%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : SWV011+1 : TPTP v9.2.0. Released v2.4.0. % 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 08:04:28 PM UTC 2025 % Result : Theorem 3.76s 3.97s % Output : Proof 3.76s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.11 % Problem : SWV011+1 : TPTP v9.2.0. Released v2.4.0. % 0.07/0.13 % 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 13:26:08 EDT 2025 % 0.13/0.34 % CPUTime : % 3.76/3.97 SZS status Theorem for theBenchmark.p % 3.76/3.97 SZS output start Proof for theBenchmark.p % 3.76/3.97 Clause #10 (by assumption #[]): Eq (b_holds (key (generate_key an_a_nonce) a)) True % 3.76/3.97 Clause #12 (by assumption #[]): Eq (a_holds (key (generate_key an_a_nonce) b)) True % 3.76/3.97 Clause #16 (by assumption #[]): Eq (Not (Exists fun U => And (a_holds (key U b)) (b_holds (key U a)))) True % 3.76/3.97 Clause #17 (by clausification #[16]): Eq (Exists fun U => And (a_holds (key U b)) (b_holds (key U a))) False % 3.76/3.97 Clause #18 (by clausification #[17]): ∀ (a_1 : Iota), Eq (And (a_holds (key a_1 b)) (b_holds (key a_1 a))) False % 3.76/3.97 Clause #19 (by clausification #[18]): ∀ (a_1 : Iota), Or (Eq (a_holds (key a_1 b)) False) (Eq (b_holds (key a_1 a)) False) % 3.76/3.97 Clause #20 (by superposition #[19, 12]): Or (Eq (b_holds (key (generate_key an_a_nonce) a)) False) (Eq False True) % 3.76/3.97 Clause #21 (by clausification #[20]): Eq (b_holds (key (generate_key an_a_nonce) a)) False % 3.76/3.97 Clause #22 (by superposition #[21, 10]): Eq False True % 3.76/3.97 Clause #23 (by clausification #[22]): False % 3.76/3.97 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------