%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : SYO171^5 : TPTP v9.2.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n026.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 08:08:41 PM UTC 2025 % Result : Theorem 4.05s 4.24s % Output : Proof 4.05s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.13/0.13 % Problem : SYO171^5 : TPTP v9.2.0. Released v4.0.0. % 0.13/0.14 % Command : duper %s % 0.13/0.35 % Computer : n026.cluster.edu % 0.13/0.35 % Model : x86_64 x86_64 % 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.35 % Memory : 8042.1875MB % 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.36 % CPULimit : 300 % 0.13/0.36 % WCLimit : 300 % 0.13/0.36 % DateTime : Fri Oct 3 13:16:23 EDT 2025 % 0.13/0.36 % CPUTime : % 4.05/4.24 SZS status Theorem for theBenchmark.p % 4.05/4.24 SZS output start Proof for theBenchmark.p % 4.05/4.24 Clause #0 (by assumption #[]): Eq % 4.05/4.24 (Not % 4.05/4.24 (Not % 4.05/4.24 (And % 4.05/4.24 (And % 4.05/4.24 (And (And (∀ (A : Iota), Or (g A a) (g (f A) A)) (∀ (A : Iota), Or (g A a) (g A (f A)))) % 4.05/4.24 (∀ (A B : Iota), Or (Not (g A B)) (g (f B) B))) % 4.05/4.24 (∀ (A B : Iota), Or (Not (g A B)) (g B (f B)))) % 4.05/4.24 (∀ (A B : Iota), Or (Not (g A B)) (Not (g B a)))))) % 4.05/4.24 True % 4.05/4.24 Clause #1 (by clausification #[0]): Eq % 4.05/4.24 (Not % 4.05/4.24 (And % 4.05/4.24 (And % 4.05/4.24 (And (And (∀ (A : Iota), Or (g A a) (g (f A) A)) (∀ (A : Iota), Or (g A a) (g A (f A)))) % 4.05/4.24 (∀ (A B : Iota), Or (Not (g A B)) (g (f B) B))) % 4.05/4.24 (∀ (A B : Iota), Or (Not (g A B)) (g B (f B)))) % 4.05/4.24 (∀ (A B : Iota), Or (Not (g A B)) (Not (g B a))))) % 4.05/4.24 False % 4.05/4.24 Clause #2 (by clausification #[1]): Eq % 4.05/4.24 (And % 4.05/4.24 (And % 4.05/4.24 (And (And (∀ (A : Iota), Or (g A a) (g (f A) A)) (∀ (A : Iota), Or (g A a) (g A (f A)))) % 4.05/4.24 (∀ (A B : Iota), Or (Not (g A B)) (g (f B) B))) % 4.05/4.24 (∀ (A B : Iota), Or (Not (g A B)) (g B (f B)))) % 4.05/4.24 (∀ (A B : Iota), Or (Not (g A B)) (Not (g B a)))) % 4.05/4.24 True % 4.05/4.24 Clause #3 (by clausification #[2]): Eq (∀ (A B : Iota), Or (Not (g A B)) (Not (g B a))) True % 4.05/4.24 Clause #4 (by clausification #[2]): Eq % 4.05/4.24 (And % 4.05/4.24 (And (And (∀ (A : Iota), Or (g A a) (g (f A) A)) (∀ (A : Iota), Or (g A a) (g A (f A)))) % 4.05/4.24 (∀ (A B : Iota), Or (Not (g A B)) (g (f B) B))) % 4.05/4.24 (∀ (A B : Iota), Or (Not (g A B)) (g B (f B)))) % 4.05/4.24 True % 4.05/4.24 Clause #5 (by clausification #[3]): ∀ (a_1 : Iota), Eq (∀ (B : Iota), Or (Not (g a_1 B)) (Not (g B a))) True % 4.05/4.24 Clause #6 (by clausification #[5]): ∀ (a_1 a_2 : Iota), Eq (Or (Not (g a_1 a_2)) (Not (g a_2 a))) True % 4.05/4.24 Clause #7 (by clausification #[6]): ∀ (a_1 a_2 : Iota), Or (Eq (Not (g a_1 a_2)) True) (Eq (Not (g a_2 a)) True) % 4.05/4.24 Clause #8 (by clausification #[7]): ∀ (a_1 a_2 : Iota), Or (Eq (Not (g a_1 a)) True) (Eq (g a_2 a_1) False) % 4.05/4.24 Clause #9 (by clausification #[8]): ∀ (a_1 a_2 : Iota), Or (Eq (g a_1 a_2) False) (Eq (g a_2 a) False) % 4.05/4.24 Clause #11 (by clausification #[4]): Eq % 4.05/4.24 (And (And (∀ (A : Iota), Or (g A a) (g (f A) A)) (∀ (A : Iota), Or (g A a) (g A (f A)))) % 4.05/4.24 (∀ (A B : Iota), Or (Not (g A B)) (g (f B) B))) % 4.05/4.24 True % 4.05/4.24 Clause #17 (by clausification #[11]): Eq (And (∀ (A : Iota), Or (g A a) (g (f A) A)) (∀ (A : Iota), Or (g A a) (g A (f A)))) True % 4.05/4.24 Clause #22 (by clausification #[17]): Eq (∀ (A : Iota), Or (g A a) (g A (f A))) True % 4.05/4.24 Clause #23 (by clausification #[17]): Eq (∀ (A : Iota), Or (g A a) (g (f A) A)) True % 4.05/4.24 Clause #24 (by clausification #[22]): ∀ (a_1 : Iota), Eq (Or (g a_1 a) (g a_1 (f a_1))) True % 4.05/4.24 Clause #25 (by clausification #[24]): ∀ (a_1 : Iota), Or (Eq (g a_1 a) True) (Eq (g a_1 (f a_1)) True) % 4.05/4.24 Clause #26 (by superposition #[25, 9]): ∀ (a_1 : Iota), Or (Eq (g a_1 a) True) (Or (Eq True False) (Eq (g (f a_1) a) False)) % 4.05/4.24 Clause #29 (by clausification #[23]): ∀ (a_1 : Iota), Eq (Or (g a_1 a) (g (f a_1) a_1)) True % 4.05/4.24 Clause #30 (by clausification #[29]): ∀ (a_1 : Iota), Or (Eq (g a_1 a) True) (Eq (g (f a_1) a_1) True) % 4.05/4.24 Clause #33 (by clausification #[26]): ∀ (a_1 : Iota), Or (Eq (g a_1 a) True) (Eq (g (f a_1) a) False) % 4.05/4.24 Clause #34 (by superposition #[33, 30]): Or (Eq (g a a) True) (Or (Eq (g a a) True) (Eq False True)) % 4.05/4.24 Clause #35 (by clausification #[34]): Or (Eq (g a a) True) (Eq (g a a) True) % 4.05/4.24 Clause #36 (by eliminate duplicate literals #[35]): Eq (g a a) True % 4.05/4.24 Clause #37 (by superposition #[36, 9]): Or (Eq True False) (Eq True False) % 4.05/4.24 Clause #40 (by clausification #[37]): Eq True False % 4.05/4.24 Clause #41 (by clausification #[40]): False % 4.05/4.24 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------