%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : SEV053^5 : TPTP v9.2.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n018.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 08:02:47 PM UTC 2025 % Result : Theorem 3.62s 3.81s % Output : Proof 3.62s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : SEV053^5 : TPTP v9.2.0. Released v4.0.0. % 0.03/0.13 % Command : duper %s % 0.13/0.34 % Computer : n018.cluster.edu % 0.13/0.34 % Model : x86_64 x86_64 % 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.34 % Memory : 8042.1875MB % 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.34 % CPULimit : 300 % 0.13/0.34 % WCLimit : 300 % 0.13/0.34 % DateTime : Fri Oct 3 01:34:08 EDT 2025 % 0.13/0.34 % CPUTime : % 3.62/3.81 SZS status Theorem for theBenchmark.p % 3.62/3.81 SZS output start Proof for theBenchmark.p % 3.62/3.81 Clause #0 (by assumption #[]): Eq % 3.62/3.81 (Not % 3.62/3.81 (And (∀ (Xx Xy Xz : a), And (cL Xx Xy) (cL Xy Xz) → cL Xx Xz) (∀ (X : b), cL (cA X) (cA (cF X))) → % 3.62/3.81 ∀ (Y : b), cL (cA Y) (cA (cF (cF Y))))) % 3.62/3.81 True % 3.62/3.81 Clause #1 (by clausification #[0]): Eq % 3.62/3.81 (And (∀ (Xx Xy Xz : a), And (cL Xx Xy) (cL Xy Xz) → cL Xx Xz) (∀ (X : b), cL (cA X) (cA (cF X))) → % 3.62/3.81 ∀ (Y : b), cL (cA Y) (cA (cF (cF Y)))) % 3.62/3.81 False % 3.62/3.81 Clause #2 (by clausification #[1]): Eq (And (∀ (Xx Xy Xz : a), And (cL Xx Xy) (cL Xy Xz) → cL Xx Xz) (∀ (X : b), cL (cA X) (cA (cF X)))) True % 3.62/3.81 Clause #3 (by clausification #[1]): Eq (∀ (Y : b), cL (cA Y) (cA (cF (cF Y)))) False % 3.62/3.81 Clause #4 (by clausification #[2]): Eq (∀ (X : b), cL (cA X) (cA (cF X))) True % 3.62/3.81 Clause #5 (by clausification #[2]): Eq (∀ (Xx Xy Xz : a), And (cL Xx Xy) (cL Xy Xz) → cL Xx Xz) True % 3.62/3.81 Clause #6 (by clausification #[4]): ∀ (a : b), Eq (cL (cA a) (cA (cF a))) True % 3.62/3.81 Clause #7 (by clausification #[5]): ∀ (a_1 : a), Eq (∀ (Xy Xz : a), And (cL a_1 Xy) (cL Xy Xz) → cL a_1 Xz) True % 3.62/3.81 Clause #8 (by clausification #[7]): ∀ (a_1 a_2 : a), Eq (∀ (Xz : a), And (cL a_1 a_2) (cL a_2 Xz) → cL a_1 Xz) True % 3.62/3.81 Clause #9 (by clausification #[8]): ∀ (a_1 a_2 a : a), Eq (And (cL a_1 a_2) (cL a_2 a) → cL a_1 a) True % 3.62/3.81 Clause #10 (by clausification #[9]): ∀ (a_1 a_2 a : a), Or (Eq (And (cL a_1 a_2) (cL a_2 a)) False) (Eq (cL a_1 a) True) % 3.62/3.81 Clause #11 (by clausification #[10]): ∀ (a_1 a_2 a : a), Or (Eq (cL a_1 a_2) True) (Or (Eq (cL a_1 a) False) (Eq (cL a a_2) False)) % 3.62/3.81 Clause #12 (by superposition #[11, 6]): ∀ (a_1 : b) (a : a), Or (Eq (cL (cA a_1) a) True) (Or (Eq (cL (cA (cF a_1)) a) False) (Eq False True)) % 3.62/3.81 Clause #13 (by clausification #[3]): ∀ (a : b), Eq (Not (cL (cA (skS.0 0 a)) (cA (cF (cF (skS.0 0 a)))))) True % 3.62/3.81 Clause #14 (by clausification #[13]): ∀ (a : b), Eq (cL (cA (skS.0 0 a)) (cA (cF (cF (skS.0 0 a))))) False % 3.62/3.81 Clause #15 (by clausification #[12]): ∀ (a_1 : b) (a : a), Or (Eq (cL (cA a_1) a) True) (Eq (cL (cA (cF a_1)) a) False) % 3.62/3.81 Clause #16 (by superposition #[15, 6]): ∀ (a : b), Or (Eq (cL (cA a) (cA (cF (cF a)))) True) (Eq False True) % 3.62/3.81 Clause #17 (by clausification #[16]): ∀ (a : b), Eq (cL (cA a) (cA (cF (cF a)))) True % 3.62/3.81 Clause #18 (by superposition #[17, 14]): Eq True False % 3.62/3.81 Clause #21 (by clausification #[18]): False % 3.62/3.81 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------