%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : SEU200+1 : TPTP v9.2.0. Released v3.3.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n016.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 08:01:06 PM UTC 2025 % Result : Theorem 54.60s 54.81s % Output : Proof 54.70s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : SEU200+1 : TPTP v9.2.0. Released v3.3.0. % 0.13/0.13 % Command : duper %s % 0.13/0.34 % Computer : n016.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 : Fri Oct 3 06:14:53 EDT 2025 % 0.13/0.35 % CPUTime : % 54.60/54.81 SZS status Theorem for theBenchmark.p % 54.60/54.81 SZS output start Proof for theBenchmark.p % 54.60/54.81 Clause #3 (by assumption #[]): Eq (∀ (A B : Iota), relation B → relation (relation_rng_restriction A B)) True % 54.60/54.81 Clause #19 (by assumption #[]): Eq (∀ (A B : Iota), relation B → subset (relation_rng_restriction A B) B) True % 54.60/54.81 Clause #20 (by assumption #[]): Eq (Not (∀ (A B : Iota), relation B → subset (relation_rng (relation_rng_restriction A B)) (relation_rng B))) True % 54.60/54.81 Clause #22 (by assumption #[]): Eq % 54.60/54.81 (∀ (A : Iota), % 54.60/54.81 relation A → % 54.60/54.81 ∀ (B : Iota), % 54.60/54.81 relation B → % 54.60/54.81 subset A B → And (subset (relation_dom A) (relation_dom B)) (subset (relation_rng A) (relation_rng B))) % 54.60/54.81 True % 54.60/54.81 Clause #50 (by clausification #[3]): ∀ (a : Iota), Eq (∀ (B : Iota), relation B → relation (relation_rng_restriction a B)) True % 54.60/54.81 Clause #51 (by clausification #[50]): ∀ (a a_1 : Iota), Eq (relation a → relation (relation_rng_restriction a_1 a)) True % 54.60/54.81 Clause #52 (by clausification #[51]): ∀ (a a_1 : Iota), Or (Eq (relation a) False) (Eq (relation (relation_rng_restriction a_1 a)) True) % 54.60/54.81 Clause #91 (by clausification #[19]): ∀ (a : Iota), Eq (∀ (B : Iota), relation B → subset (relation_rng_restriction a B) B) True % 54.60/54.81 Clause #92 (by clausification #[91]): ∀ (a a_1 : Iota), Eq (relation a → subset (relation_rng_restriction a_1 a) a) True % 54.60/54.81 Clause #93 (by clausification #[92]): ∀ (a a_1 : Iota), Or (Eq (relation a) False) (Eq (subset (relation_rng_restriction a_1 a) a) True) % 54.60/54.81 Clause #206 (by clausification #[20]): Eq (∀ (A B : Iota), relation B → subset (relation_rng (relation_rng_restriction A B)) (relation_rng B)) False % 54.60/54.81 Clause #207 (by clausification #[206]): ∀ (a : Iota), % 54.60/54.81 Eq (Not (∀ (B : Iota), relation B → subset (relation_rng (relation_rng_restriction (skS.0 7 a) B)) (relation_rng B))) % 54.60/54.81 True % 54.60/54.81 Clause #208 (by clausification #[207]): ∀ (a : Iota), % 54.60/54.81 Eq (∀ (B : Iota), relation B → subset (relation_rng (relation_rng_restriction (skS.0 7 a) B)) (relation_rng B)) False % 54.60/54.81 Clause #209 (by clausification #[208]): ∀ (a a_1 : Iota), % 54.60/54.81 Eq % 54.60/54.81 (Not % 54.60/54.81 (relation (skS.0 8 a a_1) → % 54.60/54.81 subset (relation_rng (relation_rng_restriction (skS.0 7 a) (skS.0 8 a a_1))) (relation_rng (skS.0 8 a a_1)))) % 54.60/54.81 True % 54.60/54.81 Clause #210 (by clausification #[209]): ∀ (a a_1 : Iota), % 54.60/54.81 Eq % 54.60/54.81 (relation (skS.0 8 a a_1) → % 54.60/54.81 subset (relation_rng (relation_rng_restriction (skS.0 7 a) (skS.0 8 a a_1))) (relation_rng (skS.0 8 a a_1))) % 54.60/54.81 False % 54.60/54.81 Clause #211 (by clausification #[210]): ∀ (a a_1 : Iota), Eq (relation (skS.0 8 a a_1)) True % 54.60/54.81 Clause #212 (by clausification #[210]): ∀ (a a_1 : Iota), % 54.60/54.81 Eq (subset (relation_rng (relation_rng_restriction (skS.0 7 a) (skS.0 8 a a_1))) (relation_rng (skS.0 8 a a_1))) False % 54.60/54.81 Clause #213 (by superposition #[211, 52]): ∀ (a a_1 a_2 : Iota), Or (Eq True False) (Eq (relation (relation_rng_restriction a (skS.0 8 a_1 a_2))) True) % 54.60/54.81 Clause #216 (by superposition #[211, 93]): ∀ (a a_1 a_2 : Iota), % 54.60/54.81 Or (Eq True False) (Eq (subset (relation_rng_restriction a (skS.0 8 a_1 a_2)) (skS.0 8 a_1 a_2)) True) % 54.60/54.81 Clause #225 (by clausification #[22]): ∀ (a : Iota), % 54.60/54.81 Eq % 54.60/54.81 (relation a → % 54.60/54.81 ∀ (B : Iota), % 54.60/54.81 relation B → % 54.60/54.81 subset a B → And (subset (relation_dom a) (relation_dom B)) (subset (relation_rng a) (relation_rng B))) % 54.60/54.81 True % 54.60/54.81 Clause #226 (by clausification #[225]): ∀ (a : Iota), % 54.60/54.81 Or (Eq (relation a) False) % 54.60/54.81 (Eq % 54.60/54.81 (∀ (B : Iota), % 54.60/54.81 relation B → % 54.60/54.81 subset a B → And (subset (relation_dom a) (relation_dom B)) (subset (relation_rng a) (relation_rng B))) % 54.60/54.81 True) % 54.60/54.81 Clause #227 (by clausification #[226]): ∀ (a a_1 : Iota), % 54.60/54.81 Or (Eq (relation a) False) % 54.60/54.81 (Eq % 54.60/54.81 (relation a_1 → % 54.60/54.81 subset a a_1 → And (subset (relation_dom a) (relation_dom a_1)) (subset (relation_rng a) (relation_rng a_1))) % 54.60/54.81 True) % 54.60/54.81 Clause #228 (by clausification #[227]): ∀ (a a_1 : Iota), % 54.60/54.81 Or (Eq (relation a) False) % 54.60/54.81 (Or (Eq (relation a_1) False) % 54.60/54.81 (Eq (subset a a_1 → And (subset (relation_dom a) (relation_dom a_1)) (subset (relation_rng a) (relation_rng a_1))) % 54.70/54.89 True)) % 54.70/54.89 Clause #229 (by clausification #[228]): ∀ (a a_1 : Iota), % 54.70/54.89 Or (Eq (relation a) False) % 54.70/54.89 (Or (Eq (relation a_1) False) % 54.70/54.89 (Or (Eq (subset a a_1) False) % 54.70/54.89 (Eq (And (subset (relation_dom a) (relation_dom a_1)) (subset (relation_rng a) (relation_rng a_1))) True))) % 54.70/54.89 Clause #230 (by clausification #[229]): ∀ (a a_1 : Iota), % 54.70/54.89 Or (Eq (relation a) False) % 54.70/54.89 (Or (Eq (relation a_1) False) (Or (Eq (subset a a_1) False) (Eq (subset (relation_rng a) (relation_rng a_1)) True))) % 54.70/54.89 Clause #355 (by clausification #[213]): ∀ (a a_1 a_2 : Iota), Eq (relation (relation_rng_restriction a (skS.0 8 a_1 a_2))) True % 54.70/54.89 Clause #360 (by superposition #[355, 230]): ∀ (a a_1 a_2 a_3 : Iota), % 54.70/54.89 Or (Eq True False) % 54.70/54.89 (Or (Eq (relation a) False) % 54.70/54.89 (Or (Eq (subset (relation_rng_restriction a_1 (skS.0 8 a_2 a_3)) a) False) % 54.70/54.89 (Eq (subset (relation_rng (relation_rng_restriction a_1 (skS.0 8 a_2 a_3))) (relation_rng a)) True))) % 54.70/54.89 Clause #458 (by clausification #[216]): ∀ (a a_1 a_2 : Iota), Eq (subset (relation_rng_restriction a (skS.0 8 a_1 a_2)) (skS.0 8 a_1 a_2)) True % 54.70/54.89 Clause #769 (by clausification #[360]): ∀ (a a_1 a_2 a_3 : Iota), % 54.70/54.89 Or (Eq (relation a) False) % 54.70/54.89 (Or (Eq (subset (relation_rng_restriction a_1 (skS.0 8 a_2 a_3)) a) False) % 54.70/54.89 (Eq (subset (relation_rng (relation_rng_restriction a_1 (skS.0 8 a_2 a_3))) (relation_rng a)) True)) % 54.70/54.89 Clause #772 (by superposition #[769, 211]): ∀ (a a_1 a_2 a_3 a_4 : Iota), % 54.70/54.89 Or (Eq (subset (relation_rng_restriction a (skS.0 8 a_1 a_2)) (skS.0 8 a_3 a_4)) False) % 54.70/54.89 (Or % 54.70/54.89 (Eq (subset (relation_rng (relation_rng_restriction a (skS.0 8 a_1 a_2))) (relation_rng (skS.0 8 a_3 a_4))) True) % 54.70/54.89 (Eq False True)) % 54.70/54.89 Clause #8604 (by clausification #[772]): ∀ (a a_1 a_2 a_3 a_4 : Iota), % 54.70/54.89 Or (Eq (subset (relation_rng_restriction a (skS.0 8 a_1 a_2)) (skS.0 8 a_3 a_4)) False) % 54.70/54.89 (Eq (subset (relation_rng (relation_rng_restriction a (skS.0 8 a_1 a_2))) (relation_rng (skS.0 8 a_3 a_4))) True) % 54.70/54.89 Clause #8605 (by superposition #[8604, 458]): ∀ (a a_1 a_2 : Iota), % 54.70/54.89 Or (Eq (subset (relation_rng (relation_rng_restriction a (skS.0 8 a_1 a_2))) (relation_rng (skS.0 8 a_1 a_2))) True) % 54.70/54.89 (Eq False True) % 54.70/54.89 Clause #8606 (by clausification #[8605]): ∀ (a a_1 a_2 : Iota), % 54.70/54.89 Eq (subset (relation_rng (relation_rng_restriction a (skS.0 8 a_1 a_2))) (relation_rng (skS.0 8 a_1 a_2))) True % 54.70/54.89 Clause #8607 (by superposition #[8606, 212]): Eq True False % 54.70/54.89 Clause #8609 (by clausification #[8607]): False % 54.70/54.89 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------