%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : SET904+1 : TPTP v9.2.0. Released v3.2.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n010.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 08:00:40 PM UTC 2025 % Result : Theorem 4.12s 4.28s % Output : Proof 4.12s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.13 % Problem : SET904+1 : TPTP v9.2.0. Released v3.2.0. % 0.03/0.14 % Command : duper %s % 0.14/0.35 % Computer : n010.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 : Thu Oct 2 13:43:53 EDT 2025 % 0.14/0.35 % CPUTime : % 4.12/4.28 SZS status Theorem for theBenchmark.p % 4.12/4.28 SZS output start Proof for theBenchmark.p % 4.12/4.28 Clause #8 (by assumption #[]): Eq (Not (∀ (A B : Iota), subset (set_union2 (singleton A) B) B → in A B)) True % 4.12/4.28 Clause #9 (by assumption #[]): Eq (∀ (A B : Iota), subset (set_union2 (singleton A) B) B → in A B) True % 4.12/4.28 Clause #14 (by clausification #[9]): ∀ (a : Iota), Eq (∀ (B : Iota), subset (set_union2 (singleton a) B) B → in a B) True % 4.12/4.28 Clause #15 (by clausification #[14]): ∀ (a a_1 : Iota), Eq (subset (set_union2 (singleton a) a_1) a_1 → in a a_1) True % 4.12/4.28 Clause #16 (by clausification #[15]): ∀ (a a_1 : Iota), Or (Eq (subset (set_union2 (singleton a) a_1) a_1) False) (Eq (in a a_1) True) % 4.12/4.28 Clause #28 (by clausification #[8]): Eq (∀ (A B : Iota), subset (set_union2 (singleton A) B) B → in A B) False % 4.12/4.28 Clause #29 (by clausification #[28]): ∀ (a : Iota), Eq (Not (∀ (B : Iota), subset (set_union2 (singleton (skS.0 2 a)) B) B → in (skS.0 2 a) B)) True % 4.12/4.28 Clause #30 (by clausification #[29]): ∀ (a : Iota), Eq (∀ (B : Iota), subset (set_union2 (singleton (skS.0 2 a)) B) B → in (skS.0 2 a) B) False % 4.12/4.28 Clause #31 (by clausification #[30]): ∀ (a a_1 : Iota), % 4.12/4.28 Eq % 4.12/4.28 (Not (subset (set_union2 (singleton (skS.0 2 a)) (skS.0 3 a a_1)) (skS.0 3 a a_1) → in (skS.0 2 a) (skS.0 3 a a_1))) % 4.12/4.28 True % 4.12/4.28 Clause #32 (by clausification #[31]): ∀ (a a_1 : Iota), % 4.12/4.28 Eq (subset (set_union2 (singleton (skS.0 2 a)) (skS.0 3 a a_1)) (skS.0 3 a a_1) → in (skS.0 2 a) (skS.0 3 a a_1)) % 4.12/4.28 False % 4.12/4.28 Clause #33 (by clausification #[32]): ∀ (a a_1 : Iota), Eq (subset (set_union2 (singleton (skS.0 2 a)) (skS.0 3 a a_1)) (skS.0 3 a a_1)) True % 4.12/4.28 Clause #34 (by clausification #[32]): ∀ (a a_1 : Iota), Eq (in (skS.0 2 a) (skS.0 3 a a_1)) False % 4.12/4.28 Clause #35 (by superposition #[33, 16]): ∀ (a a_1 : Iota), Or (Eq True False) (Eq (in (skS.0 2 a) (skS.0 3 a a_1)) True) % 4.12/4.28 Clause #55 (by clausification #[35]): ∀ (a a_1 : Iota), Eq (in (skS.0 2 a) (skS.0 3 a a_1)) True % 4.12/4.28 Clause #56 (by superposition #[55, 34]): Eq True False % 4.12/4.28 Clause #58 (by clausification #[56]): False % 4.12/4.28 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------