%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : ITP090^1 : TPTP v9.2.0. Released v7.5.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n020.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 : 300s % DateTime : Fri Oct 3 07:51:12 PM UTC 2025 % Result : Theorem 4.89s 5.08s % Output : Proof 4.89s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.11 % Problem : ITP090^1 : TPTP v9.2.0. Released v7.5.0. % 0.11/0.13 % Command : duper %s % 0.13/0.34 % Computer : n020.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 : 300 % 0.13/0.34 % DateTime : Fri Oct 3 00:25:38 EDT 2025 % 0.13/0.34 % CPUTime : % 4.89/5.08 SZS status Theorem for theBenchmark.p % 4.89/5.08 SZS output start Proof for theBenchmark.p % 4.89/5.08 Clause #0 (by assumption #[]): Eq (Not (knowle945212990e_know q m)) True % 4.89/5.08 Clause #1 (by assumption #[]): Eq (Eq m (secrecy_kKS key)) True % 4.89/5.08 Clause #8 (by assumption #[]): Eq % 4.89/5.08 (∀ (A : secrecy_specID) (M : secrecy_Keys), % 4.89/5.08 Eq (knowle945212990e_know A (secrecy_kKS M)) % 4.89/5.08 (Or (ine A (secrecy_kE M)) (member_Secrecy_KS (secrecy_kKS M) (localSecrets A)))) % 4.89/5.08 True % 4.89/5.08 Clause #341 (by assumption #[]): Eq (Not (Not (member_Secrecy_KS (secrecy_kKS key) (localSecrets q)))) True % 4.89/5.08 Clause #342 (by clausification #[0]): Eq (knowle945212990e_know q m) False % 4.89/5.08 Clause #343 (by clausification #[1]): Eq m (secrecy_kKS key) % 4.89/5.08 Clause #392 (by clausification #[8]): ∀ (a : secrecy_specID), % 4.89/5.08 Eq % 4.89/5.08 (∀ (M : secrecy_Keys), % 4.89/5.08 Eq (knowle945212990e_know a (secrecy_kKS M)) % 4.89/5.08 (Or (ine a (secrecy_kE M)) (member_Secrecy_KS (secrecy_kKS M) (localSecrets a)))) % 4.89/5.08 True % 4.89/5.08 Clause #393 (by clausification #[392]): ∀ (a : secrecy_specID) (a_1 : secrecy_Keys), % 4.89/5.08 Eq % 4.89/5.08 (Eq (knowle945212990e_know a (secrecy_kKS a_1)) % 4.89/5.08 (Or (ine a (secrecy_kE a_1)) (member_Secrecy_KS (secrecy_kKS a_1) (localSecrets a)))) % 4.89/5.08 True % 4.89/5.08 Clause #394 (by clausification #[393]): ∀ (a : secrecy_specID) (a_1 : secrecy_Keys), % 4.89/5.08 Eq (knowle945212990e_know a (secrecy_kKS a_1)) % 4.89/5.08 (Or (ine a (secrecy_kE a_1)) (member_Secrecy_KS (secrecy_kKS a_1) (localSecrets a))) % 4.89/5.08 Clause #395 (by identity loobHoist #[394]): ∀ (a : secrecy_specID) (a_1 : secrecy_Keys), % 4.89/5.08 Or (Eq (knowle945212990e_know a (secrecy_kKS a_1)) (Or (ine a (secrecy_kE a_1)) True)) % 4.89/5.08 (Eq (member_Secrecy_KS (secrecy_kKS a_1) (localSecrets a)) False) % 4.89/5.08 Clause #397 (by bool simp #[395]): ∀ (a : secrecy_specID) (a_1 : secrecy_Keys), % 4.89/5.08 Or (Eq (knowle945212990e_know a (secrecy_kKS a_1)) True) % 4.89/5.08 (Eq (member_Secrecy_KS (secrecy_kKS a_1) (localSecrets a)) False) % 4.89/5.08 Clause #398 (by superposition #[397, 343]): ∀ (a : secrecy_specID), Or (Eq (knowle945212990e_know a m) True) (Eq (member_Secrecy_KS m (localSecrets a)) False) % 4.89/5.08 Clause #1069 (by clausification #[341]): Eq (Not (member_Secrecy_KS (secrecy_kKS key) (localSecrets q))) False % 4.89/5.08 Clause #1070 (by clausification #[1069]): Eq (member_Secrecy_KS (secrecy_kKS key) (localSecrets q)) True % 4.89/5.08 Clause #1071 (by forward demodulation #[1070, 343]): Eq (member_Secrecy_KS m (localSecrets q)) True % 4.89/5.08 Clause #1089 (by superposition #[398, 1071]): Or (Eq (knowle945212990e_know q m) True) (Eq True False) % 4.89/5.08 Clause #1092 (by clausification #[1089]): Eq (knowle945212990e_know q m) True % 4.89/5.08 Clause #1093 (by superposition #[1092, 342]): Eq True False % 4.89/5.08 Clause #1113 (by clausification #[1093]): False % 4.89/5.08 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------