%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : ITP399_1 : TPTP v9.2.0. Released v8.0.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n001.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 07:52:13 PM UTC 2025 % Result : Theorem 9.30s 9.48s % Output : Proof 9.30s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.04/0.12 % Problem : ITP399_1 : TPTP v9.2.0. Released v8.0.0. % 0.04/0.13 % Command : duper %s % 0.13/0.34 % Computer : n001.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 22:31:23 EDT 2025 % 0.13/0.34 % CPUTime : % 9.30/9.48 SZS status Theorem for theBenchmark.p % 9.30/9.48 SZS output start Proof for theBenchmark.p % 9.30/9.48 Clause #0 (by assumption #[]): Eq (Not («complements$» «g$» («register_pair$» «f$» («complement$» («register_pair$a» «f$» «g$»))))) True % 9.30/9.48 Clause #3 (by assumption #[]): Eq («compatible$» «f$» «g$») True % 9.30/9.48 Clause #18 (by assumption #[]): Eq % 9.30/9.48 (∀ (A__questionmark_v0 : «A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$») % 9.30/9.48 (A__questionmark_v1 : «C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$»), % 9.30/9.48 «compatible$» A__questionmark_v0 A__questionmark_v1 → % 9.30/9.48 «complements$» A__questionmark_v1 % 9.30/9.48 («register_pair$» A__questionmark_v0 («complement$» («register_pair$a» A__questionmark_v0 A__questionmark_v1)))) % 9.30/9.48 True % 9.30/9.48 Clause #646 (by clausification #[0]): Eq («complements$» «g$» («register_pair$» «f$» («complement$» («register_pair$a» «f$» «g$»)))) False % 9.30/9.48 Clause #1053 (by clausification #[18]): ∀ (a : «A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$»), % 9.30/9.48 Eq % 9.30/9.48 (∀ (A__questionmark_v1 : «C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$»), % 9.30/9.48 «compatible$» a A__questionmark_v1 → % 9.30/9.48 «complements$» A__questionmark_v1 («register_pair$» a («complement$» («register_pair$a» a A__questionmark_v1)))) % 9.30/9.48 True % 9.30/9.48 Clause #1054 (by clausification #[1053]): ∀ (a : «A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$») % 9.30/9.48 (a_1 : «C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$»), % 9.30/9.48 Eq («compatible$» a a_1 → «complements$» a_1 («register_pair$» a («complement$» («register_pair$a» a a_1)))) True % 9.30/9.48 Clause #1055 (by clausification #[1054]): ∀ (a : «A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$») % 9.30/9.48 (a_1 : «C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$»), % 9.30/9.48 Or (Eq («compatible$» a a_1) False) % 9.30/9.48 (Eq («complements$» a_1 («register_pair$» a («complement$» («register_pair$a» a a_1)))) True) % 9.30/9.48 Clause #1056 (by superposition #[1055, 3]): Or (Eq («complements$» «g$» («register_pair$» «f$» («complement$» («register_pair$a» «f$» «g$»)))) True) (Eq False True) % 9.30/9.48 Clause #2698 (by clausification #[1056]): Eq («complements$» «g$» («register_pair$» «f$» («complement$» («register_pair$a» «f$» «g$»)))) True % 9.30/9.48 Clause #2699 (by superposition #[2698, 646]): Eq True False % 9.30/9.48 Clause #2703 (by clausification #[2699]): False % 9.30/9.48 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------