%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : ITP225^3 : TPTP v9.2.1. Bugfixed v9.2.1. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n021.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 : Sat Feb 28 09:19:45 AM UTC 2026 % Result : Theorem 49.11s 49.39s % Output : Proof 49.11s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ITP225^3 : TPTP v9.2.1. Bugfixed v9.2.1. % 0.12/0.13 % Command : duper %s % 0.17/0.34 % Computer : n021.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Thu Feb 26 09:46:40 EST 2026 % 0.17/0.35 % CPUTime : % 49.11/49.39 SZS status Theorem for theBenchmark.p % 49.11/49.39 SZS output start Proof for theBenchmark.p % 49.11/49.39 Clause #3 (by assumption #[]): Eq (Eq m (suc na)) True % 49.11/49.39 Clause #10 (by assumption #[]): Eq (∀ (N : nat), ord_less_nat zero_zero_nat (suc N)) True % 49.11/49.39 Clause #9682 (by assumption #[]): Eq (Not (ord_less_nat zero_zero_nat m)) True % 49.11/49.39 Clause #9699 (by clausification #[3]): Eq m (suc na) % 49.11/49.39 Clause #9755 (by clausification #[10]): ∀ (a : nat), Eq (ord_less_nat zero_zero_nat (suc a)) True % 49.11/49.39 Clause #9757 (by superposition #[9755, 9699]): Eq (ord_less_nat zero_zero_nat m) True % 49.11/49.39 Clause #11444 (by clausification #[9682]): Eq (ord_less_nat zero_zero_nat m) False % 49.11/49.39 Clause #11445 (by superposition #[11444, 9757]): Eq False True % 49.11/49.39 Clause #11456 (by clausification #[11445]): False % 49.11/49.39 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------