%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : SYN380+1 : TPTP v9.2.0. Released v2.0.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n023.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 3.37s 3.58s % Output : Proof 3.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.08/0.12 % Problem : SYN380+1 : TPTP v9.2.0. Released v2.0.0. % 0.08/0.14 % Command : duper %s % 0.14/0.35 % Computer : n023.cluster.edu % 0.14/0.35 % Model : x86_64 x86_64 % 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.35 % Memory : 8042.1875MB % 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.35 % CPULimit : 300 % 0.14/0.35 % WCLimit : 300 % 0.14/0.35 % DateTime : Thu Oct 2 15:22:23 EDT 2025 % 0.14/0.35 % CPUTime : % 3.37/3.58 SZS status Theorem for theBenchmark.p % 3.37/3.58 SZS output start Proof for theBenchmark.p % 3.37/3.58 Clause #0 (by assumption #[]): Eq % 3.37/3.58 (Not % 3.37/3.58 ((∀ (W : Iota), Not (big_r W W)) → % 3.37/3.58 Exists fun X => Exists fun Y => And (Not (big_r X Y)) (big_q Y X → ∀ (Z : Iota), big_q Z Z))) % 3.37/3.58 True % 3.37/3.58 Clause #1 (by clausification #[0]): Eq % 3.37/3.58 ((∀ (W : Iota), Not (big_r W W)) → % 3.37/3.58 Exists fun X => Exists fun Y => And (Not (big_r X Y)) (big_q Y X → ∀ (Z : Iota), big_q Z Z)) % 3.37/3.58 False % 3.37/3.58 Clause #2 (by clausification #[1]): Eq (∀ (W : Iota), Not (big_r W W)) True % 3.37/3.58 Clause #3 (by clausification #[1]): Eq (Exists fun X => Exists fun Y => And (Not (big_r X Y)) (big_q Y X → ∀ (Z : Iota), big_q Z Z)) False % 3.37/3.58 Clause #4 (by clausification #[2]): ∀ (a : Iota), Eq (Not (big_r a a)) True % 3.37/3.58 Clause #5 (by clausification #[4]): ∀ (a : Iota), Eq (big_r a a) False % 3.37/3.58 Clause #6 (by clausification #[3]): ∀ (a : Iota), Eq (Exists fun Y => And (Not (big_r a Y)) (big_q Y a → ∀ (Z : Iota), big_q Z Z)) False % 3.37/3.58 Clause #7 (by clausification #[6]): ∀ (a a_1 : Iota), Eq (And (Not (big_r a a_1)) (big_q a_1 a → ∀ (Z : Iota), big_q Z Z)) False % 3.37/3.58 Clause #8 (by clausification #[7]): ∀ (a a_1 : Iota), Or (Eq (Not (big_r a a_1)) False) (Eq (big_q a_1 a → ∀ (Z : Iota), big_q Z Z) False) % 3.37/3.58 Clause #9 (by clausification #[8]): ∀ (a a_1 : Iota), Or (Eq (big_q a a_1 → ∀ (Z : Iota), big_q Z Z) False) (Eq (big_r a_1 a) True) % 3.37/3.58 Clause #10 (by clausification #[9]): ∀ (a a_1 : Iota), Or (Eq (big_r a a_1) True) (Eq (big_q a_1 a) True) % 3.37/3.58 Clause #11 (by clausification #[9]): ∀ (a a_1 : Iota), Or (Eq (big_r a a_1) True) (Eq (∀ (Z : Iota), big_q Z Z) False) % 3.37/3.58 Clause #12 (by clausification #[11]): ∀ (a a_1 a_2 : Iota), Or (Eq (big_r a a_1) True) (Eq (Not (big_q (skS.0 0 a_2) (skS.0 0 a_2))) True) % 3.37/3.58 Clause #13 (by clausification #[12]): ∀ (a a_1 a_2 : Iota), Or (Eq (big_r a a_1) True) (Eq (big_q (skS.0 0 a_2) (skS.0 0 a_2)) False) % 3.37/3.58 Clause #14 (by superposition #[13, 10]): ∀ (a a_1 a_2 : Iota), Or (Eq (big_r a a_1) True) (Or (Eq (big_r (skS.0 0 a_2) (skS.0 0 a_2)) True) (Eq False True)) % 3.37/3.58 Clause #15 (by clausification #[14]): ∀ (a a_1 a_2 : Iota), Or (Eq (big_r a a_1) True) (Eq (big_r (skS.0 0 a_2) (skS.0 0 a_2)) True) % 3.37/3.58 Clause #17 (by superposition #[15, 5]): ∀ (a a_1 : Iota), Or (Eq (big_r a a_1) True) (Eq True False) % 3.37/3.58 Clause #19 (by clausification #[17]): ∀ (a a_1 : Iota), Eq (big_r a a_1) True % 3.37/3.58 Clause #21 (by superposition #[19, 5]): Eq True False % 3.37/3.58 Clause #23 (by clausification #[21]): False % 3.37/3.58 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------