%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : SEU295+3 : TPTP v9.2.0. Released v3.2.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n019.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 5.14s 5.31s % Output : Proof 5.14s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.12 % Problem : SEU295+3 : TPTP v9.2.0. Released v3.2.0. % 0.11/0.13 % Command : duper %s % 0.13/0.34 % Computer : n019.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 04:12:08 EDT 2025 % 0.13/0.34 % CPUTime : % 5.14/5.31 SZS status Theorem for theBenchmark.p % 5.14/5.31 SZS output start Proof for theBenchmark.p % 5.14/5.31 Clause #12 (by assumption #[]): Eq (∀ (A B : Iota), Eq (set_intersection2 A B) (set_intersection2 B A)) True % 5.14/5.31 Clause #14 (by assumption #[]): Eq (∀ (A B : Iota), finite B → finite (set_intersection2 A B)) True % 5.14/5.31 Clause #51 (by assumption #[]): Eq (Not (∀ (A B : Iota), finite A → finite (set_intersection2 A B))) True % 5.14/5.31 Clause #137 (by clausification #[14]): ∀ (a : Iota), Eq (∀ (B : Iota), finite B → finite (set_intersection2 a B)) True % 5.14/5.31 Clause #138 (by clausification #[137]): ∀ (a a_1 : Iota), Eq (finite a → finite (set_intersection2 a_1 a)) True % 5.14/5.31 Clause #139 (by clausification #[138]): ∀ (a a_1 : Iota), Or (Eq (finite a) False) (Eq (finite (set_intersection2 a_1 a)) True) % 5.14/5.31 Clause #200 (by clausification #[12]): ∀ (a : Iota), Eq (∀ (B : Iota), Eq (set_intersection2 a B) (set_intersection2 B a)) True % 5.14/5.31 Clause #201 (by clausification #[200]): ∀ (a a_1 : Iota), Eq (Eq (set_intersection2 a a_1) (set_intersection2 a_1 a)) True % 5.14/5.31 Clause #202 (by clausification #[201]): ∀ (a a_1 : Iota), Eq (set_intersection2 a a_1) (set_intersection2 a_1 a) % 5.14/5.31 Clause #220 (by clausification #[51]): Eq (∀ (A B : Iota), finite A → finite (set_intersection2 A B)) False % 5.14/5.31 Clause #221 (by clausification #[220]): ∀ (a : Iota), Eq (Not (∀ (B : Iota), finite (skS.0 3 a) → finite (set_intersection2 (skS.0 3 a) B))) True % 5.14/5.31 Clause #222 (by clausification #[221]): ∀ (a : Iota), Eq (∀ (B : Iota), finite (skS.0 3 a) → finite (set_intersection2 (skS.0 3 a) B)) False % 5.14/5.31 Clause #223 (by clausification #[222]): ∀ (a a_1 : Iota), Eq (Not (finite (skS.0 3 a) → finite (set_intersection2 (skS.0 3 a) (skS.0 4 a a_1)))) True % 5.14/5.31 Clause #224 (by clausification #[223]): ∀ (a a_1 : Iota), Eq (finite (skS.0 3 a) → finite (set_intersection2 (skS.0 3 a) (skS.0 4 a a_1))) False % 5.14/5.31 Clause #225 (by clausification #[224]): ∀ (a : Iota), Eq (finite (skS.0 3 a)) True % 5.14/5.31 Clause #226 (by clausification #[224]): ∀ (a a_1 : Iota), Eq (finite (set_intersection2 (skS.0 3 a) (skS.0 4 a a_1))) False % 5.14/5.31 Clause #229 (by superposition #[225, 139]): ∀ (a a_1 : Iota), Or (Eq True False) (Eq (finite (set_intersection2 a (skS.0 3 a_1))) True) % 5.14/5.31 Clause #409 (by clausification #[229]): ∀ (a a_1 : Iota), Eq (finite (set_intersection2 a (skS.0 3 a_1))) True % 5.14/5.31 Clause #413 (by superposition #[409, 202]): ∀ (a a_1 : Iota), Eq (finite (set_intersection2 (skS.0 3 a) a_1)) True % 5.14/5.31 Clause #585 (by superposition #[226, 413]): Eq True False % 5.14/5.31 Clause #586 (by clausification #[585]): False % 5.14/5.31 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------