%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : SEU503^2 : TPTP v9.2.0. Released v3.7.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n012.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 08:01:46 PM UTC 2025 % Result : Theorem 3.54s 3.69s % Output : Proof 3.54s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.12 % Problem : SEU503^2 : TPTP v9.2.0. Released v3.7.0. % 0.12/0.14 % Command : duper %s % 0.14/0.35 % Computer : n012.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 : Fri Oct 3 06:40:08 EDT 2025 % 0.14/0.35 % CPUTime : % 3.54/3.69 SZS status Theorem for theBenchmark.p % 3.54/3.69 SZS output start Proof for theBenchmark.p % 3.54/3.69 Clause #0 (by assumption #[]): Eq (Eq emptysetE (∀ (Xx : Iota), in Xx emptyset → ∀ (Xphi : Prop), Xphi)) True % 3.54/3.69 Clause #1 (by assumption #[]): Eq (Not (emptysetE → ∀ (Xx : Iota), Not (in Xx emptyset))) True % 3.54/3.69 Clause #2 (by clausification #[1]): Eq (emptysetE → ∀ (Xx : Iota), Not (in Xx emptyset)) False % 3.54/3.69 Clause #3 (by clausification #[2]): Eq emptysetE True % 3.54/3.69 Clause #4 (by clausification #[2]): Eq (∀ (Xx : Iota), Not (in Xx emptyset)) False % 3.54/3.69 Clause #5 (by clausification #[4]): ∀ (a : Iota), Eq (Not (Not (in (skS.0 0 a) emptyset))) True % 3.54/3.69 Clause #6 (by clausification #[5]): ∀ (a : Iota), Eq (Not (in (skS.0 0 a) emptyset)) False % 3.54/3.69 Clause #7 (by clausification #[6]): ∀ (a : Iota), Eq (in (skS.0 0 a) emptyset) True % 3.54/3.69 Clause #8 (by clausification #[0]): Eq emptysetE (∀ (Xx : Iota), in Xx emptyset → ∀ (Xphi : Prop), Xphi) % 3.54/3.69 Clause #9 (by forward demodulation #[8, 3]): Eq True (∀ (Xx : Iota), in Xx emptyset → ∀ (Xphi : Prop), Xphi) % 3.54/3.69 Clause #10 (by clausification #[9]): ∀ (a : Iota), Eq (in a emptyset → ∀ (Xphi : Prop), Xphi) True % 3.54/3.69 Clause #11 (by clausification #[10]): ∀ (a : Iota), Or (Eq (in a emptyset) False) (Eq (∀ (Xphi : Prop), Xphi) True) % 3.54/3.69 Clause #12 (by clausification #[11]): ∀ (a : Iota) (a_1 : Prop), Or (Eq (in a emptyset) False) (Eq a_1 True) % 3.54/3.69 Clause #13 (by superposition #[12, 7]): ∀ (a : Prop), Or (Eq a True) (Eq False True) % 3.54/3.69 Clause #14 (by clausification #[13]): ∀ (a : Prop), Eq a True % 3.54/3.69 Clause #15 (by falseElim #[14]): False % 3.54/3.69 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------