%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : SYN376+1 : TPTP v9.2.0. Bugfixed v2.1.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n028.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 08:07:32 PM UTC 2025 % Result : Theorem 3.43s 3.67s % Output : Proof 3.43s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.12 % Problem : SYN376+1 : TPTP v9.2.0. Bugfixed v2.1.0. % 0.11/0.13 % Command : duper %s % 0.12/0.33 % Computer : n028.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 % 0.12/0.33 % CPULimit : 300 % 0.12/0.33 % WCLimit : 300 % 0.12/0.33 % DateTime : Thu Oct 2 15:14:08 EDT 2025 % 0.12/0.33 % CPUTime : % 3.43/3.67 SZS status Theorem for theBenchmark.p % 3.43/3.67 SZS output start Proof for theBenchmark.p % 3.43/3.67 Clause #0 (by assumption #[]): Eq % 3.43/3.67 (Not % 3.43/3.67 ((Exists fun X => ∀ (Y : Iota), Iff (big_p Y) (big_p X)) → % 3.43/3.67 Or (∀ (X : Iota), big_p X) (∀ (X : Iota), Not (big_p X)))) % 3.43/3.67 True % 3.43/3.67 Clause #1 (by clausification #[0]): Eq ((Exists fun X => ∀ (Y : Iota), Iff (big_p Y) (big_p X)) → Or (∀ (X : Iota), big_p X) (∀ (X : Iota), Not (big_p X))) % 3.43/3.67 False % 3.43/3.67 Clause #2 (by clausification #[1]): Eq (Exists fun X => ∀ (Y : Iota), Iff (big_p Y) (big_p X)) True % 3.43/3.67 Clause #3 (by clausification #[1]): Eq (Or (∀ (X : Iota), big_p X) (∀ (X : Iota), Not (big_p X))) False % 3.43/3.67 Clause #4 (by clausification #[2]): ∀ (a : Iota), Eq (∀ (Y : Iota), Iff (big_p Y) (big_p (skS.0 0 a))) True % 3.43/3.67 Clause #5 (by clausification #[4]): ∀ (a a_1 : Iota), Eq (Iff (big_p a) (big_p (skS.0 0 a_1))) True % 3.43/3.67 Clause #6 (by clausification #[5]): ∀ (a a_1 : Iota), Or (Eq (big_p a) True) (Eq (big_p (skS.0 0 a_1)) False) % 3.43/3.67 Clause #7 (by clausification #[5]): ∀ (a a_1 : Iota), Or (Eq (big_p a) False) (Eq (big_p (skS.0 0 a_1)) True) % 3.43/3.67 Clause #8 (by clausification #[3]): Eq (∀ (X : Iota), Not (big_p X)) False % 3.43/3.67 Clause #9 (by clausification #[3]): Eq (∀ (X : Iota), big_p X) False % 3.43/3.67 Clause #10 (by clausification #[8]): ∀ (a : Iota), Eq (Not (Not (big_p (skS.0 1 a)))) True % 3.43/3.67 Clause #11 (by clausification #[10]): ∀ (a : Iota), Eq (Not (big_p (skS.0 1 a))) False % 3.43/3.67 Clause #12 (by clausification #[11]): ∀ (a : Iota), Eq (big_p (skS.0 1 a)) True % 3.43/3.67 Clause #13 (by clausification #[9]): ∀ (a : Iota), Eq (Not (big_p (skS.0 2 a))) True % 3.43/3.67 Clause #14 (by clausification #[13]): ∀ (a : Iota), Eq (big_p (skS.0 2 a)) False % 3.43/3.67 Clause #15 (by superposition #[7, 12]): ∀ (a : Iota), Or (Eq True False) (Eq (big_p (skS.0 0 a)) True) % 3.43/3.67 Clause #16 (by clausification #[15]): ∀ (a : Iota), Eq (big_p (skS.0 0 a)) True % 3.43/3.67 Clause #17 (by superposition #[16, 6]): ∀ (a : Iota), Or (Eq (big_p a) True) (Eq True False) % 3.43/3.67 Clause #18 (by clausification #[17]): ∀ (a : Iota), Eq (big_p a) True % 3.43/3.67 Clause #19 (by superposition #[18, 14]): Eq True False % 3.43/3.67 Clause #20 (by clausification #[19]): False % 3.43/3.67 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------