%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : SEU161+3 : TPTP v9.2.0. Released v3.2.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n015.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 3.63s 3.86s % Output : Proof 3.63s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : SEU161+3 : TPTP v9.2.0. Released v3.2.0. % 0.07/0.13 % Command : duper %s % 0.12/0.34 % Computer : n015.cluster.edu % 0.12/0.34 % Model : x86_64 x86_64 % 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.34 % Memory : 8042.1875MB % 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.34 % CPULimit : 300 % 0.12/0.34 % WCLimit : 300 % 0.12/0.34 % DateTime : Fri Oct 3 05:36:08 EDT 2025 % 0.12/0.34 % CPUTime : % 3.63/3.86 SZS status Theorem for theBenchmark.p % 3.63/3.86 SZS output start Proof for theBenchmark.p % 3.63/3.86 Clause #7 (by assumption #[]): Eq (Not (∀ (A B : Iota), in A B → Eq (set_union2 (singleton A) B) B)) True % 3.63/3.86 Clause #8 (by assumption #[]): Eq (∀ (A B : Iota), in A B → Eq (set_union2 (singleton A) B) B) True % 3.63/3.86 Clause #34 (by clausification #[8]): ∀ (a : Iota), Eq (∀ (B : Iota), in a B → Eq (set_union2 (singleton a) B) B) True % 3.63/3.86 Clause #35 (by clausification #[34]): ∀ (a a_1 : Iota), Eq (in a a_1 → Eq (set_union2 (singleton a) a_1) a_1) True % 3.63/3.86 Clause #36 (by clausification #[35]): ∀ (a a_1 : Iota), Or (Eq (in a a_1) False) (Eq (Eq (set_union2 (singleton a) a_1) a_1) True) % 3.63/3.86 Clause #37 (by clausification #[36]): ∀ (a a_1 : Iota), Or (Eq (in a a_1) False) (Eq (set_union2 (singleton a) a_1) a_1) % 3.63/3.86 Clause #38 (by clausification #[7]): Eq (∀ (A B : Iota), in A B → Eq (set_union2 (singleton A) B) B) False % 3.63/3.86 Clause #39 (by clausification #[38]): ∀ (a : Iota), Eq (Not (∀ (B : Iota), in (skS.0 2 a) B → Eq (set_union2 (singleton (skS.0 2 a)) B) B)) True % 3.63/3.86 Clause #40 (by clausification #[39]): ∀ (a : Iota), Eq (∀ (B : Iota), in (skS.0 2 a) B → Eq (set_union2 (singleton (skS.0 2 a)) B) B) False % 3.63/3.86 Clause #41 (by clausification #[40]): ∀ (a a_1 : Iota), % 3.63/3.86 Eq (Not (in (skS.0 2 a) (skS.0 3 a a_1) → Eq (set_union2 (singleton (skS.0 2 a)) (skS.0 3 a a_1)) (skS.0 3 a a_1))) % 3.63/3.86 True % 3.63/3.86 Clause #42 (by clausification #[41]): ∀ (a a_1 : Iota), % 3.63/3.86 Eq (in (skS.0 2 a) (skS.0 3 a a_1) → Eq (set_union2 (singleton (skS.0 2 a)) (skS.0 3 a a_1)) (skS.0 3 a a_1)) False % 3.63/3.86 Clause #43 (by clausification #[42]): ∀ (a a_1 : Iota), Eq (in (skS.0 2 a) (skS.0 3 a a_1)) True % 3.63/3.86 Clause #44 (by clausification #[42]): ∀ (a a_1 : Iota), Eq (Eq (set_union2 (singleton (skS.0 2 a)) (skS.0 3 a a_1)) (skS.0 3 a a_1)) False % 3.63/3.86 Clause #46 (by superposition #[43, 37]): ∀ (a a_1 : Iota), Or (Eq True False) (Eq (set_union2 (singleton (skS.0 2 a)) (skS.0 3 a a_1)) (skS.0 3 a a_1)) % 3.63/3.86 Clause #48 (by clausification #[44]): ∀ (a a_1 : Iota), Ne (set_union2 (singleton (skS.0 2 a)) (skS.0 3 a a_1)) (skS.0 3 a a_1) % 3.63/3.86 Clause #49 (by clausification #[46]): ∀ (a a_1 : Iota), Eq (set_union2 (singleton (skS.0 2 a)) (skS.0 3 a a_1)) (skS.0 3 a a_1) % 3.63/3.86 Clause #50 (by forward contextual literal cutting #[49, 48]): False % 3.63/3.86 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------