%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : SEU501^2 : TPTP v9.2.0. Released v3.7.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n010.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 08:01:45 PM UTC 2025 % Result : Theorem 3.62s 3.82s % Output : Proof 3.62s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : SEU501^2 : TPTP v9.2.0. Released v3.7.0. % 0.03/0.13 % Command : duper %s % 0.12/0.34 % Computer : n010.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 : Fri Oct 3 06:45:23 EDT 2025 % 0.12/0.34 % CPUTime : % 3.62/3.82 SZS status Theorem for theBenchmark.p % 3.62/3.82 SZS output start Proof for theBenchmark.p % 3.62/3.82 Clause #0 (by assumption #[]): Eq (Eq emptysetAx (∀ (Xx : Iota), Not (in Xx emptyset))) True % 3.62/3.82 Clause #1 (by assumption #[]): Eq (Not (emptysetAx → ∀ (Xx : Iota), in Xx emptyset → ∀ (Xphi : Prop), Xphi)) True % 3.62/3.82 Clause #2 (by clausification #[1]): Eq (emptysetAx → ∀ (Xx : Iota), in Xx emptyset → ∀ (Xphi : Prop), Xphi) False % 3.62/3.82 Clause #3 (by clausification #[2]): Eq emptysetAx True % 3.62/3.82 Clause #4 (by clausification #[2]): Eq (∀ (Xx : Iota), in Xx emptyset → ∀ (Xphi : Prop), Xphi) False % 3.62/3.82 Clause #5 (by clausification #[4]): ∀ (a : Iota), Eq (Not (in (skS.0 0 a) emptyset → ∀ (Xphi : Prop), Xphi)) True % 3.62/3.82 Clause #6 (by clausification #[5]): ∀ (a : Iota), Eq (in (skS.0 0 a) emptyset → ∀ (Xphi : Prop), Xphi) False % 3.62/3.82 Clause #7 (by clausification #[6]): ∀ (a : Iota), Eq (in (skS.0 0 a) emptyset) True % 3.62/3.82 Clause #13 (by clausification #[0]): Eq emptysetAx (∀ (Xx : Iota), Not (in Xx emptyset)) % 3.62/3.82 Clause #14 (by forward demodulation #[13, 3]): Eq True (∀ (Xx : Iota), Not (in Xx emptyset)) % 3.62/3.82 Clause #15 (by clausification #[14]): ∀ (a : Iota), Eq (Not (in a emptyset)) True % 3.62/3.82 Clause #16 (by clausification #[15]): ∀ (a : Iota), Eq (in a emptyset) False % 3.62/3.82 Clause #17 (by superposition #[16, 7]): Eq False True % 3.62/3.82 Clause #18 (by clausification #[17]): False % 3.62/3.82 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------