%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : SEU163+1 : TPTP v9.2.0. Released v3.3.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n026.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 3.55s 3.75s % Output : Proof 3.55s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.13 % Problem : SEU163+1 : TPTP v9.2.0. Released v3.3.0. % 0.03/0.14 % Command : duper %s % 0.15/0.36 % Computer : n026.cluster.edu % 0.15/0.36 % Model : x86_64 x86_64 % 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.36 % Memory : 8042.1875MB % 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.36 % CPULimit : 300 % 0.15/0.36 % WCLimit : 300 % 0.15/0.36 % DateTime : Fri Oct 3 05:38:23 EDT 2025 % 0.15/0.36 % CPUTime : % 3.55/3.75 SZS status Theorem for theBenchmark.p % 3.55/3.75 SZS output start Proof for theBenchmark.p % 3.55/3.75 Clause #3 (by assumption #[]): Eq (Not (∀ (A B : Iota), in A B → subset A (union B))) True % 3.55/3.75 Clause #4 (by assumption #[]): Eq (∀ (A B : Iota), in A B → subset A (union B)) True % 3.55/3.75 Clause #11 (by clausification #[4]): ∀ (a : Iota), Eq (∀ (B : Iota), in a B → subset a (union B)) True % 3.55/3.75 Clause #12 (by clausification #[11]): ∀ (a a_1 : Iota), Eq (in a a_1 → subset a (union a_1)) True % 3.55/3.75 Clause #13 (by clausification #[12]): ∀ (a a_1 : Iota), Or (Eq (in a a_1) False) (Eq (subset a (union a_1)) True) % 3.55/3.75 Clause #14 (by clausification #[3]): Eq (∀ (A B : Iota), in A B → subset A (union B)) False % 3.55/3.75 Clause #15 (by clausification #[14]): ∀ (a : Iota), Eq (Not (∀ (B : Iota), in (skS.0 0 a) B → subset (skS.0 0 a) (union B))) True % 3.55/3.75 Clause #16 (by clausification #[15]): ∀ (a : Iota), Eq (∀ (B : Iota), in (skS.0 0 a) B → subset (skS.0 0 a) (union B)) False % 3.55/3.75 Clause #17 (by clausification #[16]): ∀ (a a_1 : Iota), Eq (Not (in (skS.0 0 a) (skS.0 1 a a_1) → subset (skS.0 0 a) (union (skS.0 1 a a_1)))) True % 3.55/3.75 Clause #18 (by clausification #[17]): ∀ (a a_1 : Iota), Eq (in (skS.0 0 a) (skS.0 1 a a_1) → subset (skS.0 0 a) (union (skS.0 1 a a_1))) False % 3.55/3.75 Clause #19 (by clausification #[18]): ∀ (a a_1 : Iota), Eq (in (skS.0 0 a) (skS.0 1 a a_1)) True % 3.55/3.75 Clause #20 (by clausification #[18]): ∀ (a a_1 : Iota), Eq (subset (skS.0 0 a) (union (skS.0 1 a a_1))) False % 3.55/3.75 Clause #22 (by superposition #[19, 13]): ∀ (a a_1 : Iota), Or (Eq True False) (Eq (subset (skS.0 0 a) (union (skS.0 1 a a_1))) True) % 3.55/3.75 Clause #24 (by clausification #[22]): ∀ (a a_1 : Iota), Eq (subset (skS.0 0 a) (union (skS.0 1 a a_1))) True % 3.55/3.75 Clause #25 (by superposition #[24, 20]): Eq True False % 3.55/3.75 Clause #26 (by clausification #[25]): False % 3.55/3.75 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------