%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : NUM615+3 : TPTP v9.2.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n007.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 07:56:50 PM UTC 2025 % Result : Theorem 8.87s 9.04s % Output : Proof 8.87s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.04/0.12 % Problem : NUM615+3 : TPTP v9.2.0. Released v4.0.0. % 0.12/0.14 % Command : duper %s % 0.15/0.35 % Computer : n007.cluster.edu % 0.15/0.35 % Model : x86_64 x86_64 % 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.35 % Memory : 8042.1875MB % 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.35 % CPULimit : 300 % 0.15/0.35 % WCLimit : 300 % 0.15/0.35 % DateTime : Fri Oct 3 07:24:53 EDT 2025 % 0.15/0.35 % CPUTime : % 8.87/9.04 SZS status Theorem for theBenchmark.p % 8.87/9.04 SZS output start Proof for theBenchmark.p % 8.87/9.04 Clause #104 (by assumption #[]): Eq (Exists fun W0 => And (aElementOf0 W0 (sdtlbdtrb0 xd (szDzizrdt0 xd))) (Eq (sdtlpdtrp0 xe W0) xp)) True % 8.87/9.04 Clause #109 (by assumption #[]): Eq % 8.87/9.04 (Not % 8.87/9.04 (Exists fun W0 => % 8.87/9.04 And % 8.87/9.04 (Or (And (aElementOf0 W0 (szDzozmdt0 xd)) (Eq (sdtlpdtrp0 xd W0) (szDzizrdt0 xd))) % 8.87/9.04 (aElementOf0 W0 (sdtlbdtrb0 xd (szDzizrdt0 xd)))) % 8.87/9.04 (Eq (sdtlpdtrp0 xe W0) xp))) % 8.87/9.04 True % 8.87/9.04 Clause #2248 (by clausification #[104]): ∀ (a : Iota), % 8.87/9.04 Eq (And (aElementOf0 (skS.0 24 a) (sdtlbdtrb0 xd (szDzizrdt0 xd))) (Eq (sdtlpdtrp0 xe (skS.0 24 a)) xp)) True % 8.87/9.04 Clause #2249 (by clausification #[2248]): ∀ (a : Iota), Eq (Eq (sdtlpdtrp0 xe (skS.0 24 a)) xp) True % 8.87/9.04 Clause #2250 (by clausification #[2248]): ∀ (a : Iota), Eq (aElementOf0 (skS.0 24 a) (sdtlbdtrb0 xd (szDzizrdt0 xd))) True % 8.87/9.04 Clause #2251 (by clausification #[2249]): ∀ (a : Iota), Eq (sdtlpdtrp0 xe (skS.0 24 a)) xp % 8.87/9.04 Clause #2257 (by clausification #[109]): Eq % 8.87/9.04 (Exists fun W0 => % 8.87/9.04 And % 8.87/9.04 (Or (And (aElementOf0 W0 (szDzozmdt0 xd)) (Eq (sdtlpdtrp0 xd W0) (szDzizrdt0 xd))) % 8.87/9.04 (aElementOf0 W0 (sdtlbdtrb0 xd (szDzizrdt0 xd)))) % 8.87/9.04 (Eq (sdtlpdtrp0 xe W0) xp)) % 8.87/9.04 False % 8.87/9.04 Clause #2258 (by clausification #[2257]): ∀ (a : Iota), % 8.87/9.04 Eq % 8.87/9.04 (And % 8.87/9.04 (Or (And (aElementOf0 a (szDzozmdt0 xd)) (Eq (sdtlpdtrp0 xd a) (szDzizrdt0 xd))) % 8.87/9.04 (aElementOf0 a (sdtlbdtrb0 xd (szDzizrdt0 xd)))) % 8.87/9.04 (Eq (sdtlpdtrp0 xe a) xp)) % 8.87/9.04 False % 8.87/9.04 Clause #2259 (by clausification #[2258]): ∀ (a : Iota), % 8.87/9.04 Or % 8.87/9.04 (Eq % 8.87/9.04 (Or (And (aElementOf0 a (szDzozmdt0 xd)) (Eq (sdtlpdtrp0 xd a) (szDzizrdt0 xd))) % 8.87/9.04 (aElementOf0 a (sdtlbdtrb0 xd (szDzizrdt0 xd)))) % 8.87/9.04 False) % 8.87/9.04 (Eq (Eq (sdtlpdtrp0 xe a) xp) False) % 8.87/9.04 Clause #2260 (by clausification #[2259]): ∀ (a : Iota), Or (Eq (Eq (sdtlpdtrp0 xe a) xp) False) (Eq (aElementOf0 a (sdtlbdtrb0 xd (szDzizrdt0 xd))) False) % 8.87/9.04 Clause #2262 (by clausification #[2260]): ∀ (a : Iota), Or (Eq (aElementOf0 a (sdtlbdtrb0 xd (szDzizrdt0 xd))) False) (Ne (sdtlpdtrp0 xe a) xp) % 8.87/9.04 Clause #2263 (by superposition #[2262, 2250]): ∀ (a : Iota), Or (Ne (sdtlpdtrp0 xe (skS.0 24 a)) xp) (Eq False True) % 8.87/9.04 Clause #2264 (by clausification #[2263]): ∀ (a : Iota), Ne (sdtlpdtrp0 xe (skS.0 24 a)) xp % 8.87/9.04 Clause #2265 (by forward demodulation #[2264, 2251]): Ne xp xp % 8.87/9.04 Clause #2266 (by eliminate resolved literals #[2265]): False % 8.87/9.04 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------