%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : SEU116+1 : TPTP v9.2.0. Released v3.2.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n003.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 08:00:53 PM UTC 2025 % Result : Theorem 4.47s 4.64s % Output : Proof 4.47s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.12 % Problem : SEU116+1 : TPTP v9.2.0. Released v3.2.0. % 0.12/0.13 % Command : duper %s % 0.13/0.36 % Computer : n003.cluster.edu % 0.13/0.36 % Model : x86_64 x86_64 % 0.13/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.36 % Memory : 8042.1875MB % 0.13/0.36 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.36 % CPULimit : 300 % 0.13/0.36 % WCLimit : 300 % 0.13/0.36 % DateTime : Fri Oct 3 04:34:23 EDT 2025 % 0.13/0.36 % CPUTime : % 4.47/4.64 SZS status Theorem for theBenchmark.p % 4.47/4.64 SZS output start Proof for theBenchmark.p % 4.47/4.64 Clause #20 (by assumption #[]): Eq (∀ (A B : Iota), element B (finite_subsets A) → finite B) True % 4.47/4.64 Clause #29 (by assumption #[]): Eq (Not (∀ (A B : Iota), element B (finite_subsets A) → finite B)) True % 4.47/4.64 Clause #40 (by clausification #[20]): ∀ (a : Iota), Eq (∀ (B : Iota), element B (finite_subsets a) → finite B) True % 4.47/4.64 Clause #41 (by clausification #[40]): ∀ (a a_1 : Iota), Eq (element a (finite_subsets a_1) → finite a) True % 4.47/4.64 Clause #42 (by clausification #[41]): ∀ (a a_1 : Iota), Or (Eq (element a (finite_subsets a_1)) False) (Eq (finite a) True) % 4.47/4.64 Clause #48 (by clausification #[29]): Eq (∀ (A B : Iota), element B (finite_subsets A) → finite B) False % 4.47/4.64 Clause #49 (by clausification #[48]): ∀ (a : Iota), Eq (Not (∀ (B : Iota), element B (finite_subsets (skS.0 1 a)) → finite B)) True % 4.47/4.64 Clause #50 (by clausification #[49]): ∀ (a : Iota), Eq (∀ (B : Iota), element B (finite_subsets (skS.0 1 a)) → finite B) False % 4.47/4.64 Clause #51 (by clausification #[50]): ∀ (a a_1 : Iota), Eq (Not (element (skS.0 2 a a_1) (finite_subsets (skS.0 1 a)) → finite (skS.0 2 a a_1))) True % 4.47/4.64 Clause #52 (by clausification #[51]): ∀ (a a_1 : Iota), Eq (element (skS.0 2 a a_1) (finite_subsets (skS.0 1 a)) → finite (skS.0 2 a a_1)) False % 4.47/4.64 Clause #53 (by clausification #[52]): ∀ (a a_1 : Iota), Eq (element (skS.0 2 a a_1) (finite_subsets (skS.0 1 a))) True % 4.47/4.64 Clause #54 (by clausification #[52]): ∀ (a a_1 : Iota), Eq (finite (skS.0 2 a a_1)) False % 4.47/4.64 Clause #55 (by superposition #[53, 42]): ∀ (a a_1 : Iota), Or (Eq True False) (Eq (finite (skS.0 2 a a_1)) True) % 4.47/4.64 Clause #215 (by clausification #[55]): ∀ (a a_1 : Iota), Eq (finite (skS.0 2 a a_1)) True % 4.47/4.64 Clause #216 (by superposition #[215, 54]): Eq True False % 4.47/4.64 Clause #218 (by clausification #[216]): False % 4.47/4.64 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------