%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : SEU040+1 : TPTP v9.2.0. Released v3.2.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n002.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 08:00:49 PM UTC 2025 % Result : Theorem 10.64s 10.82s % Output : Proof 10.64s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : SEU040+1 : TPTP v9.2.0. Released v3.2.0. % 0.07/0.14 % Command : duper %s % 0.14/0.35 % Computer : n002.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 04:15:38 EDT 2025 % 0.14/0.35 % CPUTime : % 10.64/10.82 SZS status Theorem for theBenchmark.p % 10.64/10.82 SZS output start Proof for theBenchmark.p % 10.64/10.82 Clause #35 (by assumption #[]): Eq % 10.64/10.82 (Not % 10.64/10.82 (∀ (A B : Iota), % 10.64/10.82 And (relation B) (function B) → % 10.64/10.82 And (subset (relation_dom (relation_dom_restriction B A)) (relation_dom B)) % 10.64/10.82 (subset (relation_rng (relation_dom_restriction B A)) (relation_rng B)))) % 10.64/10.82 True % 10.64/10.82 Clause #36 (by assumption #[]): Eq (∀ (A B : Iota), relation B → subset (relation_dom (relation_dom_restriction B A)) (relation_dom B)) True % 10.64/10.82 Clause #37 (by assumption #[]): Eq (∀ (A B : Iota), relation B → subset (relation_rng (relation_dom_restriction B A)) (relation_rng B)) True % 10.64/10.82 Clause #278 (by clausification #[37]): ∀ (a : Iota), Eq (∀ (B : Iota), relation B → subset (relation_rng (relation_dom_restriction B a)) (relation_rng B)) True % 10.64/10.82 Clause #279 (by clausification #[278]): ∀ (a a_1 : Iota), Eq (relation a → subset (relation_rng (relation_dom_restriction a a_1)) (relation_rng a)) True % 10.64/10.82 Clause #280 (by clausification #[279]): ∀ (a a_1 : Iota), % 10.64/10.82 Or (Eq (relation a) False) (Eq (subset (relation_rng (relation_dom_restriction a a_1)) (relation_rng a)) True) % 10.64/10.82 Clause #290 (by clausification #[36]): ∀ (a : Iota), Eq (∀ (B : Iota), relation B → subset (relation_dom (relation_dom_restriction B a)) (relation_dom B)) True % 10.64/10.82 Clause #291 (by clausification #[290]): ∀ (a a_1 : Iota), Eq (relation a → subset (relation_dom (relation_dom_restriction a a_1)) (relation_dom a)) True % 10.64/10.82 Clause #292 (by clausification #[291]): ∀ (a a_1 : Iota), % 10.64/10.82 Or (Eq (relation a) False) (Eq (subset (relation_dom (relation_dom_restriction a a_1)) (relation_dom a)) True) % 10.64/10.82 Clause #343 (by clausification #[35]): Eq % 10.64/10.82 (∀ (A B : Iota), % 10.64/10.82 And (relation B) (function B) → % 10.64/10.82 And (subset (relation_dom (relation_dom_restriction B A)) (relation_dom B)) % 10.64/10.82 (subset (relation_rng (relation_dom_restriction B A)) (relation_rng B))) % 10.64/10.82 False % 10.64/10.82 Clause #344 (by clausification #[343]): ∀ (a : Iota), % 10.64/10.82 Eq % 10.64/10.82 (Not % 10.64/10.82 (∀ (B : Iota), % 10.64/10.82 And (relation B) (function B) → % 10.64/10.82 And (subset (relation_dom (relation_dom_restriction B (skS.0 11 a))) (relation_dom B)) % 10.64/10.82 (subset (relation_rng (relation_dom_restriction B (skS.0 11 a))) (relation_rng B)))) % 10.64/10.82 True % 10.64/10.82 Clause #345 (by clausification #[344]): ∀ (a : Iota), % 10.64/10.82 Eq % 10.64/10.82 (∀ (B : Iota), % 10.64/10.82 And (relation B) (function B) → % 10.64/10.82 And (subset (relation_dom (relation_dom_restriction B (skS.0 11 a))) (relation_dom B)) % 10.64/10.82 (subset (relation_rng (relation_dom_restriction B (skS.0 11 a))) (relation_rng B))) % 10.64/10.82 False % 10.64/10.82 Clause #346 (by clausification #[345]): ∀ (a a_1 : Iota), % 10.64/10.82 Eq % 10.64/10.82 (Not % 10.64/10.82 (And (relation (skS.0 12 a a_1)) (function (skS.0 12 a a_1)) → % 10.64/10.82 And % 10.64/10.82 (subset (relation_dom (relation_dom_restriction (skS.0 12 a a_1) (skS.0 11 a))) % 10.64/10.82 (relation_dom (skS.0 12 a a_1))) % 10.64/10.82 (subset (relation_rng (relation_dom_restriction (skS.0 12 a a_1) (skS.0 11 a))) % 10.64/10.82 (relation_rng (skS.0 12 a a_1))))) % 10.64/10.82 True % 10.64/10.82 Clause #347 (by clausification #[346]): ∀ (a a_1 : Iota), % 10.64/10.82 Eq % 10.64/10.82 (And (relation (skS.0 12 a a_1)) (function (skS.0 12 a a_1)) → % 10.64/10.82 And % 10.64/10.82 (subset (relation_dom (relation_dom_restriction (skS.0 12 a a_1) (skS.0 11 a))) (relation_dom (skS.0 12 a a_1))) % 10.64/10.82 (subset (relation_rng (relation_dom_restriction (skS.0 12 a a_1) (skS.0 11 a))) % 10.64/10.82 (relation_rng (skS.0 12 a a_1)))) % 10.64/10.82 False % 10.64/10.82 Clause #348 (by clausification #[347]): ∀ (a a_1 : Iota), Eq (And (relation (skS.0 12 a a_1)) (function (skS.0 12 a a_1))) True % 10.64/10.82 Clause #349 (by clausification #[347]): ∀ (a a_1 : Iota), % 10.64/10.82 Eq % 10.64/10.82 (And % 10.64/10.82 (subset (relation_dom (relation_dom_restriction (skS.0 12 a a_1) (skS.0 11 a))) (relation_dom (skS.0 12 a a_1))) % 10.64/10.82 (subset (relation_rng (relation_dom_restriction (skS.0 12 a a_1) (skS.0 11 a))) (relation_rng (skS.0 12 a a_1)))) % 10.64/10.82 False % 10.64/10.82 Clause #351 (by clausification #[348]): ∀ (a a_1 : Iota), Eq (relation (skS.0 12 a a_1)) True % 10.64/10.82 Clause #358 (by superposition #[351, 280]): ∀ (a a_1 a_2 : Iota), % 10.64/10.82 Or (Eq True False) % 10.64/10.82 (Eq (subset (relation_rng (relation_dom_restriction (skS.0 12 a a_1) a_2)) (relation_rng (skS.0 12 a a_1))) True) % 10.64/10.83 Clause #359 (by superposition #[351, 292]): ∀ (a a_1 a_2 : Iota), % 10.64/10.83 Or (Eq True False) % 10.64/10.83 (Eq (subset (relation_dom (relation_dom_restriction (skS.0 12 a a_1) a_2)) (relation_dom (skS.0 12 a a_1))) True) % 10.64/10.83 Clause #951 (by clausification #[349]): ∀ (a a_1 : Iota), % 10.64/10.83 Or % 10.64/10.83 (Eq (subset (relation_dom (relation_dom_restriction (skS.0 12 a a_1) (skS.0 11 a))) (relation_dom (skS.0 12 a a_1))) % 10.64/10.83 False) % 10.64/10.83 (Eq (subset (relation_rng (relation_dom_restriction (skS.0 12 a a_1) (skS.0 11 a))) (relation_rng (skS.0 12 a a_1))) % 10.64/10.83 False) % 10.64/10.83 Clause #1051 (by clausification #[358]): ∀ (a a_1 a_2 : Iota), % 10.64/10.83 Eq (subset (relation_rng (relation_dom_restriction (skS.0 12 a a_1) a_2)) (relation_rng (skS.0 12 a a_1))) True % 10.64/10.83 Clause #1052 (by backward demodulation #[1051, 951]): ∀ (a a_1 : Iota), % 10.64/10.83 Or % 10.64/10.83 (Eq (subset (relation_dom (relation_dom_restriction (skS.0 12 a a_1) (skS.0 11 a))) (relation_dom (skS.0 12 a a_1))) % 10.64/10.83 False) % 10.64/10.83 (Eq True False) % 10.64/10.83 Clause #1062 (by clausification #[359]): ∀ (a a_1 a_2 : Iota), % 10.64/10.83 Eq (subset (relation_dom (relation_dom_restriction (skS.0 12 a a_1) a_2)) (relation_dom (skS.0 12 a a_1))) True % 10.64/10.83 Clause #1338 (by clausification #[1052]): ∀ (a a_1 : Iota), % 10.64/10.83 Eq (subset (relation_dom (relation_dom_restriction (skS.0 12 a a_1) (skS.0 11 a))) (relation_dom (skS.0 12 a a_1))) % 10.64/10.83 False % 10.64/10.83 Clause #1339 (by superposition #[1338, 1062]): Eq False True % 10.64/10.83 Clause #1340 (by clausification #[1339]): False % 10.64/10.83 SZS output end Proof for theBenchmark.p 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