%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : ITP090^2 : TPTP v9.2.0. Released v7.5.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n003.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 12.96s 13.15s % Output : Proof 12.96s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.10/0.11 % Problem : ITP090^2 : TPTP v9.2.0. Released v7.5.0. % 0.10/0.13 % Command : duper %s % 0.13/0.34 % Computer : n003.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 : Thu Oct 2 23:48:38 EDT 2025 % 0.13/0.34 % CPUTime : % 12.96/13.15 SZS status Theorem for theBenchmark.p % 12.96/13.15 SZS output start Proof for theBenchmark.p % 12.96/13.15 Clause #0 (by assumption #[]): Eq (Not (knowle1437066798e_know q m)) True % 12.96/13.15 Clause #1 (by assumption #[]): Eq (Eq m (secrecy_kKS key)) True % 12.96/13.15 Clause #10 (by assumption #[]): Eq % 12.96/13.15 (∀ (A2 : secrecy_specID) (M : secrecy_Keys), % 12.96/13.15 Eq (knowle1437066798e_know A2 (secrecy_kKS M)) % 12.96/13.15 (Or (ine A2 (secrecy_kE M)) (member secrecy_KS (secrecy_kKS M) (localSecrets A2)))) % 12.96/13.15 True % 12.96/13.15 Clause #271 (by assumption #[]): Eq (Not (Not (member secrecy_KS (secrecy_kKS key) (localSecrets q)))) True % 12.96/13.15 Clause #272 (by clausification #[0]): Eq (knowle1437066798e_know q m) False % 12.96/13.15 Clause #273 (by clausification #[1]): Eq m (secrecy_kKS key) % 12.96/13.15 Clause #503 (by clausification #[10]): ∀ (a : secrecy_specID), % 12.96/13.15 Eq % 12.96/13.15 (∀ (M : secrecy_Keys), % 12.96/13.15 Eq (knowle1437066798e_know a (secrecy_kKS M)) % 12.96/13.15 (Or (ine a (secrecy_kE M)) (member secrecy_KS (secrecy_kKS M) (localSecrets a)))) % 12.96/13.15 True % 12.96/13.15 Clause #504 (by clausification #[503]): ∀ (a : secrecy_specID) (a_1 : secrecy_Keys), % 12.96/13.16 Eq % 12.96/13.16 (Eq (knowle1437066798e_know a (secrecy_kKS a_1)) % 12.96/13.16 (Or (ine a (secrecy_kE a_1)) (member secrecy_KS (secrecy_kKS a_1) (localSecrets a)))) % 12.96/13.16 True % 12.96/13.16 Clause #505 (by clausification #[504]): ∀ (a : secrecy_specID) (a_1 : secrecy_Keys), % 12.96/13.16 Eq (knowle1437066798e_know a (secrecy_kKS a_1)) % 12.96/13.16 (Or (ine a (secrecy_kE a_1)) (member secrecy_KS (secrecy_kKS a_1) (localSecrets a))) % 12.96/13.16 Clause #506 (by identity loobHoist #[505]): ∀ (a : secrecy_specID) (a_1 : secrecy_Keys), % 12.96/13.16 Or (Eq (knowle1437066798e_know a (secrecy_kKS a_1)) (Or (ine a (secrecy_kE a_1)) True)) % 12.96/13.16 (Eq (member secrecy_KS (secrecy_kKS a_1) (localSecrets a)) False) % 12.96/13.16 Clause #508 (by bool simp #[506]): ∀ (a : secrecy_specID) (a_1 : secrecy_Keys), % 12.96/13.16 Or (Eq (knowle1437066798e_know a (secrecy_kKS a_1)) True) % 12.96/13.16 (Eq (member secrecy_KS (secrecy_kKS a_1) (localSecrets a)) False) % 12.96/13.16 Clause #511 (by superposition #[508, 273]): ∀ (a : secrecy_specID), Or (Eq (knowle1437066798e_know a m) True) (Eq (member secrecy_KS m (localSecrets a)) False) % 12.96/13.16 Clause #1890 (by clausification #[271]): Eq (Not (member secrecy_KS (secrecy_kKS key) (localSecrets q))) False % 12.96/13.16 Clause #1891 (by clausification #[1890]): Eq (member secrecy_KS (secrecy_kKS key) (localSecrets q)) True % 12.96/13.16 Clause #1892 (by forward demodulation #[1891, 273]): Eq (member secrecy_KS m (localSecrets q)) True % 12.96/13.16 Clause #2846 (by superposition #[511, 1892]): Or (Eq (knowle1437066798e_know q m) True) (Eq True False) % 12.96/13.16 Clause #2851 (by clausification #[2846]): Eq (knowle1437066798e_know q m) True % 12.96/13.16 Clause #2852 (by superposition #[2851, 272]): Eq True False % 12.96/13.16 Clause #2864 (by clausification #[2852]): False % 12.96/13.16 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------