TSTP Solution File: SWB016+2 by Duper---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Duper---1.0
% Problem : SWB016+2 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n027.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 20:04:00 EDT 2023
% Result : Theorem 14.23s 14.47s
% Output : Proof 14.30s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWB016+2 : TPTP v8.1.2. Released v5.2.0.
% 0.00/0.13 % Command : duper %s
% 0.13/0.34 % Computer : n027.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 06:58:05 EDT 2023
% 0.13/0.34 % CPUTime :
% 14.23/14.47 SZS status Theorem for theBenchmark.p
% 14.23/14.47 SZS output start Proof for theBenchmark.p
% 14.23/14.47 Clause #0 (by assumption #[]): Eq (∀ (P : Iota), Iff (iext uri_rdf_type P uri_rdf_Property) (ip P)) True
% 14.23/14.47 Clause #1 (by assumption #[]): Eq (∀ (X C : Iota), Iff (iext uri_rdf_type X C) (icext C X)) True
% 14.23/14.47 Clause #2 (by assumption #[]): Eq (∀ (P C X Y : Iota), And (iext uri_rdfs_domain P C) (iext P X Y) → icext C X) True
% 14.23/14.47 Clause #3 (by assumption #[]): Eq (iext uri_rdfs_domain uri_rdfs_domain uri_rdf_Property) True
% 14.23/14.47 Clause #4 (by assumption #[]): Eq (iext uri_rdfs_domain uri_rdfs_subClassOf uri_rdfs_Class) True
% 14.23/14.47 Clause #5 (by assumption #[]): Eq (ip uri_owl_equivalentClass) True
% 14.23/14.47 Clause #6 (by assumption #[]): Eq (∀ (X Y : Iota), iext uri_owl_equivalentClass X Y → And (ic X) (ic Y)) True
% 14.23/14.47 Clause #7 (by assumption #[]): Eq
% 14.23/14.47 (∀ (C1 C2 : Iota),
% 14.23/14.47 Iff (iext uri_rdfs_subClassOf C1 C2) (And (And (ic C1) (ic C2)) (∀ (X : Iota), icext C1 X → icext C2 X)))
% 14.23/14.47 True
% 14.23/14.47 Clause #8 (by assumption #[]): Eq
% 14.23/14.47 (∀ (P1 P2 : Iota),
% 14.23/14.47 Iff (iext uri_rdfs_subPropertyOf P1 P2) (And (And (ip P1) (ip P2)) (∀ (X Y : Iota), iext P1 X Y → iext P2 X Y)))
% 14.23/14.47 True
% 14.23/14.47 Clause #9 (by assumption #[]): Eq
% 14.23/14.47 (∀ (C1 C2 : Iota),
% 14.23/14.47 Iff (iext uri_owl_equivalentClass C1 C2) (And (And (ic C1) (ic C2)) (∀ (X : Iota), Iff (icext C1 X) (icext C2 X))))
% 14.23/14.47 True
% 14.23/14.47 Clause #10 (by assumption #[]): Eq (Not (iext uri_rdfs_subPropertyOf uri_owl_equivalentClass uri_rdfs_subClassOf)) True
% 14.23/14.47 Clause #11 (by clausification #[10]): Eq (iext uri_rdfs_subPropertyOf uri_owl_equivalentClass uri_rdfs_subClassOf) False
% 14.23/14.47 Clause #12 (by clausification #[2]): ∀ (a : Iota), Eq (∀ (C X Y : Iota), And (iext uri_rdfs_domain a C) (iext a X Y) → icext C X) True
% 14.23/14.47 Clause #13 (by clausification #[12]): ∀ (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
% 14.23/14.47 Clause #14 (by clausification #[13]): ∀ (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
% 14.23/14.47 Clause #15 (by clausification #[14]): ∀ (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
% 14.23/14.47 Clause #16 (by clausification #[15]): ∀ (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)
% 14.23/14.47 Clause #17 (by clausification #[16]): ∀ (a a_1 a_2 a_3 : Iota),
% 14.23/14.47 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))
% 14.23/14.47 Clause #19 (by superposition #[17, 3]): ∀ (a a_1 : Iota), Or (Eq (icext uri_rdf_Property a) True) (Or (Eq (iext uri_rdfs_domain a a_1) False) (Eq False True))
% 14.23/14.47 Clause #20 (by clausification #[0]): ∀ (a : Iota), Eq (Iff (iext uri_rdf_type a uri_rdf_Property) (ip a)) True
% 14.23/14.47 Clause #22 (by clausification #[20]): ∀ (a : Iota), Or (Eq (iext uri_rdf_type a uri_rdf_Property) False) (Eq (ip a) True)
% 14.23/14.47 Clause #26 (by clausification #[6]): ∀ (a : Iota), Eq (∀ (Y : Iota), iext uri_owl_equivalentClass a Y → And (ic a) (ic Y)) True
% 14.23/14.47 Clause #27 (by clausification #[26]): ∀ (a a_1 : Iota), Eq (iext uri_owl_equivalentClass a a_1 → And (ic a) (ic a_1)) True
% 14.23/14.47 Clause #28 (by clausification #[27]): ∀ (a a_1 : Iota), Or (Eq (iext uri_owl_equivalentClass a a_1) False) (Eq (And (ic a) (ic a_1)) True)
% 14.23/14.47 Clause #29 (by clausification #[28]): ∀ (a a_1 : Iota), Or (Eq (iext uri_owl_equivalentClass a a_1) False) (Eq (ic a_1) True)
% 14.23/14.47 Clause #30 (by clausification #[28]): ∀ (a a_1 : Iota), Or (Eq (iext uri_owl_equivalentClass a a_1) False) (Eq (ic a) True)
% 14.23/14.47 Clause #31 (by clausification #[1]): ∀ (a : Iota), Eq (∀ (C : Iota), Iff (iext uri_rdf_type a C) (icext C a)) True
% 14.23/14.47 Clause #32 (by clausification #[31]): ∀ (a a_1 : Iota), Eq (Iff (iext uri_rdf_type a a_1) (icext a_1 a)) True
% 14.23/14.47 Clause #33 (by clausification #[32]): ∀ (a a_1 : Iota), Or (Eq (iext uri_rdf_type a a_1) True) (Eq (icext a_1 a) False)
% 14.23/14.47 Clause #39 (by clausification #[19]): ∀ (a a_1 : Iota), Or (Eq (icext uri_rdf_Property a) True) (Eq (iext uri_rdfs_domain a a_1) False)
% 14.23/14.47 Clause #40 (by superposition #[39, 4]): Or (Eq (icext uri_rdf_Property uri_rdfs_subClassOf) True) (Eq False True)
% 14.30/14.49 Clause #42 (by clausification #[7]): ∀ (a : Iota),
% 14.30/14.49 Eq
% 14.30/14.49 (∀ (C2 : Iota),
% 14.30/14.49 Iff (iext uri_rdfs_subClassOf a C2) (And (And (ic a) (ic C2)) (∀ (X : Iota), icext a X → icext C2 X)))
% 14.30/14.49 True
% 14.30/14.49 Clause #43 (by clausification #[42]): ∀ (a a_1 : Iota),
% 14.30/14.49 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
% 14.30/14.49 Clause #44 (by clausification #[43]): ∀ (a a_1 : Iota),
% 14.30/14.49 Or (Eq (iext uri_rdfs_subClassOf a a_1) True)
% 14.30/14.49 (Eq (And (And (ic a) (ic a_1)) (∀ (X : Iota), icext a X → icext a_1 X)) False)
% 14.30/14.49 Clause #46 (by clausification #[44]): ∀ (a a_1 : Iota),
% 14.30/14.49 Or (Eq (iext uri_rdfs_subClassOf a a_1) True)
% 14.30/14.49 (Or (Eq (And (ic a) (ic a_1)) False) (Eq (∀ (X : Iota), icext a X → icext a_1 X) False))
% 14.30/14.49 Clause #47 (by clausification #[46]): ∀ (a a_1 : Iota),
% 14.30/14.49 Or (Eq (iext uri_rdfs_subClassOf a a_1) True)
% 14.30/14.49 (Or (Eq (∀ (X : Iota), icext a X → icext a_1 X) False) (Or (Eq (ic a) False) (Eq (ic a_1) False)))
% 14.30/14.49 Clause #48 (by clausification #[47]): ∀ (a a_1 a_2 : Iota),
% 14.30/14.49 Or (Eq (iext uri_rdfs_subClassOf a a_1) True)
% 14.30/14.49 (Or (Eq (ic a) False)
% 14.30/14.49 (Or (Eq (ic a_1) False) (Eq (Not (icext a (skS.0 0 a a_1 a_2) → icext a_1 (skS.0 0 a a_1 a_2))) True)))
% 14.30/14.49 Clause #49 (by clausification #[48]): ∀ (a a_1 a_2 : Iota),
% 14.30/14.49 Or (Eq (iext uri_rdfs_subClassOf a a_1) True)
% 14.30/14.49 (Or (Eq (ic a) False)
% 14.30/14.49 (Or (Eq (ic a_1) False) (Eq (icext a (skS.0 0 a a_1 a_2) → icext a_1 (skS.0 0 a a_1 a_2)) False)))
% 14.30/14.49 Clause #50 (by clausification #[49]): ∀ (a a_1 a_2 : Iota),
% 14.30/14.49 Or (Eq (iext uri_rdfs_subClassOf a a_1) True)
% 14.30/14.49 (Or (Eq (ic a) False) (Or (Eq (ic a_1) False) (Eq (icext a (skS.0 0 a a_1 a_2)) True)))
% 14.30/14.49 Clause #51 (by clausification #[49]): ∀ (a a_1 a_2 : Iota),
% 14.30/14.49 Or (Eq (iext uri_rdfs_subClassOf a a_1) True)
% 14.30/14.49 (Or (Eq (ic a) False) (Or (Eq (ic a_1) False) (Eq (icext a_1 (skS.0 0 a a_1 a_2)) False)))
% 14.30/14.49 Clause #54 (by clausification #[40]): Eq (icext uri_rdf_Property uri_rdfs_subClassOf) True
% 14.30/14.49 Clause #55 (by superposition #[54, 33]): Or (Eq (iext uri_rdf_type uri_rdfs_subClassOf uri_rdf_Property) True) (Eq True False)
% 14.30/14.49 Clause #60 (by clausification #[8]): ∀ (a : Iota),
% 14.30/14.49 Eq
% 14.30/14.49 (∀ (P2 : Iota),
% 14.30/14.49 Iff (iext uri_rdfs_subPropertyOf a P2) (And (And (ip a) (ip P2)) (∀ (X Y : Iota), iext a X Y → iext P2 X Y)))
% 14.30/14.49 True
% 14.30/14.49 Clause #61 (by clausification #[60]): ∀ (a a_1 : Iota),
% 14.30/14.49 Eq (Iff (iext uri_rdfs_subPropertyOf a a_1) (And (And (ip a) (ip a_1)) (∀ (X Y : Iota), iext a X Y → iext a_1 X Y)))
% 14.30/14.49 True
% 14.30/14.49 Clause #62 (by clausification #[61]): ∀ (a a_1 : Iota),
% 14.30/14.49 Or (Eq (iext uri_rdfs_subPropertyOf a a_1) True)
% 14.30/14.49 (Eq (And (And (ip a) (ip a_1)) (∀ (X Y : Iota), iext a X Y → iext a_1 X Y)) False)
% 14.30/14.49 Clause #64 (by clausification #[62]): ∀ (a a_1 : Iota),
% 14.30/14.49 Or (Eq (iext uri_rdfs_subPropertyOf a a_1) True)
% 14.30/14.49 (Or (Eq (And (ip a) (ip a_1)) False) (Eq (∀ (X Y : Iota), iext a X Y → iext a_1 X Y) False))
% 14.30/14.49 Clause #65 (by clausification #[64]): ∀ (a a_1 : Iota),
% 14.30/14.49 Or (Eq (iext uri_rdfs_subPropertyOf a a_1) True)
% 14.30/14.49 (Or (Eq (∀ (X Y : Iota), iext a X Y → iext a_1 X Y) False) (Or (Eq (ip a) False) (Eq (ip a_1) False)))
% 14.30/14.49 Clause #66 (by clausification #[65]): ∀ (a a_1 a_2 : Iota),
% 14.30/14.49 Or (Eq (iext uri_rdfs_subPropertyOf a a_1) True)
% 14.30/14.49 (Or (Eq (ip a) False)
% 14.30/14.49 (Or (Eq (ip a_1) False)
% 14.30/14.49 (Eq (Not (∀ (Y : Iota), iext a (skS.0 1 a a_1 a_2) Y → iext a_1 (skS.0 1 a a_1 a_2) Y)) True)))
% 14.30/14.49 Clause #67 (by clausification #[66]): ∀ (a a_1 a_2 : Iota),
% 14.30/14.49 Or (Eq (iext uri_rdfs_subPropertyOf a a_1) True)
% 14.30/14.49 (Or (Eq (ip a) False)
% 14.30/14.49 (Or (Eq (ip a_1) False) (Eq (∀ (Y : Iota), iext a (skS.0 1 a a_1 a_2) Y → iext a_1 (skS.0 1 a a_1 a_2) Y) False)))
% 14.30/14.49 Clause #68 (by clausification #[67]): ∀ (a a_1 a_2 a_3 : Iota),
% 14.30/14.49 Or (Eq (iext uri_rdfs_subPropertyOf a a_1) True)
% 14.30/14.49 (Or (Eq (ip a) False)
% 14.30/14.49 (Or (Eq (ip a_1) False)
% 14.30/14.49 (Eq
% 14.30/14.49 (Not
% 14.30/14.49 (iext a (skS.0 1 a a_1 a_2) (skS.0 2 a a_1 a_2 a_3) → iext a_1 (skS.0 1 a a_1 a_2) (skS.0 2 a a_1 a_2 a_3)))
% 14.30/14.49 True)))
% 14.30/14.49 Clause #69 (by clausification #[68]): ∀ (a a_1 a_2 a_3 : Iota),
% 14.30/14.51 Or (Eq (iext uri_rdfs_subPropertyOf a a_1) True)
% 14.30/14.51 (Or (Eq (ip a) False)
% 14.30/14.51 (Or (Eq (ip a_1) False)
% 14.30/14.51 (Eq (iext a (skS.0 1 a a_1 a_2) (skS.0 2 a a_1 a_2 a_3) → iext a_1 (skS.0 1 a a_1 a_2) (skS.0 2 a a_1 a_2 a_3))
% 14.30/14.51 False)))
% 14.30/14.51 Clause #70 (by clausification #[69]): ∀ (a a_1 a_2 a_3 : Iota),
% 14.30/14.51 Or (Eq (iext uri_rdfs_subPropertyOf a a_1) True)
% 14.30/14.51 (Or (Eq (ip a) False) (Or (Eq (ip a_1) False) (Eq (iext a (skS.0 1 a a_1 a_2) (skS.0 2 a a_1 a_2 a_3)) True)))
% 14.30/14.51 Clause #71 (by clausification #[69]): ∀ (a a_1 a_2 a_3 : Iota),
% 14.30/14.51 Or (Eq (iext uri_rdfs_subPropertyOf a a_1) True)
% 14.30/14.51 (Or (Eq (ip a) False) (Or (Eq (ip a_1) False) (Eq (iext a_1 (skS.0 1 a a_1 a_2) (skS.0 2 a a_1 a_2 a_3)) False)))
% 14.30/14.51 Clause #72 (by superposition #[70, 5]): ∀ (a a_1 a_2 : Iota),
% 14.30/14.51 Or (Eq (iext uri_rdfs_subPropertyOf uri_owl_equivalentClass a) True)
% 14.30/14.51 (Or (Eq (ip a) False)
% 14.30/14.51 (Or
% 14.30/14.51 (Eq
% 14.30/14.51 (iext uri_owl_equivalentClass (skS.0 1 uri_owl_equivalentClass a a_1)
% 14.30/14.51 (skS.0 2 uri_owl_equivalentClass a a_1 a_2))
% 14.30/14.51 True)
% 14.30/14.51 (Eq False True)))
% 14.30/14.51 Clause #74 (by clausification #[55]): Eq (iext uri_rdf_type uri_rdfs_subClassOf uri_rdf_Property) True
% 14.30/14.51 Clause #75 (by superposition #[74, 22]): Or (Eq True False) (Eq (ip uri_rdfs_subClassOf) True)
% 14.30/14.51 Clause #77 (by clausification #[75]): Eq (ip uri_rdfs_subClassOf) True
% 14.30/14.51 Clause #85 (by clausification #[9]): ∀ (a : Iota),
% 14.30/14.51 Eq
% 14.30/14.51 (∀ (C2 : Iota),
% 14.30/14.51 Iff (iext uri_owl_equivalentClass a C2) (And (And (ic a) (ic C2)) (∀ (X : Iota), Iff (icext a X) (icext C2 X))))
% 14.30/14.51 True
% 14.30/14.51 Clause #86 (by clausification #[85]): ∀ (a a_1 : Iota),
% 14.30/14.51 Eq
% 14.30/14.51 (Iff (iext uri_owl_equivalentClass a a_1) (And (And (ic a) (ic a_1)) (∀ (X : Iota), Iff (icext a X) (icext a_1 X))))
% 14.30/14.51 True
% 14.30/14.51 Clause #88 (by clausification #[86]): ∀ (a a_1 : Iota),
% 14.30/14.51 Or (Eq (iext uri_owl_equivalentClass a a_1) False)
% 14.30/14.51 (Eq (And (And (ic a) (ic a_1)) (∀ (X : Iota), Iff (icext a X) (icext a_1 X))) True)
% 14.30/14.51 Clause #102 (by clausification #[88]): ∀ (a a_1 : Iota),
% 14.30/14.51 Or (Eq (iext uri_owl_equivalentClass a a_1) False) (Eq (∀ (X : Iota), Iff (icext a X) (icext a_1 X)) True)
% 14.30/14.51 Clause #103 (by clausification #[102]): ∀ (a a_1 a_2 : Iota), Or (Eq (iext uri_owl_equivalentClass a a_1) False) (Eq (Iff (icext a a_2) (icext a_1 a_2)) True)
% 14.30/14.51 Clause #105 (by clausification #[103]): ∀ (a a_1 a_2 : Iota),
% 14.30/14.51 Or (Eq (iext uri_owl_equivalentClass a a_1) False) (Or (Eq (icext a a_2) False) (Eq (icext a_1 a_2) True))
% 14.30/14.51 Clause #118 (by superposition #[71, 5]): ∀ (a a_1 a_2 : Iota),
% 14.30/14.51 Or (Eq (iext uri_rdfs_subPropertyOf uri_owl_equivalentClass a) True)
% 14.30/14.51 (Or (Eq (ip a) False)
% 14.30/14.51 (Or (Eq (iext a (skS.0 1 uri_owl_equivalentClass a a_1) (skS.0 2 uri_owl_equivalentClass a a_1 a_2)) False)
% 14.30/14.51 (Eq False True)))
% 14.30/14.51 Clause #133 (by clausification #[72]): ∀ (a a_1 a_2 : Iota),
% 14.30/14.51 Or (Eq (iext uri_rdfs_subPropertyOf uri_owl_equivalentClass a) True)
% 14.30/14.51 (Or (Eq (ip a) False)
% 14.30/14.51 (Eq
% 14.30/14.51 (iext uri_owl_equivalentClass (skS.0 1 uri_owl_equivalentClass a a_1)
% 14.30/14.51 (skS.0 2 uri_owl_equivalentClass a a_1 a_2))
% 14.30/14.51 True))
% 14.30/14.51 Clause #136 (by superposition #[133, 77]): ∀ (a a_1 : Iota),
% 14.30/14.51 Or (Eq (iext uri_rdfs_subPropertyOf uri_owl_equivalentClass uri_rdfs_subClassOf) True)
% 14.30/14.51 (Or
% 14.30/14.51 (Eq
% 14.30/14.51 (iext uri_owl_equivalentClass (skS.0 1 uri_owl_equivalentClass uri_rdfs_subClassOf a)
% 14.30/14.51 (skS.0 2 uri_owl_equivalentClass uri_rdfs_subClassOf a a_1))
% 14.30/14.51 True)
% 14.30/14.51 (Eq False True))
% 14.30/14.51 Clause #163 (by clausification #[136]): ∀ (a a_1 : Iota),
% 14.30/14.51 Or (Eq (iext uri_rdfs_subPropertyOf uri_owl_equivalentClass uri_rdfs_subClassOf) True)
% 14.30/14.51 (Eq
% 14.30/14.51 (iext uri_owl_equivalentClass (skS.0 1 uri_owl_equivalentClass uri_rdfs_subClassOf a)
% 14.30/14.51 (skS.0 2 uri_owl_equivalentClass uri_rdfs_subClassOf a a_1))
% 14.30/14.51 True)
% 14.30/14.51 Clause #164 (by forward demodulation #[163, 11]): ∀ (a a_1 : Iota),
% 14.30/14.51 Or (Eq False True)
% 14.30/14.51 (Eq
% 14.30/14.51 (iext uri_owl_equivalentClass (skS.0 1 uri_owl_equivalentClass uri_rdfs_subClassOf a)
% 14.30/14.51 (skS.0 2 uri_owl_equivalentClass uri_rdfs_subClassOf a a_1))
% 14.30/14.51 True)
% 14.30/14.51 Clause #165 (by clausification #[164]): ∀ (a a_1 : Iota),
% 14.30/14.53 Eq
% 14.30/14.53 (iext uri_owl_equivalentClass (skS.0 1 uri_owl_equivalentClass uri_rdfs_subClassOf a)
% 14.30/14.53 (skS.0 2 uri_owl_equivalentClass uri_rdfs_subClassOf a a_1))
% 14.30/14.53 True
% 14.30/14.53 Clause #166 (by superposition #[165, 29]): ∀ (a a_1 : Iota), Or (Eq True False) (Eq (ic (skS.0 2 uri_owl_equivalentClass uri_rdfs_subClassOf a a_1)) True)
% 14.30/14.53 Clause #167 (by superposition #[165, 30]): ∀ (a : Iota), Or (Eq True False) (Eq (ic (skS.0 1 uri_owl_equivalentClass uri_rdfs_subClassOf a)) True)
% 14.30/14.53 Clause #169 (by superposition #[165, 105]): ∀ (a a_1 a_2 : Iota),
% 14.30/14.53 Or (Eq True False)
% 14.30/14.53 (Or (Eq (icext (skS.0 1 uri_owl_equivalentClass uri_rdfs_subClassOf a) a_1) False)
% 14.30/14.53 (Eq (icext (skS.0 2 uri_owl_equivalentClass uri_rdfs_subClassOf a a_2) a_1) True))
% 14.30/14.53 Clause #170 (by clausification #[167]): ∀ (a : Iota), Eq (ic (skS.0 1 uri_owl_equivalentClass uri_rdfs_subClassOf a)) True
% 14.30/14.53 Clause #171 (by superposition #[170, 50]): ∀ (a a_1 a_2 : Iota),
% 14.30/14.53 Or (Eq (iext uri_rdfs_subClassOf (skS.0 1 uri_owl_equivalentClass uri_rdfs_subClassOf a) a_1) True)
% 14.30/14.53 (Or (Eq True False)
% 14.30/14.53 (Or (Eq (ic a_1) False)
% 14.30/14.53 (Eq
% 14.30/14.53 (icext (skS.0 1 uri_owl_equivalentClass uri_rdfs_subClassOf a)
% 14.30/14.53 (skS.0 0 (skS.0 1 uri_owl_equivalentClass uri_rdfs_subClassOf a) a_1 a_2))
% 14.30/14.53 True)))
% 14.30/14.53 Clause #173 (by superposition #[170, 51]): ∀ (a a_1 a_2 : Iota),
% 14.30/14.53 Or (Eq (iext uri_rdfs_subClassOf (skS.0 1 uri_owl_equivalentClass uri_rdfs_subClassOf a) a_1) True)
% 14.30/14.53 (Or (Eq True False)
% 14.30/14.53 (Or (Eq (ic a_1) False)
% 14.30/14.53 (Eq (icext a_1 (skS.0 0 (skS.0 1 uri_owl_equivalentClass uri_rdfs_subClassOf a) a_1 a_2)) False)))
% 14.30/14.53 Clause #174 (by clausification #[166]): ∀ (a a_1 : Iota), Eq (ic (skS.0 2 uri_owl_equivalentClass uri_rdfs_subClassOf a a_1)) True
% 14.30/14.53 Clause #181 (by clausification #[169]): ∀ (a a_1 a_2 : Iota),
% 14.30/14.53 Or (Eq (icext (skS.0 1 uri_owl_equivalentClass uri_rdfs_subClassOf a) a_1) False)
% 14.30/14.53 (Eq (icext (skS.0 2 uri_owl_equivalentClass uri_rdfs_subClassOf a a_2) a_1) True)
% 14.30/14.53 Clause #223 (by clausification #[118]): ∀ (a a_1 a_2 : Iota),
% 14.30/14.53 Or (Eq (iext uri_rdfs_subPropertyOf uri_owl_equivalentClass a) True)
% 14.30/14.53 (Or (Eq (ip a) False)
% 14.30/14.53 (Eq (iext a (skS.0 1 uri_owl_equivalentClass a a_1) (skS.0 2 uri_owl_equivalentClass a a_1 a_2)) False))
% 14.30/14.53 Clause #226 (by superposition #[223, 77]): ∀ (a a_1 : Iota),
% 14.30/14.53 Or (Eq (iext uri_rdfs_subPropertyOf uri_owl_equivalentClass uri_rdfs_subClassOf) True)
% 14.30/14.53 (Or
% 14.30/14.53 (Eq
% 14.30/14.53 (iext uri_rdfs_subClassOf (skS.0 1 uri_owl_equivalentClass uri_rdfs_subClassOf a)
% 14.30/14.53 (skS.0 2 uri_owl_equivalentClass uri_rdfs_subClassOf a a_1))
% 14.30/14.53 False)
% 14.30/14.53 (Eq False True))
% 14.30/14.53 Clause #239 (by clausification #[226]): ∀ (a a_1 : Iota),
% 14.30/14.53 Or (Eq (iext uri_rdfs_subPropertyOf uri_owl_equivalentClass uri_rdfs_subClassOf) True)
% 14.30/14.53 (Eq
% 14.30/14.53 (iext uri_rdfs_subClassOf (skS.0 1 uri_owl_equivalentClass uri_rdfs_subClassOf a)
% 14.30/14.53 (skS.0 2 uri_owl_equivalentClass uri_rdfs_subClassOf a a_1))
% 14.30/14.53 False)
% 14.30/14.53 Clause #240 (by forward demodulation #[239, 11]): ∀ (a a_1 : Iota),
% 14.30/14.53 Or (Eq False True)
% 14.30/14.53 (Eq
% 14.30/14.53 (iext uri_rdfs_subClassOf (skS.0 1 uri_owl_equivalentClass uri_rdfs_subClassOf a)
% 14.30/14.53 (skS.0 2 uri_owl_equivalentClass uri_rdfs_subClassOf a a_1))
% 14.30/14.53 False)
% 14.30/14.53 Clause #241 (by clausification #[240]): ∀ (a a_1 : Iota),
% 14.30/14.53 Eq
% 14.30/14.53 (iext uri_rdfs_subClassOf (skS.0 1 uri_owl_equivalentClass uri_rdfs_subClassOf a)
% 14.30/14.53 (skS.0 2 uri_owl_equivalentClass uri_rdfs_subClassOf a a_1))
% 14.30/14.53 False
% 14.30/14.53 Clause #370 (by clausification #[173]): ∀ (a a_1 a_2 : Iota),
% 14.30/14.53 Or (Eq (iext uri_rdfs_subClassOf (skS.0 1 uri_owl_equivalentClass uri_rdfs_subClassOf a) a_1) True)
% 14.30/14.53 (Or (Eq (ic a_1) False)
% 14.30/14.53 (Eq (icext a_1 (skS.0 0 (skS.0 1 uri_owl_equivalentClass uri_rdfs_subClassOf a) a_1 a_2)) False))
% 14.30/14.53 Clause #372 (by superposition #[370, 174]): ∀ (a a_1 a_2 a_3 : Iota),
% 14.30/14.53 Or
% 14.30/14.53 (Eq
% 14.30/14.53 (iext uri_rdfs_subClassOf (skS.0 1 uri_owl_equivalentClass uri_rdfs_subClassOf a)
% 14.30/14.53 (skS.0 2 uri_owl_equivalentClass uri_rdfs_subClassOf a_1 a_2))
% 14.30/14.53 True)
% 14.30/14.53 (Or
% 14.30/14.53 (Eq
% 14.30/14.53 (icext (skS.0 2 uri_owl_equivalentClass uri_rdfs_subClassOf a_1 a_2)
% 14.30/14.54 (skS.0 0 (skS.0 1 uri_owl_equivalentClass uri_rdfs_subClassOf a)
% 14.30/14.54 (skS.0 2 uri_owl_equivalentClass uri_rdfs_subClassOf a_1 a_2) a_3))
% 14.30/14.54 False)
% 14.30/14.54 (Eq False True))
% 14.30/14.54 Clause #553 (by clausification #[171]): ∀ (a a_1 a_2 : Iota),
% 14.30/14.54 Or (Eq (iext uri_rdfs_subClassOf (skS.0 1 uri_owl_equivalentClass uri_rdfs_subClassOf a) a_1) True)
% 14.30/14.54 (Or (Eq (ic a_1) False)
% 14.30/14.54 (Eq
% 14.30/14.54 (icext (skS.0 1 uri_owl_equivalentClass uri_rdfs_subClassOf a)
% 14.30/14.54 (skS.0 0 (skS.0 1 uri_owl_equivalentClass uri_rdfs_subClassOf a) a_1 a_2))
% 14.30/14.54 True))
% 14.30/14.54 Clause #555 (by superposition #[553, 174]): ∀ (a a_1 a_2 a_3 : Iota),
% 14.30/14.54 Or
% 14.30/14.54 (Eq
% 14.30/14.54 (iext uri_rdfs_subClassOf (skS.0 1 uri_owl_equivalentClass uri_rdfs_subClassOf a)
% 14.30/14.54 (skS.0 2 uri_owl_equivalentClass uri_rdfs_subClassOf a_1 a_2))
% 14.30/14.54 True)
% 14.30/14.54 (Or
% 14.30/14.54 (Eq
% 14.30/14.54 (icext (skS.0 1 uri_owl_equivalentClass uri_rdfs_subClassOf a)
% 14.30/14.54 (skS.0 0 (skS.0 1 uri_owl_equivalentClass uri_rdfs_subClassOf a)
% 14.30/14.54 (skS.0 2 uri_owl_equivalentClass uri_rdfs_subClassOf a_1 a_2) a_3))
% 14.30/14.54 True)
% 14.30/14.54 (Eq False True))
% 14.30/14.54 Clause #929 (by clausification #[555]): ∀ (a a_1 a_2 a_3 : Iota),
% 14.30/14.54 Or
% 14.30/14.54 (Eq
% 14.30/14.54 (iext uri_rdfs_subClassOf (skS.0 1 uri_owl_equivalentClass uri_rdfs_subClassOf a)
% 14.30/14.54 (skS.0 2 uri_owl_equivalentClass uri_rdfs_subClassOf a_1 a_2))
% 14.30/14.54 True)
% 14.30/14.54 (Eq
% 14.30/14.54 (icext (skS.0 1 uri_owl_equivalentClass uri_rdfs_subClassOf a)
% 14.30/14.54 (skS.0 0 (skS.0 1 uri_owl_equivalentClass uri_rdfs_subClassOf a)
% 14.30/14.54 (skS.0 2 uri_owl_equivalentClass uri_rdfs_subClassOf a_1 a_2) a_3))
% 14.30/14.54 True)
% 14.30/14.54 Clause #930 (by superposition #[929, 181]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 14.30/14.54 Or
% 14.30/14.54 (Eq
% 14.30/14.54 (iext uri_rdfs_subClassOf (skS.0 1 uri_owl_equivalentClass uri_rdfs_subClassOf a)
% 14.30/14.54 (skS.0 2 uri_owl_equivalentClass uri_rdfs_subClassOf a_1 a_2))
% 14.30/14.54 True)
% 14.30/14.54 (Or (Eq True False)
% 14.30/14.54 (Eq
% 14.30/14.54 (icext (skS.0 2 uri_owl_equivalentClass uri_rdfs_subClassOf a a_3)
% 14.30/14.54 (skS.0 0 (skS.0 1 uri_owl_equivalentClass uri_rdfs_subClassOf a)
% 14.30/14.54 (skS.0 2 uri_owl_equivalentClass uri_rdfs_subClassOf a_1 a_2) a_4))
% 14.30/14.54 True))
% 14.30/14.54 Clause #980 (by clausification #[372]): ∀ (a a_1 a_2 a_3 : Iota),
% 14.30/14.54 Or
% 14.30/14.54 (Eq
% 14.30/14.54 (iext uri_rdfs_subClassOf (skS.0 1 uri_owl_equivalentClass uri_rdfs_subClassOf a)
% 14.30/14.54 (skS.0 2 uri_owl_equivalentClass uri_rdfs_subClassOf a_1 a_2))
% 14.30/14.54 True)
% 14.30/14.54 (Eq
% 14.30/14.54 (icext (skS.0 2 uri_owl_equivalentClass uri_rdfs_subClassOf a_1 a_2)
% 14.30/14.54 (skS.0 0 (skS.0 1 uri_owl_equivalentClass uri_rdfs_subClassOf a)
% 14.30/14.54 (skS.0 2 uri_owl_equivalentClass uri_rdfs_subClassOf a_1 a_2) a_3))
% 14.30/14.54 False)
% 14.30/14.54 Clause #1019 (by clausification #[930]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 14.30/14.54 Or
% 14.30/14.54 (Eq
% 14.30/14.54 (iext uri_rdfs_subClassOf (skS.0 1 uri_owl_equivalentClass uri_rdfs_subClassOf a)
% 14.30/14.54 (skS.0 2 uri_owl_equivalentClass uri_rdfs_subClassOf a_1 a_2))
% 14.30/14.54 True)
% 14.30/14.54 (Eq
% 14.30/14.54 (icext (skS.0 2 uri_owl_equivalentClass uri_rdfs_subClassOf a a_3)
% 14.30/14.54 (skS.0 0 (skS.0 1 uri_owl_equivalentClass uri_rdfs_subClassOf a)
% 14.30/14.54 (skS.0 2 uri_owl_equivalentClass uri_rdfs_subClassOf a_1 a_2) a_4))
% 14.30/14.54 True)
% 14.30/14.54 Clause #1020 (by superposition #[1019, 980]): ∀ (a a_1 : Iota),
% 14.30/14.54 Or
% 14.30/14.54 (Eq
% 14.30/14.54 (iext uri_rdfs_subClassOf (skS.0 1 uri_owl_equivalentClass uri_rdfs_subClassOf a)
% 14.30/14.54 (skS.0 2 uri_owl_equivalentClass uri_rdfs_subClassOf a a_1))
% 14.30/14.54 True)
% 14.30/14.54 (Or
% 14.30/14.54 (Eq
% 14.30/14.54 (iext uri_rdfs_subClassOf (skS.0 1 uri_owl_equivalentClass uri_rdfs_subClassOf a)
% 14.30/14.54 (skS.0 2 uri_owl_equivalentClass uri_rdfs_subClassOf a a_1))
% 14.30/14.54 True)
% 14.30/14.54 (Eq True False))
% 14.30/14.54 Clause #1023 (by clausification #[1020]): ∀ (a a_1 : Iota),
% 14.30/14.54 Or
% 14.30/14.54 (Eq
% 14.30/14.54 (iext uri_rdfs_subClassOf (skS.0 1 uri_owl_equivalentClass uri_rdfs_subClassOf a)
% 14.30/14.54 (skS.0 2 uri_owl_equivalentClass uri_rdfs_subClassOf a a_1))
% 14.30/14.54 True)
% 14.30/14.54 (Eq
% 14.30/14.54 (iext uri_rdfs_subClassOf (skS.0 1 uri_owl_equivalentClass uri_rdfs_subClassOf a)
% 14.30/14.54 (skS.0 2 uri_owl_equivalentClass uri_rdfs_subClassOf a a_1))
% 14.30/14.54 True)
% 14.30/14.54 Clause #1024 (by eliminate duplicate literals #[1023]): ∀ (a a_1 : Iota),
% 14.30/14.55 Eq
% 14.30/14.55 (iext uri_rdfs_subClassOf (skS.0 1 uri_owl_equivalentClass uri_rdfs_subClassOf a)
% 14.30/14.55 (skS.0 2 uri_owl_equivalentClass uri_rdfs_subClassOf a a_1))
% 14.30/14.55 True
% 14.30/14.55 Clause #1025 (by superposition #[1024, 241]): Eq True False
% 14.30/14.55 Clause #1026 (by clausification #[1025]): False
% 14.30/14.55 SZS output end Proof for theBenchmark.p
%------------------------------------------------------------------------------