%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : LCL812_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 11:36:42 AM UTC 2026 % Result : Theorem 120.66s 121.00s % Output : Proof 120.66s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : LCL812_5 : TPTP v9.3.1. Released v6.0.0. % 0.00/0.05 % Command : duper %s % 0.13/0.37 % Computer : n016.cluster.edu % 0.13/0.37 % Model : x86_64 x86_64 % 0.13/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.37 % Memory : 8046.5625MB % 0.13/0.37 % OS : Linux 6.8.0-71-generic % 0.13/0.37 % CPULimit : 300 % 0.13/0.37 % WCLimit : 300 % 0.13/0.37 % DateTime : Fri Sep 4 19:29:58 UTC 2026 % 0.13/0.38 % CPUTime : % 120.66/121.00 SZS status Theorem for theBenchmark.p % 120.66/121.00 SZS output start Proof for theBenchmark.p % 120.66/121.00 Clause #4 (by assumption #[]): Eq % 120.66/121.00 (listsp dB it % 120.66/121.00 (map dB dB (combc dB nat dB lift (zero_zero nat)) % 120.66/121.00 (map dB dB (combc dB nat dB (combc dB dB (fun nat dB) subst u) i) as))) % 120.66/121.00 True % 120.66/121.00 Clause #18 (by assumption #[]): Eq (∀ (Na : nat) (Rsa : list dB), listsp dB it Rsa → pp (aa dB bool it (foldl dB dB app (var Na) Rsa))) True % 120.66/121.00 Clause #109 (by assumption #[]): Eq % 120.66/121.00 (Not % 120.66/121.00 (pp % 120.66/121.00 (aa dB bool it % 120.66/121.00 (foldl dB dB app (var (zero_zero nat)) % 120.66/121.00 (map dB dB (combc dB nat dB lift (zero_zero nat)) % 120.66/121.00 (map dB dB (combc dB nat dB (combc dB dB (fun nat dB) subst u) i) as)))))) % 120.66/121.00 True % 120.66/121.00 Clause #455 (by clausification #[18]): ∀ (a : nat), Eq (∀ (Rsa : list dB), listsp dB it Rsa → pp (aa dB bool it (foldl dB dB app (var a) Rsa))) True % 120.66/121.00 Clause #456 (by clausification #[455]): ∀ (a : list dB) (a_1 : nat), Eq (listsp dB it a → pp (aa dB bool it (foldl dB dB app (var a_1) a))) True % 120.66/121.00 Clause #457 (by clausification #[456]): ∀ (a : list dB) (a_1 : nat), Or (Eq (listsp dB it a) False) (Eq (pp (aa dB bool it (foldl dB dB app (var a_1) a))) True) % 120.66/121.00 Clause #458 (by superposition #[457, 4]): ∀ (a : nat), % 120.66/121.00 Or % 120.66/121.00 (Eq % 120.66/121.00 (pp % 120.66/121.00 (aa dB bool it % 120.66/121.00 (foldl dB dB app (var a) % 120.66/121.00 (map dB dB (combc dB nat dB lift (zero_zero nat)) % 120.66/121.00 (map dB dB (combc dB nat dB (combc dB dB (fun nat dB) subst u) i) as))))) % 120.66/121.00 True) % 120.66/121.00 (Eq False True) % 120.66/121.00 Clause #2330 (by clausification #[109]): Eq % 120.66/121.00 (pp % 120.66/121.00 (aa dB bool it % 120.66/121.00 (foldl dB dB app (var (zero_zero nat)) % 120.66/121.00 (map dB dB (combc dB nat dB lift (zero_zero nat)) % 120.66/121.00 (map dB dB (combc dB nat dB (combc dB dB (fun nat dB) subst u) i) as))))) % 120.66/121.00 False % 120.66/121.00 Clause #4398 (by clausification #[458]): ∀ (a : nat), % 120.66/121.00 Eq % 120.66/121.00 (pp % 120.66/121.00 (aa dB bool it % 120.66/121.00 (foldl dB dB app (var a) % 120.66/121.00 (map dB dB (combc dB nat dB lift (zero_zero nat)) % 120.66/121.00 (map dB dB (combc dB nat dB (combc dB dB (fun nat dB) subst u) i) as))))) % 120.66/121.00 True % 120.66/121.00 Clause #4405 (by superposition #[4398, 2330]): Eq True False % 120.66/121.00 Clause #4411 (by clausification #[4405]): False % 120.66/121.00 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------