%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : ITP077^1 : TPTP v9.2.0. Released v7.5.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n011.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 07:51:10 PM UTC 2025 % Result : Theorem 6.20s 6.42s % Output : Proof 6.20s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.06/0.12 % Problem : ITP077^1 : TPTP v9.2.0. Released v7.5.0. % 0.06/0.13 % Command : duper %s % 0.12/0.34 % Computer : n011.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 22:23:08 EDT 2025 % 0.12/0.34 % CPUTime : % 6.20/6.42 SZS status Theorem for theBenchmark.p % 6.20/6.42 SZS output start Proof for theBenchmark.p % 6.20/6.42 Clause #0 (by assumption #[]): Eq (Eq (mset_a qs2) (mset_a qs)) True % 6.20/6.42 Clause #2 (by assumption #[]): Eq (Eq a3 (groups1792256535list_a qs)) True % 6.20/6.42 Clause #24 (by assumption #[]): Eq (∀ (Xs : list_a), Eq (comm_m543484931mset_a (mset_a Xs)) (groups1792256535list_a Xs)) True % 6.20/6.42 Clause #332 (by assumption #[]): Eq (Not (Eq a3 (groups1792256535list_a qs2))) True % 6.20/6.42 Clause #333 (by clausification #[0]): Eq (mset_a qs2) (mset_a qs) % 6.20/6.42 Clause #355 (by clausification #[2]): Eq a3 (groups1792256535list_a qs) % 6.20/6.42 Clause #474 (by clausification #[332]): Eq (Eq a3 (groups1792256535list_a qs2)) False % 6.20/6.42 Clause #475 (by clausification #[474]): Ne a3 (groups1792256535list_a qs2) % 6.20/6.42 Clause #1716 (by clausification #[24]): ∀ (a_1 : list_a), Eq (Eq (comm_m543484931mset_a (mset_a a_1)) (groups1792256535list_a a_1)) True % 6.20/6.42 Clause #1717 (by clausification #[1716]): ∀ (a_1 : list_a), Eq (comm_m543484931mset_a (mset_a a_1)) (groups1792256535list_a a_1) % 6.20/6.42 Clause #1718 (by superposition #[1717, 333]): Eq (comm_m543484931mset_a (mset_a qs)) (groups1792256535list_a qs2) % 6.20/6.42 Clause #1737 (by superposition #[1718, 1717]): Eq (groups1792256535list_a qs2) (groups1792256535list_a qs) % 6.20/6.42 Clause #1756 (by forward demodulation #[1737, 355]): Eq (groups1792256535list_a qs2) a3 % 6.20/6.42 Clause #1757 (by forward contextual literal cutting #[1756, 475]): False % 6.20/6.42 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------