%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : ITP084^1 : TPTP v9.2.0. Released v7.5.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n004.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 07:51:11 PM UTC 2025 % Result : Theorem 13.92s 14.09s % Output : Proof 13.92s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ITP084^1 : TPTP v9.2.0. Released v7.5.0. % 0.12/0.13 % Command : duper %s % 0.13/0.34 % Computer : n004.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 23:34:38 EDT 2025 % 0.13/0.35 % CPUTime : % 13.92/14.09 SZS status Theorem for theBenchmark.p % 13.92/14.09 SZS output start Proof for theBenchmark.p % 13.92/14.09 Clause #0 (by assumption #[]): Eq (knowle731562421_knows a (cons_S112077679ession (secrecy_kE m) nil_Se901661471ession)) True % 13.92/14.09 Clause #7 (by assumption #[]): Eq % 13.92/14.09 (∀ (C : secrecy_specID) (M1 : secrecy_Keys), % 13.92/14.09 Eq (knowle731562421_knows C (cons_S112077679ession (secrec1016742679ession (secrecy_kKS M1)) nil_Se901661471ession)) % 13.92/14.09 (knowle945212990e_know C (secrecy_kKS M1))) % 13.92/14.09 True % 13.92/14.09 Clause #13 (by assumption #[]): Eq (∀ (M : secrecy_Keys), Eq (secrec1016742679ession (secrecy_kKS M)) (secrecy_kE M)) True % 13.92/14.09 Clause #342 (by assumption #[]): Eq (Not (knowle945212990e_know a (secrecy_kKS m))) True % 13.92/14.09 Clause #346 (by clausification #[342]): Eq (knowle945212990e_know a (secrecy_kKS m)) False % 13.92/14.09 Clause #590 (by clausification #[7]): ∀ (a : secrecy_specID), % 13.92/14.09 Eq % 13.92/14.09 (∀ (M1 : secrecy_Keys), % 13.92/14.09 Eq % 13.92/14.09 (knowle731562421_knows a % 13.92/14.09 (cons_S112077679ession (secrec1016742679ession (secrecy_kKS M1)) nil_Se901661471ession)) % 13.92/14.09 (knowle945212990e_know a (secrecy_kKS M1))) % 13.92/14.09 True % 13.92/14.09 Clause #591 (by clausification #[590]): ∀ (a : secrecy_specID) (a_1 : secrecy_Keys), % 13.92/14.09 Eq % 13.92/14.09 (Eq % 13.92/14.09 (knowle731562421_knows a (cons_S112077679ession (secrec1016742679ession (secrecy_kKS a_1)) nil_Se901661471ession)) % 13.92/14.09 (knowle945212990e_know a (secrecy_kKS a_1))) % 13.92/14.09 True % 13.92/14.09 Clause #592 (by clausification #[591]): ∀ (a : secrecy_specID) (a_1 : secrecy_Keys), % 13.92/14.09 Eq (knowle731562421_knows a (cons_S112077679ession (secrec1016742679ession (secrecy_kKS a_1)) nil_Se901661471ession)) % 13.92/14.09 (knowle945212990e_know a (secrecy_kKS a_1)) % 13.92/14.09 Clause #1408 (by clausification #[13]): ∀ (a : secrecy_Keys), Eq (Eq (secrec1016742679ession (secrecy_kKS a)) (secrecy_kE a)) True % 13.92/14.09 Clause #1409 (by clausification #[1408]): ∀ (a : secrecy_Keys), Eq (secrec1016742679ession (secrecy_kKS a)) (secrecy_kE a) % 13.92/14.09 Clause #1410 (by backward demodulation #[1409, 592]): ∀ (a : secrecy_specID) (a_1 : secrecy_Keys), % 13.92/14.09 Eq (knowle731562421_knows a (cons_S112077679ession (secrecy_kE a_1) nil_Se901661471ession)) % 13.92/14.09 (knowle945212990e_know a (secrecy_kKS a_1)) % 13.92/14.09 Clause #5128 (by superposition #[1410, 0]): Eq (knowle945212990e_know a (secrecy_kKS m)) True % 13.92/14.09 Clause #5167 (by superposition #[5128, 346]): Eq True False % 13.92/14.09 Clause #5187 (by clausification #[5167]): False % 13.92/14.09 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------