%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : SYO142^5 : TPTP v9.2.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n014.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 08:08:39 PM UTC 2025 % Result : Theorem 3.45s 3.63s % Output : Proof 3.45s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.10/0.11 % Problem : SYO142^5 : TPTP v9.2.0. Released v4.0.0. % 0.10/0.13 % Command : duper %s % 0.12/0.33 % Computer : n014.cluster.edu % 0.12/0.33 % Model : x86_64 x86_64 % 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.33 % Memory : 8042.1875MB % 0.12/0.33 % 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 : Fri Oct 3 13:16:23 EDT 2025 % 0.12/0.34 % CPUTime : % 3.45/3.63 SZS status Theorem for theBenchmark.p % 3.45/3.63 SZS output start Proof for theBenchmark.p % 3.45/3.63 Clause #0 (by assumption #[]): Eq (Not (Exists fun Xx => Exists fun Xy => And (p Xx → p (f (f Xy))) (p Xy → p (f (f a))))) True % 3.45/3.63 Clause #1 (by clausification #[0]): Eq (Exists fun Xx => Exists fun Xy => And (p Xx → p (f (f Xy))) (p Xy → p (f (f a)))) False % 3.45/3.63 Clause #2 (by clausification #[1]): ∀ (a_1 : Iota), Eq (Exists fun Xy => And (p a_1 → p (f (f Xy))) (p Xy → p (f (f a)))) False % 3.45/3.63 Clause #3 (by clausification #[2]): ∀ (a_1 a_2 : Iota), Eq (And (p a_1 → p (f (f a_2))) (p a_2 → p (f (f a)))) False % 3.45/3.63 Clause #4 (by clausification #[3]): ∀ (a_1 a_2 : Iota), Or (Eq (p a_1 → p (f (f a_2))) False) (Eq (p a_2 → p (f (f a))) False) % 3.45/3.63 Clause #5 (by clausification #[4]): ∀ (a_1 a_2 : Iota), Or (Eq (p a_1 → p (f (f a))) False) (Eq (p a_2) True) % 3.45/3.63 Clause #6 (by clausification #[4]): ∀ (a_1 : Iota), Or (Eq (p a_1 → p (f (f a))) False) (Eq (p (f (f a_1))) False) % 3.45/3.63 Clause #7 (by clausification #[5]): ∀ (a a_1 : Iota), Or (Eq (p a) True) (Eq (p a_1) True) % 3.45/3.63 Clause #9 (by equality factoring #[7]): ∀ (a : Iota), Or (Ne True True) (Eq (p a) True) % 3.45/3.63 Clause #10 (by clausification #[9]): ∀ (a : Iota), Or (Eq (p a) True) (Or (Eq True False) (Eq True False)) % 3.45/3.63 Clause #12 (by clausification #[10]): ∀ (a : Iota), Or (Eq (p a) True) (Eq True False) % 3.45/3.63 Clause #13 (by clausification #[12]): ∀ (a : Iota), Eq (p a) True % 3.45/3.63 Clause #15 (by clausification #[6]): ∀ (a_1 : Iota), Or (Eq (p (f (f a_1))) False) (Eq (p (f (f a))) False) % 3.45/3.63 Clause #17 (by superposition #[15, 13]): Or (Eq (p (f (f a))) False) (Eq False True) % 3.45/3.63 Clause #18 (by clausification #[17]): Eq (p (f (f a))) False % 3.45/3.63 Clause #19 (by superposition #[18, 13]): Eq False True % 3.45/3.63 Clause #20 (by clausification #[19]): False % 3.45/3.63 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------