%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : NUM635^2 : TPTP v9.2.0. Released v3.7.0. % 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 07:56:53 PM UTC 2025 % Result : Theorem 3.54s 3.76s % Output : Proof 3.54s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.08/0.12 % Problem : NUM635^2 : TPTP v9.2.0. Released v3.7.0. % 0.08/0.13 % Command : duper %s % 0.14/0.34 % Computer : n008.cluster.edu % 0.14/0.34 % Model : x86_64 x86_64 % 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.34 % Memory : 8042.1875MB % 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.34 % CPULimit : 300 % 0.14/0.34 % WCLimit : 300 % 0.14/0.34 % DateTime : Fri Oct 3 07:28:53 EDT 2025 % 0.14/0.34 % CPUTime : % 3.54/3.76 SZS status Theorem for theBenchmark.p % 3.54/3.76 SZS output start Proof for theBenchmark.p % 3.54/3.76 Clause #1 (by assumption #[]): Eq (∀ (X Y : Iota), Eq (succ X) (succ Y) → Eq X Y) True % 3.54/3.76 Clause #3 (by assumption #[]): Eq (Not (∀ (X Y : Iota), Ne X Y → Ne (succ X) (succ Y))) True % 3.54/3.76 Clause #23 (by clausification #[1]): ∀ (a : Iota), Eq (∀ (Y : Iota), Eq (succ a) (succ Y) → Eq a Y) True % 3.54/3.76 Clause #24 (by clausification #[23]): ∀ (a a_1 : Iota), Eq (Eq (succ a) (succ a_1) → Eq a a_1) True % 3.54/3.76 Clause #25 (by clausification #[24]): ∀ (a a_1 : Iota), Or (Eq (Eq (succ a) (succ a_1)) False) (Eq (Eq a a_1) True) % 3.54/3.76 Clause #26 (by clausification #[25]): ∀ (a a_1 : Iota), Or (Eq (Eq a a_1) True) (Ne (succ a) (succ a_1)) % 3.54/3.76 Clause #27 (by clausification #[26]): ∀ (a a_1 : Iota), Or (Ne (succ a) (succ a_1)) (Eq a a_1) % 3.54/3.76 Clause #29 (by clausification #[3]): Eq (∀ (X Y : Iota), Ne X Y → Ne (succ X) (succ Y)) False % 3.54/3.76 Clause #30 (by clausification #[29]): ∀ (a : Iota), Eq (Not (∀ (Y : Iota), Ne (skS.0 1 a) Y → Ne (succ (skS.0 1 a)) (succ Y))) True % 3.54/3.76 Clause #31 (by clausification #[30]): ∀ (a : Iota), Eq (∀ (Y : Iota), Ne (skS.0 1 a) Y → Ne (succ (skS.0 1 a)) (succ Y)) False % 3.54/3.76 Clause #32 (by clausification #[31]): ∀ (a a_1 : Iota), Eq (Not (Ne (skS.0 1 a) (skS.0 2 a a_1) → Ne (succ (skS.0 1 a)) (succ (skS.0 2 a a_1)))) True % 3.54/3.76 Clause #33 (by clausification #[32]): ∀ (a a_1 : Iota), Eq (Ne (skS.0 1 a) (skS.0 2 a a_1) → Ne (succ (skS.0 1 a)) (succ (skS.0 2 a a_1))) False % 3.54/3.76 Clause #34 (by clausification #[33]): ∀ (a a_1 : Iota), Eq (Ne (skS.0 1 a) (skS.0 2 a a_1)) True % 3.54/3.76 Clause #35 (by clausification #[33]): ∀ (a a_1 : Iota), Eq (Ne (succ (skS.0 1 a)) (succ (skS.0 2 a a_1))) False % 3.54/3.76 Clause #36 (by clausification #[34]): ∀ (a a_1 : Iota), Ne (skS.0 1 a) (skS.0 2 a a_1) % 3.54/3.76 Clause #53 (by clausification #[35]): ∀ (a a_1 : Iota), Eq (succ (skS.0 1 a)) (succ (skS.0 2 a a_1)) % 3.54/3.76 Clause #56 (by superposition #[53, 27]): ∀ (a a_1 a_2 : Iota), Or (Ne (succ a) (succ (skS.0 1 a_1))) (Eq a (skS.0 2 a_1 a_2)) % 3.54/3.76 Clause #64 (by equality resolution #[56]): ∀ (a a_1 : Iota), Eq (skS.0 1 a) (skS.0 2 a a_1) % 3.54/3.76 Clause #70 (by forward contextual literal cutting #[64, 36]): False % 3.54/3.76 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------