%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : SET062+3 : TPTP v9.2.0. Released v2.2.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n013.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 07:59:31 PM UTC 2025 % Result : Theorem 3.55s 3.71s % Output : Proof 3.55s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.10/0.12 % Problem : SET062+3 : TPTP v9.2.0. Released v2.2.0. % 0.10/0.13 % Command : duper %s % 0.13/0.34 % Computer : n013.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 : Thu Oct 2 13:51:08 EDT 2025 % 0.13/0.34 % CPUTime : % 3.55/3.71 SZS status Theorem for theBenchmark.p % 3.55/3.71 SZS output start Proof for theBenchmark.p % 3.55/3.71 Clause #0 (by assumption #[]): Eq (∀ (B : Iota), Not (member B empty_set)) True % 3.55/3.71 Clause #1 (by assumption #[]): Eq (∀ (B C : Iota), Iff (subset B C) (∀ (D : Iota), member D B → member D C)) True % 3.55/3.71 Clause #4 (by assumption #[]): Eq (Not (∀ (B : Iota), subset empty_set B)) True % 3.55/3.71 Clause #6 (by clausification #[0]): ∀ (a : Iota), Eq (Not (member a empty_set)) True % 3.55/3.71 Clause #7 (by clausification #[6]): ∀ (a : Iota), Eq (member a empty_set) False % 3.55/3.71 Clause #8 (by clausification #[4]): Eq (∀ (B : Iota), subset empty_set B) False % 3.55/3.71 Clause #9 (by clausification #[8]): ∀ (a : Iota), Eq (Not (subset empty_set (skS.0 0 a))) True % 3.55/3.71 Clause #10 (by clausification #[9]): ∀ (a : Iota), Eq (subset empty_set (skS.0 0 a)) False % 3.55/3.71 Clause #19 (by clausification #[1]): ∀ (a : Iota), Eq (∀ (C : Iota), Iff (subset a C) (∀ (D : Iota), member D a → member D C)) True % 3.55/3.71 Clause #20 (by clausification #[19]): ∀ (a a_1 : Iota), Eq (Iff (subset a a_1) (∀ (D : Iota), member D a → member D a_1)) True % 3.55/3.71 Clause #21 (by clausification #[20]): ∀ (a a_1 : Iota), Or (Eq (subset a a_1) True) (Eq (∀ (D : Iota), member D a → member D a_1) False) % 3.55/3.71 Clause #23 (by clausification #[21]): ∀ (a a_1 a_2 : Iota), % 3.55/3.71 Or (Eq (subset a a_1) True) (Eq (Not (member (skS.0 2 a a_1 a_2) a → member (skS.0 2 a a_1 a_2) a_1)) True) % 3.55/3.71 Clause #24 (by clausification #[23]): ∀ (a a_1 a_2 : Iota), % 3.55/3.71 Or (Eq (subset a a_1) True) (Eq (member (skS.0 2 a a_1 a_2) a → member (skS.0 2 a a_1 a_2) a_1) False) % 3.55/3.71 Clause #25 (by clausification #[24]): ∀ (a a_1 a_2 : Iota), Or (Eq (subset a a_1) True) (Eq (member (skS.0 2 a a_1 a_2) a) True) % 3.55/3.71 Clause #27 (by superposition #[25, 7]): ∀ (a : Iota), Or (Eq (subset empty_set a) True) (Eq True False) % 3.55/3.71 Clause #28 (by clausification #[27]): ∀ (a : Iota), Eq (subset empty_set a) True % 3.55/3.71 Clause #29 (by superposition #[28, 10]): Eq True False % 3.55/3.71 Clause #30 (by clausification #[29]): False % 3.55/3.71 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------