%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : DAT177^1 : TPTP v9.2.0. Released v7.0.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n001.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 07:47:15 PM UTC 2025 % Result : Theorem 7.45s 7.62s % Output : Proof 7.45s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.08/0.13 % Problem : DAT177^1 : TPTP v9.2.0. Released v7.0.0. % 0.08/0.15 % Command : duper %s % 0.14/0.36 % Computer : n001.cluster.edu % 0.14/0.36 % Model : x86_64 x86_64 % 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.36 % Memory : 8042.1875MB % 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.36 % CPULimit : 300 % 0.14/0.36 % WCLimit : 300 % 0.14/0.36 % DateTime : Thu Oct 2 21:49:23 EDT 2025 % 0.14/0.37 % CPUTime : % 7.45/7.62 SZS status Theorem for theBenchmark.p % 7.45/7.62 SZS output start Proof for theBenchmark.p % 7.45/7.62 Clause #0 (by assumption #[]): Eq (member (coinductive_llist a) (coinductive_lappend a l sa) (lList21612149805nflsts a a2)) True % 7.45/7.62 Clause #13 (by assumption #[]): Eq (Eq l (coinductive_LNil a)) True % 7.45/7.62 Clause #41 (by assumption #[]): Eq (∀ (A : Type) (Ys : coinductive_llist A), Eq (coinductive_lappend A (coinductive_LNil A) Ys) Ys) True % 7.45/7.62 Clause #269 (by assumption #[]): Eq (Not (member (coinductive_llist a) sa (lList21612149805nflsts a a2))) True % 7.45/7.62 Clause #294 (by clausification #[13]): Eq l (coinductive_LNil a) % 7.45/7.62 Clause #353 (by clausification #[269]): Eq (member (coinductive_llist a) sa (lList21612149805nflsts a a2)) False % 7.45/7.62 Clause #2343 (by clausification #[41]): ∀ (a : Type), Eq (∀ (Ys : coinductive_llist a), Eq (coinductive_lappend a (coinductive_LNil a) Ys) Ys) True % 7.45/7.62 Clause #2344 (by clausification #[2343]): ∀ (a : Type) (a_1 : coinductive_llist a), Eq (Eq (coinductive_lappend a (coinductive_LNil a) a_1) a_1) True % 7.45/7.62 Clause #2345 (by clausification #[2344]): ∀ (a : Type) (a_1 : coinductive_llist a), Eq (coinductive_lappend a (coinductive_LNil a) a_1) a_1 % 7.45/7.62 Clause #2346 (by superposition #[2345, 294]): ∀ (a_1 : coinductive_llist a), Eq (coinductive_lappend a l a_1) a_1 % 7.45/7.62 Clause #2368 (by backward demodulation #[2346, 0]): Eq (member (coinductive_llist a) sa (lList21612149805nflsts a a2)) True % 7.45/7.62 Clause #2403 (by superposition #[2368, 353]): Eq True False % 7.45/7.62 Clause #2429 (by clausification #[2403]): False % 7.45/7.62 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------