%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : SET658+3 : TPTP v9.2.0. Released v2.2.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n015.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 08:00:21 PM UTC 2025 % Result : Theorem 10.84s 11.07s % Output : Proof 10.84s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : SET658+3 : TPTP v9.2.0. Released v2.2.0. % 0.07/0.13 % Command : duper %s % 0.13/0.35 % Computer : n015.cluster.edu % 0.13/0.35 % Model : x86_64 x86_64 % 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.35 % Memory : 8042.1875MB % 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.35 % CPULimit : 300 % 0.13/0.35 % WCLimit : 300 % 0.13/0.35 % DateTime : Thu Oct 2 13:38:23 EDT 2025 % 0.13/0.35 % CPUTime : % 10.84/11.07 SZS status Theorem for theBenchmark.p % 10.84/11.07 SZS output start Proof for theBenchmark.p % 10.84/11.07 Clause #0 (by assumption #[]): Eq % 10.84/11.07 (∀ (B : Iota), % 10.84/11.07 ilf_type B set_type → % 10.84/11.07 ∀ (C : Iota), % 10.84/11.07 ilf_type C binary_relation_type → subset (domain_of C) B → ilf_type C (relation_type B (range_of C))) % 10.84/11.07 True % 10.84/11.07 Clause #14 (by assumption #[]): Eq (∀ (B : Iota), ilf_type B set_type → subset B B) True % 10.84/11.07 Clause #27 (by assumption #[]): Eq (∀ (B : Iota), ilf_type B set_type) True % 10.84/11.07 Clause #28 (by assumption #[]): Eq (Not (∀ (B : Iota), ilf_type B binary_relation_type → ilf_type B (relation_type (domain_of B) (range_of B)))) True % 10.84/11.07 Clause #29 (by clausification #[27]): ∀ (a : Iota), Eq (ilf_type a set_type) True % 10.84/11.07 Clause #33 (by clausification #[14]): ∀ (a : Iota), Eq (ilf_type a set_type → subset a a) True % 10.84/11.07 Clause #34 (by clausification #[33]): ∀ (a : Iota), Or (Eq (ilf_type a set_type) False) (Eq (subset a a) True) % 10.84/11.07 Clause #35 (by forward demodulation #[34, 29]): ∀ (a : Iota), Or (Eq True False) (Eq (subset a a) True) % 10.84/11.07 Clause #36 (by clausification #[35]): ∀ (a : Iota), Eq (subset a a) True % 10.84/11.07 Clause #40 (by clausification #[0]): ∀ (a : Iota), % 10.84/11.07 Eq % 10.84/11.07 (ilf_type a set_type → % 10.84/11.07 ∀ (C : Iota), % 10.84/11.07 ilf_type C binary_relation_type → subset (domain_of C) a → ilf_type C (relation_type a (range_of C))) % 10.84/11.07 True % 10.84/11.07 Clause #41 (by clausification #[40]): ∀ (a : Iota), % 10.84/11.07 Or (Eq (ilf_type a set_type) False) % 10.84/11.07 (Eq % 10.84/11.07 (∀ (C : Iota), % 10.84/11.07 ilf_type C binary_relation_type → subset (domain_of C) a → ilf_type C (relation_type a (range_of C))) % 10.84/11.07 True) % 10.84/11.07 Clause #42 (by clausification #[41]): ∀ (a a_1 : Iota), % 10.84/11.07 Or (Eq (ilf_type a set_type) False) % 10.84/11.07 (Eq (ilf_type a_1 binary_relation_type → subset (domain_of a_1) a → ilf_type a_1 (relation_type a (range_of a_1))) % 10.84/11.07 True) % 10.84/11.07 Clause #43 (by clausification #[42]): ∀ (a a_1 : Iota), % 10.84/11.07 Or (Eq (ilf_type a set_type) False) % 10.84/11.07 (Or (Eq (ilf_type a_1 binary_relation_type) False) % 10.84/11.07 (Eq (subset (domain_of a_1) a → ilf_type a_1 (relation_type a (range_of a_1))) True)) % 10.84/11.07 Clause #44 (by clausification #[43]): ∀ (a a_1 : Iota), % 10.84/11.07 Or (Eq (ilf_type a set_type) False) % 10.84/11.07 (Or (Eq (ilf_type a_1 binary_relation_type) False) % 10.84/11.07 (Or (Eq (subset (domain_of a_1) a) False) (Eq (ilf_type a_1 (relation_type a (range_of a_1))) True))) % 10.84/11.07 Clause #45 (by forward demodulation #[44, 29]): ∀ (a a_1 : Iota), % 10.84/11.07 Or (Eq True False) % 10.84/11.07 (Or (Eq (ilf_type a binary_relation_type) False) % 10.84/11.07 (Or (Eq (subset (domain_of a) a_1) False) (Eq (ilf_type a (relation_type a_1 (range_of a))) True))) % 10.84/11.07 Clause #46 (by clausification #[45]): ∀ (a a_1 : Iota), % 10.84/11.07 Or (Eq (ilf_type a binary_relation_type) False) % 10.84/11.07 (Or (Eq (subset (domain_of a) a_1) False) (Eq (ilf_type a (relation_type a_1 (range_of a))) True)) % 10.84/11.07 Clause #102 (by clausification #[28]): Eq (∀ (B : Iota), ilf_type B binary_relation_type → ilf_type B (relation_type (domain_of B) (range_of B))) False % 10.84/11.07 Clause #103 (by clausification #[102]): ∀ (a : Iota), % 10.84/11.07 Eq % 10.84/11.07 (Not % 10.84/11.07 (ilf_type (skS.0 3 a) binary_relation_type → % 10.84/11.07 ilf_type (skS.0 3 a) (relation_type (domain_of (skS.0 3 a)) (range_of (skS.0 3 a))))) % 10.84/11.07 True % 10.84/11.07 Clause #104 (by clausification #[103]): ∀ (a : Iota), % 10.84/11.07 Eq % 10.84/11.07 (ilf_type (skS.0 3 a) binary_relation_type → % 10.84/11.07 ilf_type (skS.0 3 a) (relation_type (domain_of (skS.0 3 a)) (range_of (skS.0 3 a)))) % 10.84/11.07 False % 10.84/11.07 Clause #105 (by clausification #[104]): ∀ (a : Iota), Eq (ilf_type (skS.0 3 a) binary_relation_type) True % 10.84/11.07 Clause #106 (by clausification #[104]): ∀ (a : Iota), Eq (ilf_type (skS.0 3 a) (relation_type (domain_of (skS.0 3 a)) (range_of (skS.0 3 a)))) False % 10.84/11.07 Clause #107 (by superposition #[105, 46]): ∀ (a a_1 : Iota), % 10.84/11.07 Or (Eq True False) % 10.84/11.07 (Or (Eq (subset (domain_of (skS.0 3 a)) a_1) False) % 10.84/11.07 (Eq (ilf_type (skS.0 3 a) (relation_type a_1 (range_of (skS.0 3 a)))) True)) % 10.84/11.07 Clause #393 (by clausification #[107]): ∀ (a a_1 : Iota), % 10.84/11.07 Or (Eq (subset (domain_of (skS.0 3 a)) a_1) False) % 10.84/11.07 (Eq (ilf_type (skS.0 3 a) (relation_type a_1 (range_of (skS.0 3 a)))) True) % 10.84/11.07 Clause #394 (by superposition #[393, 36]): ∀ (a : Iota), % 10.84/11.07 Or (Eq (ilf_type (skS.0 3 a) (relation_type (domain_of (skS.0 3 a)) (range_of (skS.0 3 a)))) True) (Eq False True) % 10.84/11.07 Clause #1064 (by clausification #[394]): ∀ (a : Iota), Eq (ilf_type (skS.0 3 a) (relation_type (domain_of (skS.0 3 a)) (range_of (skS.0 3 a)))) True % 10.84/11.07 Clause #1065 (by superposition #[1064, 106]): Eq True False % 10.84/11.07 Clause #1071 (by clausification #[1065]): False % 10.84/11.07 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------