%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : SEU539^2 : TPTP v9.2.0. Released v3.7.0. % 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 08:01:52 PM UTC 2025 % Result : Theorem 3.58s 3.76s % Output : Proof 3.58s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.04/0.13 % Problem : SEU539^2 : TPTP v9.2.0. Released v3.7.0. % 0.04/0.14 % Command : duper %s % 0.15/0.35 % Computer : n008.cluster.edu % 0.15/0.35 % Model : x86_64 x86_64 % 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.35 % Memory : 8042.1875MB % 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.35 % CPULimit : 300 % 0.15/0.35 % WCLimit : 300 % 0.15/0.35 % DateTime : Fri Oct 3 06:28:23 EDT 2025 % 0.15/0.35 % CPUTime : % 3.58/3.76 SZS status Theorem for theBenchmark.p % 3.58/3.76 SZS output start Proof for theBenchmark.p % 3.58/3.76 Clause #0 (by assumption #[]): Eq % 3.58/3.76 (Not % 3.58/3.76 (∀ (A : Iota) (Xphi : Iota → Prop), % 3.58/3.76 (Exists fun Xx => And (in Xx A) (Not (Xphi Xx))) → Not (∀ (Xx : Iota), in Xx A → Xphi Xx))) % 3.58/3.76 True % 3.58/3.76 Clause #1 (by clausification #[0]): Eq % 3.58/3.76 (∀ (A : Iota) (Xphi : Iota → Prop), % 3.58/3.76 (Exists fun Xx => And (in Xx A) (Not (Xphi Xx))) → Not (∀ (Xx : Iota), in Xx A → Xphi Xx)) % 3.58/3.76 False % 3.58/3.76 Clause #2 (by clausification #[1]): ∀ (a : Iota), % 3.58/3.76 Eq % 3.58/3.76 (Not % 3.58/3.76 (∀ (Xphi : Iota → Prop), % 3.58/3.76 (Exists fun Xx => And (in Xx (skS.0 0 a)) (Not (Xphi Xx))) → Not (∀ (Xx : Iota), in Xx (skS.0 0 a) → Xphi Xx))) % 3.58/3.76 True % 3.58/3.76 Clause #3 (by clausification #[2]): ∀ (a : Iota), % 3.58/3.76 Eq % 3.58/3.76 (∀ (Xphi : Iota → Prop), % 3.58/3.76 (Exists fun Xx => And (in Xx (skS.0 0 a)) (Not (Xphi Xx))) → Not (∀ (Xx : Iota), in Xx (skS.0 0 a) → Xphi Xx)) % 3.58/3.76 False % 3.58/3.76 Clause #4 (by clausification #[3]): ∀ (a : Iota) (a_1 : Iota → Prop), % 3.58/3.76 Eq % 3.58/3.76 (Not % 3.58/3.76 ((Exists fun Xx => And (in Xx (skS.0 0 a)) (Not (skS.0 1 a a_1 Xx))) → % 3.58/3.76 Not (∀ (Xx : Iota), in Xx (skS.0 0 a) → skS.0 1 a a_1 Xx))) % 3.58/3.76 True % 3.58/3.76 Clause #5 (by clausification #[4]): ∀ (a : Iota) (a_1 : Iota → Prop), % 3.58/3.76 Eq % 3.58/3.76 ((Exists fun Xx => And (in Xx (skS.0 0 a)) (Not (skS.0 1 a a_1 Xx))) → % 3.58/3.76 Not (∀ (Xx : Iota), in Xx (skS.0 0 a) → skS.0 1 a a_1 Xx)) % 3.58/3.76 False % 3.58/3.76 Clause #6 (by clausification #[5]): ∀ (a : Iota) (a_1 : Iota → Prop), Eq (Exists fun Xx => And (in Xx (skS.0 0 a)) (Not (skS.0 1 a a_1 Xx))) True % 3.58/3.76 Clause #7 (by clausification #[5]): ∀ (a : Iota) (a_1 : Iota → Prop), Eq (Not (∀ (Xx : Iota), in Xx (skS.0 0 a) → skS.0 1 a a_1 Xx)) False % 3.58/3.76 Clause #8 (by clausification #[6]): ∀ (a : Iota) (a_1 : Iota → Prop) (a_2 : Iota), % 3.58/3.76 Eq (And (in (skS.0 2 a a_1 a_2) (skS.0 0 a)) (Not (skS.0 1 a a_1 (skS.0 2 a a_1 a_2)))) True % 3.58/3.76 Clause #9 (by clausification #[8]): ∀ (a : Iota) (a_1 : Iota → Prop) (a_2 : Iota), Eq (Not (skS.0 1 a a_1 (skS.0 2 a a_1 a_2))) True % 3.58/3.76 Clause #10 (by clausification #[8]): ∀ (a : Iota) (a_1 : Iota → Prop) (a_2 : Iota), Eq (in (skS.0 2 a a_1 a_2) (skS.0 0 a)) True % 3.58/3.76 Clause #11 (by clausification #[9]): ∀ (a : Iota) (a_1 : Iota → Prop) (a_2 : Iota), Eq (skS.0 1 a a_1 (skS.0 2 a a_1 a_2)) False % 3.58/3.76 Clause #12 (by clausification #[7]): ∀ (a : Iota) (a_1 : Iota → Prop), Eq (∀ (Xx : Iota), in Xx (skS.0 0 a) → skS.0 1 a a_1 Xx) True % 3.58/3.76 Clause #13 (by clausification #[12]): ∀ (a a_1 : Iota) (a_2 : Iota → Prop), Eq (in a (skS.0 0 a_1) → skS.0 1 a_1 a_2 a) True % 3.58/3.76 Clause #14 (by clausification #[13]): ∀ (a a_1 : Iota) (a_2 : Iota → Prop), Or (Eq (in a (skS.0 0 a_1)) False) (Eq (skS.0 1 a_1 a_2 a) True) % 3.58/3.76 Clause #15 (by superposition #[10, 14]): ∀ (a : Iota) (a_1 a_2 : Iota → Prop) (a_3 : Iota), Or (Eq (skS.0 1 a a_1 (skS.0 2 a a_2 a_3)) True) (Eq False True) % 3.58/3.76 Clause #16 (by clausification #[15]): ∀ (a : Iota) (a_1 a_2 : Iota → Prop) (a_3 : Iota), Eq (skS.0 1 a a_1 (skS.0 2 a a_2 a_3)) True % 3.58/3.76 Clause #17 (by superposition #[16, 11]): Eq True False % 3.58/3.76 Clause #18 (by clausification #[17]): False % 3.58/3.76 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------