%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : COM095_5 : TPTP v9.2.0. Released v6.0.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n021.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 07:45:53 PM UTC 2025 % Result : Theorem 3.63s 3.78s % Output : Proof 3.63s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.06/0.12 % Problem : COM095_5 : TPTP v9.2.0. Released v6.0.0. % 0.06/0.13 % Command : duper %s % 0.13/0.34 % Computer : n021.cluster.edu % 0.13/0.34 % Model : x86_64 x86_64 % 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.34 % Memory : 8042.1875MB % 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.34 % CPULimit : 300 % 0.13/0.34 % WCLimit : 300 % 0.13/0.34 % DateTime : Thu Oct 2 15:52:08 EDT 2025 % 0.13/0.34 % CPUTime : % 3.63/3.78 SZS status Theorem for theBenchmark.p % 3.63/3.78 SZS output start Proof for theBenchmark.p % 3.63/3.78 Clause #0 (by assumption #[]): Eq (member atom a (aa (list atom) (fun atom bool) (set atom) as)) True % 3.63/3.78 Clause #1 (by assumption #[]): Eq (∀ (X3 : atom), member atom X3 (aa (list atom) (fun atom bool) (set atom) as) → i_Z X3 (cons int x xs)) True % 3.63/3.78 Clause #114 (by assumption #[]): Eq (Not (i_Z a (cons int x xs))) True % 3.63/3.78 Clause #116 (by clausification #[1]): ∀ (a : atom), Eq (member atom a (aa (list atom) (fun atom bool) (set atom) as) → i_Z a (cons int x xs)) True % 3.63/3.78 Clause #117 (by clausification #[116]): ∀ (a : atom), % 3.63/3.78 Or (Eq (member atom a (aa (list atom) (fun atom bool) (set atom) as)) False) (Eq (i_Z a (cons int x xs)) True) % 3.63/3.78 Clause #118 (by superposition #[117, 0]): Or (Eq (i_Z a (cons int x xs)) True) (Eq False True) % 3.63/3.78 Clause #147 (by clausification #[114]): Eq (i_Z a (cons int x xs)) False % 3.63/3.78 Clause #148 (by clausification #[118]): Eq (i_Z a (cons int x xs)) True % 3.63/3.78 Clause #149 (by superposition #[148, 147]): Eq True False % 3.63/3.78 Clause #150 (by clausification #[149]): False % 3.63/3.78 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------