%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : SWB012+2 : TPTP v9.2.0. Released v5.2.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n014.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 08:03:24 PM UTC 2025 % Result : Theorem 6.20s 6.44s % Output : Proof 6.45s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.06/0.12 % Problem : SWB012+2 : TPTP v9.2.0. Released v5.2.0. % 0.06/0.13 % Command : duper %s % 0.12/0.34 % Computer : n014.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 11:54:53 EDT 2025 % 0.12/0.35 % CPUTime : % 6.20/6.44 SZS status Theorem for theBenchmark.p % 6.20/6.44 SZS output start Proof for theBenchmark.p % 6.20/6.44 Clause #0 (by assumption #[]): Eq (∀ (X C : Iota), Iff (iext uri_rdf_type X C) (icext C X)) True % 6.20/6.44 Clause #1 (by assumption #[]): Eq (∀ (P C X Y : Iota), And (iext uri_rdfs_domain P C) (iext P X Y) → icext C X) True % 6.20/6.44 Clause #2 (by assumption #[]): Eq % 6.20/6.44 (∀ (Z S1 C1 S2 C2 S3 C3 : Iota), % 6.20/6.44 And % 6.20/6.44 (And % 6.20/6.44 (And (And (And (iext uri_rdf_first S1 C1) (iext uri_rdf_rest S1 S2)) (iext uri_rdf_first S2 C2)) % 6.20/6.44 (iext uri_rdf_rest S2 S3)) % 6.20/6.44 (iext uri_rdf_first S3 C3)) % 6.20/6.44 (iext uri_rdf_rest S3 uri_rdf_nil) → % 6.20/6.44 Iff (iext uri_owl_intersectionOf Z S1) % 6.20/6.44 (And (And (And (And (ic Z) (ic C1)) (ic C2)) (ic C3)) % 6.20/6.44 (∀ (X : Iota), Iff (icext Z X) (And (And (icext C1 X) (icext C2 X)) (icext C3 X))))) % 6.20/6.44 True % 6.20/6.44 Clause #3 (by assumption #[]): Eq % 6.20/6.44 (∀ (Z P A : Iota), % 6.20/6.44 And (iext uri_owl_hasValue Z A) (iext uri_owl_onProperty Z P) → ∀ (X : Iota), Iff (icext Z X) (iext P X A)) % 6.20/6.44 True % 6.20/6.44 Clause #4 (by assumption #[]): Eq % 6.20/6.44 (Not % 6.20/6.44 (And (iext uri_rdf_type uri_ex_name uri_owl_FunctionalProperty) (iext uri_rdf_type uri_ex_alice uri_foaf_Person))) % 6.20/6.44 True % 6.20/6.44 Clause #5 (by assumption #[]): Eq % 6.20/6.44 (Exists fun BNODE_l1 => % 6.20/6.44 Exists fun BNODE_l2 => % 6.20/6.44 Exists fun BNODE_l3 => % 6.20/6.44 Exists fun BNODE_r => % 6.20/6.44 And % 6.20/6.44 (And % 6.20/6.44 (And % 6.20/6.44 (And % 6.20/6.44 (And % 6.20/6.44 (And % 6.20/6.44 (And % 6.20/6.44 (And % 6.20/6.44 (And % 6.20/6.44 (And % 6.20/6.44 (And % 6.20/6.44 (And (iext uri_rdf_type uri_foaf_Person uri_owl_Class) % 6.20/6.44 (iext uri_owl_intersectionOf uri_ex_PersonAttribute BNODE_l1)) % 6.20/6.44 (iext uri_rdf_first BNODE_l1 uri_owl_DatatypeProperty)) % 6.20/6.44 (iext uri_rdf_rest BNODE_l1 BNODE_l2)) % 6.20/6.44 (iext uri_rdf_first BNODE_l2 uri_owl_FunctionalProperty)) % 6.20/6.44 (iext uri_rdf_rest BNODE_l2 BNODE_l3)) % 6.20/6.44 (iext uri_rdf_first BNODE_l3 BNODE_r)) % 6.20/6.44 (iext uri_rdf_rest BNODE_l3 uri_rdf_nil)) % 6.20/6.44 (iext uri_rdf_type BNODE_r uri_owl_Restriction)) % 6.20/6.44 (iext uri_owl_onProperty BNODE_r uri_rdfs_domain)) % 6.20/6.44 (iext uri_owl_hasValue BNODE_r uri_foaf_Person)) % 6.20/6.44 (iext uri_rdf_type uri_ex_name uri_ex_PersonAttribute)) % 6.20/6.44 (iext uri_ex_name uri_ex_alice (literal_plain dat_str_alice))) % 6.20/6.44 True % 6.20/6.44 Clause #6 (by clausification #[1]): ∀ (a : Iota), Eq (∀ (C X Y : Iota), And (iext uri_rdfs_domain a C) (iext a X Y) → icext C X) True % 6.20/6.44 Clause #7 (by clausification #[6]): ∀ (a a_1 : Iota), Eq (∀ (X Y : Iota), And (iext uri_rdfs_domain a a_1) (iext a X Y) → icext a_1 X) True % 6.20/6.44 Clause #8 (by clausification #[7]): ∀ (a a_1 a_2 : Iota), Eq (∀ (Y : Iota), And (iext uri_rdfs_domain a a_1) (iext a a_2 Y) → icext a_1 a_2) True % 6.20/6.44 Clause #9 (by clausification #[8]): ∀ (a a_1 a_2 a_3 : Iota), Eq (And (iext uri_rdfs_domain a a_1) (iext a a_2 a_3) → icext a_1 a_2) True % 6.20/6.44 Clause #10 (by clausification #[9]): ∀ (a a_1 a_2 a_3 : Iota), Or (Eq (And (iext uri_rdfs_domain a a_1) (iext a a_2 a_3)) False) (Eq (icext a_1 a_2) True) % 6.20/6.44 Clause #11 (by clausification #[10]): ∀ (a a_1 a_2 a_3 : Iota), % 6.20/6.44 Or (Eq (icext a a_1) True) (Or (Eq (iext uri_rdfs_domain a_2 a) False) (Eq (iext a_2 a_1 a_3) False)) % 6.20/6.44 Clause #12 (by clausification #[0]): ∀ (a : Iota), Eq (∀ (C : Iota), Iff (iext uri_rdf_type a C) (icext C a)) True % 6.20/6.44 Clause #13 (by clausification #[12]): ∀ (a a_1 : Iota), Eq (Iff (iext uri_rdf_type a a_1) (icext a_1 a)) True % 6.20/6.44 Clause #14 (by clausification #[13]): ∀ (a a_1 : Iota), Or (Eq (iext uri_rdf_type a a_1) True) (Eq (icext a_1 a) False) % 6.20/6.44 Clause #15 (by clausification #[13]): ∀ (a a_1 : Iota), Or (Eq (iext uri_rdf_type a a_1) False) (Eq (icext a_1 a) True) % 6.20/6.44 Clause #16 (by clausification #[4]): Eq (And (iext uri_rdf_type uri_ex_name uri_owl_FunctionalProperty) (iext uri_rdf_type uri_ex_alice uri_foaf_Person)) % 6.20/6.46 False % 6.20/6.46 Clause #17 (by clausification #[16]): Or (Eq (iext uri_rdf_type uri_ex_name uri_owl_FunctionalProperty) False) % 6.20/6.46 (Eq (iext uri_rdf_type uri_ex_alice uri_foaf_Person) False) % 6.20/6.46 Clause #18 (by clausification #[3]): ∀ (a : Iota), % 6.20/6.46 Eq % 6.20/6.46 (∀ (P A : Iota), % 6.20/6.46 And (iext uri_owl_hasValue a A) (iext uri_owl_onProperty a P) → ∀ (X : Iota), Iff (icext a X) (iext P X A)) % 6.20/6.46 True % 6.20/6.46 Clause #19 (by clausification #[18]): ∀ (a a_1 : Iota), % 6.20/6.46 Eq % 6.20/6.46 (∀ (A : Iota), % 6.20/6.46 And (iext uri_owl_hasValue a A) (iext uri_owl_onProperty a a_1) → ∀ (X : Iota), Iff (icext a X) (iext a_1 X A)) % 6.20/6.46 True % 6.20/6.46 Clause #20 (by clausification #[19]): ∀ (a a_1 a_2 : Iota), % 6.20/6.46 Eq % 6.20/6.46 (And (iext uri_owl_hasValue a a_1) (iext uri_owl_onProperty a a_2) → ∀ (X : Iota), Iff (icext a X) (iext a_2 X a_1)) % 6.20/6.46 True % 6.20/6.46 Clause #21 (by clausification #[20]): ∀ (a a_1 a_2 : Iota), % 6.20/6.46 Or (Eq (And (iext uri_owl_hasValue a a_1) (iext uri_owl_onProperty a a_2)) False) % 6.20/6.46 (Eq (∀ (X : Iota), Iff (icext a X) (iext a_2 X a_1)) True) % 6.20/6.46 Clause #22 (by clausification #[21]): ∀ (a a_1 a_2 : Iota), % 6.20/6.46 Or (Eq (∀ (X : Iota), Iff (icext a X) (iext a_1 X a_2)) True) % 6.20/6.46 (Or (Eq (iext uri_owl_hasValue a a_2) False) (Eq (iext uri_owl_onProperty a a_1) False)) % 6.20/6.46 Clause #23 (by clausification #[22]): ∀ (a a_1 a_2 a_3 : Iota), % 6.20/6.46 Or (Eq (iext uri_owl_hasValue a a_1) False) % 6.20/6.46 (Or (Eq (iext uri_owl_onProperty a a_2) False) (Eq (Iff (icext a a_3) (iext a_2 a_3 a_1)) True)) % 6.20/6.46 Clause #25 (by clausification #[23]): ∀ (a a_1 a_2 a_3 : Iota), % 6.20/6.46 Or (Eq (iext uri_owl_hasValue a a_1) False) % 6.20/6.46 (Or (Eq (iext uri_owl_onProperty a a_2) False) (Or (Eq (icext a a_3) False) (Eq (iext a_2 a_3 a_1) True))) % 6.20/6.46 Clause #26 (by clausification #[2]): ∀ (a : Iota), % 6.20/6.46 Eq % 6.20/6.46 (∀ (S1 C1 S2 C2 S3 C3 : Iota), % 6.20/6.46 And % 6.20/6.46 (And % 6.20/6.46 (And (And (And (iext uri_rdf_first S1 C1) (iext uri_rdf_rest S1 S2)) (iext uri_rdf_first S2 C2)) % 6.20/6.46 (iext uri_rdf_rest S2 S3)) % 6.20/6.46 (iext uri_rdf_first S3 C3)) % 6.20/6.46 (iext uri_rdf_rest S3 uri_rdf_nil) → % 6.20/6.46 Iff (iext uri_owl_intersectionOf a S1) % 6.20/6.46 (And (And (And (And (ic a) (ic C1)) (ic C2)) (ic C3)) % 6.20/6.46 (∀ (X : Iota), Iff (icext a X) (And (And (icext C1 X) (icext C2 X)) (icext C3 X))))) % 6.20/6.46 True % 6.20/6.46 Clause #27 (by clausification #[26]): ∀ (a a_1 : Iota), % 6.20/6.46 Eq % 6.20/6.46 (∀ (C1 S2 C2 S3 C3 : Iota), % 6.20/6.46 And % 6.20/6.46 (And % 6.20/6.46 (And (And (And (iext uri_rdf_first a C1) (iext uri_rdf_rest a S2)) (iext uri_rdf_first S2 C2)) % 6.20/6.46 (iext uri_rdf_rest S2 S3)) % 6.20/6.46 (iext uri_rdf_first S3 C3)) % 6.20/6.46 (iext uri_rdf_rest S3 uri_rdf_nil) → % 6.20/6.46 Iff (iext uri_owl_intersectionOf a_1 a) % 6.20/6.46 (And (And (And (And (ic a_1) (ic C1)) (ic C2)) (ic C3)) % 6.20/6.46 (∀ (X : Iota), Iff (icext a_1 X) (And (And (icext C1 X) (icext C2 X)) (icext C3 X))))) % 6.20/6.46 True % 6.20/6.46 Clause #28 (by clausification #[27]): ∀ (a a_1 a_2 : Iota), % 6.20/6.46 Eq % 6.20/6.46 (∀ (S2 C2 S3 C3 : Iota), % 6.20/6.46 And % 6.20/6.46 (And % 6.20/6.46 (And (And (And (iext uri_rdf_first a a_1) (iext uri_rdf_rest a S2)) (iext uri_rdf_first S2 C2)) % 6.20/6.46 (iext uri_rdf_rest S2 S3)) % 6.20/6.46 (iext uri_rdf_first S3 C3)) % 6.20/6.46 (iext uri_rdf_rest S3 uri_rdf_nil) → % 6.20/6.46 Iff (iext uri_owl_intersectionOf a_2 a) % 6.20/6.46 (And (And (And (And (ic a_2) (ic a_1)) (ic C2)) (ic C3)) % 6.20/6.46 (∀ (X : Iota), Iff (icext a_2 X) (And (And (icext a_1 X) (icext C2 X)) (icext C3 X))))) % 6.20/6.46 True % 6.20/6.46 Clause #29 (by clausification #[28]): ∀ (a a_1 a_2 a_3 : Iota), % 6.20/6.46 Eq % 6.20/6.46 (∀ (C2 S3 C3 : Iota), % 6.20/6.46 And % 6.20/6.46 (And % 6.20/6.46 (And (And (And (iext uri_rdf_first a a_1) (iext uri_rdf_rest a a_2)) (iext uri_rdf_first a_2 C2)) % 6.20/6.46 (iext uri_rdf_rest a_2 S3)) % 6.20/6.46 (iext uri_rdf_first S3 C3)) % 6.20/6.46 (iext uri_rdf_rest S3 uri_rdf_nil) → % 6.20/6.46 Iff (iext uri_owl_intersectionOf a_3 a) % 6.20/6.46 (And (And (And (And (ic a_3) (ic a_1)) (ic C2)) (ic C3)) % 6.20/6.46 (∀ (X : Iota), Iff (icext a_3 X) (And (And (icext a_1 X) (icext C2 X)) (icext C3 X))))) % 6.20/6.46 True % 6.20/6.46 Clause #30 (by clausification #[29]): ∀ (a a_1 a_2 a_3 a_4 : Iota), % 6.30/6.48 Eq % 6.30/6.48 (∀ (S3 C3 : Iota), % 6.30/6.48 And % 6.30/6.48 (And % 6.30/6.48 (And (And (And (iext uri_rdf_first a a_1) (iext uri_rdf_rest a a_2)) (iext uri_rdf_first a_2 a_3)) % 6.30/6.48 (iext uri_rdf_rest a_2 S3)) % 6.30/6.48 (iext uri_rdf_first S3 C3)) % 6.30/6.48 (iext uri_rdf_rest S3 uri_rdf_nil) → % 6.30/6.48 Iff (iext uri_owl_intersectionOf a_4 a) % 6.30/6.48 (And (And (And (And (ic a_4) (ic a_1)) (ic a_3)) (ic C3)) % 6.30/6.48 (∀ (X : Iota), Iff (icext a_4 X) (And (And (icext a_1 X) (icext a_3 X)) (icext C3 X))))) % 6.30/6.48 True % 6.30/6.48 Clause #31 (by clausification #[30]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota), % 6.30/6.48 Eq % 6.30/6.48 (∀ (C3 : Iota), % 6.30/6.48 And % 6.30/6.48 (And % 6.30/6.48 (And (And (And (iext uri_rdf_first a a_1) (iext uri_rdf_rest a a_2)) (iext uri_rdf_first a_2 a_3)) % 6.30/6.48 (iext uri_rdf_rest a_2 a_4)) % 6.30/6.48 (iext uri_rdf_first a_4 C3)) % 6.30/6.48 (iext uri_rdf_rest a_4 uri_rdf_nil) → % 6.30/6.48 Iff (iext uri_owl_intersectionOf a_5 a) % 6.30/6.48 (And (And (And (And (ic a_5) (ic a_1)) (ic a_3)) (ic C3)) % 6.30/6.48 (∀ (X : Iota), Iff (icext a_5 X) (And (And (icext a_1 X) (icext a_3 X)) (icext C3 X))))) % 6.30/6.48 True % 6.30/6.48 Clause #32 (by clausification #[31]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota), % 6.30/6.48 Eq % 6.30/6.48 (And % 6.30/6.48 (And % 6.30/6.48 (And (And (And (iext uri_rdf_first a a_1) (iext uri_rdf_rest a a_2)) (iext uri_rdf_first a_2 a_3)) % 6.30/6.48 (iext uri_rdf_rest a_2 a_4)) % 6.30/6.48 (iext uri_rdf_first a_4 a_5)) % 6.30/6.48 (iext uri_rdf_rest a_4 uri_rdf_nil) → % 6.30/6.48 Iff (iext uri_owl_intersectionOf a_6 a) % 6.30/6.48 (And (And (And (And (ic a_6) (ic a_1)) (ic a_3)) (ic a_5)) % 6.30/6.48 (∀ (X : Iota), Iff (icext a_6 X) (And (And (icext a_1 X) (icext a_3 X)) (icext a_5 X))))) % 6.30/6.48 True % 6.30/6.48 Clause #33 (by clausification #[32]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota), % 6.30/6.48 Or % 6.30/6.48 (Eq % 6.30/6.48 (And % 6.30/6.48 (And % 6.30/6.48 (And (And (And (iext uri_rdf_first a a_1) (iext uri_rdf_rest a a_2)) (iext uri_rdf_first a_2 a_3)) % 6.30/6.48 (iext uri_rdf_rest a_2 a_4)) % 6.30/6.48 (iext uri_rdf_first a_4 a_5)) % 6.30/6.48 (iext uri_rdf_rest a_4 uri_rdf_nil)) % 6.30/6.48 False) % 6.30/6.48 (Eq % 6.30/6.48 (Iff (iext uri_owl_intersectionOf a_6 a) % 6.30/6.48 (And (And (And (And (ic a_6) (ic a_1)) (ic a_3)) (ic a_5)) % 6.30/6.48 (∀ (X : Iota), Iff (icext a_6 X) (And (And (icext a_1 X) (icext a_3 X)) (icext a_5 X))))) % 6.30/6.48 True) % 6.30/6.48 Clause #34 (by clausification #[33]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota), % 6.30/6.48 Or % 6.30/6.48 (Eq % 6.30/6.48 (Iff (iext uri_owl_intersectionOf a a_1) % 6.30/6.48 (And (And (And (And (ic a) (ic a_2)) (ic a_3)) (ic a_4)) % 6.30/6.48 (∀ (X : Iota), Iff (icext a X) (And (And (icext a_2 X) (icext a_3 X)) (icext a_4 X))))) % 6.30/6.48 True) % 6.30/6.48 (Or % 6.30/6.48 (Eq % 6.30/6.48 (And % 6.30/6.48 (And (And (And (iext uri_rdf_first a_1 a_2) (iext uri_rdf_rest a_1 a_5)) (iext uri_rdf_first a_5 a_3)) % 6.30/6.48 (iext uri_rdf_rest a_5 a_6)) % 6.30/6.48 (iext uri_rdf_first a_6 a_4)) % 6.30/6.48 False) % 6.30/6.48 (Eq (iext uri_rdf_rest a_6 uri_rdf_nil) False)) % 6.30/6.48 Clause #36 (by clausification #[34]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota), % 6.30/6.48 Or % 6.30/6.48 (Eq % 6.30/6.48 (And % 6.30/6.48 (And (And (And (iext uri_rdf_first a a_1) (iext uri_rdf_rest a a_2)) (iext uri_rdf_first a_2 a_3)) % 6.30/6.48 (iext uri_rdf_rest a_2 a_4)) % 6.30/6.48 (iext uri_rdf_first a_4 a_5)) % 6.30/6.48 False) % 6.30/6.48 (Or (Eq (iext uri_rdf_rest a_4 uri_rdf_nil) False) % 6.30/6.48 (Or (Eq (iext uri_owl_intersectionOf a_6 a) False) % 6.30/6.48 (Eq % 6.30/6.48 (And (And (And (And (ic a_6) (ic a_1)) (ic a_3)) (ic a_5)) % 6.30/6.48 (∀ (X : Iota), Iff (icext a_6 X) (And (And (icext a_1 X) (icext a_3 X)) (icext a_5 X)))) % 6.30/6.48 True))) % 6.30/6.48 Clause #51 (by clausification #[36]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota), % 6.30/6.48 Or (Eq (iext uri_rdf_rest a uri_rdf_nil) False) % 6.30/6.48 (Or (Eq (iext uri_owl_intersectionOf a_1 a_2) False) % 6.30/6.48 (Or % 6.30/6.48 (Eq % 6.30/6.48 (And (And (And (And (ic a_1) (ic a_3)) (ic a_4)) (ic a_5)) % 6.30/6.48 (∀ (X : Iota), Iff (icext a_1 X) (And (And (icext a_3 X) (icext a_4 X)) (icext a_5 X)))) % 6.30/6.48 True) % 6.30/6.48 (Or % 6.30/6.48 (Eq % 6.30/6.48 (And (And (And (iext uri_rdf_first a_2 a_3) (iext uri_rdf_rest a_2 a_6)) (iext uri_rdf_first a_6 a_4)) % 6.30/6.48 (iext uri_rdf_rest a_6 a)) % 6.30/6.48 False) % 6.33/6.49 (Eq (iext uri_rdf_first a a_5) False)))) % 6.33/6.49 Clause #52 (by clausification #[51]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota), % 6.33/6.49 Or (Eq (iext uri_rdf_rest a uri_rdf_nil) False) % 6.33/6.49 (Or (Eq (iext uri_owl_intersectionOf a_1 a_2) False) % 6.33/6.49 (Or % 6.33/6.49 (Eq % 6.33/6.49 (And (And (And (iext uri_rdf_first a_2 a_3) (iext uri_rdf_rest a_2 a_4)) (iext uri_rdf_first a_4 a_5)) % 6.33/6.49 (iext uri_rdf_rest a_4 a)) % 6.33/6.49 False) % 6.33/6.49 (Or (Eq (iext uri_rdf_first a a_6) False) % 6.33/6.49 (Eq (∀ (X : Iota), Iff (icext a_1 X) (And (And (icext a_3 X) (icext a_5 X)) (icext a_6 X))) True)))) % 6.33/6.49 Clause #54 (by clausification #[52]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota), % 6.33/6.49 Or (Eq (iext uri_rdf_rest a uri_rdf_nil) False) % 6.33/6.49 (Or (Eq (iext uri_owl_intersectionOf a_1 a_2) False) % 6.33/6.49 (Or (Eq (iext uri_rdf_first a a_3) False) % 6.33/6.49 (Or (Eq (∀ (X : Iota), Iff (icext a_1 X) (And (And (icext a_4 X) (icext a_5 X)) (icext a_3 X))) True) % 6.33/6.49 (Or % 6.33/6.49 (Eq (And (And (iext uri_rdf_first a_2 a_4) (iext uri_rdf_rest a_2 a_6)) (iext uri_rdf_first a_6 a_5)) False) % 6.33/6.49 (Eq (iext uri_rdf_rest a_6 a) False))))) % 6.33/6.49 Clause #55 (by clausification #[54]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota), % 6.33/6.49 Or (Eq (iext uri_rdf_rest a uri_rdf_nil) False) % 6.33/6.49 (Or (Eq (iext uri_owl_intersectionOf a_1 a_2) False) % 6.33/6.49 (Or (Eq (iext uri_rdf_first a a_3) False) % 6.33/6.49 (Or (Eq (And (And (iext uri_rdf_first a_2 a_4) (iext uri_rdf_rest a_2 a_5)) (iext uri_rdf_first a_5 a_6)) False) % 6.33/6.49 (Or (Eq (iext uri_rdf_rest a_5 a) False) % 6.33/6.49 (Eq (Iff (icext a_1 a_7) (And (And (icext a_4 a_7) (icext a_6 a_7)) (icext a_3 a_7))) True))))) % 6.33/6.49 Clause #56 (by clausification #[55]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota), % 6.33/6.49 Or (Eq (iext uri_rdf_rest a uri_rdf_nil) False) % 6.33/6.49 (Or (Eq (iext uri_owl_intersectionOf a_1 a_2) False) % 6.33/6.49 (Or (Eq (iext uri_rdf_first a a_3) False) % 6.33/6.49 (Or (Eq (iext uri_rdf_rest a_4 a) False) % 6.33/6.49 (Or (Eq (Iff (icext a_1 a_5) (And (And (icext a_6 a_5) (icext a_7 a_5)) (icext a_3 a_5))) True) % 6.33/6.49 (Or (Eq (And (iext uri_rdf_first a_2 a_6) (iext uri_rdf_rest a_2 a_4)) False) % 6.33/6.49 (Eq (iext uri_rdf_first a_4 a_7) False)))))) % 6.33/6.49 Clause #58 (by clausification #[56]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota), % 6.33/6.49 Or (Eq (iext uri_rdf_rest a uri_rdf_nil) False) % 6.33/6.49 (Or (Eq (iext uri_owl_intersectionOf a_1 a_2) False) % 6.33/6.49 (Or (Eq (iext uri_rdf_first a a_3) False) % 6.33/6.49 (Or (Eq (iext uri_rdf_rest a_4 a) False) % 6.33/6.49 (Or (Eq (And (iext uri_rdf_first a_2 a_5) (iext uri_rdf_rest a_2 a_4)) False) % 6.33/6.49 (Or (Eq (iext uri_rdf_first a_4 a_6) False) % 6.33/6.49 (Or (Eq (icext a_1 a_7) False) (Eq (And (And (icext a_5 a_7) (icext a_6 a_7)) (icext a_3 a_7)) True))))))) % 6.33/6.49 Clause #74 (by clausification #[5]): ∀ (a : Iota), % 6.33/6.49 Eq % 6.33/6.49 (Exists fun BNODE_l2 => % 6.33/6.49 Exists fun BNODE_l3 => % 6.33/6.49 Exists fun BNODE_r => % 6.33/6.49 And % 6.33/6.49 (And % 6.33/6.49 (And % 6.33/6.49 (And % 6.33/6.49 (And % 6.33/6.49 (And % 6.33/6.49 (And % 6.33/6.49 (And % 6.33/6.49 (And % 6.33/6.49 (And % 6.33/6.49 (And % 6.33/6.49 (And (iext uri_rdf_type uri_foaf_Person uri_owl_Class) % 6.33/6.49 (iext uri_owl_intersectionOf uri_ex_PersonAttribute (skS.0 1 a))) % 6.33/6.49 (iext uri_rdf_first (skS.0 1 a) uri_owl_DatatypeProperty)) % 6.33/6.49 (iext uri_rdf_rest (skS.0 1 a) BNODE_l2)) % 6.33/6.49 (iext uri_rdf_first BNODE_l2 uri_owl_FunctionalProperty)) % 6.33/6.49 (iext uri_rdf_rest BNODE_l2 BNODE_l3)) % 6.33/6.49 (iext uri_rdf_first BNODE_l3 BNODE_r)) % 6.33/6.49 (iext uri_rdf_rest BNODE_l3 uri_rdf_nil)) % 6.33/6.49 (iext uri_rdf_type BNODE_r uri_owl_Restriction)) % 6.33/6.49 (iext uri_owl_onProperty BNODE_r uri_rdfs_domain)) % 6.33/6.49 (iext uri_owl_hasValue BNODE_r uri_foaf_Person)) % 6.33/6.49 (iext uri_rdf_type uri_ex_name uri_ex_PersonAttribute)) % 6.33/6.49 (iext uri_ex_name uri_ex_alice (literal_plain dat_str_alice))) % 6.33/6.50 True % 6.33/6.50 Clause #75 (by clausification #[74]): ∀ (a a_1 : Iota), % 6.33/6.50 Eq % 6.33/6.50 (Exists fun BNODE_l3 => % 6.33/6.50 Exists fun BNODE_r => % 6.33/6.50 And % 6.33/6.50 (And % 6.33/6.50 (And % 6.33/6.50 (And % 6.33/6.50 (And % 6.33/6.50 (And % 6.33/6.50 (And % 6.33/6.50 (And % 6.33/6.50 (And % 6.33/6.50 (And % 6.33/6.50 (And % 6.33/6.50 (And (iext uri_rdf_type uri_foaf_Person uri_owl_Class) % 6.33/6.50 (iext uri_owl_intersectionOf uri_ex_PersonAttribute (skS.0 1 a))) % 6.33/6.50 (iext uri_rdf_first (skS.0 1 a) uri_owl_DatatypeProperty)) % 6.33/6.50 (iext uri_rdf_rest (skS.0 1 a) (skS.0 2 a a_1))) % 6.33/6.50 (iext uri_rdf_first (skS.0 2 a a_1) uri_owl_FunctionalProperty)) % 6.33/6.50 (iext uri_rdf_rest (skS.0 2 a a_1) BNODE_l3)) % 6.33/6.50 (iext uri_rdf_first BNODE_l3 BNODE_r)) % 6.33/6.50 (iext uri_rdf_rest BNODE_l3 uri_rdf_nil)) % 6.33/6.50 (iext uri_rdf_type BNODE_r uri_owl_Restriction)) % 6.33/6.50 (iext uri_owl_onProperty BNODE_r uri_rdfs_domain)) % 6.33/6.50 (iext uri_owl_hasValue BNODE_r uri_foaf_Person)) % 6.33/6.50 (iext uri_rdf_type uri_ex_name uri_ex_PersonAttribute)) % 6.33/6.50 (iext uri_ex_name uri_ex_alice (literal_plain dat_str_alice))) % 6.33/6.50 True % 6.33/6.50 Clause #76 (by clausification #[75]): ∀ (a a_1 a_2 : Iota), % 6.33/6.50 Eq % 6.33/6.50 (Exists fun BNODE_r => % 6.33/6.50 And % 6.33/6.50 (And % 6.33/6.50 (And % 6.33/6.50 (And % 6.33/6.50 (And % 6.33/6.50 (And % 6.33/6.50 (And % 6.33/6.50 (And % 6.33/6.50 (And % 6.33/6.50 (And % 6.33/6.50 (And % 6.33/6.50 (And (iext uri_rdf_type uri_foaf_Person uri_owl_Class) % 6.33/6.50 (iext uri_owl_intersectionOf uri_ex_PersonAttribute (skS.0 1 a))) % 6.33/6.50 (iext uri_rdf_first (skS.0 1 a) uri_owl_DatatypeProperty)) % 6.33/6.50 (iext uri_rdf_rest (skS.0 1 a) (skS.0 2 a a_1))) % 6.33/6.50 (iext uri_rdf_first (skS.0 2 a a_1) uri_owl_FunctionalProperty)) % 6.33/6.50 (iext uri_rdf_rest (skS.0 2 a a_1) (skS.0 3 a a_1 a_2))) % 6.33/6.50 (iext uri_rdf_first (skS.0 3 a a_1 a_2) BNODE_r)) % 6.33/6.50 (iext uri_rdf_rest (skS.0 3 a a_1 a_2) uri_rdf_nil)) % 6.33/6.50 (iext uri_rdf_type BNODE_r uri_owl_Restriction)) % 6.33/6.50 (iext uri_owl_onProperty BNODE_r uri_rdfs_domain)) % 6.33/6.50 (iext uri_owl_hasValue BNODE_r uri_foaf_Person)) % 6.33/6.50 (iext uri_rdf_type uri_ex_name uri_ex_PersonAttribute)) % 6.33/6.50 (iext uri_ex_name uri_ex_alice (literal_plain dat_str_alice))) % 6.33/6.50 True % 6.33/6.50 Clause #77 (by clausification #[76]): ∀ (a a_1 a_2 a_3 : Iota), % 6.33/6.50 Eq % 6.33/6.50 (And % 6.33/6.50 (And % 6.33/6.50 (And % 6.33/6.50 (And % 6.33/6.50 (And % 6.33/6.50 (And % 6.33/6.50 (And % 6.33/6.50 (And % 6.33/6.50 (And % 6.33/6.50 (And % 6.33/6.50 (And % 6.33/6.50 (And (iext uri_rdf_type uri_foaf_Person uri_owl_Class) % 6.33/6.50 (iext uri_owl_intersectionOf uri_ex_PersonAttribute (skS.0 1 a))) % 6.33/6.50 (iext uri_rdf_first (skS.0 1 a) uri_owl_DatatypeProperty)) % 6.33/6.50 (iext uri_rdf_rest (skS.0 1 a) (skS.0 2 a a_1))) % 6.33/6.50 (iext uri_rdf_first (skS.0 2 a a_1) uri_owl_FunctionalProperty)) % 6.33/6.50 (iext uri_rdf_rest (skS.0 2 a a_1) (skS.0 3 a a_1 a_2))) % 6.33/6.50 (iext uri_rdf_first (skS.0 3 a a_1 a_2) (skS.0 4 a a_1 a_2 a_3))) % 6.33/6.50 (iext uri_rdf_rest (skS.0 3 a a_1 a_2) uri_rdf_nil)) % 6.33/6.50 (iext uri_rdf_type (skS.0 4 a a_1 a_2 a_3) uri_owl_Restriction)) % 6.33/6.50 (iext uri_owl_onProperty (skS.0 4 a a_1 a_2 a_3) uri_rdfs_domain)) % 6.33/6.50 (iext uri_owl_hasValue (skS.0 4 a a_1 a_2 a_3) uri_foaf_Person)) % 6.33/6.50 (iext uri_rdf_type uri_ex_name uri_ex_PersonAttribute)) % 6.33/6.50 (iext uri_ex_name uri_ex_alice (literal_plain dat_str_alice))) % 6.33/6.50 True % 6.33/6.50 Clause #78 (by clausification #[77]): Eq (iext uri_ex_name uri_ex_alice (literal_plain dat_str_alice)) True % 6.33/6.52 Clause #79 (by clausification #[77]): ∀ (a a_1 a_2 a_3 : Iota), % 6.33/6.52 Eq % 6.33/6.52 (And % 6.33/6.52 (And % 6.33/6.52 (And % 6.33/6.52 (And % 6.33/6.52 (And % 6.33/6.52 (And % 6.33/6.52 (And % 6.33/6.52 (And % 6.33/6.52 (And % 6.33/6.52 (And % 6.33/6.52 (And (iext uri_rdf_type uri_foaf_Person uri_owl_Class) % 6.33/6.52 (iext uri_owl_intersectionOf uri_ex_PersonAttribute (skS.0 1 a))) % 6.33/6.52 (iext uri_rdf_first (skS.0 1 a) uri_owl_DatatypeProperty)) % 6.33/6.52 (iext uri_rdf_rest (skS.0 1 a) (skS.0 2 a a_1))) % 6.33/6.52 (iext uri_rdf_first (skS.0 2 a a_1) uri_owl_FunctionalProperty)) % 6.33/6.52 (iext uri_rdf_rest (skS.0 2 a a_1) (skS.0 3 a a_1 a_2))) % 6.33/6.52 (iext uri_rdf_first (skS.0 3 a a_1 a_2) (skS.0 4 a a_1 a_2 a_3))) % 6.33/6.52 (iext uri_rdf_rest (skS.0 3 a a_1 a_2) uri_rdf_nil)) % 6.33/6.52 (iext uri_rdf_type (skS.0 4 a a_1 a_2 a_3) uri_owl_Restriction)) % 6.33/6.52 (iext uri_owl_onProperty (skS.0 4 a a_1 a_2 a_3) uri_rdfs_domain)) % 6.33/6.52 (iext uri_owl_hasValue (skS.0 4 a a_1 a_2 a_3) uri_foaf_Person)) % 6.33/6.52 (iext uri_rdf_type uri_ex_name uri_ex_PersonAttribute)) % 6.33/6.52 True % 6.33/6.52 Clause #80 (by clausification #[58]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota), % 6.33/6.52 Or (Eq (iext uri_rdf_rest a uri_rdf_nil) False) % 6.33/6.52 (Or (Eq (iext uri_owl_intersectionOf a_1 a_2) False) % 6.33/6.52 (Or (Eq (iext uri_rdf_first a a_3) False) % 6.33/6.52 (Or (Eq (iext uri_rdf_rest a_4 a) False) % 6.33/6.52 (Or (Eq (iext uri_rdf_first a_4 a_5) False) % 6.33/6.52 (Or (Eq (icext a_1 a_6) False) % 6.33/6.52 (Or (Eq (And (And (icext a_7 a_6) (icext a_5 a_6)) (icext a_3 a_6)) True) % 6.33/6.52 (Or (Eq (iext uri_rdf_first a_2 a_7) False) (Eq (iext uri_rdf_rest a_2 a_4) False)))))))) % 6.33/6.52 Clause #81 (by clausification #[80]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota), % 6.33/6.52 Or (Eq (iext uri_rdf_rest a uri_rdf_nil) False) % 6.33/6.52 (Or (Eq (iext uri_owl_intersectionOf a_1 a_2) False) % 6.33/6.52 (Or (Eq (iext uri_rdf_first a a_3) False) % 6.33/6.52 (Or (Eq (iext uri_rdf_rest a_4 a) False) % 6.33/6.52 (Or (Eq (iext uri_rdf_first a_4 a_5) False) % 6.33/6.52 (Or (Eq (icext a_1 a_6) False) % 6.33/6.52 (Or (Eq (iext uri_rdf_first a_2 a_7) False) % 6.33/6.52 (Or (Eq (iext uri_rdf_rest a_2 a_4) False) (Eq (icext a_3 a_6) True)))))))) % 6.33/6.52 Clause #82 (by clausification #[80]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota), % 6.33/6.52 Or (Eq (iext uri_rdf_rest a uri_rdf_nil) False) % 6.33/6.52 (Or (Eq (iext uri_owl_intersectionOf a_1 a_2) False) % 6.33/6.52 (Or (Eq (iext uri_rdf_first a a_3) False) % 6.33/6.52 (Or (Eq (iext uri_rdf_rest a_4 a) False) % 6.33/6.52 (Or (Eq (iext uri_rdf_first a_4 a_5) False) % 6.33/6.52 (Or (Eq (icext a_1 a_6) False) % 6.33/6.52 (Or (Eq (iext uri_rdf_first a_2 a_7) False) % 6.33/6.52 (Or (Eq (iext uri_rdf_rest a_2 a_4) False) (Eq (And (icext a_7 a_6) (icext a_5 a_6)) True)))))))) % 6.33/6.52 Clause #83 (by clausification #[82]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota), % 6.33/6.52 Or (Eq (iext uri_rdf_rest a uri_rdf_nil) False) % 6.33/6.52 (Or (Eq (iext uri_owl_intersectionOf a_1 a_2) False) % 6.33/6.52 (Or (Eq (iext uri_rdf_first a a_3) False) % 6.33/6.52 (Or (Eq (iext uri_rdf_rest a_4 a) False) % 6.33/6.52 (Or (Eq (iext uri_rdf_first a_4 a_5) False) % 6.33/6.52 (Or (Eq (icext a_1 a_6) False) % 6.33/6.52 (Or (Eq (iext uri_rdf_first a_2 a_7) False) % 6.33/6.52 (Or (Eq (iext uri_rdf_rest a_2 a_4) False) (Eq (icext a_5 a_6) True)))))))) % 6.33/6.52 Clause #87 (by clausification #[79]): Eq (iext uri_rdf_type uri_ex_name uri_ex_PersonAttribute) True % 6.33/6.52 Clause #88 (by clausification #[79]): ∀ (a a_1 a_2 a_3 : Iota), % 6.33/6.52 Eq % 6.33/6.52 (And % 6.33/6.52 (And % 6.33/6.52 (And % 6.33/6.52 (And % 6.33/6.52 (And % 6.33/6.52 (And % 6.33/6.52 (And % 6.33/6.52 (And % 6.33/6.52 (And % 6.33/6.52 (And (iext uri_rdf_type uri_foaf_Person uri_owl_Class) % 6.33/6.52 (iext uri_owl_intersectionOf uri_ex_PersonAttribute (skS.0 1 a))) % 6.33/6.52 (iext uri_rdf_first (skS.0 1 a) uri_owl_DatatypeProperty)) % 6.33/6.52 (iext uri_rdf_rest (skS.0 1 a) (skS.0 2 a a_1))) % 6.33/6.52 (iext uri_rdf_first (skS.0 2 a a_1) uri_owl_FunctionalProperty)) % 6.36/6.54 (iext uri_rdf_rest (skS.0 2 a a_1) (skS.0 3 a a_1 a_2))) % 6.36/6.54 (iext uri_rdf_first (skS.0 3 a a_1 a_2) (skS.0 4 a a_1 a_2 a_3))) % 6.36/6.54 (iext uri_rdf_rest (skS.0 3 a a_1 a_2) uri_rdf_nil)) % 6.36/6.54 (iext uri_rdf_type (skS.0 4 a a_1 a_2 a_3) uri_owl_Restriction)) % 6.36/6.54 (iext uri_owl_onProperty (skS.0 4 a a_1 a_2 a_3) uri_rdfs_domain)) % 6.36/6.54 (iext uri_owl_hasValue (skS.0 4 a a_1 a_2 a_3) uri_foaf_Person)) % 6.36/6.54 True % 6.36/6.54 Clause #89 (by superposition #[87, 15]): Or (Eq True False) (Eq (icext uri_ex_PersonAttribute uri_ex_name) True) % 6.36/6.54 Clause #90 (by clausification #[89]): Eq (icext uri_ex_PersonAttribute uri_ex_name) True % 6.36/6.54 Clause #94 (by clausification #[88]): ∀ (a a_1 a_2 a_3 : Iota), Eq (iext uri_owl_hasValue (skS.0 4 a a_1 a_2 a_3) uri_foaf_Person) True % 6.36/6.54 Clause #95 (by clausification #[88]): ∀ (a a_1 a_2 a_3 : Iota), % 6.36/6.54 Eq % 6.36/6.54 (And % 6.36/6.54 (And % 6.36/6.54 (And % 6.36/6.54 (And % 6.36/6.54 (And % 6.36/6.54 (And % 6.36/6.54 (And % 6.36/6.54 (And % 6.36/6.54 (And (iext uri_rdf_type uri_foaf_Person uri_owl_Class) % 6.36/6.54 (iext uri_owl_intersectionOf uri_ex_PersonAttribute (skS.0 1 a))) % 6.36/6.54 (iext uri_rdf_first (skS.0 1 a) uri_owl_DatatypeProperty)) % 6.36/6.54 (iext uri_rdf_rest (skS.0 1 a) (skS.0 2 a a_1))) % 6.36/6.54 (iext uri_rdf_first (skS.0 2 a a_1) uri_owl_FunctionalProperty)) % 6.36/6.54 (iext uri_rdf_rest (skS.0 2 a a_1) (skS.0 3 a a_1 a_2))) % 6.36/6.54 (iext uri_rdf_first (skS.0 3 a a_1 a_2) (skS.0 4 a a_1 a_2 a_3))) % 6.36/6.54 (iext uri_rdf_rest (skS.0 3 a a_1 a_2) uri_rdf_nil)) % 6.36/6.54 (iext uri_rdf_type (skS.0 4 a a_1 a_2 a_3) uri_owl_Restriction)) % 6.36/6.54 (iext uri_owl_onProperty (skS.0 4 a a_1 a_2 a_3) uri_rdfs_domain)) % 6.36/6.54 True % 6.36/6.54 Clause #97 (by superposition #[94, 25]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota), % 6.36/6.54 Or (Eq True False) % 6.36/6.54 (Or (Eq (iext uri_owl_onProperty (skS.0 4 a a_1 a_2 a_3) a_4) False) % 6.36/6.54 (Or (Eq (icext (skS.0 4 a a_1 a_2 a_3) a_5) False) (Eq (iext a_4 a_5 uri_foaf_Person) True))) % 6.36/6.54 Clause #98 (by clausification #[95]): ∀ (a a_1 a_2 a_3 : Iota), Eq (iext uri_owl_onProperty (skS.0 4 a a_1 a_2 a_3) uri_rdfs_domain) True % 6.36/6.54 Clause #99 (by clausification #[95]): ∀ (a a_1 a_2 a_3 : Iota), % 6.36/6.54 Eq % 6.36/6.54 (And % 6.36/6.54 (And % 6.36/6.54 (And % 6.36/6.54 (And % 6.36/6.54 (And % 6.36/6.54 (And % 6.36/6.54 (And % 6.36/6.54 (And (iext uri_rdf_type uri_foaf_Person uri_owl_Class) % 6.36/6.54 (iext uri_owl_intersectionOf uri_ex_PersonAttribute (skS.0 1 a))) % 6.36/6.54 (iext uri_rdf_first (skS.0 1 a) uri_owl_DatatypeProperty)) % 6.36/6.54 (iext uri_rdf_rest (skS.0 1 a) (skS.0 2 a a_1))) % 6.36/6.54 (iext uri_rdf_first (skS.0 2 a a_1) uri_owl_FunctionalProperty)) % 6.36/6.54 (iext uri_rdf_rest (skS.0 2 a a_1) (skS.0 3 a a_1 a_2))) % 6.36/6.54 (iext uri_rdf_first (skS.0 3 a a_1 a_2) (skS.0 4 a a_1 a_2 a_3))) % 6.36/6.54 (iext uri_rdf_rest (skS.0 3 a a_1 a_2) uri_rdf_nil)) % 6.36/6.54 (iext uri_rdf_type (skS.0 4 a a_1 a_2 a_3) uri_owl_Restriction)) % 6.36/6.54 True % 6.36/6.54 Clause #100 (by clausification #[97]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota), % 6.36/6.54 Or (Eq (iext uri_owl_onProperty (skS.0 4 a a_1 a_2 a_3) a_4) False) % 6.36/6.54 (Or (Eq (icext (skS.0 4 a a_1 a_2 a_3) a_5) False) (Eq (iext a_4 a_5 uri_foaf_Person) True)) % 6.36/6.54 Clause #101 (by superposition #[100, 98]): ∀ (a a_1 a_2 a_3 a_4 : Iota), % 6.36/6.54 Or (Eq (icext (skS.0 4 a a_1 a_2 a_3) a_4) False) % 6.36/6.54 (Or (Eq (iext uri_rdfs_domain a_4 uri_foaf_Person) True) (Eq False True)) % 6.36/6.54 Clause #102 (by clausification #[101]): ∀ (a a_1 a_2 a_3 a_4 : Iota), % 6.36/6.54 Or (Eq (icext (skS.0 4 a a_1 a_2 a_3) a_4) False) (Eq (iext uri_rdfs_domain a_4 uri_foaf_Person) True) % 6.36/6.54 Clause #107 (by clausification #[99]): ∀ (a a_1 a_2 a_3 : Iota), % 6.36/6.54 Eq % 6.36/6.54 (And % 6.36/6.54 (And % 6.36/6.54 (And % 6.36/6.54 (And % 6.36/6.54 (And % 6.36/6.54 (And % 6.36/6.54 (And (iext uri_rdf_type uri_foaf_Person uri_owl_Class) % 6.36/6.54 (iext uri_owl_intersectionOf uri_ex_PersonAttribute (skS.0 1 a))) % 6.36/6.54 (iext uri_rdf_first (skS.0 1 a) uri_owl_DatatypeProperty)) % 6.36/6.54 (iext uri_rdf_rest (skS.0 1 a) (skS.0 2 a a_1))) % 6.38/6.56 (iext uri_rdf_first (skS.0 2 a a_1) uri_owl_FunctionalProperty)) % 6.38/6.56 (iext uri_rdf_rest (skS.0 2 a a_1) (skS.0 3 a a_1 a_2))) % 6.38/6.56 (iext uri_rdf_first (skS.0 3 a a_1 a_2) (skS.0 4 a a_1 a_2 a_3))) % 6.38/6.56 (iext uri_rdf_rest (skS.0 3 a a_1 a_2) uri_rdf_nil)) % 6.38/6.56 True % 6.38/6.56 Clause #109 (by clausification #[107]): ∀ (a a_1 a_2 : Iota), Eq (iext uri_rdf_rest (skS.0 3 a a_1 a_2) uri_rdf_nil) True % 6.38/6.56 Clause #110 (by clausification #[107]): ∀ (a a_1 a_2 a_3 : Iota), % 6.38/6.56 Eq % 6.38/6.56 (And % 6.38/6.56 (And % 6.38/6.56 (And % 6.38/6.56 (And % 6.38/6.56 (And % 6.38/6.56 (And (iext uri_rdf_type uri_foaf_Person uri_owl_Class) % 6.38/6.56 (iext uri_owl_intersectionOf uri_ex_PersonAttribute (skS.0 1 a))) % 6.38/6.56 (iext uri_rdf_first (skS.0 1 a) uri_owl_DatatypeProperty)) % 6.38/6.56 (iext uri_rdf_rest (skS.0 1 a) (skS.0 2 a a_1))) % 6.38/6.56 (iext uri_rdf_first (skS.0 2 a a_1) uri_owl_FunctionalProperty)) % 6.38/6.56 (iext uri_rdf_rest (skS.0 2 a a_1) (skS.0 3 a a_1 a_2))) % 6.38/6.56 (iext uri_rdf_first (skS.0 3 a a_1 a_2) (skS.0 4 a a_1 a_2 a_3))) % 6.38/6.56 True % 6.38/6.56 Clause #117 (by superposition #[109, 81]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 : Iota), % 6.38/6.56 Or (Eq True False) % 6.38/6.56 (Or (Eq (iext uri_owl_intersectionOf a a_1) False) % 6.38/6.56 (Or (Eq (iext uri_rdf_first (skS.0 3 a_2 a_3 a_4) a_5) False) % 6.38/6.56 (Or (Eq (iext uri_rdf_rest a_6 (skS.0 3 a_2 a_3 a_4)) False) % 6.38/6.56 (Or (Eq (iext uri_rdf_first a_6 a_7) False) % 6.38/6.56 (Or (Eq (icext a a_8) False) % 6.38/6.56 (Or (Eq (iext uri_rdf_first a_1 a_9) False) % 6.38/6.56 (Or (Eq (iext uri_rdf_rest a_1 a_6) False) (Eq (icext a_5 a_8) True)))))))) % 6.38/6.56 Clause #118 (by superposition #[109, 83]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 : Iota), % 6.38/6.56 Or (Eq True False) % 6.38/6.56 (Or (Eq (iext uri_owl_intersectionOf a a_1) False) % 6.38/6.56 (Or (Eq (iext uri_rdf_first (skS.0 3 a_2 a_3 a_4) a_5) False) % 6.38/6.56 (Or (Eq (iext uri_rdf_rest a_6 (skS.0 3 a_2 a_3 a_4)) False) % 6.38/6.56 (Or (Eq (iext uri_rdf_first a_6 a_7) False) % 6.38/6.56 (Or (Eq (icext a a_8) False) % 6.38/6.56 (Or (Eq (iext uri_rdf_first a_1 a_9) False) % 6.38/6.56 (Or (Eq (iext uri_rdf_rest a_1 a_6) False) (Eq (icext a_7 a_8) True)))))))) % 6.38/6.56 Clause #128 (by clausification #[110]): ∀ (a a_1 a_2 a_3 : Iota), Eq (iext uri_rdf_first (skS.0 3 a a_1 a_2) (skS.0 4 a a_1 a_2 a_3)) True % 6.38/6.56 Clause #129 (by clausification #[110]): ∀ (a a_1 a_2 : Iota), % 6.38/6.56 Eq % 6.38/6.56 (And % 6.38/6.56 (And % 6.38/6.56 (And % 6.38/6.56 (And % 6.38/6.56 (And (iext uri_rdf_type uri_foaf_Person uri_owl_Class) % 6.38/6.56 (iext uri_owl_intersectionOf uri_ex_PersonAttribute (skS.0 1 a))) % 6.38/6.56 (iext uri_rdf_first (skS.0 1 a) uri_owl_DatatypeProperty)) % 6.38/6.56 (iext uri_rdf_rest (skS.0 1 a) (skS.0 2 a a_1))) % 6.38/6.56 (iext uri_rdf_first (skS.0 2 a a_1) uri_owl_FunctionalProperty)) % 6.38/6.56 (iext uri_rdf_rest (skS.0 2 a a_1) (skS.0 3 a a_1 a_2))) % 6.38/6.56 True % 6.38/6.56 Clause #131 (by clausification #[117]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 : Iota), % 6.38/6.56 Or (Eq (iext uri_owl_intersectionOf a a_1) False) % 6.38/6.56 (Or (Eq (iext uri_rdf_first (skS.0 3 a_2 a_3 a_4) a_5) False) % 6.38/6.56 (Or (Eq (iext uri_rdf_rest a_6 (skS.0 3 a_2 a_3 a_4)) False) % 6.38/6.56 (Or (Eq (iext uri_rdf_first a_6 a_7) False) % 6.38/6.56 (Or (Eq (icext a a_8) False) % 6.38/6.56 (Or (Eq (iext uri_rdf_first a_1 a_9) False) % 6.38/6.56 (Or (Eq (iext uri_rdf_rest a_1 a_6) False) (Eq (icext a_5 a_8) True))))))) % 6.38/6.56 Clause #133 (by clausification #[118]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 : Iota), % 6.38/6.56 Or (Eq (iext uri_owl_intersectionOf a a_1) False) % 6.38/6.56 (Or (Eq (iext uri_rdf_first (skS.0 3 a_2 a_3 a_4) a_5) False) % 6.38/6.56 (Or (Eq (iext uri_rdf_rest a_6 (skS.0 3 a_2 a_3 a_4)) False) % 6.38/6.56 (Or (Eq (iext uri_rdf_first a_6 a_7) False) % 6.38/6.56 (Or (Eq (icext a a_8) False) % 6.38/6.56 (Or (Eq (iext uri_rdf_first a_1 a_9) False) % 6.38/6.56 (Or (Eq (iext uri_rdf_rest a_1 a_6) False) (Eq (icext a_7 a_8) True))))))) % 6.38/6.56 Clause #137 (by clausification #[129]): ∀ (a a_1 a_2 : Iota), Eq (iext uri_rdf_rest (skS.0 2 a a_1) (skS.0 3 a a_1 a_2)) True % 6.38/6.56 Clause #138 (by clausification #[129]): ∀ (a a_1 : Iota), % 6.38/6.56 Eq % 6.38/6.56 (And % 6.38/6.56 (And % 6.38/6.56 (And % 6.38/6.58 (And (iext uri_rdf_type uri_foaf_Person uri_owl_Class) % 6.38/6.58 (iext uri_owl_intersectionOf uri_ex_PersonAttribute (skS.0 1 a))) % 6.38/6.58 (iext uri_rdf_first (skS.0 1 a) uri_owl_DatatypeProperty)) % 6.38/6.58 (iext uri_rdf_rest (skS.0 1 a) (skS.0 2 a a_1))) % 6.38/6.58 (iext uri_rdf_first (skS.0 2 a a_1) uri_owl_FunctionalProperty)) % 6.38/6.58 True % 6.38/6.58 Clause #139 (by clausification #[138]): ∀ (a a_1 : Iota), Eq (iext uri_rdf_first (skS.0 2 a a_1) uri_owl_FunctionalProperty) True % 6.38/6.58 Clause #140 (by clausification #[138]): ∀ (a a_1 : Iota), % 6.38/6.58 Eq % 6.38/6.58 (And % 6.38/6.58 (And % 6.38/6.58 (And (iext uri_rdf_type uri_foaf_Person uri_owl_Class) % 6.38/6.58 (iext uri_owl_intersectionOf uri_ex_PersonAttribute (skS.0 1 a))) % 6.38/6.58 (iext uri_rdf_first (skS.0 1 a) uri_owl_DatatypeProperty)) % 6.38/6.58 (iext uri_rdf_rest (skS.0 1 a) (skS.0 2 a a_1))) % 6.38/6.58 True % 6.38/6.58 Clause #141 (by clausification #[140]): ∀ (a a_1 : Iota), Eq (iext uri_rdf_rest (skS.0 1 a) (skS.0 2 a a_1)) True % 6.38/6.58 Clause #142 (by clausification #[140]): ∀ (a : Iota), % 6.38/6.58 Eq % 6.38/6.58 (And % 6.38/6.58 (And (iext uri_rdf_type uri_foaf_Person uri_owl_Class) % 6.38/6.58 (iext uri_owl_intersectionOf uri_ex_PersonAttribute (skS.0 1 a))) % 6.38/6.58 (iext uri_rdf_first (skS.0 1 a) uri_owl_DatatypeProperty)) % 6.38/6.58 True % 6.38/6.58 Clause #143 (by clausification #[142]): ∀ (a : Iota), Eq (iext uri_rdf_first (skS.0 1 a) uri_owl_DatatypeProperty) True % 6.38/6.58 Clause #144 (by clausification #[142]): ∀ (a : Iota), % 6.38/6.58 Eq % 6.38/6.58 (And (iext uri_rdf_type uri_foaf_Person uri_owl_Class) % 6.38/6.58 (iext uri_owl_intersectionOf uri_ex_PersonAttribute (skS.0 1 a))) % 6.38/6.58 True % 6.38/6.58 Clause #145 (by clausification #[144]): ∀ (a : Iota), Eq (iext uri_owl_intersectionOf uri_ex_PersonAttribute (skS.0 1 a)) True % 6.38/6.58 Clause #151 (by superposition #[145, 131]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 : Iota), % 6.38/6.58 Or (Eq True False) % 6.38/6.58 (Or (Eq (iext uri_rdf_first (skS.0 3 a a_1 a_2) a_3) False) % 6.38/6.58 (Or (Eq (iext uri_rdf_rest a_4 (skS.0 3 a a_1 a_2)) False) % 6.38/6.58 (Or (Eq (iext uri_rdf_first a_4 a_5) False) % 6.38/6.58 (Or (Eq (icext uri_ex_PersonAttribute a_6) False) % 6.38/6.58 (Or (Eq (iext uri_rdf_first (skS.0 1 a_7) a_8) False) % 6.38/6.58 (Or (Eq (iext uri_rdf_rest (skS.0 1 a_7) a_4) False) (Eq (icext a_3 a_6) True))))))) % 6.38/6.58 Clause #153 (by superposition #[145, 133]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 : Iota), % 6.38/6.58 Or (Eq True False) % 6.38/6.58 (Or (Eq (iext uri_rdf_first (skS.0 3 a a_1 a_2) a_3) False) % 6.38/6.58 (Or (Eq (iext uri_rdf_rest a_4 (skS.0 3 a a_1 a_2)) False) % 6.38/6.58 (Or (Eq (iext uri_rdf_first a_4 a_5) False) % 6.38/6.58 (Or (Eq (icext uri_ex_PersonAttribute a_6) False) % 6.38/6.58 (Or (Eq (iext uri_rdf_first (skS.0 1 a_7) a_8) False) % 6.38/6.58 (Or (Eq (iext uri_rdf_rest (skS.0 1 a_7) a_4) False) (Eq (icext a_5 a_6) True))))))) % 6.38/6.58 Clause #206 (by clausification #[151]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 : Iota), % 6.38/6.58 Or (Eq (iext uri_rdf_first (skS.0 3 a a_1 a_2) a_3) False) % 6.38/6.58 (Or (Eq (iext uri_rdf_rest a_4 (skS.0 3 a a_1 a_2)) False) % 6.38/6.58 (Or (Eq (iext uri_rdf_first a_4 a_5) False) % 6.38/6.58 (Or (Eq (icext uri_ex_PersonAttribute a_6) False) % 6.38/6.58 (Or (Eq (iext uri_rdf_first (skS.0 1 a_7) a_8) False) % 6.38/6.58 (Or (Eq (iext uri_rdf_rest (skS.0 1 a_7) a_4) False) (Eq (icext a_3 a_6) True)))))) % 6.38/6.58 Clause #207 (by superposition #[206, 128]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 : Iota), % 6.38/6.58 Or (Eq (iext uri_rdf_rest a (skS.0 3 a_1 a_2 a_3)) False) % 6.38/6.58 (Or (Eq (iext uri_rdf_first a a_4) False) % 6.38/6.58 (Or (Eq (icext uri_ex_PersonAttribute a_5) False) % 6.38/6.58 (Or (Eq (iext uri_rdf_first (skS.0 1 a_6) a_7) False) % 6.38/6.58 (Or (Eq (iext uri_rdf_rest (skS.0 1 a_6) a) False) % 6.38/6.58 (Or (Eq (icext (skS.0 4 a_1 a_2 a_3 a_8) a_5) True) (Eq False True)))))) % 6.38/6.58 Clause #216 (by clausification #[207]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 : Iota), % 6.38/6.58 Or (Eq (iext uri_rdf_rest a (skS.0 3 a_1 a_2 a_3)) False) % 6.38/6.58 (Or (Eq (iext uri_rdf_first a a_4) False) % 6.38/6.58 (Or (Eq (icext uri_ex_PersonAttribute a_5) False) % 6.38/6.58 (Or (Eq (iext uri_rdf_first (skS.0 1 a_6) a_7) False) % 6.38/6.58 (Or (Eq (iext uri_rdf_rest (skS.0 1 a_6) a) False) (Eq (icext (skS.0 4 a_1 a_2 a_3 a_8) a_5) True))))) % 6.38/6.60 Clause #217 (by superposition #[216, 137]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota), % 6.38/6.60 Or (Eq (iext uri_rdf_first (skS.0 2 a a_1) a_2) False) % 6.38/6.60 (Or (Eq (icext uri_ex_PersonAttribute a_3) False) % 6.38/6.60 (Or (Eq (iext uri_rdf_first (skS.0 1 a_4) a_5) False) % 6.38/6.60 (Or (Eq (iext uri_rdf_rest (skS.0 1 a_4) (skS.0 2 a a_1)) False) % 6.38/6.60 (Or (Eq (icext (skS.0 4 a a_1 a_6 a_7) a_3) True) (Eq False True))))) % 6.38/6.60 Clause #230 (by clausification #[153]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 : Iota), % 6.38/6.60 Or (Eq (iext uri_rdf_first (skS.0 3 a a_1 a_2) a_3) False) % 6.38/6.60 (Or (Eq (iext uri_rdf_rest a_4 (skS.0 3 a a_1 a_2)) False) % 6.38/6.60 (Or (Eq (iext uri_rdf_first a_4 a_5) False) % 6.38/6.60 (Or (Eq (icext uri_ex_PersonAttribute a_6) False) % 6.38/6.60 (Or (Eq (iext uri_rdf_first (skS.0 1 a_7) a_8) False) % 6.38/6.60 (Or (Eq (iext uri_rdf_rest (skS.0 1 a_7) a_4) False) (Eq (icext a_5 a_6) True)))))) % 6.38/6.60 Clause #231 (by superposition #[230, 128]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota), % 6.38/6.60 Or (Eq (iext uri_rdf_rest a (skS.0 3 a_1 a_2 a_3)) False) % 6.38/6.60 (Or (Eq (iext uri_rdf_first a a_4) False) % 6.38/6.60 (Or (Eq (icext uri_ex_PersonAttribute a_5) False) % 6.38/6.60 (Or (Eq (iext uri_rdf_first (skS.0 1 a_6) a_7) False) % 6.38/6.60 (Or (Eq (iext uri_rdf_rest (skS.0 1 a_6) a) False) (Or (Eq (icext a_4 a_5) True) (Eq False True)))))) % 6.38/6.60 Clause #236 (by clausification #[231]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota), % 6.38/6.60 Or (Eq (iext uri_rdf_rest a (skS.0 3 a_1 a_2 a_3)) False) % 6.38/6.60 (Or (Eq (iext uri_rdf_first a a_4) False) % 6.38/6.60 (Or (Eq (icext uri_ex_PersonAttribute a_5) False) % 6.38/6.60 (Or (Eq (iext uri_rdf_first (skS.0 1 a_6) a_7) False) % 6.38/6.60 (Or (Eq (iext uri_rdf_rest (skS.0 1 a_6) a) False) (Eq (icext a_4 a_5) True))))) % 6.38/6.60 Clause #237 (by superposition #[236, 137]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota), % 6.38/6.60 Or (Eq (iext uri_rdf_first (skS.0 2 a a_1) a_2) False) % 6.38/6.60 (Or (Eq (icext uri_ex_PersonAttribute a_3) False) % 6.38/6.60 (Or (Eq (iext uri_rdf_first (skS.0 1 a_4) a_5) False) % 6.38/6.60 (Or (Eq (iext uri_rdf_rest (skS.0 1 a_4) (skS.0 2 a a_1)) False) % 6.38/6.60 (Or (Eq (icext a_2 a_3) True) (Eq False True))))) % 6.38/6.60 Clause #238 (by clausification #[237]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota), % 6.38/6.60 Or (Eq (iext uri_rdf_first (skS.0 2 a a_1) a_2) False) % 6.38/6.60 (Or (Eq (icext uri_ex_PersonAttribute a_3) False) % 6.38/6.60 (Or (Eq (iext uri_rdf_first (skS.0 1 a_4) a_5) False) % 6.38/6.60 (Or (Eq (iext uri_rdf_rest (skS.0 1 a_4) (skS.0 2 a a_1)) False) (Eq (icext a_2 a_3) True)))) % 6.38/6.60 Clause #239 (by superposition #[238, 139]): ∀ (a a_1 a_2 a_3 a_4 : Iota), % 6.38/6.60 Or (Eq (icext uri_ex_PersonAttribute a) False) % 6.38/6.60 (Or (Eq (iext uri_rdf_first (skS.0 1 a_1) a_2) False) % 6.38/6.60 (Or (Eq (iext uri_rdf_rest (skS.0 1 a_1) (skS.0 2 a_3 a_4)) False) % 6.38/6.60 (Or (Eq (icext uri_owl_FunctionalProperty a) True) (Eq False True)))) % 6.38/6.60 Clause #242 (by clausification #[239]): ∀ (a a_1 a_2 a_3 a_4 : Iota), % 6.38/6.60 Or (Eq (icext uri_ex_PersonAttribute a) False) % 6.38/6.60 (Or (Eq (iext uri_rdf_first (skS.0 1 a_1) a_2) False) % 6.38/6.60 (Or (Eq (iext uri_rdf_rest (skS.0 1 a_1) (skS.0 2 a_3 a_4)) False) % 6.38/6.60 (Eq (icext uri_owl_FunctionalProperty a) True))) % 6.38/6.60 Clause #243 (by superposition #[242, 90]): ∀ (a a_1 a_2 a_3 : Iota), % 6.38/6.60 Or (Eq (iext uri_rdf_first (skS.0 1 a) a_1) False) % 6.38/6.60 (Or (Eq (iext uri_rdf_rest (skS.0 1 a) (skS.0 2 a_2 a_3)) False) % 6.38/6.60 (Or (Eq (icext uri_owl_FunctionalProperty uri_ex_name) True) (Eq False True))) % 6.38/6.60 Clause #244 (by clausification #[243]): ∀ (a a_1 a_2 a_3 : Iota), % 6.38/6.60 Or (Eq (iext uri_rdf_first (skS.0 1 a) a_1) False) % 6.38/6.60 (Or (Eq (iext uri_rdf_rest (skS.0 1 a) (skS.0 2 a_2 a_3)) False) % 6.38/6.60 (Eq (icext uri_owl_FunctionalProperty uri_ex_name) True)) % 6.38/6.60 Clause #245 (by superposition #[244, 143]): ∀ (a a_1 a_2 : Iota), % 6.38/6.60 Or (Eq (iext uri_rdf_rest (skS.0 1 a) (skS.0 2 a_1 a_2)) False) % 6.38/6.60 (Or (Eq (icext uri_owl_FunctionalProperty uri_ex_name) True) (Eq False True)) % 6.38/6.60 Clause #246 (by clausification #[245]): ∀ (a a_1 a_2 : Iota), % 6.38/6.60 Or (Eq (iext uri_rdf_rest (skS.0 1 a) (skS.0 2 a_1 a_2)) False) % 6.38/6.60 (Eq (icext uri_owl_FunctionalProperty uri_ex_name) True) % 6.38/6.60 Clause #247 (by superposition #[246, 141]): Or (Eq (icext uri_owl_FunctionalProperty uri_ex_name) True) (Eq False True) % 6.45/6.62 Clause #248 (by clausification #[247]): Eq (icext uri_owl_FunctionalProperty uri_ex_name) True % 6.45/6.62 Clause #249 (by superposition #[248, 14]): Or (Eq (iext uri_rdf_type uri_ex_name uri_owl_FunctionalProperty) True) (Eq True False) % 6.45/6.62 Clause #250 (by clausification #[249]): Eq (iext uri_rdf_type uri_ex_name uri_owl_FunctionalProperty) True % 6.45/6.62 Clause #251 (by backward demodulation #[250, 17]): Or (Eq True False) (Eq (iext uri_rdf_type uri_ex_alice uri_foaf_Person) False) % 6.45/6.62 Clause #257 (by clausification #[251]): Eq (iext uri_rdf_type uri_ex_alice uri_foaf_Person) False % 6.45/6.62 Clause #258 (by clausification #[217]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota), % 6.45/6.62 Or (Eq (iext uri_rdf_first (skS.0 2 a a_1) a_2) False) % 6.45/6.62 (Or (Eq (icext uri_ex_PersonAttribute a_3) False) % 6.45/6.62 (Or (Eq (iext uri_rdf_first (skS.0 1 a_4) a_5) False) % 6.45/6.62 (Or (Eq (iext uri_rdf_rest (skS.0 1 a_4) (skS.0 2 a a_1)) False) % 6.45/6.62 (Eq (icext (skS.0 4 a a_1 a_6 a_7) a_3) True)))) % 6.45/6.62 Clause #259 (by superposition #[258, 139]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota), % 6.45/6.62 Or (Eq (icext uri_ex_PersonAttribute a) False) % 6.45/6.62 (Or (Eq (iext uri_rdf_first (skS.0 1 a_1) a_2) False) % 6.45/6.62 (Or (Eq (iext uri_rdf_rest (skS.0 1 a_1) (skS.0 2 a_3 a_4)) False) % 6.45/6.62 (Or (Eq (icext (skS.0 4 a_3 a_4 a_5 a_6) a) True) (Eq False True)))) % 6.45/6.62 Clause #260 (by clausification #[259]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota), % 6.45/6.62 Or (Eq (icext uri_ex_PersonAttribute a) False) % 6.45/6.62 (Or (Eq (iext uri_rdf_first (skS.0 1 a_1) a_2) False) % 6.45/6.62 (Or (Eq (iext uri_rdf_rest (skS.0 1 a_1) (skS.0 2 a_3 a_4)) False) (Eq (icext (skS.0 4 a_3 a_4 a_5 a_6) a) True))) % 6.45/6.62 Clause #261 (by superposition #[260, 90]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota), % 6.45/6.62 Or (Eq (iext uri_rdf_first (skS.0 1 a) a_1) False) % 6.45/6.62 (Or (Eq (iext uri_rdf_rest (skS.0 1 a) (skS.0 2 a_2 a_3)) False) % 6.45/6.62 (Or (Eq (icext (skS.0 4 a_2 a_3 a_4 a_5) uri_ex_name) True) (Eq False True))) % 6.45/6.62 Clause #262 (by clausification #[261]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota), % 6.45/6.62 Or (Eq (iext uri_rdf_first (skS.0 1 a) a_1) False) % 6.45/6.62 (Or (Eq (iext uri_rdf_rest (skS.0 1 a) (skS.0 2 a_2 a_3)) False) % 6.45/6.62 (Eq (icext (skS.0 4 a_2 a_3 a_4 a_5) uri_ex_name) True)) % 6.45/6.62 Clause #263 (by superposition #[262, 143]): ∀ (a a_1 a_2 a_3 a_4 : Iota), % 6.45/6.62 Or (Eq (iext uri_rdf_rest (skS.0 1 a) (skS.0 2 a_1 a_2)) False) % 6.45/6.62 (Or (Eq (icext (skS.0 4 a_1 a_2 a_3 a_4) uri_ex_name) True) (Eq False True)) % 6.45/6.62 Clause #268 (by clausification #[263]): ∀ (a a_1 a_2 a_3 a_4 : Iota), % 6.45/6.62 Or (Eq (iext uri_rdf_rest (skS.0 1 a) (skS.0 2 a_1 a_2)) False) % 6.45/6.62 (Eq (icext (skS.0 4 a_1 a_2 a_3 a_4) uri_ex_name) True) % 6.45/6.62 Clause #269 (by superposition #[268, 141]): ∀ (a a_1 a_2 a_3 : Iota), Or (Eq (icext (skS.0 4 a a_1 a_2 a_3) uri_ex_name) True) (Eq False True) % 6.45/6.62 Clause #270 (by clausification #[269]): ∀ (a a_1 a_2 a_3 : Iota), Eq (icext (skS.0 4 a a_1 a_2 a_3) uri_ex_name) True % 6.45/6.62 Clause #271 (by superposition #[270, 102]): Or (Eq True False) (Eq (iext uri_rdfs_domain uri_ex_name uri_foaf_Person) True) % 6.45/6.62 Clause #273 (by clausification #[271]): Eq (iext uri_rdfs_domain uri_ex_name uri_foaf_Person) True % 6.45/6.62 Clause #275 (by superposition #[273, 11]): ∀ (a a_1 : Iota), Or (Eq (icext uri_foaf_Person a) True) (Or (Eq True False) (Eq (iext uri_ex_name a a_1) False)) % 6.45/6.62 Clause #276 (by clausification #[275]): ∀ (a a_1 : Iota), Or (Eq (icext uri_foaf_Person a) True) (Eq (iext uri_ex_name a a_1) False) % 6.45/6.62 Clause #277 (by superposition #[276, 78]): Or (Eq (icext uri_foaf_Person uri_ex_alice) True) (Eq False True) % 6.45/6.62 Clause #278 (by clausification #[277]): Eq (icext uri_foaf_Person uri_ex_alice) True % 6.45/6.62 Clause #279 (by superposition #[278, 14]): Or (Eq (iext uri_rdf_type uri_ex_alice uri_foaf_Person) True) (Eq True False) % 6.45/6.62 Clause #284 (by clausification #[279]): Eq (iext uri_rdf_type uri_ex_alice uri_foaf_Person) True % 6.45/6.62 Clause #285 (by superposition #[284, 257]): Eq True False % 6.45/6.62 Clause #287 (by clausification #[285]): False % 6.45/6.62 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------