0 T_3) (hazard_of_mortality T_0 T_1))) (positional_advantage T_0 T_1) (is_aligned T_0 T_2) (-. (greater (age T_0 T_1) (sigma))) ((age T_0 T_2) = (zero)) (All X, (All T0, (All T, (((organization X) /\ ((age X T0) = (zero))) => ((greater (age X T) (sigma)) <=> (dissimilar X T0 T)))))) (All X, (All T, (((organization X) /\ (-. (has_endowment X))) => (-. (has_immunity X T))))) (-. (has_endowment T_0)) (organization T_0) ### Imply 14 63
% 55.73/55.97 65. (((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))))) (All X, (All T0, (All T, (((organization X) /\ ((age X T0) = (zero))) => ((greater (age X T) (sigma)) <=> (dissimilar X T0 T)))))) ((age T_0 T_2) = (zero)) (-. (greater (age T_0 T_1) (sigma))) (is_aligned T_0 T_2) (positional_advantage T_0 T_1) (-. (greater (hazard_of_mortality T_0 T_3) (hazard_of_mortality T_0 T_1))) (greater (high) (mod1)) (All T, (((smaller_or_equal (age T_0 T) (sigma)) => (positional_advantage T_0 T)) /\ ((greater (age T_0 T) (sigma)) => (-. (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)))))))))) (greater (age T_0 T_3) (sigma)) (greater (mod2) (low)) (greater (mod1) (low)) ### And 64
% 55.73/55.97 66. ((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))))))))) (greater (mod1) (low)) (greater (mod2) (low)) (greater (age T_0 T_3) (sigma)) (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) (sigma)) => (positional_advantage T_0 T)) /\ ((greater (age T_0 T) (sigma)) => (-. (positional_advantage T_0 T))))) (greater (high) (mod1)) (-. (greater (hazard_of_mortality T_0 T_3) (hazard_of_mortality T_0 T_1))) (positional_advantage T_0 T_1) (is_aligned T_0 T_2) (-. (greater (age T_0 T_1) (sigma))) ((age T_0 T_2) = (zero)) (All X, (All T0, (All T, (((organization X) /\ ((age X T0) = (zero))) => ((greater (age X T) (sigma)) <=> (dissimilar X T0 T)))))) (All X, (All T, (((organization X) /\ (-. (has_endowment X))) => (-. (has_immunity X T))))) (-. (has_endowment T_0)) (organization T_0) ### Imply 7 65
% 55.73/55.99 67. (organization T_0) (-. (has_endowment T_0)) (All X, (All T, (((organization X) /\ (-. (has_endowment X))) => (-. (has_immunity X T))))) (All X, (All T0, (All T, (((organization X) /\ ((age X T0) = (zero))) => ((greater (age X T) (sigma)) <=> (dissimilar X T0 T)))))) ((age T_0 T_2) = (zero)) (-. (greater (age T_0 T_1) (sigma))) (is_aligned T_0 T_2) (positional_advantage T_0 T_1) (-. (greater (hazard_of_mortality T_0 T_3) (hazard_of_mortality T_0 T_1))) (greater (high) (mod1)) (All T, (((smaller_or_equal (age T_0 T) (sigma)) => (positional_advantage T_0 T)) /\ ((greater (age T_0 T) (sigma)) => (-. (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)))))))))) (greater (age T_0 T_3) (sigma)) (greater (mod2) (low)) (greater (mod1) (low)) ### All 66
% 55.73/55.99 68. (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 (mod1) (low)) (greater (mod2) (low)) (greater (age T_0 T_3) (sigma)) (All T, (((smaller_or_equal (age T_0 T) (sigma)) => (positional_advantage T_0 T)) /\ ((greater (age T_0 T) (sigma)) => (-. (positional_advantage T_0 T))))) (greater (high) (mod1)) (-. (greater (hazard_of_mortality T_0 T_3) (hazard_of_mortality T_0 T_1))) (positional_advantage T_0 T_1) (is_aligned T_0 T_2) (-. (greater (age T_0 T_1) (sigma))) ((age T_0 T_2) = (zero)) (All X, (All T0, (All T, (((organization X) /\ ((age X T0) = (zero))) => ((greater (age X T) (sigma)) <=> (dissimilar X T0 T)))))) (All X, (All T, (((organization X) /\ (-. (has_endowment X))) => (-. (has_immunity X T))))) (-. (has_endowment T_0)) (organization T_0) ### All 67
% 55.73/55.99 69. (((organization T_0) /\ ((age T_0 T_2) = (zero))) => (is_aligned T_0 T_2)) (-. (has_endowment T_0)) (All X, (All T, (((organization X) /\ (-. (has_endowment X))) => (-. (has_immunity X T))))) (All X, (All T0, (All T, (((organization X) /\ ((age X T0) = (zero))) => ((greater (age X T) (sigma)) <=> (dissimilar X T0 T)))))) (-. (greater (age T_0 T_1) (sigma))) (positional_advantage T_0 T_1) (-. (greater (hazard_of_mortality T_0 T_3) (hazard_of_mortality T_0 T_1))) (greater (high) (mod1)) (All T, (((smaller_or_equal (age T_0 T) (sigma)) => (positional_advantage T_0 T)) /\ ((greater (age T_0 T) (sigma)) => (-. (positional_advantage T_0 T))))) (greater (age T_0 T_3) (sigma)) (greater (mod2) (low)) (greater (mod1) (low)) (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_2) = (zero)) (organization T_0) ### DisjTree 5 6 68
% 55.73/55.99 70. (All T, (((organization T_0) /\ ((age T_0 T) = (zero))) => (is_aligned T_0 T))) (organization T_0) ((age T_0 T_2) = (zero)) (All X, (All 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 (mod1) (low)) (greater (mod2) (low)) (greater (age T_0 T_3) (sigma)) (All T, (((smaller_or_equal (age T_0 T) (sigma)) => (positional_advantage T_0 T)) /\ ((greater (age T_0 T) (sigma)) => (-. (positional_advantage T_0 T))))) (greater (high) (mod1)) (-. (greater (hazard_of_mortality T_0 T_3) (hazard_of_mortality T_0 T_1))) (positional_advantage T_0 T_1) (-. (greater (age T_0 T_1) (sigma))) (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) /\ (-. (has_endowment X))) => (-. (has_immunity X T))))) (-. (has_endowment T_0)) ### All 69
% 55.73/55.99 71. (positional_advantage T_0 T_1) (-. (positional_advantage T_0 T_1)) ### Axiom
% 55.73/55.99 72. ((greater (age T_0 T_1) (sigma)) => (-. (positional_advantage T_0 T_1))) (-. (has_endowment T_0)) (All X, (All T, (((organization X) /\ (-. (has_endowment X))) => (-. (has_immunity X T))))) (All X, (All T0, (All T, (((organization X) /\ ((age X T0) = (zero))) => ((greater (age X T) (sigma)) <=> (dissimilar X T0 T)))))) (positional_advantage T_0 T_1) (-. (greater (hazard_of_mortality T_0 T_3) (hazard_of_mortality T_0 T_1))) (greater (high) (mod1)) (All T, (((smaller_or_equal (age T_0 T) (sigma)) => (positional_advantage T_0 T)) /\ ((greater (age T_0 T) (sigma)) => (-. (positional_advantage T_0 T))))) (greater (age T_0 T_3) (sigma)) (greater (mod2) (low)) (greater (mod1) (low)) (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_2) = (zero)) (organization T_0) (All T, (((organization T_0) /\ ((age T_0 T) = (zero))) => (is_aligned T_0 T))) ### Imply 70 71
% 55.73/55.99 73. ((smaller_or_equal (age T_0 T_1) (sigma)) => (positional_advantage T_0 T_1)) (All T, (((organization T_0) /\ ((age T_0 T) = (zero))) => (is_aligned T_0 T))) (organization T_0) ((age T_0 T_2) = (zero)) (All X, (All 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 (mod1) (low)) (greater (mod2) (low)) (greater (age T_0 T_3) (sigma)) (All T, (((smaller_or_equal (age T_0 T) (sigma)) => (positional_advantage T_0 T)) /\ ((greater (age T_0 T) (sigma)) => (-. (positional_advantage T_0 T))))) (greater (high) (mod1)) (-. (greater (hazard_of_mortality T_0 T_3) (hazard_of_mortality T_0 T_1))) (All X, (All T0, (All T, (((organization X) /\ ((age X T0) = (zero))) => ((greater (age X T) (sigma)) <=> (dissimilar X T0 T)))))) (All X, (All T, (((organization X) /\ (-. (has_endowment X))) => (-. (has_immunity X T))))) (-. (has_endowment T_0)) ((greater (age T_0 T_1) (sigma)) => (-. (positional_advantage T_0 T_1))) (greater (sigma) (age T_0 T_1)) ### Imply 4 72
% 55.73/56.01 74. (((smaller_or_equal (age T_0 T_1) (sigma)) => (positional_advantage T_0 T_1)) /\ ((greater (age T_0 T_1) (sigma)) => (-. (positional_advantage T_0 T_1)))) (greater (sigma) (age T_0 T_1)) (-. (has_endowment T_0)) (All X, (All T, (((organization X) /\ (-. (has_endowment X))) => (-. (has_immunity X T))))) (All X, (All T0, (All T, (((organization X) /\ ((age X T0) = (zero))) => ((greater (age X T) (sigma)) <=> (dissimilar X T0 T)))))) (-. (greater (hazard_of_mortality T_0 T_3) (hazard_of_mortality T_0 T_1))) (greater (high) (mod1)) (All T, (((smaller_or_equal (age T_0 T) (sigma)) => (positional_advantage T_0 T)) /\ ((greater (age T_0 T) (sigma)) => (-. (positional_advantage T_0 T))))) (greater (age T_0 T_3) (sigma)) (greater (mod2) (low)) (greater (mod1) (low)) (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_2) = (zero)) (organization T_0) (All T, (((organization T_0) /\ ((age T_0 T) = (zero))) => (is_aligned T_0 T))) ### And 73
% 55.73/56.01 75. (All T, (((organization T_0) /\ ((age T_0 T) = (zero))) => (is_aligned T_0 T))) (organization T_0) ((age T_0 T_2) = (zero)) (All X, (All 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 (mod1) (low)) (greater (mod2) (low)) (greater (age T_0 T_3) (sigma)) (All T, (((smaller_or_equal (age T_0 T) (sigma)) => (positional_advantage T_0 T)) /\ ((greater (age T_0 T) (sigma)) => (-. (positional_advantage T_0 T))))) (greater (high) (mod1)) (-. (greater (hazard_of_mortality T_0 T_3) (hazard_of_mortality T_0 T_1))) (All X, (All T0, (All T, (((organization X) /\ ((age X T0) = (zero))) => ((greater (age X T) (sigma)) <=> (dissimilar X T0 T)))))) (All X, (All T, (((organization X) /\ (-. (has_endowment X))) => (-. (has_immunity X T))))) (-. (has_endowment T_0)) (greater (sigma) (age T_0 T_1)) ### All 74
% 55.73/56.01 76. (All X, (All T, (((organization X) /\ ((age X T) = (zero))) => (is_aligned X T)))) (greater (sigma) (age T_0 T_1)) (-. (has_endowment T_0)) (All X, (All T, (((organization X) /\ (-. (has_endowment X))) => (-. (has_immunity X T))))) (All X, (All T0, (All T, (((organization X) /\ ((age X T0) = (zero))) => ((greater (age X T) (sigma)) <=> (dissimilar X T0 T)))))) (-. (greater (hazard_of_mortality T_0 T_3) (hazard_of_mortality T_0 T_1))) (greater (high) (mod1)) (All T, (((smaller_or_equal (age T_0 T) (sigma)) => (positional_advantage T_0 T)) /\ ((greater (age T_0 T) (sigma)) => (-. (positional_advantage T_0 T))))) (greater (age T_0 T_3) (sigma)) (greater (mod2) (low)) (greater (mod1) (low)) (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_2) = (zero)) (organization T_0) ### All 75
% 55.73/56.01 77. ((sigma) != (sigma)) ### NotEqual
% 55.73/56.01 78. ((age T_0 T_2) = (zero)) ((zero) != (age T_0 T_2)) ### Sym(=)
% 55.73/56.01 79. (-. (greater (sigma) (age T_0 T_2))) (greater (sigma) (zero)) ((age T_0 T_2) = (zero)) ### Trans 77 78
% 55.73/56.01 80. (-. (smaller (age T_0 T_2) (sigma))) ((age T_0 T_2) = (zero)) (greater (sigma) (zero)) ### Definition-Pseudo(smaller) 79
% 55.73/56.01 81. (-. ((smaller (age T_0 T_2) (sigma)) \/ ((age T_0 T_2) = (sigma)))) (greater (sigma) (zero)) ((age T_0 T_2) = (zero)) ### NotOr 80
% 55.73/56.01 82. (-. (smaller_or_equal (age T_0 T_2) (sigma))) ((age T_0 T_2) = (zero)) (greater (sigma) (zero)) ### Definition-Pseudo(smaller_or_equal) 81
% 55.73/56.01 83. (organization T_0) (-. (organization T_0)) ### Axiom
% 55.73/56.01 84. ((age T_0 T_2) = (zero)) ((age T_0 T_2) != (zero)) ### Axiom
% 55.73/56.01 85. (organization T_0) (-. (organization T_0)) ### Axiom
% 55.73/56.01 86. (positional_advantage T_0 T_1) (-. (positional_advantage T_0 T_1)) ### Axiom
% 55.73/56.01 87. (organization T_0) (-. (organization T_0)) ### Axiom
% 55.73/56.01 88. (organization T_0) (-. (organization T_0)) ### Axiom
% 55.73/56.01 89. (-. (has_endowment T_0)) (has_endowment T_0) ### Axiom
% 55.73/56.01 90. (has_immunity T_0 T_2) (-. (has_immunity T_0 T_2)) ### Axiom
% 55.73/56.01 91. (((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 88 89 90
% 55.73/56.01 92. (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 91
% 55.73/56.01 93. (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 92
% 55.73/56.01 94. (-. (-. (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 93
% 55.73/56.01 95. (is_aligned T_0 T_2) (-. (is_aligned T_0 T_2)) ### Axiom
% 55.73/56.01 96. (positional_advantage T_0 T_2) (-. (positional_advantage T_0 T_2)) ### Axiom
% 55.73/56.01 97. ((hazard_of_mortality T_0 T_1) != (hazard_of_mortality T_0 T_1)) ### Refl(=)
% 55.73/56.01 98. ((hazard_of_mortality T_0 T_1) != (hazard_of_mortality T_0 T_1)) ### Refl(=)
% 55.73/56.01 99. ((hazard_of_mortality T_0 T_2) = (low)) ((low) != (hazard_of_mortality T_0 T_2)) ### Sym(=)
% 55.73/56.01 100. ((hazard_of_mortality T_0 T_1) != (hazard_of_mortality T_0 T_2)) ((hazard_of_mortality T_0 T_1) = (low)) ((hazard_of_mortality T_0 T_2) = (low)) ### TransEq 97 98 99
% 55.73/56.01 101. (((is_aligned T_0 T_2) /\ (positional_advantage T_0 T_2)) => ((hazard_of_mortality T_0 T_2) = (low))) ((hazard_of_mortality T_0 T_1) = (low)) ((hazard_of_mortality T_0 T_1) != (hazard_of_mortality T_0 T_2)) (positional_advantage T_0 T_2) (is_aligned T_0 T_2) ### DisjTree 95 96 100
% 55.73/56.01 102. ((((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_1) != (hazard_of_mortality T_0 T_2)) ((hazard_of_mortality T_0 T_1) = (low)) ### ConjTree 101
% 55.84/56.05 103. ((-. (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_1) = (low)) ((hazard_of_mortality T_0 T_1) != (hazard_of_mortality T_0 T_2)) (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 94 102
% 55.84/56.05 104. (((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_1) != (hazard_of_mortality T_0 T_2)) ((hazard_of_mortality T_0 T_1) = (low)) ### And 103
% 55.84/56.05 105. ((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_1) = (low)) ((hazard_of_mortality T_0 T_1) != (hazard_of_mortality T_0 T_2)) (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 87 104
% 55.84/56.05 106. (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_1) != (hazard_of_mortality T_0 T_2)) ((hazard_of_mortality T_0 T_1) = (low)) ### All 105
% 55.84/56.05 107. (((is_aligned T_0 T_1) /\ (positional_advantage T_0 T_1)) => ((hazard_of_mortality T_0 T_1) = (low))) ((hazard_of_mortality T_0 T_1) != (hazard_of_mortality T_0 T_2)) (positional_advantage T_0 T_2) (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)))))))))) (positional_advantage T_0 T_1) (organization T_0) ((age T_0 T_2) = (zero)) (-. (greater (age T_0 T_1) (sigma))) (is_aligned T_0 T_2) (All T0, (All T, (((organization T_0) /\ ((age T_0 T0) = (zero))) => ((greater (age T_0 T) (sigma)) <=> (dissimilar T_0 T0 T))))) ### DisjTree 28 86 106
% 55.84/56.05 108. ((((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))))) (is_aligned T_0 T_2) (-. (greater (age T_0 T_1) (sigma))) ((age T_0 T_2) = (zero)) (organization T_0) (positional_advantage T_0 T_1) (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))))) (positional_advantage T_0 T_2) ((hazard_of_mortality T_0 T_1) != (hazard_of_mortality T_0 T_2)) ### ConjTree 107
% 55.84/56.05 109. ((-. (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_1) != (hazard_of_mortality T_0 T_2)) (positional_advantage T_0 T_2) (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)))))))))) (positional_advantage T_0 T_1) ((age T_0 T_2) = (zero)) (-. (greater (age T_0 T_1) (sigma))) (is_aligned T_0 T_2) (All T0, (All T, (((organization T_0) /\ ((age T_0 T0) = (zero))) => ((greater (age T_0 T) (sigma)) <=> (dissimilar T_0 T0 T))))) (All X, (All T, (((organization X) /\ (-. (has_endowment X))) => (-. (has_immunity X T))))) (-. (has_endowment T_0)) (organization T_0) ### Imply 14 108
% 55.84/56.05 110. (((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))))) (All T0, (All T, (((organization T_0) /\ ((age T_0 T0) = (zero))) => ((greater (age T_0 T) (sigma)) <=> (dissimilar T_0 T0 T))))) (is_aligned T_0 T_2) (-. (greater (age T_0 T_1) (sigma))) ((age T_0 T_2) = (zero)) (positional_advantage T_0 T_1) (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)))))))))) (positional_advantage T_0 T_2) ((hazard_of_mortality T_0 T_1) != (hazard_of_mortality T_0 T_2)) ### And 109
% 55.84/56.06 111. ((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_1) != (hazard_of_mortality T_0 T_2)) (positional_advantage T_0 T_2) (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)))))))))) (positional_advantage T_0 T_1) ((age T_0 T_2) = (zero)) (-. (greater (age T_0 T_1) (sigma))) (is_aligned T_0 T_2) (All T0, (All T, (((organization T_0) /\ ((age T_0 T0) = (zero))) => ((greater (age T_0 T) (sigma)) <=> (dissimilar T_0 T0 T))))) (All X, (All T, (((organization X) /\ (-. (has_endowment X))) => (-. (has_immunity X T))))) (-. (has_endowment T_0)) (organization T_0) ### Imply 85 110
% 55.84/56.06 112. (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_2) (-. (greater (age T_0 T_1) (sigma))) ((age T_0 T_2) = (zero)) (positional_advantage T_0 T_1) (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)))))))))) (positional_advantage T_0 T_2) ((hazard_of_mortality T_0 T_1) != (hazard_of_mortality T_0 T_2)) ### All 111
% 55.84/56.06 113. (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_1) != (hazard_of_mortality T_0 T_2)) (positional_advantage T_0 T_2) (positional_advantage T_0 T_1) ((age T_0 T_2) = (zero)) (-. (greater (age T_0 T_1) (sigma))) (is_aligned T_0 T_2) (All T0, (All T, (((organization T_0) /\ ((age T_0 T0) = (zero))) => ((greater (age T_0 T) (sigma)) <=> (dissimilar T_0 T0 T))))) (All X, (All T, (((organization X) /\ (-. (has_endowment X))) => (-. (has_immunity X T))))) (-. (has_endowment T_0)) (organization T_0) ### All 112
% 55.84/56.06 114. (All X, (All T0, (All T, (((organization X) /\ ((age X T0) = (zero))) => ((greater (age X T) (sigma)) <=> (dissimilar X T0 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) (-. (greater (age T_0 T_1) (sigma))) ((age T_0 T_2) = (zero)) (positional_advantage T_0 T_1) (positional_advantage T_0 T_2) ((hazard_of_mortality T_0 T_1) != (hazard_of_mortality 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 113
% 55.84/56.06 115. (((organization T_0) /\ ((age T_0 T_2) = (zero))) => (is_aligned 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_1) != (hazard_of_mortality T_0 T_2)) (positional_advantage T_0 T_2) (positional_advantage T_0 T_1) (-. (greater (age T_0 T_1) (sigma))) (All X, (All T, (((organization X) /\ (-. (has_endowment X))) => (-. (has_immunity X T))))) (-. (has_endowment T_0)) (All X, (All T0, (All T, (((organization X) /\ ((age X T0) = (zero))) => ((greater (age X T) (sigma)) <=> (dissimilar X T0 T)))))) ((age T_0 T_2) = (zero)) (organization T_0) ### DisjTree 83 84 114
% 55.84/56.06 116. (All T, (((organization T_0) /\ ((age T_0 T) = (zero))) => (is_aligned T_0 T))) (organization T_0) ((age T_0 T_2) = (zero)) (All X, (All T0, (All T, (((organization X) /\ ((age X T0) = (zero))) => ((greater (age X T) (sigma)) <=> (dissimilar X T0 T)))))) (-. (has_endowment T_0)) (All X, (All T, (((organization X) /\ (-. (has_endowment X))) => (-. (has_immunity X T))))) (-. (greater (age T_0 T_1) (sigma))) (positional_advantage T_0 T_1) (positional_advantage T_0 T_2) ((hazard_of_mortality T_0 T_1) != (hazard_of_mortality 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 115
% 55.84/56.07 117. ((smaller_or_equal (age T_0 T_2) (sigma)) => (positional_advantage 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_1) != (hazard_of_mortality T_0 T_2)) (positional_advantage T_0 T_1) (-. (greater (age T_0 T_1) (sigma))) (All X, (All T, (((organization X) /\ (-. (has_endowment X))) => (-. (has_immunity X T))))) (-. (has_endowment T_0)) (All X, (All T0, (All T, (((organization X) /\ ((age X T0) = (zero))) => ((greater (age X T) (sigma)) <=> (dissimilar X T0 T)))))) (organization T_0) (All T, (((organization T_0) /\ ((age T_0 T) = (zero))) => (is_aligned T_0 T))) (greater (sigma) (zero)) ((age T_0 T_2) = (zero)) ### Imply 82 116
% 55.84/56.07 118. (((smaller_or_equal (age T_0 T_2) (sigma)) => (positional_advantage T_0 T_2)) /\ ((greater (age T_0 T_2) (sigma)) => (-. (positional_advantage T_0 T_2)))) ((age T_0 T_2) = (zero)) (greater (sigma) (zero)) (All T, (((organization T_0) /\ ((age T_0 T) = (zero))) => (is_aligned T_0 T))) (organization T_0) (All X, (All T0, (All T, (((organization X) /\ ((age X T0) = (zero))) => ((greater (age X T) (sigma)) <=> (dissimilar X T0 T)))))) (-. (has_endowment T_0)) (All X, (All T, (((organization X) /\ (-. (has_endowment X))) => (-. (has_immunity X T))))) (-. (greater (age T_0 T_1) (sigma))) (positional_advantage T_0 T_1) ((hazard_of_mortality T_0 T_1) != (hazard_of_mortality 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))))))))))) ### And 117
% 55.84/56.07 119. (All T, (((smaller_or_equal (age T_0 T) (sigma)) => (positional_advantage T_0 T)) /\ ((greater (age T_0 T) (sigma)) => (-. (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))))))))))) ((hazard_of_mortality T_0 T_1) != (hazard_of_mortality T_0 T_2)) (positional_advantage T_0 T_1) (-. (greater (age T_0 T_1) (sigma))) (All X, (All T, (((organization X) /\ (-. (has_endowment X))) => (-. (has_immunity X T))))) (-. (has_endowment T_0)) (All X, (All T0, (All T, (((organization X) /\ ((age X T0) = (zero))) => ((greater (age X T) (sigma)) <=> (dissimilar X T0 T)))))) (organization T_0) (All T, (((organization T_0) /\ ((age T_0 T) = (zero))) => (is_aligned T_0 T))) (greater (sigma) (zero)) ((age T_0 T_2) = (zero)) ### All 118
% 55.84/56.07 120. (positional_advantage T_0 T_1) (-. (positional_advantage T_0 T_1)) ### Axiom
% 55.84/56.07 121. ((greater (age T_0 T_1) (sigma)) => (-. (positional_advantage T_0 T_1))) ((age T_0 T_2) = (zero)) (greater (sigma) (zero)) (All T, (((organization T_0) /\ ((age T_0 T) = (zero))) => (is_aligned T_0 T))) (organization T_0) (All X, (All T0, (All T, (((organization X) /\ ((age X T0) = (zero))) => ((greater (age X T) (sigma)) <=> (dissimilar X T0 T)))))) (-. (has_endowment T_0)) (All X, (All T, (((organization X) /\ (-. (has_endowment X))) => (-. (has_immunity X T))))) (positional_advantage T_0 T_1) ((hazard_of_mortality T_0 T_1) != (hazard_of_mortality 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 T, (((smaller_or_equal (age T_0 T) (sigma)) => (positional_advantage T_0 T)) /\ ((greater (age T_0 T) (sigma)) => (-. (positional_advantage T_0 T))))) ### Imply 119 120
% 55.84/56.07 122. ((smaller_or_equal (age T_0 T_1) (sigma)) => (positional_advantage T_0 T_1)) (All T, (((smaller_or_equal (age T_0 T) (sigma)) => (positional_advantage T_0 T)) /\ ((greater (age T_0 T) (sigma)) => (-. (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))))))))))) ((hazard_of_mortality T_0 T_1) != (hazard_of_mortality T_0 T_2)) (All X, (All T, (((organization X) /\ (-. (has_endowment X))) => (-. (has_immunity X T))))) (-. (has_endowment T_0)) (All X, (All T0, (All T, (((organization X) /\ ((age X T0) = (zero))) => ((greater (age X T) (sigma)) <=> (dissimilar X T0 T)))))) (organization T_0) (All T, (((organization T_0) /\ ((age T_0 T) = (zero))) => (is_aligned T_0 T))) (greater (sigma) (zero)) ((age T_0 T_2) = (zero)) ((greater (age T_0 T_1) (sigma)) => (-. (positional_advantage T_0 T_1))) (greater (sigma) (age T_0 T_1)) ### Imply 4 121
% 55.84/56.07 123. (((smaller_or_equal (age T_0 T_1) (sigma)) => (positional_advantage T_0 T_1)) /\ ((greater (age T_0 T_1) (sigma)) => (-. (positional_advantage T_0 T_1)))) (greater (sigma) (age T_0 T_1)) ((age T_0 T_2) = (zero)) (greater (sigma) (zero)) (All T, (((organization T_0) /\ ((age T_0 T) = (zero))) => (is_aligned T_0 T))) (organization T_0) (All X, (All T0, (All T, (((organization X) /\ ((age X T0) = (zero))) => ((greater (age X T) (sigma)) <=> (dissimilar X T0 T)))))) (-. (has_endowment T_0)) (All X, (All T, (((organization X) /\ (-. (has_endowment X))) => (-. (has_immunity X T))))) ((hazard_of_mortality T_0 T_1) != (hazard_of_mortality 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 T, (((smaller_or_equal (age T_0 T) (sigma)) => (positional_advantage T_0 T)) /\ ((greater (age T_0 T) (sigma)) => (-. (positional_advantage T_0 T))))) ### And 122
% 55.84/56.07 124. (All T, (((smaller_or_equal (age T_0 T) (sigma)) => (positional_advantage T_0 T)) /\ ((greater (age T_0 T) (sigma)) => (-. (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))))))))))) ((hazard_of_mortality T_0 T_1) != (hazard_of_mortality T_0 T_2)) (All X, (All T, (((organization X) /\ (-. (has_endowment X))) => (-. (has_immunity X T))))) (-. (has_endowment T_0)) (All X, (All T0, (All T, (((organization X) /\ ((age X T0) = (zero))) => ((greater (age X T) (sigma)) <=> (dissimilar X T0 T)))))) (organization T_0) (All T, (((organization T_0) /\ ((age T_0 T) = (zero))) => (is_aligned T_0 T))) (greater (sigma) (zero)) ((age T_0 T_2) = (zero)) (greater (sigma) (age T_0 T_1)) ### All 123
% 55.84/56.09 125. (All X, (All T, (((organization X) /\ ((age X T) = (zero))) => (is_aligned X T)))) (greater (sigma) (age T_0 T_1)) ((age T_0 T_2) = (zero)) (greater (sigma) (zero)) (organization T_0) (All X, (All T0, (All T, (((organization X) /\ ((age X T0) = (zero))) => ((greater (age X T) (sigma)) <=> (dissimilar X T0 T)))))) (-. (has_endowment T_0)) (All X, (All T, (((organization X) /\ (-. (has_endowment X))) => (-. (has_immunity X T))))) ((hazard_of_mortality T_0 T_1) != (hazard_of_mortality 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 T, (((smaller_or_equal (age T_0 T) (sigma)) => (positional_advantage T_0 T)) /\ ((greater (age T_0 T) (sigma)) => (-. (positional_advantage T_0 T))))) ### All 124
% 55.84/56.09 126. (-. ((greater (hazard_of_mortality T_0 T_3) (hazard_of_mortality T_0 T_1)) /\ ((hazard_of_mortality T_0 T_1) = (hazard_of_mortality T_0 T_2)))) (greater (sigma) (zero)) (organization T_0) ((age T_0 T_2) = (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 (mod1) (low)) (greater (mod2) (low)) (greater (age T_0 T_3) (sigma)) (All T, (((smaller_or_equal (age T_0 T) (sigma)) => (positional_advantage T_0 T)) /\ ((greater (age T_0 T) (sigma)) => (-. (positional_advantage T_0 T))))) (greater (high) (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) /\ (-. (has_endowment X))) => (-. (has_immunity X T))))) (-. (has_endowment T_0)) (greater (sigma) (age T_0 T_1)) (All X, (All T, (((organization X) /\ ((age X T) = (zero))) => (is_aligned X T)))) ### NotAnd 76 125
% 55.84/56.09 127. (smaller (age T_0 T_1) (sigma)) (All X, (All T, (((organization X) /\ ((age X T) = (zero))) => (is_aligned X T)))) (-. (has_endowment T_0)) (All X, (All T, (((organization X) /\ (-. (has_endowment X))) => (-. (has_immunity X T))))) (All X, (All T0, (All T, (((organization X) /\ ((age X T0) = (zero))) => ((greater (age X T) (sigma)) <=> (dissimilar X T0 T)))))) (greater (high) (mod1)) (All T, (((smaller_or_equal (age T_0 T) (sigma)) => (positional_advantage T_0 T)) /\ ((greater (age T_0 T) (sigma)) => (-. (positional_advantage T_0 T))))) (greater (age T_0 T_3) (sigma)) (greater (mod2) (low)) (greater (mod1) (low)) (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_2) = (zero)) (organization T_0) (greater (sigma) (zero)) (-. ((greater (hazard_of_mortality T_0 T_3) (hazard_of_mortality T_0 T_1)) /\ ((hazard_of_mortality T_0 T_1) = (hazard_of_mortality T_0 T_2)))) ### Definition-Pseudo(smaller) 126
% 55.84/56.09 128. ((age T_0 T_1) = (sigma)) ((age T_0 T_1) != (sigma)) ### Axiom
% 55.84/56.09 129. (-. ((smaller (age T_0 T_1) (sigma)) \/ ((age T_0 T_1) = (sigma)))) ((age T_0 T_1) = (sigma)) ### NotOr 128
% 55.84/56.09 130. (-. (smaller_or_equal (age T_0 T_1) (sigma))) ((age T_0 T_1) = (sigma)) ### Definition-Pseudo(smaller_or_equal) 129
% 55.84/56.09 131. ((smaller_or_equal (age T_0 T_1) (sigma)) => (positional_advantage T_0 T_1)) (All T, (((organization T_0) /\ ((age T_0 T) = (zero))) => (is_aligned T_0 T))) (organization T_0) ((age T_0 T_2) = (zero)) (All X, (All 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 (mod1) (low)) (greater (mod2) (low)) (greater (age T_0 T_3) (sigma)) (All T, (((smaller_or_equal (age T_0 T) (sigma)) => (positional_advantage T_0 T)) /\ ((greater (age T_0 T) (sigma)) => (-. (positional_advantage T_0 T))))) (greater (high) (mod1)) (-. (greater (hazard_of_mortality T_0 T_3) (hazard_of_mortality T_0 T_1))) (All X, (All T0, (All T, (((organization X) /\ ((age X T0) = (zero))) => ((greater (age X T) (sigma)) <=> (dissimilar X T0 T)))))) (All X, (All T, (((organization X) /\ (-. (has_endowment X))) => (-. (has_immunity X T))))) (-. (has_endowment T_0)) ((greater (age T_0 T_1) (sigma)) => (-. (positional_advantage T_0 T_1))) ((age T_0 T_1) = (sigma)) ### Imply 130 72
% 55.84/56.09 132. (((smaller_or_equal (age T_0 T_1) (sigma)) => (positional_advantage T_0 T_1)) /\ ((greater (age T_0 T_1) (sigma)) => (-. (positional_advantage T_0 T_1)))) ((age T_0 T_1) = (sigma)) (-. (has_endowment T_0)) (All X, (All T, (((organization X) /\ (-. (has_endowment X))) => (-. (has_immunity X T))))) (All X, (All T0, (All T, (((organization X) /\ ((age X T0) = (zero))) => ((greater (age X T) (sigma)) <=> (dissimilar X T0 T)))))) (-. (greater (hazard_of_mortality T_0 T_3) (hazard_of_mortality T_0 T_1))) (greater (high) (mod1)) (All T, (((smaller_or_equal (age T_0 T) (sigma)) => (positional_advantage T_0 T)) /\ ((greater (age T_0 T) (sigma)) => (-. (positional_advantage T_0 T))))) (greater (age T_0 T_3) (sigma)) (greater (mod2) (low)) (greater (mod1) (low)) (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_2) = (zero)) (organization T_0) (All T, (((organization T_0) /\ ((age T_0 T) = (zero))) => (is_aligned T_0 T))) ### And 131
% 55.84/56.09 133. (All T, (((organization T_0) /\ ((age T_0 T) = (zero))) => (is_aligned T_0 T))) (organization T_0) ((age T_0 T_2) = (zero)) (All X, (All 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 (mod1) (low)) (greater (mod2) (low)) (greater (age T_0 T_3) (sigma)) (All T, (((smaller_or_equal (age T_0 T) (sigma)) => (positional_advantage T_0 T)) /\ ((greater (age T_0 T) (sigma)) => (-. (positional_advantage T_0 T))))) (greater (high) (mod1)) (-. (greater (hazard_of_mortality T_0 T_3) (hazard_of_mortality T_0 T_1))) (All X, (All T0, (All T, (((organization X) /\ ((age X T0) = (zero))) => ((greater (age X T) (sigma)) <=> (dissimilar X T0 T)))))) (All X, (All T, (((organization X) /\ (-. (has_endowment X))) => (-. (has_immunity X T))))) (-. (has_endowment T_0)) ((age T_0 T_1) = (sigma)) ### All 132
% 55.84/56.10 134. (All X, (All T, (((organization X) /\ ((age X T) = (zero))) => (is_aligned X T)))) ((age T_0 T_1) = (sigma)) (-. (has_endowment T_0)) (All X, (All T, (((organization X) /\ (-. (has_endowment X))) => (-. (has_immunity X T))))) (All X, (All T0, (All T, (((organization X) /\ ((age X T0) = (zero))) => ((greater (age X T) (sigma)) <=> (dissimilar X T0 T)))))) (-. (greater (hazard_of_mortality T_0 T_3) (hazard_of_mortality T_0 T_1))) (greater (high) (mod1)) (All T, (((smaller_or_equal (age T_0 T) (sigma)) => (positional_advantage T_0 T)) /\ ((greater (age T_0 T) (sigma)) => (-. (positional_advantage T_0 T))))) (greater (age T_0 T_3) (sigma)) (greater (mod2) (low)) (greater (mod1) (low)) (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_2) = (zero)) (organization T_0) ### All 133
% 55.84/56.10 135. ((smaller_or_equal (age T_0 T_1) (sigma)) => (positional_advantage T_0 T_1)) (All T, (((smaller_or_equal (age T_0 T) (sigma)) => (positional_advantage T_0 T)) /\ ((greater (age T_0 T) (sigma)) => (-. (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))))))))))) ((hazard_of_mortality T_0 T_1) != (hazard_of_mortality T_0 T_2)) (All X, (All T, (((organization X) /\ (-. (has_endowment X))) => (-. (has_immunity X T))))) (-. (has_endowment T_0)) (All X, (All T0, (All T, (((organization X) /\ ((age X T0) = (zero))) => ((greater (age X T) (sigma)) <=> (dissimilar X T0 T)))))) (organization T_0) (All T, (((organization T_0) /\ ((age T_0 T) = (zero))) => (is_aligned T_0 T))) (greater (sigma) (zero)) ((age T_0 T_2) = (zero)) ((greater (age T_0 T_1) (sigma)) => (-. (positional_advantage T_0 T_1))) ((age T_0 T_1) = (sigma)) ### Imply 130 121
% 55.84/56.10 136. (((smaller_or_equal (age T_0 T_1) (sigma)) => (positional_advantage T_0 T_1)) /\ ((greater (age T_0 T_1) (sigma)) => (-. (positional_advantage T_0 T_1)))) ((age T_0 T_1) = (sigma)) ((age T_0 T_2) = (zero)) (greater (sigma) (zero)) (All T, (((organization T_0) /\ ((age T_0 T) = (zero))) => (is_aligned T_0 T))) (organization T_0) (All X, (All T0, (All T, (((organization X) /\ ((age X T0) = (zero))) => ((greater (age X T) (sigma)) <=> (dissimilar X T0 T)))))) (-. (has_endowment T_0)) (All X, (All T, (((organization X) /\ (-. (has_endowment X))) => (-. (has_immunity X T))))) ((hazard_of_mortality T_0 T_1) != (hazard_of_mortality 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 T, (((smaller_or_equal (age T_0 T) (sigma)) => (positional_advantage T_0 T)) /\ ((greater (age T_0 T) (sigma)) => (-. (positional_advantage T_0 T))))) ### And 135
% 55.84/56.10 137. (All T, (((smaller_or_equal (age T_0 T) (sigma)) => (positional_advantage T_0 T)) /\ ((greater (age T_0 T) (sigma)) => (-. (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))))))))))) ((hazard_of_mortality T_0 T_1) != (hazard_of_mortality T_0 T_2)) (All X, (All T, (((organization X) /\ (-. (has_endowment X))) => (-. (has_immunity X T))))) (-. (has_endowment T_0)) (All X, (All T0, (All T, (((organization X) /\ ((age X T0) = (zero))) => ((greater (age X T) (sigma)) <=> (dissimilar X T0 T)))))) (organization T_0) (All T, (((organization T_0) /\ ((age T_0 T) = (zero))) => (is_aligned T_0 T))) (greater (sigma) (zero)) ((age T_0 T_2) = (zero)) ((age T_0 T_1) = (sigma)) ### All 136
% 55.84/56.10 138. (All X, (All T, (((organization X) /\ ((age X T) = (zero))) => (is_aligned X T)))) ((age T_0 T_1) = (sigma)) ((age T_0 T_2) = (zero)) (greater (sigma) (zero)) (organization T_0) (All X, (All T0, (All T, (((organization X) /\ ((age X T0) = (zero))) => ((greater (age X T) (sigma)) <=> (dissimilar X T0 T)))))) (-. (has_endowment T_0)) (All X, (All T, (((organization X) /\ (-. (has_endowment X))) => (-. (has_immunity X T))))) ((hazard_of_mortality T_0 T_1) != (hazard_of_mortality 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 T, (((smaller_or_equal (age T_0 T) (sigma)) => (positional_advantage T_0 T)) /\ ((greater (age T_0 T) (sigma)) => (-. (positional_advantage T_0 T))))) ### All 137
% 55.84/56.10 139. (-. ((greater (hazard_of_mortality T_0 T_3) (hazard_of_mortality T_0 T_1)) /\ ((hazard_of_mortality T_0 T_1) = (hazard_of_mortality T_0 T_2)))) (greater (sigma) (zero)) (organization T_0) ((age T_0 T_2) = (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 (mod1) (low)) (greater (mod2) (low)) (greater (age T_0 T_3) (sigma)) (All T, (((smaller_or_equal (age T_0 T) (sigma)) => (positional_advantage T_0 T)) /\ ((greater (age T_0 T) (sigma)) => (-. (positional_advantage T_0 T))))) (greater (high) (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) /\ (-. (has_endowment X))) => (-. (has_immunity X T))))) (-. (has_endowment T_0)) ((age T_0 T_1) = (sigma)) (All X, (All T, (((organization X) /\ ((age X T) = (zero))) => (is_aligned X T)))) ### NotAnd 134 138
% 55.84/56.10 140. ((smaller (age T_0 T_1) (sigma)) \/ ((age T_0 T_1) = (sigma))) (-. ((greater (hazard_of_mortality T_0 T_3) (hazard_of_mortality T_0 T_1)) /\ ((hazard_of_mortality T_0 T_1) = (hazard_of_mortality T_0 T_2)))) (greater (sigma) (zero)) (organization T_0) ((age T_0 T_2) = (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 (mod1) (low)) (greater (mod2) (low)) (greater (age T_0 T_3) (sigma)) (All T, (((smaller_or_equal (age T_0 T) (sigma)) => (positional_advantage T_0 T)) /\ ((greater (age T_0 T) (sigma)) => (-. (positional_advantage T_0 T))))) (greater (high) (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) /\ (-. (has_endowment X))) => (-. (has_immunity X T))))) (-. (has_endowment T_0)) (All X, (All T, (((organization X) /\ ((age X T) = (zero))) => (is_aligned X T)))) ### Or 127 139
% 55.84/56.10 141. (smaller_or_equal (age T_0 T_1) (sigma)) (All X, (All T, (((organization X) /\ ((age X T) = (zero))) => (is_aligned X T)))) (-. (has_endowment T_0)) (All X, (All T, (((organization X) /\ (-. (has_endowment X))) => (-. (has_immunity X T))))) (All X, (All T0, (All T, (((organization X) /\ ((age X T0) = (zero))) => ((greater (age X T) (sigma)) <=> (dissimilar X T0 T)))))) (greater (high) (mod1)) (All T, (((smaller_or_equal (age T_0 T) (sigma)) => (positional_advantage T_0 T)) /\ ((greater (age T_0 T) (sigma)) => (-. (positional_advantage T_0 T))))) (greater (age T_0 T_3) (sigma)) (greater (mod2) (low)) (greater (mod1) (low)) (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_2) = (zero)) (organization T_0) (greater (sigma) (zero)) (-. ((greater (hazard_of_mortality T_0 T_3) (hazard_of_mortality T_0 T_1)) /\ ((hazard_of_mortality T_0 T_1) = (hazard_of_mortality T_0 T_2)))) ### Definition-Pseudo(smaller_or_equal) 140
% 55.84/56.10 142. (fragile_position T_0) (-. ((greater (hazard_of_mortality T_0 T_3) (hazard_of_mortality T_0 T_1)) /\ ((hazard_of_mortality T_0 T_1) = (hazard_of_mortality T_0 T_2)))) (greater (sigma) (zero)) (organization T_0) ((age T_0 T_2) = (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 (mod1) (low)) (greater (mod2) (low)) (greater (age T_0 T_3) (sigma)) (greater (high) (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) /\ (-. (has_endowment X))) => (-. (has_immunity X T))))) (-. (has_endowment T_0)) (All X, (All T, (((organization X) /\ ((age X T) = (zero))) => (is_aligned X T)))) (smaller_or_equal (age T_0 T_1) (sigma)) ### Definition-Pseudo(fragile_position) 141
% 55.84/56.10 143. (-. (((organization T_0) /\ ((fragile_position T_0) /\ ((-. (has_endowment T_0)) /\ (((age T_0 T_2) = (zero)) /\ ((greater (sigma) (zero)) /\ ((smaller_or_equal (age T_0 T_1) (sigma)) /\ (greater (age T_0 T_3) (sigma)))))))) => ((greater (hazard_of_mortality T_0 T_3) (hazard_of_mortality T_0 T_1)) /\ ((hazard_of_mortality T_0 T_1) = (hazard_of_mortality 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_endowment X))) => (-. (has_immunity X T))))) (All X, (All T0, (All T, (((organization X) /\ ((age X T0) = (zero))) => ((greater (age X T) (sigma)) <=> (dissimilar X T0 T)))))) (greater (high) (mod1)) (greater (mod2) (low)) (greater (mod1) (low)) (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 142
% 55.84/56.10 144. (-. (All T2, (((organization T_0) /\ ((fragile_position T_0) /\ ((-. (has_endowment T_0)) /\ (((age T_0 T_2) = (zero)) /\ ((greater (sigma) (zero)) /\ ((smaller_or_equal (age T_0 T_1) (sigma)) /\ (greater (age T_0 T2) (sigma)))))))) => ((greater (hazard_of_mortality T_0 T2) (hazard_of_mortality T_0 T_1)) /\ ((hazard_of_mortality T_0 T_1) = (hazard_of_mortality 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))))))))))) (greater (mod1) (low)) (greater (mod2) (low)) (greater (high) (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) /\ (-. (has_endowment X))) => (-. (has_immunity X T))))) (All X, (All T, (((organization X) /\ ((age X T) = (zero))) => (is_aligned X T)))) ### NotAllEx 143
% 55.84/56.10 145. (-. (All T1, (All T2, (((organization T_0) /\ ((fragile_position T_0) /\ ((-. (has_endowment T_0)) /\ (((age T_0 T_2) = (zero)) /\ ((greater (sigma) (zero)) /\ ((smaller_or_equal (age T_0 T1) (sigma)) /\ (greater (age T_0 T2) (sigma)))))))) => ((greater (hazard_of_mortality T_0 T2) (hazard_of_mortality T_0 T1)) /\ ((hazard_of_mortality T_0 T1) = (hazard_of_mortality T_0 T_2))))))) (All X, (All T, (((organization X) /\ ((age X T) = (zero))) => (is_aligned X T)))) (All X, (All T, (((organization X) /\ (-. (has_endowment X))) => (-. (has_immunity X T))))) (All X, (All T0, (All T, (((organization X) /\ ((age X T0) = (zero))) => ((greater (age X T) (sigma)) <=> (dissimilar X T0 T)))))) (greater (high) (mod1)) (greater (mod2) (low)) (greater (mod1) (low)) (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 144
% 55.84/56.10 146. (-. (All T0, (All T1, (All T2, (((organization T_0) /\ ((fragile_position T_0) /\ ((-. (has_endowment T_0)) /\ (((age T_0 T0) = (zero)) /\ ((greater (sigma) (zero)) /\ ((smaller_or_equal (age T_0 T1) (sigma)) /\ (greater (age T_0 T2) (sigma)))))))) => ((greater (hazard_of_mortality T_0 T2) (hazard_of_mortality T_0 T1)) /\ ((hazard_of_mortality T_0 T1) = (hazard_of_mortality T_0 T0)))))))) (All X, (All 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 (mod1) (low)) (greater (mod2) (low)) (greater (high) (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) /\ (-. (has_endowment X))) => (-. (has_immunity X T))))) (All X, (All T, (((organization X) /\ ((age X T) = (zero))) => (is_aligned X T)))) ### NotAllEx 145
% 55.84/56.10 147. (-. (All X, (All T0, (All T1, (All T2, (((organization X) /\ ((fragile_position X) /\ ((-. (has_endowment X)) /\ (((age X T0) = (zero)) /\ ((greater (sigma) (zero)) /\ ((smaller_or_equal (age X T1) (sigma)) /\ (greater (age X T2) (sigma)))))))) => ((greater (hazard_of_mortality X T2) (hazard_of_mortality X T1)) /\ ((hazard_of_mortality X T1) = (hazard_of_mortality X T0))))))))) (All X, (All T, (((organization X) /\ ((age X T) = (zero))) => (is_aligned X T)))) (All X, (All T, (((organization X) /\ (-. (has_endowment X))) => (-. (has_immunity X T))))) (All X, (All T0, (All T, (((organization X) /\ ((age X T0) = (zero))) => ((greater (age X T) (sigma)) <=> (dissimilar X T0 T)))))) (greater (high) (mod1)) (greater (mod2) (low)) (greater (mod1) (low)) (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 146
% 55.84/56.10 % SZS output end Proof
% 55.84/56.10 (* END-PROOF *)
%------------------------------------------------------------------------------