%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : SEU295+1 : TPTP v9.2.0. Released v3.3.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n028.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 08:01:19 PM UTC 2025 % Result : Theorem 4.93s 5.14s % Output : Proof 4.93s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.06/0.12 % Problem : SEU295+1 : TPTP v9.2.0. Released v3.3.0. % 0.06/0.13 % Command : duper %s % 0.13/0.34 % Computer : n028.cluster.edu % 0.13/0.34 % Model : x86_64 x86_64 % 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.34 % Memory : 8042.1875MB % 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.34 % CPULimit : 300 % 0.13/0.34 % WCLimit : 300 % 0.13/0.34 % DateTime : Fri Oct 3 05:44:53 EDT 2025 % 0.13/0.34 % CPUTime : % 4.93/5.14 SZS status Theorem for theBenchmark.p % 4.93/5.14 SZS output start Proof for theBenchmark.p % 4.93/5.14 Clause #11 (by assumption #[]): Eq (∀ (A B : Iota), Eq (set_intersection2 A B) (set_intersection2 B A)) True % 4.93/5.14 Clause #14 (by assumption #[]): Eq (∀ (A B : Iota), finite B → finite (set_intersection2 A B)) True % 4.93/5.14 Clause #43 (by assumption #[]): Eq (Not (∀ (A B : Iota), finite A → finite (set_intersection2 A B))) True % 4.93/5.14 Clause #144 (by clausification #[14]): ∀ (a : Iota), Eq (∀ (B : Iota), finite B → finite (set_intersection2 a B)) True % 4.93/5.14 Clause #145 (by clausification #[144]): ∀ (a a_1 : Iota), Eq (finite a → finite (set_intersection2 a_1 a)) True % 4.93/5.14 Clause #146 (by clausification #[145]): ∀ (a a_1 : Iota), Or (Eq (finite a) False) (Eq (finite (set_intersection2 a_1 a)) True) % 4.93/5.14 Clause #166 (by clausification #[11]): ∀ (a : Iota), Eq (∀ (B : Iota), Eq (set_intersection2 a B) (set_intersection2 B a)) True % 4.93/5.14 Clause #167 (by clausification #[166]): ∀ (a a_1 : Iota), Eq (Eq (set_intersection2 a a_1) (set_intersection2 a_1 a)) True % 4.93/5.14 Clause #168 (by clausification #[167]): ∀ (a a_1 : Iota), Eq (set_intersection2 a a_1) (set_intersection2 a_1 a) % 4.93/5.14 Clause #228 (by clausification #[43]): Eq (∀ (A B : Iota), finite A → finite (set_intersection2 A B)) False % 4.93/5.14 Clause #229 (by clausification #[228]): ∀ (a : Iota), Eq (Not (∀ (B : Iota), finite (skS.0 7 a) → finite (set_intersection2 (skS.0 7 a) B))) True % 4.93/5.14 Clause #230 (by clausification #[229]): ∀ (a : Iota), Eq (∀ (B : Iota), finite (skS.0 7 a) → finite (set_intersection2 (skS.0 7 a) B)) False % 4.93/5.14 Clause #231 (by clausification #[230]): ∀ (a a_1 : Iota), Eq (Not (finite (skS.0 7 a) → finite (set_intersection2 (skS.0 7 a) (skS.0 8 a a_1)))) True % 4.93/5.14 Clause #232 (by clausification #[231]): ∀ (a a_1 : Iota), Eq (finite (skS.0 7 a) → finite (set_intersection2 (skS.0 7 a) (skS.0 8 a a_1))) False % 4.93/5.14 Clause #233 (by clausification #[232]): ∀ (a : Iota), Eq (finite (skS.0 7 a)) True % 4.93/5.14 Clause #234 (by clausification #[232]): ∀ (a a_1 : Iota), Eq (finite (set_intersection2 (skS.0 7 a) (skS.0 8 a a_1))) False % 4.93/5.14 Clause #237 (by superposition #[233, 146]): ∀ (a a_1 : Iota), Or (Eq True False) (Eq (finite (set_intersection2 a (skS.0 7 a_1))) True) % 4.93/5.14 Clause #419 (by clausification #[237]): ∀ (a a_1 : Iota), Eq (finite (set_intersection2 a (skS.0 7 a_1))) True % 4.93/5.14 Clause #423 (by superposition #[419, 168]): ∀ (a a_1 : Iota), Eq (finite (set_intersection2 (skS.0 7 a) a_1)) True % 4.93/5.14 Clause #582 (by superposition #[234, 423]): Eq True False % 4.93/5.14 Clause #583 (by clausification #[582]): False % 4.93/5.14 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------