%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : ITP110^1 : 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 07:51:14 PM UTC 2025 % Result : Theorem 21.35s 21.56s % Output : Proof 21.35s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : ITP110^1 : 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 00:51:53 EDT 2025 % 0.14/0.34 % CPUTime : % 21.35/21.56 SZS status Theorem for theBenchmark.p % 21.35/21.56 SZS output start Proof for theBenchmark.p % 21.35/21.56 Clause #0 (by assumption #[]): Eq (convex_a (lower_1391529426main_a f) → lower_311861424x_on_a top_top_set_a f) True % 21.35/21.56 Clause #2 (by assumption #[]): Eq (∀ (F : a → extended_ereal), lower_311861424x_on_a top_top_set_a F → convex_a (lower_1391529426main_a F)) True % 21.35/21.56 Clause #317 (by assumption #[]): Eq (Not (Eq (lower_311861424x_on_a top_top_set_a f) (convex_a (lower_1391529426main_a f)))) True % 21.35/21.56 Clause #318 (by clausification #[0]): Or (Eq (convex_a (lower_1391529426main_a f)) False) (Eq (lower_311861424x_on_a top_top_set_a f) True) % 21.35/21.56 Clause #327 (by clausification #[2]): ∀ (a : a → extended_ereal), Eq (lower_311861424x_on_a top_top_set_a a → convex_a (lower_1391529426main_a a)) True % 21.35/21.56 Clause #328 (by clausification #[327]): ∀ (a : a → extended_ereal), % 21.35/21.56 Or (Eq (lower_311861424x_on_a top_top_set_a a) False) (Eq (convex_a (lower_1391529426main_a a)) True) % 21.35/21.56 Clause #7812 (by clausification #[317]): Eq (Eq (lower_311861424x_on_a top_top_set_a f) (convex_a (lower_1391529426main_a f))) False % 21.35/21.56 Clause #7813 (by clausification #[7812]): Ne (lower_311861424x_on_a top_top_set_a f) (convex_a (lower_1391529426main_a f)) % 21.35/21.56 Clause #7814 (by clausification #[7813]): Or (Eq (lower_311861424x_on_a top_top_set_a f) False) (Eq (convex_a (lower_1391529426main_a f)) False) % 21.35/21.56 Clause #7815 (by clausification #[7813]): Or (Eq (lower_311861424x_on_a top_top_set_a f) True) (Eq (convex_a (lower_1391529426main_a f)) True) % 21.35/21.56 Clause #7826 (by superposition #[7815, 318]): Or (Eq (lower_311861424x_on_a top_top_set_a f) True) % 21.35/21.56 (Or (Eq True False) (Eq (lower_311861424x_on_a top_top_set_a f) True)) % 21.35/21.56 Clause #8111 (by clausification #[7826]): Or (Eq (lower_311861424x_on_a top_top_set_a f) True) (Eq (lower_311861424x_on_a top_top_set_a f) True) % 21.35/21.56 Clause #8112 (by eliminate duplicate literals #[8111]): Eq (lower_311861424x_on_a top_top_set_a f) True % 21.35/21.56 Clause #8114 (by backward demodulation #[8112, 7814]): Or (Eq True False) (Eq (convex_a (lower_1391529426main_a f)) False) % 21.35/21.56 Clause #8116 (by superposition #[8112, 328]): Or (Eq True False) (Eq (convex_a (lower_1391529426main_a f)) True) % 21.35/21.56 Clause #8441 (by clausification #[8116]): Eq (convex_a (lower_1391529426main_a f)) True % 21.35/21.56 Clause #8481 (by clausification #[8114]): Eq (convex_a (lower_1391529426main_a f)) False % 21.35/21.56 Clause #8482 (by superposition #[8481, 8441]): Eq False True % 21.35/21.56 Clause #8494 (by clausification #[8482]): False % 21.35/21.56 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------