%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : SCT199_5 : TPTP v9.2.0. Released v6.0.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n008.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 07:59:15 PM UTC 2025 % Result : Theorem 3.46s 3.65s % Output : Proof 3.46s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.04/0.12 % Problem : SCT199_5 : TPTP v9.2.0. Released v6.0.0. % 0.04/0.13 % Command : duper %s % 0.13/0.34 % Computer : n008.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 % 0.13/0.35 % CPULimit : 300 % 0.13/0.35 % WCLimit : 300 % 0.13/0.35 % DateTime : Thu Oct 2 21:12:08 EDT 2025 % 0.13/0.35 % CPUTime : % 3.46/3.65 SZS status Theorem for theBenchmark.p % 3.46/3.65 SZS output start Proof for theBenchmark.p % 3.46/3.65 Clause #0 (by assumption #[]): Eq % 3.46/3.65 (Exists fun L1 => % 3.46/3.65 pp % 3.46/3.65 (aa (fun (fun (product_prod arrow_411405190le_alt arrow_411405190le_alt) bool) bool) bool % 3.46/3.65 (aa (fun (product_prod arrow_411405190le_alt arrow_411405190le_alt) bool) % 3.46/3.65 (fun (fun (fun (product_prod arrow_411405190le_alt arrow_411405190le_alt) bool) bool) bool) % 3.46/3.65 (member (fun (product_prod arrow_411405190le_alt arrow_411405190le_alt) bool)) L1) % 3.46/3.65 arrow_1985332922le_Lin)) % 3.46/3.65 True % 3.46/3.65 Clause #109 (by assumption #[]): Eq % 3.46/3.65 (∀ (R : fun (product_prod arrow_411405190le_alt arrow_411405190le_alt) bool), % 3.46/3.65 pp % 3.46/3.65 (aa (fun (fun (product_prod arrow_411405190le_alt arrow_411405190le_alt) bool) bool) bool % 3.46/3.65 (aa (fun (product_prod arrow_411405190le_alt arrow_411405190le_alt) bool) % 3.46/3.65 (fun (fun (fun (product_prod arrow_411405190le_alt arrow_411405190le_alt) bool) bool) bool) % 3.46/3.65 (member (fun (product_prod arrow_411405190le_alt arrow_411405190le_alt) bool)) R) % 3.46/3.65 arrow_1985332922le_Lin) → % 3.46/3.65 thesis) % 3.46/3.65 True % 3.46/3.65 Clause #110 (by assumption #[]): Eq (Not thesis) True % 3.46/3.65 Clause #111 (by clausification #[110]): Eq thesis False % 3.46/3.65 Clause #113 (by clausification #[0]): ∀ (a : fun (product_prod arrow_411405190le_alt arrow_411405190le_alt) bool), % 3.46/3.65 Eq % 3.46/3.65 (pp % 3.46/3.65 (aa (fun (fun (product_prod arrow_411405190le_alt arrow_411405190le_alt) bool) bool) bool % 3.46/3.65 (aa (fun (product_prod arrow_411405190le_alt arrow_411405190le_alt) bool) % 3.46/3.65 (fun (fun (fun (product_prod arrow_411405190le_alt arrow_411405190le_alt) bool) bool) bool) % 3.46/3.65 (member (fun (product_prod arrow_411405190le_alt arrow_411405190le_alt) bool)) (skS.0 0 a)) % 3.46/3.65 arrow_1985332922le_Lin)) % 3.46/3.65 True % 3.46/3.65 Clause #114 (by clausification #[109]): ∀ (a : fun (product_prod arrow_411405190le_alt arrow_411405190le_alt) bool), % 3.46/3.65 Eq % 3.46/3.65 (pp % 3.46/3.65 (aa (fun (fun (product_prod arrow_411405190le_alt arrow_411405190le_alt) bool) bool) bool % 3.46/3.65 (aa (fun (product_prod arrow_411405190le_alt arrow_411405190le_alt) bool) % 3.46/3.65 (fun (fun (fun (product_prod arrow_411405190le_alt arrow_411405190le_alt) bool) bool) bool) % 3.46/3.65 (member (fun (product_prod arrow_411405190le_alt arrow_411405190le_alt) bool)) a) % 3.46/3.65 arrow_1985332922le_Lin) → % 3.46/3.65 thesis) % 3.46/3.65 True % 3.46/3.65 Clause #115 (by clausification #[114]): ∀ (a : fun (product_prod arrow_411405190le_alt arrow_411405190le_alt) bool), % 3.46/3.65 Or % 3.46/3.65 (Eq % 3.46/3.65 (pp % 3.46/3.65 (aa (fun (fun (product_prod arrow_411405190le_alt arrow_411405190le_alt) bool) bool) bool % 3.46/3.65 (aa (fun (product_prod arrow_411405190le_alt arrow_411405190le_alt) bool) % 3.46/3.65 (fun (fun (fun (product_prod arrow_411405190le_alt arrow_411405190le_alt) bool) bool) bool) % 3.46/3.65 (member (fun (product_prod arrow_411405190le_alt arrow_411405190le_alt) bool)) a) % 3.46/3.65 arrow_1985332922le_Lin)) % 3.46/3.65 False) % 3.46/3.65 (Eq thesis True) % 3.46/3.65 Clause #116 (by forward demodulation #[115, 111]): ∀ (a : fun (product_prod arrow_411405190le_alt arrow_411405190le_alt) bool), % 3.46/3.65 Or % 3.46/3.65 (Eq % 3.46/3.65 (pp % 3.46/3.65 (aa (fun (fun (product_prod arrow_411405190le_alt arrow_411405190le_alt) bool) bool) bool % 3.46/3.65 (aa (fun (product_prod arrow_411405190le_alt arrow_411405190le_alt) bool) % 3.46/3.65 (fun (fun (fun (product_prod arrow_411405190le_alt arrow_411405190le_alt) bool) bool) bool) % 3.46/3.65 (member (fun (product_prod arrow_411405190le_alt arrow_411405190le_alt) bool)) a) % 3.46/3.65 arrow_1985332922le_Lin)) % 3.46/3.65 False) % 3.46/3.65 (Eq False True) % 3.46/3.65 Clause #117 (by clausification #[116]): ∀ (a : fun (product_prod arrow_411405190le_alt arrow_411405190le_alt) bool), % 3.46/3.65 Eq % 3.46/3.65 (pp % 3.46/3.65 (aa (fun (fun (product_prod arrow_411405190le_alt arrow_411405190le_alt) bool) bool) bool % 3.46/3.65 (aa (fun (product_prod arrow_411405190le_alt arrow_411405190le_alt) bool) % 3.46/3.65 (fun (fun (fun (product_prod arrow_411405190le_alt arrow_411405190le_alt) bool) bool) bool) % 3.46/3.65 (member (fun (product_prod arrow_411405190le_alt arrow_411405190le_alt) bool)) a) % 3.46/3.65 arrow_1985332922le_Lin)) % 3.46/3.65 False % 3.46/3.65 Clause #118 (by superposition #[117, 113]): Eq False True % 3.46/3.65 Clause #119 (by clausification #[118]): False % 3.46/3.65 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------