TSTP Solution File: SWB004+2 by Duper---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Duper---1.0
% Problem : SWB004+2 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n006.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 20:03:52 EDT 2023
% Result : Theorem 9.59s 9.78s
% Output : Proof 9.74s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWB004+2 : TPTP v8.1.2. Released v5.2.0.
% 0.00/0.13 % Command : duper %s
% 0.12/0.34 % Computer : n006.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Sun Aug 27 07:18:22 EDT 2023
% 0.12/0.34 % CPUTime :
% 9.59/9.78 SZS status Theorem for theBenchmark.p
% 9.59/9.78 SZS output start Proof for theBenchmark.p
% 9.59/9.78 Clause #0 (by assumption #[]): Eq (∀ (X : Iota), ir X) True
% 9.59/9.78 Clause #1 (by assumption #[]): Eq (∀ (X C : Iota), Iff (iext uri_rdf_type X C) (icext C X)) True
% 9.59/9.78 Clause #2 (by assumption #[]): Eq (∀ (X : Iota), idc X → ic X) True
% 9.59/9.78 Clause #3 (by assumption #[]): Eq (ic uri_owl_Class) True
% 9.59/9.78 Clause #4 (by assumption #[]): Eq (∀ (X : Iota), Iff (icext uri_owl_Class X) (ic X)) True
% 9.59/9.78 Clause #5 (by assumption #[]): Eq (ic uri_rdfs_Class) True
% 9.59/9.78 Clause #6 (by assumption #[]): Eq (∀ (X : Iota), Iff (icext uri_rdfs_Class X) (ic X)) True
% 9.59/9.78 Clause #7 (by assumption #[]): Eq (ic uri_rdfs_Datatype) True
% 9.59/9.78 Clause #8 (by assumption #[]): Eq (∀ (X : Iota), Iff (icext uri_rdfs_Datatype X) (idc X)) True
% 9.59/9.78 Clause #9 (by assumption #[]): Eq (ic uri_owl_Thing) True
% 9.59/9.78 Clause #10 (by assumption #[]): Eq (∀ (X : Iota), Iff (icext uri_owl_Thing X) (ir X)) True
% 9.59/9.78 Clause #11 (by assumption #[]): Eq
% 9.59/9.78 (∀ (C1 C2 : Iota),
% 9.59/9.78 Iff (iext uri_rdfs_subClassOf C1 C2) (And (And (ic C1) (ic C2)) (∀ (X : Iota), icext C1 X → icext C2 X)))
% 9.59/9.78 True
% 9.59/9.78 Clause #12 (by assumption #[]): Eq
% 9.59/9.78 (∀ (C1 C2 : Iota),
% 9.59/9.78 Iff (iext uri_owl_equivalentClass C1 C2) (And (And (ic C1) (ic C2)) (∀ (X : Iota), Iff (icext C1 X) (icext C2 X))))
% 9.59/9.78 True
% 9.59/9.78 Clause #13 (by assumption #[]): Eq
% 9.59/9.78 (Not
% 9.59/9.78 (And
% 9.59/9.78 (And
% 9.59/9.78 (And (And (iext uri_rdf_type uri_owl_Class uri_owl_Thing) (iext uri_rdf_type uri_owl_Class uri_owl_Class))
% 9.59/9.78 (iext uri_rdfs_subClassOf uri_owl_Class uri_owl_Thing))
% 9.59/9.78 (iext uri_owl_equivalentClass uri_owl_Class uri_rdfs_Class))
% 9.59/9.78 (iext uri_rdfs_subClassOf uri_rdfs_Datatype uri_owl_Class)))
% 9.59/9.78 True
% 9.59/9.78 Clause #14 (by clausification #[0]): ∀ (a : Iota), Eq (ir a) True
% 9.59/9.78 Clause #15 (by clausification #[1]): ∀ (a : Iota), Eq (∀ (C : Iota), Iff (iext uri_rdf_type a C) (icext C a)) True
% 9.59/9.78 Clause #16 (by clausification #[15]): ∀ (a a_1 : Iota), Eq (Iff (iext uri_rdf_type a a_1) (icext a_1 a)) True
% 9.59/9.78 Clause #17 (by clausification #[16]): ∀ (a a_1 : Iota), Or (Eq (iext uri_rdf_type a a_1) True) (Eq (icext a_1 a) False)
% 9.59/9.78 Clause #19 (by clausification #[2]): ∀ (a : Iota), Eq (idc a → ic a) True
% 9.59/9.78 Clause #20 (by clausification #[19]): ∀ (a : Iota), Or (Eq (idc a) False) (Eq (ic a) True)
% 9.59/9.78 Clause #21 (by clausification #[4]): ∀ (a : Iota), Eq (Iff (icext uri_owl_Class a) (ic a)) True
% 9.59/9.78 Clause #22 (by clausification #[21]): ∀ (a : Iota), Or (Eq (icext uri_owl_Class a) True) (Eq (ic a) False)
% 9.59/9.78 Clause #23 (by clausification #[21]): ∀ (a : Iota), Or (Eq (icext uri_owl_Class a) False) (Eq (ic a) True)
% 9.59/9.78 Clause #27 (by superposition #[22, 3]): Or (Eq (icext uri_owl_Class uri_owl_Class) True) (Eq False True)
% 9.59/9.78 Clause #28 (by clausification #[27]): Eq (icext uri_owl_Class uri_owl_Class) True
% 9.59/9.78 Clause #29 (by superposition #[28, 17]): Or (Eq (iext uri_rdf_type uri_owl_Class uri_owl_Class) True) (Eq True False)
% 9.59/9.78 Clause #34 (by clausification #[6]): ∀ (a : Iota), Eq (Iff (icext uri_rdfs_Class a) (ic a)) True
% 9.59/9.78 Clause #35 (by clausification #[34]): ∀ (a : Iota), Or (Eq (icext uri_rdfs_Class a) True) (Eq (ic a) False)
% 9.59/9.78 Clause #36 (by clausification #[34]): ∀ (a : Iota), Or (Eq (icext uri_rdfs_Class a) False) (Eq (ic a) True)
% 9.59/9.78 Clause #51 (by clausification #[8]): ∀ (a : Iota), Eq (Iff (icext uri_rdfs_Datatype a) (idc a)) True
% 9.59/9.78 Clause #53 (by clausification #[51]): ∀ (a : Iota), Or (Eq (icext uri_rdfs_Datatype a) False) (Eq (idc a) True)
% 9.59/9.78 Clause #58 (by clausification #[10]): ∀ (a : Iota), Eq (Iff (icext uri_owl_Thing a) (ir a)) True
% 9.59/9.78 Clause #59 (by clausification #[58]): ∀ (a : Iota), Or (Eq (icext uri_owl_Thing a) True) (Eq (ir a) False)
% 9.59/9.78 Clause #61 (by forward demodulation #[59, 14]): ∀ (a : Iota), Or (Eq (icext uri_owl_Thing a) True) (Eq True False)
% 9.59/9.78 Clause #62 (by clausification #[61]): ∀ (a : Iota), Eq (icext uri_owl_Thing a) True
% 9.59/9.78 Clause #63 (by superposition #[62, 17]): ∀ (a : Iota), Or (Eq (iext uri_rdf_type a uri_owl_Thing) True) (Eq True False)
% 9.59/9.78 Clause #65 (by clausification #[63]): ∀ (a : Iota), Eq (iext uri_rdf_type a uri_owl_Thing) True
% 9.59/9.78 Clause #67 (by clausification #[11]): ∀ (a : Iota),
% 9.59/9.81 Eq
% 9.59/9.81 (∀ (C2 : Iota),
% 9.59/9.81 Iff (iext uri_rdfs_subClassOf a C2) (And (And (ic a) (ic C2)) (∀ (X : Iota), icext a X → icext C2 X)))
% 9.59/9.81 True
% 9.59/9.81 Clause #68 (by clausification #[67]): ∀ (a a_1 : Iota),
% 9.59/9.81 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
% 9.59/9.81 Clause #69 (by clausification #[68]): ∀ (a a_1 : Iota),
% 9.59/9.81 Or (Eq (iext uri_rdfs_subClassOf a a_1) True)
% 9.59/9.81 (Eq (And (And (ic a) (ic a_1)) (∀ (X : Iota), icext a X → icext a_1 X)) False)
% 9.59/9.81 Clause #70 (by clausification #[68]): ∀ (a a_1 : Iota),
% 9.59/9.81 Or (Eq (iext uri_rdfs_subClassOf a a_1) False)
% 9.59/9.81 (Eq (And (And (ic a) (ic a_1)) (∀ (X : Iota), icext a X → icext a_1 X)) True)
% 9.59/9.81 Clause #71 (by clausification #[69]): ∀ (a a_1 : Iota),
% 9.59/9.81 Or (Eq (iext uri_rdfs_subClassOf a a_1) True)
% 9.59/9.81 (Or (Eq (And (ic a) (ic a_1)) False) (Eq (∀ (X : Iota), icext a X → icext a_1 X) False))
% 9.59/9.81 Clause #72 (by clausification #[71]): ∀ (a a_1 : Iota),
% 9.59/9.81 Or (Eq (iext uri_rdfs_subClassOf a a_1) True)
% 9.59/9.81 (Or (Eq (∀ (X : Iota), icext a X → icext a_1 X) False) (Or (Eq (ic a) False) (Eq (ic a_1) False)))
% 9.59/9.81 Clause #73 (by clausification #[72]): ∀ (a a_1 a_2 : Iota),
% 9.59/9.81 Or (Eq (iext uri_rdfs_subClassOf a a_1) True)
% 9.59/9.81 (Or (Eq (ic a) False)
% 9.59/9.81 (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)))
% 9.59/9.81 Clause #74 (by clausification #[73]): ∀ (a a_1 a_2 : Iota),
% 9.59/9.81 Or (Eq (iext uri_rdfs_subClassOf a a_1) True)
% 9.59/9.81 (Or (Eq (ic a) False)
% 9.59/9.81 (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)))
% 9.59/9.81 Clause #75 (by clausification #[74]): ∀ (a a_1 a_2 : Iota),
% 9.59/9.81 Or (Eq (iext uri_rdfs_subClassOf a a_1) True)
% 9.59/9.81 (Or (Eq (ic a) False) (Or (Eq (ic a_1) False) (Eq (icext a (skS.0 0 a a_1 a_2)) True)))
% 9.59/9.81 Clause #76 (by clausification #[74]): ∀ (a a_1 a_2 : Iota),
% 9.59/9.81 Or (Eq (iext uri_rdfs_subClassOf a a_1) True)
% 9.59/9.81 (Or (Eq (ic a) False) (Or (Eq (ic a_1) False) (Eq (icext a_1 (skS.0 0 a a_1 a_2)) False)))
% 9.59/9.81 Clause #78 (by superposition #[75, 7]): ∀ (a a_1 : Iota),
% 9.59/9.81 Or (Eq (iext uri_rdfs_subClassOf uri_rdfs_Datatype a) True)
% 9.59/9.81 (Or (Eq (ic a) False) (Or (Eq (icext uri_rdfs_Datatype (skS.0 0 uri_rdfs_Datatype a a_1)) True) (Eq False True)))
% 9.59/9.81 Clause #79 (by superposition #[75, 5]): ∀ (a a_1 : Iota),
% 9.59/9.81 Or (Eq (iext uri_rdfs_subClassOf uri_rdfs_Class a) True)
% 9.59/9.81 (Or (Eq (ic a) False) (Or (Eq (icext uri_rdfs_Class (skS.0 0 uri_rdfs_Class a a_1)) True) (Eq False True)))
% 9.59/9.81 Clause #82 (by clausification #[29]): Eq (iext uri_rdf_type uri_owl_Class uri_owl_Class) True
% 9.59/9.81 Clause #86 (by clausification #[12]): ∀ (a : Iota),
% 9.59/9.81 Eq
% 9.59/9.81 (∀ (C2 : Iota),
% 9.59/9.81 Iff (iext uri_owl_equivalentClass a C2) (And (And (ic a) (ic C2)) (∀ (X : Iota), Iff (icext a X) (icext C2 X))))
% 9.59/9.81 True
% 9.59/9.81 Clause #87 (by clausification #[86]): ∀ (a a_1 : Iota),
% 9.59/9.81 Eq
% 9.59/9.81 (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))))
% 9.59/9.81 True
% 9.59/9.81 Clause #88 (by clausification #[87]): ∀ (a a_1 : Iota),
% 9.59/9.81 Or (Eq (iext uri_owl_equivalentClass a a_1) True)
% 9.59/9.81 (Eq (And (And (ic a) (ic a_1)) (∀ (X : Iota), Iff (icext a X) (icext a_1 X))) False)
% 9.59/9.81 Clause #90 (by clausification #[88]): ∀ (a a_1 : Iota),
% 9.59/9.81 Or (Eq (iext uri_owl_equivalentClass a a_1) True)
% 9.59/9.81 (Or (Eq (And (ic a) (ic a_1)) False) (Eq (∀ (X : Iota), Iff (icext a X) (icext a_1 X)) False))
% 9.59/9.81 Clause #91 (by clausification #[90]): ∀ (a a_1 : Iota),
% 9.59/9.81 Or (Eq (iext uri_owl_equivalentClass a a_1) True)
% 9.59/9.81 (Or (Eq (∀ (X : Iota), Iff (icext a X) (icext a_1 X)) False) (Or (Eq (ic a) False) (Eq (ic a_1) False)))
% 9.59/9.81 Clause #92 (by clausification #[91]): ∀ (a a_1 a_2 : Iota),
% 9.59/9.81 Or (Eq (iext uri_owl_equivalentClass a a_1) True)
% 9.59/9.81 (Or (Eq (ic a) False)
% 9.59/9.81 (Or (Eq (ic a_1) False) (Eq (Not (Iff (icext a (skS.0 1 a a_1 a_2)) (icext a_1 (skS.0 1 a a_1 a_2)))) True)))
% 9.59/9.81 Clause #93 (by clausification #[92]): ∀ (a a_1 a_2 : Iota),
% 9.59/9.81 Or (Eq (iext uri_owl_equivalentClass a a_1) True)
% 9.59/9.81 (Or (Eq (ic a) False)
% 9.59/9.81 (Or (Eq (ic a_1) False) (Eq (Iff (icext a (skS.0 1 a a_1 a_2)) (icext a_1 (skS.0 1 a a_1 a_2))) False)))
% 9.59/9.82 Clause #94 (by clausification #[93]): ∀ (a a_1 a_2 : Iota),
% 9.59/9.82 Or (Eq (iext uri_owl_equivalentClass a a_1) True)
% 9.59/9.82 (Or (Eq (ic a) False)
% 9.59/9.82 (Or (Eq (ic a_1) False) (Or (Eq (icext a (skS.0 1 a a_1 a_2)) False) (Eq (icext a_1 (skS.0 1 a a_1 a_2)) False))))
% 9.59/9.82 Clause #95 (by clausification #[93]): ∀ (a a_1 a_2 : Iota),
% 9.59/9.82 Or (Eq (iext uri_owl_equivalentClass a a_1) True)
% 9.59/9.82 (Or (Eq (ic a) False)
% 9.59/9.82 (Or (Eq (ic a_1) False) (Or (Eq (icext a (skS.0 1 a a_1 a_2)) True) (Eq (icext a_1 (skS.0 1 a a_1 a_2)) True))))
% 9.59/9.82 Clause #99 (by superposition #[94, 3]): ∀ (a a_1 : Iota),
% 9.59/9.82 Or (Eq (iext uri_owl_equivalentClass uri_owl_Class a) True)
% 9.59/9.82 (Or (Eq (ic a) False)
% 9.59/9.82 (Or (Eq (icext uri_owl_Class (skS.0 1 uri_owl_Class a a_1)) False)
% 9.59/9.82 (Or (Eq (icext a (skS.0 1 uri_owl_Class a a_1)) False) (Eq False True))))
% 9.59/9.82 Clause #111 (by clausification #[13]): Eq
% 9.59/9.82 (And
% 9.59/9.82 (And
% 9.59/9.82 (And (And (iext uri_rdf_type uri_owl_Class uri_owl_Thing) (iext uri_rdf_type uri_owl_Class uri_owl_Class))
% 9.59/9.82 (iext uri_rdfs_subClassOf uri_owl_Class uri_owl_Thing))
% 9.59/9.82 (iext uri_owl_equivalentClass uri_owl_Class uri_rdfs_Class))
% 9.59/9.82 (iext uri_rdfs_subClassOf uri_rdfs_Datatype uri_owl_Class))
% 9.59/9.82 False
% 9.59/9.82 Clause #112 (by clausification #[111]): Or
% 9.59/9.82 (Eq
% 9.59/9.82 (And
% 9.59/9.82 (And (And (iext uri_rdf_type uri_owl_Class uri_owl_Thing) (iext uri_rdf_type uri_owl_Class uri_owl_Class))
% 9.59/9.82 (iext uri_rdfs_subClassOf uri_owl_Class uri_owl_Thing))
% 9.59/9.82 (iext uri_owl_equivalentClass uri_owl_Class uri_rdfs_Class))
% 9.59/9.82 False)
% 9.59/9.82 (Eq (iext uri_rdfs_subClassOf uri_rdfs_Datatype uri_owl_Class) False)
% 9.59/9.82 Clause #113 (by clausification #[112]): Or (Eq (iext uri_rdfs_subClassOf uri_rdfs_Datatype uri_owl_Class) False)
% 9.59/9.82 (Or
% 9.59/9.82 (Eq
% 9.59/9.82 (And (And (iext uri_rdf_type uri_owl_Class uri_owl_Thing) (iext uri_rdf_type uri_owl_Class uri_owl_Class))
% 9.59/9.82 (iext uri_rdfs_subClassOf uri_owl_Class uri_owl_Thing))
% 9.59/9.82 False)
% 9.59/9.82 (Eq (iext uri_owl_equivalentClass uri_owl_Class uri_rdfs_Class) False))
% 9.59/9.82 Clause #114 (by clausification #[113]): Or (Eq (iext uri_rdfs_subClassOf uri_rdfs_Datatype uri_owl_Class) False)
% 9.59/9.82 (Or (Eq (iext uri_owl_equivalentClass uri_owl_Class uri_rdfs_Class) False)
% 9.59/9.82 (Or (Eq (And (iext uri_rdf_type uri_owl_Class uri_owl_Thing) (iext uri_rdf_type uri_owl_Class uri_owl_Class)) False)
% 9.59/9.82 (Eq (iext uri_rdfs_subClassOf uri_owl_Class uri_owl_Thing) False)))
% 9.59/9.82 Clause #115 (by clausification #[114]): Or (Eq (iext uri_rdfs_subClassOf uri_rdfs_Datatype uri_owl_Class) False)
% 9.59/9.82 (Or (Eq (iext uri_owl_equivalentClass uri_owl_Class uri_rdfs_Class) False)
% 9.59/9.82 (Or (Eq (iext uri_rdfs_subClassOf uri_owl_Class uri_owl_Thing) False)
% 9.59/9.82 (Or (Eq (iext uri_rdf_type uri_owl_Class uri_owl_Thing) False)
% 9.59/9.82 (Eq (iext uri_rdf_type uri_owl_Class uri_owl_Class) False))))
% 9.59/9.82 Clause #116 (by forward demodulation #[115, 65]): Or (Eq (iext uri_rdfs_subClassOf uri_rdfs_Datatype uri_owl_Class) False)
% 9.59/9.82 (Or (Eq (iext uri_owl_equivalentClass uri_owl_Class uri_rdfs_Class) False)
% 9.59/9.82 (Or (Eq (iext uri_rdfs_subClassOf uri_owl_Class uri_owl_Thing) False)
% 9.59/9.82 (Or (Eq True False) (Eq (iext uri_rdf_type uri_owl_Class uri_owl_Class) False))))
% 9.59/9.82 Clause #117 (by clausification #[116]): Or (Eq (iext uri_rdfs_subClassOf uri_rdfs_Datatype uri_owl_Class) False)
% 9.59/9.82 (Or (Eq (iext uri_owl_equivalentClass uri_owl_Class uri_rdfs_Class) False)
% 9.59/9.82 (Or (Eq (iext uri_rdfs_subClassOf uri_owl_Class uri_owl_Thing) False)
% 9.59/9.82 (Eq (iext uri_rdf_type uri_owl_Class uri_owl_Class) False)))
% 9.59/9.82 Clause #118 (by forward demodulation #[117, 82]): Or (Eq (iext uri_rdfs_subClassOf uri_rdfs_Datatype uri_owl_Class) False)
% 9.59/9.82 (Or (Eq (iext uri_owl_equivalentClass uri_owl_Class uri_rdfs_Class) False)
% 9.59/9.82 (Or (Eq (iext uri_rdfs_subClassOf uri_owl_Class uri_owl_Thing) False) (Eq True False)))
% 9.59/9.82 Clause #119 (by clausification #[118]): Or (Eq (iext uri_rdfs_subClassOf uri_rdfs_Datatype uri_owl_Class) False)
% 9.59/9.82 (Or (Eq (iext uri_owl_equivalentClass uri_owl_Class uri_rdfs_Class) False)
% 9.59/9.82 (Eq (iext uri_rdfs_subClassOf uri_owl_Class uri_owl_Thing) False))
% 9.59/9.82 Clause #120 (by clausification #[70]): ∀ (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)
% 9.68/9.84 Clause #122 (by clausification #[120]): ∀ (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)
% 9.68/9.84 Clause #123 (by clausification #[122]): ∀ (a a_1 a_2 : Iota),
% 9.68/9.84 Or (Eq (iext uri_rdfs_subClassOf a a_1) False) (Or (Eq (icext a a_2) False) (Eq (icext a_1 a_2) True))
% 9.68/9.84 Clause #132 (by superposition #[76, 7]): ∀ (a a_1 : Iota),
% 9.68/9.84 Or (Eq (iext uri_rdfs_subClassOf uri_rdfs_Datatype a) True)
% 9.68/9.84 (Or (Eq (ic a) False) (Or (Eq (icext a (skS.0 0 uri_rdfs_Datatype a a_1)) False) (Eq False True)))
% 9.68/9.84 Clause #133 (by superposition #[76, 5]): ∀ (a a_1 : Iota),
% 9.68/9.84 Or (Eq (iext uri_rdfs_subClassOf uri_rdfs_Class a) True)
% 9.68/9.84 (Or (Eq (ic a) False) (Or (Eq (icext a (skS.0 0 uri_rdfs_Class a a_1)) False) (Eq False True)))
% 9.68/9.84 Clause #134 (by superposition #[76, 3]): ∀ (a a_1 : Iota),
% 9.68/9.84 Or (Eq (iext uri_rdfs_subClassOf uri_owl_Class a) True)
% 9.68/9.84 (Or (Eq (ic a) False) (Or (Eq (icext a (skS.0 0 uri_owl_Class a a_1)) False) (Eq False True)))
% 9.68/9.84 Clause #138 (by clausification #[133]): ∀ (a a_1 : Iota),
% 9.68/9.84 Or (Eq (iext uri_rdfs_subClassOf uri_rdfs_Class a) True)
% 9.68/9.84 (Or (Eq (ic a) False) (Eq (icext a (skS.0 0 uri_rdfs_Class a a_1)) False))
% 9.68/9.84 Clause #142 (by superposition #[138, 3]): ∀ (a : Iota),
% 9.68/9.84 Or (Eq (iext uri_rdfs_subClassOf uri_rdfs_Class uri_owl_Class) True)
% 9.68/9.84 (Or (Eq (icext uri_owl_Class (skS.0 0 uri_rdfs_Class uri_owl_Class a)) False) (Eq False True))
% 9.68/9.84 Clause #143 (by clausification #[78]): ∀ (a a_1 : Iota),
% 9.68/9.84 Or (Eq (iext uri_rdfs_subClassOf uri_rdfs_Datatype a) True)
% 9.68/9.84 (Or (Eq (ic a) False) (Eq (icext uri_rdfs_Datatype (skS.0 0 uri_rdfs_Datatype a a_1)) True))
% 9.68/9.84 Clause #147 (by superposition #[143, 3]): ∀ (a : Iota),
% 9.68/9.84 Or (Eq (iext uri_rdfs_subClassOf uri_rdfs_Datatype uri_owl_Class) True)
% 9.68/9.84 (Or (Eq (icext uri_rdfs_Datatype (skS.0 0 uri_rdfs_Datatype uri_owl_Class a)) True) (Eq False True))
% 9.68/9.84 Clause #148 (by clausification #[147]): ∀ (a : Iota),
% 9.68/9.84 Or (Eq (iext uri_rdfs_subClassOf uri_rdfs_Datatype uri_owl_Class) True)
% 9.68/9.84 (Eq (icext uri_rdfs_Datatype (skS.0 0 uri_rdfs_Datatype uri_owl_Class a)) True)
% 9.68/9.84 Clause #149 (by superposition #[148, 53]): ∀ (a : Iota),
% 9.68/9.84 Or (Eq (iext uri_rdfs_subClassOf uri_rdfs_Datatype uri_owl_Class) True)
% 9.68/9.84 (Or (Eq True False) (Eq (idc (skS.0 0 uri_rdfs_Datatype uri_owl_Class a)) True))
% 9.68/9.84 Clause #151 (by clausification #[149]): ∀ (a : Iota),
% 9.68/9.84 Or (Eq (iext uri_rdfs_subClassOf uri_rdfs_Datatype uri_owl_Class) True)
% 9.68/9.84 (Eq (idc (skS.0 0 uri_rdfs_Datatype uri_owl_Class a)) True)
% 9.68/9.84 Clause #152 (by superposition #[151, 20]): ∀ (a : Iota),
% 9.68/9.84 Or (Eq (iext uri_rdfs_subClassOf uri_rdfs_Datatype uri_owl_Class) True)
% 9.68/9.84 (Or (Eq True False) (Eq (ic (skS.0 0 uri_rdfs_Datatype uri_owl_Class a)) True))
% 9.68/9.84 Clause #154 (by clausification #[152]): ∀ (a : Iota),
% 9.68/9.84 Or (Eq (iext uri_rdfs_subClassOf uri_rdfs_Datatype uri_owl_Class) True)
% 9.68/9.84 (Eq (ic (skS.0 0 uri_rdfs_Datatype uri_owl_Class a)) True)
% 9.68/9.84 Clause #155 (by superposition #[154, 22]): ∀ (a : Iota),
% 9.68/9.84 Or (Eq (iext uri_rdfs_subClassOf uri_rdfs_Datatype uri_owl_Class) True)
% 9.68/9.84 (Or (Eq (icext uri_owl_Class (skS.0 0 uri_rdfs_Datatype uri_owl_Class a)) True) (Eq True False))
% 9.68/9.84 Clause #168 (by clausification #[79]): ∀ (a a_1 : Iota),
% 9.68/9.84 Or (Eq (iext uri_rdfs_subClassOf uri_rdfs_Class a) True)
% 9.68/9.84 (Or (Eq (ic a) False) (Eq (icext uri_rdfs_Class (skS.0 0 uri_rdfs_Class a a_1)) True))
% 9.68/9.84 Clause #172 (by superposition #[168, 3]): ∀ (a : Iota),
% 9.68/9.84 Or (Eq (iext uri_rdfs_subClassOf uri_rdfs_Class uri_owl_Class) True)
% 9.68/9.84 (Or (Eq (icext uri_rdfs_Class (skS.0 0 uri_rdfs_Class uri_owl_Class a)) True) (Eq False True))
% 9.68/9.84 Clause #225 (by superposition #[95, 3]): ∀ (a a_1 : Iota),
% 9.68/9.84 Or (Eq (iext uri_owl_equivalentClass uri_owl_Class a) True)
% 9.68/9.84 (Or (Eq (ic a) False)
% 9.68/9.84 (Or (Eq (icext uri_owl_Class (skS.0 1 uri_owl_Class a a_1)) True)
% 9.68/9.84 (Or (Eq (icext a (skS.0 1 uri_owl_Class a a_1)) True) (Eq False True))))
% 9.68/9.84 Clause #296 (by clausification #[142]): ∀ (a : Iota),
% 9.68/9.84 Or (Eq (iext uri_rdfs_subClassOf uri_rdfs_Class uri_owl_Class) True)
% 9.68/9.86 (Eq (icext uri_owl_Class (skS.0 0 uri_rdfs_Class uri_owl_Class a)) False)
% 9.68/9.86 Clause #313 (by clausification #[155]): ∀ (a : Iota),
% 9.68/9.86 Or (Eq (iext uri_rdfs_subClassOf uri_rdfs_Datatype uri_owl_Class) True)
% 9.68/9.86 (Eq (icext uri_owl_Class (skS.0 0 uri_rdfs_Datatype uri_owl_Class a)) True)
% 9.68/9.86 Clause #315 (by clausification #[99]): ∀ (a a_1 : Iota),
% 9.68/9.86 Or (Eq (iext uri_owl_equivalentClass uri_owl_Class a) True)
% 9.68/9.86 (Or (Eq (ic a) False)
% 9.68/9.86 (Or (Eq (icext uri_owl_Class (skS.0 1 uri_owl_Class a a_1)) False)
% 9.68/9.86 (Eq (icext a (skS.0 1 uri_owl_Class a a_1)) False)))
% 9.68/9.86 Clause #318 (by superposition #[315, 5]): ∀ (a : Iota),
% 9.68/9.86 Or (Eq (iext uri_owl_equivalentClass uri_owl_Class uri_rdfs_Class) True)
% 9.68/9.86 (Or (Eq (icext uri_owl_Class (skS.0 1 uri_owl_Class uri_rdfs_Class a)) False)
% 9.68/9.86 (Or (Eq (icext uri_rdfs_Class (skS.0 1 uri_owl_Class uri_rdfs_Class a)) False) (Eq False True)))
% 9.68/9.86 Clause #368 (by clausification #[132]): ∀ (a a_1 : Iota),
% 9.68/9.86 Or (Eq (iext uri_rdfs_subClassOf uri_rdfs_Datatype a) True)
% 9.68/9.86 (Or (Eq (ic a) False) (Eq (icext a (skS.0 0 uri_rdfs_Datatype a a_1)) False))
% 9.68/9.86 Clause #372 (by superposition #[368, 3]): ∀ (a : Iota),
% 9.68/9.86 Or (Eq (iext uri_rdfs_subClassOf uri_rdfs_Datatype uri_owl_Class) True)
% 9.68/9.86 (Or (Eq (icext uri_owl_Class (skS.0 0 uri_rdfs_Datatype uri_owl_Class a)) False) (Eq False True))
% 9.68/9.86 Clause #391 (by clausification #[134]): ∀ (a a_1 : Iota),
% 9.68/9.86 Or (Eq (iext uri_rdfs_subClassOf uri_owl_Class a) True)
% 9.68/9.86 (Or (Eq (ic a) False) (Eq (icext a (skS.0 0 uri_owl_Class a a_1)) False))
% 9.68/9.86 Clause #392 (by superposition #[391, 9]): ∀ (a : Iota),
% 9.68/9.86 Or (Eq (iext uri_rdfs_subClassOf uri_owl_Class uri_owl_Thing) True)
% 9.68/9.86 (Or (Eq (icext uri_owl_Thing (skS.0 0 uri_owl_Class uri_owl_Thing a)) False) (Eq False True))
% 9.68/9.86 Clause #456 (by clausification #[372]): ∀ (a : Iota),
% 9.68/9.86 Or (Eq (iext uri_rdfs_subClassOf uri_rdfs_Datatype uri_owl_Class) True)
% 9.68/9.86 (Eq (icext uri_owl_Class (skS.0 0 uri_rdfs_Datatype uri_owl_Class a)) False)
% 9.68/9.86 Clause #457 (by superposition #[456, 313]): Or (Eq (iext uri_rdfs_subClassOf uri_rdfs_Datatype uri_owl_Class) True)
% 9.68/9.86 (Or (Eq (iext uri_rdfs_subClassOf uri_rdfs_Datatype uri_owl_Class) True) (Eq False True))
% 9.68/9.86 Clause #458 (by clausification #[457]): Or (Eq (iext uri_rdfs_subClassOf uri_rdfs_Datatype uri_owl_Class) True)
% 9.68/9.86 (Eq (iext uri_rdfs_subClassOf uri_rdfs_Datatype uri_owl_Class) True)
% 9.68/9.86 Clause #459 (by eliminate duplicate literals #[458]): Eq (iext uri_rdfs_subClassOf uri_rdfs_Datatype uri_owl_Class) True
% 9.68/9.86 Clause #460 (by backward demodulation #[459, 119]): Or (Eq True False)
% 9.68/9.86 (Or (Eq (iext uri_owl_equivalentClass uri_owl_Class uri_rdfs_Class) False)
% 9.68/9.86 (Eq (iext uri_rdfs_subClassOf uri_owl_Class uri_owl_Thing) False))
% 9.68/9.86 Clause #476 (by clausification #[460]): Or (Eq (iext uri_owl_equivalentClass uri_owl_Class uri_rdfs_Class) False)
% 9.68/9.86 (Eq (iext uri_rdfs_subClassOf uri_owl_Class uri_owl_Thing) False)
% 9.68/9.86 Clause #484 (by clausification #[392]): ∀ (a : Iota),
% 9.68/9.86 Or (Eq (iext uri_rdfs_subClassOf uri_owl_Class uri_owl_Thing) True)
% 9.68/9.86 (Eq (icext uri_owl_Thing (skS.0 0 uri_owl_Class uri_owl_Thing a)) False)
% 9.68/9.86 Clause #485 (by superposition #[484, 62]): Or (Eq (iext uri_rdfs_subClassOf uri_owl_Class uri_owl_Thing) True) (Eq False True)
% 9.68/9.86 Clause #486 (by clausification #[485]): Eq (iext uri_rdfs_subClassOf uri_owl_Class uri_owl_Thing) True
% 9.68/9.86 Clause #490 (by backward demodulation #[486, 476]): Or (Eq (iext uri_owl_equivalentClass uri_owl_Class uri_rdfs_Class) False) (Eq True False)
% 9.68/9.86 Clause #493 (by clausification #[490]): Eq (iext uri_owl_equivalentClass uri_owl_Class uri_rdfs_Class) False
% 9.68/9.86 Clause #505 (by clausification #[172]): ∀ (a : Iota),
% 9.68/9.86 Or (Eq (iext uri_rdfs_subClassOf uri_rdfs_Class uri_owl_Class) True)
% 9.68/9.86 (Eq (icext uri_rdfs_Class (skS.0 0 uri_rdfs_Class uri_owl_Class a)) True)
% 9.68/9.86 Clause #506 (by superposition #[505, 36]): ∀ (a : Iota),
% 9.68/9.86 Or (Eq (iext uri_rdfs_subClassOf uri_rdfs_Class uri_owl_Class) True)
% 9.68/9.86 (Or (Eq True False) (Eq (ic (skS.0 0 uri_rdfs_Class uri_owl_Class a)) True))
% 9.68/9.86 Clause #508 (by clausification #[506]): ∀ (a : Iota),
% 9.68/9.86 Or (Eq (iext uri_rdfs_subClassOf uri_rdfs_Class uri_owl_Class) True)
% 9.68/9.88 (Eq (ic (skS.0 0 uri_rdfs_Class uri_owl_Class a)) True)
% 9.68/9.88 Clause #509 (by superposition #[508, 22]): ∀ (a : Iota),
% 9.68/9.88 Or (Eq (iext uri_rdfs_subClassOf uri_rdfs_Class uri_owl_Class) True)
% 9.68/9.88 (Or (Eq (icext uri_owl_Class (skS.0 0 uri_rdfs_Class uri_owl_Class a)) True) (Eq True False))
% 9.68/9.88 Clause #530 (by clausification #[509]): ∀ (a : Iota),
% 9.68/9.88 Or (Eq (iext uri_rdfs_subClassOf uri_rdfs_Class uri_owl_Class) True)
% 9.68/9.88 (Eq (icext uri_owl_Class (skS.0 0 uri_rdfs_Class uri_owl_Class a)) True)
% 9.68/9.88 Clause #531 (by superposition #[530, 296]): Or (Eq (iext uri_rdfs_subClassOf uri_rdfs_Class uri_owl_Class) True)
% 9.68/9.88 (Or (Eq (iext uri_rdfs_subClassOf uri_rdfs_Class uri_owl_Class) True) (Eq True False))
% 9.68/9.88 Clause #533 (by clausification #[531]): Or (Eq (iext uri_rdfs_subClassOf uri_rdfs_Class uri_owl_Class) True)
% 9.68/9.88 (Eq (iext uri_rdfs_subClassOf uri_rdfs_Class uri_owl_Class) True)
% 9.68/9.88 Clause #534 (by eliminate duplicate literals #[533]): Eq (iext uri_rdfs_subClassOf uri_rdfs_Class uri_owl_Class) True
% 9.68/9.88 Clause #539 (by superposition #[534, 123]): ∀ (a : Iota), Or (Eq True False) (Or (Eq (icext uri_rdfs_Class a) False) (Eq (icext uri_owl_Class a) True))
% 9.68/9.88 Clause #540 (by clausification #[539]): ∀ (a : Iota), Or (Eq (icext uri_rdfs_Class a) False) (Eq (icext uri_owl_Class a) True)
% 9.68/9.88 Clause #684 (by clausification #[318]): ∀ (a : Iota),
% 9.68/9.88 Or (Eq (iext uri_owl_equivalentClass uri_owl_Class uri_rdfs_Class) True)
% 9.68/9.88 (Or (Eq (icext uri_owl_Class (skS.0 1 uri_owl_Class uri_rdfs_Class a)) False)
% 9.68/9.88 (Eq (icext uri_rdfs_Class (skS.0 1 uri_owl_Class uri_rdfs_Class a)) False))
% 9.68/9.88 Clause #685 (by forward demodulation #[684, 493]): ∀ (a : Iota),
% 9.68/9.88 Or (Eq False True)
% 9.68/9.88 (Or (Eq (icext uri_owl_Class (skS.0 1 uri_owl_Class uri_rdfs_Class a)) False)
% 9.68/9.88 (Eq (icext uri_rdfs_Class (skS.0 1 uri_owl_Class uri_rdfs_Class a)) False))
% 9.68/9.88 Clause #686 (by clausification #[685]): ∀ (a : Iota),
% 9.68/9.88 Or (Eq (icext uri_owl_Class (skS.0 1 uri_owl_Class uri_rdfs_Class a)) False)
% 9.68/9.88 (Eq (icext uri_rdfs_Class (skS.0 1 uri_owl_Class uri_rdfs_Class a)) False)
% 9.68/9.88 Clause #922 (by clausification #[225]): ∀ (a a_1 : Iota),
% 9.68/9.88 Or (Eq (iext uri_owl_equivalentClass uri_owl_Class a) True)
% 9.68/9.88 (Or (Eq (ic a) False)
% 9.68/9.88 (Or (Eq (icext uri_owl_Class (skS.0 1 uri_owl_Class a a_1)) True)
% 9.68/9.88 (Eq (icext a (skS.0 1 uri_owl_Class a a_1)) True)))
% 9.68/9.88 Clause #925 (by superposition #[922, 5]): ∀ (a : Iota),
% 9.68/9.88 Or (Eq (iext uri_owl_equivalentClass uri_owl_Class uri_rdfs_Class) True)
% 9.68/9.88 (Or (Eq (icext uri_owl_Class (skS.0 1 uri_owl_Class uri_rdfs_Class a)) True)
% 9.68/9.88 (Or (Eq (icext uri_rdfs_Class (skS.0 1 uri_owl_Class uri_rdfs_Class a)) True) (Eq False True)))
% 9.68/9.88 Clause #1031 (by clausification #[925]): ∀ (a : Iota),
% 9.68/9.88 Or (Eq (iext uri_owl_equivalentClass uri_owl_Class uri_rdfs_Class) True)
% 9.68/9.88 (Or (Eq (icext uri_owl_Class (skS.0 1 uri_owl_Class uri_rdfs_Class a)) True)
% 9.68/9.88 (Eq (icext uri_rdfs_Class (skS.0 1 uri_owl_Class uri_rdfs_Class a)) True))
% 9.68/9.88 Clause #1032 (by forward demodulation #[1031, 493]): ∀ (a : Iota),
% 9.68/9.88 Or (Eq False True)
% 9.68/9.88 (Or (Eq (icext uri_owl_Class (skS.0 1 uri_owl_Class uri_rdfs_Class a)) True)
% 9.68/9.88 (Eq (icext uri_rdfs_Class (skS.0 1 uri_owl_Class uri_rdfs_Class a)) True))
% 9.68/9.88 Clause #1033 (by clausification #[1032]): ∀ (a : Iota),
% 9.68/9.88 Or (Eq (icext uri_owl_Class (skS.0 1 uri_owl_Class uri_rdfs_Class a)) True)
% 9.68/9.88 (Eq (icext uri_rdfs_Class (skS.0 1 uri_owl_Class uri_rdfs_Class a)) True)
% 9.68/9.88 Clause #1034 (by superposition #[1033, 36]): ∀ (a : Iota),
% 9.68/9.88 Or (Eq (icext uri_owl_Class (skS.0 1 uri_owl_Class uri_rdfs_Class a)) True)
% 9.68/9.88 (Or (Eq True False) (Eq (ic (skS.0 1 uri_owl_Class uri_rdfs_Class a)) True))
% 9.68/9.88 Clause #1037 (by clausification #[1034]): ∀ (a : Iota),
% 9.68/9.88 Or (Eq (icext uri_owl_Class (skS.0 1 uri_owl_Class uri_rdfs_Class a)) True)
% 9.68/9.88 (Eq (ic (skS.0 1 uri_owl_Class uri_rdfs_Class a)) True)
% 9.68/9.88 Clause #1039 (by superposition #[1037, 23]): ∀ (a : Iota),
% 9.68/9.88 Or (Eq (ic (skS.0 1 uri_owl_Class uri_rdfs_Class a)) True)
% 9.68/9.88 (Or (Eq True False) (Eq (ic (skS.0 1 uri_owl_Class uri_rdfs_Class a)) True))
% 9.68/9.88 Clause #1042 (by clausification #[1039]): ∀ (a : Iota),
% 9.74/9.89 Or (Eq (ic (skS.0 1 uri_owl_Class uri_rdfs_Class a)) True) (Eq (ic (skS.0 1 uri_owl_Class uri_rdfs_Class a)) True)
% 9.74/9.89 Clause #1043 (by eliminate duplicate literals #[1042]): ∀ (a : Iota), Eq (ic (skS.0 1 uri_owl_Class uri_rdfs_Class a)) True
% 9.74/9.89 Clause #1046 (by superposition #[1043, 35]): ∀ (a : Iota), Or (Eq (icext uri_rdfs_Class (skS.0 1 uri_owl_Class uri_rdfs_Class a)) True) (Eq True False)
% 9.74/9.89 Clause #1065 (by clausification #[1046]): ∀ (a : Iota), Eq (icext uri_rdfs_Class (skS.0 1 uri_owl_Class uri_rdfs_Class a)) True
% 9.74/9.89 Clause #1067 (by superposition #[1065, 540]): ∀ (a : Iota), Or (Eq True False) (Eq (icext uri_owl_Class (skS.0 1 uri_owl_Class uri_rdfs_Class a)) True)
% 9.74/9.89 Clause #1073 (by clausification #[1067]): ∀ (a : Iota), Eq (icext uri_owl_Class (skS.0 1 uri_owl_Class uri_rdfs_Class a)) True
% 9.74/9.89 Clause #1074 (by backward demodulation #[1073, 686]): ∀ (a : Iota), Or (Eq True False) (Eq (icext uri_rdfs_Class (skS.0 1 uri_owl_Class uri_rdfs_Class a)) False)
% 9.74/9.89 Clause #1077 (by clausification #[1074]): ∀ (a : Iota), Eq (icext uri_rdfs_Class (skS.0 1 uri_owl_Class uri_rdfs_Class a)) False
% 9.74/9.89 Clause #1078 (by superposition #[1077, 1065]): Eq False True
% 9.74/9.89 Clause #1079 (by clausification #[1078]): False
% 9.74/9.89 SZS output end Proof for theBenchmark.p
%------------------------------------------------------------------------------