%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : LCL778_5 : TPTP v9.3.1. Released v6.0.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n026.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 11:36:37 AM UTC 2026 % Result : Theorem 33.78s 34.08s % Output : Proof 33.78s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : LCL778_5 : TPTP v9.3.1. Released v6.0.0. % 0.00/0.04 % Command : duper %s % 0.11/0.36 % Computer : n026.cluster.edu % 0.11/0.36 % Model : x86_64 x86_64 % 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.11/0.36 % Memory : 8046.5625MB % 0.11/0.36 % OS : Linux 6.8.0-71-generic % 0.11/0.36 % CPULimit : 300 % 0.11/0.36 % WCLimit : 300 % 0.11/0.36 % DateTime : Fri Sep 4 19:35:25 UTC 2026 % 0.11/0.36 % CPUTime : % 33.78/34.08 SZS status Theorem for theBenchmark.p % 33.78/34.08 SZS output start Proof for theBenchmark.p % 33.78/34.08 Clause #103 (by assumption #[]): Eq (pp (aa dB bool it (aa dB dB (aa dB (fun dB dB) app (foldl dB dB app (subst r s (zero_zero nat)) ss)) (var i)))) True % 33.78/34.08 Clause #106 (by assumption #[]): Eq % 33.78/34.08 (Not (pp (aa dB bool it (aa dB dB (aa dB (fun dB dB) app (foldl dB dB app (subst r s (zero_zero nat)) ss)) (var i))))) % 33.78/34.08 True % 33.78/34.08 Clause #2166 (by clausification #[106]): Eq (pp (aa dB bool it (aa dB dB (aa dB (fun dB dB) app (foldl dB dB app (subst r s (zero_zero nat)) ss)) (var i)))) % 33.78/34.08 False % 33.78/34.08 Clause #2167 (by superposition #[2166, 103]): Eq False True % 33.78/34.08 Clause #2168 (by clausification #[2167]): False % 33.78/34.08 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------