%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : NUM343+1 : TPTP v9.2.0. Released v3.1.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n008.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 07:56:21 PM UTC 2025 % Result : Theorem 253.56s 253.74s % Output : Proof 253.56s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.13 % Problem : NUM343+1 : TPTP v9.2.0. Released v3.1.0. % 0.07/0.14 % Command : duper %s % 0.14/0.36 % Computer : n008.cluster.edu % 0.14/0.36 % Model : x86_64 x86_64 % 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.36 % Memory : 8042.1875MB % 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.36 % CPULimit : 300 % 0.14/0.36 % WCLimit : 300 % 0.14/0.36 % DateTime : Fri Oct 3 08:52:08 EDT 2025 % 0.14/0.36 % CPUTime : % 253.56/253.74 SZS status Theorem for theBenchmark.p % 253.56/253.74 SZS output start Proof for theBenchmark.p % 253.56/253.74 Clause #283 (by assumption #[]): Eq (∀ (X Y : Iota), Iff (less X Y) (And (Not (less Y X)) (Ne Y X))) True % 253.56/253.74 Clause #401 (by assumption #[]): Eq (Not (Exists fun X => And (less nn1 X) (less X n1) → sum n21 X n21)) True % 253.56/253.74 Clause #728 (by clausification #[401]): Eq (Exists fun X => And (less nn1 X) (less X n1) → sum n21 X n21) False % 253.56/253.74 Clause #729 (by clausification #[728]): ∀ (a : Iota), Eq (And (less nn1 a) (less a n1) → sum n21 a n21) False % 253.56/253.74 Clause #730 (by clausification #[729]): ∀ (a : Iota), Eq (And (less nn1 a) (less a n1)) True % 253.56/253.74 Clause #732 (by clausification #[730]): ∀ (a : Iota), Eq (less a n1) True % 253.56/253.74 Clause #1263 (by clausification #[283]): ∀ (a : Iota), Eq (∀ (Y : Iota), Iff (less a Y) (And (Not (less Y a)) (Ne Y a))) True % 253.56/253.74 Clause #1264 (by clausification #[1263]): ∀ (a a_1 : Iota), Eq (Iff (less a a_1) (And (Not (less a_1 a)) (Ne a_1 a))) True % 253.56/253.74 Clause #1266 (by clausification #[1264]): ∀ (a a_1 : Iota), Or (Eq (less a a_1) False) (Eq (And (Not (less a_1 a)) (Ne a_1 a)) True) % 253.56/253.74 Clause #36704 (by clausification #[1266]): ∀ (a a_1 : Iota), Or (Eq (less a a_1) False) (Eq (Ne a_1 a) True) % 253.56/253.74 Clause #36706 (by clausification #[36704]): ∀ (a a_1 : Iota), Or (Eq (less a a_1) False) (Ne a_1 a) % 253.56/253.74 Clause #36707 (by destructive equality resolution #[36706]): ∀ (a : Iota), Eq (less a a) False % 253.56/253.74 Clause #36708 (by superposition #[36707, 732]): Eq False True % 253.56/253.74 Clause #36709 (by clausification #[36708]): False % 253.56/253.74 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------