%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : COM122_5 : TPTP v9.2.0. Released v6.0.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n025.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 07:45:54 PM UTC 2025 % Result : Theorem 4.01s 4.16s % Output : Proof 4.01s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.01/0.12 % Problem : COM122_5 : TPTP v9.2.0. Released v6.0.0. % 0.12/0.13 % Command : duper %s % 0.13/0.35 % Computer : n025.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 16:00:53 EDT 2025 % 0.13/0.35 % CPUTime : % 4.01/4.16 SZS status Theorem for theBenchmark.p % 4.01/4.16 SZS output start Proof for theBenchmark.p % 4.01/4.16 Clause #2 (by assumption #[]): Eq % 4.01/4.16 (∀ (X : atom), % 4.01/4.16 member atom X (aa (list atom) (fun atom bool) (set atom) as) → Ne (aa atom int hd_coeff X) (zero_zero int)) % 4.01/4.16 True % 4.01/4.16 Clause #3 (by assumption #[]): Eq (member atom b (aa (list atom) (fun atom bool) (set atom) as)) True % 4.01/4.16 Clause #112 (by assumption #[]): Eq (Not (Ne (aa atom int hd_coeff b) (zero_zero int))) True % 4.01/4.16 Clause #116 (by clausification #[2]): ∀ (a : atom), % 4.01/4.16 Eq (member atom a (aa (list atom) (fun atom bool) (set atom) as) → Ne (aa atom int hd_coeff a) (zero_zero int)) True % 4.01/4.16 Clause #117 (by clausification #[116]): ∀ (a : atom), % 4.01/4.16 Or (Eq (member atom a (aa (list atom) (fun atom bool) (set atom) as)) False) % 4.01/4.16 (Eq (Ne (aa atom int hd_coeff a) (zero_zero int)) True) % 4.01/4.16 Clause #118 (by clausification #[117]): ∀ (a : atom), % 4.01/4.16 Or (Eq (member atom a (aa (list atom) (fun atom bool) (set atom) as)) False) % 4.01/4.16 (Ne (aa atom int hd_coeff a) (zero_zero int)) % 4.01/4.16 Clause #129 (by superposition #[3, 118]): Or (Ne (aa atom int hd_coeff b) (zero_zero int)) (Eq False True) % 4.01/4.16 Clause #222 (by clausification #[129]): Ne (aa atom int hd_coeff b) (zero_zero int) % 4.01/4.16 Clause #315 (by clausification #[112]): Eq (Ne (aa atom int hd_coeff b) (zero_zero int)) False % 4.01/4.16 Clause #316 (by clausification #[315]): Eq (aa atom int hd_coeff b) (zero_zero int) % 4.01/4.16 Clause #317 (by forward contextual literal cutting #[316, 222]): False % 4.01/4.16 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------