%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : SEU736^2 : TPTP v9.2.0. Released v3.7.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n017.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 08:02:19 PM UTC 2025 % Result : Theorem 5.51s 5.69s % Output : Proof 5.58s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : SEU736^2 : TPTP v9.2.0. Released v3.7.0. % 0.03/0.13 % Command : duper %s % 0.13/0.34 % Computer : n017.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 06:26:53 EDT 2025 % 0.13/0.34 % CPUTime : % 5.51/5.69 SZS status Theorem for theBenchmark.p % 5.51/5.69 SZS output start Proof for theBenchmark.p % 5.51/5.69 Clause #0 (by assumption #[]): Eq (Eq setminusI (∀ (A B Xx : Iota), in Xx A → Not (in Xx B) → in Xx (setminus A B))) True % 5.51/5.69 Clause #1 (by assumption #[]): Eq % 5.51/5.69 (Eq contrasubsetT % 5.51/5.69 (∀ (A X : Iota), % 5.51/5.69 in X (powerset A) → % 5.51/5.69 ∀ (Y : Iota), in Y (powerset A) → ∀ (Xx : Iota), in Xx A → subset X (setminus A Y) → in Xx Y → Not (in Xx X))) % 5.51/5.69 True % 5.51/5.69 Clause #2 (by assumption #[]): Eq % 5.51/5.69 (Not % 5.51/5.69 (setminusI → % 5.51/5.69 contrasubsetT → % 5.51/5.69 ∀ (A X : Iota), % 5.51/5.69 in X (powerset A) → % 5.51/5.69 ∀ (Y : Iota), % 5.51/5.69 in Y (powerset A) → subset X (setminus A Y) → ∀ (Xx : Iota), in Xx A → in Xx Y → in Xx (setminus A X))) % 5.51/5.69 True % 5.51/5.69 Clause #3 (by clausification #[0]): Eq setminusI (∀ (A B Xx : Iota), in Xx A → Not (in Xx B) → in Xx (setminus A B)) % 5.51/5.69 Clause #21 (by clausification #[1]): Eq contrasubsetT % 5.51/5.69 (∀ (A X : Iota), % 5.51/5.69 in X (powerset A) → % 5.51/5.69 ∀ (Y : Iota), in Y (powerset A) → ∀ (Xx : Iota), in Xx A → subset X (setminus A Y) → in Xx Y → Not (in Xx X)) % 5.51/5.69 Clause #25 (by clausification #[2]): Eq % 5.51/5.69 (setminusI → % 5.51/5.69 contrasubsetT → % 5.51/5.69 ∀ (A X : Iota), % 5.51/5.69 in X (powerset A) → % 5.51/5.69 ∀ (Y : Iota), % 5.51/5.69 in Y (powerset A) → subset X (setminus A Y) → ∀ (Xx : Iota), in Xx A → in Xx Y → in Xx (setminus A X)) % 5.51/5.69 False % 5.51/5.69 Clause #26 (by clausification #[25]): Eq setminusI True % 5.51/5.69 Clause #27 (by clausification #[25]): Eq % 5.51/5.69 (contrasubsetT → % 5.51/5.69 ∀ (A X : Iota), % 5.51/5.69 in X (powerset A) → % 5.51/5.69 ∀ (Y : Iota), % 5.51/5.69 in Y (powerset A) → subset X (setminus A Y) → ∀ (Xx : Iota), in Xx A → in Xx Y → in Xx (setminus A X)) % 5.51/5.69 False % 5.51/5.69 Clause #28 (by backward demodulation #[26, 3]): Eq True (∀ (A B Xx : Iota), in Xx A → Not (in Xx B) → in Xx (setminus A B)) % 5.51/5.69 Clause #31 (by clausification #[28]): ∀ (a : Iota), Eq (∀ (B Xx : Iota), in Xx a → Not (in Xx B) → in Xx (setminus a B)) True % 5.51/5.69 Clause #32 (by clausification #[31]): ∀ (a a_1 : Iota), Eq (∀ (Xx : Iota), in Xx a → Not (in Xx a_1) → in Xx (setminus a a_1)) True % 5.51/5.69 Clause #33 (by clausification #[32]): ∀ (a a_1 a_2 : Iota), Eq (in a a_1 → Not (in a a_2) → in a (setminus a_1 a_2)) True % 5.51/5.69 Clause #34 (by clausification #[33]): ∀ (a a_1 a_2 : Iota), Or (Eq (in a a_1) False) (Eq (Not (in a a_2) → in a (setminus a_1 a_2)) True) % 5.51/5.69 Clause #35 (by clausification #[34]): ∀ (a a_1 a_2 : Iota), Or (Eq (in a a_1) False) (Or (Eq (Not (in a a_2)) False) (Eq (in a (setminus a_1 a_2)) True)) % 5.51/5.69 Clause #36 (by clausification #[35]): ∀ (a a_1 a_2 : Iota), Or (Eq (in a a_1) False) (Or (Eq (in a (setminus a_1 a_2)) True) (Eq (in a a_2) True)) % 5.51/5.69 Clause #37 (by clausification #[27]): Eq contrasubsetT True % 5.51/5.69 Clause #38 (by clausification #[27]): Eq % 5.51/5.69 (∀ (A X : Iota), % 5.51/5.69 in X (powerset A) → % 5.51/5.69 ∀ (Y : Iota), % 5.51/5.69 in Y (powerset A) → subset X (setminus A Y) → ∀ (Xx : Iota), in Xx A → in Xx Y → in Xx (setminus A X)) % 5.51/5.69 False % 5.51/5.69 Clause #39 (by backward demodulation #[37, 21]): Eq True % 5.51/5.69 (∀ (A X : Iota), % 5.51/5.69 in X (powerset A) → % 5.51/5.69 ∀ (Y : Iota), in Y (powerset A) → ∀ (Xx : Iota), in Xx A → subset X (setminus A Y) → in Xx Y → Not (in Xx X)) % 5.51/5.69 Clause #40 (by clausification #[39]): ∀ (a : Iota), % 5.51/5.69 Eq % 5.51/5.69 (∀ (X : Iota), % 5.51/5.69 in X (powerset a) → % 5.51/5.69 ∀ (Y : Iota), in Y (powerset a) → ∀ (Xx : Iota), in Xx a → subset X (setminus a Y) → in Xx Y → Not (in Xx X)) % 5.51/5.69 True % 5.51/5.69 Clause #41 (by clausification #[40]): ∀ (a a_1 : Iota), % 5.51/5.69 Eq % 5.51/5.69 (in a (powerset a_1) → % 5.51/5.69 ∀ (Y : Iota), % 5.51/5.69 in Y (powerset a_1) → ∀ (Xx : Iota), in Xx a_1 → subset a (setminus a_1 Y) → in Xx Y → Not (in Xx a)) % 5.51/5.69 True % 5.51/5.69 Clause #42 (by clausification #[41]): ∀ (a a_1 : Iota), % 5.51/5.69 Or (Eq (in a (powerset a_1)) False) % 5.51/5.69 (Eq % 5.51/5.69 (∀ (Y : Iota), % 5.51/5.69 in Y (powerset a_1) → ∀ (Xx : Iota), in Xx a_1 → subset a (setminus a_1 Y) → in Xx Y → Not (in Xx a)) % 5.51/5.69 True) % 5.51/5.69 Clause #43 (by clausification #[42]): ∀ (a a_1 a_2 : Iota), % 5.51/5.69 Or (Eq (in a (powerset a_1)) False) % 5.51/5.69 (Eq (in a_2 (powerset a_1) → ∀ (Xx : Iota), in Xx a_1 → subset a (setminus a_1 a_2) → in Xx a_2 → Not (in Xx a)) % 5.55/5.72 True) % 5.55/5.72 Clause #44 (by clausification #[43]): ∀ (a a_1 a_2 : Iota), % 5.55/5.72 Or (Eq (in a (powerset a_1)) False) % 5.55/5.72 (Or (Eq (in a_2 (powerset a_1)) False) % 5.55/5.72 (Eq (∀ (Xx : Iota), in Xx a_1 → subset a (setminus a_1 a_2) → in Xx a_2 → Not (in Xx a)) True)) % 5.55/5.72 Clause #45 (by clausification #[44]): ∀ (a a_1 a_2 a_3 : Iota), % 5.55/5.72 Or (Eq (in a (powerset a_1)) False) % 5.55/5.72 (Or (Eq (in a_2 (powerset a_1)) False) % 5.55/5.72 (Eq (in a_3 a_1 → subset a (setminus a_1 a_2) → in a_3 a_2 → Not (in a_3 a)) True)) % 5.55/5.72 Clause #46 (by clausification #[45]): ∀ (a a_1 a_2 a_3 : Iota), % 5.55/5.72 Or (Eq (in a (powerset a_1)) False) % 5.55/5.72 (Or (Eq (in a_2 (powerset a_1)) False) % 5.55/5.72 (Or (Eq (in a_3 a_1) False) (Eq (subset a (setminus a_1 a_2) → in a_3 a_2 → Not (in a_3 a)) True))) % 5.55/5.72 Clause #47 (by clausification #[46]): ∀ (a a_1 a_2 a_3 : Iota), % 5.55/5.72 Or (Eq (in a (powerset a_1)) False) % 5.55/5.72 (Or (Eq (in a_2 (powerset a_1)) False) % 5.55/5.72 (Or (Eq (in a_3 a_1) False) % 5.55/5.72 (Or (Eq (subset a (setminus a_1 a_2)) False) (Eq (in a_3 a_2 → Not (in a_3 a)) True)))) % 5.55/5.72 Clause #48 (by clausification #[47]): ∀ (a a_1 a_2 a_3 : Iota), % 5.55/5.72 Or (Eq (in a (powerset a_1)) False) % 5.55/5.72 (Or (Eq (in a_2 (powerset a_1)) False) % 5.55/5.72 (Or (Eq (in a_3 a_1) False) % 5.55/5.72 (Or (Eq (subset a (setminus a_1 a_2)) False) (Or (Eq (in a_3 a_2) False) (Eq (Not (in a_3 a)) True))))) % 5.55/5.72 Clause #49 (by clausification #[48]): ∀ (a a_1 a_2 a_3 : Iota), % 5.55/5.72 Or (Eq (in a (powerset a_1)) False) % 5.55/5.72 (Or (Eq (in a_2 (powerset a_1)) False) % 5.55/5.72 (Or (Eq (in a_3 a_1) False) % 5.55/5.72 (Or (Eq (subset a (setminus a_1 a_2)) False) (Or (Eq (in a_3 a_2) False) (Eq (in a_3 a) False))))) % 5.55/5.72 Clause #50 (by clausification #[38]): ∀ (a : Iota), % 5.55/5.72 Eq % 5.55/5.72 (Not % 5.55/5.72 (∀ (X : Iota), % 5.55/5.72 in X (powerset (skS.0 3 a)) → % 5.55/5.72 ∀ (Y : Iota), % 5.55/5.72 in Y (powerset (skS.0 3 a)) → % 5.55/5.72 subset X (setminus (skS.0 3 a) Y) → % 5.55/5.72 ∀ (Xx : Iota), in Xx (skS.0 3 a) → in Xx Y → in Xx (setminus (skS.0 3 a) X))) % 5.55/5.72 True % 5.55/5.72 Clause #51 (by clausification #[50]): ∀ (a : Iota), % 5.55/5.72 Eq % 5.55/5.72 (∀ (X : Iota), % 5.55/5.72 in X (powerset (skS.0 3 a)) → % 5.55/5.72 ∀ (Y : Iota), % 5.55/5.72 in Y (powerset (skS.0 3 a)) → % 5.55/5.72 subset X (setminus (skS.0 3 a) Y) → % 5.55/5.72 ∀ (Xx : Iota), in Xx (skS.0 3 a) → in Xx Y → in Xx (setminus (skS.0 3 a) X)) % 5.55/5.72 False % 5.55/5.72 Clause #52 (by clausification #[51]): ∀ (a a_1 : Iota), % 5.55/5.72 Eq % 5.55/5.72 (Not % 5.55/5.72 (in (skS.0 4 a a_1) (powerset (skS.0 3 a)) → % 5.55/5.72 ∀ (Y : Iota), % 5.55/5.72 in Y (powerset (skS.0 3 a)) → % 5.55/5.72 subset (skS.0 4 a a_1) (setminus (skS.0 3 a) Y) → % 5.55/5.72 ∀ (Xx : Iota), in Xx (skS.0 3 a) → in Xx Y → in Xx (setminus (skS.0 3 a) (skS.0 4 a a_1)))) % 5.55/5.72 True % 5.55/5.72 Clause #53 (by clausification #[52]): ∀ (a a_1 : Iota), % 5.55/5.72 Eq % 5.55/5.72 (in (skS.0 4 a a_1) (powerset (skS.0 3 a)) → % 5.55/5.72 ∀ (Y : Iota), % 5.55/5.72 in Y (powerset (skS.0 3 a)) → % 5.55/5.72 subset (skS.0 4 a a_1) (setminus (skS.0 3 a) Y) → % 5.55/5.72 ∀ (Xx : Iota), in Xx (skS.0 3 a) → in Xx Y → in Xx (setminus (skS.0 3 a) (skS.0 4 a a_1))) % 5.55/5.72 False % 5.55/5.72 Clause #54 (by clausification #[53]): ∀ (a a_1 : Iota), Eq (in (skS.0 4 a a_1) (powerset (skS.0 3 a))) True % 5.55/5.72 Clause #55 (by clausification #[53]): ∀ (a a_1 : Iota), % 5.55/5.72 Eq % 5.55/5.72 (∀ (Y : Iota), % 5.55/5.72 in Y (powerset (skS.0 3 a)) → % 5.55/5.72 subset (skS.0 4 a a_1) (setminus (skS.0 3 a) Y) → % 5.55/5.72 ∀ (Xx : Iota), in Xx (skS.0 3 a) → in Xx Y → in Xx (setminus (skS.0 3 a) (skS.0 4 a a_1))) % 5.55/5.72 False % 5.55/5.72 Clause #56 (by superposition #[54, 49]): ∀ (a a_1 a_2 a_3 : Iota), % 5.55/5.72 Or (Eq True False) % 5.55/5.72 (Or (Eq (in a (powerset (skS.0 3 a_1))) False) % 5.55/5.72 (Or (Eq (in a_2 (skS.0 3 a_1)) False) % 5.55/5.72 (Or (Eq (subset (skS.0 4 a_1 a_3) (setminus (skS.0 3 a_1) a)) False) % 5.55/5.72 (Or (Eq (in a_2 a) False) (Eq (in a_2 (skS.0 4 a_1 a_3)) False))))) % 5.55/5.72 Clause #85 (by clausification #[55]): ∀ (a a_1 a_2 : Iota), % 5.55/5.72 Eq % 5.55/5.72 (Not % 5.55/5.72 (in (skS.0 8 a a_1 a_2) (powerset (skS.0 3 a)) → % 5.55/5.72 subset (skS.0 4 a a_1) (setminus (skS.0 3 a) (skS.0 8 a a_1 a_2)) → % 5.58/5.74 ∀ (Xx : Iota), in Xx (skS.0 3 a) → in Xx (skS.0 8 a a_1 a_2) → in Xx (setminus (skS.0 3 a) (skS.0 4 a a_1)))) % 5.58/5.74 True % 5.58/5.74 Clause #86 (by clausification #[85]): ∀ (a a_1 a_2 : Iota), % 5.58/5.74 Eq % 5.58/5.74 (in (skS.0 8 a a_1 a_2) (powerset (skS.0 3 a)) → % 5.58/5.74 subset (skS.0 4 a a_1) (setminus (skS.0 3 a) (skS.0 8 a a_1 a_2)) → % 5.58/5.74 ∀ (Xx : Iota), in Xx (skS.0 3 a) → in Xx (skS.0 8 a a_1 a_2) → in Xx (setminus (skS.0 3 a) (skS.0 4 a a_1))) % 5.58/5.74 False % 5.58/5.74 Clause #87 (by clausification #[86]): ∀ (a a_1 a_2 : Iota), Eq (in (skS.0 8 a a_1 a_2) (powerset (skS.0 3 a))) True % 5.58/5.74 Clause #88 (by clausification #[86]): ∀ (a a_1 a_2 : Iota), % 5.58/5.74 Eq % 5.58/5.74 (subset (skS.0 4 a a_1) (setminus (skS.0 3 a) (skS.0 8 a a_1 a_2)) → % 5.58/5.74 ∀ (Xx : Iota), in Xx (skS.0 3 a) → in Xx (skS.0 8 a a_1 a_2) → in Xx (setminus (skS.0 3 a) (skS.0 4 a a_1))) % 5.58/5.74 False % 5.58/5.74 Clause #96 (by clausification #[88]): ∀ (a a_1 a_2 : Iota), Eq (subset (skS.0 4 a a_1) (setminus (skS.0 3 a) (skS.0 8 a a_1 a_2))) True % 5.58/5.74 Clause #97 (by clausification #[88]): ∀ (a a_1 a_2 : Iota), % 5.58/5.74 Eq (∀ (Xx : Iota), in Xx (skS.0 3 a) → in Xx (skS.0 8 a a_1 a_2) → in Xx (setminus (skS.0 3 a) (skS.0 4 a a_1))) False % 5.58/5.74 Clause #98 (by clausification #[97]): ∀ (a a_1 a_2 a_3 : Iota), % 5.58/5.74 Eq % 5.58/5.74 (Not % 5.58/5.74 (in (skS.0 10 a a_1 a_2 a_3) (skS.0 3 a) → % 5.58/5.74 in (skS.0 10 a a_1 a_2 a_3) (skS.0 8 a a_1 a_2) → % 5.58/5.74 in (skS.0 10 a a_1 a_2 a_3) (setminus (skS.0 3 a) (skS.0 4 a a_1)))) % 5.58/5.74 True % 5.58/5.74 Clause #99 (by clausification #[98]): ∀ (a a_1 a_2 a_3 : Iota), % 5.58/5.74 Eq % 5.58/5.74 (in (skS.0 10 a a_1 a_2 a_3) (skS.0 3 a) → % 5.58/5.74 in (skS.0 10 a a_1 a_2 a_3) (skS.0 8 a a_1 a_2) → % 5.58/5.74 in (skS.0 10 a a_1 a_2 a_3) (setminus (skS.0 3 a) (skS.0 4 a a_1))) % 5.58/5.74 False % 5.58/5.74 Clause #100 (by clausification #[99]): ∀ (a a_1 a_2 a_3 : Iota), Eq (in (skS.0 10 a a_1 a_2 a_3) (skS.0 3 a)) True % 5.58/5.74 Clause #101 (by clausification #[99]): ∀ (a a_1 a_2 a_3 : Iota), % 5.58/5.74 Eq % 5.58/5.74 (in (skS.0 10 a a_1 a_2 a_3) (skS.0 8 a a_1 a_2) → % 5.58/5.74 in (skS.0 10 a a_1 a_2 a_3) (setminus (skS.0 3 a) (skS.0 4 a a_1))) % 5.58/5.74 False % 5.58/5.74 Clause #102 (by superposition #[100, 36]): ∀ (a a_1 a_2 a_3 a_4 : Iota), % 5.58/5.74 Or (Eq True False) % 5.58/5.74 (Or (Eq (in (skS.0 10 a a_1 a_2 a_3) (setminus (skS.0 3 a) a_4)) True) (Eq (in (skS.0 10 a a_1 a_2 a_3) a_4) True)) % 5.58/5.74 Clause #109 (by clausification #[56]): ∀ (a a_1 a_2 a_3 : Iota), % 5.58/5.74 Or (Eq (in a (powerset (skS.0 3 a_1))) False) % 5.58/5.74 (Or (Eq (in a_2 (skS.0 3 a_1)) False) % 5.58/5.74 (Or (Eq (subset (skS.0 4 a_1 a_3) (setminus (skS.0 3 a_1) a)) False) % 5.58/5.74 (Or (Eq (in a_2 a) False) (Eq (in a_2 (skS.0 4 a_1 a_3)) False)))) % 5.58/5.74 Clause #111 (by superposition #[109, 87]): ∀ (a a_1 a_2 a_3 a_4 : Iota), % 5.58/5.74 Or (Eq (in a (skS.0 3 a_1)) False) % 5.58/5.74 (Or (Eq (subset (skS.0 4 a_1 a_2) (setminus (skS.0 3 a_1) (skS.0 8 a_1 a_3 a_4))) False) % 5.58/5.74 (Or (Eq (in a (skS.0 8 a_1 a_3 a_4)) False) (Or (Eq (in a (skS.0 4 a_1 a_2)) False) (Eq False True)))) % 5.58/5.74 Clause #115 (by clausification #[101]): ∀ (a a_1 a_2 a_3 : Iota), Eq (in (skS.0 10 a a_1 a_2 a_3) (skS.0 8 a a_1 a_2)) True % 5.58/5.74 Clause #116 (by clausification #[101]): ∀ (a a_1 a_2 a_3 : Iota), Eq (in (skS.0 10 a a_1 a_2 a_3) (setminus (skS.0 3 a) (skS.0 4 a a_1))) False % 5.58/5.74 Clause #125 (by clausification #[102]): ∀ (a a_1 a_2 a_3 a_4 : Iota), % 5.58/5.74 Or (Eq (in (skS.0 10 a a_1 a_2 a_3) (setminus (skS.0 3 a) a_4)) True) (Eq (in (skS.0 10 a a_1 a_2 a_3) a_4) True) % 5.58/5.74 Clause #126 (by superposition #[125, 116]): ∀ (a a_1 a_2 a_3 : Iota), Or (Eq (in (skS.0 10 a a_1 a_2 a_3) (skS.0 4 a a_1)) True) (Eq True False) % 5.58/5.74 Clause #128 (by clausification #[126]): ∀ (a a_1 a_2 a_3 : Iota), Eq (in (skS.0 10 a a_1 a_2 a_3) (skS.0 4 a a_1)) True % 5.58/5.74 Clause #146 (by clausification #[111]): ∀ (a a_1 a_2 a_3 a_4 : Iota), % 5.58/5.74 Or (Eq (in a (skS.0 3 a_1)) False) % 5.58/5.74 (Or (Eq (subset (skS.0 4 a_1 a_2) (setminus (skS.0 3 a_1) (skS.0 8 a_1 a_3 a_4))) False) % 5.58/5.74 (Or (Eq (in a (skS.0 8 a_1 a_3 a_4)) False) (Eq (in a (skS.0 4 a_1 a_2)) False))) % 5.58/5.74 Clause #147 (by superposition #[146, 100]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota), % 5.58/5.74 Or (Eq (subset (skS.0 4 a a_1) (setminus (skS.0 3 a) (skS.0 8 a a_2 a_3))) False) % 5.58/5.75 (Or (Eq (in (skS.0 10 a a_4 a_5 a_6) (skS.0 8 a a_2 a_3)) False) % 5.58/5.75 (Or (Eq (in (skS.0 10 a a_4 a_5 a_6) (skS.0 4 a a_1)) False) (Eq False True))) % 5.58/5.75 Clause #161 (by clausification #[147]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota), % 5.58/5.75 Or (Eq (subset (skS.0 4 a a_1) (setminus (skS.0 3 a) (skS.0 8 a a_2 a_3))) False) % 5.58/5.75 (Or (Eq (in (skS.0 10 a a_4 a_5 a_6) (skS.0 8 a a_2 a_3)) False) % 5.58/5.75 (Eq (in (skS.0 10 a a_4 a_5 a_6) (skS.0 4 a a_1)) False)) % 5.58/5.75 Clause #162 (by superposition #[161, 96]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota), % 5.58/5.75 Or (Eq (in (skS.0 10 a a_1 a_2 a_3) (skS.0 8 a a_4 a_5)) False) % 5.58/5.75 (Or (Eq (in (skS.0 10 a a_1 a_2 a_3) (skS.0 4 a a_4)) False) (Eq False True)) % 5.58/5.75 Clause #163 (by clausification #[162]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota), % 5.58/5.75 Or (Eq (in (skS.0 10 a a_1 a_2 a_3) (skS.0 8 a a_4 a_5)) False) % 5.58/5.75 (Eq (in (skS.0 10 a a_1 a_2 a_3) (skS.0 4 a a_4)) False) % 5.58/5.75 Clause #164 (by superposition #[163, 115]): ∀ (a a_1 a_2 a_3 : Iota), Or (Eq (in (skS.0 10 a a_1 a_2 a_3) (skS.0 4 a a_1)) False) (Eq False True) % 5.58/5.75 Clause #165 (by clausification #[164]): ∀ (a a_1 a_2 a_3 : Iota), Eq (in (skS.0 10 a a_1 a_2 a_3) (skS.0 4 a a_1)) False % 5.58/5.75 Clause #166 (by superposition #[165, 128]): Eq False True % 5.58/5.75 Clause #167 (by clausification #[166]): False % 5.58/5.75 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------