%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : SET910+1 : TPTP v9.2.0. Released v3.2.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n022.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 3.52s 3.72s % Output : Proof 3.52s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.11 % Problem : SET910+1 : TPTP v9.2.0. Released v3.2.0. % 0.07/0.13 % Command : duper %s % 0.12/0.34 % Computer : n022.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 : Thu Oct 2 13:40:38 EDT 2025 % 0.12/0.34 % CPUTime : % 3.52/3.72 SZS status Theorem for theBenchmark.p % 3.52/3.72 SZS output start Proof for theBenchmark.p % 3.52/3.72 Clause #5 (by assumption #[]): Eq (Not (∀ (A B : Iota), Eq (set_intersection2 A (singleton B)) (singleton B) → in B A)) True % 3.52/3.72 Clause #6 (by assumption #[]): Eq (∀ (A B : Iota), Eq (set_intersection2 A (singleton B)) (singleton B) → in B A) True % 3.52/3.72 Clause #9 (by clausification #[6]): ∀ (a : Iota), Eq (∀ (B : Iota), Eq (set_intersection2 a (singleton B)) (singleton B) → in B a) True % 3.52/3.72 Clause #10 (by clausification #[9]): ∀ (a a_1 : Iota), Eq (Eq (set_intersection2 a (singleton a_1)) (singleton a_1) → in a_1 a) True % 3.52/3.72 Clause #11 (by clausification #[10]): ∀ (a a_1 : Iota), Or (Eq (Eq (set_intersection2 a (singleton a_1)) (singleton a_1)) False) (Eq (in a_1 a) True) % 3.52/3.72 Clause #12 (by clausification #[11]): ∀ (a a_1 : Iota), Or (Eq (in a a_1) True) (Ne (set_intersection2 a_1 (singleton a)) (singleton a)) % 3.52/3.72 Clause #15 (by clausification #[5]): Eq (∀ (A B : Iota), Eq (set_intersection2 A (singleton B)) (singleton B) → in B A) False % 3.52/3.72 Clause #16 (by clausification #[15]): ∀ (a : Iota), % 3.52/3.72 Eq (Not (∀ (B : Iota), Eq (set_intersection2 (skS.0 2 a) (singleton B)) (singleton B) → in B (skS.0 2 a))) True % 3.52/3.72 Clause #17 (by clausification #[16]): ∀ (a : Iota), Eq (∀ (B : Iota), Eq (set_intersection2 (skS.0 2 a) (singleton B)) (singleton B) → in B (skS.0 2 a)) False % 3.52/3.72 Clause #18 (by clausification #[17]): ∀ (a a_1 : Iota), % 3.52/3.72 Eq % 3.52/3.72 (Not % 3.52/3.72 (Eq (set_intersection2 (skS.0 2 a) (singleton (skS.0 3 a a_1))) (singleton (skS.0 3 a a_1)) → % 3.52/3.72 in (skS.0 3 a a_1) (skS.0 2 a))) % 3.52/3.72 True % 3.52/3.72 Clause #19 (by clausification #[18]): ∀ (a a_1 : Iota), % 3.52/3.72 Eq % 3.52/3.72 (Eq (set_intersection2 (skS.0 2 a) (singleton (skS.0 3 a a_1))) (singleton (skS.0 3 a a_1)) → % 3.52/3.72 in (skS.0 3 a a_1) (skS.0 2 a)) % 3.52/3.72 False % 3.52/3.72 Clause #20 (by clausification #[19]): ∀ (a a_1 : Iota), Eq (Eq (set_intersection2 (skS.0 2 a) (singleton (skS.0 3 a a_1))) (singleton (skS.0 3 a a_1))) True % 3.52/3.72 Clause #21 (by clausification #[19]): ∀ (a a_1 : Iota), Eq (in (skS.0 3 a a_1) (skS.0 2 a)) False % 3.52/3.72 Clause #22 (by clausification #[20]): ∀ (a a_1 : Iota), Eq (set_intersection2 (skS.0 2 a) (singleton (skS.0 3 a a_1))) (singleton (skS.0 3 a a_1)) % 3.52/3.72 Clause #23 (by superposition #[22, 12]): ∀ (a a_1 : Iota), % 3.52/3.72 Or (Eq (in (skS.0 3 a a_1) (skS.0 2 a)) True) (Ne (singleton (skS.0 3 a a_1)) (singleton (skS.0 3 a a_1))) % 3.52/3.72 Clause #39 (by eliminate resolved literals #[23]): ∀ (a a_1 : Iota), Eq (in (skS.0 3 a a_1) (skS.0 2 a)) True % 3.52/3.72 Clause #40 (by superposition #[39, 21]): Eq True False % 3.52/3.72 Clause #42 (by clausification #[40]): False % 3.52/3.72 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------