TSTP Solution File: SWB009+2 by Duper---1.0
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%------------------------------------------------------------------------------
% File : Duper---1.0
% Problem : SWB009+2 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n021.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 20:03:56 EDT 2023
% Result : Theorem 3.76s 3.95s
% Output : Proof 3.76s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWB009+2 : TPTP v8.1.2. Released v5.2.0.
% 0.00/0.13 % Command : duper %s
% 0.14/0.34 % Computer : n021.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Sun Aug 27 07:06:57 EDT 2023
% 0.14/0.34 % CPUTime :
% 3.76/3.95 SZS status Theorem for theBenchmark.p
% 3.76/3.95 SZS output start Proof for theBenchmark.p
% 3.76/3.95 Clause #0 (by assumption #[]): Eq (∀ (X C : Iota), Iff (iext uri_rdf_type X C) (icext C X)) True
% 3.76/3.95 Clause #1 (by assumption #[]): Eq
% 3.76/3.95 (∀ (Z P C : Iota),
% 3.76/3.95 And (iext uri_owl_someValuesFrom Z C) (iext uri_owl_onProperty Z P) →
% 3.76/3.95 ∀ (X : Iota), Iff (icext Z X) (Exists fun Y => And (iext P X Y) (icext C Y)))
% 3.76/3.95 True
% 3.76/3.95 Clause #2 (by assumption #[]): Eq (Not (Exists fun BNODE_x => And (iext uri_ex_p uri_ex_s BNODE_x) (iext uri_rdf_type BNODE_x uri_ex_c))) True
% 3.76/3.95 Clause #3 (by assumption #[]): Eq
% 3.76/3.95 (Exists fun BNODE_z =>
% 3.76/3.95 And
% 3.76/3.95 (And
% 3.76/3.95 (And
% 3.76/3.95 (And (And (iext uri_rdf_type uri_ex_p uri_owl_ObjectProperty) (iext uri_rdf_type uri_ex_c uri_owl_Class))
% 3.76/3.95 (iext uri_rdf_type uri_ex_s BNODE_z))
% 3.76/3.95 (iext uri_rdf_type BNODE_z uri_owl_Restriction))
% 3.76/3.95 (iext uri_owl_onProperty BNODE_z uri_ex_p))
% 3.76/3.95 (iext uri_owl_someValuesFrom BNODE_z uri_ex_c))
% 3.76/3.95 True
% 3.76/3.95 Clause #4 (by clausification #[0]): ∀ (a : Iota), Eq (∀ (C : Iota), Iff (iext uri_rdf_type a C) (icext C a)) True
% 3.76/3.95 Clause #5 (by clausification #[4]): ∀ (a a_1 : Iota), Eq (Iff (iext uri_rdf_type a a_1) (icext a_1 a)) True
% 3.76/3.95 Clause #6 (by clausification #[5]): ∀ (a a_1 : Iota), Or (Eq (iext uri_rdf_type a a_1) True) (Eq (icext a_1 a) False)
% 3.76/3.95 Clause #7 (by clausification #[5]): ∀ (a a_1 : Iota), Or (Eq (iext uri_rdf_type a a_1) False) (Eq (icext a_1 a) True)
% 3.76/3.95 Clause #8 (by clausification #[2]): Eq (Exists fun BNODE_x => And (iext uri_ex_p uri_ex_s BNODE_x) (iext uri_rdf_type BNODE_x uri_ex_c)) False
% 3.76/3.95 Clause #9 (by clausification #[8]): ∀ (a : Iota), Eq (And (iext uri_ex_p uri_ex_s a) (iext uri_rdf_type a uri_ex_c)) False
% 3.76/3.95 Clause #10 (by clausification #[9]): ∀ (a : Iota), Or (Eq (iext uri_ex_p uri_ex_s a) False) (Eq (iext uri_rdf_type a uri_ex_c) False)
% 3.76/3.95 Clause #11 (by clausification #[1]): ∀ (a : Iota),
% 3.76/3.95 Eq
% 3.76/3.95 (∀ (P C : Iota),
% 3.76/3.95 And (iext uri_owl_someValuesFrom a C) (iext uri_owl_onProperty a P) →
% 3.76/3.95 ∀ (X : Iota), Iff (icext a X) (Exists fun Y => And (iext P X Y) (icext C Y)))
% 3.76/3.95 True
% 3.76/3.95 Clause #12 (by clausification #[11]): ∀ (a a_1 : Iota),
% 3.76/3.95 Eq
% 3.76/3.95 (∀ (C : Iota),
% 3.76/3.95 And (iext uri_owl_someValuesFrom a C) (iext uri_owl_onProperty a a_1) →
% 3.76/3.95 ∀ (X : Iota), Iff (icext a X) (Exists fun Y => And (iext a_1 X Y) (icext C Y)))
% 3.76/3.95 True
% 3.76/3.95 Clause #13 (by clausification #[12]): ∀ (a a_1 a_2 : Iota),
% 3.76/3.95 Eq
% 3.76/3.95 (And (iext uri_owl_someValuesFrom a a_1) (iext uri_owl_onProperty a a_2) →
% 3.76/3.95 ∀ (X : Iota), Iff (icext a X) (Exists fun Y => And (iext a_2 X Y) (icext a_1 Y)))
% 3.76/3.95 True
% 3.76/3.95 Clause #14 (by clausification #[13]): ∀ (a a_1 a_2 : Iota),
% 3.76/3.95 Or (Eq (And (iext uri_owl_someValuesFrom a a_1) (iext uri_owl_onProperty a a_2)) False)
% 3.76/3.95 (Eq (∀ (X : Iota), Iff (icext a X) (Exists fun Y => And (iext a_2 X Y) (icext a_1 Y))) True)
% 3.76/3.95 Clause #15 (by clausification #[14]): ∀ (a a_1 a_2 : Iota),
% 3.76/3.95 Or (Eq (∀ (X : Iota), Iff (icext a X) (Exists fun Y => And (iext a_1 X Y) (icext a_2 Y))) True)
% 3.76/3.95 (Or (Eq (iext uri_owl_someValuesFrom a a_2) False) (Eq (iext uri_owl_onProperty a a_1) False))
% 3.76/3.95 Clause #16 (by clausification #[15]): ∀ (a a_1 a_2 a_3 : Iota),
% 3.76/3.95 Or (Eq (iext uri_owl_someValuesFrom a a_1) False)
% 3.76/3.95 (Or (Eq (iext uri_owl_onProperty a a_2) False)
% 3.76/3.95 (Eq (Iff (icext a a_3) (Exists fun Y => And (iext a_2 a_3 Y) (icext a_1 Y))) True))
% 3.76/3.95 Clause #18 (by clausification #[16]): ∀ (a a_1 a_2 a_3 : Iota),
% 3.76/3.95 Or (Eq (iext uri_owl_someValuesFrom a a_1) False)
% 3.76/3.95 (Or (Eq (iext uri_owl_onProperty a a_2) False)
% 3.76/3.95 (Or (Eq (icext a a_3) False) (Eq (Exists fun Y => And (iext a_2 a_3 Y) (icext a_1 Y)) True)))
% 3.76/3.95 Clause #21 (by clausification #[18]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 3.76/3.95 Or (Eq (iext uri_owl_someValuesFrom a a_1) False)
% 3.76/3.95 (Or (Eq (iext uri_owl_onProperty a a_2) False)
% 3.76/3.95 (Or (Eq (icext a a_3) False)
% 3.76/3.95 (Eq (And (iext a_2 a_3 (skS.0 0 a_2 a_3 a_1 a_4)) (icext a_1 (skS.0 0 a_2 a_3 a_1 a_4))) True)))
% 3.76/3.95 Clause #22 (by clausification #[21]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 3.76/3.95 Or (Eq (iext uri_owl_someValuesFrom a a_1) False)
% 3.76/3.95 (Or (Eq (iext uri_owl_onProperty a a_2) False)
% 3.76/3.97 (Or (Eq (icext a a_3) False) (Eq (icext a_1 (skS.0 0 a_2 a_3 a_1 a_4)) True)))
% 3.76/3.97 Clause #23 (by clausification #[21]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 3.76/3.97 Or (Eq (iext uri_owl_someValuesFrom a a_1) False)
% 3.76/3.97 (Or (Eq (iext uri_owl_onProperty a a_2) False)
% 3.76/3.97 (Or (Eq (icext a a_3) False) (Eq (iext a_2 a_3 (skS.0 0 a_2 a_3 a_1 a_4)) True)))
% 3.76/3.97 Clause #24 (by clausification #[3]): ∀ (a : Iota),
% 3.76/3.97 Eq
% 3.76/3.97 (And
% 3.76/3.97 (And
% 3.76/3.97 (And
% 3.76/3.97 (And (And (iext uri_rdf_type uri_ex_p uri_owl_ObjectProperty) (iext uri_rdf_type uri_ex_c uri_owl_Class))
% 3.76/3.97 (iext uri_rdf_type uri_ex_s (skS.0 1 a)))
% 3.76/3.97 (iext uri_rdf_type (skS.0 1 a) uri_owl_Restriction))
% 3.76/3.97 (iext uri_owl_onProperty (skS.0 1 a) uri_ex_p))
% 3.76/3.97 (iext uri_owl_someValuesFrom (skS.0 1 a) uri_ex_c))
% 3.76/3.97 True
% 3.76/3.97 Clause #25 (by clausification #[24]): ∀ (a : Iota), Eq (iext uri_owl_someValuesFrom (skS.0 1 a) uri_ex_c) True
% 3.76/3.97 Clause #26 (by clausification #[24]): ∀ (a : Iota),
% 3.76/3.97 Eq
% 3.76/3.97 (And
% 3.76/3.97 (And
% 3.76/3.97 (And (And (iext uri_rdf_type uri_ex_p uri_owl_ObjectProperty) (iext uri_rdf_type uri_ex_c uri_owl_Class))
% 3.76/3.97 (iext uri_rdf_type uri_ex_s (skS.0 1 a)))
% 3.76/3.97 (iext uri_rdf_type (skS.0 1 a) uri_owl_Restriction))
% 3.76/3.97 (iext uri_owl_onProperty (skS.0 1 a) uri_ex_p))
% 3.76/3.97 True
% 3.76/3.97 Clause #28 (by superposition #[25, 22]): ∀ (a a_1 a_2 a_3 : Iota),
% 3.76/3.97 Or (Eq True False)
% 3.76/3.97 (Or (Eq (iext uri_owl_onProperty (skS.0 1 a) a_1) False)
% 3.76/3.97 (Or (Eq (icext (skS.0 1 a) a_2) False) (Eq (icext uri_ex_c (skS.0 0 a_1 a_2 uri_ex_c a_3)) True)))
% 3.76/3.97 Clause #29 (by superposition #[23, 25]): ∀ (a a_1 a_2 a_3 : Iota),
% 3.76/3.97 Or (Eq True False)
% 3.76/3.97 (Or (Eq (iext uri_owl_onProperty (skS.0 1 a) a_1) False)
% 3.76/3.97 (Or (Eq (icext (skS.0 1 a) a_2) False) (Eq (iext a_1 a_2 (skS.0 0 a_1 a_2 uri_ex_c a_3)) True)))
% 3.76/3.97 Clause #31 (by clausification #[28]): ∀ (a a_1 a_2 a_3 : Iota),
% 3.76/3.97 Or (Eq (iext uri_owl_onProperty (skS.0 1 a) a_1) False)
% 3.76/3.97 (Or (Eq (icext (skS.0 1 a) a_2) False) (Eq (icext uri_ex_c (skS.0 0 a_1 a_2 uri_ex_c a_3)) True))
% 3.76/3.97 Clause #32 (by clausification #[29]): ∀ (a a_1 a_2 a_3 : Iota),
% 3.76/3.97 Or (Eq (iext uri_owl_onProperty (skS.0 1 a) a_1) False)
% 3.76/3.97 (Or (Eq (icext (skS.0 1 a) a_2) False) (Eq (iext a_1 a_2 (skS.0 0 a_1 a_2 uri_ex_c a_3)) True))
% 3.76/3.97 Clause #33 (by clausification #[26]): ∀ (a : Iota), Eq (iext uri_owl_onProperty (skS.0 1 a) uri_ex_p) True
% 3.76/3.97 Clause #34 (by clausification #[26]): ∀ (a : Iota),
% 3.76/3.97 Eq
% 3.76/3.97 (And
% 3.76/3.97 (And (And (iext uri_rdf_type uri_ex_p uri_owl_ObjectProperty) (iext uri_rdf_type uri_ex_c uri_owl_Class))
% 3.76/3.97 (iext uri_rdf_type uri_ex_s (skS.0 1 a)))
% 3.76/3.97 (iext uri_rdf_type (skS.0 1 a) uri_owl_Restriction))
% 3.76/3.97 True
% 3.76/3.97 Clause #36 (by superposition #[33, 31]): ∀ (a a_1 a_2 : Iota),
% 3.76/3.97 Or (Eq True False)
% 3.76/3.97 (Or (Eq (icext (skS.0 1 a) a_1) False) (Eq (icext uri_ex_c (skS.0 0 uri_ex_p a_1 uri_ex_c a_2)) True))
% 3.76/3.97 Clause #37 (by superposition #[33, 32]): ∀ (a a_1 a_2 : Iota),
% 3.76/3.97 Or (Eq True False)
% 3.76/3.97 (Or (Eq (icext (skS.0 1 a) a_1) False) (Eq (iext uri_ex_p a_1 (skS.0 0 uri_ex_p a_1 uri_ex_c a_2)) True))
% 3.76/3.97 Clause #39 (by clausification #[34]): ∀ (a : Iota),
% 3.76/3.97 Eq
% 3.76/3.97 (And (And (iext uri_rdf_type uri_ex_p uri_owl_ObjectProperty) (iext uri_rdf_type uri_ex_c uri_owl_Class))
% 3.76/3.97 (iext uri_rdf_type uri_ex_s (skS.0 1 a)))
% 3.76/3.97 True
% 3.76/3.97 Clause #43 (by clausification #[39]): ∀ (a : Iota), Eq (iext uri_rdf_type uri_ex_s (skS.0 1 a)) True
% 3.76/3.97 Clause #45 (by superposition #[43, 7]): ∀ (a : Iota), Or (Eq True False) (Eq (icext (skS.0 1 a) uri_ex_s) True)
% 3.76/3.97 Clause #55 (by clausification #[45]): ∀ (a : Iota), Eq (icext (skS.0 1 a) uri_ex_s) True
% 3.76/3.97 Clause #57 (by clausification #[36]): ∀ (a a_1 a_2 : Iota),
% 3.76/3.97 Or (Eq (icext (skS.0 1 a) a_1) False) (Eq (icext uri_ex_c (skS.0 0 uri_ex_p a_1 uri_ex_c a_2)) True)
% 3.76/3.97 Clause #58 (by superposition #[57, 55]): ∀ (a : Iota), Or (Eq (icext uri_ex_c (skS.0 0 uri_ex_p uri_ex_s uri_ex_c a)) True) (Eq False True)
% 3.76/3.97 Clause #59 (by clausification #[58]): ∀ (a : Iota), Eq (icext uri_ex_c (skS.0 0 uri_ex_p uri_ex_s uri_ex_c a)) True
% 3.76/3.97 Clause #60 (by superposition #[59, 6]): ∀ (a : Iota), Or (Eq (iext uri_rdf_type (skS.0 0 uri_ex_p uri_ex_s uri_ex_c a) uri_ex_c) True) (Eq True False)
% 3.76/3.97 Clause #61 (by clausification #[60]): ∀ (a : Iota), Eq (iext uri_rdf_type (skS.0 0 uri_ex_p uri_ex_s uri_ex_c a) uri_ex_c) True
% 3.76/3.97 Clause #63 (by clausification #[37]): ∀ (a a_1 a_2 : Iota),
% 3.76/3.97 Or (Eq (icext (skS.0 1 a) a_1) False) (Eq (iext uri_ex_p a_1 (skS.0 0 uri_ex_p a_1 uri_ex_c a_2)) True)
% 3.76/3.97 Clause #64 (by superposition #[63, 55]): ∀ (a : Iota), Or (Eq (iext uri_ex_p uri_ex_s (skS.0 0 uri_ex_p uri_ex_s uri_ex_c a)) True) (Eq False True)
% 3.76/3.97 Clause #65 (by clausification #[64]): ∀ (a : Iota), Eq (iext uri_ex_p uri_ex_s (skS.0 0 uri_ex_p uri_ex_s uri_ex_c a)) True
% 3.76/3.97 Clause #66 (by superposition #[65, 10]): ∀ (a : Iota), Or (Eq True False) (Eq (iext uri_rdf_type (skS.0 0 uri_ex_p uri_ex_s uri_ex_c a) uri_ex_c) False)
% 3.76/3.97 Clause #68 (by clausification #[66]): ∀ (a : Iota), Eq (iext uri_rdf_type (skS.0 0 uri_ex_p uri_ex_s uri_ex_c a) uri_ex_c) False
% 3.76/3.97 Clause #69 (by superposition #[68, 61]): Eq False True
% 3.76/3.97 Clause #70 (by clausification #[69]): False
% 3.76/3.97 SZS output end Proof for theBenchmark.p
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