%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : SEU303+3 : TPTP v9.2.0. Released v3.2.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n031.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 08:01:20 PM UTC 2025 % Result : Theorem 19.95s 20.11s % Output : Proof 19.95s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.12 % Problem : SEU303+3 : TPTP v9.2.0. Released v3.2.0. % 0.12/0.13 % Command : duper %s % 0.14/0.34 % Computer : n031.cluster.edu % 0.14/0.34 % Model : x86_64 x86_64 % 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.34 % Memory : 8042.1875MB % 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.34 % CPULimit : 300 % 0.14/0.34 % WCLimit : 300 % 0.14/0.34 % DateTime : Fri Oct 3 06:03:53 EDT 2025 % 0.14/0.34 % CPUTime : % 19.95/20.11 SZS status Theorem for theBenchmark.p % 19.95/20.11 SZS output start Proof for theBenchmark.p % 19.95/20.11 Clause #14 (by assumption #[]): Eq (∀ (A B : Iota), And (And (relation A) (function A)) (finite B) → finite (relation_image A B)) True % 19.95/20.11 Clause #52 (by assumption #[]): Eq (∀ (A : Iota), relation A → Eq (relation_image A (relation_dom A)) (relation_rng A)) True % 19.95/20.11 Clause #55 (by assumption #[]): Eq (Not (∀ (A : Iota), And (relation A) (function A) → finite (relation_dom A) → finite (relation_rng A))) True % 19.95/20.11 Clause #144 (by clausification #[14]): ∀ (a : Iota), Eq (∀ (B : Iota), And (And (relation a) (function a)) (finite B) → finite (relation_image a B)) True % 19.95/20.11 Clause #145 (by clausification #[144]): ∀ (a a_1 : Iota), Eq (And (And (relation a) (function a)) (finite a_1) → finite (relation_image a a_1)) True % 19.95/20.11 Clause #146 (by clausification #[145]): ∀ (a a_1 : Iota), % 19.95/20.11 Or (Eq (And (And (relation a) (function a)) (finite a_1)) False) (Eq (finite (relation_image a a_1)) True) % 19.95/20.11 Clause #147 (by clausification #[146]): ∀ (a a_1 : Iota), % 19.95/20.11 Or (Eq (finite (relation_image a a_1)) True) (Or (Eq (And (relation a) (function a)) False) (Eq (finite a_1) False)) % 19.95/20.11 Clause #148 (by clausification #[147]): ∀ (a a_1 : Iota), % 19.95/20.11 Or (Eq (finite (relation_image a a_1)) True) % 19.95/20.11 (Or (Eq (finite a_1) False) (Or (Eq (relation a) False) (Eq (function a) False))) % 19.95/20.11 Clause #163 (by clausification #[55]): Eq (∀ (A : Iota), And (relation A) (function A) → finite (relation_dom A) → finite (relation_rng A)) False % 19.95/20.11 Clause #164 (by clausification #[163]): ∀ (a : Iota), % 19.95/20.11 Eq % 19.95/20.11 (Not % 19.95/20.11 (And (relation (skS.0 3 a)) (function (skS.0 3 a)) → % 19.95/20.11 finite (relation_dom (skS.0 3 a)) → finite (relation_rng (skS.0 3 a)))) % 19.95/20.11 True % 19.95/20.11 Clause #165 (by clausification #[164]): ∀ (a : Iota), % 19.95/20.11 Eq % 19.95/20.11 (And (relation (skS.0 3 a)) (function (skS.0 3 a)) → % 19.95/20.11 finite (relation_dom (skS.0 3 a)) → finite (relation_rng (skS.0 3 a))) % 19.95/20.11 False % 19.95/20.11 Clause #166 (by clausification #[165]): ∀ (a : Iota), Eq (And (relation (skS.0 3 a)) (function (skS.0 3 a))) True % 19.95/20.11 Clause #167 (by clausification #[165]): ∀ (a : Iota), Eq (finite (relation_dom (skS.0 3 a)) → finite (relation_rng (skS.0 3 a))) False % 19.95/20.11 Clause #168 (by clausification #[166]): ∀ (a : Iota), Eq (function (skS.0 3 a)) True % 19.95/20.11 Clause #169 (by clausification #[166]): ∀ (a : Iota), Eq (relation (skS.0 3 a)) True % 19.95/20.11 Clause #363 (by clausification #[167]): ∀ (a : Iota), Eq (finite (relation_dom (skS.0 3 a))) True % 19.95/20.11 Clause #364 (by clausification #[167]): ∀ (a : Iota), Eq (finite (relation_rng (skS.0 3 a))) False % 19.95/20.11 Clause #366 (by superposition #[363, 148]): ∀ (a a_1 : Iota), % 19.95/20.11 Or (Eq (finite (relation_image a (relation_dom (skS.0 3 a_1)))) True) % 19.95/20.11 (Or (Eq True False) (Or (Eq (relation a) False) (Eq (function a) False))) % 19.95/20.11 Clause #433 (by clausification #[52]): ∀ (a : Iota), Eq (relation a → Eq (relation_image a (relation_dom a)) (relation_rng a)) True % 19.95/20.11 Clause #434 (by clausification #[433]): ∀ (a : Iota), Or (Eq (relation a) False) (Eq (Eq (relation_image a (relation_dom a)) (relation_rng a)) True) % 19.95/20.11 Clause #435 (by clausification #[434]): ∀ (a : Iota), Or (Eq (relation a) False) (Eq (relation_image a (relation_dom a)) (relation_rng a)) % 19.95/20.11 Clause #437 (by superposition #[435, 169]): ∀ (a : Iota), Or (Eq (relation_image (skS.0 3 a) (relation_dom (skS.0 3 a))) (relation_rng (skS.0 3 a))) (Eq False True) % 19.95/20.11 Clause #929 (by clausification #[366]): ∀ (a a_1 : Iota), % 19.95/20.11 Or (Eq (finite (relation_image a (relation_dom (skS.0 3 a_1)))) True) % 19.95/20.11 (Or (Eq (relation a) False) (Eq (function a) False)) % 19.95/20.11 Clause #931 (by superposition #[929, 169]): ∀ (a a_1 : Iota), % 19.95/20.11 Or (Eq (finite (relation_image (skS.0 3 a) (relation_dom (skS.0 3 a_1)))) True) % 19.95/20.11 (Or (Eq (function (skS.0 3 a)) False) (Eq False True)) % 19.95/20.11 Clause #1057 (by clausification #[437]): ∀ (a : Iota), Eq (relation_image (skS.0 3 a) (relation_dom (skS.0 3 a))) (relation_rng (skS.0 3 a)) % 19.95/20.11 Clause #2201 (by clausification #[931]): ∀ (a a_1 : Iota), % 19.95/20.11 Or (Eq (finite (relation_image (skS.0 3 a) (relation_dom (skS.0 3 a_1)))) True) (Eq (function (skS.0 3 a)) False) % 19.95/20.11 Clause #2202 (by forward demodulation #[2201, 168]): ∀ (a a_1 : Iota), Or (Eq (finite (relation_image (skS.0 3 a) (relation_dom (skS.0 3 a_1)))) True) (Eq True False) % 19.95/20.11 Clause #2203 (by clausification #[2202]): ∀ (a a_1 : Iota), Eq (finite (relation_image (skS.0 3 a) (relation_dom (skS.0 3 a_1)))) True % 19.95/20.11 Clause #2206 (by superposition #[2203, 1057]): ∀ (a : Iota), Eq (finite (relation_rng (skS.0 3 a))) True % 19.95/20.11 Clause #2207 (by superposition #[2206, 364]): Eq True False % 19.95/20.11 Clause #2210 (by clausification #[2207]): False % 19.95/20.11 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------