%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : LCL784_5 : TPTP v9.3.1. Released v6.0.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n016.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 11:36:38 AM UTC 2026 % Result : Theorem 17.56s 17.85s % Output : Proof 17.56s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : LCL784_5 : TPTP v9.3.1. Released v6.0.0. % 0.00/0.05 % Command : duper %s % 0.12/0.38 % Computer : n016.cluster.edu % 0.12/0.38 % Model : x86_64 x86_64 % 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.38 % Memory : 8046.5625MB % 0.12/0.38 % OS : Linux 6.8.0-71-generic % 0.12/0.38 % CPULimit : 300 % 0.12/0.38 % WCLimit : 300 % 0.12/0.38 % DateTime : Fri Sep 4 22:10:58 UTC 2026 % 0.12/0.38 % CPUTime : % 17.56/17.85 SZS status Theorem for theBenchmark.p % 17.56/17.85 SZS output start Proof for theBenchmark.p % 17.56/17.85 Clause #2 (by assumption #[]): Eq (Eq rs (nil dB)) True % 17.56/17.85 Clause #3 (by assumption #[]): Eq (pp (aa dB bool it u)) True % 17.56/17.85 Clause #4 (by assumption #[]): Eq (Eq n i) True % 17.56/17.85 Clause #14 (by assumption #[]): Eq (∀ (U1 : dB) (K : nat), Eq (subst (var K) U1 K) U1) True % 17.56/17.85 Clause #27 (by assumption #[]): Eq (∀ (B A : Type) (A3 : A) (F : fun A (fun B A)), Eq (foldl A B F A3 (nil B)) A3) True % 17.56/17.85 Clause #107 (by assumption #[]): Eq (Not (pp (aa dB bool it (subst (foldl dB dB app (var n) rs) u i)))) True % 17.56/17.85 Clause #109 (by clausification #[4]): Eq n i % 17.56/17.85 Clause #110 (by clausification #[2]): Eq rs (nil dB) % 17.56/17.85 Clause #223 (by clausification #[14]): ∀ (a : dB), Eq (∀ (K : nat), Eq (subst (var K) a K) a) True % 17.56/17.85 Clause #224 (by clausification #[223]): ∀ (a : nat) (a_1 : dB), Eq (Eq (subst (var a) a_1 a) a_1) True % 17.56/17.85 Clause #225 (by clausification #[224]): ∀ (a : nat) (a_1 : dB), Eq (subst (var a) a_1 a) a_1 % 17.56/17.85 Clause #539 (by clausification #[27]): ∀ (a : Type), Eq (∀ (A : Type) (A3 : A) (F : fun A (fun a A)), Eq (foldl A a F A3 (nil a)) A3) True % 17.56/17.85 Clause #540 (by clausification #[539]): ∀ (a a_1 : Type), Eq (∀ (A3 : a) (F : fun a (fun a_1 a)), Eq (foldl a a_1 F A3 (nil a_1)) A3) True % 17.56/17.85 Clause #541 (by clausification #[540]): ∀ (a a_1 : Type) (a_2 : a), Eq (∀ (F : fun a (fun a_1 a)), Eq (foldl a a_1 F a_2 (nil a_1)) a_2) True % 17.56/17.85 Clause #542 (by clausification #[541]): ∀ (a a_1 : Type) (a_2 : fun a (fun a_1 a)) (a_3 : a), Eq (Eq (foldl a a_1 a_2 a_3 (nil a_1)) a_3) True % 17.56/17.85 Clause #543 (by clausification #[542]): ∀ (a a_1 : Type) (a_2 : fun a (fun a_1 a)) (a_3 : a), Eq (foldl a a_1 a_2 a_3 (nil a_1)) a_3 % 17.56/17.85 Clause #544 (by superposition #[543, 110]): ∀ (a : Type) (a_1 : fun a (fun dB a)) (a_2 : a), Eq (foldl a dB a_1 a_2 rs) a_2 % 17.56/17.85 Clause #936 (by clausification #[107]): Eq (pp (aa dB bool it (subst (foldl dB dB app (var n) rs) u i))) False % 17.56/17.85 Clause #937 (by forward demodulation #[936, 109]): Eq (pp (aa dB bool it (subst (foldl dB dB app (var n) rs) u n))) False % 17.56/17.85 Clause #938 (by forward demodulation #[937, 544]): Eq (pp (aa dB bool it (subst (var n) u n))) False % 17.56/17.85 Clause #939 (by forward demodulation #[938, 225]): Eq (pp (aa dB bool it u)) False % 17.56/17.85 Clause #940 (by superposition #[939, 3]): Eq False True % 17.56/17.85 Clause #941 (by clausification #[940]): False % 17.56/17.85 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------