%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : SWW469+5 : TPTP v9.2.0. Released v5.3.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n024.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 08:06:12 PM UTC 2025 % Result : Theorem 41.31s 41.51s % Output : Proof 41.31s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : SWW469+5 : TPTP v9.2.0. Released v5.3.0. % 0.03/0.13 % Command : duper %s % 0.12/0.34 % Computer : n024.cluster.edu % 0.12/0.34 % Model : x86_64 x86_64 % 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.34 % Memory : 8042.1875MB % 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.34 % CPULimit : 300 % 0.12/0.34 % WCLimit : 300 % 0.12/0.34 % DateTime : Thu Oct 2 10:39:53 EDT 2025 % 0.12/0.34 % CPUTime : % 41.31/41.51 SZS status Theorem for theBenchmark.p % 41.31/41.51 SZS output start Proof for theBenchmark.p % 41.31/41.51 Clause #4 (by assumption #[]): Eq (∀ (X_a : Iota), Eq (ti X_a (undefined X_a)) (undefined X_a)) True % 41.31/41.51 Clause #17 (by assumption #[]): Eq (Iff (hBOOL hoare_1883395792gleton) (Exists fun S => Exists fun T => Ne (ti state S) (ti state T))) True % 41.31/41.51 Clause #60 (by assumption #[]): Eq (hBOOL hoare_1883395792gleton) True % 41.31/41.51 Clause #61 (by assumption #[]): Eq (Not (∀ (T : Iota), Not (∀ (S : Iota), Eq (ti state S) (ti state T)))) True % 41.31/41.51 Clause #98 (by clausification #[4]): ∀ (a : Iota), Eq (Eq (ti a (undefined a)) (undefined a)) True % 41.31/41.51 Clause #99 (by clausification #[98]): ∀ (a : Iota), Eq (ti a (undefined a)) (undefined a) % 41.31/41.51 Clause #340 (by clausification #[17]): Or (Eq (hBOOL hoare_1883395792gleton) False) (Eq (Exists fun S => Exists fun T => Ne (ti state S) (ti state T)) True) % 41.31/41.51 Clause #2275 (by clausification #[61]): Eq (∀ (T : Iota), Not (∀ (S : Iota), Eq (ti state S) (ti state T))) False % 41.31/41.51 Clause #2276 (by clausification #[2275]): ∀ (a : Iota), Eq (Not (Not (∀ (S : Iota), Eq (ti state S) (ti state (skS.0 9 a))))) True % 41.31/41.51 Clause #2277 (by clausification #[2276]): ∀ (a : Iota), Eq (Not (∀ (S : Iota), Eq (ti state S) (ti state (skS.0 9 a)))) False % 41.31/41.51 Clause #2278 (by clausification #[2277]): ∀ (a : Iota), Eq (∀ (S : Iota), Eq (ti state S) (ti state (skS.0 9 a))) True % 41.31/41.51 Clause #2279 (by clausification #[2278]): ∀ (a a_1 : Iota), Eq (Eq (ti state a) (ti state (skS.0 9 a_1))) True % 41.31/41.51 Clause #2280 (by clausification #[2279]): ∀ (a a_1 : Iota), Eq (ti state a) (ti state (skS.0 9 a_1)) % 41.31/41.51 Clause #2290 (by superposition #[2280, 2280]): ∀ (a a_1 : Iota), Eq (ti state a) (ti state a_1) % 41.31/41.51 Clause #2297 (by superposition #[2290, 99]): ∀ (a : Iota), Eq (ti state a) (undefined state) % 41.31/41.51 Clause #2304 (by backward demodulation #[2297, 2290]): ∀ (a : Iota), Eq (undefined state) (ti state a) % 41.31/41.51 Clause #13968 (by clausification #[340]): ∀ (a : Iota), % 41.31/41.51 Or (Eq (hBOOL hoare_1883395792gleton) False) (Eq (Exists fun T => Ne (ti state (skS.0 10 a)) (ti state T)) True) % 41.31/41.51 Clause #13969 (by clausification #[13968]): ∀ (a a_1 : Iota), % 41.31/41.51 Or (Eq (hBOOL hoare_1883395792gleton) False) (Eq (Ne (ti state (skS.0 10 a)) (ti state (skS.0 11 a a_1))) True) % 41.31/41.51 Clause #13970 (by clausification #[13969]): ∀ (a a_1 : Iota), Or (Eq (hBOOL hoare_1883395792gleton) False) (Ne (ti state (skS.0 10 a)) (ti state (skS.0 11 a a_1))) % 41.31/41.51 Clause #13971 (by forward demodulation #[13970, 60]): ∀ (a a_1 : Iota), Or (Eq True False) (Ne (ti state (skS.0 10 a)) (ti state (skS.0 11 a a_1))) % 41.31/41.51 Clause #13972 (by clausification #[13971]): ∀ (a a_1 : Iota), Ne (ti state (skS.0 10 a)) (ti state (skS.0 11 a a_1)) % 41.31/41.51 Clause #13973 (by forward demodulation #[13972, 2304]): ∀ (a a_1 : Iota), Ne (undefined state) (ti state (skS.0 11 a a_1)) % 41.31/41.51 Clause #13974 (by forward demodulation #[13973, 2304]): Ne (undefined state) (undefined state) % 41.31/41.51 Clause #13975 (by eliminate resolved literals #[13974]): False % 41.31/41.51 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------