%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : ITP077^2 : TPTP v9.2.0. Released v7.5.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n013.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 35.93s 36.12s % Output : Proof 35.93s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : ITP077^2 : TPTP v9.2.0. Released v7.5.0. % 0.07/0.13 % Command : duper %s % 0.14/0.34 % Computer : n013.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 00:48:53 EDT 2025 % 0.14/0.35 % CPUTime : % 35.93/36.12 SZS status Theorem for theBenchmark.p % 35.93/36.12 SZS output start Proof for theBenchmark.p % 35.93/36.12 Clause #0 (by assumption #[]): Eq (Eq (mset a qs2) (mset a qs)) True % 35.93/36.12 Clause #2 (by assumption #[]): Eq (Eq a3 (groups501227526m_list a qs)) True % 35.93/36.12 Clause #13 (by assumption #[]): Eq % 35.93/36.12 (∀ (A : Type), % 35.93/36.12 comm_monoid_add A → ∀ (Xs : list A), Eq (comm_m1079429914m_mset A (mset A Xs)) (groups501227526m_list A Xs)) % 35.93/36.12 True % 35.93/36.12 Clause #270 (by assumption #[]): Eq (comm_monoid_add a) True % 35.93/36.12 Clause #271 (by assumption #[]): Eq (Not (Eq a3 (groups501227526m_list a qs2))) True % 35.93/36.12 Clause #272 (by clausification #[0]): Eq (mset a qs2) (mset a qs) % 35.93/36.12 Clause #273 (by clausification #[2]): Eq a3 (groups501227526m_list a qs) % 35.93/36.12 Clause #518 (by clausification #[13]): ∀ (a : Type), % 35.93/36.12 Eq (comm_monoid_add a → ∀ (Xs : list a), Eq (comm_m1079429914m_mset a (mset a Xs)) (groups501227526m_list a Xs)) True % 35.93/36.12 Clause #519 (by clausification #[518]): ∀ (a : Type), % 35.93/36.12 Or (Eq (comm_monoid_add a) False) % 35.93/36.12 (Eq (∀ (Xs : list a), Eq (comm_m1079429914m_mset a (mset a Xs)) (groups501227526m_list a Xs)) True) % 35.93/36.12 Clause #520 (by clausification #[519]): ∀ (a : Type) (a_1 : list a), % 35.93/36.12 Or (Eq (comm_monoid_add a) False) (Eq (Eq (comm_m1079429914m_mset a (mset a a_1)) (groups501227526m_list a a_1)) True) % 35.93/36.12 Clause #521 (by clausification #[520]): ∀ (a : Type) (a_1 : list a), % 35.93/36.12 Or (Eq (comm_monoid_add a) False) (Eq (comm_m1079429914m_mset a (mset a a_1)) (groups501227526m_list a a_1)) % 35.93/36.12 Clause #522 (by superposition #[521, 270]): ∀ (a_1 : list a), Or (Eq (comm_m1079429914m_mset a (mset a a_1)) (groups501227526m_list a a_1)) (Eq False True) % 35.93/36.12 Clause #1424 (by clausification #[271]): Eq (Eq a3 (groups501227526m_list a qs2)) False % 35.93/36.12 Clause #1425 (by clausification #[1424]): Ne a3 (groups501227526m_list a qs2) % 35.93/36.12 Clause #15138 (by clausification #[522]): ∀ (a_1 : list a), Eq (comm_m1079429914m_mset a (mset a a_1)) (groups501227526m_list a a_1) % 35.93/36.12 Clause #15139 (by superposition #[15138, 272]): Eq (comm_m1079429914m_mset a (mset a qs)) (groups501227526m_list a qs2) % 35.93/36.12 Clause #15180 (by superposition #[15139, 15138]): Eq (groups501227526m_list a qs2) (groups501227526m_list a qs) % 35.93/36.12 Clause #15366 (by forward demodulation #[15180, 273]): Eq (groups501227526m_list a qs2) a3 % 35.93/36.12 Clause #15367 (by forward contextual literal cutting #[15366, 1425]): False % 35.93/36.12 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------