%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : DAT197^1 : TPTP v9.2.0. Released v7.0.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n025.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 07:47:16 PM UTC 2025 % Result : Theorem 4.73s 4.89s % Output : Proof 4.73s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.10/0.12 % Problem : DAT197^1 : TPTP v9.2.0. Released v7.0.0. % 0.10/0.13 % Command : duper %s % 0.13/0.34 % Computer : n025.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 : Thu Oct 2 21:56:08 EDT 2025 % 0.13/0.34 % CPUTime : % 4.73/4.89 SZS status Theorem for theBenchmark.p % 4.73/4.89 SZS output start Proof for theBenchmark.p % 4.73/4.89 Clause #0 (by assumption #[]): Eq (coindu1486289336t_all2 a b p acca acc_a) True % 4.73/4.89 Clause #4 (by assumption #[]): Eq % 4.73/4.89 (∀ (A B : Type) (P : A → B → Prop) (Xs : coinductive_llist A) (Ys : coinductive_llist B), % 4.73/4.89 coindu1486289336t_all2 A B P Xs Ys → Eq (coinductive_llength A Xs) (coinductive_llength B Ys)) % 4.73/4.89 True % 4.73/4.89 Clause #269 (by assumption #[]): Eq (Not (Eq (coinductive_llength a acca) (coinductive_llength b acc_a))) True % 4.73/4.89 Clause #271 (by clausification #[4]): ∀ (a : Type), % 4.73/4.89 Eq % 4.73/4.89 (∀ (B : Type) (P : a → B → Prop) (Xs : coinductive_llist a) (Ys : coinductive_llist B), % 4.73/4.89 coindu1486289336t_all2 a B P Xs Ys → Eq (coinductive_llength a Xs) (coinductive_llength B Ys)) % 4.73/4.89 True % 4.73/4.89 Clause #272 (by clausification #[271]): ∀ (a a_1 : Type), % 4.73/4.89 Eq % 4.73/4.89 (∀ (P : a → a_1 → Prop) (Xs : coinductive_llist a) (Ys : coinductive_llist a_1), % 4.73/4.89 coindu1486289336t_all2 a a_1 P Xs Ys → Eq (coinductive_llength a Xs) (coinductive_llength a_1 Ys)) % 4.73/4.89 True % 4.73/4.89 Clause #273 (by clausification #[272]): ∀ (a a_1 : Type) (a_2 : a → a_1 → Prop), % 4.73/4.89 Eq % 4.73/4.89 (∀ (Xs : coinductive_llist a) (Ys : coinductive_llist a_1), % 4.73/4.89 coindu1486289336t_all2 a a_1 a_2 Xs Ys → Eq (coinductive_llength a Xs) (coinductive_llength a_1 Ys)) % 4.73/4.89 True % 4.73/4.89 Clause #274 (by clausification #[273]): ∀ (a a_1 : Type) (a_2 : a_1 → a → Prop) (a_3 : coinductive_llist a_1), % 4.73/4.89 Eq % 4.73/4.89 (∀ (Ys : coinductive_llist a), % 4.73/4.89 coindu1486289336t_all2 a_1 a a_2 a_3 Ys → Eq (coinductive_llength a_1 a_3) (coinductive_llength a Ys)) % 4.73/4.89 True % 4.73/4.89 Clause #275 (by clausification #[274]): ∀ (a a_1 : Type) (a_2 : a → a_1 → Prop) (a_3 : coinductive_llist a) (a_4 : coinductive_llist a_1), % 4.73/4.89 Eq (coindu1486289336t_all2 a a_1 a_2 a_3 a_4 → Eq (coinductive_llength a a_3) (coinductive_llength a_1 a_4)) True % 4.73/4.89 Clause #276 (by clausification #[275]): ∀ (a a_1 : Type) (a_2 : a → a_1 → Prop) (a_3 : coinductive_llist a) (a_4 : coinductive_llist a_1), % 4.73/4.89 Or (Eq (coindu1486289336t_all2 a a_1 a_2 a_3 a_4) False) % 4.73/4.89 (Eq (Eq (coinductive_llength a a_3) (coinductive_llength a_1 a_4)) True) % 4.73/4.89 Clause #277 (by clausification #[276]): ∀ (a a_1 : Type) (a_2 : a → a_1 → Prop) (a_3 : coinductive_llist a) (a_4 : coinductive_llist a_1), % 4.73/4.89 Or (Eq (coindu1486289336t_all2 a a_1 a_2 a_3 a_4) False) % 4.73/4.89 (Eq (coinductive_llength a a_3) (coinductive_llength a_1 a_4)) % 4.73/4.89 Clause #278 (by superposition #[277, 0]): Or (Eq (coinductive_llength a acca) (coinductive_llength b acc_a)) (Eq False True) % 4.73/4.89 Clause #291 (by clausification #[278]): Eq (coinductive_llength a acca) (coinductive_llength b acc_a) % 4.73/4.89 Clause #1026 (by clausification #[269]): Eq (Eq (coinductive_llength a acca) (coinductive_llength b acc_a)) False % 4.73/4.89 Clause #1027 (by clausification #[1026]): Ne (coinductive_llength a acca) (coinductive_llength b acc_a) % 4.73/4.89 Clause #1028 (by forward demodulation #[1027, 291]): Ne (coinductive_llength a acca) (coinductive_llength a acca) % 4.73/4.89 Clause #1029 (by eliminate resolved literals #[1028]): False % 4.73/4.89 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------