%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : SYN379+1 : TPTP v9.2.0. Released v2.0.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n015.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 3.60s 3.77s % Output : Proof 3.60s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.06/0.12 % Problem : SYN379+1 : TPTP v9.2.0. Released v2.0.0. % 0.06/0.13 % Command : duper %s % 0.13/0.34 % Computer : n015.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 : Thu Oct 2 15:07:08 EDT 2025 % 0.13/0.34 % CPUTime : % 3.60/3.77 SZS status Theorem for theBenchmark.p % 3.60/3.77 SZS output start Proof for theBenchmark.p % 3.60/3.77 Clause #0 (by assumption #[]): Eq % 3.60/3.77 (Not % 3.60/3.77 ((∀ (X : Iota), big_p X) → % 3.60/3.77 Exists fun Y => (∀ (X Z : Iota), big_q X Y Z) → Not (∀ (Z : Iota), And (big_p Z) (Not (big_q Y Y Z))))) % 3.60/3.77 True % 3.60/3.77 Clause #1 (by clausification #[0]): Eq % 3.60/3.77 ((∀ (X : Iota), big_p X) → % 3.60/3.77 Exists fun Y => (∀ (X Z : Iota), big_q X Y Z) → Not (∀ (Z : Iota), And (big_p Z) (Not (big_q Y Y Z)))) % 3.60/3.77 False % 3.60/3.77 Clause #3 (by clausification #[1]): Eq (Exists fun Y => (∀ (X Z : Iota), big_q X Y Z) → Not (∀ (Z : Iota), And (big_p Z) (Not (big_q Y Y Z)))) False % 3.60/3.77 Clause #5 (by clausification #[3]): ∀ (a : Iota), Eq ((∀ (X Z : Iota), big_q X a Z) → Not (∀ (Z : Iota), And (big_p Z) (Not (big_q a a Z)))) False % 3.60/3.77 Clause #6 (by clausification #[5]): ∀ (a : Iota), Eq (∀ (X Z : Iota), big_q X a Z) True % 3.60/3.77 Clause #7 (by clausification #[5]): ∀ (a : Iota), Eq (Not (∀ (Z : Iota), And (big_p Z) (Not (big_q a a Z)))) False % 3.60/3.77 Clause #8 (by clausification #[6]): ∀ (a a_1 : Iota), Eq (∀ (Z : Iota), big_q a a_1 Z) True % 3.60/3.77 Clause #9 (by clausification #[8]): ∀ (a a_1 a_2 : Iota), Eq (big_q a a_1 a_2) True % 3.60/3.77 Clause #10 (by clausification #[7]): ∀ (a : Iota), Eq (∀ (Z : Iota), And (big_p Z) (Not (big_q a a Z))) True % 3.60/3.77 Clause #11 (by clausification #[10]): ∀ (a a_1 : Iota), Eq (And (big_p a) (Not (big_q a_1 a_1 a))) True % 3.60/3.77 Clause #12 (by clausification #[11]): ∀ (a a_1 : Iota), Eq (Not (big_q a a a_1)) True % 3.60/3.77 Clause #13 (by clausification #[12]): ∀ (a a_1 : Iota), Eq (big_q a a a_1) False % 3.60/3.77 Clause #14 (by superposition #[13, 9]): Eq False True % 3.60/3.77 Clause #15 (by clausification #[14]): False % 3.60/3.77 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------