%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : NUM610+3 : TPTP v9.2.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n003.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 07:56:49 PM UTC 2025 % Result : Theorem 9.23s 9.41s % Output : Proof 9.23s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.13 % Problem : NUM610+3 : TPTP v9.2.0. Released v4.0.0. % 0.03/0.14 % Command : duper %s % 0.14/0.35 % Computer : n003.cluster.edu % 0.14/0.35 % Model : x86_64 x86_64 % 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.35 % Memory : 8042.1875MB % 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.35 % CPULimit : 300 % 0.14/0.35 % WCLimit : 300 % 0.14/0.35 % DateTime : Fri Oct 3 06:50:53 EDT 2025 % 0.14/0.35 % CPUTime : % 9.23/9.41 SZS status Theorem for theBenchmark.p % 9.23/9.41 SZS output start Proof for theBenchmark.p % 9.23/9.41 Clause #98 (by assumption #[]): Eq % 9.23/9.41 (And (∀ (W0 : Iota), aElementOf0 W0 xQ → aElementOf0 W0 xO) % 9.23/9.41 (Not (Or (Not (Exists fun W0 => aElementOf0 W0 xQ)) (Eq xQ slcrc0)))) % 9.23/9.41 True % 9.23/9.41 Clause #105 (by assumption #[]): Eq (And (∀ (W0 : Iota), aElementOf0 W0 xP → aElementOf0 W0 xQ) (aSubsetOf0 xP xQ)) True % 9.23/9.41 Clause #106 (by assumption #[]): Eq (Not (Or (∀ (W0 : Iota), aElementOf0 W0 xP → aElementOf0 W0 xO) (aSubsetOf0 xP xO))) True % 9.23/9.41 Clause #1276 (by clausification #[105]): Eq (∀ (W0 : Iota), aElementOf0 W0 xP → aElementOf0 W0 xQ) True % 9.23/9.41 Clause #1279 (by clausification #[1276]): ∀ (a : Iota), Eq (aElementOf0 a xP → aElementOf0 a xQ) True % 9.23/9.41 Clause #1280 (by clausification #[1279]): ∀ (a : Iota), Or (Eq (aElementOf0 a xP) False) (Eq (aElementOf0 a xQ) True) % 9.23/9.41 Clause #1828 (by clausification #[106]): Eq (Or (∀ (W0 : Iota), aElementOf0 W0 xP → aElementOf0 W0 xO) (aSubsetOf0 xP xO)) False % 9.23/9.41 Clause #1830 (by clausification #[1828]): Eq (∀ (W0 : Iota), aElementOf0 W0 xP → aElementOf0 W0 xO) False % 9.23/9.41 Clause #1831 (by clausification #[1830]): ∀ (a : Iota), Eq (Not (aElementOf0 (skS.0 22 a) xP → aElementOf0 (skS.0 22 a) xO)) True % 9.23/9.41 Clause #1832 (by clausification #[1831]): ∀ (a : Iota), Eq (aElementOf0 (skS.0 22 a) xP → aElementOf0 (skS.0 22 a) xO) False % 9.23/9.41 Clause #1833 (by clausification #[1832]): ∀ (a : Iota), Eq (aElementOf0 (skS.0 22 a) xP) True % 9.23/9.41 Clause #1834 (by clausification #[1832]): ∀ (a : Iota), Eq (aElementOf0 (skS.0 22 a) xO) False % 9.23/9.41 Clause #1835 (by superposition #[1833, 1280]): ∀ (a : Iota), Or (Eq True False) (Eq (aElementOf0 (skS.0 22 a) xQ) True) % 9.23/9.41 Clause #1836 (by clausification #[1835]): ∀ (a : Iota), Eq (aElementOf0 (skS.0 22 a) xQ) True % 9.23/9.41 Clause #2153 (by clausification #[98]): Eq (∀ (W0 : Iota), aElementOf0 W0 xQ → aElementOf0 W0 xO) True % 9.23/9.41 Clause #2158 (by clausification #[2153]): ∀ (a : Iota), Eq (aElementOf0 a xQ → aElementOf0 a xO) True % 9.23/9.41 Clause #2159 (by clausification #[2158]): ∀ (a : Iota), Or (Eq (aElementOf0 a xQ) False) (Eq (aElementOf0 a xO) True) % 9.23/9.41 Clause #2161 (by superposition #[2159, 1836]): ∀ (a : Iota), Or (Eq (aElementOf0 (skS.0 22 a) xO) True) (Eq False True) % 9.23/9.41 Clause #2180 (by clausification #[2161]): ∀ (a : Iota), Eq (aElementOf0 (skS.0 22 a) xO) True % 9.23/9.41 Clause #2181 (by superposition #[2180, 1834]): Eq True False % 9.23/9.41 Clause #2184 (by clausification #[2181]): False % 9.23/9.41 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------