%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : ITP029^1 : TPTP v9.2.0. Released v7.5.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n028.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 07:51:04 PM UTC 2025 % Result : Theorem 3.65s 3.89s % Output : Proof 3.65s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : ITP029^1 : TPTP v9.2.0. Released v7.5.0. % 0.07/0.13 % Command : duper %s % 0.13/0.34 % Computer : n028.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 23:22:23 EDT 2025 % 0.13/0.34 % CPUTime : % 3.65/3.89 SZS status Theorem for theBenchmark.p % 3.65/3.89 SZS output start Proof for theBenchmark.p % 3.65/3.89 Clause #0 (by assumption #[]): Eq (Eq (h a2) (h b)) True % 3.65/3.89 Clause #1 (by assumption #[]): Eq (ord_less_int (h b) (h a2)) True % 3.65/3.89 Clause #103 (by assumption #[]): Eq (∀ (X : int), Not (ord_less_int X X)) True % 3.65/3.89 Clause #287 (by clausification #[0]): Eq (h a2) (h b) % 3.65/3.89 Clause #293 (by forward demodulation #[1, 287]): Eq (ord_less_int (h a2) (h a2)) True % 3.65/3.89 Clause #345 (by clausification #[103]): ∀ (a : int), Eq (Not (ord_less_int a a)) True % 3.65/3.89 Clause #346 (by clausification #[345]): ∀ (a : int), Eq (ord_less_int a a) False % 3.65/3.89 Clause #347 (by superposition #[346, 293]): Eq False True % 3.65/3.89 Clause #348 (by clausification #[347]): False % 3.65/3.89 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------