%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : ITP091^1 : TPTP v9.2.0. Released v7.5.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n017.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 5.12s 5.30s % Output : Proof 5.12s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.08/0.12 % Problem : ITP091^1 : TPTP v9.2.0. Released v7.5.0. % 0.08/0.13 % Command : duper %s % 0.13/0.34 % Computer : n017.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 00:15:38 EDT 2025 % 0.13/0.34 % CPUTime : % 5.12/5.30 SZS status Theorem for theBenchmark.p % 5.12/5.30 SZS output start Proof for theBenchmark.p % 5.12/5.30 Clause #0 (by assumption #[]): Eq (Not (knowle945212990e_know q m)) True % 5.12/5.30 Clause #1 (by assumption #[]): Eq (Eq m (secrecy_sKS secret)) True % 5.12/5.30 Clause #8 (by assumption #[]): Eq % 5.12/5.30 (∀ (A : secrecy_specID) (M : secrecy_Secrets), % 5.12/5.30 Eq (knowle945212990e_know A (secrecy_sKS M)) % 5.12/5.30 (Or (ine A (secrecy_sE M)) (member_Secrecy_KS (secrecy_sKS M) (localSecrets A)))) % 5.12/5.30 True % 5.12/5.30 Clause #334 (by assumption #[]): Eq (Not (Not (member_Secrecy_KS (secrecy_sKS secret) (localSecrets q)))) True % 5.12/5.30 Clause #335 (by clausification #[0]): Eq (knowle945212990e_know q m) False % 5.12/5.30 Clause #336 (by clausification #[1]): Eq m (secrecy_sKS secret) % 5.12/5.30 Clause #397 (by clausification #[8]): ∀ (a : secrecy_specID), % 5.12/5.30 Eq % 5.12/5.30 (∀ (M : secrecy_Secrets), % 5.12/5.30 Eq (knowle945212990e_know a (secrecy_sKS M)) % 5.12/5.30 (Or (ine a (secrecy_sE M)) (member_Secrecy_KS (secrecy_sKS M) (localSecrets a)))) % 5.12/5.30 True % 5.12/5.30 Clause #398 (by clausification #[397]): ∀ (a : secrecy_specID) (a_1 : secrecy_Secrets), % 5.12/5.30 Eq % 5.12/5.30 (Eq (knowle945212990e_know a (secrecy_sKS a_1)) % 5.12/5.30 (Or (ine a (secrecy_sE a_1)) (member_Secrecy_KS (secrecy_sKS a_1) (localSecrets a)))) % 5.12/5.30 True % 5.12/5.30 Clause #399 (by clausification #[398]): ∀ (a : secrecy_specID) (a_1 : secrecy_Secrets), % 5.12/5.30 Eq (knowle945212990e_know a (secrecy_sKS a_1)) % 5.12/5.30 (Or (ine a (secrecy_sE a_1)) (member_Secrecy_KS (secrecy_sKS a_1) (localSecrets a))) % 5.12/5.30 Clause #400 (by identity loobHoist #[399]): ∀ (a : secrecy_specID) (a_1 : secrecy_Secrets), % 5.12/5.30 Or (Eq (knowle945212990e_know a (secrecy_sKS a_1)) (Or (ine a (secrecy_sE a_1)) True)) % 5.12/5.30 (Eq (member_Secrecy_KS (secrecy_sKS a_1) (localSecrets a)) False) % 5.12/5.30 Clause #402 (by bool simp #[400]): ∀ (a : secrecy_specID) (a_1 : secrecy_Secrets), % 5.12/5.30 Or (Eq (knowle945212990e_know a (secrecy_sKS a_1)) True) % 5.12/5.30 (Eq (member_Secrecy_KS (secrecy_sKS a_1) (localSecrets a)) False) % 5.12/5.30 Clause #403 (by superposition #[402, 336]): ∀ (a : secrecy_specID), Or (Eq (knowle945212990e_know a m) True) (Eq (member_Secrecy_KS m (localSecrets a)) False) % 5.12/5.30 Clause #649 (by clausification #[334]): Eq (Not (member_Secrecy_KS (secrecy_sKS secret) (localSecrets q))) False % 5.12/5.30 Clause #650 (by clausification #[649]): Eq (member_Secrecy_KS (secrecy_sKS secret) (localSecrets q)) True % 5.12/5.30 Clause #651 (by forward demodulation #[650, 336]): Eq (member_Secrecy_KS m (localSecrets q)) True % 5.12/5.30 Clause #1050 (by superposition #[403, 651]): Or (Eq (knowle945212990e_know q m) True) (Eq True False) % 5.12/5.30 Clause #1051 (by clausification #[1050]): Eq (knowle945212990e_know q m) True % 5.12/5.30 Clause #1052 (by superposition #[1051, 335]): Eq True False % 5.12/5.30 Clause #1055 (by clausification #[1052]): False % 5.12/5.30 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------