%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : SEU247+1 : TPTP v9.2.0. Released v3.3.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n008.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 08:01:13 PM UTC 2025 % Result : Theorem 100.64s 100.80s % Output : Proof 100.67s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.11 % Problem : SEU247+1 : TPTP v9.2.0. Released v3.3.0. % 0.11/0.13 % Command : duper %s % 0.13/0.33 % Computer : n008.cluster.edu % 0.13/0.33 % Model : x86_64 x86_64 % 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.33 % Memory : 8042.1875MB % 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.33 % CPULimit : 300 % 0.13/0.33 % WCLimit : 300 % 0.13/0.33 % DateTime : Fri Oct 3 05:08:38 EDT 2025 % 0.13/0.34 % CPUTime : % 100.64/100.80 SZS status Theorem for theBenchmark.p % 100.64/100.80 SZS output start Proof for theBenchmark.p % 100.64/100.80 Clause #7 (by assumption #[]): Eq % 100.64/100.80 (∀ (A B C : Iota), % 100.64/100.80 relation C → % 100.64/100.80 Eq (relation_dom_restriction (relation_rng_restriction A C) B) % 100.64/100.80 (relation_rng_restriction A (relation_dom_restriction C B))) % 100.64/100.80 True % 100.64/100.80 Clause #8 (by assumption #[]): Eq % 100.64/100.80 (∀ (A B : Iota), % 100.64/100.80 relation B → Eq (relation_restriction B A) (relation_dom_restriction (relation_rng_restriction A B) A)) % 100.64/100.80 True % 100.64/100.80 Clause #9 (by assumption #[]): Eq % 100.64/100.80 (Not % 100.64/100.80 (∀ (A B : Iota), % 100.64/100.80 relation B → Eq (relation_restriction B A) (relation_rng_restriction A (relation_dom_restriction B A)))) % 100.64/100.80 True % 100.64/100.80 Clause #25 (by clausification #[8]): ∀ (a : Iota), % 100.64/100.80 Eq % 100.64/100.80 (∀ (B : Iota), % 100.64/100.80 relation B → Eq (relation_restriction B a) (relation_dom_restriction (relation_rng_restriction a B) a)) % 100.64/100.80 True % 100.64/100.80 Clause #26 (by clausification #[25]): ∀ (a a_1 : Iota), % 100.64/100.80 Eq (relation a → Eq (relation_restriction a a_1) (relation_dom_restriction (relation_rng_restriction a_1 a) a_1)) True % 100.64/100.80 Clause #27 (by clausification #[26]): ∀ (a a_1 : Iota), % 100.64/100.80 Or (Eq (relation a) False) % 100.64/100.80 (Eq (Eq (relation_restriction a a_1) (relation_dom_restriction (relation_rng_restriction a_1 a) a_1)) True) % 100.64/100.80 Clause #28 (by clausification #[27]): ∀ (a a_1 : Iota), % 100.64/100.80 Or (Eq (relation a) False) % 100.64/100.80 (Eq (relation_restriction a a_1) (relation_dom_restriction (relation_rng_restriction a_1 a) a_1)) % 100.64/100.80 Clause #33 (by clausification #[9]): Eq % 100.64/100.80 (∀ (A B : Iota), % 100.64/100.80 relation B → Eq (relation_restriction B A) (relation_rng_restriction A (relation_dom_restriction B A))) % 100.64/100.80 False % 100.64/100.80 Clause #34 (by clausification #[33]): ∀ (a : Iota), % 100.64/100.80 Eq % 100.64/100.80 (Not % 100.64/100.80 (∀ (B : Iota), % 100.64/100.80 relation B → % 100.64/100.80 Eq (relation_restriction B (skS.0 0 a)) % 100.64/100.80 (relation_rng_restriction (skS.0 0 a) (relation_dom_restriction B (skS.0 0 a))))) % 100.64/100.80 True % 100.64/100.80 Clause #35 (by clausification #[34]): ∀ (a : Iota), % 100.64/100.80 Eq % 100.64/100.80 (∀ (B : Iota), % 100.64/100.80 relation B → % 100.64/100.80 Eq (relation_restriction B (skS.0 0 a)) % 100.64/100.80 (relation_rng_restriction (skS.0 0 a) (relation_dom_restriction B (skS.0 0 a)))) % 100.64/100.80 False % 100.64/100.80 Clause #36 (by clausification #[35]): ∀ (a a_1 : Iota), % 100.64/100.80 Eq % 100.64/100.80 (Not % 100.64/100.80 (relation (skS.0 1 a a_1) → % 100.64/100.80 Eq (relation_restriction (skS.0 1 a a_1) (skS.0 0 a)) % 100.64/100.80 (relation_rng_restriction (skS.0 0 a) (relation_dom_restriction (skS.0 1 a a_1) (skS.0 0 a))))) % 100.64/100.80 True % 100.64/100.80 Clause #37 (by clausification #[36]): ∀ (a a_1 : Iota), % 100.64/100.80 Eq % 100.64/100.80 (relation (skS.0 1 a a_1) → % 100.64/100.80 Eq (relation_restriction (skS.0 1 a a_1) (skS.0 0 a)) % 100.64/100.80 (relation_rng_restriction (skS.0 0 a) (relation_dom_restriction (skS.0 1 a a_1) (skS.0 0 a)))) % 100.64/100.80 False % 100.64/100.80 Clause #38 (by clausification #[37]): ∀ (a a_1 : Iota), Eq (relation (skS.0 1 a a_1)) True % 100.64/100.80 Clause #39 (by clausification #[37]): ∀ (a a_1 : Iota), % 100.64/100.80 Eq % 100.64/100.80 (Eq (relation_restriction (skS.0 1 a a_1) (skS.0 0 a)) % 100.64/100.80 (relation_rng_restriction (skS.0 0 a) (relation_dom_restriction (skS.0 1 a a_1) (skS.0 0 a)))) % 100.64/100.80 False % 100.64/100.80 Clause #43 (by superposition #[38, 28]): ∀ (a a_1 a_2 : Iota), % 100.64/100.80 Or (Eq True False) % 100.64/100.80 (Eq (relation_restriction (skS.0 1 a a_1) a_2) % 100.64/100.80 (relation_dom_restriction (relation_rng_restriction a_2 (skS.0 1 a a_1)) a_2)) % 100.64/100.80 Clause #57 (by clausification #[7]): ∀ (a : Iota), % 100.64/100.80 Eq % 100.64/100.80 (∀ (B C : Iota), % 100.64/100.80 relation C → % 100.64/100.80 Eq (relation_dom_restriction (relation_rng_restriction a C) B) % 100.64/100.80 (relation_rng_restriction a (relation_dom_restriction C B))) % 100.64/100.80 True % 100.64/100.80 Clause #58 (by clausification #[57]): ∀ (a a_1 : Iota), % 100.64/100.80 Eq % 100.64/100.80 (∀ (C : Iota), % 100.64/100.80 relation C → % 100.64/100.80 Eq (relation_dom_restriction (relation_rng_restriction a C) a_1) % 100.64/100.80 (relation_rng_restriction a (relation_dom_restriction C a_1))) % 100.64/100.80 True % 100.64/100.80 Clause #59 (by clausification #[58]): ∀ (a a_1 a_2 : Iota), % 100.64/100.80 Eq % 100.64/100.80 (relation a → % 100.64/100.80 Eq (relation_dom_restriction (relation_rng_restriction a_1 a) a_2) % 100.64/100.80 (relation_rng_restriction a_1 (relation_dom_restriction a a_2))) % 100.64/100.80 True % 100.64/100.80 Clause #60 (by clausification #[59]): ∀ (a a_1 a_2 : Iota), % 100.64/100.80 Or (Eq (relation a) False) % 100.64/100.80 (Eq % 100.64/100.80 (Eq (relation_dom_restriction (relation_rng_restriction a_1 a) a_2) % 100.67/100.83 (relation_rng_restriction a_1 (relation_dom_restriction a a_2))) % 100.67/100.83 True) % 100.67/100.83 Clause #61 (by clausification #[60]): ∀ (a a_1 a_2 : Iota), % 100.67/100.83 Or (Eq (relation a) False) % 100.67/100.83 (Eq (relation_dom_restriction (relation_rng_restriction a_1 a) a_2) % 100.67/100.83 (relation_rng_restriction a_1 (relation_dom_restriction a a_2))) % 100.67/100.83 Clause #62 (by superposition #[61, 38]): ∀ (a a_1 a_2 a_3 : Iota), % 100.67/100.83 Or % 100.67/100.83 (Eq (relation_dom_restriction (relation_rng_restriction a (skS.0 1 a_1 a_2)) a_3) % 100.67/100.83 (relation_rng_restriction a (relation_dom_restriction (skS.0 1 a_1 a_2) a_3))) % 100.67/100.83 (Eq False True) % 100.67/100.83 Clause #100 (by clausification #[39]): ∀ (a a_1 : Iota), % 100.67/100.83 Ne (relation_restriction (skS.0 1 a a_1) (skS.0 0 a)) % 100.67/100.83 (relation_rng_restriction (skS.0 0 a) (relation_dom_restriction (skS.0 1 a a_1) (skS.0 0 a))) % 100.67/100.83 Clause #136 (by clausification #[43]): ∀ (a a_1 a_2 : Iota), % 100.67/100.83 Eq (relation_restriction (skS.0 1 a a_1) a_2) % 100.67/100.83 (relation_dom_restriction (relation_rng_restriction a_2 (skS.0 1 a a_1)) a_2) % 100.67/100.83 Clause #358 (by clausification #[62]): ∀ (a a_1 a_2 a_3 : Iota), % 100.67/100.83 Eq (relation_dom_restriction (relation_rng_restriction a (skS.0 1 a_1 a_2)) a_3) % 100.67/100.83 (relation_rng_restriction a (relation_dom_restriction (skS.0 1 a_1 a_2) a_3)) % 100.67/100.83 Clause #359 (by backward demodulation #[358, 100]): ∀ (a a_1 : Iota), % 100.67/100.83 Ne (relation_restriction (skS.0 1 a a_1) (skS.0 0 a)) % 100.67/100.83 (relation_dom_restriction (relation_rng_restriction (skS.0 0 a) (skS.0 1 a a_1)) (skS.0 0 a)) % 100.67/100.83 Clause #4587 (by forward demodulation #[359, 136]): ∀ (a a_1 : Iota), % 100.67/100.83 Ne (relation_restriction (skS.0 1 a a_1) (skS.0 0 a)) (relation_restriction (skS.0 1 a a_1) (skS.0 0 a)) % 100.67/100.83 Clause #4588 (by eliminate resolved literals #[4587]): False % 100.67/100.83 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------