TSTP Solution File: MGT043+1 by Zenon---0.7.1
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%------------------------------------------------------------------------------
% File : Zenon---0.7.1
% Problem : MGT043+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_zenon %s %d
% Computer : n025.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 22:31:09 EDT 2022
% Result : Theorem 0.46s 0.69s
% Output : Proof 0.46s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : MGT043+1 : TPTP v8.1.0. Released v2.4.0.
% 0.10/0.13 % Command : run_zenon %s %d
% 0.13/0.34 % Computer : n025.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % 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 11:49:50 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.46/0.69 (* PROOF-FOUND *)
% 0.46/0.69 % SZS status Theorem
% 0.46/0.69 (* BEGIN-PROOF *)
% 0.46/0.69 % SZS output start Proof
% 0.46/0.69 Theorem lemma_2 : (forall X : zenon_U, (forall T0 : zenon_U, (forall T : zenon_U, (((organization X)/\((~(has_immunity X T0))/\((~(has_immunity X T))/\(((stock_of_knowledge X T) = (stock_of_knowledge X T0))/\((greater (internal_friction X T) (internal_friction X T0))/\((external_ties X T0) = (external_ties X T)))))))->(greater (hazard_of_mortality X T) (hazard_of_mortality X T0)))))).
% 0.46/0.69 Proof.
% 0.46/0.69 assert (zenon_L1_ : forall (zenon_TT0_o : zenon_U) (zenon_TT_p : zenon_U) (zenon_TX_q : zenon_U), (forall T : zenon_U, ((organization zenon_TX_q)->(((greater (external_ties zenon_TX_q T) (external_ties zenon_TX_q zenon_TT_p))->(greater (position zenon_TX_q T) (position zenon_TX_q zenon_TT_p)))/\(((external_ties zenon_TX_q T) = (external_ties zenon_TX_q zenon_TT_p))->((position zenon_TX_q T) = (position zenon_TX_q zenon_TT_p)))))) -> (organization zenon_TX_q) -> ((external_ties zenon_TX_q zenon_TT0_o) = (external_ties zenon_TX_q zenon_TT_p)) -> (~((position zenon_TX_q zenon_TT0_o) = (position zenon_TX_q zenon_TT_p))) -> False).
% 0.46/0.69 do 3 intro. intros zenon_Ha zenon_Hb zenon_Hc zenon_Hd.
% 0.46/0.69 generalize (zenon_Ha zenon_TT0_o). zenon_intro zenon_H11.
% 0.46/0.69 apply (zenon_imply_s _ _ zenon_H11); [ zenon_intro zenon_H13 | zenon_intro zenon_H12 ].
% 0.46/0.69 exact (zenon_H13 zenon_Hb).
% 0.46/0.69 apply (zenon_and_s _ _ zenon_H12). zenon_intro zenon_H15. zenon_intro zenon_H14.
% 0.46/0.69 apply (zenon_imply_s _ _ zenon_H14); [ zenon_intro zenon_H17 | zenon_intro zenon_H16 ].
% 0.46/0.69 exact (zenon_H17 zenon_Hc).
% 0.46/0.69 exact (zenon_Hd zenon_H16).
% 0.46/0.69 (* end of lemma zenon_L1_ *)
% 0.46/0.69 assert (zenon_L2_ : forall (zenon_TT_p : zenon_U) (zenon_TT0_o : zenon_U) (zenon_TX_q : zenon_U), (smaller (hazard_of_mortality zenon_TX_q zenon_TT0_o) (hazard_of_mortality zenon_TX_q zenon_TT_p)) -> (~(greater (hazard_of_mortality zenon_TX_q zenon_TT_p) (hazard_of_mortality zenon_TX_q zenon_TT0_o))) -> False).
% 0.46/0.69 do 3 intro. intros zenon_H18 zenon_H19.
% 0.46/0.69 generalize (definition_smaller (hazard_of_mortality zenon_TX_q zenon_TT0_o)). zenon_intro zenon_H1a.
% 0.46/0.69 generalize (zenon_H1a (hazard_of_mortality zenon_TX_q zenon_TT_p)). zenon_intro zenon_H1b.
% 0.46/0.69 apply (zenon_equiv_s _ _ zenon_H1b); [ zenon_intro zenon_H1d; zenon_intro zenon_H19 | zenon_intro zenon_H18; zenon_intro zenon_H1c ].
% 0.46/0.69 exact (zenon_H1d zenon_H18).
% 0.46/0.69 exact (zenon_H19 zenon_H1c).
% 0.46/0.69 (* end of lemma zenon_L2_ *)
% 0.46/0.69 apply NNPP. intro zenon_G.
% 0.46/0.69 apply (zenon_notallex_s (fun X : zenon_U => (forall T0 : zenon_U, (forall T : zenon_U, (((organization X)/\((~(has_immunity X T0))/\((~(has_immunity X T))/\(((stock_of_knowledge X T) = (stock_of_knowledge X T0))/\((greater (internal_friction X T) (internal_friction X T0))/\((external_ties X T0) = (external_ties X T)))))))->(greater (hazard_of_mortality X T) (hazard_of_mortality X T0)))))) zenon_G); [ zenon_intro zenon_H1e; idtac ].
% 0.46/0.69 elim zenon_H1e. zenon_intro zenon_TX_q. zenon_intro zenon_H1f.
% 0.46/0.69 apply (zenon_notallex_s (fun T0 : zenon_U => (forall T : zenon_U, (((organization zenon_TX_q)/\((~(has_immunity zenon_TX_q T0))/\((~(has_immunity zenon_TX_q T))/\(((stock_of_knowledge zenon_TX_q T) = (stock_of_knowledge zenon_TX_q T0))/\((greater (internal_friction zenon_TX_q T) (internal_friction zenon_TX_q T0))/\((external_ties zenon_TX_q T0) = (external_ties zenon_TX_q T)))))))->(greater (hazard_of_mortality zenon_TX_q T) (hazard_of_mortality zenon_TX_q T0))))) zenon_H1f); [ zenon_intro zenon_H20; idtac ].
% 0.46/0.69 elim zenon_H20. zenon_intro zenon_TT0_o. zenon_intro zenon_H21.
% 0.46/0.69 apply (zenon_notallex_s (fun T : zenon_U => (((organization zenon_TX_q)/\((~(has_immunity zenon_TX_q zenon_TT0_o))/\((~(has_immunity zenon_TX_q T))/\(((stock_of_knowledge zenon_TX_q T) = (stock_of_knowledge zenon_TX_q zenon_TT0_o))/\((greater (internal_friction zenon_TX_q T) (internal_friction zenon_TX_q zenon_TT0_o))/\((external_ties zenon_TX_q zenon_TT0_o) = (external_ties zenon_TX_q T)))))))->(greater (hazard_of_mortality zenon_TX_q T) (hazard_of_mortality zenon_TX_q zenon_TT0_o)))) zenon_H21); [ zenon_intro zenon_H22; idtac ].
% 0.46/0.69 elim zenon_H22. zenon_intro zenon_TT_p. zenon_intro zenon_H23.
% 0.46/0.69 apply (zenon_notimply_s _ _ zenon_H23). zenon_intro zenon_H24. zenon_intro zenon_H19.
% 0.46/0.69 apply (zenon_and_s _ _ zenon_H24). zenon_intro zenon_Hb. zenon_intro zenon_H25.
% 0.46/0.69 apply (zenon_and_s _ _ zenon_H25). zenon_intro zenon_H27. zenon_intro zenon_H26.
% 0.46/0.69 apply (zenon_and_s _ _ zenon_H26). zenon_intro zenon_H29. zenon_intro zenon_H28.
% 0.46/0.69 apply (zenon_and_s _ _ zenon_H28). zenon_intro zenon_H2b. zenon_intro zenon_H2a.
% 0.46/0.69 apply (zenon_and_s _ _ zenon_H2a). zenon_intro zenon_H2c. zenon_intro zenon_Hc.
% 0.46/0.69 generalize (assumption_4 zenon_TX_q). zenon_intro zenon_H2d.
% 0.46/0.69 generalize (zenon_H2d zenon_TT_p). zenon_intro zenon_H2e.
% 0.46/0.69 generalize (zenon_H2e zenon_TT0_o). zenon_intro zenon_H2f.
% 0.46/0.69 apply (zenon_imply_s _ _ zenon_H2f); [ zenon_intro zenon_H31 | zenon_intro zenon_H30 ].
% 0.46/0.69 apply (zenon_notand_s _ _ zenon_H31); [ zenon_intro zenon_H13 | zenon_intro zenon_H32 ].
% 0.46/0.69 exact (zenon_H13 zenon_Hb).
% 0.46/0.69 apply (zenon_notand_s _ _ zenon_H32); [ zenon_intro zenon_H34 | zenon_intro zenon_H33 ].
% 0.46/0.69 exact (zenon_H34 zenon_H29).
% 0.46/0.69 exact (zenon_H33 zenon_H27).
% 0.46/0.69 apply (zenon_and_s _ _ zenon_H30). zenon_intro zenon_H36. zenon_intro zenon_H35.
% 0.46/0.69 apply (zenon_imply_s _ _ zenon_H36); [ zenon_intro zenon_H37 | zenon_intro zenon_H18 ].
% 0.46/0.69 apply (zenon_notand_s _ _ zenon_H37); [ zenon_intro zenon_H39 | zenon_intro zenon_H38 ].
% 0.46/0.69 generalize (assumption_5 zenon_TX_q). zenon_intro zenon_H3a.
% 0.46/0.69 generalize (zenon_H3a zenon_TT0_o). zenon_intro zenon_H3b.
% 0.46/0.69 generalize (zenon_H3b zenon_TT_p). zenon_intro zenon_H3c.
% 0.46/0.69 apply (zenon_imply_s _ _ zenon_H3c); [ zenon_intro zenon_H13 | zenon_intro zenon_H3d ].
% 0.46/0.69 exact (zenon_H13 zenon_Hb).
% 0.46/0.69 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H3f. zenon_intro zenon_H3e.
% 0.46/0.69 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H41. zenon_intro zenon_H40.
% 0.46/0.69 apply (zenon_imply_s _ _ zenon_H41); [ zenon_intro zenon_H43 | zenon_intro zenon_H42 ].
% 0.46/0.69 apply (zenon_notand_s _ _ zenon_H43); [ zenon_intro zenon_H45 | zenon_intro zenon_H44 ].
% 0.46/0.69 generalize (definition_smaller_or_equal (stock_of_knowledge zenon_TX_q zenon_TT_p)). zenon_intro zenon_H46.
% 0.46/0.69 generalize (zenon_H46 (stock_of_knowledge zenon_TX_q zenon_TT0_o)). zenon_intro zenon_H47.
% 0.46/0.69 apply (zenon_equiv_s _ _ zenon_H47); [ zenon_intro zenon_H45; zenon_intro zenon_H4a | zenon_intro zenon_H49; zenon_intro zenon_H48 ].
% 0.46/0.69 apply (zenon_notor_s _ _ zenon_H4a). zenon_intro zenon_H4c. zenon_intro zenon_H4b.
% 0.46/0.69 exact (zenon_H4b zenon_H2b).
% 0.46/0.69 exact (zenon_H45 zenon_H49).
% 0.46/0.69 exact (zenon_H44 zenon_H2c).
% 0.46/0.69 generalize (definition_smaller (capability zenon_TX_q zenon_TT_p)). zenon_intro zenon_H4d.
% 0.46/0.69 generalize (zenon_H4d (capability zenon_TX_q zenon_TT0_o)). zenon_intro zenon_H4e.
% 0.46/0.69 apply (zenon_equiv_s _ _ zenon_H4e); [ zenon_intro zenon_H50; zenon_intro zenon_H39 | zenon_intro zenon_H42; zenon_intro zenon_H4f ].
% 0.46/0.69 exact (zenon_H50 zenon_H42).
% 0.46/0.69 exact (zenon_H39 zenon_H4f).
% 0.46/0.69 generalize (definition_greater_or_equal (position zenon_TX_q zenon_TT0_o)). zenon_intro zenon_H51.
% 0.46/0.69 generalize (zenon_H51 (position zenon_TX_q zenon_TT_p)). zenon_intro zenon_H52.
% 0.46/0.69 apply (zenon_equiv_s _ _ zenon_H52); [ zenon_intro zenon_H38; zenon_intro zenon_H55 | zenon_intro zenon_H54; zenon_intro zenon_H53 ].
% 0.46/0.69 apply (zenon_notor_s _ _ zenon_H55). zenon_intro zenon_H56. zenon_intro zenon_Hd.
% 0.46/0.69 generalize (assumption_6 zenon_TX_q). zenon_intro zenon_H57.
% 0.46/0.69 generalize (zenon_H57 zenon_TT_p). zenon_intro zenon_Ha.
% 0.46/0.69 apply (zenon_L1_ zenon_TT0_o zenon_TT_p zenon_TX_q); trivial.
% 0.46/0.69 exact (zenon_H38 zenon_H54).
% 0.46/0.69 apply (zenon_L2_ zenon_TT_p zenon_TT0_o zenon_TX_q); trivial.
% 0.46/0.69 Qed.
% 0.46/0.69 % SZS output end Proof
% 0.46/0.69 (* END-PROOF *)
% 0.46/0.69 nodes searched: 9160
% 0.46/0.69 max branch formulas: 562
% 0.46/0.69 proof nodes created: 190
% 0.46/0.69 formulas created: 8242
% 0.46/0.69
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