TSTP Solution File: MGT057+1 by SuperZenon---0.0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SuperZenon---0.0.1
% Problem : MGT057+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_super_zenon -p0 -itptp -om -max-time %d %s
% Computer : n024.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sun Jul 17 22:27:07 EDT 2022
% Result : Theorem 24.95s 25.20s
% Output : Proof 25.10s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : MGT057+1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.12 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s
% 0.13/0.33 % Computer : n024.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
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Thu Jun 9 12:17:04 EDT 2022
% 0.13/0.33 % CPUTime :
% 24.95/25.20 % SZS status Theorem
% 24.95/25.20 (* PROOF-FOUND *)
% 24.95/25.20 (* BEGIN-PROOF *)
% 24.95/25.20 % SZS output start Proof
% 24.95/25.20 1. (-. (has_immunity T_0 T_1)) (has_immunity T_0 T_1) ### Axiom
% 24.95/25.20 2. (greater (eta) (age T_0 T_1)) (-. (greater (eta) (age T_0 T_1))) ### Axiom
% 24.95/25.20 3. (-. (smaller (age T_0 T_1) (eta))) (greater (eta) (age T_0 T_1)) ### Extension/test/not_definition_smaller 2
% 24.95/25.20 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
% 24.95/25.20 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
% 24.95/25.20 6. (organization T_0) (-. (organization T_0)) ### Axiom
% 24.95/25.20 7. (greater (age T_0 T_2) (eta)) (-. (greater (age T_0 T_2) (eta))) ### Axiom
% 24.95/25.20 8. (greater (age T_0 T_2) (eta)) (-. (greater (age T_0 T_2) (eta))) ### Axiom
% 24.95/25.20 9. (has_immunity T_0 T_2) (-. (has_immunity T_0 T_2)) ### Axiom
% 24.95/25.20 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
% 24.95/25.20 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
% 24.95/25.20 12. (organization T_0) (-. (organization T_0)) ### Axiom
% 24.95/25.20 13. (greater (eta) (zero)) (-. (greater (eta) (zero))) ### Axiom
% 24.95/25.20 14. (-. (has_immunity T_0 T_3)) (has_immunity T_0 T_3) ### Axiom
% 24.95/25.20 15. (greater (eta) (age T_0 T_3)) (-. (greater (eta) (age T_0 T_3))) ### Axiom
% 24.95/25.20 16. (-. (smaller (age T_0 T_3) (eta))) (greater (eta) (age T_0 T_3)) ### Extension/test/not_definition_smaller 15
% 24.95/25.20 17. (-. (smaller_or_equal (age T_0 T_3) (eta))) (greater (eta) (age T_0 T_3)) ### Extension/test/not_definition_smaller_or_equal 16
% 24.95/25.20 18. (has_endowment T_0) (greater (eta) (age T_0 T_3)) (-. (has_immunity T_0 T_3)) ### Extension/test/definition_1_inst 14 17 17
% 24.95/25.20 19. (smaller (age T_0 T_3) (eta)) (-. (has_immunity T_0 T_3)) (has_endowment T_0) ### Extension/test/definition_smaller 18
% 24.95/25.20 20. (-. (has_immunity T_0 T_3)) (has_immunity T_0 T_3) ### Axiom
% 24.95/25.20 21. ((age T_0 T_3) = (eta)) ((age T_0 T_3) != (eta)) ### Axiom
% 24.95/25.20 22. (-. (smaller_or_equal (age T_0 T_3) (eta))) ((age T_0 T_3) = (eta)) ### Extension/test/not_definition_smaller_or_equal 21
% 24.95/25.20 23. (has_endowment T_0) ((age T_0 T_3) = (eta)) (-. (has_immunity T_0 T_3)) ### Extension/test/definition_1_inst 20 22 22
% 24.95/25.20 24. ((age T_0 T_3) = (zero)) ((age T_0 T_3) != (zero)) ### Axiom
% 24.95/25.20 25. ((eta) != (eta)) ### NotEqual
% 24.95/25.20 26. (-. (greater (zero) (eta))) (greater (age T_0 T_3) (eta)) ((age T_0 T_3) = (zero)) ### P-NotP 24 25
% 24.95/25.20 27. ((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 19 23 26
% 24.95/25.20 28. (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 27
% 24.95/25.20 29. (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 28
% 24.95/25.20 30. (-. ((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) (zero)) ### NotAnd 13 29
% 24.95/25.20 31. (All Y, (-. ((greater (eta) Y) /\ (greater Y (eta))))) (greater (eta) (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)) ### All 30
% 24.95/25.20 32. (All X, (All Y, (-. ((greater X Y) /\ (greater Y X))))) (-. (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) (zero)) ### All 31
% 24.95/25.20 33. ((hazard_of_mortality T_0 T_1) != (hazard_of_mortality T_0 T_3)) (greater (eta) (zero)) (All X, (All Y, ((smaller X Y) \/ ((X = Y) \/ (greater X Y))))) ((age T_0 T_3) = (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 32
% 24.95/25.20 34. (-. ((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))))) ((age T_0 T_3) = (zero)) (All X, (All Y, ((smaller X Y) \/ ((X = Y) \/ (greater X Y))))) (greater (eta) (zero)) (has_endowment T_0) (greater (eta) (age T_0 T_1)) (organization T_0) (greater (age T_0 T_2) (eta)) ### NotAnd 11 33
% 24.95/25.20 35. (smaller (age T_0 T_1) (eta)) (greater (age T_0 T_2) (eta)) (organization T_0) (has_endowment T_0) (greater (eta) (zero)) (All X, (All Y, ((smaller X Y) \/ ((X = Y) \/ (greater X Y))))) ((age T_0 T_3) = (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 34
% 24.95/25.20 36. (-. (has_immunity T_0 T_1)) (has_immunity T_0 T_1) ### Axiom
% 24.95/25.20 37. ((age T_0 T_1) = (eta)) ((age T_0 T_1) != (eta)) ### Axiom
% 24.95/25.20 38. (-. (smaller_or_equal (age T_0 T_1) (eta))) ((age T_0 T_1) = (eta)) ### Extension/test/not_definition_smaller_or_equal 37
% 24.95/25.20 39. (has_endowment T_0) ((age T_0 T_1) = (eta)) (-. (has_immunity T_0 T_1)) ### Extension/test/definition_1_inst 36 38 38
% 24.95/25.20 40. (organization T_0) (-. (organization T_0)) ### Axiom
% 24.95/25.20 41. (-. (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 39 40 10
% 24.95/25.20 42. (organization T_0) (-. (organization T_0)) ### Axiom
% 24.95/25.20 43. ((age T_0 T_3) != (age T_0 T_3)) ### Refl(=)
% 24.95/25.20 44. ((age T_0 T_1) != (age T_0 T_1)) ### Refl(=)
% 24.95/25.20 45. (-. (greater (zero) (age T_0 T_1))) (greater (zero) (age T_0 T_1)) ### Axiom
% 24.95/25.20 46. (smaller (age T_0 T_1) (zero)) (-. (greater (zero) (age T_0 T_1))) ### Extension/test/definition_smaller 45
% 24.95/25.20 47. ((zero) != (age T_0 T_1)) ((age T_0 T_1) = (zero)) ### Sym(=)
% 24.95/25.20 48. ((age T_0 T_1) = (eta)) ((age T_0 T_1) != (eta)) ### Axiom
% 24.95/25.20 49. ((age T_0 T_3) = (zero)) ((zero) != (age T_0 T_3)) ### Sym(=)
% 24.95/25.20 50. (-. (greater (eta) (age T_0 T_3))) (greater (age T_0 T_1) (zero)) ((age T_0 T_3) = (zero)) ((age T_0 T_1) = (eta)) ### P-NotP 48 49
% 24.95/25.20 51. ((eta) != (age T_0 T_3)) ((age T_0 T_3) = (eta)) ### Sym(=)
% 24.95/25.20 52. (-. (greater (age T_0 T_3) (eta))) (greater (age T_0 T_3) (eta)) ### Axiom
% 24.95/25.20 53. ((smaller (age T_0 T_3) (eta)) \/ (((age T_0 T_3) = (eta)) \/ (greater (age T_0 T_3) (eta)))) (-. (greater (age T_0 T_3) (eta))) ((eta) != (age T_0 T_3)) (has_endowment T_0) (-. (has_immunity T_0 T_3)) ### DisjTree 19 51 52
% 24.95/25.20 54. (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) ((eta) != (age T_0 T_3)) (-. (greater (age T_0 T_3) (eta))) ### All 53
% 24.95/25.20 55. (All X, (All Y, ((smaller X Y) \/ ((X = Y) \/ (greater X Y))))) (-. (greater (age T_0 T_3) (eta))) ((eta) != (age T_0 T_3)) (has_endowment T_0) (-. (has_immunity T_0 T_3)) ### All 54
% 24.95/25.20 56. (-. (greater (eta) (eta))) (greater (eta) (eta)) ### Axiom
% 24.95/25.20 57. (((greater (eta) (age T_0 T_3)) /\ (greater (age T_0 T_3) (eta))) => (greater (eta) (eta))) (-. (greater (eta) (eta))) (-. (has_immunity T_0 T_3)) (has_endowment T_0) ((eta) != (age T_0 T_3)) (All X, (All Y, ((smaller X Y) \/ ((X = Y) \/ (greater X Y))))) ((age T_0 T_1) = (eta)) ((age T_0 T_3) = (zero)) (greater (age T_0 T_1) (zero)) ### DisjTree 50 55 56
% 24.95/25.20 58. (All Z, (((greater (eta) (age T_0 T_3)) /\ (greater (age T_0 T_3) Z)) => (greater (eta) Z))) (greater (age T_0 T_1) (zero)) ((age T_0 T_3) = (zero)) ((age T_0 T_1) = (eta)) (All X, (All Y, ((smaller X Y) \/ ((X = Y) \/ (greater X Y))))) ((eta) != (age T_0 T_3)) (has_endowment T_0) (-. (has_immunity T_0 T_3)) (-. (greater (eta) (eta))) ### All 57
% 24.95/25.20 59. (All Y, (All Z, (((greater (eta) Y) /\ (greater Y Z)) => (greater (eta) Z)))) (-. (greater (eta) (eta))) (-. (has_immunity T_0 T_3)) (has_endowment T_0) ((eta) != (age T_0 T_3)) (All X, (All Y, ((smaller X Y) \/ ((X = Y) \/ (greater X Y))))) ((age T_0 T_1) = (eta)) ((age T_0 T_3) = (zero)) (greater (age T_0 T_1) (zero)) ### All 58
% 25.10/25.33 60. ((smaller (age T_0 T_1) (zero)) \/ (((age T_0 T_1) = (zero)) \/ (greater (age T_0 T_1) (zero)))) ((age T_0 T_3) = (zero)) ((age T_0 T_1) = (eta)) (All X, (All Y, ((smaller X Y) \/ ((X = Y) \/ (greater X Y))))) ((eta) != (age T_0 T_3)) (has_endowment T_0) (-. (has_immunity T_0 T_3)) (-. (greater (eta) (eta))) (All Y, (All Z, (((greater (eta) Y) /\ (greater Y Z)) => (greater (eta) Z)))) ((zero) != (age T_0 T_1)) (-. (greater (zero) (age T_0 T_1))) ### DisjTree 46 47 59
% 25.10/25.33 61. (All Y, ((smaller (age T_0 T_1) Y) \/ (((age T_0 T_1) = Y) \/ (greater (age T_0 T_1) Y)))) (-. (greater (zero) (age T_0 T_1))) ((zero) != (age T_0 T_1)) (All Y, (All Z, (((greater (eta) Y) /\ (greater Y Z)) => (greater (eta) Z)))) (-. (greater (eta) (eta))) (-. (has_immunity T_0 T_3)) (has_endowment T_0) ((eta) != (age T_0 T_3)) (All X, (All Y, ((smaller X Y) \/ ((X = Y) \/ (greater X Y))))) ((age T_0 T_1) = (eta)) ((age T_0 T_3) = (zero)) ### All 60
% 25.10/25.33 62. ((age T_0 T_3) = (zero)) ((age T_0 T_1) = (eta)) (All X, (All Y, ((smaller X Y) \/ ((X = Y) \/ (greater X Y))))) ((eta) != (age T_0 T_3)) (has_endowment T_0) (-. (has_immunity T_0 T_3)) (-. (greater (eta) (eta))) (All Y, (All Z, (((greater (eta) Y) /\ (greater Y Z)) => (greater (eta) Z)))) ((zero) != (age T_0 T_1)) (-. (greater (zero) (age T_0 T_1))) ### All 61
% 25.10/25.33 63. ((age T_0 T_1) = (eta)) ((eta) != (age T_0 T_1)) ### Sym(=)
% 25.10/25.33 64. ((zero) != (zero)) ### NotEqual
% 25.10/25.33 65. (-. (greater (age T_0 T_1) (zero))) (greater (eta) (zero)) ((age T_0 T_1) = (eta)) ### P-NotP 63 64
% 25.10/25.33 66. (-. ((greater (zero) (age T_0 T_1)) /\ (greater (age T_0 T_1) (zero)))) (greater (eta) (zero)) ((zero) != (age T_0 T_1)) (All Y, (All Z, (((greater (eta) Y) /\ (greater Y Z)) => (greater (eta) Z)))) (-. (greater (eta) (eta))) (-. (has_immunity T_0 T_3)) (has_endowment T_0) ((eta) != (age T_0 T_3)) (All X, (All Y, ((smaller X Y) \/ ((X = Y) \/ (greater X Y))))) ((age T_0 T_1) = (eta)) ((age T_0 T_3) = (zero)) ### NotAnd 62 65
% 25.10/25.33 67. (All Y, (-. ((greater (zero) Y) /\ (greater Y (zero))))) ((age T_0 T_3) = (zero)) ((age T_0 T_1) = (eta)) (All X, (All Y, ((smaller X Y) \/ ((X = Y) \/ (greater X Y))))) ((eta) != (age T_0 T_3)) (has_endowment T_0) (-. (has_immunity T_0 T_3)) (-. (greater (eta) (eta))) (All Y, (All Z, (((greater (eta) Y) /\ (greater Y Z)) => (greater (eta) Z)))) ((zero) != (age T_0 T_1)) (greater (eta) (zero)) ### All 66
% 25.10/25.33 68. (-. ((greater (eta) (eta)) /\ (greater (eta) (eta)))) (greater (eta) (zero)) ((zero) != (age T_0 T_1)) (All Y, (All Z, (((greater (eta) Y) /\ (greater Y Z)) => (greater (eta) Z)))) (-. (has_immunity T_0 T_3)) (has_endowment T_0) ((eta) != (age T_0 T_3)) (All X, (All Y, ((smaller X Y) \/ ((X = Y) \/ (greater X Y))))) ((age T_0 T_1) = (eta)) ((age T_0 T_3) = (zero)) (All Y, (-. ((greater (zero) Y) /\ (greater Y (zero))))) ### NotAnd 67 67
% 25.10/25.33 69. (All Y, (-. ((greater (eta) Y) /\ (greater Y (eta))))) (All Y, (-. ((greater (zero) Y) /\ (greater Y (zero))))) ((age T_0 T_3) = (zero)) ((age T_0 T_1) = (eta)) (All X, (All Y, ((smaller X Y) \/ ((X = Y) \/ (greater X Y))))) ((eta) != (age T_0 T_3)) (has_endowment T_0) (-. (has_immunity T_0 T_3)) (All Y, (All Z, (((greater (eta) Y) /\ (greater Y Z)) => (greater (eta) Z)))) ((zero) != (age T_0 T_1)) (greater (eta) (zero)) ### All 68
% 25.10/25.33 70. (All X, (All Y, (All Z, (((greater X Y) /\ (greater Y Z)) => (greater X Z))))) (greater (eta) (zero)) ((zero) != (age T_0 T_1)) (-. (has_immunity T_0 T_3)) (has_endowment T_0) ((eta) != (age T_0 T_3)) (All X, (All Y, ((smaller X Y) \/ ((X = Y) \/ (greater X Y))))) ((age T_0 T_1) = (eta)) ((age T_0 T_3) = (zero)) (All Y, (-. ((greater (zero) Y) /\ (greater Y (zero))))) (All Y, (-. ((greater (eta) Y) /\ (greater Y (eta))))) ### All 69
% 25.10/25.33 71. (All X, (All Y, (-. ((greater X Y) /\ (greater Y X))))) (All Y, (-. ((greater (zero) Y) /\ (greater Y (zero))))) ((age T_0 T_3) = (zero)) ((age T_0 T_1) = (eta)) (All X, (All Y, ((smaller X Y) \/ ((X = Y) \/ (greater X Y))))) ((eta) != (age T_0 T_3)) (has_endowment T_0) (-. (has_immunity T_0 T_3)) ((zero) != (age T_0 T_1)) (greater (eta) (zero)) (All X, (All Y, (All Z, (((greater X Y) /\ (greater Y Z)) => (greater X Z))))) ### All 70
% 25.10/25.33 72. (All X, (All Y, (All Z, (((greater X Y) /\ (greater Y Z)) => (greater X Z))))) (greater (eta) (zero)) ((zero) != (age T_0 T_1)) (-. (has_immunity T_0 T_3)) (has_endowment T_0) ((eta) != (age T_0 T_3)) (All X, (All Y, ((smaller X Y) \/ ((X = Y) \/ (greater X Y))))) ((age T_0 T_1) = (eta)) ((age T_0 T_3) = (zero)) (All X, (All Y, (-. ((greater X Y) /\ (greater Y X))))) ### All 71
% 25.10/25.33 73. ((age T_0 T_3) != (age T_0 T_1)) (All X, (All Y, (-. ((greater X Y) /\ (greater Y X))))) ((age T_0 T_3) = (zero)) ((age T_0 T_1) = (eta)) (All X, (All Y, ((smaller X Y) \/ ((X = Y) \/ (greater X Y))))) (has_endowment T_0) (-. (has_immunity T_0 T_3)) ((zero) != (age T_0 T_1)) (greater (eta) (zero)) (All X, (All Y, (All Z, (((greater X Y) /\ (greater Y Z)) => (greater X Z))))) ### Trans-sym 44 72
% 25.10/25.33 74. (All X, (All Y, (All Z, (((greater X Y) /\ (greater Y Z)) => (greater X Z))))) (greater (eta) (zero)) (-. (has_immunity T_0 T_3)) (has_endowment T_0) (All X, (All Y, ((smaller X Y) \/ ((X = Y) \/ (greater X Y))))) ((age T_0 T_1) = (eta)) ((age T_0 T_3) = (zero)) (All X, (All Y, (-. ((greater X Y) /\ (greater Y X))))) ((age T_0 T_3) != (age T_0 T_1)) ### Trans 43 73
% 25.10/25.33 75. (-. (greater (age T_0 T_1) (eta))) (greater (age T_0 T_3) (eta)) (All X, (All Y, (-. ((greater X Y) /\ (greater Y X))))) ((age T_0 T_3) = (zero)) ((age T_0 T_1) = (eta)) (All X, (All Y, ((smaller X Y) \/ ((X = Y) \/ (greater X Y))))) (has_endowment T_0) (-. (has_immunity T_0 T_3)) (greater (eta) (zero)) (All X, (All Y, (All Z, (((greater X Y) /\ (greater Y Z)) => (greater X Z))))) ### P-NotP 74 25
% 25.10/25.33 76. ((smaller (age T_0 T_3) (eta)) \/ (((age T_0 T_3) = (eta)) \/ (greater (age T_0 T_3) (eta)))) (All X, (All Y, (All Z, (((greater X Y) /\ (greater Y Z)) => (greater X Z))))) (greater (eta) (zero)) (All X, (All Y, ((smaller X Y) \/ ((X = Y) \/ (greater X Y))))) ((age T_0 T_1) = (eta)) ((age T_0 T_3) = (zero)) (All X, (All Y, (-. ((greater X Y) /\ (greater Y X))))) (-. (greater (age T_0 T_1) (eta))) (has_endowment T_0) (-. (has_immunity T_0 T_3)) ### DisjTree 19 23 75
% 25.10/25.33 77. (greater (eta) (zero)) (-. (greater (eta) (zero))) ### Axiom
% 25.10/25.33 78. (-. (greater (age T_0 T_3) (eta))) (greater (age T_0 T_3) (eta)) ### Axiom
% 25.10/25.33 79. ((smaller (age T_0 T_3) (eta)) \/ (((age T_0 T_3) = (eta)) \/ (greater (age T_0 T_3) (eta)))) (-. (greater (age T_0 T_3) (eta))) (has_endowment T_0) (-. (has_immunity T_0 T_3)) ### DisjTree 19 23 78
% 25.10/25.33 80. (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 (age T_0 T_3) (eta))) ### All 79
% 25.10/25.33 81. (All X, (All Y, ((smaller X Y) \/ ((X = Y) \/ (greater X Y))))) (-. (greater (age T_0 T_3) (eta))) (has_endowment T_0) (-. (has_immunity T_0 T_3)) ### All 80
% 25.10/25.33 82. (-. ((greater (age T_0 T_3) (eta)) /\ (greater (eta) (age T_0 T_3)))) ((age T_0 T_1) = (eta)) ((age T_0 T_3) = (zero)) (greater (age T_0 T_1) (zero)) (-. (has_immunity T_0 T_3)) (has_endowment T_0) (All X, (All Y, ((smaller X Y) \/ ((X = Y) \/ (greater X Y))))) ### NotAnd 81 50
% 25.10/25.33 83. (All Y, (-. ((greater (age T_0 T_3) Y) /\ (greater Y (age T_0 T_3))))) (All X, (All Y, ((smaller X Y) \/ ((X = Y) \/ (greater X Y))))) (has_endowment T_0) (-. (has_immunity T_0 T_3)) (greater (age T_0 T_1) (zero)) ((age T_0 T_3) = (zero)) ((age T_0 T_1) = (eta)) ### All 82
% 25.10/25.33 84. (All X, (All Y, (-. ((greater X Y) /\ (greater Y X))))) ((age T_0 T_1) = (eta)) ((age T_0 T_3) = (zero)) (greater (age T_0 T_1) (zero)) (-. (has_immunity T_0 T_3)) (has_endowment T_0) (All X, (All Y, ((smaller X Y) \/ ((X = Y) \/ (greater X Y))))) ### All 83
% 25.10/25.33 85. (((greater (age T_0 T_1) (eta)) /\ (greater (eta) (zero))) => (greater (age T_0 T_1) (zero))) (-. (has_immunity T_0 T_3)) (has_endowment T_0) (All X, (All Y, (-. ((greater X Y) /\ (greater Y X))))) ((age T_0 T_3) = (zero)) ((age T_0 T_1) = (eta)) (All X, (All Y, ((smaller X Y) \/ ((X = Y) \/ (greater X Y))))) (greater (eta) (zero)) (All X, (All Y, (All Z, (((greater X Y) /\ (greater Y Z)) => (greater X Z))))) ((smaller (age T_0 T_3) (eta)) \/ (((age T_0 T_3) = (eta)) \/ (greater (age T_0 T_3) (eta)))) ### DisjTree 76 77 84
% 25.10/25.35 86. (All Z, (((greater (age T_0 T_1) (eta)) /\ (greater (eta) Z)) => (greater (age T_0 T_1) Z))) ((smaller (age T_0 T_3) (eta)) \/ (((age T_0 T_3) = (eta)) \/ (greater (age T_0 T_3) (eta)))) (All X, (All Y, (All Z, (((greater X Y) /\ (greater Y Z)) => (greater X Z))))) (greater (eta) (zero)) (All X, (All Y, ((smaller X Y) \/ ((X = Y) \/ (greater X Y))))) ((age T_0 T_1) = (eta)) ((age T_0 T_3) = (zero)) (All X, (All Y, (-. ((greater X Y) /\ (greater Y X))))) (has_endowment T_0) (-. (has_immunity T_0 T_3)) ### All 85
% 25.10/25.35 87. (All Y, (All Z, (((greater (age T_0 T_1) Y) /\ (greater Y Z)) => (greater (age T_0 T_1) Z)))) (-. (has_immunity T_0 T_3)) (has_endowment T_0) (All X, (All Y, (-. ((greater X Y) /\ (greater Y X))))) ((age T_0 T_3) = (zero)) ((age T_0 T_1) = (eta)) (All X, (All Y, ((smaller X Y) \/ ((X = Y) \/ (greater X Y))))) (greater (eta) (zero)) (All X, (All Y, (All Z, (((greater X Y) /\ (greater Y Z)) => (greater X Z))))) ((smaller (age T_0 T_3) (eta)) \/ (((age T_0 T_3) = (eta)) \/ (greater (age T_0 T_3) (eta)))) ### All 86
% 25.10/25.35 88. ((smaller (age T_0 T_3) (eta)) \/ (((age T_0 T_3) = (eta)) \/ (greater (age T_0 T_3) (eta)))) (All X, (All Y, (All Z, (((greater X Y) /\ (greater Y Z)) => (greater X Z))))) (greater (eta) (zero)) (All X, (All Y, ((smaller X Y) \/ ((X = Y) \/ (greater X Y))))) ((age T_0 T_1) = (eta)) ((age T_0 T_3) = (zero)) (All X, (All Y, (-. ((greater X Y) /\ (greater Y X))))) (has_endowment T_0) (-. (has_immunity T_0 T_3)) ### All 87
% 25.10/25.35 89. (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) (All X, (All Y, (-. ((greater X Y) /\ (greater Y X))))) ((age T_0 T_3) = (zero)) ((age T_0 T_1) = (eta)) (All X, (All Y, ((smaller X Y) \/ ((X = Y) \/ (greater X Y))))) (greater (eta) (zero)) (All X, (All Y, (All Z, (((greater X Y) /\ (greater Y Z)) => (greater X Z))))) ### All 88
% 25.10/25.35 90. (All X, (All Y, (All Z, (((greater X Y) /\ (greater Y Z)) => (greater X Z))))) (greater (eta) (zero)) (All X, (All Y, ((smaller X Y) \/ ((X = Y) \/ (greater X Y))))) ((age T_0 T_1) = (eta)) ((age T_0 T_3) = (zero)) (All X, (All Y, (-. ((greater X Y) /\ (greater Y X))))) (has_endowment T_0) (-. (has_immunity T_0 T_3)) ### All 89
% 25.10/25.35 91. ((hazard_of_mortality T_0 T_1) != (hazard_of_mortality T_0 T_3)) (All X, (All Y, (-. ((greater X Y) /\ (greater Y X))))) ((age T_0 T_3) = (zero)) (All X, (All Y, ((smaller X Y) \/ ((X = Y) \/ (greater X Y))))) (greater (eta) (zero)) (All X, (All Y, (All Z, (((greater X Y) /\ (greater Y Z)) => (greater X Z))))) (organization T_0) ((age T_0 T_1) = (eta)) (has_endowment T_0) ### Extension/test/assumption_2ctrp 39 42 90
% 25.10/25.35 92. (-. ((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, (All Z, (((greater X Y) /\ (greater Y Z)) => (greater X Z))))) (greater (eta) (zero)) (All X, (All Y, ((smaller X Y) \/ ((X = Y) \/ (greater X Y))))) ((age T_0 T_3) = (zero)) (All X, (All Y, (-. ((greater X Y) /\ (greater Y X))))) (has_endowment T_0) ((age T_0 T_1) = (eta)) (organization T_0) (greater (age T_0 T_2) (eta)) ### NotAnd 41 91
% 25.10/25.35 93. (smaller_or_equal (age T_0 T_1) (eta)) (All X, (All Y, (All Z, (((greater X Y) /\ (greater Y Z)) => (greater X Z))))) (-. ((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))))) ((age T_0 T_3) = (zero)) (All X, (All Y, ((smaller X Y) \/ ((X = Y) \/ (greater X Y))))) (greater (eta) (zero)) (has_endowment T_0) (organization T_0) (greater (age T_0 T_2) (eta)) ### Extension/test/definition_smaller_or_equal 35 92
% 25.10/25.35 94. (-. (((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 (eta) (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, ((smaller X Y) \/ ((X = Y) \/ (greater X Y))))) (All X, (All Y, (-. ((greater X Y) /\ (greater Y X))))) (All X, (All Y, (All Z, (((greater X Y) /\ (greater Y Z)) => (greater X Z))))) ### ConjTree 93
% 25.10/25.35 95. (-. (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 (eta) (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, (-. ((greater X Y) /\ (greater Y X))))) (All X, (All Y, ((smaller X Y) \/ ((X = Y) \/ (greater X Y))))) ### NotAllEx 94
% 25.10/25.35 96. (-. (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 (eta) (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, ((smaller X Y) \/ ((X = Y) \/ (greater X Y))))) (All X, (All Y, (-. ((greater X Y) /\ (greater Y X))))) (All X, (All Y, (All Z, (((greater X Y) /\ (greater Y Z)) => (greater X Z))))) ### NotAllEx 95
% 25.10/25.35 97. (-. (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 (eta) (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, (-. ((greater X Y) /\ (greater Y X))))) (All X, (All Y, ((smaller X Y) \/ ((X = Y) \/ (greater X Y))))) ### NotAllEx 96
% 25.10/25.35 98. (-. (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 (eta) (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, ((smaller X Y) \/ ((X = Y) \/ (greater X Y))))) (All X, (All Y, (-. ((greater X Y) /\ (greater Y X))))) (All X, (All Y, (All Z, (((greater X Y) /\ (greater Y Z)) => (greater X Z))))) ### NotAllEx 97
% 25.10/25.35 % SZS output end Proof
% 25.10/25.35 (* END-PROOF *)
%------------------------------------------------------------------------------