%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : SEU538^2 : TPTP v9.2.0. Released v3.7.0. % 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 08:01:51 PM UTC 2025 % Result : Theorem 3.52s 3.73s % Output : Proof 3.52s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU538^2 : TPTP v9.2.0. Released v3.7.0. % 0.12/0.13 % Command : duper %s % 0.13/0.34 % Computer : n024.cluster.edu % 0.13/0.34 % Model : x86_64 x86_64 % 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.34 % Memory : 8042.1875MB % 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.34 % CPULimit : 300 % 0.13/0.34 % WCLimit : 300 % 0.13/0.34 % DateTime : Fri Oct 3 04:28:08 EDT 2025 % 0.13/0.35 % CPUTime : % 3.52/3.73 SZS status Theorem for theBenchmark.p % 3.52/3.73 SZS output start Proof for theBenchmark.p % 3.52/3.73 Clause #0 (by assumption #[]): Eq % 3.52/3.73 (Not % 3.52/3.73 (∀ (A : Iota) (Xphi : Iota → Prop), % 3.52/3.73 Not (Exists fun Xx => And (in Xx A) (Xphi Xx)) → ∀ (Xx : Iota), in Xx A → Not (Xphi Xx))) % 3.52/3.73 True % 3.52/3.73 Clause #1 (by clausification #[0]): Eq % 3.52/3.73 (∀ (A : Iota) (Xphi : Iota → Prop), % 3.52/3.73 Not (Exists fun Xx => And (in Xx A) (Xphi Xx)) → ∀ (Xx : Iota), in Xx A → Not (Xphi Xx)) % 3.52/3.73 False % 3.52/3.73 Clause #2 (by clausification #[1]): ∀ (a : Iota), % 3.52/3.73 Eq % 3.52/3.73 (Not % 3.52/3.73 (∀ (Xphi : Iota → Prop), % 3.52/3.73 Not (Exists fun Xx => And (in Xx (skS.0 0 a)) (Xphi Xx)) → ∀ (Xx : Iota), in Xx (skS.0 0 a) → Not (Xphi Xx))) % 3.52/3.73 True % 3.52/3.73 Clause #3 (by clausification #[2]): ∀ (a : Iota), % 3.52/3.73 Eq % 3.52/3.73 (∀ (Xphi : Iota → Prop), % 3.52/3.73 Not (Exists fun Xx => And (in Xx (skS.0 0 a)) (Xphi Xx)) → ∀ (Xx : Iota), in Xx (skS.0 0 a) → Not (Xphi Xx)) % 3.52/3.73 False % 3.52/3.73 Clause #4 (by clausification #[3]): ∀ (a : Iota) (a_1 : Iota → Prop), % 3.52/3.73 Eq % 3.52/3.73 (Not % 3.52/3.73 (Not (Exists fun Xx => And (in Xx (skS.0 0 a)) (skS.0 1 a a_1 Xx)) → % 3.52/3.73 ∀ (Xx : Iota), in Xx (skS.0 0 a) → Not (skS.0 1 a a_1 Xx))) % 3.52/3.73 True % 3.52/3.73 Clause #5 (by clausification #[4]): ∀ (a : Iota) (a_1 : Iota → Prop), % 3.52/3.73 Eq % 3.52/3.73 (Not (Exists fun Xx => And (in Xx (skS.0 0 a)) (skS.0 1 a a_1 Xx)) → % 3.52/3.73 ∀ (Xx : Iota), in Xx (skS.0 0 a) → Not (skS.0 1 a a_1 Xx)) % 3.52/3.73 False % 3.52/3.73 Clause #6 (by clausification #[5]): ∀ (a : Iota) (a_1 : Iota → Prop), Eq (Not (Exists fun Xx => And (in Xx (skS.0 0 a)) (skS.0 1 a a_1 Xx))) True % 3.52/3.73 Clause #7 (by clausification #[5]): ∀ (a : Iota) (a_1 : Iota → Prop), Eq (∀ (Xx : Iota), in Xx (skS.0 0 a) → Not (skS.0 1 a a_1 Xx)) False % 3.52/3.73 Clause #8 (by clausification #[6]): ∀ (a : Iota) (a_1 : Iota → Prop), Eq (Exists fun Xx => And (in Xx (skS.0 0 a)) (skS.0 1 a a_1 Xx)) False % 3.52/3.73 Clause #9 (by clausification #[8]): ∀ (a a_1 : Iota) (a_2 : Iota → Prop), Eq (And (in a (skS.0 0 a_1)) (skS.0 1 a_1 a_2 a)) False % 3.52/3.73 Clause #10 (by clausification #[9]): ∀ (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) False) % 3.52/3.73 Clause #11 (by clausification #[7]): ∀ (a : Iota) (a_1 : Iota → Prop) (a_2 : Iota), % 3.52/3.73 Eq (Not (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 % 3.52/3.73 Clause #12 (by clausification #[11]): ∀ (a : Iota) (a_1 : Iota → Prop) (a_2 : Iota), % 3.52/3.73 Eq (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))) False % 3.52/3.73 Clause #13 (by clausification #[12]): ∀ (a : Iota) (a_1 : Iota → Prop) (a_2 : Iota), Eq (in (skS.0 2 a a_1 a_2) (skS.0 0 a)) True % 3.52/3.73 Clause #14 (by clausification #[12]): ∀ (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))) False % 3.52/3.73 Clause #15 (by superposition #[13, 10]): ∀ (a : Iota) (a_1 a_2 : Iota → Prop) (a_3 : Iota), Or (Eq True False) (Eq (skS.0 1 a a_1 (skS.0 2 a a_2 a_3)) False) % 3.52/3.73 Clause #16 (by clausification #[14]): ∀ (a : Iota) (a_1 : Iota → Prop) (a_2 : Iota), Eq (skS.0 1 a a_1 (skS.0 2 a a_1 a_2)) True % 3.52/3.73 Clause #17 (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)) False % 3.52/3.73 Clause #18 (by superposition #[17, 16]): Eq False True % 3.52/3.73 Clause #19 (by clausification #[18]): False % 3.52/3.73 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------