%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : GEO086+1 : TPTP v9.2.0. Released v2.4.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n024.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 07:47:57 PM UTC 2025 % Result : Theorem 4.10s 4.29s % Output : Proof 4.10s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : GEO086+1 : TPTP v9.2.0. Released v2.4.0. % 0.12/0.15 % Command : duper %s % 0.14/0.36 % Computer : n024.cluster.edu % 0.14/0.36 % Model : x86_64 x86_64 % 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.36 % Memory : 8042.1875MB % 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.36 % CPULimit : 300 % 0.14/0.36 % WCLimit : 300 % 0.14/0.36 % DateTime : Fri Oct 3 12:27:53 EDT 2025 % 0.14/0.36 % CPUTime : % 4.10/4.29 SZS status Theorem for theBenchmark.p % 4.10/4.29 SZS output start Proof for theBenchmark.p % 4.10/4.29 Clause #7 (by assumption #[]): Eq (∀ (C C1 : Iota), And (part_of C1 C) (Ne C1 C) → open C1) True % 4.10/4.29 Clause #16 (by assumption #[]): Eq (Not (∀ (C Cpp : Iota), And (open C) (part_of Cpp C) → open Cpp)) True % 4.10/4.29 Clause #17 (by clausification #[7]): ∀ (a : Iota), Eq (∀ (C1 : Iota), And (part_of C1 a) (Ne C1 a) → open C1) True % 4.10/4.29 Clause #18 (by clausification #[17]): ∀ (a a_1 : Iota), Eq (And (part_of a a_1) (Ne a a_1) → open a) True % 4.10/4.29 Clause #19 (by clausification #[18]): ∀ (a a_1 : Iota), Or (Eq (And (part_of a a_1) (Ne a a_1)) False) (Eq (open a) True) % 4.10/4.29 Clause #20 (by clausification #[19]): ∀ (a a_1 : Iota), Or (Eq (open a) True) (Or (Eq (part_of a a_1) False) (Eq (Ne a a_1) False)) % 4.10/4.29 Clause #21 (by clausification #[20]): ∀ (a a_1 : Iota), Or (Eq (open a) True) (Or (Eq (part_of a a_1) False) (Eq a a_1)) % 4.10/4.29 Clause #22 (by clausification #[16]): Eq (∀ (C Cpp : Iota), And (open C) (part_of Cpp C) → open Cpp) False % 4.10/4.29 Clause #23 (by clausification #[22]): ∀ (a : Iota), Eq (Not (∀ (Cpp : Iota), And (open (skS.0 0 a)) (part_of Cpp (skS.0 0 a)) → open Cpp)) True % 4.10/4.29 Clause #24 (by clausification #[23]): ∀ (a : Iota), Eq (∀ (Cpp : Iota), And (open (skS.0 0 a)) (part_of Cpp (skS.0 0 a)) → open Cpp) False % 4.10/4.29 Clause #25 (by clausification #[24]): ∀ (a a_1 : Iota), Eq (Not (And (open (skS.0 0 a)) (part_of (skS.0 1 a a_1) (skS.0 0 a)) → open (skS.0 1 a a_1))) True % 4.10/4.29 Clause #26 (by clausification #[25]): ∀ (a a_1 : Iota), Eq (And (open (skS.0 0 a)) (part_of (skS.0 1 a a_1) (skS.0 0 a)) → open (skS.0 1 a a_1)) False % 4.10/4.29 Clause #27 (by clausification #[26]): ∀ (a a_1 : Iota), Eq (And (open (skS.0 0 a)) (part_of (skS.0 1 a a_1) (skS.0 0 a))) True % 4.10/4.29 Clause #28 (by clausification #[26]): ∀ (a a_1 : Iota), Eq (open (skS.0 1 a a_1)) False % 4.10/4.29 Clause #29 (by clausification #[27]): ∀ (a a_1 : Iota), Eq (part_of (skS.0 1 a a_1) (skS.0 0 a)) True % 4.10/4.29 Clause #30 (by clausification #[27]): ∀ (a : Iota), Eq (open (skS.0 0 a)) True % 4.10/4.29 Clause #31 (by superposition #[29, 21]): ∀ (a a_1 : Iota), Or (Eq (open (skS.0 1 a a_1)) True) (Or (Eq True False) (Eq (skS.0 1 a a_1) (skS.0 0 a))) % 4.10/4.29 Clause #243 (by clausification #[31]): ∀ (a a_1 : Iota), Or (Eq (open (skS.0 1 a a_1)) True) (Eq (skS.0 1 a a_1) (skS.0 0 a)) % 4.10/4.29 Clause #244 (by superposition #[243, 28]): ∀ (a a_1 : Iota), Or (Eq (skS.0 1 a a_1) (skS.0 0 a)) (Eq True False) % 4.10/4.29 Clause #258 (by clausification #[244]): ∀ (a a_1 : Iota), Eq (skS.0 1 a a_1) (skS.0 0 a) % 4.10/4.29 Clause #260 (by backward demodulation #[258, 28]): ∀ (a : Iota), Eq (open (skS.0 0 a)) False % 4.10/4.29 Clause #265 (by superposition #[260, 30]): Eq False True % 4.10/4.29 Clause #319 (by clausification #[265]): False % 4.10/4.29 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------