%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : ITP029^2 : TPTP v9.2.0. Released v7.5.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n020.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 5.76s 5.94s % Output : Proof 5.76s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.11 % Problem : ITP029^2 : TPTP v9.2.0. Released v7.5.0. % 0.11/0.13 % Command : duper %s % 0.12/0.34 % Computer : n020.cluster.edu % 0.12/0.34 % Model : x86_64 x86_64 % 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.34 % Memory : 8042.1875MB % 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.34 % CPULimit : 300 % 0.12/0.34 % WCLimit : 300 % 0.12/0.34 % DateTime : Thu Oct 2 23:06:38 EDT 2025 % 0.12/0.34 % CPUTime : % 5.76/5.94 SZS status Theorem for theBenchmark.p % 5.76/5.94 SZS output start Proof for theBenchmark.p % 5.76/5.94 Clause #0 (by assumption #[]): Eq (Eq (h a2) (h b)) True % 5.76/5.94 Clause #1 (by assumption #[]): Eq (ord_less int (h b) (h a2)) True % 5.76/5.94 Clause #73 (by assumption #[]): Eq (∀ (A : Type), order A → ∀ (A3 : A), Not (ord_less A A3 A3)) True % 5.76/5.94 Clause #252 (by assumption #[]): Eq (order int) True % 5.76/5.94 Clause #273 (by clausification #[0]): Eq (h a2) (h b) % 5.76/5.94 Clause #274 (by forward demodulation #[1, 273]): Eq (ord_less int (h a2) (h a2)) True % 5.76/5.94 Clause #1057 (by clausification #[73]): ∀ (a : Type), Eq (order a → ∀ (A3 : a), Not (ord_less a A3 A3)) True % 5.76/5.94 Clause #1058 (by clausification #[1057]): ∀ (a : Type), Or (Eq (order a) False) (Eq (∀ (A3 : a), Not (ord_less a A3 A3)) True) % 5.76/5.94 Clause #1059 (by clausification #[1058]): ∀ (a : Type) (a_1 : a), Or (Eq (order a) False) (Eq (Not (ord_less a a_1 a_1)) True) % 5.76/5.94 Clause #1060 (by clausification #[1059]): ∀ (a : Type) (a_1 : a), Or (Eq (order a) False) (Eq (ord_less a a_1 a_1) False) % 5.76/5.94 Clause #1062 (by superposition #[1060, 252]): ∀ (a : int), Or (Eq (ord_less int a a) False) (Eq False True) % 5.76/5.94 Clause #1076 (by clausification #[1062]): ∀ (a : int), Eq (ord_less int a a) False % 5.76/5.94 Clause #1077 (by superposition #[1076, 274]): Eq False True % 5.76/5.94 Clause #1094 (by clausification #[1077]): False % 5.76/5.94 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------