%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : SYN369+1 : TPTP v9.2.0. Released v2.0.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n016.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 08:07:31 PM UTC 2025 % Result : Theorem 3.35s 3.53s % Output : Proof 3.35s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : SYN369+1 : TPTP v9.2.0. Released v2.0.0. % 0.07/0.13 % Command : duper %s % 0.13/0.35 % Computer : n016.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 % 0.13/0.35 % CPULimit : 300 % 0.13/0.35 % WCLimit : 300 % 0.13/0.35 % DateTime : Thu Oct 2 15:19:53 EDT 2025 % 0.13/0.35 % CPUTime : % 3.35/3.53 SZS status Theorem for theBenchmark.p % 3.35/3.53 SZS output start Proof for theBenchmark.p % 3.35/3.53 Clause #0 (by assumption #[]): Eq (Not ((∀ (U V W : Iota), Or (big_p U V) (big_p V W)) → Exists fun X => ∀ (Y : Iota), big_p X Y)) True % 3.35/3.53 Clause #1 (by clausification #[0]): Eq ((∀ (U V W : Iota), Or (big_p U V) (big_p V W)) → Exists fun X => ∀ (Y : Iota), big_p X Y) False % 3.35/3.53 Clause #2 (by clausification #[1]): Eq (∀ (U V W : Iota), Or (big_p U V) (big_p V W)) True % 3.35/3.53 Clause #3 (by clausification #[1]): Eq (Exists fun X => ∀ (Y : Iota), big_p X Y) False % 3.35/3.53 Clause #4 (by clausification #[2]): ∀ (a : Iota), Eq (∀ (V W : Iota), Or (big_p a V) (big_p V W)) True % 3.35/3.53 Clause #5 (by clausification #[4]): ∀ (a a_1 : Iota), Eq (∀ (W : Iota), Or (big_p a a_1) (big_p a_1 W)) True % 3.35/3.53 Clause #6 (by clausification #[5]): ∀ (a a_1 a_2 : Iota), Eq (Or (big_p a a_1) (big_p a_1 a_2)) True % 3.35/3.53 Clause #7 (by clausification #[6]): ∀ (a a_1 a_2 : Iota), Or (Eq (big_p a a_1) True) (Eq (big_p a_1 a_2) True) % 3.35/3.53 Clause #13 (by clausification #[3]): ∀ (a : Iota), Eq (∀ (Y : Iota), big_p a Y) False % 3.35/3.53 Clause #14 (by clausification #[13]): ∀ (a a_1 : Iota), Eq (Not (big_p a (skS.0 0 a a_1))) True % 3.35/3.53 Clause #15 (by clausification #[14]): ∀ (a a_1 : Iota), Eq (big_p a (skS.0 0 a a_1)) False % 3.35/3.53 Clause #17 (by superposition #[15, 7]): ∀ (a a_1 : Iota), Or (Eq (big_p a a_1) True) (Eq False True) % 3.35/3.53 Clause #18 (by clausification #[17]): ∀ (a a_1 : Iota), Eq (big_p a a_1) True % 3.35/3.53 Clause #19 (by superposition #[18, 15]): Eq True False % 3.35/3.53 Clause #21 (by clausification #[19]): False % 3.35/3.53 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------