%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : SWW570_5 : TPTP v9.2.0. Released v6.0.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n012.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 08:06:26 PM UTC 2025 % Result : Theorem 102.33s 102.59s % Output : Proof 102.33s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWW570_5 : TPTP v9.2.0. Released v6.0.0. % 0.12/0.14 % Command : duper %s % 0.13/0.35 % Computer : n012.cluster.edu % 0.13/0.35 % Model : x86_64 x86_64 % 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.35 % Memory : 8042.1875MB % 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.35 % CPULimit : 300 % 0.13/0.35 % WCLimit : 300 % 0.13/0.35 % DateTime : Thu Oct 2 10:50:53 EDT 2025 % 0.13/0.35 % CPUTime : % 102.33/102.59 SZS status Theorem for theBenchmark.p % 102.33/102.59 SZS output start Proof for theBenchmark.p % 102.33/102.59 Clause #0 (by assumption #[]): Eq % 102.33/102.59 (member % 102.33/102.59 (product_prod % 102.33/102.59 (product_prod (exp (list char)) % 102.33/102.59 (product_prod % 102.33/102.59 (fun nat (option (product_prod (list char) (fun (product_prod (list char) (list char)) (option val))))) % 102.33/102.59 (fun (list char) (option val)))) % 102.33/102.59 (product_prod (exp (list char)) % 102.33/102.59 (product_prod % 102.33/102.59 (fun nat (option (product_prod (list char) (fun (product_prod (list char) (list char)) (option val))))) % 102.33/102.59 (fun (list char) (option val))))) % 102.33/102.59 (product_Pair % 102.33/102.59 (product_prod (exp (list char)) % 102.33/102.59 (product_prod % 102.33/102.59 (fun nat (option (product_prod (list char) (fun (product_prod (list char) (list char)) (option val))))) % 102.33/102.59 (fun (list char) (option val)))) % 102.33/102.59 (product_prod (exp (list char)) % 102.33/102.59 (product_prod % 102.33/102.59 (fun nat (option (product_prod (list char) (fun (product_prod (list char) (list char)) (option val))))) % 102.33/102.59 (fun (list char) (option val)))) % 102.33/102.59 (product_Pair (exp (list char)) % 102.33/102.59 (product_prod % 102.33/102.59 (fun nat (option (product_prod (list char) (fun (product_prod (list char) (list char)) (option val))))) % 102.33/102.59 (fun (list char) (option val))) % 102.33/102.59 ea % 102.33/102.59 (product_Pair % 102.33/102.59 (fun nat (option (product_prod (list char) (fun (product_prod (list char) (list char)) (option val))))) % 102.33/102.59 (fun (list char) (option val)) ha la)) % 102.33/102.59 (product_Pair (exp (list char)) % 102.33/102.59 (product_prod % 102.33/102.59 (fun nat (option (product_prod (list char) (fun (product_prod (list char) (list char)) (option val))))) % 102.33/102.59 (fun (list char) (option val))) % 102.33/102.59 e_a % 102.33/102.59 (product_Pair % 102.33/102.59 (fun nat (option (product_prod (list char) (fun (product_prod (list char) (list char)) (option val))))) % 102.33/102.59 (fun (list char) (option val)) h_a l_a))) % 102.33/102.59 (red p)) % 102.33/102.59 True % 102.33/102.59 Clause #100 (by assumption #[]): Eq % 102.33/102.59 (Not % 102.33/102.59 (member % 102.33/102.59 (product_prod % 102.33/102.59 (product_prod (exp (list char)) % 102.33/102.59 (product_prod % 102.33/102.59 (fun nat (option (product_prod (list char) (fun (product_prod (list char) (list char)) (option val))))) % 102.33/102.59 (fun (list char) (option val)))) % 102.33/102.59 (product_prod (exp (list char)) % 102.33/102.59 (product_prod % 102.33/102.59 (fun nat (option (product_prod (list char) (fun (product_prod (list char) (list char)) (option val))))) % 102.33/102.59 (fun (list char) (option val))))) % 102.33/102.59 (product_Pair % 102.33/102.59 (product_prod (exp (list char)) % 102.33/102.59 (product_prod % 102.33/102.59 (fun nat (option (product_prod (list char) (fun (product_prod (list char) (list char)) (option val))))) % 102.33/102.59 (fun (list char) (option val)))) % 102.33/102.59 (product_prod (exp (list char)) % 102.33/102.59 (product_prod % 102.33/102.59 (fun nat (option (product_prod (list char) (fun (product_prod (list char) (list char)) (option val))))) % 102.33/102.59 (fun (list char) (option val)))) % 102.33/102.59 (product_Pair (exp (list char)) % 102.33/102.59 (product_prod % 102.33/102.59 (fun nat (option (product_prod (list char) (fun (product_prod (list char) (list char)) (option val))))) % 102.33/102.59 (fun (list char) (option val))) % 102.33/102.59 ea % 102.33/102.59 (product_Pair % 102.33/102.59 (fun nat (option (product_prod (list char) (fun (product_prod (list char) (list char)) (option val))))) % 102.33/102.59 (fun (list char) (option val)) ha la)) % 102.33/102.59 (product_Pair (exp (list char)) % 102.33/102.59 (product_prod % 102.33/102.59 (fun nat (option (product_prod (list char) (fun (product_prod (list char) (list char)) (option val))))) % 102.33/102.59 (fun (list char) (option val))) % 102.33/102.59 e_a % 102.33/102.59 (product_Pair % 102.33/102.59 (fun nat (option (product_prod (list char) (fun (product_prod (list char) (list char)) (option val))))) % 102.33/102.59 (fun (list char) (option val)) h_a l_a))) % 102.33/102.59 (red p))) % 102.33/102.59 True % 102.33/102.59 Clause #2061 (by clausification #[100]): Eq % 102.33/102.59 (member % 102.33/102.59 (product_prod % 102.33/102.59 (product_prod (exp (list char)) % 102.33/102.59 (product_prod % 102.33/102.59 (fun nat (option (product_prod (list char) (fun (product_prod (list char) (list char)) (option val))))) % 102.33/102.59 (fun (list char) (option val)))) % 102.33/102.59 (product_prod (exp (list char)) % 102.33/102.59 (product_prod % 102.33/102.61 (fun nat (option (product_prod (list char) (fun (product_prod (list char) (list char)) (option val))))) % 102.33/102.61 (fun (list char) (option val))))) % 102.33/102.61 (product_Pair % 102.33/102.61 (product_prod (exp (list char)) % 102.33/102.61 (product_prod % 102.33/102.61 (fun nat (option (product_prod (list char) (fun (product_prod (list char) (list char)) (option val))))) % 102.33/102.61 (fun (list char) (option val)))) % 102.33/102.61 (product_prod (exp (list char)) % 102.33/102.61 (product_prod % 102.33/102.61 (fun nat (option (product_prod (list char) (fun (product_prod (list char) (list char)) (option val))))) % 102.33/102.61 (fun (list char) (option val)))) % 102.33/102.61 (product_Pair (exp (list char)) % 102.33/102.61 (product_prod % 102.33/102.61 (fun nat (option (product_prod (list char) (fun (product_prod (list char) (list char)) (option val))))) % 102.33/102.61 (fun (list char) (option val))) % 102.33/102.61 ea % 102.33/102.61 (product_Pair % 102.33/102.61 (fun nat (option (product_prod (list char) (fun (product_prod (list char) (list char)) (option val))))) % 102.33/102.61 (fun (list char) (option val)) ha la)) % 102.33/102.61 (product_Pair (exp (list char)) % 102.33/102.61 (product_prod % 102.33/102.61 (fun nat (option (product_prod (list char) (fun (product_prod (list char) (list char)) (option val))))) % 102.33/102.61 (fun (list char) (option val))) % 102.33/102.61 e_a % 102.33/102.61 (product_Pair % 102.33/102.61 (fun nat (option (product_prod (list char) (fun (product_prod (list char) (list char)) (option val))))) % 102.33/102.61 (fun (list char) (option val)) h_a l_a))) % 102.33/102.61 (red p)) % 102.33/102.61 False % 102.33/102.61 Clause #2062 (by superposition #[2061, 0]): Eq False True % 102.33/102.61 Clause #2063 (by clausification #[2062]): False % 102.33/102.61 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------