TSTP Solution File: ITP090^1 by Duper---1.0
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%------------------------------------------------------------------------------
% File : Duper---1.0
% Problem : ITP090^1 : TPTP v8.1.2. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n027.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 4.84s 5.01s
% Output : Proof 4.84s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : ITP090^1 : TPTP v8.1.2. Released v7.5.0.
% 0.00/0.14 % Command : duper %s
% 0.12/0.35 % Computer : n027.cluster.edu
% 0.12/0.35 % Model : x86_64 x86_64
% 0.12/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.35 % Memory : 8042.1875MB
% 0.12/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.35 % CPULimit : 300
% 0.12/0.35 % WCLimit : 300
% 0.12/0.35 % DateTime : Sun Aug 27 13:26:36 EDT 2023
% 0.12/0.35 % CPUTime :
% 4.84/5.01 SZS status Theorem for theBenchmark.p
% 4.84/5.01 SZS output start Proof for theBenchmark.p
% 4.84/5.01 Clause #0 (by assumption #[]): Eq (Not (knowle945212990e_know q m)) True
% 4.84/5.01 Clause #1 (by assumption #[]): Eq (Eq m (secrecy_kKS key)) True
% 4.84/5.01 Clause #8 (by assumption #[]): Eq
% 4.84/5.01 (∀ (A : secrecy_specID) (M : secrecy_Keys),
% 4.84/5.01 Eq (knowle945212990e_know A (secrecy_kKS M))
% 4.84/5.01 (Or (ine A (secrecy_kE M)) (member_Secrecy_KS (secrecy_kKS M) (localSecrets A))))
% 4.84/5.01 True
% 4.84/5.01 Clause #341 (by assumption #[]): Eq (Not (Not (member_Secrecy_KS (secrecy_kKS key) (localSecrets q)))) True
% 4.84/5.01 Clause #342 (by clausification #[0]): Eq (knowle945212990e_know q m) False
% 4.84/5.01 Clause #343 (by clausification #[1]): Eq m (secrecy_kKS key)
% 4.84/5.01 Clause #392 (by clausification #[8]): ∀ (a : secrecy_specID),
% 4.84/5.01 Eq
% 4.84/5.01 (∀ (M : secrecy_Keys),
% 4.84/5.01 Eq (knowle945212990e_know a (secrecy_kKS M))
% 4.84/5.01 (Or (ine a (secrecy_kE M)) (member_Secrecy_KS (secrecy_kKS M) (localSecrets a))))
% 4.84/5.01 True
% 4.84/5.01 Clause #393 (by clausification #[392]): ∀ (a : secrecy_specID) (a_1 : secrecy_Keys),
% 4.84/5.01 Eq
% 4.84/5.01 (Eq (knowle945212990e_know a (secrecy_kKS a_1))
% 4.84/5.01 (Or (ine a (secrecy_kE a_1)) (member_Secrecy_KS (secrecy_kKS a_1) (localSecrets a))))
% 4.84/5.01 True
% 4.84/5.01 Clause #394 (by clausification #[393]): ∀ (a : secrecy_specID) (a_1 : secrecy_Keys),
% 4.84/5.01 Eq (knowle945212990e_know a (secrecy_kKS a_1))
% 4.84/5.01 (Or (ine a (secrecy_kE a_1)) (member_Secrecy_KS (secrecy_kKS a_1) (localSecrets a)))
% 4.84/5.01 Clause #395 (by identity loobHoist #[394]): ∀ (a : secrecy_specID) (a_1 : secrecy_Keys),
% 4.84/5.01 Or (Eq (knowle945212990e_know a (secrecy_kKS a_1)) (Or (ine a (secrecy_kE a_1)) True))
% 4.84/5.01 (Eq (member_Secrecy_KS (secrecy_kKS a_1) (localSecrets a)) False)
% 4.84/5.01 Clause #397 (by bool simp #[395]): ∀ (a : secrecy_specID) (a_1 : secrecy_Keys),
% 4.84/5.01 Or (Eq (knowle945212990e_know a (secrecy_kKS a_1)) True)
% 4.84/5.01 (Eq (member_Secrecy_KS (secrecy_kKS a_1) (localSecrets a)) False)
% 4.84/5.01 Clause #398 (by superposition #[397, 343]): ∀ (a : secrecy_specID), Or (Eq (knowle945212990e_know a m) True) (Eq (member_Secrecy_KS m (localSecrets a)) False)
% 4.84/5.01 Clause #1069 (by clausification #[341]): Eq (Not (member_Secrecy_KS (secrecy_kKS key) (localSecrets q))) False
% 4.84/5.01 Clause #1070 (by clausification #[1069]): Eq (member_Secrecy_KS (secrecy_kKS key) (localSecrets q)) True
% 4.84/5.01 Clause #1071 (by forward demodulation #[1070, 343]): Eq (member_Secrecy_KS m (localSecrets q)) True
% 4.84/5.01 Clause #1089 (by superposition #[398, 1071]): Or (Eq (knowle945212990e_know q m) True) (Eq True False)
% 4.84/5.01 Clause #1092 (by clausification #[1089]): Eq (knowle945212990e_know q m) True
% 4.84/5.01 Clause #1093 (by superposition #[1092, 342]): Eq True False
% 4.84/5.01 Clause #1113 (by clausification #[1093]): False
% 4.84/5.01 SZS output end Proof for theBenchmark.p
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