%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : SEU140+1 : TPTP v9.2.0. Released v3.3.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n004.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 08:00:56 PM UTC 2025 % Result : Theorem 3.99s 4.16s % Output : Proof 3.99s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : SEU140+1 : TPTP v9.2.0. Released v3.3.0. % 0.07/0.13 % Command : duper %s % 0.14/0.34 % Computer : n004.cluster.edu % 0.14/0.34 % Model : x86_64 x86_64 % 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.34 % Memory : 8042.1875MB % 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.34 % CPULimit : 300 % 0.14/0.34 % WCLimit : 300 % 0.14/0.34 % DateTime : Fri Oct 3 04:30:08 EDT 2025 % 0.14/0.34 % CPUTime : % 3.99/4.16 SZS status Theorem for theBenchmark.p % 3.99/4.16 SZS output start Proof for theBenchmark.p % 3.99/4.16 Clause #2 (by assumption #[]): Eq (∀ (A B : Iota), Iff (disjoint A B) (Eq (set_intersection2 A B) empty_set)) True % 3.99/4.16 Clause #10 (by assumption #[]): Eq (∀ (A B C : Iota), subset A B → subset (set_intersection2 A C) (set_intersection2 B C)) True % 3.99/4.16 Clause #12 (by assumption #[]): Eq (∀ (A : Iota), subset A empty_set → Eq A empty_set) True % 3.99/4.16 Clause #13 (by assumption #[]): Eq (Not (∀ (A B C : Iota), And (subset A B) (disjoint B C) → disjoint A C)) True % 3.99/4.16 Clause #36 (by clausification #[12]): ∀ (a : Iota), Eq (subset a empty_set → Eq a empty_set) True % 3.99/4.16 Clause #37 (by clausification #[36]): ∀ (a : Iota), Or (Eq (subset a empty_set) False) (Eq (Eq a empty_set) True) % 3.99/4.16 Clause #38 (by clausification #[37]): ∀ (a : Iota), Or (Eq (subset a empty_set) False) (Eq a empty_set) % 3.99/4.16 Clause #46 (by clausification #[13]): Eq (∀ (A B C : Iota), And (subset A B) (disjoint B C) → disjoint A C) False % 3.99/4.16 Clause #47 (by clausification #[46]): ∀ (a : Iota), Eq (Not (∀ (B C : Iota), And (subset (skS.0 2 a) B) (disjoint B C) → disjoint (skS.0 2 a) C)) True % 3.99/4.16 Clause #48 (by clausification #[47]): ∀ (a : Iota), Eq (∀ (B C : Iota), And (subset (skS.0 2 a) B) (disjoint B C) → disjoint (skS.0 2 a) C) False % 3.99/4.16 Clause #49 (by clausification #[48]): ∀ (a a_1 : Iota), % 3.99/4.16 Eq % 3.99/4.16 (Not (∀ (C : Iota), And (subset (skS.0 2 a) (skS.0 3 a a_1)) (disjoint (skS.0 3 a a_1) C) → disjoint (skS.0 2 a) C)) % 3.99/4.16 True % 3.99/4.16 Clause #50 (by clausification #[49]): ∀ (a a_1 : Iota), % 3.99/4.16 Eq (∀ (C : Iota), And (subset (skS.0 2 a) (skS.0 3 a a_1)) (disjoint (skS.0 3 a a_1) C) → disjoint (skS.0 2 a) C) % 3.99/4.16 False % 3.99/4.16 Clause #51 (by clausification #[50]): ∀ (a a_1 a_2 : Iota), % 3.99/4.16 Eq % 3.99/4.16 (Not % 3.99/4.16 (And (subset (skS.0 2 a) (skS.0 3 a a_1)) (disjoint (skS.0 3 a a_1) (skS.0 4 a a_1 a_2)) → % 3.99/4.16 disjoint (skS.0 2 a) (skS.0 4 a a_1 a_2))) % 3.99/4.16 True % 3.99/4.16 Clause #52 (by clausification #[51]): ∀ (a a_1 a_2 : Iota), % 3.99/4.16 Eq % 3.99/4.16 (And (subset (skS.0 2 a) (skS.0 3 a a_1)) (disjoint (skS.0 3 a a_1) (skS.0 4 a a_1 a_2)) → % 3.99/4.16 disjoint (skS.0 2 a) (skS.0 4 a a_1 a_2)) % 3.99/4.16 False % 3.99/4.16 Clause #53 (by clausification #[52]): ∀ (a a_1 a_2 : Iota), Eq (And (subset (skS.0 2 a) (skS.0 3 a a_1)) (disjoint (skS.0 3 a a_1) (skS.0 4 a a_1 a_2))) True % 3.99/4.16 Clause #54 (by clausification #[52]): ∀ (a a_1 a_2 : Iota), Eq (disjoint (skS.0 2 a) (skS.0 4 a a_1 a_2)) False % 3.99/4.16 Clause #55 (by clausification #[53]): ∀ (a a_1 a_2 : Iota), Eq (disjoint (skS.0 3 a a_1) (skS.0 4 a a_1 a_2)) True % 3.99/4.16 Clause #56 (by clausification #[53]): ∀ (a a_1 : Iota), Eq (subset (skS.0 2 a) (skS.0 3 a a_1)) True % 3.99/4.16 Clause #62 (by clausification #[2]): ∀ (a : Iota), Eq (∀ (B : Iota), Iff (disjoint a B) (Eq (set_intersection2 a B) empty_set)) True % 3.99/4.16 Clause #63 (by clausification #[62]): ∀ (a a_1 : Iota), Eq (Iff (disjoint a a_1) (Eq (set_intersection2 a a_1) empty_set)) True % 3.99/4.16 Clause #64 (by clausification #[63]): ∀ (a a_1 : Iota), Or (Eq (disjoint a a_1) True) (Eq (Eq (set_intersection2 a a_1) empty_set) False) % 3.99/4.16 Clause #65 (by clausification #[63]): ∀ (a a_1 : Iota), Or (Eq (disjoint a a_1) False) (Eq (Eq (set_intersection2 a a_1) empty_set) True) % 3.99/4.16 Clause #66 (by clausification #[64]): ∀ (a a_1 : Iota), Or (Eq (disjoint a a_1) True) (Ne (set_intersection2 a a_1) empty_set) % 3.99/4.16 Clause #76 (by clausification #[10]): ∀ (a : Iota), Eq (∀ (B C : Iota), subset a B → subset (set_intersection2 a C) (set_intersection2 B C)) True % 3.99/4.16 Clause #77 (by clausification #[76]): ∀ (a a_1 : Iota), Eq (∀ (C : Iota), subset a a_1 → subset (set_intersection2 a C) (set_intersection2 a_1 C)) True % 3.99/4.16 Clause #78 (by clausification #[77]): ∀ (a a_1 a_2 : Iota), Eq (subset a a_1 → subset (set_intersection2 a a_2) (set_intersection2 a_1 a_2)) True % 3.99/4.16 Clause #79 (by clausification #[78]): ∀ (a a_1 a_2 : Iota), % 3.99/4.16 Or (Eq (subset a a_1) False) (Eq (subset (set_intersection2 a a_2) (set_intersection2 a_1 a_2)) True) % 3.99/4.16 Clause #86 (by clausification #[65]): ∀ (a a_1 : Iota), Or (Eq (disjoint a a_1) False) (Eq (set_intersection2 a a_1) empty_set) % 3.99/4.16 Clause #87 (by superposition #[86, 55]): ∀ (a a_1 a_2 : Iota), Or (Eq (set_intersection2 (skS.0 3 a a_1) (skS.0 4 a a_1 a_2)) empty_set) (Eq False True) % 3.99/4.17 Clause #97 (by superposition #[56, 79]): ∀ (a a_1 a_2 : Iota), % 3.99/4.17 Or (Eq (subset (set_intersection2 (skS.0 2 a) a_1) (set_intersection2 (skS.0 3 a a_2) a_1)) True) (Eq False True) % 3.99/4.17 Clause #98 (by clausification #[97]): ∀ (a a_1 a_2 : Iota), Eq (subset (set_intersection2 (skS.0 2 a) a_1) (set_intersection2 (skS.0 3 a a_2) a_1)) True % 3.99/4.17 Clause #117 (by clausification #[87]): ∀ (a a_1 a_2 : Iota), Eq (set_intersection2 (skS.0 3 a a_1) (skS.0 4 a a_1 a_2)) empty_set % 3.99/4.17 Clause #118 (by superposition #[117, 98]): ∀ (a a_1 a_2 : Iota), Eq (subset (set_intersection2 (skS.0 2 a) (skS.0 4 a a_1 a_2)) empty_set) True % 3.99/4.17 Clause #123 (by superposition #[118, 38]): ∀ (a a_1 a_2 : Iota), Or (Eq True False) (Eq (set_intersection2 (skS.0 2 a) (skS.0 4 a a_1 a_2)) empty_set) % 3.99/4.17 Clause #125 (by clausification #[123]): ∀ (a a_1 a_2 : Iota), Eq (set_intersection2 (skS.0 2 a) (skS.0 4 a a_1 a_2)) empty_set % 3.99/4.17 Clause #128 (by superposition #[125, 66]): ∀ (a a_1 a_2 : Iota), Or (Eq (disjoint (skS.0 2 a) (skS.0 4 a a_1 a_2)) True) (Ne empty_set empty_set) % 3.99/4.17 Clause #152 (by eliminate resolved literals #[128]): ∀ (a a_1 a_2 : Iota), Eq (disjoint (skS.0 2 a) (skS.0 4 a a_1 a_2)) True % 3.99/4.17 Clause #153 (by superposition #[152, 54]): Eq True False % 3.99/4.17 Clause #156 (by clausification #[153]): False % 3.99/4.17 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------