TSTP Solution File: PHI015+1 by SuperZenon---0.0.1
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%------------------------------------------------------------------------------
% File : SuperZenon---0.0.1
% Problem : PHI015+1 : TPTP v8.1.0. Released v7.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_super_zenon -p0 -itptp -om -max-time %d %s
% Computer : n026.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 : Mon Jul 18 16:49:04 EDT 2022
% Result : Theorem 5.63s 5.79s
% Output : Proof 5.63s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : PHI015+1 : TPTP v8.1.0. Released v7.2.0.
% 0.11/0.12 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s
% 0.12/0.33 % Computer : n026.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 2 01:25:57 EDT 2022
% 0.12/0.33 % CPUTime :
% 5.63/5.79 % SZS status Theorem
% 5.63/5.79 (* PROOF-FOUND *)
% 5.63/5.79 (* BEGIN-PROOF *)
% 5.63/5.79 % SZS output start Proof
% 5.63/5.79 1. (is_the (god) (none_greater)) (-. (is_the (god) (none_greater))) ### Axiom
% 5.63/5.79 2. (-. (object (god))) (object (god)) ### Axiom
% 5.63/5.79 3. ((property (none_greater)) /\ (object (god))) (-. (object (god))) ### And 2
% 5.63/5.79 4. ((is_the (god) (none_greater)) => ((property (none_greater)) /\ (object (god)))) (-. (object (god))) (is_the (god) (none_greater)) ### Imply 1 3
% 5.63/5.79 5. (All F, ((is_the (god) F) => ((property F) /\ (object (god))))) (is_the (god) (none_greater)) (-. (object (god))) ### All 4
% 5.63/5.79 6. (All X, (All F, ((is_the X F) => ((property F) /\ (object X))))) (-. (object (god))) (is_the (god) (none_greater)) ### All 5
% 5.63/5.79 7. (object T_0) (-. (object T_0)) ### Axiom
% 5.63/5.79 8. (exemplifies_property (none_greater) T_0) (-. (exemplifies_property (none_greater) T_0)) ### Axiom
% 5.63/5.79 9. (exemplifies_property (none_greater) T_0) (-. (exemplifies_property (none_greater) T_0)) ### Axiom
% 5.63/5.79 10. (-. (property (none_greater))) (property (none_greater)) ### Axiom
% 5.63/5.80 11. ((property (none_greater)) /\ (object T_0)) (-. (property (none_greater))) ### And 10
% 5.63/5.80 12. ((exemplifies_property (none_greater) T_0) => ((property (none_greater)) /\ (object T_0))) (-. (property (none_greater))) (exemplifies_property (none_greater) T_0) ### Imply 9 11
% 5.63/5.80 13. (All F, ((exemplifies_property F T_0) => ((property F) /\ (object T_0)))) (exemplifies_property (none_greater) T_0) (-. (property (none_greater))) ### All 12
% 5.63/5.80 14. (All X, (All F, ((exemplifies_property F X) => ((property F) /\ (object X))))) (-. (property (none_greater))) (exemplifies_property (none_greater) T_0) ### All 13
% 5.63/5.80 15. (exemplifies_property (conceivable) T_0) (-. (exemplifies_property (conceivable) T_0)) ### Axiom
% 5.63/5.80 16. (-. (property (conceivable))) (property (conceivable)) ### Axiom
% 5.63/5.80 17. ((property (conceivable)) /\ (object T_0)) (-. (property (conceivable))) ### And 16
% 5.63/5.80 18. ((exemplifies_property (conceivable) T_0) => ((property (conceivable)) /\ (object T_0))) (-. (property (conceivable))) (exemplifies_property (conceivable) T_0) ### Imply 15 17
% 5.63/5.80 19. (All F, ((exemplifies_property F T_0) => ((property F) /\ (object T_0)))) (exemplifies_property (conceivable) T_0) (-. (property (conceivable))) ### All 18
% 5.63/5.80 20. (All X, (All F, ((exemplifies_property F X) => ((property F) /\ (object X))))) (-. (property (conceivable))) (exemplifies_property (conceivable) T_0) ### All 19
% 5.63/5.80 21. (object T_0) (-. (object T_0)) ### Axiom
% 5.63/5.80 22. (exemplifies_property (none_greater) T_0) (-. (exemplifies_property (none_greater) T_0)) ### Axiom
% 5.63/5.80 23. (object T_1) (-. (object T_1)) ### Axiom
% 5.63/5.80 24. (exemplifies_property (none_greater) T_1) (-. (exemplifies_property (none_greater) T_1)) ### Axiom
% 5.63/5.80 25. (object T_0) (-. (object T_0)) ### Axiom
% 5.63/5.80 26. (object T_1) (-. (object T_1)) ### Axiom
% 5.63/5.80 27. (object T_0) (-. (object T_0)) ### Axiom
% 5.63/5.80 28. (object T_1) (-. (object T_1)) ### Axiom
% 5.63/5.80 29. (exemplifies_relation (greater_than) T_1 T_0) (-. (exemplifies_relation (greater_than) T_1 T_0)) ### Axiom
% 5.63/5.80 30. (exemplifies_property (conceivable) T_1) (-. (exemplifies_property (conceivable) T_1)) ### Axiom
% 5.63/5.80 31. (-. ((object T_1) /\ ((exemplifies_relation (greater_than) T_1 T_0) /\ (exemplifies_property (conceivable) T_1)))) (exemplifies_property (conceivable) T_1) (exemplifies_relation (greater_than) T_1 T_0) (object T_1) ### DisjTree 28 29 30
% 5.63/5.80 32. (-. (Ex Y, ((object Y) /\ ((exemplifies_relation (greater_than) Y T_0) /\ (exemplifies_property (conceivable) Y))))) (object T_1) (exemplifies_relation (greater_than) T_1 T_0) (exemplifies_property (conceivable) T_1) ### NotExists 31
% 5.63/5.80 33. (-. (exemplifies_relation (greater_than) T_0 T_1)) (exemplifies_relation (greater_than) T_0 T_1) ### Axiom
% 5.63/5.80 34. (T_1 != T_0) (T_1 = T_0) ### Axiom
% 5.63/5.80 35. (((object T_1) /\ (object T_0)) => ((exemplifies_relation (greater_than) T_1 T_0) \/ ((exemplifies_relation (greater_than) T_0 T_1) \/ (T_1 = T_0)))) (T_1 != T_0) (-. (exemplifies_relation (greater_than) T_0 T_1)) (exemplifies_property (conceivable) T_1) (-. (Ex Y, ((object Y) /\ ((exemplifies_relation (greater_than) Y T_0) /\ (exemplifies_property (conceivable) Y))))) (object T_0) (object T_1) ### DisjTree 26 27 32 33 34
% 5.63/5.80 36. (All Y, (((object T_1) /\ (object Y)) => ((exemplifies_relation (greater_than) T_1 Y) \/ ((exemplifies_relation (greater_than) Y T_1) \/ (T_1 = Y))))) (object T_1) (object T_0) (-. (Ex Y, ((object Y) /\ ((exemplifies_relation (greater_than) Y T_0) /\ (exemplifies_property (conceivable) Y))))) (exemplifies_property (conceivable) T_1) (-. (exemplifies_relation (greater_than) T_0 T_1)) (T_1 != T_0) ### All 35
% 5.63/5.80 37. (exemplifies_property (conceivable) T_0) (-. (exemplifies_property (conceivable) T_0)) ### Axiom
% 5.63/5.80 38. (-. ((object T_0) /\ ((exemplifies_relation (greater_than) T_0 T_1) /\ (exemplifies_property (conceivable) T_0)))) (exemplifies_property (conceivable) T_0) (T_1 != T_0) (exemplifies_property (conceivable) T_1) (-. (Ex Y, ((object Y) /\ ((exemplifies_relation (greater_than) Y T_0) /\ (exemplifies_property (conceivable) Y))))) (object T_1) (All Y, (((object T_1) /\ (object Y)) => ((exemplifies_relation (greater_than) T_1 Y) \/ ((exemplifies_relation (greater_than) Y T_1) \/ (T_1 = Y))))) (object T_0) ### DisjTree 25 36 37
% 5.63/5.80 39. (-. (Ex Y, ((object Y) /\ ((exemplifies_relation (greater_than) Y T_1) /\ (exemplifies_property (conceivable) Y))))) (object T_0) (All Y, (((object T_1) /\ (object Y)) => ((exemplifies_relation (greater_than) T_1 Y) \/ ((exemplifies_relation (greater_than) Y T_1) \/ (T_1 = Y))))) (object T_1) (-. (Ex Y, ((object Y) /\ ((exemplifies_relation (greater_than) Y T_0) /\ (exemplifies_property (conceivable) Y))))) (exemplifies_property (conceivable) T_1) (T_1 != T_0) (exemplifies_property (conceivable) T_0) ### NotExists 38
% 5.63/5.80 40. ((exemplifies_property (conceivable) T_1) /\ (-. (Ex Y, ((object Y) /\ ((exemplifies_relation (greater_than) Y T_1) /\ (exemplifies_property (conceivable) Y)))))) (exemplifies_property (conceivable) T_0) (T_1 != T_0) (-. (Ex Y, ((object Y) /\ ((exemplifies_relation (greater_than) Y T_0) /\ (exemplifies_property (conceivable) Y))))) (object T_1) (All Y, (((object T_1) /\ (object Y)) => ((exemplifies_relation (greater_than) T_1 Y) \/ ((exemplifies_relation (greater_than) Y T_1) \/ (T_1 = Y))))) (object T_0) ### And 39
% 5.63/5.80 41. ((exemplifies_property (none_greater) T_1) <=> ((exemplifies_property (conceivable) T_1) /\ (-. (Ex Y, ((object Y) /\ ((exemplifies_relation (greater_than) Y T_1) /\ (exemplifies_property (conceivable) Y))))))) (object T_0) (All Y, (((object T_1) /\ (object Y)) => ((exemplifies_relation (greater_than) T_1 Y) \/ ((exemplifies_relation (greater_than) Y T_1) \/ (T_1 = Y))))) (object T_1) (-. (Ex Y, ((object Y) /\ ((exemplifies_relation (greater_than) Y T_0) /\ (exemplifies_property (conceivable) Y))))) (T_1 != T_0) (exemplifies_property (conceivable) T_0) (exemplifies_property (none_greater) T_1) ### Equiv 24 40
% 5.63/5.80 42. ((object T_1) => ((exemplifies_property (none_greater) T_1) <=> ((exemplifies_property (conceivable) T_1) /\ (-. (Ex Y, ((object Y) /\ ((exemplifies_relation (greater_than) Y T_1) /\ (exemplifies_property (conceivable) Y)))))))) (exemplifies_property (none_greater) T_1) (exemplifies_property (conceivable) T_0) (T_1 != T_0) (-. (Ex Y, ((object Y) /\ ((exemplifies_relation (greater_than) Y T_0) /\ (exemplifies_property (conceivable) Y))))) (All Y, (((object T_1) /\ (object Y)) => ((exemplifies_relation (greater_than) T_1 Y) \/ ((exemplifies_relation (greater_than) Y T_1) \/ (T_1 = Y))))) (object T_0) (object T_1) ### Imply 23 41
% 5.63/5.80 43. (All X, ((object X) => ((exemplifies_property (none_greater) X) <=> ((exemplifies_property (conceivable) X) /\ (-. (Ex Y, ((object Y) /\ ((exemplifies_relation (greater_than) Y X) /\ (exemplifies_property (conceivable) Y))))))))) (object T_1) (object T_0) (All Y, (((object T_1) /\ (object Y)) => ((exemplifies_relation (greater_than) T_1 Y) \/ ((exemplifies_relation (greater_than) Y T_1) \/ (T_1 = Y))))) (-. (Ex Y, ((object Y) /\ ((exemplifies_relation (greater_than) Y T_0) /\ (exemplifies_property (conceivable) Y))))) (T_1 != T_0) (exemplifies_property (conceivable) T_0) (exemplifies_property (none_greater) T_1) ### All 42
% 5.63/5.80 44. (All X, (All Y, (((object X) /\ (object Y)) => ((exemplifies_relation (greater_than) X Y) \/ ((exemplifies_relation (greater_than) Y X) \/ (X = Y)))))) (exemplifies_property (none_greater) T_1) (exemplifies_property (conceivable) T_0) (T_1 != T_0) (-. (Ex Y, ((object Y) /\ ((exemplifies_relation (greater_than) Y T_0) /\ (exemplifies_property (conceivable) Y))))) (object T_0) (object T_1) (All X, ((object X) => ((exemplifies_property (none_greater) X) <=> ((exemplifies_property (conceivable) X) /\ (-. (Ex Y, ((object Y) /\ ((exemplifies_relation (greater_than) Y X) /\ (exemplifies_property (conceivable) Y))))))))) ### All 43
% 5.63/5.80 45. (-. ((object T_1) => ((exemplifies_property (none_greater) T_1) => (T_1 = T_0)))) (All X, ((object X) => ((exemplifies_property (none_greater) X) <=> ((exemplifies_property (conceivable) X) /\ (-. (Ex Y, ((object Y) /\ ((exemplifies_relation (greater_than) Y X) /\ (exemplifies_property (conceivable) Y))))))))) (object T_0) (-. (Ex Y, ((object Y) /\ ((exemplifies_relation (greater_than) Y T_0) /\ (exemplifies_property (conceivable) Y))))) (exemplifies_property (conceivable) T_0) (All X, (All Y, (((object X) /\ (object Y)) => ((exemplifies_relation (greater_than) X Y) \/ ((exemplifies_relation (greater_than) Y X) \/ (X = Y)))))) ### ConjTree 44
% 5.63/5.80 46. (-. (All Z, ((object Z) => ((exemplifies_property (none_greater) Z) => (Z = T_0))))) (All X, (All Y, (((object X) /\ (object Y)) => ((exemplifies_relation (greater_than) X Y) \/ ((exemplifies_relation (greater_than) Y X) \/ (X = Y)))))) (exemplifies_property (conceivable) T_0) (-. (Ex Y, ((object Y) /\ ((exemplifies_relation (greater_than) Y T_0) /\ (exemplifies_property (conceivable) Y))))) (object T_0) (All X, ((object X) => ((exemplifies_property (none_greater) X) <=> ((exemplifies_property (conceivable) X) /\ (-. (Ex Y, ((object Y) /\ ((exemplifies_relation (greater_than) Y X) /\ (exemplifies_property (conceivable) Y))))))))) ### NotAllEx 45
% 5.63/5.80 47. (exemplifies_property (conceivable) T_0) (-. (exemplifies_property (conceivable) T_0)) ### Axiom
% 5.63/5.80 48. (-. ((object T_0) /\ ((exemplifies_property (none_greater) T_0) /\ ((All Z, ((object Z) => ((exemplifies_property (none_greater) Z) => (Z = T_0)))) /\ (exemplifies_property (conceivable) T_0))))) (All X, ((object X) => ((exemplifies_property (none_greater) X) <=> ((exemplifies_property (conceivable) X) /\ (-. (Ex Y, ((object Y) /\ ((exemplifies_relation (greater_than) Y X) /\ (exemplifies_property (conceivable) Y))))))))) (-. (Ex Y, ((object Y) /\ ((exemplifies_relation (greater_than) Y T_0) /\ (exemplifies_property (conceivable) Y))))) (exemplifies_property (conceivable) T_0) (All X, (All Y, (((object X) /\ (object Y)) => ((exemplifies_relation (greater_than) X Y) \/ ((exemplifies_relation (greater_than) Y X) \/ (X = Y)))))) (exemplifies_property (none_greater) T_0) (object T_0) ### DisjTree 21 22 46 47
% 5.63/5.80 49. (-. (Ex Y, ((object Y) /\ ((exemplifies_property (none_greater) Y) /\ ((All Z, ((object Z) => ((exemplifies_property (none_greater) Z) => (Z = Y)))) /\ (exemplifies_property (conceivable) Y)))))) (object T_0) (exemplifies_property (none_greater) T_0) (All X, (All Y, (((object X) /\ (object Y)) => ((exemplifies_relation (greater_than) X Y) \/ ((exemplifies_relation (greater_than) Y X) \/ (X = Y)))))) (exemplifies_property (conceivable) T_0) (-. (Ex Y, ((object Y) /\ ((exemplifies_relation (greater_than) Y T_0) /\ (exemplifies_property (conceivable) Y))))) (All X, ((object X) => ((exemplifies_property (none_greater) X) <=> ((exemplifies_property (conceivable) X) /\ (-. (Ex Y, ((object Y) /\ ((exemplifies_relation (greater_than) Y X) /\ (exemplifies_property (conceivable) Y))))))))) ### NotExists 48
% 5.63/5.80 50. (object T_2) (-. (object T_2)) ### Axiom
% 5.63/5.80 51. (exemplifies_property (none_greater) T_2) (-. (exemplifies_property (none_greater) T_2)) ### Axiom
% 5.63/5.80 52. (All Z, ((object Z) => ((exemplifies_property (none_greater) Z) => (Z = T_2)))) (-. (All Z, ((object Z) => ((exemplifies_property (none_greater) Z) => (Z = T_2))))) ### Axiom
% 5.63/5.80 53. (exemplifies_property (none_greater) T_2) (-. (exemplifies_property (none_greater) T_2)) ### Axiom
% 5.63/5.80 54. (-. ((object T_2) /\ ((exemplifies_property (none_greater) T_2) /\ ((All Z, ((object Z) => ((exemplifies_property (none_greater) Z) => (Z = T_2)))) /\ (exemplifies_property (none_greater) T_2))))) (All Z, ((object Z) => ((exemplifies_property (none_greater) Z) => (Z = T_2)))) (exemplifies_property (none_greater) T_2) (object T_2) ### DisjTree 50 51 52 53
% 5.63/5.80 55. (-. (Ex Y, ((object Y) /\ ((exemplifies_property (none_greater) Y) /\ ((All Z, ((object Z) => ((exemplifies_property (none_greater) Z) => (Z = Y)))) /\ (exemplifies_property (none_greater) Y)))))) (object T_2) (exemplifies_property (none_greater) T_2) (All Z, ((object Z) => ((exemplifies_property (none_greater) Z) => (Z = T_2)))) ### NotExists 54
% 5.63/5.80 56. (Ex Y, ((object Y) /\ ((exemplifies_property (none_greater) Y) /\ ((All Z, ((object Z) => ((exemplifies_property (none_greater) Z) => (Z = Y)))) /\ (exemplifies_property (none_greater) Y))))) (-. (Ex Y, ((object Y) /\ ((exemplifies_property (none_greater) Y) /\ ((All Z, ((object Z) => ((exemplifies_property (none_greater) Z) => (Z = Y)))) /\ (exemplifies_property (none_greater) Y)))))) ### Axiom
% 5.63/5.80 57. (-. (exemplifies_property (none_greater) (god))) (exemplifies_property (none_greater) (god)) ### Axiom
% 5.63/5.80 58. ((is_the (god) (none_greater)) /\ (exemplifies_property (none_greater) (god))) (-. (exemplifies_property (none_greater) (god))) ### And 57
% 5.63/5.80 59. (((is_the (god) (none_greater)) /\ (exemplifies_property (none_greater) (god))) <=> (Ex Y, ((object Y) /\ ((exemplifies_property (none_greater) Y) /\ ((All Z, ((object Z) => ((exemplifies_property (none_greater) Z) => (Z = Y)))) /\ (exemplifies_property (none_greater) Y)))))) (-. (exemplifies_property (none_greater) (god))) (Ex Y, ((object Y) /\ ((exemplifies_property (none_greater) Y) /\ ((All Z, ((object Z) => ((exemplifies_property (none_greater) Z) => (Z = Y)))) /\ (exemplifies_property (none_greater) Y))))) ### Equiv 56 58
% 5.63/5.80 60. (-. (exemplifies_property (none_greater) (god))) (((is_the (god) (none_greater)) /\ (exemplifies_property (none_greater) (god))) <=> (Ex Y, ((object Y) /\ ((exemplifies_property (none_greater) Y) /\ ((All Z, ((object Z) => ((exemplifies_property (none_greater) Z) => (Z = Y)))) /\ (exemplifies_property (none_greater) Y)))))) (All Z, ((object Z) => ((exemplifies_property (none_greater) Z) => (Z = T_2)))) (exemplifies_property (none_greater) T_2) (object T_2) ### Equiv 55 59
% 5.63/5.80 61. (((property (none_greater)) /\ ((property (none_greater)) /\ (object (god)))) => (((is_the (god) (none_greater)) /\ (exemplifies_property (none_greater) (god))) <=> (Ex Y, ((object Y) /\ ((exemplifies_property (none_greater) Y) /\ ((All Z, ((object Z) => ((exemplifies_property (none_greater) Z) => (Z = Y)))) /\ (exemplifies_property (none_greater) Y))))))) (object T_2) (exemplifies_property (none_greater) T_2) (All Z, ((object Z) => ((exemplifies_property (none_greater) Z) => (Z = T_2)))) (-. (exemplifies_property (none_greater) (god))) (is_the (god) (none_greater)) (All X, (All F, ((is_the X F) => ((property F) /\ (object X))))) (exemplifies_property (none_greater) T_0) (All X, (All F, ((exemplifies_property F X) => ((property F) /\ (object X))))) ### DisjTree 14 14 6 60
% 5.63/5.80 62. (All X, (((property (none_greater)) /\ ((property (none_greater)) /\ (object X))) => (((is_the X (none_greater)) /\ (exemplifies_property (none_greater) X)) <=> (Ex Y, ((object Y) /\ ((exemplifies_property (none_greater) Y) /\ ((All Z, ((object Z) => ((exemplifies_property (none_greater) Z) => (Z = Y)))) /\ (exemplifies_property (none_greater) Y)))))))) (All X, (All F, ((exemplifies_property F X) => ((property F) /\ (object X))))) (exemplifies_property (none_greater) T_0) (All X, (All F, ((is_the X F) => ((property F) /\ (object X))))) (is_the (god) (none_greater)) (-. (exemplifies_property (none_greater) (god))) (All Z, ((object Z) => ((exemplifies_property (none_greater) Z) => (Z = T_2)))) (exemplifies_property (none_greater) T_2) (object T_2) ### All 61
% 5.63/5.80 63. (All G, (All X, (((property (none_greater)) /\ ((property G) /\ (object X))) => (((is_the X (none_greater)) /\ (exemplifies_property G X)) <=> (Ex Y, ((object Y) /\ ((exemplifies_property (none_greater) Y) /\ ((All Z, ((object Z) => ((exemplifies_property (none_greater) Z) => (Z = Y)))) /\ (exemplifies_property G Y))))))))) (object T_2) (exemplifies_property (none_greater) T_2) (All Z, ((object Z) => ((exemplifies_property (none_greater) Z) => (Z = T_2)))) (-. (exemplifies_property (none_greater) (god))) (is_the (god) (none_greater)) (All X, (All F, ((is_the X F) => ((property F) /\ (object X))))) (exemplifies_property (none_greater) T_0) (All X, (All F, ((exemplifies_property F X) => ((property F) /\ (object X))))) ### All 62
% 5.63/5.80 64. ((object T_2) /\ ((exemplifies_property (none_greater) T_2) /\ ((All Z, ((object Z) => ((exemplifies_property (none_greater) Z) => (Z = T_2)))) /\ (exemplifies_property (conceivable) T_2)))) (All X, (All F, ((exemplifies_property F X) => ((property F) /\ (object X))))) (exemplifies_property (none_greater) T_0) (All X, (All F, ((is_the X F) => ((property F) /\ (object X))))) (is_the (god) (none_greater)) (-. (exemplifies_property (none_greater) (god))) (All G, (All X, (((property (none_greater)) /\ ((property G) /\ (object X))) => (((is_the X (none_greater)) /\ (exemplifies_property G X)) <=> (Ex Y, ((object Y) /\ ((exemplifies_property (none_greater) Y) /\ ((All Z, ((object Z) => ((exemplifies_property (none_greater) Z) => (Z = Y)))) /\ (exemplifies_property G Y))))))))) ### ConjTree 63
% 5.63/5.80 65. (Ex Y, ((object Y) /\ ((exemplifies_property (none_greater) Y) /\ ((All Z, ((object Z) => ((exemplifies_property (none_greater) Z) => (Z = Y)))) /\ (exemplifies_property (conceivable) Y))))) (All G, (All X, (((property (none_greater)) /\ ((property G) /\ (object X))) => (((is_the X (none_greater)) /\ (exemplifies_property G X)) <=> (Ex Y, ((object Y) /\ ((exemplifies_property (none_greater) Y) /\ ((All Z, ((object Z) => ((exemplifies_property (none_greater) Z) => (Z = Y)))) /\ (exemplifies_property G Y))))))))) (-. (exemplifies_property (none_greater) (god))) (is_the (god) (none_greater)) (All X, (All F, ((is_the X F) => ((property F) /\ (object X))))) (exemplifies_property (none_greater) T_0) (All X, (All F, ((exemplifies_property F X) => ((property F) /\ (object X))))) ### Exists 64
% 5.63/5.80 66. (((is_the (god) (none_greater)) /\ (exemplifies_property (conceivable) (god))) <=> (Ex Y, ((object Y) /\ ((exemplifies_property (none_greater) Y) /\ ((All Z, ((object Z) => ((exemplifies_property (none_greater) Z) => (Z = Y)))) /\ (exemplifies_property (conceivable) Y)))))) (All X, (All F, ((exemplifies_property F X) => ((property F) /\ (object X))))) (All X, (All F, ((is_the X F) => ((property F) /\ (object X))))) (is_the (god) (none_greater)) (-. (exemplifies_property (none_greater) (god))) (All G, (All X, (((property (none_greater)) /\ ((property G) /\ (object X))) => (((is_the X (none_greater)) /\ (exemplifies_property G X)) <=> (Ex Y, ((object Y) /\ ((exemplifies_property (none_greater) Y) /\ ((All Z, ((object Z) => ((exemplifies_property (none_greater) Z) => (Z = Y)))) /\ (exemplifies_property G Y))))))))) (All X, ((object X) => ((exemplifies_property (none_greater) X) <=> ((exemplifies_property (conceivable) X) /\ (-. (Ex Y, ((object Y) /\ ((exemplifies_relation (greater_than) Y X) /\ (exemplifies_property (conceivable) Y))))))))) (-. (Ex Y, ((object Y) /\ ((exemplifies_relation (greater_than) Y T_0) /\ (exemplifies_property (conceivable) Y))))) (exemplifies_property (conceivable) T_0) (All X, (All Y, (((object X) /\ (object Y)) => ((exemplifies_relation (greater_than) X Y) \/ ((exemplifies_relation (greater_than) Y X) \/ (X = Y)))))) (exemplifies_property (none_greater) T_0) (object T_0) ### Equiv 49 65
% 5.63/5.80 67. (((property (none_greater)) /\ ((property (conceivable)) /\ (object (god)))) => (((is_the (god) (none_greater)) /\ (exemplifies_property (conceivable) (god))) <=> (Ex Y, ((object Y) /\ ((exemplifies_property (none_greater) Y) /\ ((All Z, ((object Z) => ((exemplifies_property (none_greater) Z) => (Z = Y)))) /\ (exemplifies_property (conceivable) Y))))))) (object T_0) (All X, (All Y, (((object X) /\ (object Y)) => ((exemplifies_relation (greater_than) X Y) \/ ((exemplifies_relation (greater_than) Y X) \/ (X = Y)))))) (-. (Ex Y, ((object Y) /\ ((exemplifies_relation (greater_than) Y T_0) /\ (exemplifies_property (conceivable) Y))))) (All X, ((object X) => ((exemplifies_property (none_greater) X) <=> ((exemplifies_property (conceivable) X) /\ (-. (Ex Y, ((object Y) /\ ((exemplifies_relation (greater_than) Y X) /\ (exemplifies_property (conceivable) Y))))))))) (All G, (All X, (((property (none_greater)) /\ ((property G) /\ (object X))) => (((is_the X (none_greater)) /\ (exemplifies_property G X)) <=> (Ex Y, ((object Y) /\ ((exemplifies_property (none_greater) Y) /\ ((All Z, ((object Z) => ((exemplifies_property (none_greater) Z) => (Z = Y)))) /\ (exemplifies_property G Y))))))))) (-. (exemplifies_property (none_greater) (god))) (is_the (god) (none_greater)) (All X, (All F, ((is_the X F) => ((property F) /\ (object X))))) (exemplifies_property (conceivable) T_0) (exemplifies_property (none_greater) T_0) (All X, (All F, ((exemplifies_property F X) => ((property F) /\ (object X))))) ### DisjTree 14 20 6 66
% 5.63/5.80 68. (All X, (((property (none_greater)) /\ ((property (conceivable)) /\ (object X))) => (((is_the X (none_greater)) /\ (exemplifies_property (conceivable) X)) <=> (Ex Y, ((object Y) /\ ((exemplifies_property (none_greater) Y) /\ ((All Z, ((object Z) => ((exemplifies_property (none_greater) Z) => (Z = Y)))) /\ (exemplifies_property (conceivable) Y)))))))) (All X, (All F, ((exemplifies_property F X) => ((property F) /\ (object X))))) (exemplifies_property (none_greater) T_0) (exemplifies_property (conceivable) T_0) (All X, (All F, ((is_the X F) => ((property F) /\ (object X))))) (is_the (god) (none_greater)) (-. (exemplifies_property (none_greater) (god))) (All G, (All X, (((property (none_greater)) /\ ((property G) /\ (object X))) => (((is_the X (none_greater)) /\ (exemplifies_property G X)) <=> (Ex Y, ((object Y) /\ ((exemplifies_property (none_greater) Y) /\ ((All Z, ((object Z) => ((exemplifies_property (none_greater) Z) => (Z = Y)))) /\ (exemplifies_property G Y))))))))) (All X, ((object X) => ((exemplifies_property (none_greater) X) <=> ((exemplifies_property (conceivable) X) /\ (-. (Ex Y, ((object Y) /\ ((exemplifies_relation (greater_than) Y X) /\ (exemplifies_property (conceivable) Y))))))))) (-. (Ex Y, ((object Y) /\ ((exemplifies_relation (greater_than) Y T_0) /\ (exemplifies_property (conceivable) Y))))) (All X, (All Y, (((object X) /\ (object Y)) => ((exemplifies_relation (greater_than) X Y) \/ ((exemplifies_relation (greater_than) Y X) \/ (X = Y)))))) (object T_0) ### All 67
% 5.63/5.80 69. (object T_0) (All X, (All Y, (((object X) /\ (object Y)) => ((exemplifies_relation (greater_than) X Y) \/ ((exemplifies_relation (greater_than) Y X) \/ (X = Y)))))) (-. (Ex Y, ((object Y) /\ ((exemplifies_relation (greater_than) Y T_0) /\ (exemplifies_property (conceivable) Y))))) (All X, ((object X) => ((exemplifies_property (none_greater) X) <=> ((exemplifies_property (conceivable) X) /\ (-. (Ex Y, ((object Y) /\ ((exemplifies_relation (greater_than) Y X) /\ (exemplifies_property (conceivable) Y))))))))) (All G, (All X, (((property (none_greater)) /\ ((property G) /\ (object X))) => (((is_the X (none_greater)) /\ (exemplifies_property G X)) <=> (Ex Y, ((object Y) /\ ((exemplifies_property (none_greater) Y) /\ ((All Z, ((object Z) => ((exemplifies_property (none_greater) Z) => (Z = Y)))) /\ (exemplifies_property G Y))))))))) (-. (exemplifies_property (none_greater) (god))) (is_the (god) (none_greater)) (All X, (All F, ((is_the X F) => ((property F) /\ (object X))))) (exemplifies_property (conceivable) T_0) (exemplifies_property (none_greater) T_0) (All X, (All F, ((exemplifies_property F X) => ((property F) /\ (object X))))) ### All 68
% 5.63/5.80 70. (All F, (All G, (All X, (((property F) /\ ((property G) /\ (object X))) => (((is_the X F) /\ (exemplifies_property G X)) <=> (Ex Y, ((object Y) /\ ((exemplifies_property F Y) /\ ((All Z, ((object Z) => ((exemplifies_property F Z) => (Z = Y)))) /\ (exemplifies_property G Y)))))))))) (All X, (All F, ((exemplifies_property F X) => ((property F) /\ (object X))))) (exemplifies_property (none_greater) T_0) (exemplifies_property (conceivable) T_0) (All X, (All F, ((is_the X F) => ((property F) /\ (object X))))) (is_the (god) (none_greater)) (-. (exemplifies_property (none_greater) (god))) (All X, ((object X) => ((exemplifies_property (none_greater) X) <=> ((exemplifies_property (conceivable) X) /\ (-. (Ex Y, ((object Y) /\ ((exemplifies_relation (greater_than) Y X) /\ (exemplifies_property (conceivable) Y))))))))) (-. (Ex Y, ((object Y) /\ ((exemplifies_relation (greater_than) Y T_0) /\ (exemplifies_property (conceivable) Y))))) (All X, (All Y, (((object X) /\ (object Y)) => ((exemplifies_relation (greater_than) X Y) \/ ((exemplifies_relation (greater_than) Y X) \/ (X = Y)))))) (object T_0) ### All 69
% 5.63/5.81 71. ((exemplifies_property (conceivable) T_0) /\ (-. (Ex Y, ((object Y) /\ ((exemplifies_relation (greater_than) Y T_0) /\ (exemplifies_property (conceivable) Y)))))) (object T_0) (All X, (All Y, (((object X) /\ (object Y)) => ((exemplifies_relation (greater_than) X Y) \/ ((exemplifies_relation (greater_than) Y X) \/ (X = Y)))))) (All X, ((object X) => ((exemplifies_property (none_greater) X) <=> ((exemplifies_property (conceivable) X) /\ (-. (Ex Y, ((object Y) /\ ((exemplifies_relation (greater_than) Y X) /\ (exemplifies_property (conceivable) Y))))))))) (-. (exemplifies_property (none_greater) (god))) (is_the (god) (none_greater)) (All X, (All F, ((is_the X F) => ((property F) /\ (object X))))) (exemplifies_property (none_greater) T_0) (All X, (All F, ((exemplifies_property F X) => ((property F) /\ (object X))))) (All F, (All G, (All X, (((property F) /\ ((property G) /\ (object X))) => (((is_the X F) /\ (exemplifies_property G X)) <=> (Ex Y, ((object Y) /\ ((exemplifies_property F Y) /\ ((All Z, ((object Z) => ((exemplifies_property F Z) => (Z = Y)))) /\ (exemplifies_property G Y)))))))))) ### And 70
% 5.63/5.81 72. ((exemplifies_property (none_greater) T_0) <=> ((exemplifies_property (conceivable) T_0) /\ (-. (Ex Y, ((object Y) /\ ((exemplifies_relation (greater_than) Y T_0) /\ (exemplifies_property (conceivable) Y))))))) (All F, (All G, (All X, (((property F) /\ ((property G) /\ (object X))) => (((is_the X F) /\ (exemplifies_property G X)) <=> (Ex Y, ((object Y) /\ ((exemplifies_property F Y) /\ ((All Z, ((object Z) => ((exemplifies_property F Z) => (Z = Y)))) /\ (exemplifies_property G Y)))))))))) (All X, (All F, ((exemplifies_property F X) => ((property F) /\ (object X))))) (All X, (All F, ((is_the X F) => ((property F) /\ (object X))))) (is_the (god) (none_greater)) (-. (exemplifies_property (none_greater) (god))) (All X, ((object X) => ((exemplifies_property (none_greater) X) <=> ((exemplifies_property (conceivable) X) /\ (-. (Ex Y, ((object Y) /\ ((exemplifies_relation (greater_than) Y X) /\ (exemplifies_property (conceivable) Y))))))))) (All X, (All Y, (((object X) /\ (object Y)) => ((exemplifies_relation (greater_than) X Y) \/ ((exemplifies_relation (greater_than) Y X) \/ (X = Y)))))) (object T_0) (exemplifies_property (none_greater) T_0) ### Equiv 8 71
% 5.63/5.81 73. ((object T_0) => ((exemplifies_property (none_greater) T_0) <=> ((exemplifies_property (conceivable) T_0) /\ (-. (Ex Y, ((object Y) /\ ((exemplifies_relation (greater_than) Y T_0) /\ (exemplifies_property (conceivable) Y)))))))) (exemplifies_property (none_greater) T_0) (All X, (All Y, (((object X) /\ (object Y)) => ((exemplifies_relation (greater_than) X Y) \/ ((exemplifies_relation (greater_than) Y X) \/ (X = Y)))))) (All X, ((object X) => ((exemplifies_property (none_greater) X) <=> ((exemplifies_property (conceivable) X) /\ (-. (Ex Y, ((object Y) /\ ((exemplifies_relation (greater_than) Y X) /\ (exemplifies_property (conceivable) Y))))))))) (-. (exemplifies_property (none_greater) (god))) (is_the (god) (none_greater)) (All X, (All F, ((is_the X F) => ((property F) /\ (object X))))) (All X, (All F, ((exemplifies_property F X) => ((property F) /\ (object X))))) (All F, (All G, (All X, (((property F) /\ ((property G) /\ (object X))) => (((is_the X F) /\ (exemplifies_property G X)) <=> (Ex Y, ((object Y) /\ ((exemplifies_property F Y) /\ ((All Z, ((object Z) => ((exemplifies_property F Z) => (Z = Y)))) /\ (exemplifies_property G Y)))))))))) (object T_0) ### Imply 7 72
% 5.63/5.81 74. (object T_0) (All F, (All G, (All X, (((property F) /\ ((property G) /\ (object X))) => (((is_the X F) /\ (exemplifies_property G X)) <=> (Ex Y, ((object Y) /\ ((exemplifies_property F Y) /\ ((All Z, ((object Z) => ((exemplifies_property F Z) => (Z = Y)))) /\ (exemplifies_property G Y)))))))))) (All X, (All F, ((exemplifies_property F X) => ((property F) /\ (object X))))) (All X, (All F, ((is_the X F) => ((property F) /\ (object X))))) (is_the (god) (none_greater)) (-. (exemplifies_property (none_greater) (god))) (All X, ((object X) => ((exemplifies_property (none_greater) X) <=> ((exemplifies_property (conceivable) X) /\ (-. (Ex Y, ((object Y) /\ ((exemplifies_relation (greater_than) Y X) /\ (exemplifies_property (conceivable) Y))))))))) (All X, (All Y, (((object X) /\ (object Y)) => ((exemplifies_relation (greater_than) X Y) \/ ((exemplifies_relation (greater_than) Y X) \/ (X = Y)))))) (exemplifies_property (none_greater) T_0) ### All 73
% 5.63/5.81 75. (is_the (god) (none_greater)) (-. (is_the (god) (none_greater))) ### Axiom
% 5.63/5.81 76. (-. (exemplifies_property (existence) (god))) (exemplifies_property (existence) (god)) ### Axiom
% 5.63/5.81 77. (-. (Ex Y, ((object Y) /\ ((exemplifies_relation (greater_than) Y (god)) /\ (exemplifies_property (conceivable) Y))))) (Ex Y, ((object Y) /\ ((exemplifies_relation (greater_than) Y (god)) /\ (exemplifies_property (conceivable) Y)))) ### Axiom
% 5.63/5.81 78. ((object (god)) => (((is_the (god) (none_greater)) /\ (-. (exemplifies_property (existence) (god)))) => (Ex Y, ((object Y) /\ ((exemplifies_relation (greater_than) Y (god)) /\ (exemplifies_property (conceivable) Y)))))) (-. (Ex Y, ((object Y) /\ ((exemplifies_relation (greater_than) Y (god)) /\ (exemplifies_property (conceivable) Y))))) (-. (exemplifies_property (existence) (god))) (is_the (god) (none_greater)) (All X, (All F, ((is_the X F) => ((property F) /\ (object X))))) ### DisjTree 6 75 76 77
% 5.63/5.81 79. (All X, ((object X) => (((is_the X (none_greater)) /\ (-. (exemplifies_property (existence) X))) => (Ex Y, ((object Y) /\ ((exemplifies_relation (greater_than) Y X) /\ (exemplifies_property (conceivable) Y))))))) (All X, (All F, ((is_the X F) => ((property F) /\ (object X))))) (is_the (god) (none_greater)) (-. (exemplifies_property (existence) (god))) (-. (Ex Y, ((object Y) /\ ((exemplifies_relation (greater_than) Y (god)) /\ (exemplifies_property (conceivable) Y))))) ### All 78
% 5.63/5.81 80. ((exemplifies_property (conceivable) (god)) /\ (-. (Ex Y, ((object Y) /\ ((exemplifies_relation (greater_than) Y (god)) /\ (exemplifies_property (conceivable) Y)))))) (-. (exemplifies_property (existence) (god))) (is_the (god) (none_greater)) (All X, (All F, ((is_the X F) => ((property F) /\ (object X))))) (All X, ((object X) => (((is_the X (none_greater)) /\ (-. (exemplifies_property (existence) X))) => (Ex Y, ((object Y) /\ ((exemplifies_relation (greater_than) Y X) /\ (exemplifies_property (conceivable) Y))))))) ### And 79
% 5.63/5.81 81. ((exemplifies_property (none_greater) (god)) <=> ((exemplifies_property (conceivable) (god)) /\ (-. (Ex Y, ((object Y) /\ ((exemplifies_relation (greater_than) Y (god)) /\ (exemplifies_property (conceivable) Y))))))) (All X, ((object X) => (((is_the X (none_greater)) /\ (-. (exemplifies_property (existence) X))) => (Ex Y, ((object Y) /\ ((exemplifies_relation (greater_than) Y X) /\ (exemplifies_property (conceivable) Y))))))) (-. (exemplifies_property (existence) (god))) (exemplifies_property (none_greater) T_0) (All X, (All Y, (((object X) /\ (object Y)) => ((exemplifies_relation (greater_than) X Y) \/ ((exemplifies_relation (greater_than) Y X) \/ (X = Y)))))) (All X, ((object X) => ((exemplifies_property (none_greater) X) <=> ((exemplifies_property (conceivable) X) /\ (-. (Ex Y, ((object Y) /\ ((exemplifies_relation (greater_than) Y X) /\ (exemplifies_property (conceivable) Y))))))))) (is_the (god) (none_greater)) (All X, (All F, ((is_the X F) => ((property F) /\ (object X))))) (All X, (All F, ((exemplifies_property F X) => ((property F) /\ (object X))))) (All F, (All G, (All X, (((property F) /\ ((property G) /\ (object X))) => (((is_the X F) /\ (exemplifies_property G X)) <=> (Ex Y, ((object Y) /\ ((exemplifies_property F Y) /\ ((All Z, ((object Z) => ((exemplifies_property F Z) => (Z = Y)))) /\ (exemplifies_property G Y)))))))))) (object T_0) ### Equiv 74 80
% 5.63/5.82 82. ((object (god)) => ((exemplifies_property (none_greater) (god)) <=> ((exemplifies_property (conceivable) (god)) /\ (-. (Ex Y, ((object Y) /\ ((exemplifies_relation (greater_than) Y (god)) /\ (exemplifies_property (conceivable) Y)))))))) (object T_0) (All F, (All G, (All X, (((property F) /\ ((property G) /\ (object X))) => (((is_the X F) /\ (exemplifies_property G X)) <=> (Ex Y, ((object Y) /\ ((exemplifies_property F Y) /\ ((All Z, ((object Z) => ((exemplifies_property F Z) => (Z = Y)))) /\ (exemplifies_property G Y)))))))))) (All X, (All F, ((exemplifies_property F X) => ((property F) /\ (object X))))) (All X, ((object X) => ((exemplifies_property (none_greater) X) <=> ((exemplifies_property (conceivable) X) /\ (-. (Ex Y, ((object Y) /\ ((exemplifies_relation (greater_than) Y X) /\ (exemplifies_property (conceivable) Y))))))))) (All X, (All Y, (((object X) /\ (object Y)) => ((exemplifies_relation (greater_than) X Y) \/ ((exemplifies_relation (greater_than) Y X) \/ (X = Y)))))) (exemplifies_property (none_greater) T_0) (-. (exemplifies_property (existence) (god))) (All X, ((object X) => (((is_the X (none_greater)) /\ (-. (exemplifies_property (existence) X))) => (Ex Y, ((object Y) /\ ((exemplifies_relation (greater_than) Y X) /\ (exemplifies_property (conceivable) Y))))))) (is_the (god) (none_greater)) (All X, (All F, ((is_the X F) => ((property F) /\ (object X))))) ### Imply 6 81
% 5.63/5.82 83. (All X, (All F, ((is_the X F) => ((property F) /\ (object X))))) (is_the (god) (none_greater)) (All X, ((object X) => (((is_the X (none_greater)) /\ (-. (exemplifies_property (existence) X))) => (Ex Y, ((object Y) /\ ((exemplifies_relation (greater_than) Y X) /\ (exemplifies_property (conceivable) Y))))))) (-. (exemplifies_property (existence) (god))) (exemplifies_property (none_greater) T_0) (All X, (All Y, (((object X) /\ (object Y)) => ((exemplifies_relation (greater_than) X Y) \/ ((exemplifies_relation (greater_than) Y X) \/ (X = Y)))))) (All X, ((object X) => ((exemplifies_property (none_greater) X) <=> ((exemplifies_property (conceivable) X) /\ (-. (Ex Y, ((object Y) /\ ((exemplifies_relation (greater_than) Y X) /\ (exemplifies_property (conceivable) Y))))))))) (All X, (All F, ((exemplifies_property F X) => ((property F) /\ (object X))))) (All F, (All G, (All X, (((property F) /\ ((property G) /\ (object X))) => (((is_the X F) /\ (exemplifies_property G X)) <=> (Ex Y, ((object Y) /\ ((exemplifies_property F Y) /\ ((All Z, ((object Z) => ((exemplifies_property F Z) => (Z = Y)))) /\ (exemplifies_property G Y)))))))))) (object T_0) ### All 82
% 5.63/5.82 84. ((object T_0) /\ (exemplifies_property (none_greater) T_0)) (All F, (All G, (All X, (((property F) /\ ((property G) /\ (object X))) => (((is_the X F) /\ (exemplifies_property G X)) <=> (Ex Y, ((object Y) /\ ((exemplifies_property F Y) /\ ((All Z, ((object Z) => ((exemplifies_property F Z) => (Z = Y)))) /\ (exemplifies_property G Y)))))))))) (All X, (All F, ((exemplifies_property F X) => ((property F) /\ (object X))))) (All X, ((object X) => ((exemplifies_property (none_greater) X) <=> ((exemplifies_property (conceivable) X) /\ (-. (Ex Y, ((object Y) /\ ((exemplifies_relation (greater_than) Y X) /\ (exemplifies_property (conceivable) Y))))))))) (All X, (All Y, (((object X) /\ (object Y)) => ((exemplifies_relation (greater_than) X Y) \/ ((exemplifies_relation (greater_than) Y X) \/ (X = Y)))))) (-. (exemplifies_property (existence) (god))) (All X, ((object X) => (((is_the X (none_greater)) /\ (-. (exemplifies_property (existence) X))) => (Ex Y, ((object Y) /\ ((exemplifies_relation (greater_than) Y X) /\ (exemplifies_property (conceivable) Y))))))) (is_the (god) (none_greater)) (All X, (All F, ((is_the X F) => ((property F) /\ (object X))))) ### And 83
% 5.63/5.82 85. (Ex X, ((object X) /\ (exemplifies_property (none_greater) X))) (All X, (All F, ((is_the X F) => ((property F) /\ (object X))))) (is_the (god) (none_greater)) (All X, ((object X) => (((is_the X (none_greater)) /\ (-. (exemplifies_property (existence) X))) => (Ex Y, ((object Y) /\ ((exemplifies_relation (greater_than) Y X) /\ (exemplifies_property (conceivable) Y))))))) (-. (exemplifies_property (existence) (god))) (All X, (All Y, (((object X) /\ (object Y)) => ((exemplifies_relation (greater_than) X Y) \/ ((exemplifies_relation (greater_than) Y X) \/ (X = Y)))))) (All X, ((object X) => ((exemplifies_property (none_greater) X) <=> ((exemplifies_property (conceivable) X) /\ (-. (Ex Y, ((object Y) /\ ((exemplifies_relation (greater_than) Y X) /\ (exemplifies_property (conceivable) Y))))))))) (All X, (All F, ((exemplifies_property F X) => ((property F) /\ (object X))))) (All F, (All G, (All X, (((property F) /\ ((property G) /\ (object X))) => (((is_the X F) /\ (exemplifies_property G X)) <=> (Ex Y, ((object Y) /\ ((exemplifies_property F Y) /\ ((All Z, ((object Z) => ((exemplifies_property F Z) => (Z = Y)))) /\ (exemplifies_property G Y)))))))))) ### Exists 84
% 5.63/5.82 % SZS output end Proof
% 5.63/5.82 (* END-PROOF *)
%------------------------------------------------------------------------------