%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : SWX206+1 : TPTP v9.3.0. Released v9.3.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n016.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 : Tue May 5 06:59:10 PM UTC 2026 % Result : Theorem 3.45s 3.65s % Output : Proof 3.45s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWX206+1 : TPTP v9.3.0. Released v9.3.0. % 0.12/0.13 % Command : duper %s % 0.16/0.34 % Computer : n016.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue May 5 11:34:06 EDT 2026 % 0.16/0.34 % CPUTime : % 3.45/3.65 SZS status Theorem for theBenchmark.p % 3.45/3.65 SZS output start Proof for theBenchmark.p % 3.45/3.65 Clause #2 (by assumption #[]): Eq (∀ (Y : Iota), Eq (x2 z Y) Y) True % 3.45/3.65 Clause #4 (by assumption #[]): Eq (Not (Exists fun X => Eq (x2 X X) X)) True % 3.45/3.65 Clause #7 (by clausification #[2]): ∀ (a : Iota), Eq (Eq (x2 z a) a) True % 3.45/3.65 Clause #8 (by clausification #[7]): ∀ (a : Iota), Eq (x2 z a) a % 3.45/3.65 Clause #11 (by clausification #[4]): Eq (Exists fun X => Eq (x2 X X) X) False % 3.45/3.65 Clause #12 (by clausification #[11]): ∀ (a : Iota), Eq (Eq (x2 a a) a) False % 3.45/3.65 Clause #13 (by clausification #[12]): ∀ (a : Iota), Ne (x2 a a) a % 3.45/3.65 Clause #14 (by superposition #[13, 8]): Ne z z % 3.45/3.65 Clause #15 (by eliminate resolved literals #[14]): False % 3.45/3.65 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------