%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : SYN396+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 08:07:35 PM UTC 2025 % Result : Theorem 3.33s 3.53s % Output : Proof 3.33s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : SYN396+1 : TPTP v9.2.0. Released v2.0.0. % 0.03/0.13 % Command : duper %s % 0.14/0.34 % Computer : n017.cluster.edu % 0.14/0.34 % Model : x86_64 x86_64 % 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.34 % Memory : 8042.1875MB % 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.34 % CPULimit : 300 % 0.14/0.34 % WCLimit : 300 % 0.14/0.34 % DateTime : Thu Oct 2 15:22:08 EDT 2025 % 0.14/0.34 % CPUTime : % 3.33/3.53 SZS status Theorem for theBenchmark.p % 3.33/3.53 SZS output start Proof for theBenchmark.p % 3.33/3.53 Clause #0 (by assumption #[]): Eq (Not (Iff (Not (∀ (X : Iota), f X)) (Exists fun Y => Not (f Y)))) True % 3.33/3.53 Clause #1 (by clausification #[0]): Eq (Iff (Not (∀ (X : Iota), f X)) (Exists fun Y => Not (f Y))) False % 3.33/3.53 Clause #2 (by clausification #[1]): Or (Eq (Not (∀ (X : Iota), f X)) False) (Eq (Exists fun Y => Not (f Y)) False) % 3.33/3.53 Clause #3 (by clausification #[1]): Or (Eq (Not (∀ (X : Iota), f X)) True) (Eq (Exists fun Y => Not (f Y)) True) % 3.33/3.53 Clause #4 (by clausification #[2]): Or (Eq (Exists fun Y => Not (f Y)) False) (Eq (∀ (X : Iota), f X) True) % 3.33/3.53 Clause #5 (by clausification #[4]): ∀ (a : Iota), Or (Eq (∀ (X : Iota), f X) True) (Eq (Not (f a)) False) % 3.33/3.53 Clause #6 (by clausification #[5]): ∀ (a a_1 : Iota), Or (Eq (Not (f a)) False) (Eq (f a_1) True) % 3.33/3.53 Clause #7 (by clausification #[6]): ∀ (a a_1 : Iota), Or (Eq (f a) True) (Eq (f a_1) True) % 3.33/3.53 Clause #8 (by equality factoring #[7]): ∀ (a : Iota), Or (Ne True True) (Eq (f a) True) % 3.33/3.53 Clause #9 (by clausification #[8]): ∀ (a : Iota), Or (Eq (f a) True) (Or (Eq True False) (Eq True False)) % 3.33/3.53 Clause #11 (by clausification #[9]): ∀ (a : Iota), Or (Eq (f a) True) (Eq True False) % 3.33/3.53 Clause #12 (by clausification #[11]): ∀ (a : Iota), Eq (f a) True % 3.33/3.53 Clause #13 (by clausification #[3]): Or (Eq (Exists fun Y => Not (f Y)) True) (Eq (∀ (X : Iota), f X) False) % 3.33/3.53 Clause #14 (by clausification #[13]): ∀ (a : Iota), Or (Eq (∀ (X : Iota), f X) False) (Eq (Not (f (skS.0 0 a))) True) % 3.33/3.53 Clause #15 (by clausification #[14]): ∀ (a a_1 : Iota), Or (Eq (Not (f (skS.0 0 a))) True) (Eq (Not (f (skS.0 1 a_1))) True) % 3.33/3.53 Clause #16 (by clausification #[15]): ∀ (a a_1 : Iota), Or (Eq (Not (f (skS.0 1 a))) True) (Eq (f (skS.0 0 a_1)) False) % 3.33/3.53 Clause #17 (by clausification #[16]): ∀ (a a_1 : Iota), Or (Eq (f (skS.0 0 a)) False) (Eq (f (skS.0 1 a_1)) False) % 3.33/3.53 Clause #18 (by superposition #[17, 12]): ∀ (a : Iota), Or (Eq (f (skS.0 1 a)) False) (Eq False True) % 3.33/3.53 Clause #19 (by clausification #[18]): ∀ (a : Iota), Eq (f (skS.0 1 a)) False % 3.33/3.53 Clause #20 (by superposition #[19, 12]): Eq False True % 3.33/3.53 Clause #21 (by clausification #[20]): False % 3.33/3.53 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------