%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : DAT124^1 : TPTP v9.2.0. Released v7.0.0. % 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 07:47:11 PM UTC 2025 % Result : Theorem 7.69s 7.90s % Output : Proof 7.69s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : DAT124^1 : TPTP v9.2.0. Released v7.0.0. % 0.03/0.13 % Command : duper %s % 0.13/0.35 % Computer : n010.cluster.edu % 0.13/0.35 % Model : x86_64 x86_64 % 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.35 % Memory : 8042.1875MB % 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.35 % CPULimit : 300 % 0.13/0.35 % WCLimit : 300 % 0.13/0.35 % DateTime : Thu Oct 2 21:49:38 EDT 2025 % 0.13/0.35 % CPUTime : % 7.69/7.90 SZS status Theorem for theBenchmark.p % 7.69/7.90 SZS output start Proof for theBenchmark.p % 7.69/7.90 Clause #0 (by assumption #[]): Eq (Not (ord_less_eq extended_enat (coindu1018505716length a ys) (coindu1018505716length a xs))) True % 7.69/7.90 Clause #125 (by assumption #[]): Eq (∀ (A : Type), linorder A (type2 A) → ∀ (Y X3 : A), Not (ord_less_eq A Y X3) → ord_less A X3 Y) True % 7.69/7.90 Clause #251 (by assumption #[]): Eq (linorder extended_enat (type2 extended_enat)) True % 7.69/7.90 Clause #254 (by assumption #[]): Eq (Not (ord_less extended_enat (coindu1018505716length a xs) (coindu1018505716length a ys))) True % 7.69/7.90 Clause #255 (by clausification #[0]): Eq (ord_less_eq extended_enat (coindu1018505716length a ys) (coindu1018505716length a xs)) False % 7.69/7.90 Clause #587 (by clausification #[254]): Eq (ord_less extended_enat (coindu1018505716length a xs) (coindu1018505716length a ys)) False % 7.69/7.90 Clause #588 (by clausification #[125]): ∀ (a : Type), Eq (linorder a (type2 a) → ∀ (Y X3 : a), Not (ord_less_eq a Y X3) → ord_less a X3 Y) True % 7.69/7.90 Clause #589 (by clausification #[588]): ∀ (a : Type), Or (Eq (linorder a (type2 a)) False) (Eq (∀ (Y X3 : a), Not (ord_less_eq a Y X3) → ord_less a X3 Y) True) % 7.69/7.90 Clause #590 (by clausification #[589]): ∀ (a : Type) (a_1 : a), % 7.69/7.90 Or (Eq (linorder a (type2 a)) False) (Eq (∀ (X3 : a), Not (ord_less_eq a a_1 X3) → ord_less a X3 a_1) True) % 7.69/7.90 Clause #591 (by clausification #[590]): ∀ (a : Type) (a_1 a_2 : a), % 7.69/7.90 Or (Eq (linorder a (type2 a)) False) (Eq (Not (ord_less_eq a a_1 a_2) → ord_less a a_2 a_1) True) % 7.69/7.90 Clause #592 (by clausification #[591]): ∀ (a : Type) (a_1 a_2 : a), % 7.69/7.90 Or (Eq (linorder a (type2 a)) False) (Or (Eq (Not (ord_less_eq a a_1 a_2)) False) (Eq (ord_less a a_2 a_1) True)) % 7.69/7.90 Clause #593 (by clausification #[592]): ∀ (a : Type) (a_1 a_2 : a), % 7.69/7.90 Or (Eq (linorder a (type2 a)) False) (Or (Eq (ord_less a a_1 a_2) True) (Eq (ord_less_eq a a_2 a_1) True)) % 7.69/7.90 Clause #594 (by superposition #[593, 251]): ∀ (a a_1 : extended_enat), % 7.69/7.90 Or (Eq (ord_less extended_enat a a_1) True) (Or (Eq (ord_less_eq extended_enat a_1 a) True) (Eq False True)) % 7.69/7.90 Clause #1617 (by clausification #[594]): ∀ (a a_1 : extended_enat), Or (Eq (ord_less extended_enat a a_1) True) (Eq (ord_less_eq extended_enat a_1 a) True) % 7.69/7.90 Clause #1618 (by superposition #[1617, 255]): Or (Eq (ord_less extended_enat (coindu1018505716length a xs) (coindu1018505716length a ys)) True) (Eq True False) % 7.69/7.90 Clause #1626 (by clausification #[1618]): Eq (ord_less extended_enat (coindu1018505716length a xs) (coindu1018505716length a ys)) True % 7.69/7.90 Clause #1627 (by superposition #[1626, 587]): Eq True False % 7.69/7.90 Clause #1636 (by clausification #[1627]): False % 7.69/7.90 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------