TSTP Solution File: MGT056+1 by SuperZenon---0.0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SuperZenon---0.0.1
% Problem : MGT056+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 : n023.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 22:27:07 EDT 2022
% Result : Theorem 73.25s 73.50s
% Output : Proof 73.33s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : MGT056+1 : TPTP v8.1.0. Released v2.4.0.
% 0.10/0.12 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s
% 0.13/0.33 % Computer : n023.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Thu Jun 9 12:05:08 EDT 2022
% 0.13/0.34 % CPUTime :
% 73.25/73.50 % SZS status Theorem
% 73.25/73.50 (* PROOF-FOUND *)
% 73.25/73.50 (* BEGIN-PROOF *)
% 73.25/73.50 % SZS output start Proof
% 73.25/73.50 1. (-. (has_immunity T_0 T_1)) (has_immunity T_0 T_1) ### Axiom
% 73.25/73.50 2. (greater (eta) (age T_0 T_1)) (-. (greater (eta) (age T_0 T_1))) ### Axiom
% 73.25/73.50 3. (-. (smaller (age T_0 T_1) (eta))) (greater (eta) (age T_0 T_1)) ### Extension/test/not_definition_smaller 2
% 73.25/73.50 4. (-. (smaller_or_equal (age T_0 T_1) (eta))) (greater (eta) (age T_0 T_1)) ### Extension/test/not_definition_smaller_or_equal 3
% 73.25/73.50 5. (has_endowment T_0) (greater (eta) (age T_0 T_1)) (-. (has_immunity T_0 T_1)) ### Extension/test/definition_1_inst 1 4 4
% 73.25/73.50 6. (organization T_0) (-. (organization T_0)) ### Axiom
% 73.25/73.50 7. (greater (age T_0 T_2) (eta)) (-. (greater (age T_0 T_2) (eta))) ### Axiom
% 73.25/73.50 8. (greater (age T_0 T_2) (eta)) (-. (greater (age T_0 T_2) (eta))) ### Axiom
% 73.25/73.50 9. (has_immunity T_0 T_2) (-. (has_immunity T_0 T_2)) ### Axiom
% 73.25/73.50 10. (has_endowment T_0) (has_immunity T_0 T_2) (greater (age T_0 T_2) (eta)) ### Extension/test/definition_1_inst 7 8 9
% 73.25/73.50 11. (-. (greater (hazard_of_mortality T_0 T_2) (hazard_of_mortality T_0 T_1))) (greater (age T_0 T_2) (eta)) (organization T_0) (greater (eta) (age T_0 T_1)) (has_endowment T_0) ### Extension/test/assumption_3ctrp 5 6 10
% 73.25/73.50 12. (organization T_0) (-. (organization T_0)) ### Axiom
% 73.25/73.50 13. (greater (eta) (sigma)) (-. (greater (eta) (sigma))) ### Axiom
% 73.25/73.50 14. (greater (sigma) (zero)) (-. (greater (sigma) (zero))) ### Axiom
% 73.25/73.50 15. (-. (greater (eta) (zero))) (greater (eta) (zero)) ### Axiom
% 73.25/73.50 16. (((greater (eta) (sigma)) /\ (greater (sigma) (zero))) => (greater (eta) (zero))) (-. (greater (eta) (zero))) (greater (sigma) (zero)) (greater (eta) (sigma)) ### DisjTree 13 14 15
% 73.25/73.50 17. (All Z, (((greater (eta) (sigma)) /\ (greater (sigma) Z)) => (greater (eta) Z))) (greater (eta) (sigma)) (greater (sigma) (zero)) (-. (greater (eta) (zero))) ### All 16
% 73.25/73.50 18. (All Y, (All Z, (((greater (eta) Y) /\ (greater Y Z)) => (greater (eta) Z)))) (-. (greater (eta) (zero))) (greater (sigma) (zero)) (greater (eta) (sigma)) ### All 17
% 73.25/73.50 19. (-. (has_immunity T_0 T_3)) (has_immunity T_0 T_3) ### Axiom
% 73.25/73.50 20. (greater (eta) (age T_0 T_3)) (-. (greater (eta) (age T_0 T_3))) ### Axiom
% 73.25/73.50 21. (-. (smaller (age T_0 T_3) (eta))) (greater (eta) (age T_0 T_3)) ### Extension/test/not_definition_smaller 20
% 73.25/73.50 22. (-. (smaller_or_equal (age T_0 T_3) (eta))) (greater (eta) (age T_0 T_3)) ### Extension/test/not_definition_smaller_or_equal 21
% 73.25/73.50 23. (has_endowment T_0) (greater (eta) (age T_0 T_3)) (-. (has_immunity T_0 T_3)) ### Extension/test/definition_1_inst 19 22 22
% 73.25/73.50 24. (smaller (age T_0 T_3) (eta)) (-. (has_immunity T_0 T_3)) (has_endowment T_0) ### Extension/test/definition_smaller 23
% 73.25/73.50 25. (-. (has_immunity T_0 T_3)) (has_immunity T_0 T_3) ### Axiom
% 73.25/73.50 26. ((age T_0 T_3) = (eta)) ((age T_0 T_3) != (eta)) ### Axiom
% 73.25/73.50 27. (-. (smaller_or_equal (age T_0 T_3) (eta))) ((age T_0 T_3) = (eta)) ### Extension/test/not_definition_smaller_or_equal 26
% 73.25/73.50 28. (has_endowment T_0) ((age T_0 T_3) = (eta)) (-. (has_immunity T_0 T_3)) ### Extension/test/definition_1_inst 25 27 27
% 73.25/73.50 29. ((age T_0 T_3) = (zero)) ((age T_0 T_3) != (zero)) ### Axiom
% 73.25/73.50 30. ((eta) != (eta)) ### NotEqual
% 73.25/73.50 31. (-. (greater (zero) (eta))) (greater (age T_0 T_3) (eta)) ((age T_0 T_3) = (zero)) ### P-NotP 29 30
% 73.25/73.50 32. ((smaller (age T_0 T_3) (eta)) \/ (((age T_0 T_3) = (eta)) \/ (greater (age T_0 T_3) (eta)))) ((age T_0 T_3) = (zero)) (-. (greater (zero) (eta))) (has_endowment T_0) (-. (has_immunity T_0 T_3)) ### DisjTree 24 28 31
% 73.25/73.50 33. (All Y, ((smaller (age T_0 T_3) Y) \/ (((age T_0 T_3) = Y) \/ (greater (age T_0 T_3) Y)))) (-. (has_immunity T_0 T_3)) (has_endowment T_0) (-. (greater (zero) (eta))) ((age T_0 T_3) = (zero)) ### All 32
% 73.25/73.50 34. (All X, (All Y, ((smaller X Y) \/ ((X = Y) \/ (greater X Y))))) ((age T_0 T_3) = (zero)) (-. (greater (zero) (eta))) (has_endowment T_0) (-. (has_immunity T_0 T_3)) ### All 33
% 73.25/73.50 35. (-. ((greater (eta) (zero)) /\ (greater (zero) (eta)))) (-. (has_immunity T_0 T_3)) (has_endowment T_0) ((age T_0 T_3) = (zero)) (All X, (All Y, ((smaller X Y) \/ ((X = Y) \/ (greater X Y))))) (greater (eta) (sigma)) (greater (sigma) (zero)) (All Y, (All Z, (((greater (eta) Y) /\ (greater Y Z)) => (greater (eta) Z)))) ### NotAnd 18 34
% 73.25/73.50 36. (All Y, (-. ((greater (eta) Y) /\ (greater Y (eta))))) (All Y, (All Z, (((greater (eta) Y) /\ (greater Y Z)) => (greater (eta) Z)))) (greater (sigma) (zero)) (greater (eta) (sigma)) (All X, (All Y, ((smaller X Y) \/ ((X = Y) \/ (greater X Y))))) ((age T_0 T_3) = (zero)) (has_endowment T_0) (-. (has_immunity T_0 T_3)) ### All 35
% 73.25/73.50 37. (All X, (All Y, (All Z, (((greater X Y) /\ (greater Y Z)) => (greater X Z))))) (-. (has_immunity T_0 T_3)) (has_endowment T_0) ((age T_0 T_3) = (zero)) (All X, (All Y, ((smaller X Y) \/ ((X = Y) \/ (greater X Y))))) (greater (eta) (sigma)) (greater (sigma) (zero)) (All Y, (-. ((greater (eta) Y) /\ (greater Y (eta))))) ### All 36
% 73.25/73.50 38. (All X, (All Y, (-. ((greater X Y) /\ (greater Y X))))) (greater (sigma) (zero)) (greater (eta) (sigma)) (All X, (All Y, ((smaller X Y) \/ ((X = Y) \/ (greater X Y))))) ((age T_0 T_3) = (zero)) (has_endowment T_0) (-. (has_immunity T_0 T_3)) (All X, (All Y, (All Z, (((greater X Y) /\ (greater Y Z)) => (greater X Z))))) ### All 37
% 73.25/73.50 39. ((hazard_of_mortality T_0 T_1) != (hazard_of_mortality T_0 T_3)) (All X, (All Y, (All Z, (((greater X Y) /\ (greater Y Z)) => (greater X Z))))) ((age T_0 T_3) = (zero)) (All X, (All Y, ((smaller X Y) \/ ((X = Y) \/ (greater X Y))))) (greater (eta) (sigma)) (greater (sigma) (zero)) (All X, (All Y, (-. ((greater X Y) /\ (greater Y X))))) (organization T_0) (greater (eta) (age T_0 T_1)) (has_endowment T_0) ### Extension/test/assumption_2ctrp 5 12 38
% 73.25/73.50 40. (-. ((greater (hazard_of_mortality T_0 T_2) (hazard_of_mortality T_0 T_1)) /\ ((hazard_of_mortality T_0 T_1) = (hazard_of_mortality T_0 T_3)))) (All X, (All Y, (-. ((greater X Y) /\ (greater Y X))))) (greater (sigma) (zero)) (greater (eta) (sigma)) (All X, (All Y, ((smaller X Y) \/ ((X = Y) \/ (greater X Y))))) ((age T_0 T_3) = (zero)) (All X, (All Y, (All Z, (((greater X Y) /\ (greater Y Z)) => (greater X Z))))) (has_endowment T_0) (greater (eta) (age T_0 T_1)) (organization T_0) (greater (age T_0 T_2) (eta)) ### NotAnd 11 39
% 73.25/73.50 41. (organization T_0) (-. (organization T_0)) ### Axiom
% 73.25/73.50 42. ((eta) = (sigma)) ((sigma) != (eta)) ### Sym(=)
% 73.25/73.50 43. ((zero) != (zero)) ### NotEqual
% 73.25/73.50 44. (-. (greater (eta) (zero))) (greater (sigma) (zero)) ((eta) = (sigma)) ### P-NotP 42 43
% 73.25/73.50 45. (-. ((greater (zero) (eta)) /\ (greater (eta) (zero)))) ((eta) = (sigma)) (greater (sigma) (zero)) (-. (has_immunity T_0 T_3)) (has_endowment T_0) ((age T_0 T_3) = (zero)) (All X, (All Y, ((smaller X Y) \/ ((X = Y) \/ (greater X Y))))) ### NotAnd 34 44
% 73.25/73.50 46. (All Y, (-. ((greater (zero) Y) /\ (greater Y (zero))))) (All X, (All Y, ((smaller X Y) \/ ((X = Y) \/ (greater X Y))))) ((age T_0 T_3) = (zero)) (has_endowment T_0) (-. (has_immunity T_0 T_3)) (greater (sigma) (zero)) ((eta) = (sigma)) ### All 45
% 73.25/73.50 47. (All X, (All Y, (-. ((greater X Y) /\ (greater Y X))))) ((eta) = (sigma)) (greater (sigma) (zero)) (-. (has_immunity T_0 T_3)) (has_endowment T_0) ((age T_0 T_3) = (zero)) (All X, (All Y, ((smaller X Y) \/ ((X = Y) \/ (greater X Y))))) ### All 46
% 73.25/73.50 48. ((hazard_of_mortality T_0 T_1) != (hazard_of_mortality T_0 T_3)) (All X, (All Y, ((smaller X Y) \/ ((X = Y) \/ (greater X Y))))) ((age T_0 T_3) = (zero)) (greater (sigma) (zero)) ((eta) = (sigma)) (All X, (All Y, (-. ((greater X Y) /\ (greater Y X))))) (organization T_0) (greater (eta) (age T_0 T_1)) (has_endowment T_0) ### Extension/test/assumption_2ctrp 5 41 47
% 73.25/73.50 49. (-. ((greater (hazard_of_mortality T_0 T_2) (hazard_of_mortality T_0 T_1)) /\ ((hazard_of_mortality T_0 T_1) = (hazard_of_mortality T_0 T_3)))) (All X, (All Y, (-. ((greater X Y) /\ (greater Y X))))) ((eta) = (sigma)) (greater (sigma) (zero)) ((age T_0 T_3) = (zero)) (All X, (All Y, ((smaller X Y) \/ ((X = Y) \/ (greater X Y))))) (has_endowment T_0) (greater (eta) (age T_0 T_1)) (organization T_0) (greater (age T_0 T_2) (eta)) ### NotAnd 11 48
% 73.25/73.50 50. (greater_or_equal (eta) (sigma)) (greater (age T_0 T_2) (eta)) (organization T_0) (greater (eta) (age T_0 T_1)) (has_endowment T_0) (All X, (All Y, (All Z, (((greater X Y) /\ (greater Y Z)) => (greater X Z))))) ((age T_0 T_3) = (zero)) (All X, (All Y, ((smaller X Y) \/ ((X = Y) \/ (greater X Y))))) (greater (sigma) (zero)) (All X, (All Y, (-. ((greater X Y) /\ (greater Y X))))) (-. ((greater (hazard_of_mortality T_0 T_2) (hazard_of_mortality T_0 T_1)) /\ ((hazard_of_mortality T_0 T_1) = (hazard_of_mortality T_0 T_3)))) ### Extension/test/definition_greater_or_equal 40 49
% 73.33/73.56 51. (smaller (age T_0 T_1) (eta)) (-. ((greater (hazard_of_mortality T_0 T_2) (hazard_of_mortality T_0 T_1)) /\ ((hazard_of_mortality T_0 T_1) = (hazard_of_mortality T_0 T_3)))) (All X, (All Y, (-. ((greater X Y) /\ (greater Y X))))) (greater (sigma) (zero)) (All X, (All Y, ((smaller X Y) \/ ((X = Y) \/ (greater X Y))))) ((age T_0 T_3) = (zero)) (All X, (All Y, (All Z, (((greater X Y) /\ (greater Y Z)) => (greater X Z))))) (has_endowment T_0) (organization T_0) (greater (age T_0 T_2) (eta)) (greater_or_equal (eta) (sigma)) ### Extension/test/definition_smaller 50
% 73.33/73.56 52. (-. (has_immunity T_0 T_1)) (has_immunity T_0 T_1) ### Axiom
% 73.33/73.56 53. ((age T_0 T_1) = (eta)) ((age T_0 T_1) != (eta)) ### Axiom
% 73.33/73.56 54. (-. (smaller_or_equal (age T_0 T_1) (eta))) ((age T_0 T_1) = (eta)) ### Extension/test/not_definition_smaller_or_equal 53
% 73.33/73.56 55. (has_endowment T_0) ((age T_0 T_1) = (eta)) (-. (has_immunity T_0 T_1)) ### Extension/test/definition_1_inst 52 54 54
% 73.33/73.56 56. (organization T_0) (-. (organization T_0)) ### Axiom
% 73.33/73.56 57. (-. (greater (hazard_of_mortality T_0 T_2) (hazard_of_mortality T_0 T_1))) (greater (age T_0 T_2) (eta)) (organization T_0) ((age T_0 T_1) = (eta)) (has_endowment T_0) ### Extension/test/assumption_3ctrp 55 56 10
% 73.33/73.56 58. (organization T_0) (-. (organization T_0)) ### Axiom
% 73.33/73.56 59. ((hazard_of_mortality T_0 T_1) != (hazard_of_mortality T_0 T_3)) (All X, (All Y, (All Z, (((greater X Y) /\ (greater Y Z)) => (greater X Z))))) ((age T_0 T_3) = (zero)) (All X, (All Y, ((smaller X Y) \/ ((X = Y) \/ (greater X Y))))) (greater (eta) (sigma)) (greater (sigma) (zero)) (All X, (All Y, (-. ((greater X Y) /\ (greater Y X))))) (organization T_0) ((age T_0 T_1) = (eta)) (has_endowment T_0) ### Extension/test/assumption_2ctrp 55 58 38
% 73.33/73.56 60. (-. ((greater (hazard_of_mortality T_0 T_2) (hazard_of_mortality T_0 T_1)) /\ ((hazard_of_mortality T_0 T_1) = (hazard_of_mortality T_0 T_3)))) (All X, (All Y, (-. ((greater X Y) /\ (greater Y X))))) (greater (sigma) (zero)) (greater (eta) (sigma)) (All X, (All Y, ((smaller X Y) \/ ((X = Y) \/ (greater X Y))))) ((age T_0 T_3) = (zero)) (All X, (All Y, (All Z, (((greater X Y) /\ (greater Y Z)) => (greater X Z))))) (has_endowment T_0) ((age T_0 T_1) = (eta)) (organization T_0) (greater (age T_0 T_2) (eta)) ### NotAnd 57 59
% 73.33/73.56 61. (organization T_0) (-. (organization T_0)) ### Axiom
% 73.33/73.56 62. ((hazard_of_mortality T_0 T_1) != (hazard_of_mortality T_0 T_3)) (All X, (All Y, ((smaller X Y) \/ ((X = Y) \/ (greater X Y))))) ((age T_0 T_3) = (zero)) (greater (sigma) (zero)) ((eta) = (sigma)) (All X, (All Y, (-. ((greater X Y) /\ (greater Y X))))) (organization T_0) ((age T_0 T_1) = (eta)) (has_endowment T_0) ### Extension/test/assumption_2ctrp 55 61 47
% 73.33/73.56 63. (-. ((greater (hazard_of_mortality T_0 T_2) (hazard_of_mortality T_0 T_1)) /\ ((hazard_of_mortality T_0 T_1) = (hazard_of_mortality T_0 T_3)))) (All X, (All Y, (-. ((greater X Y) /\ (greater Y X))))) ((eta) = (sigma)) (greater (sigma) (zero)) ((age T_0 T_3) = (zero)) (All X, (All Y, ((smaller X Y) \/ ((X = Y) \/ (greater X Y))))) (has_endowment T_0) ((age T_0 T_1) = (eta)) (organization T_0) (greater (age T_0 T_2) (eta)) ### NotAnd 57 62
% 73.33/73.56 64. (greater_or_equal (eta) (sigma)) (greater (age T_0 T_2) (eta)) (organization T_0) ((age T_0 T_1) = (eta)) (has_endowment T_0) (All X, (All Y, (All Z, (((greater X Y) /\ (greater Y Z)) => (greater X Z))))) ((age T_0 T_3) = (zero)) (All X, (All Y, ((smaller X Y) \/ ((X = Y) \/ (greater X Y))))) (greater (sigma) (zero)) (All X, (All Y, (-. ((greater X Y) /\ (greater Y X))))) (-. ((greater (hazard_of_mortality T_0 T_2) (hazard_of_mortality T_0 T_1)) /\ ((hazard_of_mortality T_0 T_1) = (hazard_of_mortality T_0 T_3)))) ### Extension/test/definition_greater_or_equal 60 63
% 73.33/73.56 65. (smaller_or_equal (age T_0 T_1) (eta)) (greater_or_equal (eta) (sigma)) (greater (age T_0 T_2) (eta)) (organization T_0) (has_endowment T_0) (All X, (All Y, (All Z, (((greater X Y) /\ (greater Y Z)) => (greater X Z))))) ((age T_0 T_3) = (zero)) (All X, (All Y, ((smaller X Y) \/ ((X = Y) \/ (greater X Y))))) (greater (sigma) (zero)) (All X, (All Y, (-. ((greater X Y) /\ (greater Y X))))) (-. ((greater (hazard_of_mortality T_0 T_2) (hazard_of_mortality T_0 T_1)) /\ ((hazard_of_mortality T_0 T_1) = (hazard_of_mortality T_0 T_3)))) ### Extension/test/definition_smaller_or_equal 51 64
% 73.33/73.56 66. (-. (((organization T_0) /\ ((has_endowment T_0) /\ (((age T_0 T_3) = (zero)) /\ ((smaller_or_equal (age T_0 T_1) (eta)) /\ ((greater (age T_0 T_2) (eta)) /\ ((greater_or_equal (eta) (sigma)) /\ (greater (sigma) (zero)))))))) => ((greater (hazard_of_mortality T_0 T_2) (hazard_of_mortality T_0 T_1)) /\ ((hazard_of_mortality T_0 T_1) = (hazard_of_mortality T_0 T_3))))) (All X, (All Y, (-. ((greater X Y) /\ (greater Y X))))) (All X, (All Y, ((smaller X Y) \/ ((X = Y) \/ (greater X Y))))) (All X, (All Y, (All Z, (((greater X Y) /\ (greater Y Z)) => (greater X Z))))) ### ConjTree 65
% 73.33/73.56 67. (-. (All T2, (((organization T_0) /\ ((has_endowment T_0) /\ (((age T_0 T_3) = (zero)) /\ ((smaller_or_equal (age T_0 T_1) (eta)) /\ ((greater (age T_0 T2) (eta)) /\ ((greater_or_equal (eta) (sigma)) /\ (greater (sigma) (zero)))))))) => ((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_3)))))) (All X, (All Y, (All Z, (((greater X Y) /\ (greater Y Z)) => (greater X Z))))) (All X, (All Y, ((smaller X Y) \/ ((X = Y) \/ (greater X Y))))) (All X, (All Y, (-. ((greater X Y) /\ (greater Y X))))) ### NotAllEx 66
% 73.33/73.56 68. (-. (All T1, (All T2, (((organization T_0) /\ ((has_endowment T_0) /\ (((age T_0 T_3) = (zero)) /\ ((smaller_or_equal (age T_0 T1) (eta)) /\ ((greater (age T_0 T2) (eta)) /\ ((greater_or_equal (eta) (sigma)) /\ (greater (sigma) (zero)))))))) => ((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_3))))))) (All X, (All Y, (-. ((greater X Y) /\ (greater Y X))))) (All X, (All Y, ((smaller X Y) \/ ((X = Y) \/ (greater X Y))))) (All X, (All Y, (All Z, (((greater X Y) /\ (greater Y Z)) => (greater X Z))))) ### NotAllEx 67
% 73.33/73.56 69. (-. (All T0, (All T1, (All T2, (((organization T_0) /\ ((has_endowment T_0) /\ (((age T_0 T0) = (zero)) /\ ((smaller_or_equal (age T_0 T1) (eta)) /\ ((greater (age T_0 T2) (eta)) /\ ((greater_or_equal (eta) (sigma)) /\ (greater (sigma) (zero)))))))) => ((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 Y, (All Z, (((greater X Y) /\ (greater Y Z)) => (greater X Z))))) (All X, (All Y, ((smaller X Y) \/ ((X = Y) \/ (greater X Y))))) (All X, (All Y, (-. ((greater X Y) /\ (greater Y X))))) ### NotAllEx 68
% 73.33/73.56 70. (-. (All X, (All T0, (All T1, (All T2, (((organization X) /\ ((has_endowment X) /\ (((age X T0) = (zero)) /\ ((smaller_or_equal (age X T1) (eta)) /\ ((greater (age X T2) (eta)) /\ ((greater_or_equal (eta) (sigma)) /\ (greater (sigma) (zero)))))))) => ((greater (hazard_of_mortality X T2) (hazard_of_mortality X T1)) /\ ((hazard_of_mortality X T1) = (hazard_of_mortality X T0))))))))) (All X, (All Y, (-. ((greater X Y) /\ (greater Y X))))) (All X, (All Y, ((smaller X Y) \/ ((X = Y) \/ (greater X Y))))) (All X, (All Y, (All Z, (((greater X Y) /\ (greater Y Z)) => (greater X Z))))) ### NotAllEx 69
% 73.33/73.56 % SZS output end Proof
% 73.33/73.56 (* END-PROOF *)
%------------------------------------------------------------------------------