TSTP Solution File: MGT059+1 by Zenon---0.7.1
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% File : Zenon---0.7.1
% Problem : MGT059+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_zenon %s %d
% Computer : n023.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sun Jul 17 22:31:14 EDT 2022
% Result : Theorem 0.49s 0.70s
% Output : Proof 0.49s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : MGT059+1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.12 % Command : run_zenon %s %d
% 0.12/0.33 % Computer : n023.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 08:43:23 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.49/0.70 (* PROOF-FOUND *)
% 0.49/0.70 % SZS status Theorem
% 0.49/0.70 (* BEGIN-PROOF *)
% 0.49/0.70 % SZS output start Proof
% 0.49/0.70 Theorem assumption_2 : (forall X : zenon_U, (forall T0 : zenon_U, (forall T : zenon_U, (((organization X)/\((has_immunity X T0)/\(has_immunity X T)))->((hazard_of_mortality X T0) = (hazard_of_mortality X T)))))).
% 0.49/0.70 Proof.
% 0.49/0.70 apply NNPP. intro zenon_G.
% 0.49/0.70 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)))->((hazard_of_mortality X T0) = (hazard_of_mortality X T)))))) zenon_G); [ zenon_intro zenon_H8; idtac ].
% 0.49/0.70 elim zenon_H8. zenon_intro zenon_TX_j. zenon_intro zenon_Ha.
% 0.49/0.70 apply (zenon_notallex_s (fun T0 : zenon_U => (forall T : zenon_U, (((organization zenon_TX_j)/\((has_immunity zenon_TX_j T0)/\(has_immunity zenon_TX_j T)))->((hazard_of_mortality zenon_TX_j T0) = (hazard_of_mortality zenon_TX_j T))))) zenon_Ha); [ zenon_intro zenon_Hb; idtac ].
% 0.49/0.70 elim zenon_Hb. zenon_intro zenon_TT0_m. zenon_intro zenon_Hd.
% 0.49/0.70 apply (zenon_notallex_s (fun T : zenon_U => (((organization zenon_TX_j)/\((has_immunity zenon_TX_j zenon_TT0_m)/\(has_immunity zenon_TX_j T)))->((hazard_of_mortality zenon_TX_j zenon_TT0_m) = (hazard_of_mortality zenon_TX_j T)))) zenon_Hd); [ zenon_intro zenon_He; idtac ].
% 0.49/0.70 elim zenon_He. zenon_intro zenon_TT_p. zenon_intro zenon_H10.
% 0.49/0.70 apply (zenon_notimply_s _ _ zenon_H10). zenon_intro zenon_H12. zenon_intro zenon_H11.
% 0.49/0.70 apply (zenon_and_s _ _ zenon_H12). zenon_intro zenon_H14. zenon_intro zenon_H13.
% 0.49/0.70 apply (zenon_and_s _ _ zenon_H13). zenon_intro zenon_H16. zenon_intro zenon_H15.
% 0.49/0.70 generalize (assumption_17 zenon_TX_j). zenon_intro zenon_H17.
% 0.49/0.70 generalize (zenon_H17 zenon_TT_p). zenon_intro zenon_H18.
% 0.49/0.70 apply (zenon_imply_s _ _ zenon_H18); [ zenon_intro zenon_H1a | zenon_intro zenon_H19 ].
% 0.49/0.70 exact (zenon_H1a zenon_H14).
% 0.49/0.70 apply (zenon_and_s _ _ zenon_H19). zenon_intro zenon_H1c. zenon_intro zenon_H1b.
% 0.49/0.70 apply (zenon_imply_s _ _ zenon_H1c); [ zenon_intro zenon_H1e | zenon_intro zenon_H1d ].
% 0.49/0.70 exact (zenon_H1e zenon_H15).
% 0.49/0.70 generalize (zenon_H17 zenon_TT0_m). zenon_intro zenon_H1f.
% 0.49/0.70 apply (zenon_imply_s _ _ zenon_H1f); [ zenon_intro zenon_H1a | zenon_intro zenon_H20 ].
% 0.49/0.70 exact (zenon_H1a zenon_H14).
% 0.49/0.70 apply (zenon_and_s _ _ zenon_H20). zenon_intro zenon_H22. zenon_intro zenon_H21.
% 0.49/0.70 apply (zenon_imply_s _ _ zenon_H22); [ zenon_intro zenon_H24 | zenon_intro zenon_H23 ].
% 0.49/0.70 exact (zenon_H24 zenon_H16).
% 0.49/0.70 elim (classic ((hazard_of_mortality zenon_TX_j zenon_TT_p) = (hazard_of_mortality zenon_TX_j zenon_TT_p))); [ zenon_intro zenon_H25 | zenon_intro zenon_H26 ].
% 0.49/0.70 cut (((hazard_of_mortality zenon_TX_j zenon_TT_p) = (hazard_of_mortality zenon_TX_j zenon_TT_p)) = ((hazard_of_mortality zenon_TX_j zenon_TT0_m) = (hazard_of_mortality zenon_TX_j zenon_TT_p))).
% 0.49/0.70 intro zenon_D_pnotp.
% 0.49/0.70 apply zenon_H11.
% 0.49/0.70 rewrite <- zenon_D_pnotp.
% 0.49/0.70 exact zenon_H25.
% 0.49/0.70 cut (((hazard_of_mortality zenon_TX_j zenon_TT_p) = (hazard_of_mortality zenon_TX_j zenon_TT_p))); [idtac | apply NNPP; zenon_intro zenon_H26].
% 0.49/0.70 cut (((hazard_of_mortality zenon_TX_j zenon_TT_p) = (hazard_of_mortality zenon_TX_j zenon_TT0_m))); [idtac | apply NNPP; zenon_intro zenon_H27].
% 0.49/0.70 congruence.
% 0.49/0.70 cut (((hazard_of_mortality zenon_TX_j zenon_TT_p) = (very_low)) = ((hazard_of_mortality zenon_TX_j zenon_TT_p) = (hazard_of_mortality zenon_TX_j zenon_TT0_m))).
% 0.49/0.70 intro zenon_D_pnotp.
% 0.49/0.70 apply zenon_H27.
% 0.49/0.70 rewrite <- zenon_D_pnotp.
% 0.49/0.70 exact zenon_H1d.
% 0.49/0.70 cut (((very_low) = (hazard_of_mortality zenon_TX_j zenon_TT0_m))); [idtac | apply NNPP; zenon_intro zenon_H28].
% 0.49/0.70 cut (((hazard_of_mortality zenon_TX_j zenon_TT_p) = (hazard_of_mortality zenon_TX_j zenon_TT_p))); [idtac | apply NNPP; zenon_intro zenon_H26].
% 0.49/0.70 congruence.
% 0.49/0.70 apply zenon_H26. apply refl_equal.
% 0.49/0.70 apply zenon_H28. apply sym_equal. exact zenon_H23.
% 0.49/0.70 apply zenon_H26. apply refl_equal.
% 0.49/0.70 apply zenon_H26. apply refl_equal.
% 0.49/0.70 Qed.
% 0.49/0.70 % SZS output end Proof
% 0.49/0.70 (* END-PROOF *)
% 0.49/0.70 nodes searched: 14887
% 0.49/0.70 max branch formulas: 648
% 0.49/0.70 proof nodes created: 446
% 0.49/0.70 formulas created: 7086
% 0.49/0.70
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