%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : LCL807_5 : TPTP v9.3.1. Released v6.0.0. % 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 : 8046.5625MB % OS : Linux 6.8.0-71-generic % CPULimit : 300s % WCLimit : 300s % DateTime : Mon Sep 7 11:36:42 AM UTC 2026 % Result : Theorem 9.06s 9.33s % Output : Proof 9.06s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.02 % Problem : LCL807_5 : TPTP v9.3.1. Released v6.0.0. % 0.00/0.04 % Command : duper %s % 0.07/0.35 % Computer : n003.cluster.edu % 0.07/0.35 % Model : x86_64 x86_64 % 0.07/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.07/0.35 % Memory : 8046.5625MB % 0.07/0.35 % OS : Linux 6.8.0-71-generic % 0.07/0.35 % CPULimit : 300 % 0.07/0.35 % WCLimit : 300 % 0.07/0.35 % DateTime : Sat Sep 5 02:35:50 UTC 2026 % 0.07/0.35 % CPUTime : % 9.06/9.33 SZS status Theorem for theBenchmark.p % 9.06/9.33 SZS output start Proof for theBenchmark.p % 9.06/9.33 Clause #2 (by assumption #[]): Eq % 9.06/9.33 (And % 9.06/9.33 (∀ (E1 : fun nat type) (T3 : type) (U3 : dB) (I1 : nat), % 9.06/9.33 pp % 9.06/9.33 (aa type bool % 9.06/9.33 (aa dB (fun type bool) % 9.06/9.33 (aa (fun nat type) (fun dB (fun type bool)) typing % 9.06/9.33 (aa type (fun nat type) % 9.06/9.33 (aa nat (fun type (fun nat type)) % 9.06/9.33 (aa (fun nat type) (fun nat (fun type (fun nat type))) (shift type) E1) I1) % 9.06/9.33 t)) % 9.06/9.33 b) % 9.06/9.33 T3) → % 9.06/9.33 pp (aa dB bool it U3) → % 9.06/9.33 pp (aa type bool (aa dB (fun type bool) (aa (fun nat type) (fun dB (fun type bool)) typing E1) U3) t) → % 9.06/9.33 pp (aa dB bool it (aa nat dB (aa dB (fun nat dB) (aa dB (fun dB (fun nat dB)) subst b) U3) I1))) % 9.06/9.33 (Exists fun X11 => % 9.06/9.33 pp % 9.06/9.33 (aa type bool % 9.06/9.33 (aa dB (fun type bool) % 9.06/9.33 (aa (fun nat type) (fun dB (fun type bool)) typing % 9.06/9.33 (aa type (fun nat type) % 9.06/9.33 (aa nat (fun type (fun nat type)) (aa (fun nat type) (fun nat (fun type (fun nat type))) (shift type) e) % 9.06/9.33 i) % 9.06/9.33 t)) % 9.06/9.33 b) % 9.06/9.33 X11))) % 9.06/9.33 True % 9.06/9.33 Clause #117 (by assumption #[]): Eq % 9.06/9.33 (∀ (U : type), % 9.06/9.33 pp % 9.06/9.33 (aa type bool % 9.06/9.33 (aa dB (fun type bool) % 9.06/9.33 (aa (fun nat type) (fun dB (fun type bool)) typing % 9.06/9.33 (aa type (fun nat type) % 9.06/9.33 (aa nat (fun type (fun nat type)) (aa (fun nat type) (fun nat (fun type (fun nat type))) (shift type) e) % 9.06/9.33 i) % 9.06/9.33 t)) % 9.06/9.33 b) % 9.06/9.33 U) → % 9.06/9.33 thesis) % 9.06/9.33 True % 9.06/9.33 Clause #118 (by assumption #[]): Eq (Not thesis) True % 9.06/9.33 Clause #119 (by clausification #[118]): Eq thesis False % 9.06/9.33 Clause #121 (by clausification #[117]): ∀ (a : type), % 9.06/9.33 Eq % 9.06/9.33 (pp % 9.06/9.33 (aa type bool % 9.06/9.33 (aa dB (fun type bool) % 9.06/9.33 (aa (fun nat type) (fun dB (fun type bool)) typing % 9.06/9.33 (aa type (fun nat type) % 9.06/9.33 (aa nat (fun type (fun nat type)) (aa (fun nat type) (fun nat (fun type (fun nat type))) (shift type) e) % 9.06/9.33 i) % 9.06/9.33 t)) % 9.06/9.33 b) % 9.06/9.33 a) → % 9.06/9.33 thesis) % 9.06/9.33 True % 9.06/9.33 Clause #122 (by clausification #[121]): ∀ (a : type), % 9.06/9.33 Or % 9.06/9.33 (Eq % 9.06/9.33 (pp % 9.06/9.33 (aa type bool % 9.06/9.33 (aa dB (fun type bool) % 9.06/9.33 (aa (fun nat type) (fun dB (fun type bool)) typing % 9.06/9.33 (aa type (fun nat type) % 9.06/9.33 (aa nat (fun type (fun nat type)) (aa (fun nat type) (fun nat (fun type (fun nat type))) (shift type) e) % 9.06/9.33 i) % 9.06/9.33 t)) % 9.06/9.33 b) % 9.06/9.33 a)) % 9.06/9.33 False) % 9.06/9.33 (Eq thesis True) % 9.06/9.33 Clause #123 (by forward demodulation #[122, 119]): ∀ (a : type), % 9.06/9.33 Or % 9.06/9.33 (Eq % 9.06/9.33 (pp % 9.06/9.33 (aa type bool % 9.06/9.33 (aa dB (fun type bool) % 9.06/9.33 (aa (fun nat type) (fun dB (fun type bool)) typing % 9.06/9.33 (aa type (fun nat type) % 9.06/9.33 (aa nat (fun type (fun nat type)) (aa (fun nat type) (fun nat (fun type (fun nat type))) (shift type) e) % 9.06/9.33 i) % 9.06/9.33 t)) % 9.06/9.33 b) % 9.06/9.33 a)) % 9.06/9.33 False) % 9.06/9.33 (Eq False True) % 9.06/9.33 Clause #124 (by clausification #[123]): ∀ (a : type), % 9.06/9.33 Eq % 9.06/9.33 (pp % 9.06/9.33 (aa type bool % 9.06/9.33 (aa dB (fun type bool) % 9.06/9.33 (aa (fun nat type) (fun dB (fun type bool)) typing % 9.06/9.33 (aa type (fun nat type) % 9.06/9.33 (aa nat (fun type (fun nat type)) (aa (fun nat type) (fun nat (fun type (fun nat type))) (shift type) e) % 9.06/9.33 i) % 9.06/9.33 t)) % 9.06/9.33 b) % 9.06/9.33 a)) % 9.06/9.33 False % 9.06/9.33 Clause #127 (by clausification #[2]): Eq % 9.06/9.33 (Exists fun X11 => % 9.06/9.33 pp % 9.06/9.33 (aa type bool % 9.06/9.33 (aa dB (fun type bool) % 9.06/9.33 (aa (fun nat type) (fun dB (fun type bool)) typing % 9.06/9.33 (aa type (fun nat type) % 9.06/9.33 (aa nat (fun type (fun nat type)) (aa (fun nat type) (fun nat (fun type (fun nat type))) (shift type) e) % 9.06/9.33 i) % 9.06/9.33 t)) % 9.06/9.33 b) % 9.06/9.33 X11)) % 9.06/9.33 True % 9.06/9.33 Clause #128 (by clausification #[127]): ∀ (a : type), % 9.06/9.33 Eq % 9.06/9.33 (pp % 9.06/9.33 (aa type bool % 9.06/9.33 (aa dB (fun type bool) % 9.06/9.33 (aa (fun nat type) (fun dB (fun type bool)) typing % 9.06/9.33 (aa type (fun nat type) % 9.06/9.33 (aa nat (fun type (fun nat type)) (aa (fun nat type) (fun nat (fun type (fun nat type))) (shift type) e) % 9.06/9.33 i) % 9.06/9.33 t)) % 9.06/9.33 b) % 9.06/9.33 (skS.0 0 a))) % 9.06/9.33 True % 9.06/9.33 Clause #129 (by superposition #[128, 124]): Eq True False % 9.06/9.33 Clause #130 (by clausification #[129]): False % 9.06/9.33 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------