%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : SET911+1 : TPTP v9.2.0. Released v3.2.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n014.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 4.61s 4.78s % Output : Proof 4.61s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : SET911+1 : TPTP v9.2.0. Released v3.2.0. % 0.03/0.13 % Command : duper %s % 0.12/0.33 % Computer : n014.cluster.edu % 0.12/0.33 % Model : x86_64 x86_64 % 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.33 % Memory : 8042.1875MB % 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.33 % CPULimit : 300 % 0.12/0.33 % WCLimit : 300 % 0.12/0.33 % DateTime : Thu Oct 2 14:29:08 EDT 2025 % 0.12/0.33 % CPUTime : % 4.61/4.78 SZS status Theorem for theBenchmark.p % 4.61/4.78 SZS output start Proof for theBenchmark.p % 4.61/4.78 Clause #5 (by assumption #[]): Eq (Not (∀ (A B : Iota), in A B → Eq (set_intersection2 B (singleton A)) (singleton A))) True % 4.61/4.78 Clause #6 (by assumption #[]): Eq (∀ (A B : Iota), in A B → Eq (set_intersection2 B (singleton A)) (singleton A)) True % 4.61/4.78 Clause #21 (by clausification #[5]): Eq (∀ (A B : Iota), in A B → Eq (set_intersection2 B (singleton A)) (singleton A)) False % 4.61/4.78 Clause #22 (by clausification #[21]): ∀ (a : Iota), % 4.61/4.78 Eq (Not (∀ (B : Iota), in (skS.0 2 a) B → Eq (set_intersection2 B (singleton (skS.0 2 a))) (singleton (skS.0 2 a)))) % 4.61/4.78 True % 4.61/4.78 Clause #23 (by clausification #[22]): ∀ (a : Iota), % 4.61/4.78 Eq (∀ (B : Iota), in (skS.0 2 a) B → Eq (set_intersection2 B (singleton (skS.0 2 a))) (singleton (skS.0 2 a))) False % 4.61/4.78 Clause #24 (by clausification #[23]): ∀ (a a_1 : Iota), % 4.61/4.78 Eq % 4.61/4.78 (Not % 4.61/4.78 (in (skS.0 2 a) (skS.0 3 a a_1) → % 4.61/4.78 Eq (set_intersection2 (skS.0 3 a a_1) (singleton (skS.0 2 a))) (singleton (skS.0 2 a)))) % 4.61/4.78 True % 4.61/4.78 Clause #25 (by clausification #[24]): ∀ (a a_1 : Iota), % 4.61/4.78 Eq % 4.61/4.78 (in (skS.0 2 a) (skS.0 3 a a_1) → % 4.61/4.78 Eq (set_intersection2 (skS.0 3 a a_1) (singleton (skS.0 2 a))) (singleton (skS.0 2 a))) % 4.61/4.78 False % 4.61/4.78 Clause #26 (by clausification #[25]): ∀ (a a_1 : Iota), Eq (in (skS.0 2 a) (skS.0 3 a a_1)) True % 4.61/4.78 Clause #27 (by clausification #[25]): ∀ (a a_1 : Iota), Eq (Eq (set_intersection2 (skS.0 3 a a_1) (singleton (skS.0 2 a))) (singleton (skS.0 2 a))) False % 4.61/4.78 Clause #29 (by clausification #[6]): ∀ (a : Iota), Eq (∀ (B : Iota), in a B → Eq (set_intersection2 B (singleton a)) (singleton a)) True % 4.61/4.78 Clause #30 (by clausification #[29]): ∀ (a a_1 : Iota), Eq (in a a_1 → Eq (set_intersection2 a_1 (singleton a)) (singleton a)) True % 4.61/4.78 Clause #31 (by clausification #[30]): ∀ (a a_1 : Iota), Or (Eq (in a a_1) False) (Eq (Eq (set_intersection2 a_1 (singleton a)) (singleton a)) True) % 4.61/4.78 Clause #32 (by clausification #[31]): ∀ (a a_1 : Iota), Or (Eq (in a a_1) False) (Eq (set_intersection2 a_1 (singleton a)) (singleton a)) % 4.61/4.78 Clause #33 (by superposition #[32, 26]): ∀ (a a_1 : Iota), % 4.61/4.78 Or (Eq (set_intersection2 (skS.0 3 a a_1) (singleton (skS.0 2 a))) (singleton (skS.0 2 a))) (Eq False True) % 4.61/4.78 Clause #35 (by clausification #[33]): ∀ (a a_1 : Iota), Eq (set_intersection2 (skS.0 3 a a_1) (singleton (skS.0 2 a))) (singleton (skS.0 2 a)) % 4.61/4.78 Clause #38 (by clausification #[27]): ∀ (a a_1 : Iota), Ne (set_intersection2 (skS.0 3 a a_1) (singleton (skS.0 2 a))) (singleton (skS.0 2 a)) % 4.61/4.78 Clause #39 (by forward demodulation #[38, 35]): ∀ (a : Iota), Ne (singleton (skS.0 2 a)) (singleton (skS.0 2 a)) % 4.61/4.78 Clause #40 (by eliminate resolved literals #[39]): False % 4.61/4.78 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------