%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : DAT282^1 : TPTP v9.2.0. Released v7.0.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n015.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 07:47:21 PM UTC 2025 % Result : Theorem 3.73s 3.91s % Output : Proof 3.73s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : DAT282^1 : TPTP v9.2.0. Released v7.0.0. % 0.12/0.14 % Command : duper %s % 0.15/0.36 % Computer : n015.cluster.edu % 0.15/0.36 % Model : x86_64 x86_64 % 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.36 % Memory : 8042.1875MB % 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.36 % CPULimit : 300 % 0.15/0.36 % WCLimit : 300 % 0.15/0.36 % DateTime : Thu Oct 2 21:50:53 EDT 2025 % 0.15/0.36 % CPUTime : % 3.73/3.91 SZS status Theorem for theBenchmark.p % 3.73/3.91 SZS output start Proof for theBenchmark.p % 3.73/3.91 Clause #0 (by assumption #[]): Eq % 3.73/3.91 (∀ (A A0 : Type) (A1 : «type/ind_types/list» A0), % 3.73/3.91 Eq («const/lists/ZIP» A A0 («const/ind_types/NIL» A) A1) («const/ind_types/NIL» («type/pair/prod» A A0))) % 3.73/3.91 True % 3.73/3.91 Clause #1 (by assumption #[]): Eq % 3.73/3.91 (Not % 3.73/3.91 (∀ (A A0 : Type), % 3.73/3.91 Eq («const/lists/ZIP» A A0 («const/ind_types/NIL» A) («const/ind_types/NIL» A0)) % 3.73/3.91 («const/ind_types/NIL» («type/pair/prod» A A0)))) % 3.73/3.91 True % 3.73/3.91 Clause #2 (by clausification #[0]): ∀ (a : Type), % 3.73/3.91 Eq % 3.73/3.91 (∀ (A0 : Type) (A1 : «type/ind_types/list» A0), % 3.73/3.91 Eq («const/lists/ZIP» a A0 («const/ind_types/NIL» a) A1) («const/ind_types/NIL» («type/pair/prod» a A0))) % 3.73/3.91 True % 3.73/3.91 Clause #3 (by clausification #[2]): ∀ (a a_1 : Type), % 3.73/3.91 Eq % 3.73/3.91 (∀ (A1 : «type/ind_types/list» a), % 3.73/3.91 Eq («const/lists/ZIP» a_1 a («const/ind_types/NIL» a_1) A1) («const/ind_types/NIL» («type/pair/prod» a_1 a))) % 3.73/3.91 True % 3.73/3.91 Clause #4 (by clausification #[3]): ∀ (a a_1 : Type) (a_2 : «type/ind_types/list» a_1), % 3.73/3.91 Eq (Eq («const/lists/ZIP» a a_1 («const/ind_types/NIL» a) a_2) («const/ind_types/NIL» («type/pair/prod» a a_1))) True % 3.73/3.91 Clause #5 (by clausification #[4]): ∀ (a a_1 : Type) (a_2 : «type/ind_types/list» a_1), % 3.73/3.91 Eq («const/lists/ZIP» a a_1 («const/ind_types/NIL» a) a_2) («const/ind_types/NIL» («type/pair/prod» a a_1)) % 3.73/3.91 Clause #6 (by clausification #[1]): Eq % 3.73/3.91 (∀ (A A0 : Type), % 3.73/3.91 Eq («const/lists/ZIP» A A0 («const/ind_types/NIL» A) («const/ind_types/NIL» A0)) % 3.73/3.91 («const/ind_types/NIL» («type/pair/prod» A A0))) % 3.73/3.91 False % 3.73/3.91 Clause #7 (by clausification #[6]): ∀ (a : Type), % 3.73/3.91 Eq % 3.73/3.91 (Not % 3.73/3.91 (∀ (A0 : Type), % 3.73/3.91 Eq («const/lists/ZIP» (skS.0 0 a) A0 («const/ind_types/NIL» (skS.0 0 a)) («const/ind_types/NIL» A0)) % 3.73/3.91 («const/ind_types/NIL» («type/pair/prod» (skS.0 0 a) A0)))) % 3.73/3.91 True % 3.73/3.91 Clause #8 (by clausification #[7]): ∀ (a : Type), % 3.73/3.91 Eq % 3.73/3.91 (∀ (A0 : Type), % 3.73/3.91 Eq («const/lists/ZIP» (skS.0 0 a) A0 («const/ind_types/NIL» (skS.0 0 a)) («const/ind_types/NIL» A0)) % 3.73/3.91 («const/ind_types/NIL» («type/pair/prod» (skS.0 0 a) A0))) % 3.73/3.91 False % 3.73/3.91 Clause #9 (by clausification #[8]): ∀ (a a_1 : Type), % 3.73/3.91 Eq % 3.73/3.91 (Not % 3.73/3.91 (Eq % 3.73/3.91 («const/lists/ZIP» (skS.0 0 a) (skS.0 1 a a_1) («const/ind_types/NIL» (skS.0 0 a)) % 3.73/3.91 («const/ind_types/NIL» (skS.0 1 a a_1))) % 3.73/3.91 («const/ind_types/NIL» («type/pair/prod» (skS.0 0 a) (skS.0 1 a a_1))))) % 3.73/3.91 True % 3.73/3.91 Clause #10 (by clausification #[9]): ∀ (a a_1 : Type), % 3.73/3.91 Eq % 3.73/3.91 (Eq % 3.73/3.91 («const/lists/ZIP» (skS.0 0 a) (skS.0 1 a a_1) («const/ind_types/NIL» (skS.0 0 a)) % 3.73/3.91 («const/ind_types/NIL» (skS.0 1 a a_1))) % 3.73/3.91 («const/ind_types/NIL» («type/pair/prod» (skS.0 0 a) (skS.0 1 a a_1)))) % 3.73/3.91 False % 3.73/3.91 Clause #11 (by clausification #[10]): ∀ (a a_1 : Type), % 3.73/3.91 Ne % 3.73/3.91 («const/lists/ZIP» (skS.0 0 a) (skS.0 1 a a_1) («const/ind_types/NIL» (skS.0 0 a)) % 3.73/3.91 («const/ind_types/NIL» (skS.0 1 a a_1))) % 3.73/3.91 («const/ind_types/NIL» («type/pair/prod» (skS.0 0 a) (skS.0 1 a a_1))) % 3.73/3.91 Clause #12 (by forward demodulation #[11, 5]): ∀ (a a_1 : Type), % 3.73/3.91 Ne («const/ind_types/NIL» («type/pair/prod» (skS.0 0 a) (skS.0 1 a a_1))) % 3.73/3.91 («const/ind_types/NIL» («type/pair/prod» (skS.0 0 a) (skS.0 1 a a_1))) % 3.73/3.91 Clause #13 (by eliminate resolved literals #[12]): False % 3.73/3.91 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------