%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : SEU161+2 : TPTP v9.2.0. Released v3.3.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n012.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 08:01:00 PM UTC 2025 % Result : Theorem 83.73s 83.91s % Output : Proof 83.73s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU161+2 : TPTP v9.2.0. Released v3.3.0. % 0.13/0.13 % Command : duper %s % 0.14/0.34 % Computer : n012.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 06:12:53 EDT 2025 % 0.14/0.35 % CPUTime : % 83.73/83.91 SZS status Theorem for theBenchmark.p % 83.73/83.91 SZS output start Proof for theBenchmark.p % 83.73/83.91 Clause #28 (by assumption #[]): Eq (∀ (A B : Iota), in A B → Eq (set_union2 (singleton A) B) B) True % 83.73/83.91 Clause #63 (by assumption #[]): Eq (Not (∀ (A B : Iota), in A B → Eq (set_union2 (singleton A) B) B)) True % 83.73/83.91 Clause #513 (by clausification #[28]): ∀ (a : Iota), Eq (∀ (B : Iota), in a B → Eq (set_union2 (singleton a) B) B) True % 83.73/83.91 Clause #514 (by clausification #[513]): ∀ (a a_1 : Iota), Eq (in a a_1 → Eq (set_union2 (singleton a) a_1) a_1) True % 83.73/83.91 Clause #515 (by clausification #[514]): ∀ (a a_1 : Iota), Or (Eq (in a a_1) False) (Eq (Eq (set_union2 (singleton a) a_1) a_1) True) % 83.73/83.91 Clause #516 (by clausification #[515]): ∀ (a a_1 : Iota), Or (Eq (in a a_1) False) (Eq (set_union2 (singleton a) a_1) a_1) % 83.73/83.91 Clause #911 (by clausification #[63]): Eq (∀ (A B : Iota), in A B → Eq (set_union2 (singleton A) B) B) False % 83.73/83.91 Clause #912 (by clausification #[911]): ∀ (a : Iota), Eq (Not (∀ (B : Iota), in (skS.0 13 a) B → Eq (set_union2 (singleton (skS.0 13 a)) B) B)) True % 83.73/83.91 Clause #913 (by clausification #[912]): ∀ (a : Iota), Eq (∀ (B : Iota), in (skS.0 13 a) B → Eq (set_union2 (singleton (skS.0 13 a)) B) B) False % 83.73/83.91 Clause #914 (by clausification #[913]): ∀ (a a_1 : Iota), % 83.73/83.91 Eq % 83.73/83.91 (Not % 83.73/83.91 (in (skS.0 13 a) (skS.0 14 a a_1) → Eq (set_union2 (singleton (skS.0 13 a)) (skS.0 14 a a_1)) (skS.0 14 a a_1))) % 83.73/83.91 True % 83.73/83.91 Clause #915 (by clausification #[914]): ∀ (a a_1 : Iota), % 83.73/83.91 Eq (in (skS.0 13 a) (skS.0 14 a a_1) → Eq (set_union2 (singleton (skS.0 13 a)) (skS.0 14 a a_1)) (skS.0 14 a a_1)) % 83.73/83.91 False % 83.73/83.91 Clause #916 (by clausification #[915]): ∀ (a a_1 : Iota), Eq (in (skS.0 13 a) (skS.0 14 a a_1)) True % 83.73/83.91 Clause #917 (by clausification #[915]): ∀ (a a_1 : Iota), Eq (Eq (set_union2 (singleton (skS.0 13 a)) (skS.0 14 a a_1)) (skS.0 14 a a_1)) False % 83.73/83.91 Clause #920 (by superposition #[916, 516]): ∀ (a a_1 : Iota), Or (Eq True False) (Eq (set_union2 (singleton (skS.0 13 a)) (skS.0 14 a a_1)) (skS.0 14 a a_1)) % 83.73/83.91 Clause #26011 (by clausification #[917]): ∀ (a a_1 : Iota), Ne (set_union2 (singleton (skS.0 13 a)) (skS.0 14 a a_1)) (skS.0 14 a a_1) % 83.73/83.91 Clause #26275 (by clausification #[920]): ∀ (a a_1 : Iota), Eq (set_union2 (singleton (skS.0 13 a)) (skS.0 14 a a_1)) (skS.0 14 a a_1) % 83.73/83.91 Clause #26276 (by forward contextual literal cutting #[26275, 26011]): False % 83.73/83.91 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------