%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : SWV236+1 : TPTP v8.1.0. Released v3.2.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n010.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 : Wed Jul 20 23:03:24 EDT 2022 % Result : Theorem 14.31s 14.49s % Output : Proof 14.31s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.11 % Problem : SWV236+1 : TPTP v8.1.0. Released v3.2.0. % 0.11/0.12 % Command : run_zenon %s %d % 0.11/0.33 % Computer : n010.cluster.edu % 0.11/0.33 % Model : x86_64 x86_64 % 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.11/0.33 % Memory : 8042.1875MB % 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.11/0.33 % CPULimit : 300 % 0.11/0.33 % WCLimit : 600 % 0.11/0.33 % DateTime : Tue Jun 14 22:12:09 EDT 2022 % 0.11/0.33 % CPUTime : % 14.31/14.49 (* PROOF-FOUND *) % 14.31/14.49 % SZS status Theorem % 14.31/14.49 (* BEGIN-PROOF *) % 14.31/14.49 % SZS output start Proof % 14.31/14.49 Theorem find_known_exporter : (exists X : zenon_U, ((p (crypt (xor (km) (exp)) X))/\(p X))). % 14.31/14.49 Proof. % 14.31/14.49 apply NNPP. intro zenon_G. % 14.31/14.49 generalize (key_part_import___part_1 (id)). zenon_intro zenon_H1c. % 14.31/14.49 generalize (xor_rules_1 (id)). zenon_intro zenon_H1d. % 14.31/14.49 generalize (key_part_import___part_3 (id)). zenon_intro zenon_H1e. % 14.31/14.49 generalize (zenon_H1c (exp)). zenon_intro zenon_H1f. % 14.31/14.49 apply (zenon_imply_s _ _ zenon_H1f); [ zenon_intro zenon_H21 | zenon_intro zenon_H20 ]. % 14.31/14.49 apply (zenon_notand_s _ _ zenon_H21); [ zenon_intro zenon_H23 | zenon_intro zenon_H22 ]. % 14.31/14.49 exact (zenon_H23 initial_knowledge_of_intruder_4). % 14.31/14.49 exact (zenon_H22 initial_knowledge_of_intruder_9). % 14.31/14.49 apply zenon_G. exists (xor (id) (id)). apply NNPP. zenon_intro zenon_H24. % 14.31/14.49 apply (zenon_notand_s _ _ zenon_H24); [ zenon_intro zenon_H26 | zenon_intro zenon_H25 ]. % 14.31/14.49 generalize (key_part_import___part_2 (id)). zenon_intro zenon_H27. % 14.31/14.49 generalize (zenon_H1e (exp)). zenon_intro zenon_H28. % 14.31/14.49 generalize (zenon_H28 (id)). zenon_intro zenon_H29. % 14.31/14.49 apply (zenon_imply_s _ _ zenon_H29); [ zenon_intro zenon_H2b | zenon_intro zenon_H2a ]. % 14.31/14.49 apply (zenon_notand_s _ _ zenon_H2b); [ zenon_intro zenon_H23 | zenon_intro zenon_H2c ]. % 14.31/14.49 exact (zenon_H23 initial_knowledge_of_intruder_4). % 14.31/14.49 apply (zenon_notand_s _ _ zenon_H2c); [ zenon_intro zenon_H2d | zenon_intro zenon_H22 ]. % 14.31/14.49 generalize (zenon_H27 (exp)). zenon_intro zenon_H2e. % 14.31/14.49 generalize (zenon_H2e (id)). zenon_intro zenon_H2f. % 14.31/14.49 apply (zenon_imply_s _ _ zenon_H2f); [ zenon_intro zenon_H31 | zenon_intro zenon_H30 ]. % 14.31/14.49 apply (zenon_notand_s _ _ zenon_H31); [ zenon_intro zenon_H23 | zenon_intro zenon_H32 ]. % 14.31/14.49 exact (zenon_H23 initial_knowledge_of_intruder_4). % 14.31/14.49 apply (zenon_notand_s _ _ zenon_H32); [ zenon_intro zenon_H33 | zenon_intro zenon_H22 ]. % 14.31/14.49 exact (zenon_H33 zenon_H20). % 14.31/14.49 exact (zenon_H22 initial_knowledge_of_intruder_9). % 14.31/14.49 cut ((p (crypt (xor (km) (xor (exp) (kp))) (xor (id) (id)))) = (p (crypt (xor (km) (xor (exp) (kp))) (id)))). % 14.31/14.49 intro zenon_D_pnotp. % 14.31/14.49 apply zenon_H2d. % 14.31/14.49 rewrite <- zenon_D_pnotp. % 14.31/14.49 exact zenon_H30. % 14.31/14.49 cut (((crypt (xor (km) (xor (exp) (kp))) (xor (id) (id))) = (crypt (xor (km) (xor (exp) (kp))) (id)))); [idtac | apply NNPP; zenon_intro zenon_H34]. % 14.31/14.49 congruence. % 14.31/14.49 cut (((xor (id) (id)) = (id))); [idtac | apply NNPP; zenon_intro zenon_H35]. % 14.31/14.49 cut (((xor (km) (xor (exp) (kp))) = (xor (km) (xor (exp) (kp))))); [idtac | apply NNPP; zenon_intro zenon_H36]. % 14.31/14.49 congruence. % 14.31/14.49 apply zenon_H36. apply refl_equal. % 14.31/14.49 exact (zenon_H35 zenon_H1d). % 14.31/14.49 exact (zenon_H22 initial_knowledge_of_intruder_9). % 14.31/14.49 exact (zenon_H26 zenon_H2a). % 14.31/14.49 generalize (combine_with_XOR (id)). zenon_intro zenon_H37. % 14.31/14.49 generalize (zenon_H37 (id)). zenon_intro zenon_H38. % 14.31/14.49 apply (zenon_imply_s _ _ zenon_H38); [ zenon_intro zenon_H3a | zenon_intro zenon_H39 ]. % 14.31/14.49 apply (zenon_notand_s _ _ zenon_H3a); [ zenon_intro zenon_H23 | zenon_intro zenon_H23 ]. % 14.31/14.49 exact (zenon_H23 initial_knowledge_of_intruder_4). % 14.31/14.49 exact (zenon_H23 initial_knowledge_of_intruder_4). % 14.31/14.49 exact (zenon_H25 zenon_H39). % 14.31/14.49 Qed. % 14.31/14.49 % SZS output end Proof % 14.31/14.49 (* END-PROOF *) % 14.31/14.49 nodes searched: 90899 % 14.31/14.49 max branch formulas: 38167 % 14.31/14.49 proof nodes created: 509 % 14.31/14.49 formulas created: 504902 % 14.31/14.49 %------------------------------------------------------------------------------