TSTP Solution File: MGT060+1 by SuperZenon---0.0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SuperZenon---0.0.1
% Problem : MGT060+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 : n019.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 201.12s 201.33s
% Output : Proof 201.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : MGT060+1 : TPTP v8.1.0. Released v2.4.0.
% 0.06/0.12 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s
% 0.12/0.33 % Computer : n019.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Thu Jun 9 08:03:10 EDT 2022
% 0.12/0.33 % CPUTime :
% 201.12/201.33 % SZS status Theorem
% 201.12/201.33 (* PROOF-FOUND *)
% 201.12/201.33 (* BEGIN-PROOF *)
% 201.12/201.33 % SZS output start Proof
% 201.12/201.33 1. (organization T_0) (-. (organization T_0)) ### Axiom
% 201.12/201.33 2. (has_immunity T_0 T_1) (-. (has_immunity T_0 T_1)) ### Axiom
% 201.12/201.33 3. (organization T_0) (-. (organization T_0)) ### Axiom
% 201.12/201.33 4. (-. (has_immunity T_0 T_2)) (has_immunity T_0 T_2) ### Axiom
% 201.12/201.33 5. (-. (-. (has_immunity T_0 T_2))) (-. (has_immunity T_0 T_2)) ### NotNot 4
% 201.12/201.33 6. (-. (is_aligned T_0 T_2)) (is_aligned T_0 T_2) ### Axiom
% 201.12/201.33 7. (-. (is_aligned T_0 T_2)) (is_aligned T_0 T_2) ### Axiom
% 201.12/201.33 8. (-. (positional_advantage T_0 T_2)) (positional_advantage T_0 T_2) ### Axiom
% 201.12/201.33 9. ((hazard_of_mortality T_0 T_2) != (high)) ((hazard_of_mortality T_0 T_2) = (high)) ### Axiom
% 201.12/201.33 10. (((-. (is_aligned T_0 T_2)) /\ (-. (positional_advantage T_0 T_2))) => ((hazard_of_mortality T_0 T_2) = (high))) ((hazard_of_mortality T_0 T_2) != (high)) (-. (positional_advantage T_0 T_2)) (-. (is_aligned T_0 T_2)) ### DisjTree 7 8 9
% 201.12/201.33 11. ((hazard_of_mortality T_0 T_2) != (mod1)) ((hazard_of_mortality T_0 T_2) = (mod1)) ### Axiom
% 201.12/201.33 12. (((-. (is_aligned T_0 T_2)) /\ (positional_advantage T_0 T_2)) => ((hazard_of_mortality T_0 T_2) = (mod1))) ((hazard_of_mortality T_0 T_2) != (mod1)) ((hazard_of_mortality T_0 T_2) != (high)) (((-. (is_aligned T_0 T_2)) /\ (-. (positional_advantage T_0 T_2))) => ((hazard_of_mortality T_0 T_2) = (high))) (-. (is_aligned T_0 T_2)) ### DisjTree 6 10 11
% 201.12/201.33 13. (-. (positional_advantage T_0 T_2)) (positional_advantage T_0 T_2) ### Axiom
% 201.12/201.33 14. ((hazard_of_mortality T_0 T_2) != (mod2)) ((hazard_of_mortality T_0 T_2) = (mod2)) ### Axiom
% 201.12/201.33 15. (((is_aligned T_0 T_2) /\ (-. (positional_advantage T_0 T_2))) => ((hazard_of_mortality T_0 T_2) = (mod2))) ((hazard_of_mortality T_0 T_2) != (mod2)) (-. (positional_advantage T_0 T_2)) ((hazard_of_mortality T_0 T_2) != (high)) (((-. (is_aligned T_0 T_2)) /\ (-. (positional_advantage T_0 T_2))) => ((hazard_of_mortality T_0 T_2) = (high))) ### DisjTree 10 13 14
% 201.12/201.33 16. ((hazard_of_mortality T_0 T_2) != (low)) ((hazard_of_mortality T_0 T_2) = (low)) ### Axiom
% 201.12/201.33 17. (((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_2) != (low)) ((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) = (mod2))) (((-. (is_aligned T_0 T_2)) /\ (-. (positional_advantage T_0 T_2))) => ((hazard_of_mortality T_0 T_2) = (high))) ((hazard_of_mortality T_0 T_2) != (high)) ((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) = (mod1))) ### DisjTree 12 15 16
% 201.12/201.33 18. ((((is_aligned T_0 T_2) /\ (positional_advantage T_0 T_2)) => ((hazard_of_mortality T_0 T_2) = (low))) /\ ((((-. (is_aligned T_0 T_2)) /\ (positional_advantage T_0 T_2)) => ((hazard_of_mortality T_0 T_2) = (mod1))) /\ ((((is_aligned T_0 T_2) /\ (-. (positional_advantage T_0 T_2))) => ((hazard_of_mortality T_0 T_2) = (mod2))) /\ (((-. (is_aligned T_0 T_2)) /\ (-. (positional_advantage T_0 T_2))) => ((hazard_of_mortality T_0 T_2) = (high)))))) ((hazard_of_mortality T_0 T_2) != (mod1)) ((hazard_of_mortality T_0 T_2) != (high)) ((hazard_of_mortality T_0 T_2) != (mod2)) ((hazard_of_mortality T_0 T_2) != (low)) ### ConjTree 17
% 201.12/201.33 19. ((-. (has_immunity T_0 T_2)) => ((((is_aligned T_0 T_2) /\ (positional_advantage T_0 T_2)) => ((hazard_of_mortality T_0 T_2) = (low))) /\ ((((-. (is_aligned T_0 T_2)) /\ (positional_advantage T_0 T_2)) => ((hazard_of_mortality T_0 T_2) = (mod1))) /\ ((((is_aligned T_0 T_2) /\ (-. (positional_advantage T_0 T_2))) => ((hazard_of_mortality T_0 T_2) = (mod2))) /\ (((-. (is_aligned T_0 T_2)) /\ (-. (positional_advantage T_0 T_2))) => ((hazard_of_mortality T_0 T_2) = (high))))))) ((hazard_of_mortality T_0 T_2) != (low)) ((hazard_of_mortality T_0 T_2) != (mod2)) ((hazard_of_mortality T_0 T_2) != (high)) ((hazard_of_mortality T_0 T_2) != (mod1)) (-. (has_immunity T_0 T_2)) ### Imply 5 18
% 201.12/201.33 20. (((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)))))))) (-. (has_immunity T_0 T_2)) ((hazard_of_mortality T_0 T_2) != (mod1)) ((hazard_of_mortality T_0 T_2) != (high)) ((hazard_of_mortality T_0 T_2) != (mod2)) ((hazard_of_mortality T_0 T_2) != (low)) ### And 19
% 201.12/201.33 21. ((organization T_0) => (((has_immunity T_0 T_2) => ((hazard_of_mortality T_0 T_2) = (very_low))) /\ ((-. (has_immunity T_0 T_2)) => ((((is_aligned T_0 T_2) /\ (positional_advantage T_0 T_2)) => ((hazard_of_mortality T_0 T_2) = (low))) /\ ((((-. (is_aligned T_0 T_2)) /\ (positional_advantage T_0 T_2)) => ((hazard_of_mortality T_0 T_2) = (mod1))) /\ ((((is_aligned T_0 T_2) /\ (-. (positional_advantage T_0 T_2))) => ((hazard_of_mortality T_0 T_2) = (mod2))) /\ (((-. (is_aligned T_0 T_2)) /\ (-. (positional_advantage T_0 T_2))) => ((hazard_of_mortality T_0 T_2) = (high))))))))) ((hazard_of_mortality T_0 T_2) != (low)) ((hazard_of_mortality T_0 T_2) != (mod2)) ((hazard_of_mortality T_0 T_2) != (high)) ((hazard_of_mortality T_0 T_2) != (mod1)) (-. (has_immunity T_0 T_2)) (organization T_0) ### Imply 3 20
% 201.12/201.33 22. (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_immunity T_0 T_2)) ((hazard_of_mortality T_0 T_2) != (mod1)) ((hazard_of_mortality T_0 T_2) != (high)) ((hazard_of_mortality T_0 T_2) != (mod2)) ((hazard_of_mortality T_0 T_2) != (low)) ### All 21
% 201.12/201.33 23. (All X, (All T, ((organization X) => (((has_immunity X T) => ((hazard_of_mortality X T) = (very_low))) /\ ((-. (has_immunity X T)) => ((((is_aligned X T) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (low))) /\ ((((-. (is_aligned X T)) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (mod1))) /\ ((((is_aligned X T) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (mod2))) /\ (((-. (is_aligned X T)) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (high))))))))))) ((hazard_of_mortality T_0 T_2) != (low)) ((hazard_of_mortality T_0 T_2) != (mod2)) ((hazard_of_mortality T_0 T_2) != (high)) ((hazard_of_mortality T_0 T_2) != (mod1)) (-. (has_immunity T_0 T_2)) (organization T_0) ### All 22
% 201.12/201.33 24. ((low) != (low)) ### NotEqual
% 201.12/201.33 25. (-. (greater (hazard_of_mortality T_0 T_2) (low))) (greater (mod2) (low)) (organization T_0) (-. (has_immunity T_0 T_2)) ((hazard_of_mortality T_0 T_2) != (mod1)) ((hazard_of_mortality T_0 T_2) != (high)) ((hazard_of_mortality T_0 T_2) != (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))))))))))) ### Trans 23 24
% 201.12/201.33 26. ((mod1) != (mod1)) ### NotEqual
% 201.12/201.33 27. (-. (greater (hazard_of_mortality T_0 T_2) (mod1))) (greater (high) (mod1)) (All X, (All T, ((organization X) => (((has_immunity X T) => ((hazard_of_mortality X T) = (very_low))) /\ ((-. (has_immunity X T)) => ((((is_aligned X T) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (low))) /\ ((((-. (is_aligned X T)) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (mod1))) /\ ((((is_aligned X T) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (mod2))) /\ (((-. (is_aligned X T)) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (high))))))))))) ((hazard_of_mortality T_0 T_2) != (low)) ((hazard_of_mortality T_0 T_2) != (mod1)) (-. (has_immunity T_0 T_2)) (organization T_0) (greater (mod2) (low)) (-. (greater (hazard_of_mortality T_0 T_2) (low))) ### Trans 25 26
% 201.12/201.34 28. (greater (mod1) (low)) (-. (greater (hazard_of_mortality T_0 T_2) (low))) (greater (mod2) (low)) (organization T_0) (-. (has_immunity T_0 T_2)) ((hazard_of_mortality T_0 T_2) != (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))))))))))) (greater (high) (mod1)) ### Trans 27 24
% 201.12/201.34 29. ((very_low) != (very_low)) ### NotEqual
% 201.12/201.34 30. (-. (greater (hazard_of_mortality T_0 T_2) (very_low))) (greater (low) (very_low)) (greater (high) (mod1)) (All X, (All T, ((organization X) => (((has_immunity X T) => ((hazard_of_mortality X T) = (very_low))) /\ ((-. (has_immunity X T)) => ((((is_aligned X T) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (low))) /\ ((((-. (is_aligned X T)) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (mod1))) /\ ((((is_aligned X T) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (mod2))) /\ (((-. (is_aligned X T)) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (high))))))))))) (-. (has_immunity T_0 T_2)) (organization T_0) (greater (mod2) (low)) (greater (mod1) (low)) ### Trans 28 29
% 201.12/201.34 31. ((hazard_of_mortality T_0 T_1) != (hazard_of_mortality T_0 T_1)) ### Refl(=)
% 201.12/201.34 32. (-. (greater (hazard_of_mortality T_0 T_2) (hazard_of_mortality T_0 T_1))) ((hazard_of_mortality T_0 T_1) = (very_low)) (greater (mod1) (low)) (greater (mod2) (low)) (organization T_0) (-. (has_immunity 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 (high) (mod1)) (greater (low) (very_low)) ### TransEq2 30 30 31
% 201.12/201.34 33. ((has_immunity T_0 T_1) => ((hazard_of_mortality T_0 T_1) = (very_low))) (greater (low) (very_low)) (greater (high) (mod1)) (All X, (All T, ((organization X) => (((has_immunity X T) => ((hazard_of_mortality X T) = (very_low))) /\ ((-. (has_immunity X T)) => ((((is_aligned X T) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (low))) /\ ((((-. (is_aligned X T)) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (mod1))) /\ ((((is_aligned X T) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (mod2))) /\ (((-. (is_aligned X T)) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (high))))))))))) (-. (has_immunity T_0 T_2)) (organization T_0) (greater (mod2) (low)) (greater (mod1) (low)) (-. (greater (hazard_of_mortality T_0 T_2) (hazard_of_mortality T_0 T_1))) (has_immunity T_0 T_1) ### Imply 2 32
% 201.12/201.34 34. (((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)))))))) (has_immunity T_0 T_1) (-. (greater (hazard_of_mortality T_0 T_2) (hazard_of_mortality T_0 T_1))) (greater (mod1) (low)) (greater (mod2) (low)) (organization T_0) (-. (has_immunity 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 (high) (mod1)) (greater (low) (very_low)) ### And 33
% 201.12/201.34 35. ((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 (low) (very_low)) (greater (high) (mod1)) (All X, (All T, ((organization X) => (((has_immunity X T) => ((hazard_of_mortality X T) = (very_low))) /\ ((-. (has_immunity X T)) => ((((is_aligned X T) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (low))) /\ ((((-. (is_aligned X T)) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (mod1))) /\ ((((is_aligned X T) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (mod2))) /\ (((-. (is_aligned X T)) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (high))))))))))) (-. (has_immunity T_0 T_2)) (greater (mod2) (low)) (greater (mod1) (low)) (-. (greater (hazard_of_mortality T_0 T_2) (hazard_of_mortality T_0 T_1))) (has_immunity T_0 T_1) (organization T_0) ### Imply 1 34
% 201.12/201.34 36. (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_immunity T_0 T_1) (-. (greater (hazard_of_mortality T_0 T_2) (hazard_of_mortality T_0 T_1))) (greater (mod1) (low)) (greater (mod2) (low)) (-. (has_immunity 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 (high) (mod1)) (greater (low) (very_low)) ### All 35
% 201.12/201.34 37. (greater (low) (very_low)) (greater (high) (mod1)) (All X, (All T, ((organization X) => (((has_immunity X T) => ((hazard_of_mortality X T) = (very_low))) /\ ((-. (has_immunity X T)) => ((((is_aligned X T) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (low))) /\ ((((-. (is_aligned X T)) /\ (positional_advantage X T)) => ((hazard_of_mortality X T) = (mod1))) /\ ((((is_aligned X T) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (mod2))) /\ (((-. (is_aligned X T)) /\ (-. (positional_advantage X T))) => ((hazard_of_mortality X T) = (high))))))))))) (-. (has_immunity T_0 T_2)) (greater (mod2) (low)) (greater (mod1) (low)) (-. (greater (hazard_of_mortality T_0 T_2) (hazard_of_mortality T_0 T_1))) (has_immunity T_0 T_1) (organization T_0) ### All 36
% 201.12/201.35 38. (-. (((organization T_0) /\ ((has_immunity T_0 T_1) /\ (-. (has_immunity T_0 T_2)))) => (greater (hazard_of_mortality T_0 T_2) (hazard_of_mortality T_0 T_1)))) (greater (mod1) (low)) (greater (mod2) (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))))))))))) (greater (high) (mod1)) (greater (low) (very_low)) ### ConjTree 37
% 201.12/201.35 39. (-. (All T, (((organization T_0) /\ ((has_immunity T_0 T_1) /\ (-. (has_immunity T_0 T)))) => (greater (hazard_of_mortality T_0 T) (hazard_of_mortality T_0 T_1))))) (greater (low) (very_low)) (greater (high) (mod1)) (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 (mod2) (low)) (greater (mod1) (low)) ### NotAllEx 38
% 201.12/201.35 40. (-. (All T0, (All T, (((organization T_0) /\ ((has_immunity T_0 T0) /\ (-. (has_immunity T_0 T)))) => (greater (hazard_of_mortality T_0 T) (hazard_of_mortality T_0 T0)))))) (greater (mod1) (low)) (greater (mod2) (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))))))))))) (greater (high) (mod1)) (greater (low) (very_low)) ### NotAllEx 39
% 201.12/201.35 41. (-. (All X, (All T0, (All T, (((organization X) /\ ((has_immunity X T0) /\ (-. (has_immunity X T)))) => (greater (hazard_of_mortality X T) (hazard_of_mortality X T0))))))) (greater (low) (very_low)) (greater (high) (mod1)) (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 (mod2) (low)) (greater (mod1) (low)) ### NotAllEx 40
% 201.12/201.35 % SZS output end Proof
% 201.12/201.35 (* END-PROOF *)
%------------------------------------------------------------------------------