%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : SEU750^2 : TPTP v9.2.0. Released v3.7.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n026.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 08:02:21 PM UTC 2025 % Result : Theorem 5.09s 5.28s % Output : Proof 5.17s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.09/0.12 % Problem : SEU750^2 : TPTP v9.2.0. Released v3.7.0. % 0.09/0.13 % Command : duper %s % 0.13/0.34 % Computer : n026.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 04:33:38 EDT 2025 % 0.13/0.34 % CPUTime : % 5.09/5.28 SZS status Theorem for theBenchmark.p % 5.09/5.28 SZS output start Proof for theBenchmark.p % 5.09/5.28 Clause #0 (by assumption #[]): Eq (Eq setminusI (∀ (A B Xx : Iota), in Xx A → Not (in Xx B) → in Xx (setminus A B))) True % 5.09/5.28 Clause #1 (by assumption #[]): Eq (Eq setminusER (∀ (A B Xx : Iota), in Xx (setminus A B) → Not (in Xx B))) True % 5.09/5.28 Clause #2 (by assumption #[]): Eq % 5.09/5.28 (Eq binunionTIRcontra % 5.09/5.28 (∀ (A X : Iota), % 5.09/5.28 in X (powerset A) → % 5.09/5.28 ∀ (Y : Iota), in Y (powerset A) → ∀ (Xx : Iota), in Xx A → Not (in Xx (binunion X Y)) → Not (in Xx Y))) % 5.09/5.28 True % 5.09/5.28 Clause #3 (by assumption #[]): Eq % 5.09/5.28 (Not % 5.09/5.28 (setminusI → % 5.09/5.28 setminusER → % 5.09/5.28 binunionTIRcontra → % 5.09/5.28 ∀ (A X : Iota), % 5.09/5.28 in X (powerset A) → % 5.09/5.28 ∀ (Y : Iota), % 5.09/5.28 in Y (powerset A) → ∀ (Xx : Iota), in Xx A → in Xx (setminus A (binunion X Y)) → in Xx (setminus A Y))) % 5.09/5.28 True % 5.09/5.28 Clause #4 (by clausification #[1]): Eq setminusER (∀ (A B Xx : Iota), in Xx (setminus A B) → Not (in Xx B)) % 5.09/5.28 Clause #21 (by clausification #[0]): Eq setminusI (∀ (A B Xx : Iota), in Xx A → Not (in Xx B) → in Xx (setminus A B)) % 5.09/5.28 Clause #25 (by clausification #[2]): Eq binunionTIRcontra % 5.09/5.28 (∀ (A X : Iota), % 5.09/5.28 in X (powerset A) → % 5.09/5.28 ∀ (Y : Iota), in Y (powerset A) → ∀ (Xx : Iota), in Xx A → Not (in Xx (binunion X Y)) → Not (in Xx Y)) % 5.09/5.28 Clause #53 (by clausification #[3]): Eq % 5.09/5.28 (setminusI → % 5.09/5.28 setminusER → % 5.09/5.28 binunionTIRcontra → % 5.09/5.28 ∀ (A X : Iota), % 5.09/5.28 in X (powerset A) → % 5.09/5.28 ∀ (Y : Iota), % 5.09/5.28 in Y (powerset A) → ∀ (Xx : Iota), in Xx A → in Xx (setminus A (binunion X Y)) → in Xx (setminus A Y)) % 5.09/5.28 False % 5.09/5.28 Clause #54 (by clausification #[53]): Eq setminusI True % 5.09/5.28 Clause #55 (by clausification #[53]): Eq % 5.09/5.28 (setminusER → % 5.09/5.28 binunionTIRcontra → % 5.09/5.28 ∀ (A X : Iota), % 5.09/5.28 in X (powerset A) → % 5.09/5.28 ∀ (Y : Iota), % 5.09/5.28 in Y (powerset A) → ∀ (Xx : Iota), in Xx A → in Xx (setminus A (binunion X Y)) → in Xx (setminus A Y)) % 5.09/5.28 False % 5.09/5.28 Clause #56 (by backward demodulation #[54, 21]): Eq True (∀ (A B Xx : Iota), in Xx A → Not (in Xx B) → in Xx (setminus A B)) % 5.09/5.28 Clause #59 (by clausification #[56]): ∀ (a : Iota), Eq (∀ (B Xx : Iota), in Xx a → Not (in Xx B) → in Xx (setminus a B)) True % 5.09/5.28 Clause #60 (by clausification #[59]): ∀ (a a_1 : Iota), Eq (∀ (Xx : Iota), in Xx a → Not (in Xx a_1) → in Xx (setminus a a_1)) True % 5.09/5.28 Clause #61 (by clausification #[60]): ∀ (a a_1 a_2 : Iota), Eq (in a a_1 → Not (in a a_2) → in a (setminus a_1 a_2)) True % 5.09/5.28 Clause #62 (by clausification #[61]): ∀ (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) % 5.09/5.28 Clause #63 (by clausification #[62]): ∀ (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)) % 5.09/5.28 Clause #64 (by clausification #[63]): ∀ (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)) % 5.09/5.28 Clause #78 (by clausification #[55]): Eq setminusER True % 5.09/5.28 Clause #79 (by clausification #[55]): Eq % 5.09/5.28 (binunionTIRcontra → % 5.09/5.28 ∀ (A X : Iota), % 5.09/5.28 in X (powerset A) → % 5.09/5.28 ∀ (Y : Iota), % 5.09/5.28 in Y (powerset A) → ∀ (Xx : Iota), in Xx A → in Xx (setminus A (binunion X Y)) → in Xx (setminus A Y)) % 5.09/5.28 False % 5.09/5.28 Clause #80 (by backward demodulation #[78, 4]): Eq True (∀ (A B Xx : Iota), in Xx (setminus A B) → Not (in Xx B)) % 5.09/5.28 Clause #83 (by clausification #[80]): ∀ (a : Iota), Eq (∀ (B Xx : Iota), in Xx (setminus a B) → Not (in Xx B)) True % 5.09/5.28 Clause #84 (by clausification #[83]): ∀ (a a_1 : Iota), Eq (∀ (Xx : Iota), in Xx (setminus a a_1) → Not (in Xx a_1)) True % 5.09/5.28 Clause #85 (by clausification #[84]): ∀ (a a_1 a_2 : Iota), Eq (in a (setminus a_1 a_2) → Not (in a a_2)) True % 5.09/5.28 Clause #86 (by clausification #[85]): ∀ (a a_1 a_2 : Iota), Or (Eq (in a (setminus a_1 a_2)) False) (Eq (Not (in a a_2)) True) % 5.09/5.28 Clause #87 (by clausification #[86]): ∀ (a a_1 a_2 : Iota), Or (Eq (in a (setminus a_1 a_2)) False) (Eq (in a a_2) False) % 5.09/5.28 Clause #90 (by clausification #[79]): Eq binunionTIRcontra True % 5.17/5.31 Clause #91 (by clausification #[79]): Eq % 5.17/5.31 (∀ (A X : Iota), % 5.17/5.31 in X (powerset A) → % 5.17/5.31 ∀ (Y : Iota), % 5.17/5.31 in Y (powerset A) → ∀ (Xx : Iota), in Xx A → in Xx (setminus A (binunion X Y)) → in Xx (setminus A Y)) % 5.17/5.31 False % 5.17/5.31 Clause #92 (by backward demodulation #[90, 25]): Eq True % 5.17/5.31 (∀ (A X : Iota), % 5.17/5.31 in X (powerset A) → % 5.17/5.31 ∀ (Y : Iota), in Y (powerset A) → ∀ (Xx : Iota), in Xx A → Not (in Xx (binunion X Y)) → Not (in Xx Y)) % 5.17/5.31 Clause #96 (by clausification #[92]): ∀ (a : Iota), % 5.17/5.31 Eq % 5.17/5.31 (∀ (X : Iota), % 5.17/5.31 in X (powerset a) → % 5.17/5.31 ∀ (Y : Iota), in Y (powerset a) → ∀ (Xx : Iota), in Xx a → Not (in Xx (binunion X Y)) → Not (in Xx Y)) % 5.17/5.31 True % 5.17/5.31 Clause #97 (by clausification #[96]): ∀ (a a_1 : Iota), % 5.17/5.31 Eq % 5.17/5.31 (in a (powerset a_1) → % 5.17/5.31 ∀ (Y : Iota), in Y (powerset a_1) → ∀ (Xx : Iota), in Xx a_1 → Not (in Xx (binunion a Y)) → Not (in Xx Y)) % 5.17/5.31 True % 5.17/5.31 Clause #98 (by clausification #[97]): ∀ (a a_1 : Iota), % 5.17/5.31 Or (Eq (in a (powerset a_1)) False) % 5.17/5.31 (Eq (∀ (Y : Iota), in Y (powerset a_1) → ∀ (Xx : Iota), in Xx a_1 → Not (in Xx (binunion a Y)) → Not (in Xx Y)) % 5.17/5.31 True) % 5.17/5.31 Clause #99 (by clausification #[98]): ∀ (a a_1 a_2 : Iota), % 5.17/5.31 Or (Eq (in a (powerset a_1)) False) % 5.17/5.31 (Eq (in a_2 (powerset a_1) → ∀ (Xx : Iota), in Xx a_1 → Not (in Xx (binunion a a_2)) → Not (in Xx a_2)) True) % 5.17/5.31 Clause #100 (by clausification #[99]): ∀ (a a_1 a_2 : Iota), % 5.17/5.31 Or (Eq (in a (powerset a_1)) False) % 5.17/5.31 (Or (Eq (in a_2 (powerset a_1)) False) % 5.17/5.31 (Eq (∀ (Xx : Iota), in Xx a_1 → Not (in Xx (binunion a a_2)) → Not (in Xx a_2)) True)) % 5.17/5.31 Clause #101 (by clausification #[100]): ∀ (a a_1 a_2 a_3 : Iota), % 5.17/5.31 Or (Eq (in a (powerset a_1)) False) % 5.17/5.31 (Or (Eq (in a_2 (powerset a_1)) False) (Eq (in a_3 a_1 → Not (in a_3 (binunion a a_2)) → Not (in a_3 a_2)) True)) % 5.17/5.31 Clause #102 (by clausification #[101]): ∀ (a a_1 a_2 a_3 : Iota), % 5.17/5.31 Or (Eq (in a (powerset a_1)) False) % 5.17/5.31 (Or (Eq (in a_2 (powerset a_1)) False) % 5.17/5.31 (Or (Eq (in a_3 a_1) False) (Eq (Not (in a_3 (binunion a a_2)) → Not (in a_3 a_2)) True))) % 5.17/5.31 Clause #103 (by clausification #[102]): ∀ (a a_1 a_2 a_3 : Iota), % 5.17/5.31 Or (Eq (in a (powerset a_1)) False) % 5.17/5.31 (Or (Eq (in a_2 (powerset a_1)) False) % 5.17/5.31 (Or (Eq (in a_3 a_1) False) (Or (Eq (Not (in a_3 (binunion a a_2))) False) (Eq (Not (in a_3 a_2)) True)))) % 5.17/5.31 Clause #104 (by clausification #[103]): ∀ (a a_1 a_2 a_3 : Iota), % 5.17/5.31 Or (Eq (in a (powerset a_1)) False) % 5.17/5.31 (Or (Eq (in a_2 (powerset a_1)) False) % 5.17/5.31 (Or (Eq (in a_3 a_1) False) (Or (Eq (Not (in a_3 a_2)) True) (Eq (in a_3 (binunion a a_2)) True)))) % 5.17/5.31 Clause #105 (by clausification #[104]): ∀ (a a_1 a_2 a_3 : Iota), % 5.17/5.31 Or (Eq (in a (powerset a_1)) False) % 5.17/5.31 (Or (Eq (in a_2 (powerset a_1)) False) % 5.17/5.31 (Or (Eq (in a_3 a_1) False) (Or (Eq (in a_3 (binunion a a_2)) True) (Eq (in a_3 a_2) False)))) % 5.17/5.31 Clause #106 (by clausification #[91]): ∀ (a : Iota), % 5.17/5.31 Eq % 5.17/5.31 (Not % 5.17/5.31 (∀ (X : Iota), % 5.17/5.31 in X (powerset (skS.0 9 a)) → % 5.17/5.31 ∀ (Y : Iota), % 5.17/5.31 in Y (powerset (skS.0 9 a)) → % 5.17/5.31 ∀ (Xx : Iota), % 5.17/5.31 in Xx (skS.0 9 a) → in Xx (setminus (skS.0 9 a) (binunion X Y)) → in Xx (setminus (skS.0 9 a) Y))) % 5.17/5.31 True % 5.17/5.31 Clause #107 (by clausification #[106]): ∀ (a : Iota), % 5.17/5.31 Eq % 5.17/5.31 (∀ (X : Iota), % 5.17/5.31 in X (powerset (skS.0 9 a)) → % 5.17/5.31 ∀ (Y : Iota), % 5.17/5.31 in Y (powerset (skS.0 9 a)) → % 5.17/5.31 ∀ (Xx : Iota), % 5.17/5.31 in Xx (skS.0 9 a) → in Xx (setminus (skS.0 9 a) (binunion X Y)) → in Xx (setminus (skS.0 9 a) Y)) % 5.17/5.31 False % 5.17/5.31 Clause #108 (by clausification #[107]): ∀ (a a_1 : Iota), % 5.17/5.31 Eq % 5.17/5.31 (Not % 5.17/5.31 (in (skS.0 10 a a_1) (powerset (skS.0 9 a)) → % 5.17/5.31 ∀ (Y : Iota), % 5.17/5.31 in Y (powerset (skS.0 9 a)) → % 5.17/5.31 ∀ (Xx : Iota), % 5.17/5.31 in Xx (skS.0 9 a) → % 5.17/5.31 in Xx (setminus (skS.0 9 a) (binunion (skS.0 10 a a_1) Y)) → in Xx (setminus (skS.0 9 a) Y))) % 5.17/5.31 True % 5.17/5.31 Clause #109 (by clausification #[108]): ∀ (a a_1 : Iota), % 5.17/5.31 Eq % 5.17/5.31 (in (skS.0 10 a a_1) (powerset (skS.0 9 a)) → % 5.17/5.33 ∀ (Y : Iota), % 5.17/5.33 in Y (powerset (skS.0 9 a)) → % 5.17/5.33 ∀ (Xx : Iota), % 5.17/5.33 in Xx (skS.0 9 a) → % 5.17/5.33 in Xx (setminus (skS.0 9 a) (binunion (skS.0 10 a a_1) Y)) → in Xx (setminus (skS.0 9 a) Y)) % 5.17/5.33 False % 5.17/5.33 Clause #110 (by clausification #[109]): ∀ (a a_1 : Iota), Eq (in (skS.0 10 a a_1) (powerset (skS.0 9 a))) True % 5.17/5.33 Clause #111 (by clausification #[109]): ∀ (a a_1 : Iota), % 5.17/5.33 Eq % 5.17/5.33 (∀ (Y : Iota), % 5.17/5.33 in Y (powerset (skS.0 9 a)) → % 5.17/5.33 ∀ (Xx : Iota), % 5.17/5.33 in Xx (skS.0 9 a) → % 5.17/5.33 in Xx (setminus (skS.0 9 a) (binunion (skS.0 10 a a_1) Y)) → in Xx (setminus (skS.0 9 a) Y)) % 5.17/5.33 False % 5.17/5.33 Clause #112 (by superposition #[110, 105]): ∀ (a a_1 a_2 a_3 : Iota), % 5.17/5.33 Or (Eq True False) % 5.17/5.33 (Or (Eq (in a (powerset (skS.0 9 a_1))) False) % 5.17/5.33 (Or (Eq (in a_2 (skS.0 9 a_1)) False) % 5.17/5.33 (Or (Eq (in a_2 (binunion (skS.0 10 a_1 a_3) a)) True) (Eq (in a_2 a) False)))) % 5.17/5.33 Clause #114 (by clausification #[111]): ∀ (a a_1 a_2 : Iota), % 5.17/5.33 Eq % 5.17/5.33 (Not % 5.17/5.33 (in (skS.0 11 a a_1 a_2) (powerset (skS.0 9 a)) → % 5.17/5.33 ∀ (Xx : Iota), % 5.17/5.33 in Xx (skS.0 9 a) → % 5.17/5.33 in Xx (setminus (skS.0 9 a) (binunion (skS.0 10 a a_1) (skS.0 11 a a_1 a_2))) → % 5.17/5.33 in Xx (setminus (skS.0 9 a) (skS.0 11 a a_1 a_2)))) % 5.17/5.33 True % 5.17/5.33 Clause #115 (by clausification #[114]): ∀ (a a_1 a_2 : Iota), % 5.17/5.33 Eq % 5.17/5.33 (in (skS.0 11 a a_1 a_2) (powerset (skS.0 9 a)) → % 5.17/5.33 ∀ (Xx : Iota), % 5.17/5.33 in Xx (skS.0 9 a) → % 5.17/5.33 in Xx (setminus (skS.0 9 a) (binunion (skS.0 10 a a_1) (skS.0 11 a a_1 a_2))) → % 5.17/5.33 in Xx (setminus (skS.0 9 a) (skS.0 11 a a_1 a_2))) % 5.17/5.33 False % 5.17/5.33 Clause #116 (by clausification #[115]): ∀ (a a_1 a_2 : Iota), Eq (in (skS.0 11 a a_1 a_2) (powerset (skS.0 9 a))) True % 5.17/5.33 Clause #117 (by clausification #[115]): ∀ (a a_1 a_2 : Iota), % 5.17/5.33 Eq % 5.17/5.33 (∀ (Xx : Iota), % 5.17/5.33 in Xx (skS.0 9 a) → % 5.17/5.33 in Xx (setminus (skS.0 9 a) (binunion (skS.0 10 a a_1) (skS.0 11 a a_1 a_2))) → % 5.17/5.33 in Xx (setminus (skS.0 9 a) (skS.0 11 a a_1 a_2))) % 5.17/5.33 False % 5.17/5.33 Clause #131 (by clausification #[117]): ∀ (a a_1 a_2 a_3 : Iota), % 5.17/5.33 Eq % 5.17/5.33 (Not % 5.17/5.33 (in (skS.0 13 a a_1 a_2 a_3) (skS.0 9 a) → % 5.17/5.33 in (skS.0 13 a a_1 a_2 a_3) (setminus (skS.0 9 a) (binunion (skS.0 10 a a_1) (skS.0 11 a a_1 a_2))) → % 5.17/5.33 in (skS.0 13 a a_1 a_2 a_3) (setminus (skS.0 9 a) (skS.0 11 a a_1 a_2)))) % 5.17/5.33 True % 5.17/5.33 Clause #132 (by clausification #[131]): ∀ (a a_1 a_2 a_3 : Iota), % 5.17/5.33 Eq % 5.17/5.33 (in (skS.0 13 a a_1 a_2 a_3) (skS.0 9 a) → % 5.17/5.33 in (skS.0 13 a a_1 a_2 a_3) (setminus (skS.0 9 a) (binunion (skS.0 10 a a_1) (skS.0 11 a a_1 a_2))) → % 5.17/5.33 in (skS.0 13 a a_1 a_2 a_3) (setminus (skS.0 9 a) (skS.0 11 a a_1 a_2))) % 5.17/5.33 False % 5.17/5.33 Clause #133 (by clausification #[132]): ∀ (a a_1 a_2 a_3 : Iota), Eq (in (skS.0 13 a a_1 a_2 a_3) (skS.0 9 a)) True % 5.17/5.33 Clause #134 (by clausification #[132]): ∀ (a a_1 a_2 a_3 : Iota), % 5.17/5.33 Eq % 5.17/5.33 (in (skS.0 13 a a_1 a_2 a_3) (setminus (skS.0 9 a) (binunion (skS.0 10 a a_1) (skS.0 11 a a_1 a_2))) → % 5.17/5.33 in (skS.0 13 a a_1 a_2 a_3) (setminus (skS.0 9 a) (skS.0 11 a a_1 a_2))) % 5.17/5.33 False % 5.17/5.33 Clause #135 (by superposition #[133, 64]): ∀ (a a_1 a_2 a_3 a_4 : Iota), % 5.17/5.33 Or (Eq True False) % 5.17/5.33 (Or (Eq (in (skS.0 13 a a_1 a_2 a_3) (setminus (skS.0 9 a) a_4)) True) (Eq (in (skS.0 13 a a_1 a_2 a_3) a_4) True)) % 5.17/5.33 Clause #145 (by clausification #[134]): ∀ (a a_1 a_2 a_3 : Iota), % 5.17/5.33 Eq (in (skS.0 13 a a_1 a_2 a_3) (setminus (skS.0 9 a) (binunion (skS.0 10 a a_1) (skS.0 11 a a_1 a_2)))) True % 5.17/5.33 Clause #146 (by clausification #[134]): ∀ (a a_1 a_2 a_3 : Iota), Eq (in (skS.0 13 a a_1 a_2 a_3) (setminus (skS.0 9 a) (skS.0 11 a a_1 a_2))) False % 5.17/5.33 Clause #147 (by superposition #[145, 87]): ∀ (a a_1 a_2 a_3 : Iota), % 5.17/5.33 Or (Eq True False) (Eq (in (skS.0 13 a a_1 a_2 a_3) (binunion (skS.0 10 a a_1) (skS.0 11 a a_1 a_2))) False) % 5.17/5.33 Clause #155 (by clausification #[147]): ∀ (a a_1 a_2 a_3 : Iota), Eq (in (skS.0 13 a a_1 a_2 a_3) (binunion (skS.0 10 a a_1) (skS.0 11 a a_1 a_2))) False % 5.17/5.33 Clause #160 (by clausification #[112]): ∀ (a a_1 a_2 a_3 : Iota), % 5.17/5.33 Or (Eq (in a (powerset (skS.0 9 a_1))) False) % 5.17/5.35 (Or (Eq (in a_2 (skS.0 9 a_1)) False) (Or (Eq (in a_2 (binunion (skS.0 10 a_1 a_3) a)) True) (Eq (in a_2 a) False))) % 5.17/5.35 Clause #162 (by superposition #[160, 116]): ∀ (a a_1 a_2 a_3 a_4 : Iota), % 5.17/5.35 Or (Eq (in a (skS.0 9 a_1)) False) % 5.17/5.35 (Or (Eq (in a (binunion (skS.0 10 a_1 a_2) (skS.0 11 a_1 a_3 a_4))) True) % 5.17/5.35 (Or (Eq (in a (skS.0 11 a_1 a_3 a_4)) False) (Eq False True))) % 5.17/5.35 Clause #163 (by clausification #[135]): ∀ (a a_1 a_2 a_3 a_4 : Iota), % 5.17/5.35 Or (Eq (in (skS.0 13 a a_1 a_2 a_3) (setminus (skS.0 9 a) a_4)) True) (Eq (in (skS.0 13 a a_1 a_2 a_3) a_4) True) % 5.17/5.35 Clause #164 (by superposition #[163, 146]): ∀ (a a_1 a_2 a_3 : Iota), Or (Eq (in (skS.0 13 a a_1 a_2 a_3) (skS.0 11 a a_1 a_2)) True) (Eq True False) % 5.17/5.35 Clause #170 (by clausification #[164]): ∀ (a a_1 a_2 a_3 : Iota), Eq (in (skS.0 13 a a_1 a_2 a_3) (skS.0 11 a a_1 a_2)) True % 5.17/5.35 Clause #185 (by clausification #[162]): ∀ (a a_1 a_2 a_3 a_4 : Iota), % 5.17/5.35 Or (Eq (in a (skS.0 9 a_1)) False) % 5.17/5.35 (Or (Eq (in a (binunion (skS.0 10 a_1 a_2) (skS.0 11 a_1 a_3 a_4))) True) (Eq (in a (skS.0 11 a_1 a_3 a_4)) False)) % 5.17/5.35 Clause #186 (by superposition #[185, 133]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota), % 5.17/5.35 Or (Eq (in (skS.0 13 a a_1 a_2 a_3) (binunion (skS.0 10 a a_4) (skS.0 11 a a_5 a_6))) True) % 5.17/5.35 (Or (Eq (in (skS.0 13 a a_1 a_2 a_3) (skS.0 11 a a_5 a_6)) False) (Eq False True)) % 5.17/5.35 Clause #205 (by clausification #[186]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota), % 5.17/5.35 Or (Eq (in (skS.0 13 a a_1 a_2 a_3) (binunion (skS.0 10 a a_4) (skS.0 11 a a_5 a_6))) True) % 5.17/5.35 (Eq (in (skS.0 13 a a_1 a_2 a_3) (skS.0 11 a a_5 a_6)) False) % 5.17/5.35 Clause #206 (by superposition #[205, 170]): ∀ (a a_1 a_2 a_3 a_4 : Iota), % 5.17/5.35 Or (Eq (in (skS.0 13 a a_1 a_2 a_3) (binunion (skS.0 10 a a_4) (skS.0 11 a a_1 a_2))) True) (Eq False True) % 5.17/5.35 Clause #207 (by clausification #[206]): ∀ (a a_1 a_2 a_3 a_4 : Iota), Eq (in (skS.0 13 a a_1 a_2 a_3) (binunion (skS.0 10 a a_4) (skS.0 11 a a_1 a_2))) True % 5.17/5.35 Clause #208 (by superposition #[207, 155]): Eq True False % 5.17/5.35 Clause #210 (by clausification #[208]): False % 5.17/5.35 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------