%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : SYN318+1 : TPTP v9.2.0. Released v2.0.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n031.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 08:07:23 PM UTC 2025 % Result : Theorem 3.35s 3.54s % Output : Proof 3.35s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : SYN318+1 : TPTP v9.2.0. Released v2.0.0. % 0.07/0.13 % Command : duper %s % 0.13/0.34 % Computer : n031.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 15:42:23 EDT 2025 % 0.13/0.34 % CPUTime : % 3.35/3.54 SZS status Theorem for theBenchmark.p % 3.35/3.54 SZS output start Proof for theBenchmark.p % 3.35/3.54 Clause #0 (by assumption #[]): Eq (Not (Exists fun Y => (∀ (X : Iota), big_f X → big_f Y → big_g X) → p → ∀ (X : Iota), big_f X → big_g Y)) True % 3.35/3.54 Clause #1 (by clausification #[0]): Eq (Exists fun Y => (∀ (X : Iota), big_f X → big_f Y → big_g X) → p → ∀ (X : Iota), big_f X → big_g Y) False % 3.35/3.54 Clause #2 (by clausification #[1]): ∀ (a : Iota), Eq ((∀ (X : Iota), big_f X → big_f a → big_g X) → p → ∀ (X : Iota), big_f X → big_g a) False % 3.35/3.54 Clause #3 (by clausification #[2]): ∀ (a : Iota), Eq (∀ (X : Iota), big_f X → big_f a → big_g X) True % 3.35/3.54 Clause #4 (by clausification #[2]): ∀ (a : Iota), Eq (p → ∀ (X : Iota), big_f X → big_g a) False % 3.35/3.54 Clause #5 (by clausification #[3]): ∀ (a a_1 : Iota), Eq (big_f a → big_f a_1 → big_g a) True % 3.35/3.54 Clause #6 (by clausification #[5]): ∀ (a a_1 : Iota), Or (Eq (big_f a) False) (Eq (big_f a_1 → big_g a) True) % 3.35/3.54 Clause #7 (by clausification #[6]): ∀ (a a_1 : Iota), Or (Eq (big_f a) False) (Or (Eq (big_f a_1) False) (Eq (big_g a) True)) % 3.35/3.54 Clause #9 (by clausification #[4]): ∀ (a : Iota), Eq (∀ (X : Iota), big_f X → big_g a) False % 3.35/3.54 Clause #10 (by clausification #[9]): ∀ (a a_1 : Iota), Eq (Not (big_f (skS.0 0 a a_1) → big_g a)) True % 3.35/3.54 Clause #11 (by clausification #[10]): ∀ (a a_1 : Iota), Eq (big_f (skS.0 0 a a_1) → big_g a) False % 3.35/3.54 Clause #12 (by clausification #[11]): ∀ (a a_1 : Iota), Eq (big_f (skS.0 0 a a_1)) True % 3.35/3.54 Clause #13 (by clausification #[11]): ∀ (a : Iota), Eq (big_g a) False % 3.35/3.54 Clause #14 (by superposition #[12, 7]): ∀ (a a_1 a_2 : Iota), Or (Eq True False) (Or (Eq (big_f a) False) (Eq (big_g (skS.0 0 a_1 a_2)) True)) % 3.35/3.54 Clause #15 (by clausification #[14]): ∀ (a a_1 a_2 : Iota), Or (Eq (big_f a) False) (Eq (big_g (skS.0 0 a_1 a_2)) True) % 3.35/3.54 Clause #16 (by superposition #[15, 12]): ∀ (a a_1 : Iota), Or (Eq (big_g (skS.0 0 a a_1)) True) (Eq False True) % 3.35/3.54 Clause #17 (by clausification #[16]): ∀ (a a_1 : Iota), Eq (big_g (skS.0 0 a a_1)) True % 3.35/3.54 Clause #18 (by superposition #[17, 13]): Eq True False % 3.35/3.54 Clause #19 (by clausification #[18]): False % 3.35/3.54 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------