%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : SEU163+2 : TPTP v9.2.0. Released v3.3.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n005.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 08:01:01 PM UTC 2025 % Result : Theorem 11.19s 11.36s % Output : Proof 11.19s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : SEU163+2 : TPTP v9.2.0. Released v3.3.0. % 0.12/0.13 % Command : duper %s % 0.13/0.35 % Computer : n005.cluster.edu % 0.13/0.35 % Model : x86_64 x86_64 % 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.35 % Memory : 8042.1875MB % 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.35 % CPULimit : 300 % 0.13/0.35 % WCLimit : 300 % 0.13/0.35 % DateTime : Fri Oct 3 04:36:23 EDT 2025 % 0.13/0.35 % CPUTime : % 11.19/11.36 SZS status Theorem for theBenchmark.p % 11.19/11.36 SZS output start Proof for theBenchmark.p % 11.19/11.36 Clause #35 (by assumption #[]): Eq (∀ (A B : Iota), in A B → subset A (union B)) True % 11.19/11.36 Clause #78 (by assumption #[]): Eq (Not (∀ (A B : Iota), in A B → subset A (union B))) True % 11.19/11.36 Clause #150 (by clausification #[35]): ∀ (a : Iota), Eq (∀ (B : Iota), in a B → subset a (union B)) True % 11.19/11.36 Clause #151 (by clausification #[150]): ∀ (a a_1 : Iota), Eq (in a a_1 → subset a (union a_1)) True % 11.19/11.36 Clause #152 (by clausification #[151]): ∀ (a a_1 : Iota), Or (Eq (in a a_1) False) (Eq (subset a (union a_1)) True) % 11.19/11.36 Clause #298 (by clausification #[78]): Eq (∀ (A B : Iota), in A B → subset A (union B)) False % 11.19/11.36 Clause #299 (by clausification #[298]): ∀ (a : Iota), Eq (Not (∀ (B : Iota), in (skS.0 7 a) B → subset (skS.0 7 a) (union B))) True % 11.19/11.36 Clause #300 (by clausification #[299]): ∀ (a : Iota), Eq (∀ (B : Iota), in (skS.0 7 a) B → subset (skS.0 7 a) (union B)) False % 11.19/11.36 Clause #301 (by clausification #[300]): ∀ (a a_1 : Iota), Eq (Not (in (skS.0 7 a) (skS.0 8 a a_1) → subset (skS.0 7 a) (union (skS.0 8 a a_1)))) True % 11.19/11.36 Clause #302 (by clausification #[301]): ∀ (a a_1 : Iota), Eq (in (skS.0 7 a) (skS.0 8 a a_1) → subset (skS.0 7 a) (union (skS.0 8 a a_1))) False % 11.19/11.36 Clause #303 (by clausification #[302]): ∀ (a a_1 : Iota), Eq (in (skS.0 7 a) (skS.0 8 a a_1)) True % 11.19/11.36 Clause #304 (by clausification #[302]): ∀ (a a_1 : Iota), Eq (subset (skS.0 7 a) (union (skS.0 8 a a_1))) False % 11.19/11.36 Clause #306 (by superposition #[303, 152]): ∀ (a a_1 : Iota), Or (Eq True False) (Eq (subset (skS.0 7 a) (union (skS.0 8 a a_1))) True) % 11.19/11.36 Clause #3118 (by clausification #[306]): ∀ (a a_1 : Iota), Eq (subset (skS.0 7 a) (union (skS.0 8 a a_1))) True % 11.19/11.36 Clause #3119 (by superposition #[3118, 304]): Eq True False % 11.19/11.36 Clause #3151 (by clausification #[3119]): False % 11.19/11.36 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------