%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : SYN366+1 : TPTP v9.2.0. Released v2.0.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n017.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 08:07:31 PM UTC 2025 % Result : Theorem 3.45s 3.68s % Output : Proof 3.45s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : SYN366+1 : TPTP v9.2.0. Released v2.0.0. % 0.07/0.13 % Command : duper %s % 0.12/0.34 % Computer : n017.cluster.edu % 0.12/0.34 % Model : x86_64 x86_64 % 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.34 % Memory : 8042.1875MB % 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.34 % CPULimit : 300 % 0.12/0.34 % WCLimit : 300 % 0.12/0.34 % DateTime : Thu Oct 2 15:10:23 EDT 2025 % 0.12/0.34 % CPUTime : % 3.45/3.68 SZS status Theorem for theBenchmark.p % 3.45/3.68 SZS output start Proof for theBenchmark.p % 3.45/3.68 Clause #0 (by assumption #[]): Eq % 3.45/3.68 (Not % 3.45/3.68 (And (∀ (U V : Iota), Iff (big_r U U) (big_r U V)) (∀ (W Z : Iota), Iff (big_r W W) (big_r Z W)) → % 3.45/3.68 (Exists fun X => big_r X X) → ∀ (Y : Iota), big_r Y Y)) % 3.45/3.68 True % 3.45/3.68 Clause #1 (by clausification #[0]): Eq % 3.45/3.68 (And (∀ (U V : Iota), Iff (big_r U U) (big_r U V)) (∀ (W Z : Iota), Iff (big_r W W) (big_r Z W)) → % 3.45/3.68 (Exists fun X => big_r X X) → ∀ (Y : Iota), big_r Y Y) % 3.45/3.68 False % 3.45/3.68 Clause #2 (by clausification #[1]): Eq (And (∀ (U V : Iota), Iff (big_r U U) (big_r U V)) (∀ (W Z : Iota), Iff (big_r W W) (big_r Z W))) True % 3.45/3.68 Clause #3 (by clausification #[1]): Eq ((Exists fun X => big_r X X) → ∀ (Y : Iota), big_r Y Y) False % 3.45/3.68 Clause #4 (by clausification #[2]): Eq (∀ (W Z : Iota), Iff (big_r W W) (big_r Z W)) True % 3.45/3.68 Clause #5 (by clausification #[2]): Eq (∀ (U V : Iota), Iff (big_r U U) (big_r U V)) True % 3.45/3.68 Clause #6 (by clausification #[4]): ∀ (a : Iota), Eq (∀ (Z : Iota), Iff (big_r a a) (big_r Z a)) True % 3.45/3.68 Clause #7 (by clausification #[6]): ∀ (a a_1 : Iota), Eq (Iff (big_r a a) (big_r a_1 a)) True % 3.45/3.68 Clause #9 (by clausification #[7]): ∀ (a a_1 : Iota), Or (Eq (big_r a a) False) (Eq (big_r a_1 a) True) % 3.45/3.68 Clause #10 (by clausification #[3]): Eq (Exists fun X => big_r X X) True % 3.45/3.68 Clause #11 (by clausification #[3]): Eq (∀ (Y : Iota), big_r Y Y) False % 3.45/3.68 Clause #12 (by clausification #[10]): ∀ (a : Iota), Eq (big_r (skS.0 0 a) (skS.0 0 a)) True % 3.45/3.68 Clause #13 (by clausification #[11]): ∀ (a : Iota), Eq (Not (big_r (skS.0 1 a) (skS.0 1 a))) True % 3.45/3.68 Clause #14 (by clausification #[13]): ∀ (a : Iota), Eq (big_r (skS.0 1 a) (skS.0 1 a)) False % 3.45/3.68 Clause #15 (by superposition #[9, 12]): ∀ (a a_1 : Iota), Or (Eq True False) (Eq (big_r a (skS.0 0 a_1)) True) % 3.45/3.68 Clause #16 (by clausification #[5]): ∀ (a : Iota), Eq (∀ (V : Iota), Iff (big_r a a) (big_r a V)) True % 3.45/3.68 Clause #17 (by clausification #[16]): ∀ (a a_1 : Iota), Eq (Iff (big_r a a) (big_r a a_1)) True % 3.45/3.68 Clause #18 (by clausification #[17]): ∀ (a a_1 : Iota), Or (Eq (big_r a a) True) (Eq (big_r a a_1) False) % 3.45/3.68 Clause #21 (by clausification #[15]): ∀ (a a_1 : Iota), Eq (big_r a (skS.0 0 a_1)) True % 3.45/3.68 Clause #23 (by superposition #[21, 18]): ∀ (a : Iota), Or (Eq (big_r a a) True) (Eq True False) % 3.45/3.68 Clause #24 (by clausification #[23]): ∀ (a : Iota), Eq (big_r a a) True % 3.45/3.68 Clause #25 (by superposition #[24, 14]): Eq True False % 3.45/3.68 Clause #27 (by clausification #[25]): False % 3.45/3.68 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------