%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : DAT132^1 : TPTP v9.2.0. Released v7.0.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n003.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 07:47:12 PM UTC 2025 % Result : Theorem 7.52s 7.70s % Output : Proof 7.52s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.05/0.11 % Problem : DAT132^1 : TPTP v9.2.0. Released v7.0.0. % 0.05/0.12 % Command : duper %s % 0.13/0.33 % Computer : n003.cluster.edu % 0.13/0.33 % Model : x86_64 x86_64 % 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.33 % Memory : 8042.1875MB % 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.33 % CPULimit : 300 % 0.13/0.33 % WCLimit : 300 % 0.13/0.33 % DateTime : Thu Oct 2 21:43:38 EDT 2025 % 0.13/0.33 % CPUTime : % 7.52/7.70 SZS status Theorem for theBenchmark.p % 7.52/7.70 SZS output start Proof for theBenchmark.p % 7.52/7.70 Clause #3 (by assumption #[]): Eq (coindu1213758845finite a ys2) True % 7.52/7.70 Clause #23 (by assumption #[]): Eq % 7.52/7.70 (∀ (A : Type) (Xs : coindu1593790203_llist A), % 7.52/7.70 coindu1213758845finite A Xs → Eq (coindu1079202755ist_of A (coindu1736001939ist_of A Xs)) Xs) % 7.52/7.70 True % 7.52/7.70 Clause #246 (by assumption #[]): Eq (∀ (YS : list a), Eq ys2 (coindu1079202755ist_of a YS) → thesis) True % 7.52/7.70 Clause #247 (by assumption #[]): Eq (Not thesis) True % 7.52/7.70 Clause #248 (by clausification #[247]): Eq thesis False % 7.52/7.70 Clause #249 (by clausification #[246]): ∀ (a_1 : list a), Eq (Eq ys2 (coindu1079202755ist_of a a_1) → thesis) True % 7.52/7.70 Clause #250 (by clausification #[249]): ∀ (a_1 : list a), Or (Eq (Eq ys2 (coindu1079202755ist_of a a_1)) False) (Eq thesis True) % 7.52/7.70 Clause #251 (by clausification #[250]): ∀ (a_1 : list a), Or (Eq thesis True) (Ne ys2 (coindu1079202755ist_of a a_1)) % 7.52/7.70 Clause #252 (by forward demodulation #[251, 248]): ∀ (a_1 : list a), Or (Eq False True) (Ne ys2 (coindu1079202755ist_of a a_1)) % 7.52/7.70 Clause #253 (by clausification #[252]): ∀ (a_1 : list a), Ne ys2 (coindu1079202755ist_of a a_1) % 7.52/7.70 Clause #2926 (by clausification #[23]): ∀ (a : Type), % 7.52/7.70 Eq % 7.52/7.70 (∀ (Xs : coindu1593790203_llist a), % 7.52/7.70 coindu1213758845finite a Xs → Eq (coindu1079202755ist_of a (coindu1736001939ist_of a Xs)) Xs) % 7.52/7.70 True % 7.52/7.70 Clause #2927 (by clausification #[2926]): ∀ (a : Type) (a_1 : coindu1593790203_llist a), % 7.52/7.70 Eq (coindu1213758845finite a a_1 → Eq (coindu1079202755ist_of a (coindu1736001939ist_of a a_1)) a_1) True % 7.52/7.70 Clause #2928 (by clausification #[2927]): ∀ (a : Type) (a_1 : coindu1593790203_llist a), % 7.52/7.70 Or (Eq (coindu1213758845finite a a_1) False) % 7.52/7.70 (Eq (Eq (coindu1079202755ist_of a (coindu1736001939ist_of a a_1)) a_1) True) % 7.52/7.70 Clause #2929 (by clausification #[2928]): ∀ (a : Type) (a_1 : coindu1593790203_llist a), % 7.52/7.70 Or (Eq (coindu1213758845finite a a_1) False) (Eq (coindu1079202755ist_of a (coindu1736001939ist_of a a_1)) a_1) % 7.52/7.70 Clause #2932 (by superposition #[2929, 3]): Or (Eq (coindu1079202755ist_of a (coindu1736001939ist_of a ys2)) ys2) (Eq False True) % 7.52/7.70 Clause #2959 (by clausification #[2932]): Eq (coindu1079202755ist_of a (coindu1736001939ist_of a ys2)) ys2 % 7.52/7.70 Clause #2960 (by forward contextual literal cutting #[2959, 253]): False % 7.52/7.70 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------