%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : SYN986+1.000 : TPTP v9.2.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n012.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 08:08:22 PM UTC 2025 % Result : Theorem 3.45s 3.64s % Output : Proof 3.45s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.02/0.12 % Problem : SYN986+1.000 : TPTP v9.2.0. Released v4.0.0. % 0.02/0.13 % Command : duper %s % 0.12/0.34 % Computer : n012.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 15:49:38 EDT 2025 % 0.12/0.34 % CPUTime : % 3.45/3.64 SZS status Theorem for theBenchmark.p % 3.45/3.64 SZS output start Proof for theBenchmark.p % 3.45/3.64 Clause #0 (by assumption #[]): Eq (∀ (Y : Iota), r Y zero (succ Y)) True % 3.45/3.64 Clause #2 (by assumption #[]): Eq (Not (Exists fun Z0 => r zero zero Z0)) True % 3.45/3.64 Clause #3 (by clausification #[0]): ∀ (a : Iota), Eq (r a zero (succ a)) True % 3.45/3.64 Clause #4 (by betaEtaReduce #[2]): Eq (Not (Exists (r zero zero))) True % 3.45/3.64 Clause #5 (by clausification #[4]): Eq (Exists (r zero zero)) False % 3.45/3.64 Clause #6 (by clausification #[5]): ∀ (a : Iota), Eq (r zero zero a) False % 3.45/3.64 Clause #7 (by superposition #[6, 3]): Eq False True % 3.45/3.64 Clause #8 (by clausification #[7]): False % 3.45/3.64 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------