TSTP Solution File: ITP090^2 by Duper---1.0
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%------------------------------------------------------------------------------
% File : Duper---1.0
% Problem : ITP090^2 : TPTP v8.1.2. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% 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 : 300s
% DateTime : Thu Aug 31 03:38:42 EDT 2023
% Result : Theorem 11.91s 12.08s
% Output : Proof 11.91s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : ITP090^2 : TPTP v8.1.2. Released v7.5.0.
% 0.13/0.13 % Command : duper %s
% 0.13/0.34 % Computer : n010.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 : Sun Aug 27 10:53:04 EDT 2023
% 0.13/0.35 % CPUTime :
% 11.91/12.08 SZS status Theorem for theBenchmark.p
% 11.91/12.08 SZS output start Proof for theBenchmark.p
% 11.91/12.08 Clause #0 (by assumption #[]): Eq (Not (knowle1437066798e_know q m)) True
% 11.91/12.08 Clause #1 (by assumption #[]): Eq (Eq m (secrecy_kKS key)) True
% 11.91/12.08 Clause #10 (by assumption #[]): Eq
% 11.91/12.08 (∀ (A2 : secrecy_specID) (M : secrecy_Keys),
% 11.91/12.08 Eq (knowle1437066798e_know A2 (secrecy_kKS M))
% 11.91/12.08 (Or (ine A2 (secrecy_kE M)) (member secrecy_KS (secrecy_kKS M) (localSecrets A2))))
% 11.91/12.08 True
% 11.91/12.08 Clause #271 (by assumption #[]): Eq (Not (Not (member secrecy_KS (secrecy_kKS key) (localSecrets q)))) True
% 11.91/12.08 Clause #272 (by clausification #[0]): Eq (knowle1437066798e_know q m) False
% 11.91/12.08 Clause #273 (by clausification #[1]): Eq m (secrecy_kKS key)
% 11.91/12.08 Clause #503 (by clausification #[10]): ∀ (a : secrecy_specID),
% 11.91/12.08 Eq
% 11.91/12.08 (∀ (M : secrecy_Keys),
% 11.91/12.08 Eq (knowle1437066798e_know a (secrecy_kKS M))
% 11.91/12.08 (Or (ine a (secrecy_kE M)) (member secrecy_KS (secrecy_kKS M) (localSecrets a))))
% 11.91/12.08 True
% 11.91/12.08 Clause #504 (by clausification #[503]): ∀ (a : secrecy_specID) (a_1 : secrecy_Keys),
% 11.91/12.08 Eq
% 11.91/12.08 (Eq (knowle1437066798e_know a (secrecy_kKS a_1))
% 11.91/12.08 (Or (ine a (secrecy_kE a_1)) (member secrecy_KS (secrecy_kKS a_1) (localSecrets a))))
% 11.91/12.08 True
% 11.91/12.08 Clause #505 (by clausification #[504]): ∀ (a : secrecy_specID) (a_1 : secrecy_Keys),
% 11.91/12.08 Eq (knowle1437066798e_know a (secrecy_kKS a_1))
% 11.91/12.08 (Or (ine a (secrecy_kE a_1)) (member secrecy_KS (secrecy_kKS a_1) (localSecrets a)))
% 11.91/12.08 Clause #506 (by identity loobHoist #[505]): ∀ (a : secrecy_specID) (a_1 : secrecy_Keys),
% 11.91/12.08 Or (Eq (knowle1437066798e_know a (secrecy_kKS a_1)) (Or (ine a (secrecy_kE a_1)) True))
% 11.91/12.08 (Eq (member secrecy_KS (secrecy_kKS a_1) (localSecrets a)) False)
% 11.91/12.08 Clause #508 (by bool simp #[506]): ∀ (a : secrecy_specID) (a_1 : secrecy_Keys),
% 11.91/12.08 Or (Eq (knowle1437066798e_know a (secrecy_kKS a_1)) True)
% 11.91/12.08 (Eq (member secrecy_KS (secrecy_kKS a_1) (localSecrets a)) False)
% 11.91/12.08 Clause #511 (by superposition #[508, 273]): ∀ (a : secrecy_specID), Or (Eq (knowle1437066798e_know a m) True) (Eq (member secrecy_KS m (localSecrets a)) False)
% 11.91/12.08 Clause #1890 (by clausification #[271]): Eq (Not (member secrecy_KS (secrecy_kKS key) (localSecrets q))) False
% 11.91/12.08 Clause #1891 (by clausification #[1890]): Eq (member secrecy_KS (secrecy_kKS key) (localSecrets q)) True
% 11.91/12.08 Clause #1892 (by forward demodulation #[1891, 273]): Eq (member secrecy_KS m (localSecrets q)) True
% 11.91/12.08 Clause #2846 (by superposition #[511, 1892]): Or (Eq (knowle1437066798e_know q m) True) (Eq True False)
% 11.91/12.08 Clause #2851 (by clausification #[2846]): Eq (knowle1437066798e_know q m) True
% 11.91/12.08 Clause #2852 (by superposition #[2851, 272]): Eq True False
% 11.91/12.08 Clause #2864 (by clausification #[2852]): False
% 11.91/12.08 SZS output end Proof for theBenchmark.p
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