%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : SET629^5 : TPTP v9.2.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n008.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 08:00:18 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 % 0.11/0.12 % Problem : SET629^5 : TPTP v9.2.0. Released v4.0.0. % 0.11/0.14 % Command : duper %s % 0.14/0.35 % Computer : n008.cluster.edu % 0.14/0.35 % Model : x86_64 x86_64 % 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.35 % Memory : 8042.1875MB % 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.35 % CPULimit : 300 % 0.14/0.35 % WCLimit : 300 % 0.14/0.35 % DateTime : Thu Oct 2 13:44:53 EDT 2025 % 0.14/0.35 % 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 #0 (by assumption #[]): Eq (Not (∀ (X Y : a → Prop), Not (Exists fun Xx => And (And (And (X Xx) (Y Xx)) (X Xx)) (Not (Y Xx))))) True % 3.76/3.97 Clause #1 (by clausification #[0]): Eq (∀ (X Y : a → Prop), Not (Exists fun Xx => And (And (And (X Xx) (Y Xx)) (X Xx)) (Not (Y Xx)))) False % 3.76/3.97 Clause #2 (by clausification #[1]): ∀ (a_1 : a → Prop), % 3.76/3.97 Eq % 3.76/3.97 (Not % 3.76/3.97 (∀ (Y : a → Prop), Not (Exists fun Xx => And (And (And (skS.0 0 a_1 Xx) (Y Xx)) (skS.0 0 a_1 Xx)) (Not (Y Xx))))) % 3.76/3.97 True % 3.76/3.97 Clause #3 (by clausification #[2]): ∀ (a_1 : a → Prop), % 3.76/3.97 Eq (∀ (Y : a → Prop), Not (Exists fun Xx => And (And (And (skS.0 0 a_1 Xx) (Y Xx)) (skS.0 0 a_1 Xx)) (Not (Y Xx)))) % 3.76/3.97 False % 3.76/3.97 Clause #4 (by clausification #[3]): ∀ (a_1 a_2 : a → Prop), % 3.76/3.97 Eq % 3.76/3.97 (Not % 3.76/3.97 (Not % 3.76/3.97 (Exists fun Xx => % 3.76/3.97 And (And (And (skS.0 0 a_1 Xx) (skS.0 1 a_1 a_2 Xx)) (skS.0 0 a_1 Xx)) (Not (skS.0 1 a_1 a_2 Xx))))) % 3.76/3.97 True % 3.76/3.97 Clause #5 (by clausification #[4]): ∀ (a_1 a_2 : a → Prop), % 3.76/3.97 Eq % 3.76/3.97 (Not % 3.76/3.97 (Exists fun Xx => % 3.76/3.97 And (And (And (skS.0 0 a_1 Xx) (skS.0 1 a_1 a_2 Xx)) (skS.0 0 a_1 Xx)) (Not (skS.0 1 a_1 a_2 Xx)))) % 3.76/3.97 False % 3.76/3.97 Clause #6 (by clausification #[5]): ∀ (a_1 a_2 : a → Prop), % 3.76/3.97 Eq % 3.76/3.97 (Exists fun Xx => And (And (And (skS.0 0 a_1 Xx) (skS.0 1 a_1 a_2 Xx)) (skS.0 0 a_1 Xx)) (Not (skS.0 1 a_1 a_2 Xx))) % 3.76/3.97 True % 3.76/3.97 Clause #7 (by clausification #[6]): ∀ (a_1 a_2 : a → Prop) (a_3 : a), % 3.76/3.97 Eq % 3.76/3.97 (And % 3.76/3.97 (And (And (skS.0 0 a_1 (skS.0 2 a_1 a_2 a_3)) (skS.0 1 a_1 a_2 (skS.0 2 a_1 a_2 a_3))) % 3.76/3.97 (skS.0 0 a_1 (skS.0 2 a_1 a_2 a_3))) % 3.76/3.97 (Not (skS.0 1 a_1 a_2 (skS.0 2 a_1 a_2 a_3)))) % 3.76/3.97 True % 3.76/3.97 Clause #8 (by clausification #[7]): ∀ (a_1 a_2 : a → Prop) (a_3 : a), Eq (Not (skS.0 1 a_1 a_2 (skS.0 2 a_1 a_2 a_3))) True % 3.76/3.97 Clause #9 (by clausification #[7]): ∀ (a_1 a_2 : a → Prop) (a_3 : a), % 3.76/3.97 Eq % 3.76/3.97 (And (And (skS.0 0 a_1 (skS.0 2 a_1 a_2 a_3)) (skS.0 1 a_1 a_2 (skS.0 2 a_1 a_2 a_3))) % 3.76/3.97 (skS.0 0 a_1 (skS.0 2 a_1 a_2 a_3))) % 3.76/3.97 True % 3.76/3.97 Clause #10 (by clausification #[8]): ∀ (a_1 a_2 : a → Prop) (a_3 : a), Eq (skS.0 1 a_1 a_2 (skS.0 2 a_1 a_2 a_3)) False % 3.76/3.97 Clause #12 (by clausification #[9]): ∀ (a_1 a_2 : a → Prop) (a_3 : a), % 3.76/3.97 Eq (And (skS.0 0 a_1 (skS.0 2 a_1 a_2 a_3)) (skS.0 1 a_1 a_2 (skS.0 2 a_1 a_2 a_3))) True % 3.76/3.97 Clause #13 (by clausification #[12]): ∀ (a_1 a_2 : a → Prop) (a_3 : a), Eq (skS.0 1 a_1 a_2 (skS.0 2 a_1 a_2 a_3)) True % 3.76/3.97 Clause #14 (by superposition #[13, 10]): Eq True False % 3.76/3.97 Clause #15 (by clausification #[14]): False % 3.76/3.97 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------