%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : SEU158+3 : TPTP v9.2.0. Released v3.2.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n031.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 08:01:00 PM UTC 2025 % Result : Theorem 3.46s 3.67s % Output : Proof 3.46s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : SEU158+3 : TPTP v9.2.0. Released v3.2.0. % 0.07/0.13 % Command : duper %s % 0.14/0.34 % Computer : n031.cluster.edu % 0.14/0.34 % Model : x86_64 x86_64 % 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.34 % Memory : 8042.1875MB % 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.34 % CPULimit : 300 % 0.14/0.34 % WCLimit : 300 % 0.14/0.34 % DateTime : Fri Oct 3 05:07:53 EDT 2025 % 0.14/0.35 % CPUTime : % 3.46/3.67 SZS status Theorem for theBenchmark.p % 3.46/3.67 SZS output start Proof for theBenchmark.p % 3.46/3.67 Clause #4 (by assumption #[]): Eq (Not (∀ (A B : Iota), Iff (subset (singleton A) B) (in A B))) True % 3.46/3.67 Clause #5 (by assumption #[]): Eq (∀ (A B : Iota), Iff (subset (singleton A) B) (in A B)) True % 3.46/3.67 Clause #16 (by clausification #[5]): ∀ (a : Iota), Eq (∀ (B : Iota), Iff (subset (singleton a) B) (in a B)) True % 3.46/3.67 Clause #17 (by clausification #[16]): ∀ (a a_1 : Iota), Eq (Iff (subset (singleton a) a_1) (in a a_1)) True % 3.46/3.67 Clause #18 (by clausification #[17]): ∀ (a a_1 : Iota), Or (Eq (subset (singleton a) a_1) True) (Eq (in a a_1) False) % 3.46/3.67 Clause #19 (by clausification #[17]): ∀ (a a_1 : Iota), Or (Eq (subset (singleton a) a_1) False) (Eq (in a a_1) True) % 3.46/3.67 Clause #20 (by clausification #[4]): Eq (∀ (A B : Iota), Iff (subset (singleton A) B) (in A B)) False % 3.46/3.67 Clause #21 (by clausification #[20]): ∀ (a : Iota), Eq (Not (∀ (B : Iota), Iff (subset (singleton (skS.0 2 a)) B) (in (skS.0 2 a) B))) True % 3.46/3.67 Clause #22 (by clausification #[21]): ∀ (a : Iota), Eq (∀ (B : Iota), Iff (subset (singleton (skS.0 2 a)) B) (in (skS.0 2 a) B)) False % 3.46/3.67 Clause #23 (by clausification #[22]): ∀ (a a_1 : Iota), Eq (Not (Iff (subset (singleton (skS.0 2 a)) (skS.0 3 a a_1)) (in (skS.0 2 a) (skS.0 3 a a_1)))) True % 3.46/3.67 Clause #24 (by clausification #[23]): ∀ (a a_1 : Iota), Eq (Iff (subset (singleton (skS.0 2 a)) (skS.0 3 a a_1)) (in (skS.0 2 a) (skS.0 3 a a_1))) False % 3.46/3.67 Clause #25 (by clausification #[24]): ∀ (a a_1 : Iota), % 3.46/3.67 Or (Eq (subset (singleton (skS.0 2 a)) (skS.0 3 a a_1)) False) (Eq (in (skS.0 2 a) (skS.0 3 a a_1)) False) % 3.46/3.67 Clause #26 (by clausification #[24]): ∀ (a a_1 : Iota), % 3.46/3.67 Or (Eq (subset (singleton (skS.0 2 a)) (skS.0 3 a a_1)) True) (Eq (in (skS.0 2 a) (skS.0 3 a a_1)) True) % 3.46/3.67 Clause #34 (by superposition #[26, 19]): ∀ (a a_1 : Iota), % 3.46/3.67 Or (Eq (in (skS.0 2 a) (skS.0 3 a a_1)) True) (Or (Eq True False) (Eq (in (skS.0 2 a) (skS.0 3 a a_1)) True)) % 3.46/3.67 Clause #36 (by clausification #[34]): ∀ (a a_1 : Iota), Or (Eq (in (skS.0 2 a) (skS.0 3 a a_1)) True) (Eq (in (skS.0 2 a) (skS.0 3 a a_1)) True) % 3.46/3.67 Clause #37 (by eliminate duplicate literals #[36]): ∀ (a a_1 : Iota), Eq (in (skS.0 2 a) (skS.0 3 a a_1)) True % 3.46/3.67 Clause #38 (by backward demodulation #[37, 25]): ∀ (a a_1 : Iota), Or (Eq (subset (singleton (skS.0 2 a)) (skS.0 3 a a_1)) False) (Eq True False) % 3.46/3.67 Clause #41 (by superposition #[37, 18]): ∀ (a a_1 : Iota), Or (Eq (subset (singleton (skS.0 2 a)) (skS.0 3 a a_1)) True) (Eq True False) % 3.46/3.67 Clause #43 (by clausification #[38]): ∀ (a a_1 : Iota), Eq (subset (singleton (skS.0 2 a)) (skS.0 3 a a_1)) False % 3.46/3.67 Clause #44 (by clausification #[41]): ∀ (a a_1 : Iota), Eq (subset (singleton (skS.0 2 a)) (skS.0 3 a a_1)) True % 3.46/3.67 Clause #45 (by superposition #[44, 43]): Eq True False % 3.46/3.67 Clause #47 (by clausification #[45]): False % 3.46/3.67 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------