TSTP Solution File: SWB024+2 by Duper---1.0
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%------------------------------------------------------------------------------
% File : Duper---1.0
% Problem : SWB024+2 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n024.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 20:04:06 EDT 2023
% Result : Theorem 3.89s 4.04s
% Output : Proof 3.92s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWB024+2 : TPTP v8.1.2. Released v5.2.0.
% 0.07/0.14 % Command : duper %s
% 0.15/0.36 % Computer : n024.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Sun Aug 27 06:19:23 EDT 2023
% 0.15/0.36 % CPUTime :
% 3.89/4.04 SZS status Theorem for theBenchmark.p
% 3.89/4.04 SZS output start Proof for theBenchmark.p
% 3.89/4.04 Clause #0 (by assumption #[]): Eq (∀ (X C : Iota), Iff (iext uri_rdf_type X C) (icext C X)) True
% 3.89/4.04 Clause #1 (by assumption #[]): Eq
% 3.89/4.04 (∀ (Z P : Iota),
% 3.89/4.04 And (iext uri_owl_minCardinality Z (literal_typed dat_str_1 uri_xsd_nonNegativeInteger))
% 3.89/4.04 (iext uri_owl_onProperty Z P) →
% 3.89/4.04 ∀ (X : Iota), Iff (icext Z X) (Exists fun Y => iext P X Y))
% 3.89/4.04 True
% 3.89/4.04 Clause #2 (by assumption #[]): Eq
% 3.89/4.04 (∀ (C1 C2 : Iota),
% 3.89/4.04 Iff (iext uri_rdfs_subClassOf C1 C2) (And (And (ic C1) (ic C2)) (∀ (X : Iota), icext C1 X → icext C2 X)))
% 3.89/4.04 True
% 3.89/4.04 Clause #3 (by assumption #[]): Eq
% 3.89/4.04 (∀ (P : Iota),
% 3.89/4.04 Iff (icext uri_owl_TransitiveProperty P)
% 3.89/4.04 (And (ip P) (∀ (X Y Z : Iota), And (iext P X Y) (iext P Y Z) → iext P X Z)))
% 3.89/4.04 True
% 3.89/4.04 Clause #4 (by assumption #[]): Eq
% 3.89/4.04 (Not
% 3.89/4.04 (Exists fun BNODE_x =>
% 3.89/4.04 And (iext uri_ex_hasAncestor uri_ex_bob BNODE_x) (iext uri_ex_hasAncestor uri_ex_alice BNODE_x)))
% 3.89/4.04 True
% 3.89/4.04 Clause #5 (by assumption #[]): Eq
% 3.89/4.04 (Exists fun BNODE_z =>
% 3.89/4.04 And
% 3.89/4.04 (And
% 3.89/4.04 (And
% 3.89/4.04 (And
% 3.89/4.04 (And
% 3.89/4.04 (And
% 3.89/4.04 (And (iext uri_rdf_type uri_ex_hasAncestor uri_owl_TransitiveProperty)
% 3.89/4.04 (iext uri_rdfs_subClassOf uri_ex_Person BNODE_z))
% 3.89/4.04 (iext uri_rdf_type BNODE_z uri_owl_Restriction))
% 3.89/4.04 (iext uri_owl_onProperty BNODE_z uri_ex_hasAncestor))
% 3.89/4.04 (iext uri_owl_minCardinality BNODE_z (literal_typed dat_str_1 uri_xsd_nonNegativeInteger)))
% 3.89/4.04 (iext uri_rdf_type uri_ex_alice uri_ex_Person))
% 3.89/4.04 (iext uri_rdf_type uri_ex_bob uri_ex_Person))
% 3.89/4.04 (iext uri_ex_hasAncestor uri_ex_alice uri_ex_bob))
% 3.89/4.04 True
% 3.89/4.04 Clause #6 (by clausification #[0]): ∀ (a : Iota), Eq (∀ (C : Iota), Iff (iext uri_rdf_type a C) (icext C a)) True
% 3.89/4.04 Clause #7 (by clausification #[6]): ∀ (a a_1 : Iota), Eq (Iff (iext uri_rdf_type a a_1) (icext a_1 a)) True
% 3.89/4.04 Clause #9 (by clausification #[7]): ∀ (a a_1 : Iota), Or (Eq (iext uri_rdf_type a a_1) False) (Eq (icext a_1 a) True)
% 3.89/4.04 Clause #10 (by clausification #[4]): Eq
% 3.89/4.04 (Exists fun BNODE_x =>
% 3.89/4.04 And (iext uri_ex_hasAncestor uri_ex_bob BNODE_x) (iext uri_ex_hasAncestor uri_ex_alice BNODE_x))
% 3.89/4.04 False
% 3.89/4.04 Clause #11 (by clausification #[10]): ∀ (a : Iota), Eq (And (iext uri_ex_hasAncestor uri_ex_bob a) (iext uri_ex_hasAncestor uri_ex_alice a)) False
% 3.89/4.04 Clause #12 (by clausification #[11]): ∀ (a : Iota), Or (Eq (iext uri_ex_hasAncestor uri_ex_bob a) False) (Eq (iext uri_ex_hasAncestor uri_ex_alice a) False)
% 3.89/4.04 Clause #13 (by betaEtaReduce #[1]): Eq
% 3.89/4.04 (∀ (Z P : Iota),
% 3.89/4.04 And (iext uri_owl_minCardinality Z (literal_typed dat_str_1 uri_xsd_nonNegativeInteger))
% 3.89/4.04 (iext uri_owl_onProperty Z P) →
% 3.89/4.04 ∀ (X : Iota), Iff (icext Z X) (Exists (iext P X)))
% 3.89/4.04 True
% 3.89/4.04 Clause #14 (by clausification #[13]): ∀ (a : Iota),
% 3.89/4.04 Eq
% 3.89/4.04 (∀ (P : Iota),
% 3.89/4.04 And (iext uri_owl_minCardinality a (literal_typed dat_str_1 uri_xsd_nonNegativeInteger))
% 3.89/4.04 (iext uri_owl_onProperty a P) →
% 3.89/4.04 ∀ (X : Iota), Iff (icext a X) (Exists (iext P X)))
% 3.89/4.04 True
% 3.89/4.04 Clause #15 (by clausification #[14]): ∀ (a a_1 : Iota),
% 3.89/4.04 Eq
% 3.89/4.04 (And (iext uri_owl_minCardinality a (literal_typed dat_str_1 uri_xsd_nonNegativeInteger))
% 3.89/4.04 (iext uri_owl_onProperty a a_1) →
% 3.89/4.04 ∀ (X : Iota), Iff (icext a X) (Exists (iext a_1 X)))
% 3.89/4.04 True
% 3.89/4.04 Clause #16 (by clausification #[15]): ∀ (a a_1 : Iota),
% 3.89/4.04 Or
% 3.89/4.04 (Eq
% 3.89/4.04 (And (iext uri_owl_minCardinality a (literal_typed dat_str_1 uri_xsd_nonNegativeInteger))
% 3.89/4.04 (iext uri_owl_onProperty a a_1))
% 3.89/4.04 False)
% 3.89/4.04 (Eq (∀ (X : Iota), Iff (icext a X) (Exists (iext a_1 X))) True)
% 3.89/4.04 Clause #17 (by clausification #[16]): ∀ (a a_1 : Iota),
% 3.89/4.04 Or (Eq (∀ (X : Iota), Iff (icext a X) (Exists (iext a_1 X))) True)
% 3.89/4.04 (Or (Eq (iext uri_owl_minCardinality a (literal_typed dat_str_1 uri_xsd_nonNegativeInteger)) False)
% 3.89/4.04 (Eq (iext uri_owl_onProperty a a_1) False))
% 3.89/4.04 Clause #18 (by clausification #[17]): ∀ (a a_1 a_2 : Iota),
% 3.89/4.04 Or (Eq (iext uri_owl_minCardinality a (literal_typed dat_str_1 uri_xsd_nonNegativeInteger)) False)
% 3.89/4.04 (Or (Eq (iext uri_owl_onProperty a a_1) False) (Eq (Iff (icext a a_2) (Exists (iext a_1 a_2))) True))
% 3.89/4.06 Clause #20 (by clausification #[18]): ∀ (a a_1 a_2 : Iota),
% 3.89/4.06 Or (Eq (iext uri_owl_minCardinality a (literal_typed dat_str_1 uri_xsd_nonNegativeInteger)) False)
% 3.89/4.06 (Or (Eq (iext uri_owl_onProperty a a_1) False) (Or (Eq (icext a a_2) False) (Eq (Exists (iext a_1 a_2)) True)))
% 3.89/4.06 Clause #22 (by clausification #[3]): ∀ (a : Iota),
% 3.89/4.06 Eq
% 3.89/4.06 (Iff (icext uri_owl_TransitiveProperty a)
% 3.89/4.06 (And (ip a) (∀ (X Y Z : Iota), And (iext a X Y) (iext a Y Z) → iext a X Z)))
% 3.89/4.06 True
% 3.89/4.06 Clause #24 (by clausification #[22]): ∀ (a : Iota),
% 3.89/4.06 Or (Eq (icext uri_owl_TransitiveProperty a) False)
% 3.89/4.06 (Eq (And (ip a) (∀ (X Y Z : Iota), And (iext a X Y) (iext a Y Z) → iext a X Z)) True)
% 3.89/4.06 Clause #36 (by clausification #[2]): ∀ (a : Iota),
% 3.89/4.06 Eq
% 3.89/4.06 (∀ (C2 : Iota),
% 3.89/4.06 Iff (iext uri_rdfs_subClassOf a C2) (And (And (ic a) (ic C2)) (∀ (X : Iota), icext a X → icext C2 X)))
% 3.89/4.06 True
% 3.89/4.06 Clause #37 (by clausification #[36]): ∀ (a a_1 : Iota),
% 3.89/4.06 Eq (Iff (iext uri_rdfs_subClassOf a a_1) (And (And (ic a) (ic a_1)) (∀ (X : Iota), icext a X → icext a_1 X))) True
% 3.89/4.06 Clause #39 (by clausification #[37]): ∀ (a a_1 : Iota),
% 3.89/4.06 Or (Eq (iext uri_rdfs_subClassOf a a_1) False)
% 3.89/4.06 (Eq (And (And (ic a) (ic a_1)) (∀ (X : Iota), icext a X → icext a_1 X)) True)
% 3.89/4.06 Clause #46 (by clausification #[24]): ∀ (a : Iota),
% 3.89/4.06 Or (Eq (icext uri_owl_TransitiveProperty a) False)
% 3.89/4.06 (Eq (∀ (X Y Z : Iota), And (iext a X Y) (iext a Y Z) → iext a X Z) True)
% 3.89/4.06 Clause #48 (by clausification #[46]): ∀ (a a_1 : Iota),
% 3.89/4.06 Or (Eq (icext uri_owl_TransitiveProperty a) False)
% 3.89/4.06 (Eq (∀ (Y Z : Iota), And (iext a a_1 Y) (iext a Y Z) → iext a a_1 Z) True)
% 3.89/4.06 Clause #49 (by clausification #[48]): ∀ (a a_1 a_2 : Iota),
% 3.89/4.06 Or (Eq (icext uri_owl_TransitiveProperty a) False)
% 3.89/4.06 (Eq (∀ (Z : Iota), And (iext a a_1 a_2) (iext a a_2 Z) → iext a a_1 Z) True)
% 3.89/4.06 Clause #50 (by clausification #[49]): ∀ (a a_1 a_2 a_3 : Iota),
% 3.89/4.06 Or (Eq (icext uri_owl_TransitiveProperty a) False) (Eq (And (iext a a_1 a_2) (iext a a_2 a_3) → iext a a_1 a_3) True)
% 3.89/4.06 Clause #51 (by clausification #[50]): ∀ (a a_1 a_2 a_3 : Iota),
% 3.89/4.06 Or (Eq (icext uri_owl_TransitiveProperty a) False)
% 3.89/4.06 (Or (Eq (And (iext a a_1 a_2) (iext a a_2 a_3)) False) (Eq (iext a a_1 a_3) True))
% 3.89/4.06 Clause #52 (by clausification #[51]): ∀ (a a_1 a_2 a_3 : Iota),
% 3.89/4.06 Or (Eq (icext uri_owl_TransitiveProperty a) False)
% 3.89/4.06 (Or (Eq (iext a a_1 a_2) True) (Or (Eq (iext a a_1 a_3) False) (Eq (iext a a_3 a_2) False)))
% 3.89/4.06 Clause #53 (by clausification #[39]): ∀ (a a_1 : Iota), Or (Eq (iext uri_rdfs_subClassOf a a_1) False) (Eq (∀ (X : Iota), icext a X → icext a_1 X) True)
% 3.89/4.06 Clause #55 (by clausification #[53]): ∀ (a a_1 a_2 : Iota), Or (Eq (iext uri_rdfs_subClassOf a a_1) False) (Eq (icext a a_2 → icext a_1 a_2) True)
% 3.89/4.06 Clause #56 (by clausification #[55]): ∀ (a a_1 a_2 : Iota),
% 3.89/4.06 Or (Eq (iext uri_rdfs_subClassOf a a_1) False) (Or (Eq (icext a a_2) False) (Eq (icext a_1 a_2) True))
% 3.89/4.06 Clause #59 (by clausification #[5]): ∀ (a : Iota),
% 3.89/4.06 Eq
% 3.89/4.06 (And
% 3.89/4.06 (And
% 3.89/4.06 (And
% 3.89/4.06 (And
% 3.89/4.06 (And
% 3.89/4.06 (And
% 3.89/4.06 (And (iext uri_rdf_type uri_ex_hasAncestor uri_owl_TransitiveProperty)
% 3.89/4.06 (iext uri_rdfs_subClassOf uri_ex_Person (skS.0 4 a)))
% 3.89/4.06 (iext uri_rdf_type (skS.0 4 a) uri_owl_Restriction))
% 3.89/4.06 (iext uri_owl_onProperty (skS.0 4 a) uri_ex_hasAncestor))
% 3.89/4.06 (iext uri_owl_minCardinality (skS.0 4 a) (literal_typed dat_str_1 uri_xsd_nonNegativeInteger)))
% 3.89/4.06 (iext uri_rdf_type uri_ex_alice uri_ex_Person))
% 3.89/4.06 (iext uri_rdf_type uri_ex_bob uri_ex_Person))
% 3.89/4.06 (iext uri_ex_hasAncestor uri_ex_alice uri_ex_bob))
% 3.89/4.06 True
% 3.89/4.06 Clause #60 (by clausification #[59]): Eq (iext uri_ex_hasAncestor uri_ex_alice uri_ex_bob) True
% 3.89/4.06 Clause #61 (by clausification #[59]): ∀ (a : Iota),
% 3.89/4.06 Eq
% 3.89/4.06 (And
% 3.89/4.06 (And
% 3.89/4.06 (And
% 3.89/4.06 (And
% 3.89/4.06 (And
% 3.89/4.06 (And (iext uri_rdf_type uri_ex_hasAncestor uri_owl_TransitiveProperty)
% 3.89/4.06 (iext uri_rdfs_subClassOf uri_ex_Person (skS.0 4 a)))
% 3.92/4.08 (iext uri_rdf_type (skS.0 4 a) uri_owl_Restriction))
% 3.92/4.08 (iext uri_owl_onProperty (skS.0 4 a) uri_ex_hasAncestor))
% 3.92/4.08 (iext uri_owl_minCardinality (skS.0 4 a) (literal_typed dat_str_1 uri_xsd_nonNegativeInteger)))
% 3.92/4.08 (iext uri_rdf_type uri_ex_alice uri_ex_Person))
% 3.92/4.08 (iext uri_rdf_type uri_ex_bob uri_ex_Person))
% 3.92/4.08 True
% 3.92/4.08 Clause #62 (by clausification #[20]): ∀ (a a_1 a_2 a_3 : Iota),
% 3.92/4.08 Or (Eq (iext uri_owl_minCardinality a (literal_typed dat_str_1 uri_xsd_nonNegativeInteger)) False)
% 3.92/4.08 (Or (Eq (iext uri_owl_onProperty a a_1) False)
% 3.92/4.08 (Or (Eq (icext a a_2) False) (Eq (iext a_1 a_2 (skS.0 5 a_1 a_2 a_3)) True)))
% 3.92/4.08 Clause #63 (by clausification #[61]): Eq (iext uri_rdf_type uri_ex_bob uri_ex_Person) True
% 3.92/4.08 Clause #64 (by clausification #[61]): ∀ (a : Iota),
% 3.92/4.08 Eq
% 3.92/4.08 (And
% 3.92/4.08 (And
% 3.92/4.08 (And
% 3.92/4.08 (And
% 3.92/4.08 (And (iext uri_rdf_type uri_ex_hasAncestor uri_owl_TransitiveProperty)
% 3.92/4.08 (iext uri_rdfs_subClassOf uri_ex_Person (skS.0 4 a)))
% 3.92/4.08 (iext uri_rdf_type (skS.0 4 a) uri_owl_Restriction))
% 3.92/4.08 (iext uri_owl_onProperty (skS.0 4 a) uri_ex_hasAncestor))
% 3.92/4.08 (iext uri_owl_minCardinality (skS.0 4 a) (literal_typed dat_str_1 uri_xsd_nonNegativeInteger)))
% 3.92/4.08 (iext uri_rdf_type uri_ex_alice uri_ex_Person))
% 3.92/4.08 True
% 3.92/4.08 Clause #65 (by superposition #[63, 9]): Or (Eq True False) (Eq (icext uri_ex_Person uri_ex_bob) True)
% 3.92/4.08 Clause #67 (by clausification #[64]): ∀ (a : Iota),
% 3.92/4.08 Eq
% 3.92/4.08 (And
% 3.92/4.08 (And
% 3.92/4.08 (And
% 3.92/4.08 (And (iext uri_rdf_type uri_ex_hasAncestor uri_owl_TransitiveProperty)
% 3.92/4.08 (iext uri_rdfs_subClassOf uri_ex_Person (skS.0 4 a)))
% 3.92/4.08 (iext uri_rdf_type (skS.0 4 a) uri_owl_Restriction))
% 3.92/4.08 (iext uri_owl_onProperty (skS.0 4 a) uri_ex_hasAncestor))
% 3.92/4.08 (iext uri_owl_minCardinality (skS.0 4 a) (literal_typed dat_str_1 uri_xsd_nonNegativeInteger)))
% 3.92/4.08 True
% 3.92/4.08 Clause #71 (by clausification #[65]): Eq (icext uri_ex_Person uri_ex_bob) True
% 3.92/4.08 Clause #73 (by clausification #[67]): ∀ (a : Iota), Eq (iext uri_owl_minCardinality (skS.0 4 a) (literal_typed dat_str_1 uri_xsd_nonNegativeInteger)) True
% 3.92/4.08 Clause #74 (by clausification #[67]): ∀ (a : Iota),
% 3.92/4.08 Eq
% 3.92/4.08 (And
% 3.92/4.08 (And
% 3.92/4.08 (And (iext uri_rdf_type uri_ex_hasAncestor uri_owl_TransitiveProperty)
% 3.92/4.08 (iext uri_rdfs_subClassOf uri_ex_Person (skS.0 4 a)))
% 3.92/4.08 (iext uri_rdf_type (skS.0 4 a) uri_owl_Restriction))
% 3.92/4.08 (iext uri_owl_onProperty (skS.0 4 a) uri_ex_hasAncestor))
% 3.92/4.08 True
% 3.92/4.08 Clause #76 (by superposition #[73, 62]): ∀ (a a_1 a_2 a_3 : Iota),
% 3.92/4.08 Or (Eq True False)
% 3.92/4.08 (Or (Eq (iext uri_owl_onProperty (skS.0 4 a) a_1) False)
% 3.92/4.08 (Or (Eq (icext (skS.0 4 a) a_2) False) (Eq (iext a_1 a_2 (skS.0 5 a_1 a_2 a_3)) True)))
% 3.92/4.08 Clause #77 (by clausification #[74]): ∀ (a : Iota), Eq (iext uri_owl_onProperty (skS.0 4 a) uri_ex_hasAncestor) True
% 3.92/4.08 Clause #78 (by clausification #[74]): ∀ (a : Iota),
% 3.92/4.08 Eq
% 3.92/4.08 (And
% 3.92/4.08 (And (iext uri_rdf_type uri_ex_hasAncestor uri_owl_TransitiveProperty)
% 3.92/4.08 (iext uri_rdfs_subClassOf uri_ex_Person (skS.0 4 a)))
% 3.92/4.08 (iext uri_rdf_type (skS.0 4 a) uri_owl_Restriction))
% 3.92/4.08 True
% 3.92/4.08 Clause #80 (by clausification #[78]): ∀ (a : Iota),
% 3.92/4.08 Eq
% 3.92/4.08 (And (iext uri_rdf_type uri_ex_hasAncestor uri_owl_TransitiveProperty)
% 3.92/4.08 (iext uri_rdfs_subClassOf uri_ex_Person (skS.0 4 a)))
% 3.92/4.08 True
% 3.92/4.08 Clause #84 (by clausification #[80]): ∀ (a : Iota), Eq (iext uri_rdfs_subClassOf uri_ex_Person (skS.0 4 a)) True
% 3.92/4.08 Clause #85 (by clausification #[80]): Eq (iext uri_rdf_type uri_ex_hasAncestor uri_owl_TransitiveProperty) True
% 3.92/4.08 Clause #86 (by superposition #[84, 56]): ∀ (a a_1 : Iota), Or (Eq True False) (Or (Eq (icext uri_ex_Person a) False) (Eq (icext (skS.0 4 a_1) a) True))
% 3.92/4.08 Clause #94 (by superposition #[85, 9]): Or (Eq True False) (Eq (icext uri_owl_TransitiveProperty uri_ex_hasAncestor) True)
% 3.92/4.08 Clause #95 (by clausification #[94]): Eq (icext uri_owl_TransitiveProperty uri_ex_hasAncestor) True
% 3.92/4.08 Clause #96 (by superposition #[95, 52]): ∀ (a a_1 a_2 : Iota),
% 3.92/4.08 Or (Eq True False)
% 3.92/4.08 (Or (Eq (iext uri_ex_hasAncestor a a_1) True)
% 3.92/4.09 (Or (Eq (iext uri_ex_hasAncestor a a_2) False) (Eq (iext uri_ex_hasAncestor a_2 a_1) False)))
% 3.92/4.09 Clause #106 (by clausification #[76]): ∀ (a a_1 a_2 a_3 : Iota),
% 3.92/4.09 Or (Eq (iext uri_owl_onProperty (skS.0 4 a) a_1) False)
% 3.92/4.09 (Or (Eq (icext (skS.0 4 a) a_2) False) (Eq (iext a_1 a_2 (skS.0 5 a_1 a_2 a_3)) True))
% 3.92/4.09 Clause #107 (by superposition #[106, 77]): ∀ (a a_1 a_2 : Iota),
% 3.92/4.09 Or (Eq (icext (skS.0 4 a) a_1) False)
% 3.92/4.09 (Or (Eq (iext uri_ex_hasAncestor a_1 (skS.0 5 uri_ex_hasAncestor a_1 a_2)) True) (Eq False True))
% 3.92/4.09 Clause #108 (by clausification #[86]): ∀ (a a_1 : Iota), Or (Eq (icext uri_ex_Person a) False) (Eq (icext (skS.0 4 a_1) a) True)
% 3.92/4.09 Clause #110 (by superposition #[108, 71]): ∀ (a : Iota), Or (Eq (icext (skS.0 4 a) uri_ex_bob) True) (Eq False True)
% 3.92/4.09 Clause #111 (by clausification #[110]): ∀ (a : Iota), Eq (icext (skS.0 4 a) uri_ex_bob) True
% 3.92/4.09 Clause #123 (by clausification #[96]): ∀ (a a_1 a_2 : Iota),
% 3.92/4.09 Or (Eq (iext uri_ex_hasAncestor a a_1) True)
% 3.92/4.09 (Or (Eq (iext uri_ex_hasAncestor a a_2) False) (Eq (iext uri_ex_hasAncestor a_2 a_1) False))
% 3.92/4.09 Clause #124 (by superposition #[123, 60]): ∀ (a : Iota),
% 3.92/4.09 Or (Eq (iext uri_ex_hasAncestor uri_ex_alice a) True)
% 3.92/4.09 (Or (Eq (iext uri_ex_hasAncestor uri_ex_bob a) False) (Eq False True))
% 3.92/4.09 Clause #125 (by clausification #[124]): ∀ (a : Iota), Or (Eq (iext uri_ex_hasAncestor uri_ex_alice a) True) (Eq (iext uri_ex_hasAncestor uri_ex_bob a) False)
% 3.92/4.09 Clause #144 (by clausification #[107]): ∀ (a a_1 a_2 : Iota),
% 3.92/4.09 Or (Eq (icext (skS.0 4 a) a_1) False) (Eq (iext uri_ex_hasAncestor a_1 (skS.0 5 uri_ex_hasAncestor a_1 a_2)) True)
% 3.92/4.09 Clause #145 (by superposition #[144, 111]): ∀ (a : Iota),
% 3.92/4.09 Or (Eq (iext uri_ex_hasAncestor uri_ex_bob (skS.0 5 uri_ex_hasAncestor uri_ex_bob a)) True) (Eq False True)
% 3.92/4.09 Clause #152 (by clausification #[145]): ∀ (a : Iota), Eq (iext uri_ex_hasAncestor uri_ex_bob (skS.0 5 uri_ex_hasAncestor uri_ex_bob a)) True
% 3.92/4.09 Clause #153 (by superposition #[152, 12]): ∀ (a : Iota),
% 3.92/4.09 Or (Eq True False) (Eq (iext uri_ex_hasAncestor uri_ex_alice (skS.0 5 uri_ex_hasAncestor uri_ex_bob a)) False)
% 3.92/4.09 Clause #154 (by superposition #[152, 125]): ∀ (a : Iota),
% 3.92/4.09 Or (Eq (iext uri_ex_hasAncestor uri_ex_alice (skS.0 5 uri_ex_hasAncestor uri_ex_bob a)) True) (Eq True False)
% 3.92/4.09 Clause #157 (by clausification #[154]): ∀ (a : Iota), Eq (iext uri_ex_hasAncestor uri_ex_alice (skS.0 5 uri_ex_hasAncestor uri_ex_bob a)) True
% 3.92/4.09 Clause #159 (by clausification #[153]): ∀ (a : Iota), Eq (iext uri_ex_hasAncestor uri_ex_alice (skS.0 5 uri_ex_hasAncestor uri_ex_bob a)) False
% 3.92/4.09 Clause #160 (by superposition #[159, 157]): Eq False True
% 3.92/4.09 Clause #161 (by clausification #[160]): False
% 3.92/4.09 SZS output end Proof for theBenchmark.p
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