TSTP Solution File: SWB012+2 by Duper---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Duper---1.0
% Problem : SWB012+2 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n009.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 : Thu Aug 31 20:03:57 EDT 2023
% Result : Theorem 5.84s 6.03s
% Output : Proof 6.03s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWB012+2 : TPTP v8.1.2. Released v5.2.0.
% 0.11/0.13 % Command : duper %s
% 0.13/0.34 % Computer : n009.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sun Aug 27 06:43:35 EDT 2023
% 0.13/0.34 % CPUTime :
% 5.84/6.03 SZS status Theorem for theBenchmark.p
% 5.84/6.03 SZS output start Proof for theBenchmark.p
% 5.84/6.03 Clause #0 (by assumption #[]): Eq (∀ (X C : Iota), Iff (iext uri_rdf_type X C) (icext C X)) True
% 5.84/6.03 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
% 5.84/6.03 Clause #2 (by assumption #[]): Eq
% 5.84/6.03 (∀ (Z S1 C1 S2 C2 S3 C3 : Iota),
% 5.84/6.03 And
% 5.84/6.03 (And
% 5.84/6.03 (And (And (And (iext uri_rdf_first S1 C1) (iext uri_rdf_rest S1 S2)) (iext uri_rdf_first S2 C2))
% 5.84/6.03 (iext uri_rdf_rest S2 S3))
% 5.84/6.03 (iext uri_rdf_first S3 C3))
% 5.84/6.03 (iext uri_rdf_rest S3 uri_rdf_nil) →
% 5.84/6.03 Iff (iext uri_owl_intersectionOf Z S1)
% 5.84/6.03 (And (And (And (And (ic Z) (ic C1)) (ic C2)) (ic C3))
% 5.84/6.03 (∀ (X : Iota), Iff (icext Z X) (And (And (icext C1 X) (icext C2 X)) (icext C3 X)))))
% 5.84/6.03 True
% 5.84/6.03 Clause #3 (by assumption #[]): Eq
% 5.84/6.03 (∀ (Z P A : Iota),
% 5.84/6.03 And (iext uri_owl_hasValue Z A) (iext uri_owl_onProperty Z P) → ∀ (X : Iota), Iff (icext Z X) (iext P X A))
% 5.84/6.03 True
% 5.84/6.03 Clause #4 (by assumption #[]): Eq
% 5.84/6.03 (Not
% 5.84/6.03 (And (iext uri_rdf_type uri_ex_name uri_owl_FunctionalProperty) (iext uri_rdf_type uri_ex_alice uri_foaf_Person)))
% 5.84/6.03 True
% 5.84/6.03 Clause #5 (by assumption #[]): Eq
% 5.84/6.03 (Exists fun BNODE_l1 =>
% 5.84/6.03 Exists fun BNODE_l2 =>
% 5.84/6.03 Exists fun BNODE_l3 =>
% 5.84/6.03 Exists fun BNODE_r =>
% 5.84/6.03 And
% 5.84/6.03 (And
% 5.84/6.03 (And
% 5.84/6.03 (And
% 5.84/6.03 (And
% 5.84/6.03 (And
% 5.84/6.03 (And
% 5.84/6.03 (And
% 5.84/6.03 (And
% 5.84/6.03 (And
% 5.84/6.03 (And
% 5.84/6.03 (And (iext uri_rdf_type uri_foaf_Person uri_owl_Class)
% 5.84/6.03 (iext uri_owl_intersectionOf uri_ex_PersonAttribute BNODE_l1))
% 5.84/6.03 (iext uri_rdf_first BNODE_l1 uri_owl_DatatypeProperty))
% 5.84/6.03 (iext uri_rdf_rest BNODE_l1 BNODE_l2))
% 5.84/6.03 (iext uri_rdf_first BNODE_l2 uri_owl_FunctionalProperty))
% 5.84/6.03 (iext uri_rdf_rest BNODE_l2 BNODE_l3))
% 5.84/6.03 (iext uri_rdf_first BNODE_l3 BNODE_r))
% 5.84/6.03 (iext uri_rdf_rest BNODE_l3 uri_rdf_nil))
% 5.84/6.03 (iext uri_rdf_type BNODE_r uri_owl_Restriction))
% 5.84/6.03 (iext uri_owl_onProperty BNODE_r uri_rdfs_domain))
% 5.84/6.03 (iext uri_owl_hasValue BNODE_r uri_foaf_Person))
% 5.84/6.03 (iext uri_rdf_type uri_ex_name uri_ex_PersonAttribute))
% 5.84/6.03 (iext uri_ex_name uri_ex_alice (literal_plain dat_str_alice)))
% 5.84/6.03 True
% 5.84/6.03 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
% 5.84/6.03 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
% 5.84/6.03 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
% 5.84/6.03 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
% 5.84/6.03 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)
% 5.84/6.03 Clause #11 (by clausification #[10]): ∀ (a a_1 a_2 a_3 : Iota),
% 5.84/6.03 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))
% 5.84/6.03 Clause #12 (by clausification #[0]): ∀ (a : Iota), Eq (∀ (C : Iota), Iff (iext uri_rdf_type a C) (icext C a)) True
% 5.84/6.03 Clause #13 (by clausification #[12]): ∀ (a a_1 : Iota), Eq (Iff (iext uri_rdf_type a a_1) (icext a_1 a)) True
% 5.84/6.03 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)
% 5.84/6.03 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)
% 5.84/6.03 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))
% 5.84/6.05 False
% 5.84/6.05 Clause #17 (by clausification #[16]): Or (Eq (iext uri_rdf_type uri_ex_name uri_owl_FunctionalProperty) False)
% 5.84/6.05 (Eq (iext uri_rdf_type uri_ex_alice uri_foaf_Person) False)
% 5.84/6.05 Clause #18 (by clausification #[3]): ∀ (a : Iota),
% 5.84/6.05 Eq
% 5.84/6.05 (∀ (P A : Iota),
% 5.84/6.05 And (iext uri_owl_hasValue a A) (iext uri_owl_onProperty a P) → ∀ (X : Iota), Iff (icext a X) (iext P X A))
% 5.84/6.05 True
% 5.84/6.05 Clause #19 (by clausification #[18]): ∀ (a a_1 : Iota),
% 5.84/6.05 Eq
% 5.84/6.05 (∀ (A : Iota),
% 5.84/6.05 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))
% 5.84/6.05 True
% 5.84/6.05 Clause #20 (by clausification #[19]): ∀ (a a_1 a_2 : Iota),
% 5.84/6.05 Eq
% 5.84/6.05 (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))
% 5.84/6.05 True
% 5.84/6.05 Clause #21 (by clausification #[20]): ∀ (a a_1 a_2 : Iota),
% 5.84/6.05 Or (Eq (And (iext uri_owl_hasValue a a_1) (iext uri_owl_onProperty a a_2)) False)
% 5.84/6.05 (Eq (∀ (X : Iota), Iff (icext a X) (iext a_2 X a_1)) True)
% 5.84/6.05 Clause #22 (by clausification #[21]): ∀ (a a_1 a_2 : Iota),
% 5.84/6.05 Or (Eq (∀ (X : Iota), Iff (icext a X) (iext a_1 X a_2)) True)
% 5.84/6.05 (Or (Eq (iext uri_owl_hasValue a a_2) False) (Eq (iext uri_owl_onProperty a a_1) False))
% 5.84/6.05 Clause #23 (by clausification #[22]): ∀ (a a_1 a_2 a_3 : Iota),
% 5.84/6.05 Or (Eq (iext uri_owl_hasValue a a_1) False)
% 5.84/6.05 (Or (Eq (iext uri_owl_onProperty a a_2) False) (Eq (Iff (icext a a_3) (iext a_2 a_3 a_1)) True))
% 5.84/6.05 Clause #25 (by clausification #[23]): ∀ (a a_1 a_2 a_3 : Iota),
% 5.84/6.05 Or (Eq (iext uri_owl_hasValue a a_1) False)
% 5.84/6.05 (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)))
% 5.84/6.05 Clause #26 (by clausification #[2]): ∀ (a : Iota),
% 5.84/6.05 Eq
% 5.84/6.05 (∀ (S1 C1 S2 C2 S3 C3 : Iota),
% 5.84/6.05 And
% 5.84/6.05 (And
% 5.84/6.05 (And (And (And (iext uri_rdf_first S1 C1) (iext uri_rdf_rest S1 S2)) (iext uri_rdf_first S2 C2))
% 5.84/6.05 (iext uri_rdf_rest S2 S3))
% 5.84/6.05 (iext uri_rdf_first S3 C3))
% 5.84/6.05 (iext uri_rdf_rest S3 uri_rdf_nil) →
% 5.84/6.05 Iff (iext uri_owl_intersectionOf a S1)
% 5.84/6.05 (And (And (And (And (ic a) (ic C1)) (ic C2)) (ic C3))
% 5.84/6.05 (∀ (X : Iota), Iff (icext a X) (And (And (icext C1 X) (icext C2 X)) (icext C3 X)))))
% 5.84/6.05 True
% 5.84/6.05 Clause #27 (by clausification #[26]): ∀ (a a_1 : Iota),
% 5.84/6.05 Eq
% 5.84/6.05 (∀ (C1 S2 C2 S3 C3 : Iota),
% 5.84/6.05 And
% 5.84/6.05 (And
% 5.84/6.05 (And (And (And (iext uri_rdf_first a C1) (iext uri_rdf_rest a S2)) (iext uri_rdf_first S2 C2))
% 5.84/6.05 (iext uri_rdf_rest S2 S3))
% 5.84/6.05 (iext uri_rdf_first S3 C3))
% 5.84/6.05 (iext uri_rdf_rest S3 uri_rdf_nil) →
% 5.84/6.05 Iff (iext uri_owl_intersectionOf a_1 a)
% 5.84/6.05 (And (And (And (And (ic a_1) (ic C1)) (ic C2)) (ic C3))
% 5.84/6.05 (∀ (X : Iota), Iff (icext a_1 X) (And (And (icext C1 X) (icext C2 X)) (icext C3 X)))))
% 5.84/6.05 True
% 5.84/6.05 Clause #28 (by clausification #[27]): ∀ (a a_1 a_2 : Iota),
% 5.84/6.05 Eq
% 5.84/6.05 (∀ (S2 C2 S3 C3 : Iota),
% 5.84/6.05 And
% 5.84/6.05 (And
% 5.84/6.05 (And (And (And (iext uri_rdf_first a a_1) (iext uri_rdf_rest a S2)) (iext uri_rdf_first S2 C2))
% 5.84/6.05 (iext uri_rdf_rest S2 S3))
% 5.84/6.05 (iext uri_rdf_first S3 C3))
% 5.84/6.05 (iext uri_rdf_rest S3 uri_rdf_nil) →
% 5.84/6.05 Iff (iext uri_owl_intersectionOf a_2 a)
% 5.84/6.05 (And (And (And (And (ic a_2) (ic a_1)) (ic C2)) (ic C3))
% 5.84/6.05 (∀ (X : Iota), Iff (icext a_2 X) (And (And (icext a_1 X) (icext C2 X)) (icext C3 X)))))
% 5.84/6.05 True
% 5.84/6.05 Clause #29 (by clausification #[28]): ∀ (a a_1 a_2 a_3 : Iota),
% 5.84/6.05 Eq
% 5.84/6.05 (∀ (C2 S3 C3 : Iota),
% 5.84/6.05 And
% 5.84/6.05 (And
% 5.84/6.05 (And (And (And (iext uri_rdf_first a a_1) (iext uri_rdf_rest a a_2)) (iext uri_rdf_first a_2 C2))
% 5.84/6.05 (iext uri_rdf_rest a_2 S3))
% 5.84/6.05 (iext uri_rdf_first S3 C3))
% 5.84/6.05 (iext uri_rdf_rest S3 uri_rdf_nil) →
% 5.84/6.05 Iff (iext uri_owl_intersectionOf a_3 a)
% 5.84/6.05 (And (And (And (And (ic a_3) (ic a_1)) (ic C2)) (ic C3))
% 5.84/6.05 (∀ (X : Iota), Iff (icext a_3 X) (And (And (icext a_1 X) (icext C2 X)) (icext C3 X)))))
% 5.84/6.05 True
% 5.84/6.05 Clause #30 (by clausification #[29]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 5.84/6.07 Eq
% 5.84/6.07 (∀ (S3 C3 : Iota),
% 5.84/6.07 And
% 5.84/6.07 (And
% 5.84/6.07 (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))
% 5.84/6.07 (iext uri_rdf_rest a_2 S3))
% 5.84/6.07 (iext uri_rdf_first S3 C3))
% 5.84/6.07 (iext uri_rdf_rest S3 uri_rdf_nil) →
% 5.84/6.07 Iff (iext uri_owl_intersectionOf a_4 a)
% 5.84/6.07 (And (And (And (And (ic a_4) (ic a_1)) (ic a_3)) (ic C3))
% 5.84/6.07 (∀ (X : Iota), Iff (icext a_4 X) (And (And (icext a_1 X) (icext a_3 X)) (icext C3 X)))))
% 5.84/6.07 True
% 5.84/6.07 Clause #31 (by clausification #[30]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 5.84/6.07 Eq
% 5.84/6.07 (∀ (C3 : Iota),
% 5.84/6.07 And
% 5.84/6.07 (And
% 5.84/6.07 (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))
% 5.84/6.07 (iext uri_rdf_rest a_2 a_4))
% 5.84/6.07 (iext uri_rdf_first a_4 C3))
% 5.84/6.07 (iext uri_rdf_rest a_4 uri_rdf_nil) →
% 5.84/6.07 Iff (iext uri_owl_intersectionOf a_5 a)
% 5.84/6.07 (And (And (And (And (ic a_5) (ic a_1)) (ic a_3)) (ic C3))
% 5.84/6.07 (∀ (X : Iota), Iff (icext a_5 X) (And (And (icext a_1 X) (icext a_3 X)) (icext C3 X)))))
% 5.84/6.07 True
% 5.84/6.07 Clause #32 (by clausification #[31]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota),
% 5.84/6.07 Eq
% 5.84/6.07 (And
% 5.84/6.07 (And
% 5.84/6.07 (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))
% 5.84/6.07 (iext uri_rdf_rest a_2 a_4))
% 5.84/6.07 (iext uri_rdf_first a_4 a_5))
% 5.84/6.07 (iext uri_rdf_rest a_4 uri_rdf_nil) →
% 5.84/6.07 Iff (iext uri_owl_intersectionOf a_6 a)
% 5.84/6.07 (And (And (And (And (ic a_6) (ic a_1)) (ic a_3)) (ic a_5))
% 5.84/6.07 (∀ (X : Iota), Iff (icext a_6 X) (And (And (icext a_1 X) (icext a_3 X)) (icext a_5 X)))))
% 5.84/6.07 True
% 5.84/6.07 Clause #33 (by clausification #[32]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota),
% 5.84/6.07 Or
% 5.84/6.07 (Eq
% 5.84/6.07 (And
% 5.84/6.07 (And
% 5.84/6.07 (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))
% 5.84/6.07 (iext uri_rdf_rest a_2 a_4))
% 5.84/6.07 (iext uri_rdf_first a_4 a_5))
% 5.84/6.07 (iext uri_rdf_rest a_4 uri_rdf_nil))
% 5.84/6.07 False)
% 5.84/6.07 (Eq
% 5.84/6.07 (Iff (iext uri_owl_intersectionOf a_6 a)
% 5.84/6.07 (And (And (And (And (ic a_6) (ic a_1)) (ic a_3)) (ic a_5))
% 5.84/6.07 (∀ (X : Iota), Iff (icext a_6 X) (And (And (icext a_1 X) (icext a_3 X)) (icext a_5 X)))))
% 5.84/6.07 True)
% 5.84/6.07 Clause #34 (by clausification #[33]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota),
% 5.84/6.07 Or
% 5.84/6.07 (Eq
% 5.84/6.07 (Iff (iext uri_owl_intersectionOf a a_1)
% 5.84/6.07 (And (And (And (And (ic a) (ic a_2)) (ic a_3)) (ic a_4))
% 5.84/6.07 (∀ (X : Iota), Iff (icext a X) (And (And (icext a_2 X) (icext a_3 X)) (icext a_4 X)))))
% 5.84/6.07 True)
% 5.84/6.07 (Or
% 5.84/6.07 (Eq
% 5.84/6.07 (And
% 5.84/6.07 (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))
% 5.84/6.07 (iext uri_rdf_rest a_5 a_6))
% 5.84/6.07 (iext uri_rdf_first a_6 a_4))
% 5.84/6.07 False)
% 5.84/6.07 (Eq (iext uri_rdf_rest a_6 uri_rdf_nil) False))
% 5.84/6.07 Clause #36 (by clausification #[34]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota),
% 5.84/6.07 Or
% 5.84/6.07 (Eq
% 5.84/6.07 (And
% 5.84/6.07 (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))
% 5.84/6.07 (iext uri_rdf_rest a_2 a_4))
% 5.84/6.07 (iext uri_rdf_first a_4 a_5))
% 5.84/6.07 False)
% 5.84/6.07 (Or (Eq (iext uri_rdf_rest a_4 uri_rdf_nil) False)
% 5.84/6.07 (Or (Eq (iext uri_owl_intersectionOf a_6 a) False)
% 5.84/6.07 (Eq
% 5.84/6.07 (And (And (And (And (ic a_6) (ic a_1)) (ic a_3)) (ic a_5))
% 5.84/6.07 (∀ (X : Iota), Iff (icext a_6 X) (And (And (icext a_1 X) (icext a_3 X)) (icext a_5 X))))
% 5.84/6.07 True)))
% 5.84/6.07 Clause #51 (by clausification #[36]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota),
% 5.84/6.07 Or (Eq (iext uri_rdf_rest a uri_rdf_nil) False)
% 5.84/6.07 (Or (Eq (iext uri_owl_intersectionOf a_1 a_2) False)
% 5.84/6.07 (Or
% 5.84/6.07 (Eq
% 5.84/6.07 (And (And (And (And (ic a_1) (ic a_3)) (ic a_4)) (ic a_5))
% 5.84/6.07 (∀ (X : Iota), Iff (icext a_1 X) (And (And (icext a_3 X) (icext a_4 X)) (icext a_5 X))))
% 5.84/6.07 True)
% 5.84/6.07 (Or
% 5.84/6.07 (Eq
% 5.84/6.07 (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))
% 5.84/6.07 (iext uri_rdf_rest a_6 a))
% 5.84/6.07 False)
% 5.84/6.08 (Eq (iext uri_rdf_first a a_5) False))))
% 5.84/6.08 Clause #52 (by clausification #[51]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota),
% 5.84/6.08 Or (Eq (iext uri_rdf_rest a uri_rdf_nil) False)
% 5.84/6.08 (Or (Eq (iext uri_owl_intersectionOf a_1 a_2) False)
% 5.84/6.08 (Or
% 5.84/6.08 (Eq
% 5.84/6.08 (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))
% 5.84/6.08 (iext uri_rdf_rest a_4 a))
% 5.84/6.08 False)
% 5.84/6.08 (Or (Eq (iext uri_rdf_first a a_6) False)
% 5.84/6.08 (Eq (∀ (X : Iota), Iff (icext a_1 X) (And (And (icext a_3 X) (icext a_5 X)) (icext a_6 X))) True))))
% 5.84/6.08 Clause #54 (by clausification #[52]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota),
% 5.84/6.08 Or (Eq (iext uri_rdf_rest a uri_rdf_nil) False)
% 5.84/6.08 (Or (Eq (iext uri_owl_intersectionOf a_1 a_2) False)
% 5.84/6.08 (Or (Eq (iext uri_rdf_first a a_3) False)
% 5.84/6.08 (Or (Eq (∀ (X : Iota), Iff (icext a_1 X) (And (And (icext a_4 X) (icext a_5 X)) (icext a_3 X))) True)
% 5.84/6.08 (Or
% 5.84/6.08 (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)
% 5.84/6.08 (Eq (iext uri_rdf_rest a_6 a) False)))))
% 5.84/6.08 Clause #55 (by clausification #[54]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota),
% 5.84/6.08 Or (Eq (iext uri_rdf_rest a uri_rdf_nil) False)
% 5.84/6.08 (Or (Eq (iext uri_owl_intersectionOf a_1 a_2) False)
% 5.84/6.08 (Or (Eq (iext uri_rdf_first a a_3) False)
% 5.84/6.08 (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)
% 5.84/6.08 (Or (Eq (iext uri_rdf_rest a_5 a) False)
% 5.84/6.08 (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)))))
% 5.84/6.08 Clause #56 (by clausification #[55]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota),
% 5.84/6.08 Or (Eq (iext uri_rdf_rest a uri_rdf_nil) False)
% 5.84/6.08 (Or (Eq (iext uri_owl_intersectionOf a_1 a_2) False)
% 5.84/6.08 (Or (Eq (iext uri_rdf_first a a_3) False)
% 5.84/6.08 (Or (Eq (iext uri_rdf_rest a_4 a) False)
% 5.84/6.08 (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)
% 5.84/6.08 (Or (Eq (And (iext uri_rdf_first a_2 a_6) (iext uri_rdf_rest a_2 a_4)) False)
% 5.84/6.08 (Eq (iext uri_rdf_first a_4 a_7) False))))))
% 5.84/6.08 Clause #58 (by clausification #[56]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota),
% 5.84/6.08 Or (Eq (iext uri_rdf_rest a uri_rdf_nil) False)
% 5.84/6.08 (Or (Eq (iext uri_owl_intersectionOf a_1 a_2) False)
% 5.84/6.08 (Or (Eq (iext uri_rdf_first a a_3) False)
% 5.84/6.08 (Or (Eq (iext uri_rdf_rest a_4 a) False)
% 5.84/6.08 (Or (Eq (And (iext uri_rdf_first a_2 a_5) (iext uri_rdf_rest a_2 a_4)) False)
% 5.84/6.08 (Or (Eq (iext uri_rdf_first a_4 a_6) False)
% 5.84/6.08 (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)))))))
% 5.84/6.08 Clause #74 (by clausification #[5]): ∀ (a : Iota),
% 5.84/6.08 Eq
% 5.84/6.08 (Exists fun BNODE_l2 =>
% 5.84/6.08 Exists fun BNODE_l3 =>
% 5.84/6.08 Exists fun BNODE_r =>
% 5.84/6.08 And
% 5.84/6.08 (And
% 5.84/6.08 (And
% 5.84/6.08 (And
% 5.84/6.08 (And
% 5.84/6.08 (And
% 5.84/6.08 (And
% 5.84/6.08 (And
% 5.84/6.08 (And
% 5.84/6.08 (And
% 5.84/6.08 (And
% 5.84/6.08 (And (iext uri_rdf_type uri_foaf_Person uri_owl_Class)
% 5.84/6.08 (iext uri_owl_intersectionOf uri_ex_PersonAttribute (skS.0 1 a)))
% 5.84/6.08 (iext uri_rdf_first (skS.0 1 a) uri_owl_DatatypeProperty))
% 5.84/6.08 (iext uri_rdf_rest (skS.0 1 a) BNODE_l2))
% 5.84/6.08 (iext uri_rdf_first BNODE_l2 uri_owl_FunctionalProperty))
% 5.84/6.08 (iext uri_rdf_rest BNODE_l2 BNODE_l3))
% 5.84/6.08 (iext uri_rdf_first BNODE_l3 BNODE_r))
% 5.84/6.08 (iext uri_rdf_rest BNODE_l3 uri_rdf_nil))
% 5.84/6.08 (iext uri_rdf_type BNODE_r uri_owl_Restriction))
% 5.84/6.08 (iext uri_owl_onProperty BNODE_r uri_rdfs_domain))
% 5.84/6.08 (iext uri_owl_hasValue BNODE_r uri_foaf_Person))
% 5.84/6.08 (iext uri_rdf_type uri_ex_name uri_ex_PersonAttribute))
% 5.84/6.08 (iext uri_ex_name uri_ex_alice (literal_plain dat_str_alice)))
% 5.93/6.10 True
% 5.93/6.10 Clause #75 (by clausification #[74]): ∀ (a a_1 : Iota),
% 5.93/6.10 Eq
% 5.93/6.10 (Exists fun BNODE_l3 =>
% 5.93/6.10 Exists fun BNODE_r =>
% 5.93/6.10 And
% 5.93/6.10 (And
% 5.93/6.10 (And
% 5.93/6.10 (And
% 5.93/6.10 (And
% 5.93/6.10 (And
% 5.93/6.10 (And
% 5.93/6.10 (And
% 5.93/6.10 (And
% 5.93/6.10 (And
% 5.93/6.10 (And
% 5.93/6.10 (And (iext uri_rdf_type uri_foaf_Person uri_owl_Class)
% 5.93/6.10 (iext uri_owl_intersectionOf uri_ex_PersonAttribute (skS.0 1 a)))
% 5.93/6.10 (iext uri_rdf_first (skS.0 1 a) uri_owl_DatatypeProperty))
% 5.93/6.10 (iext uri_rdf_rest (skS.0 1 a) (skS.0 2 a a_1)))
% 5.93/6.10 (iext uri_rdf_first (skS.0 2 a a_1) uri_owl_FunctionalProperty))
% 5.93/6.10 (iext uri_rdf_rest (skS.0 2 a a_1) BNODE_l3))
% 5.93/6.10 (iext uri_rdf_first BNODE_l3 BNODE_r))
% 5.93/6.10 (iext uri_rdf_rest BNODE_l3 uri_rdf_nil))
% 5.93/6.10 (iext uri_rdf_type BNODE_r uri_owl_Restriction))
% 5.93/6.10 (iext uri_owl_onProperty BNODE_r uri_rdfs_domain))
% 5.93/6.10 (iext uri_owl_hasValue BNODE_r uri_foaf_Person))
% 5.93/6.10 (iext uri_rdf_type uri_ex_name uri_ex_PersonAttribute))
% 5.93/6.10 (iext uri_ex_name uri_ex_alice (literal_plain dat_str_alice)))
% 5.93/6.10 True
% 5.93/6.10 Clause #76 (by clausification #[75]): ∀ (a a_1 a_2 : Iota),
% 5.93/6.10 Eq
% 5.93/6.10 (Exists fun BNODE_r =>
% 5.93/6.10 And
% 5.93/6.10 (And
% 5.93/6.10 (And
% 5.93/6.10 (And
% 5.93/6.10 (And
% 5.93/6.10 (And
% 5.93/6.10 (And
% 5.93/6.10 (And
% 5.93/6.10 (And
% 5.93/6.10 (And
% 5.93/6.10 (And
% 5.93/6.10 (And (iext uri_rdf_type uri_foaf_Person uri_owl_Class)
% 5.93/6.10 (iext uri_owl_intersectionOf uri_ex_PersonAttribute (skS.0 1 a)))
% 5.93/6.10 (iext uri_rdf_first (skS.0 1 a) uri_owl_DatatypeProperty))
% 5.93/6.10 (iext uri_rdf_rest (skS.0 1 a) (skS.0 2 a a_1)))
% 5.93/6.10 (iext uri_rdf_first (skS.0 2 a a_1) uri_owl_FunctionalProperty))
% 5.93/6.10 (iext uri_rdf_rest (skS.0 2 a a_1) (skS.0 3 a a_1 a_2)))
% 5.93/6.10 (iext uri_rdf_first (skS.0 3 a a_1 a_2) BNODE_r))
% 5.93/6.10 (iext uri_rdf_rest (skS.0 3 a a_1 a_2) uri_rdf_nil))
% 5.93/6.10 (iext uri_rdf_type BNODE_r uri_owl_Restriction))
% 5.93/6.10 (iext uri_owl_onProperty BNODE_r uri_rdfs_domain))
% 5.93/6.10 (iext uri_owl_hasValue BNODE_r uri_foaf_Person))
% 5.93/6.10 (iext uri_rdf_type uri_ex_name uri_ex_PersonAttribute))
% 5.93/6.10 (iext uri_ex_name uri_ex_alice (literal_plain dat_str_alice)))
% 5.93/6.10 True
% 5.93/6.10 Clause #77 (by clausification #[76]): ∀ (a a_1 a_2 a_3 : Iota),
% 5.93/6.10 Eq
% 5.93/6.10 (And
% 5.93/6.10 (And
% 5.93/6.10 (And
% 5.93/6.10 (And
% 5.93/6.10 (And
% 5.93/6.10 (And
% 5.93/6.10 (And
% 5.93/6.10 (And
% 5.93/6.10 (And
% 5.93/6.10 (And
% 5.93/6.10 (And
% 5.93/6.10 (And (iext uri_rdf_type uri_foaf_Person uri_owl_Class)
% 5.93/6.10 (iext uri_owl_intersectionOf uri_ex_PersonAttribute (skS.0 1 a)))
% 5.93/6.10 (iext uri_rdf_first (skS.0 1 a) uri_owl_DatatypeProperty))
% 5.93/6.10 (iext uri_rdf_rest (skS.0 1 a) (skS.0 2 a a_1)))
% 5.93/6.10 (iext uri_rdf_first (skS.0 2 a a_1) uri_owl_FunctionalProperty))
% 5.93/6.10 (iext uri_rdf_rest (skS.0 2 a a_1) (skS.0 3 a a_1 a_2)))
% 5.93/6.10 (iext uri_rdf_first (skS.0 3 a a_1 a_2) (skS.0 4 a a_1 a_2 a_3)))
% 5.93/6.10 (iext uri_rdf_rest (skS.0 3 a a_1 a_2) uri_rdf_nil))
% 5.93/6.10 (iext uri_rdf_type (skS.0 4 a a_1 a_2 a_3) uri_owl_Restriction))
% 5.93/6.10 (iext uri_owl_onProperty (skS.0 4 a a_1 a_2 a_3) uri_rdfs_domain))
% 5.93/6.10 (iext uri_owl_hasValue (skS.0 4 a a_1 a_2 a_3) uri_foaf_Person))
% 5.93/6.10 (iext uri_rdf_type uri_ex_name uri_ex_PersonAttribute))
% 5.93/6.10 (iext uri_ex_name uri_ex_alice (literal_plain dat_str_alice)))
% 5.93/6.10 True
% 5.93/6.10 Clause #78 (by clausification #[77]): Eq (iext uri_ex_name uri_ex_alice (literal_plain dat_str_alice)) True
% 5.93/6.11 Clause #79 (by clausification #[77]): ∀ (a a_1 a_2 a_3 : Iota),
% 5.93/6.11 Eq
% 5.93/6.11 (And
% 5.93/6.11 (And
% 5.93/6.11 (And
% 5.93/6.11 (And
% 5.93/6.11 (And
% 5.93/6.11 (And
% 5.93/6.11 (And
% 5.93/6.11 (And
% 5.93/6.11 (And
% 5.93/6.11 (And
% 5.93/6.11 (And (iext uri_rdf_type uri_foaf_Person uri_owl_Class)
% 5.93/6.11 (iext uri_owl_intersectionOf uri_ex_PersonAttribute (skS.0 1 a)))
% 5.93/6.11 (iext uri_rdf_first (skS.0 1 a) uri_owl_DatatypeProperty))
% 5.93/6.11 (iext uri_rdf_rest (skS.0 1 a) (skS.0 2 a a_1)))
% 5.93/6.11 (iext uri_rdf_first (skS.0 2 a a_1) uri_owl_FunctionalProperty))
% 5.93/6.11 (iext uri_rdf_rest (skS.0 2 a a_1) (skS.0 3 a a_1 a_2)))
% 5.93/6.11 (iext uri_rdf_first (skS.0 3 a a_1 a_2) (skS.0 4 a a_1 a_2 a_3)))
% 5.93/6.11 (iext uri_rdf_rest (skS.0 3 a a_1 a_2) uri_rdf_nil))
% 5.93/6.11 (iext uri_rdf_type (skS.0 4 a a_1 a_2 a_3) uri_owl_Restriction))
% 5.93/6.11 (iext uri_owl_onProperty (skS.0 4 a a_1 a_2 a_3) uri_rdfs_domain))
% 5.93/6.11 (iext uri_owl_hasValue (skS.0 4 a a_1 a_2 a_3) uri_foaf_Person))
% 5.93/6.11 (iext uri_rdf_type uri_ex_name uri_ex_PersonAttribute))
% 5.93/6.11 True
% 5.93/6.11 Clause #80 (by clausification #[58]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota),
% 5.93/6.11 Or (Eq (iext uri_rdf_rest a uri_rdf_nil) False)
% 5.93/6.11 (Or (Eq (iext uri_owl_intersectionOf a_1 a_2) False)
% 5.93/6.11 (Or (Eq (iext uri_rdf_first a a_3) False)
% 5.93/6.11 (Or (Eq (iext uri_rdf_rest a_4 a) False)
% 5.93/6.11 (Or (Eq (iext uri_rdf_first a_4 a_5) False)
% 5.93/6.11 (Or (Eq (icext a_1 a_6) False)
% 5.93/6.11 (Or (Eq (And (And (icext a_7 a_6) (icext a_5 a_6)) (icext a_3 a_6)) True)
% 5.93/6.11 (Or (Eq (iext uri_rdf_first a_2 a_7) False) (Eq (iext uri_rdf_rest a_2 a_4) False))))))))
% 5.93/6.11 Clause #81 (by clausification #[80]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota),
% 5.93/6.11 Or (Eq (iext uri_rdf_rest a uri_rdf_nil) False)
% 5.93/6.11 (Or (Eq (iext uri_owl_intersectionOf a_1 a_2) False)
% 5.93/6.11 (Or (Eq (iext uri_rdf_first a a_3) False)
% 5.93/6.11 (Or (Eq (iext uri_rdf_rest a_4 a) False)
% 5.93/6.11 (Or (Eq (iext uri_rdf_first a_4 a_5) False)
% 5.93/6.11 (Or (Eq (icext a_1 a_6) False)
% 5.93/6.11 (Or (Eq (iext uri_rdf_first a_2 a_7) False)
% 5.93/6.11 (Or (Eq (iext uri_rdf_rest a_2 a_4) False) (Eq (icext a_3 a_6) True))))))))
% 5.93/6.11 Clause #82 (by clausification #[80]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota),
% 5.93/6.11 Or (Eq (iext uri_rdf_rest a uri_rdf_nil) False)
% 5.93/6.11 (Or (Eq (iext uri_owl_intersectionOf a_1 a_2) False)
% 5.93/6.11 (Or (Eq (iext uri_rdf_first a a_3) False)
% 5.93/6.11 (Or (Eq (iext uri_rdf_rest a_4 a) False)
% 5.93/6.11 (Or (Eq (iext uri_rdf_first a_4 a_5) False)
% 5.93/6.11 (Or (Eq (icext a_1 a_6) False)
% 5.93/6.11 (Or (Eq (iext uri_rdf_first a_2 a_7) False)
% 5.93/6.11 (Or (Eq (iext uri_rdf_rest a_2 a_4) False) (Eq (And (icext a_7 a_6) (icext a_5 a_6)) True))))))))
% 5.93/6.11 Clause #83 (by clausification #[82]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota),
% 5.93/6.11 Or (Eq (iext uri_rdf_rest a uri_rdf_nil) False)
% 5.93/6.11 (Or (Eq (iext uri_owl_intersectionOf a_1 a_2) False)
% 5.93/6.11 (Or (Eq (iext uri_rdf_first a a_3) False)
% 5.93/6.11 (Or (Eq (iext uri_rdf_rest a_4 a) False)
% 5.93/6.11 (Or (Eq (iext uri_rdf_first a_4 a_5) False)
% 5.93/6.11 (Or (Eq (icext a_1 a_6) False)
% 5.93/6.11 (Or (Eq (iext uri_rdf_first a_2 a_7) False)
% 5.93/6.11 (Or (Eq (iext uri_rdf_rest a_2 a_4) False) (Eq (icext a_5 a_6) True))))))))
% 5.93/6.11 Clause #87 (by clausification #[79]): Eq (iext uri_rdf_type uri_ex_name uri_ex_PersonAttribute) True
% 5.93/6.11 Clause #88 (by clausification #[79]): ∀ (a a_1 a_2 a_3 : Iota),
% 5.93/6.11 Eq
% 5.93/6.11 (And
% 5.93/6.11 (And
% 5.93/6.11 (And
% 5.93/6.11 (And
% 5.93/6.11 (And
% 5.93/6.11 (And
% 5.93/6.11 (And
% 5.93/6.11 (And
% 5.93/6.11 (And
% 5.93/6.11 (And (iext uri_rdf_type uri_foaf_Person uri_owl_Class)
% 5.93/6.11 (iext uri_owl_intersectionOf uri_ex_PersonAttribute (skS.0 1 a)))
% 5.93/6.11 (iext uri_rdf_first (skS.0 1 a) uri_owl_DatatypeProperty))
% 5.93/6.11 (iext uri_rdf_rest (skS.0 1 a) (skS.0 2 a a_1)))
% 5.93/6.11 (iext uri_rdf_first (skS.0 2 a a_1) uri_owl_FunctionalProperty))
% 5.93/6.13 (iext uri_rdf_rest (skS.0 2 a a_1) (skS.0 3 a a_1 a_2)))
% 5.93/6.13 (iext uri_rdf_first (skS.0 3 a a_1 a_2) (skS.0 4 a a_1 a_2 a_3)))
% 5.93/6.13 (iext uri_rdf_rest (skS.0 3 a a_1 a_2) uri_rdf_nil))
% 5.93/6.13 (iext uri_rdf_type (skS.0 4 a a_1 a_2 a_3) uri_owl_Restriction))
% 5.93/6.13 (iext uri_owl_onProperty (skS.0 4 a a_1 a_2 a_3) uri_rdfs_domain))
% 5.93/6.13 (iext uri_owl_hasValue (skS.0 4 a a_1 a_2 a_3) uri_foaf_Person))
% 5.93/6.13 True
% 5.93/6.13 Clause #89 (by superposition #[87, 15]): Or (Eq True False) (Eq (icext uri_ex_PersonAttribute uri_ex_name) True)
% 5.93/6.13 Clause #90 (by clausification #[89]): Eq (icext uri_ex_PersonAttribute uri_ex_name) True
% 5.93/6.13 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
% 5.93/6.13 Clause #95 (by clausification #[88]): ∀ (a a_1 a_2 a_3 : Iota),
% 5.93/6.13 Eq
% 5.93/6.13 (And
% 5.93/6.13 (And
% 5.93/6.13 (And
% 5.93/6.13 (And
% 5.93/6.13 (And
% 5.93/6.13 (And
% 5.93/6.13 (And
% 5.93/6.13 (And
% 5.93/6.13 (And (iext uri_rdf_type uri_foaf_Person uri_owl_Class)
% 5.93/6.13 (iext uri_owl_intersectionOf uri_ex_PersonAttribute (skS.0 1 a)))
% 5.93/6.13 (iext uri_rdf_first (skS.0 1 a) uri_owl_DatatypeProperty))
% 5.93/6.13 (iext uri_rdf_rest (skS.0 1 a) (skS.0 2 a a_1)))
% 5.93/6.13 (iext uri_rdf_first (skS.0 2 a a_1) uri_owl_FunctionalProperty))
% 5.93/6.13 (iext uri_rdf_rest (skS.0 2 a a_1) (skS.0 3 a a_1 a_2)))
% 5.93/6.13 (iext uri_rdf_first (skS.0 3 a a_1 a_2) (skS.0 4 a a_1 a_2 a_3)))
% 5.93/6.13 (iext uri_rdf_rest (skS.0 3 a a_1 a_2) uri_rdf_nil))
% 5.93/6.13 (iext uri_rdf_type (skS.0 4 a a_1 a_2 a_3) uri_owl_Restriction))
% 5.93/6.13 (iext uri_owl_onProperty (skS.0 4 a a_1 a_2 a_3) uri_rdfs_domain))
% 5.93/6.13 True
% 5.93/6.13 Clause #97 (by superposition #[94, 25]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 5.93/6.13 Or (Eq True False)
% 5.93/6.13 (Or (Eq (iext uri_owl_onProperty (skS.0 4 a a_1 a_2 a_3) a_4) False)
% 5.93/6.13 (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)))
% 5.93/6.13 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
% 5.93/6.13 Clause #99 (by clausification #[95]): ∀ (a a_1 a_2 a_3 : Iota),
% 5.93/6.13 Eq
% 5.93/6.13 (And
% 5.93/6.13 (And
% 5.93/6.13 (And
% 5.93/6.13 (And
% 5.93/6.13 (And
% 5.93/6.13 (And
% 5.93/6.13 (And
% 5.93/6.13 (And (iext uri_rdf_type uri_foaf_Person uri_owl_Class)
% 5.93/6.13 (iext uri_owl_intersectionOf uri_ex_PersonAttribute (skS.0 1 a)))
% 5.93/6.13 (iext uri_rdf_first (skS.0 1 a) uri_owl_DatatypeProperty))
% 5.93/6.13 (iext uri_rdf_rest (skS.0 1 a) (skS.0 2 a a_1)))
% 5.93/6.13 (iext uri_rdf_first (skS.0 2 a a_1) uri_owl_FunctionalProperty))
% 5.93/6.13 (iext uri_rdf_rest (skS.0 2 a a_1) (skS.0 3 a a_1 a_2)))
% 5.93/6.13 (iext uri_rdf_first (skS.0 3 a a_1 a_2) (skS.0 4 a a_1 a_2 a_3)))
% 5.93/6.13 (iext uri_rdf_rest (skS.0 3 a a_1 a_2) uri_rdf_nil))
% 5.93/6.13 (iext uri_rdf_type (skS.0 4 a a_1 a_2 a_3) uri_owl_Restriction))
% 5.93/6.13 True
% 5.93/6.13 Clause #100 (by clausification #[97]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 5.93/6.13 Or (Eq (iext uri_owl_onProperty (skS.0 4 a a_1 a_2 a_3) a_4) False)
% 5.93/6.13 (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))
% 5.93/6.13 Clause #101 (by superposition #[100, 98]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 5.93/6.13 Or (Eq (icext (skS.0 4 a a_1 a_2 a_3) a_4) False)
% 5.93/6.13 (Or (Eq (iext uri_rdfs_domain a_4 uri_foaf_Person) True) (Eq False True))
% 5.93/6.13 Clause #102 (by clausification #[101]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 5.93/6.13 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)
% 5.93/6.13 Clause #107 (by clausification #[99]): ∀ (a a_1 a_2 a_3 : Iota),
% 5.93/6.13 Eq
% 5.93/6.13 (And
% 5.93/6.13 (And
% 5.93/6.13 (And
% 5.93/6.13 (And
% 5.93/6.13 (And
% 5.93/6.13 (And
% 5.93/6.13 (And (iext uri_rdf_type uri_foaf_Person uri_owl_Class)
% 5.93/6.13 (iext uri_owl_intersectionOf uri_ex_PersonAttribute (skS.0 1 a)))
% 5.93/6.13 (iext uri_rdf_first (skS.0 1 a) uri_owl_DatatypeProperty))
% 5.93/6.13 (iext uri_rdf_rest (skS.0 1 a) (skS.0 2 a a_1)))
% 5.93/6.15 (iext uri_rdf_first (skS.0 2 a a_1) uri_owl_FunctionalProperty))
% 5.93/6.15 (iext uri_rdf_rest (skS.0 2 a a_1) (skS.0 3 a a_1 a_2)))
% 5.93/6.15 (iext uri_rdf_first (skS.0 3 a a_1 a_2) (skS.0 4 a a_1 a_2 a_3)))
% 5.93/6.15 (iext uri_rdf_rest (skS.0 3 a a_1 a_2) uri_rdf_nil))
% 5.93/6.15 True
% 5.93/6.15 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
% 5.93/6.15 Clause #110 (by clausification #[107]): ∀ (a a_1 a_2 a_3 : Iota),
% 5.93/6.15 Eq
% 5.93/6.15 (And
% 5.93/6.15 (And
% 5.93/6.15 (And
% 5.93/6.15 (And
% 5.93/6.15 (And
% 5.93/6.15 (And (iext uri_rdf_type uri_foaf_Person uri_owl_Class)
% 5.93/6.15 (iext uri_owl_intersectionOf uri_ex_PersonAttribute (skS.0 1 a)))
% 5.93/6.15 (iext uri_rdf_first (skS.0 1 a) uri_owl_DatatypeProperty))
% 5.93/6.15 (iext uri_rdf_rest (skS.0 1 a) (skS.0 2 a a_1)))
% 5.93/6.15 (iext uri_rdf_first (skS.0 2 a a_1) uri_owl_FunctionalProperty))
% 5.93/6.15 (iext uri_rdf_rest (skS.0 2 a a_1) (skS.0 3 a a_1 a_2)))
% 5.93/6.15 (iext uri_rdf_first (skS.0 3 a a_1 a_2) (skS.0 4 a a_1 a_2 a_3)))
% 5.93/6.15 True
% 5.93/6.15 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),
% 5.93/6.15 Or (Eq True False)
% 5.93/6.15 (Or (Eq (iext uri_owl_intersectionOf a a_1) False)
% 5.93/6.15 (Or (Eq (iext uri_rdf_first (skS.0 3 a_2 a_3 a_4) a_5) False)
% 5.93/6.15 (Or (Eq (iext uri_rdf_rest a_6 (skS.0 3 a_2 a_3 a_4)) False)
% 5.93/6.15 (Or (Eq (iext uri_rdf_first a_6 a_7) False)
% 5.93/6.15 (Or (Eq (icext a a_8) False)
% 5.93/6.15 (Or (Eq (iext uri_rdf_first a_1 a_9) False)
% 5.93/6.15 (Or (Eq (iext uri_rdf_rest a_1 a_6) False) (Eq (icext a_5 a_8) True))))))))
% 5.93/6.15 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),
% 5.93/6.15 Or (Eq True False)
% 5.93/6.15 (Or (Eq (iext uri_owl_intersectionOf a a_1) False)
% 5.93/6.15 (Or (Eq (iext uri_rdf_first (skS.0 3 a_2 a_3 a_4) a_5) False)
% 5.93/6.15 (Or (Eq (iext uri_rdf_rest a_6 (skS.0 3 a_2 a_3 a_4)) False)
% 5.93/6.15 (Or (Eq (iext uri_rdf_first a_6 a_7) False)
% 5.93/6.15 (Or (Eq (icext a a_8) False)
% 5.93/6.15 (Or (Eq (iext uri_rdf_first a_1 a_9) False)
% 5.93/6.15 (Or (Eq (iext uri_rdf_rest a_1 a_6) False) (Eq (icext a_7 a_8) True))))))))
% 5.93/6.15 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
% 5.93/6.15 Clause #129 (by clausification #[110]): ∀ (a a_1 a_2 : Iota),
% 5.93/6.15 Eq
% 5.93/6.15 (And
% 5.93/6.15 (And
% 5.93/6.15 (And
% 5.93/6.15 (And
% 5.93/6.15 (And (iext uri_rdf_type uri_foaf_Person uri_owl_Class)
% 5.93/6.15 (iext uri_owl_intersectionOf uri_ex_PersonAttribute (skS.0 1 a)))
% 5.93/6.15 (iext uri_rdf_first (skS.0 1 a) uri_owl_DatatypeProperty))
% 5.93/6.15 (iext uri_rdf_rest (skS.0 1 a) (skS.0 2 a a_1)))
% 5.93/6.15 (iext uri_rdf_first (skS.0 2 a a_1) uri_owl_FunctionalProperty))
% 5.93/6.15 (iext uri_rdf_rest (skS.0 2 a a_1) (skS.0 3 a a_1 a_2)))
% 5.93/6.15 True
% 5.93/6.15 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),
% 5.93/6.15 Or (Eq (iext uri_owl_intersectionOf a a_1) False)
% 5.93/6.15 (Or (Eq (iext uri_rdf_first (skS.0 3 a_2 a_3 a_4) a_5) False)
% 5.93/6.15 (Or (Eq (iext uri_rdf_rest a_6 (skS.0 3 a_2 a_3 a_4)) False)
% 5.93/6.15 (Or (Eq (iext uri_rdf_first a_6 a_7) False)
% 5.93/6.15 (Or (Eq (icext a a_8) False)
% 5.93/6.15 (Or (Eq (iext uri_rdf_first a_1 a_9) False)
% 5.93/6.15 (Or (Eq (iext uri_rdf_rest a_1 a_6) False) (Eq (icext a_5 a_8) True)))))))
% 5.93/6.15 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),
% 5.93/6.15 Or (Eq (iext uri_owl_intersectionOf a a_1) False)
% 5.93/6.15 (Or (Eq (iext uri_rdf_first (skS.0 3 a_2 a_3 a_4) a_5) False)
% 5.93/6.15 (Or (Eq (iext uri_rdf_rest a_6 (skS.0 3 a_2 a_3 a_4)) False)
% 5.93/6.15 (Or (Eq (iext uri_rdf_first a_6 a_7) False)
% 5.93/6.15 (Or (Eq (icext a a_8) False)
% 5.93/6.15 (Or (Eq (iext uri_rdf_first a_1 a_9) False)
% 5.93/6.15 (Or (Eq (iext uri_rdf_rest a_1 a_6) False) (Eq (icext a_7 a_8) True)))))))
% 5.93/6.15 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
% 5.93/6.15 Clause #138 (by clausification #[129]): ∀ (a a_1 : Iota),
% 5.93/6.15 Eq
% 5.93/6.15 (And
% 5.93/6.15 (And
% 5.93/6.15 (And
% 5.93/6.17 (And (iext uri_rdf_type uri_foaf_Person uri_owl_Class)
% 5.93/6.17 (iext uri_owl_intersectionOf uri_ex_PersonAttribute (skS.0 1 a)))
% 5.93/6.17 (iext uri_rdf_first (skS.0 1 a) uri_owl_DatatypeProperty))
% 5.93/6.17 (iext uri_rdf_rest (skS.0 1 a) (skS.0 2 a a_1)))
% 5.93/6.17 (iext uri_rdf_first (skS.0 2 a a_1) uri_owl_FunctionalProperty))
% 5.93/6.17 True
% 5.93/6.17 Clause #139 (by clausification #[138]): ∀ (a a_1 : Iota), Eq (iext uri_rdf_first (skS.0 2 a a_1) uri_owl_FunctionalProperty) True
% 5.93/6.17 Clause #140 (by clausification #[138]): ∀ (a a_1 : Iota),
% 5.93/6.17 Eq
% 5.93/6.17 (And
% 5.93/6.17 (And
% 5.93/6.17 (And (iext uri_rdf_type uri_foaf_Person uri_owl_Class)
% 5.93/6.17 (iext uri_owl_intersectionOf uri_ex_PersonAttribute (skS.0 1 a)))
% 5.93/6.17 (iext uri_rdf_first (skS.0 1 a) uri_owl_DatatypeProperty))
% 5.93/6.17 (iext uri_rdf_rest (skS.0 1 a) (skS.0 2 a a_1)))
% 5.93/6.17 True
% 5.93/6.17 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
% 5.93/6.17 Clause #142 (by clausification #[140]): ∀ (a : Iota),
% 5.93/6.17 Eq
% 5.93/6.17 (And
% 5.93/6.17 (And (iext uri_rdf_type uri_foaf_Person uri_owl_Class)
% 5.93/6.17 (iext uri_owl_intersectionOf uri_ex_PersonAttribute (skS.0 1 a)))
% 5.93/6.17 (iext uri_rdf_first (skS.0 1 a) uri_owl_DatatypeProperty))
% 5.93/6.17 True
% 5.93/6.17 Clause #143 (by clausification #[142]): ∀ (a : Iota), Eq (iext uri_rdf_first (skS.0 1 a) uri_owl_DatatypeProperty) True
% 5.93/6.17 Clause #144 (by clausification #[142]): ∀ (a : Iota),
% 5.93/6.17 Eq
% 5.93/6.17 (And (iext uri_rdf_type uri_foaf_Person uri_owl_Class)
% 5.93/6.17 (iext uri_owl_intersectionOf uri_ex_PersonAttribute (skS.0 1 a)))
% 5.93/6.17 True
% 5.93/6.17 Clause #145 (by clausification #[144]): ∀ (a : Iota), Eq (iext uri_owl_intersectionOf uri_ex_PersonAttribute (skS.0 1 a)) True
% 5.93/6.17 Clause #151 (by superposition #[145, 131]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 : Iota),
% 5.93/6.17 Or (Eq True False)
% 5.93/6.17 (Or (Eq (iext uri_rdf_first (skS.0 3 a a_1 a_2) a_3) False)
% 5.93/6.17 (Or (Eq (iext uri_rdf_rest a_4 (skS.0 3 a a_1 a_2)) False)
% 5.93/6.17 (Or (Eq (iext uri_rdf_first a_4 a_5) False)
% 5.93/6.17 (Or (Eq (icext uri_ex_PersonAttribute a_6) False)
% 5.93/6.17 (Or (Eq (iext uri_rdf_first (skS.0 1 a_7) a_8) False)
% 5.93/6.17 (Or (Eq (iext uri_rdf_rest (skS.0 1 a_7) a_4) False) (Eq (icext a_3 a_6) True)))))))
% 5.93/6.17 Clause #153 (by superposition #[145, 133]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 : Iota),
% 5.93/6.17 Or (Eq True False)
% 5.93/6.17 (Or (Eq (iext uri_rdf_first (skS.0 3 a a_1 a_2) a_3) False)
% 5.93/6.17 (Or (Eq (iext uri_rdf_rest a_4 (skS.0 3 a a_1 a_2)) False)
% 5.93/6.17 (Or (Eq (iext uri_rdf_first a_4 a_5) False)
% 5.93/6.17 (Or (Eq (icext uri_ex_PersonAttribute a_6) False)
% 5.93/6.17 (Or (Eq (iext uri_rdf_first (skS.0 1 a_7) a_8) False)
% 5.93/6.17 (Or (Eq (iext uri_rdf_rest (skS.0 1 a_7) a_4) False) (Eq (icext a_5 a_6) True)))))))
% 5.93/6.17 Clause #206 (by clausification #[151]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 : Iota),
% 5.93/6.17 Or (Eq (iext uri_rdf_first (skS.0 3 a a_1 a_2) a_3) False)
% 5.93/6.17 (Or (Eq (iext uri_rdf_rest a_4 (skS.0 3 a a_1 a_2)) False)
% 5.93/6.17 (Or (Eq (iext uri_rdf_first a_4 a_5) False)
% 5.93/6.17 (Or (Eq (icext uri_ex_PersonAttribute a_6) False)
% 5.93/6.17 (Or (Eq (iext uri_rdf_first (skS.0 1 a_7) a_8) False)
% 5.93/6.17 (Or (Eq (iext uri_rdf_rest (skS.0 1 a_7) a_4) False) (Eq (icext a_3 a_6) True))))))
% 5.93/6.17 Clause #207 (by superposition #[206, 128]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 : Iota),
% 5.93/6.17 Or (Eq (iext uri_rdf_rest a (skS.0 3 a_1 a_2 a_3)) False)
% 5.93/6.17 (Or (Eq (iext uri_rdf_first a a_4) False)
% 5.93/6.17 (Or (Eq (icext uri_ex_PersonAttribute a_5) False)
% 5.93/6.17 (Or (Eq (iext uri_rdf_first (skS.0 1 a_6) a_7) False)
% 5.93/6.17 (Or (Eq (iext uri_rdf_rest (skS.0 1 a_6) a) False)
% 5.93/6.17 (Or (Eq (icext (skS.0 4 a_1 a_2 a_3 a_8) a_5) True) (Eq False True))))))
% 5.93/6.17 Clause #216 (by clausification #[207]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 : Iota),
% 5.93/6.17 Or (Eq (iext uri_rdf_rest a (skS.0 3 a_1 a_2 a_3)) False)
% 5.93/6.17 (Or (Eq (iext uri_rdf_first a a_4) False)
% 5.93/6.17 (Or (Eq (icext uri_ex_PersonAttribute a_5) False)
% 5.93/6.17 (Or (Eq (iext uri_rdf_first (skS.0 1 a_6) a_7) False)
% 5.93/6.17 (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)))))
% 6.02/6.19 Clause #217 (by superposition #[216, 137]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota),
% 6.02/6.19 Or (Eq (iext uri_rdf_first (skS.0 2 a a_1) a_2) False)
% 6.02/6.19 (Or (Eq (icext uri_ex_PersonAttribute a_3) False)
% 6.02/6.19 (Or (Eq (iext uri_rdf_first (skS.0 1 a_4) a_5) False)
% 6.02/6.19 (Or (Eq (iext uri_rdf_rest (skS.0 1 a_4) (skS.0 2 a a_1)) False)
% 6.02/6.19 (Or (Eq (icext (skS.0 4 a a_1 a_6 a_7) a_3) True) (Eq False True)))))
% 6.02/6.19 Clause #230 (by clausification #[153]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 : Iota),
% 6.02/6.19 Or (Eq (iext uri_rdf_first (skS.0 3 a a_1 a_2) a_3) False)
% 6.02/6.19 (Or (Eq (iext uri_rdf_rest a_4 (skS.0 3 a a_1 a_2)) False)
% 6.02/6.19 (Or (Eq (iext uri_rdf_first a_4 a_5) False)
% 6.02/6.19 (Or (Eq (icext uri_ex_PersonAttribute a_6) False)
% 6.02/6.19 (Or (Eq (iext uri_rdf_first (skS.0 1 a_7) a_8) False)
% 6.02/6.19 (Or (Eq (iext uri_rdf_rest (skS.0 1 a_7) a_4) False) (Eq (icext a_5 a_6) True))))))
% 6.02/6.19 Clause #231 (by superposition #[230, 128]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota),
% 6.02/6.19 Or (Eq (iext uri_rdf_rest a (skS.0 3 a_1 a_2 a_3)) False)
% 6.02/6.19 (Or (Eq (iext uri_rdf_first a a_4) False)
% 6.02/6.19 (Or (Eq (icext uri_ex_PersonAttribute a_5) False)
% 6.02/6.19 (Or (Eq (iext uri_rdf_first (skS.0 1 a_6) a_7) False)
% 6.02/6.19 (Or (Eq (iext uri_rdf_rest (skS.0 1 a_6) a) False) (Or (Eq (icext a_4 a_5) True) (Eq False True))))))
% 6.02/6.19 Clause #236 (by clausification #[231]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota),
% 6.02/6.19 Or (Eq (iext uri_rdf_rest a (skS.0 3 a_1 a_2 a_3)) False)
% 6.02/6.19 (Or (Eq (iext uri_rdf_first a a_4) False)
% 6.02/6.19 (Or (Eq (icext uri_ex_PersonAttribute a_5) False)
% 6.02/6.19 (Or (Eq (iext uri_rdf_first (skS.0 1 a_6) a_7) False)
% 6.02/6.19 (Or (Eq (iext uri_rdf_rest (skS.0 1 a_6) a) False) (Eq (icext a_4 a_5) True)))))
% 6.02/6.19 Clause #237 (by superposition #[236, 137]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 6.02/6.19 Or (Eq (iext uri_rdf_first (skS.0 2 a a_1) a_2) False)
% 6.02/6.19 (Or (Eq (icext uri_ex_PersonAttribute a_3) False)
% 6.02/6.19 (Or (Eq (iext uri_rdf_first (skS.0 1 a_4) a_5) False)
% 6.02/6.19 (Or (Eq (iext uri_rdf_rest (skS.0 1 a_4) (skS.0 2 a a_1)) False)
% 6.02/6.19 (Or (Eq (icext a_2 a_3) True) (Eq False True)))))
% 6.02/6.19 Clause #238 (by clausification #[237]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 6.02/6.19 Or (Eq (iext uri_rdf_first (skS.0 2 a a_1) a_2) False)
% 6.02/6.19 (Or (Eq (icext uri_ex_PersonAttribute a_3) False)
% 6.02/6.19 (Or (Eq (iext uri_rdf_first (skS.0 1 a_4) a_5) False)
% 6.02/6.19 (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))))
% 6.02/6.19 Clause #239 (by superposition #[238, 139]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 6.02/6.19 Or (Eq (icext uri_ex_PersonAttribute a) False)
% 6.02/6.19 (Or (Eq (iext uri_rdf_first (skS.0 1 a_1) a_2) False)
% 6.02/6.19 (Or (Eq (iext uri_rdf_rest (skS.0 1 a_1) (skS.0 2 a_3 a_4)) False)
% 6.02/6.19 (Or (Eq (icext uri_owl_FunctionalProperty a) True) (Eq False True))))
% 6.02/6.19 Clause #242 (by clausification #[239]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 6.02/6.19 Or (Eq (icext uri_ex_PersonAttribute a) False)
% 6.02/6.19 (Or (Eq (iext uri_rdf_first (skS.0 1 a_1) a_2) False)
% 6.02/6.19 (Or (Eq (iext uri_rdf_rest (skS.0 1 a_1) (skS.0 2 a_3 a_4)) False)
% 6.02/6.19 (Eq (icext uri_owl_FunctionalProperty a) True)))
% 6.02/6.19 Clause #243 (by superposition #[242, 90]): ∀ (a a_1 a_2 a_3 : Iota),
% 6.02/6.19 Or (Eq (iext uri_rdf_first (skS.0 1 a) a_1) False)
% 6.02/6.19 (Or (Eq (iext uri_rdf_rest (skS.0 1 a) (skS.0 2 a_2 a_3)) False)
% 6.02/6.19 (Or (Eq (icext uri_owl_FunctionalProperty uri_ex_name) True) (Eq False True)))
% 6.02/6.19 Clause #244 (by clausification #[243]): ∀ (a a_1 a_2 a_3 : Iota),
% 6.02/6.19 Or (Eq (iext uri_rdf_first (skS.0 1 a) a_1) False)
% 6.02/6.19 (Or (Eq (iext uri_rdf_rest (skS.0 1 a) (skS.0 2 a_2 a_3)) False)
% 6.02/6.19 (Eq (icext uri_owl_FunctionalProperty uri_ex_name) True))
% 6.02/6.19 Clause #245 (by superposition #[244, 143]): ∀ (a a_1 a_2 : Iota),
% 6.02/6.19 Or (Eq (iext uri_rdf_rest (skS.0 1 a) (skS.0 2 a_1 a_2)) False)
% 6.02/6.19 (Or (Eq (icext uri_owl_FunctionalProperty uri_ex_name) True) (Eq False True))
% 6.02/6.19 Clause #246 (by clausification #[245]): ∀ (a a_1 a_2 : Iota),
% 6.02/6.19 Or (Eq (iext uri_rdf_rest (skS.0 1 a) (skS.0 2 a_1 a_2)) False)
% 6.02/6.19 (Eq (icext uri_owl_FunctionalProperty uri_ex_name) True)
% 6.02/6.19 Clause #247 (by superposition #[246, 141]): Or (Eq (icext uri_owl_FunctionalProperty uri_ex_name) True) (Eq False True)
% 6.03/6.21 Clause #248 (by clausification #[247]): Eq (icext uri_owl_FunctionalProperty uri_ex_name) True
% 6.03/6.21 Clause #249 (by superposition #[248, 14]): Or (Eq (iext uri_rdf_type uri_ex_name uri_owl_FunctionalProperty) True) (Eq True False)
% 6.03/6.21 Clause #250 (by clausification #[249]): Eq (iext uri_rdf_type uri_ex_name uri_owl_FunctionalProperty) True
% 6.03/6.21 Clause #251 (by backward demodulation #[250, 17]): Or (Eq True False) (Eq (iext uri_rdf_type uri_ex_alice uri_foaf_Person) False)
% 6.03/6.21 Clause #257 (by clausification #[251]): Eq (iext uri_rdf_type uri_ex_alice uri_foaf_Person) False
% 6.03/6.21 Clause #258 (by clausification #[217]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota),
% 6.03/6.21 Or (Eq (iext uri_rdf_first (skS.0 2 a a_1) a_2) False)
% 6.03/6.21 (Or (Eq (icext uri_ex_PersonAttribute a_3) False)
% 6.03/6.21 (Or (Eq (iext uri_rdf_first (skS.0 1 a_4) a_5) False)
% 6.03/6.21 (Or (Eq (iext uri_rdf_rest (skS.0 1 a_4) (skS.0 2 a a_1)) False)
% 6.03/6.21 (Eq (icext (skS.0 4 a a_1 a_6 a_7) a_3) True))))
% 6.03/6.21 Clause #259 (by superposition #[258, 139]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota),
% 6.03/6.21 Or (Eq (icext uri_ex_PersonAttribute a) False)
% 6.03/6.21 (Or (Eq (iext uri_rdf_first (skS.0 1 a_1) a_2) False)
% 6.03/6.21 (Or (Eq (iext uri_rdf_rest (skS.0 1 a_1) (skS.0 2 a_3 a_4)) False)
% 6.03/6.21 (Or (Eq (icext (skS.0 4 a_3 a_4 a_5 a_6) a) True) (Eq False True))))
% 6.03/6.21 Clause #260 (by clausification #[259]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota),
% 6.03/6.21 Or (Eq (icext uri_ex_PersonAttribute a) False)
% 6.03/6.21 (Or (Eq (iext uri_rdf_first (skS.0 1 a_1) a_2) False)
% 6.03/6.21 (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)))
% 6.03/6.21 Clause #261 (by superposition #[260, 90]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 6.03/6.21 Or (Eq (iext uri_rdf_first (skS.0 1 a) a_1) False)
% 6.03/6.21 (Or (Eq (iext uri_rdf_rest (skS.0 1 a) (skS.0 2 a_2 a_3)) False)
% 6.03/6.21 (Or (Eq (icext (skS.0 4 a_2 a_3 a_4 a_5) uri_ex_name) True) (Eq False True)))
% 6.03/6.21 Clause #262 (by clausification #[261]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 6.03/6.21 Or (Eq (iext uri_rdf_first (skS.0 1 a) a_1) False)
% 6.03/6.21 (Or (Eq (iext uri_rdf_rest (skS.0 1 a) (skS.0 2 a_2 a_3)) False)
% 6.03/6.21 (Eq (icext (skS.0 4 a_2 a_3 a_4 a_5) uri_ex_name) True))
% 6.03/6.21 Clause #263 (by superposition #[262, 143]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 6.03/6.21 Or (Eq (iext uri_rdf_rest (skS.0 1 a) (skS.0 2 a_1 a_2)) False)
% 6.03/6.21 (Or (Eq (icext (skS.0 4 a_1 a_2 a_3 a_4) uri_ex_name) True) (Eq False True))
% 6.03/6.21 Clause #268 (by clausification #[263]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 6.03/6.21 Or (Eq (iext uri_rdf_rest (skS.0 1 a) (skS.0 2 a_1 a_2)) False)
% 6.03/6.21 (Eq (icext (skS.0 4 a_1 a_2 a_3 a_4) uri_ex_name) True)
% 6.03/6.21 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)
% 6.03/6.21 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
% 6.03/6.21 Clause #271 (by superposition #[270, 102]): Or (Eq True False) (Eq (iext uri_rdfs_domain uri_ex_name uri_foaf_Person) True)
% 6.03/6.21 Clause #273 (by clausification #[271]): Eq (iext uri_rdfs_domain uri_ex_name uri_foaf_Person) True
% 6.03/6.21 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))
% 6.03/6.21 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)
% 6.03/6.21 Clause #277 (by superposition #[276, 78]): Or (Eq (icext uri_foaf_Person uri_ex_alice) True) (Eq False True)
% 6.03/6.21 Clause #278 (by clausification #[277]): Eq (icext uri_foaf_Person uri_ex_alice) True
% 6.03/6.21 Clause #279 (by superposition #[278, 14]): Or (Eq (iext uri_rdf_type uri_ex_alice uri_foaf_Person) True) (Eq True False)
% 6.03/6.21 Clause #284 (by clausification #[279]): Eq (iext uri_rdf_type uri_ex_alice uri_foaf_Person) True
% 6.03/6.21 Clause #285 (by superposition #[284, 257]): Eq True False
% 6.03/6.21 Clause #287 (by clausification #[285]): False
% 6.03/6.21 SZS output end Proof for theBenchmark.p
%------------------------------------------------------------------------------