TSTP Solution File: SWB031+2 by Duper---1.0
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%------------------------------------------------------------------------------
% File : Duper---1.0
% Problem : SWB031+2 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n008.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 20:04:10 EDT 2023
% Result : Unsatisfiable 3.88s 4.14s
% Output : Proof 3.88s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWB031+2 : TPTP v8.1.2. Released v5.2.0.
% 0.00/0.13 % Command : duper %s
% 0.13/0.34 % Computer : n008.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 06:19:32 EDT 2023
% 0.13/0.34 % CPUTime :
% 3.88/4.14 SZS status Theorem for theBenchmark.p
% 3.88/4.14 SZS output start Proof for theBenchmark.p
% 3.88/4.14 Clause #0 (by assumption #[]): Eq (∀ (X : Iota), ir X) True
% 3.88/4.14 Clause #1 (by assumption #[]): Eq (∀ (X : Iota), Iff (icext uri_owl_Thing X) (ir X)) True
% 3.88/4.14 Clause #2 (by assumption #[]): Eq (∀ (X : Iota), Not (icext uri_owl_Nothing X)) True
% 3.88/4.14 Clause #3 (by assumption #[]): Eq
% 3.88/4.14 (∀ (Z S1 A1 : Iota),
% 3.88/4.14 And (iext uri_rdf_first S1 A1) (iext uri_rdf_rest S1 uri_rdf_nil) →
% 3.88/4.14 Iff (iext uri_owl_oneOf Z S1) (And (ic Z) (∀ (X : Iota), Iff (icext Z X) (Eq X A1))))
% 3.88/4.14 True
% 3.88/4.14 Clause #4 (by assumption #[]): Eq
% 3.88/4.14 (∀ (C1 C2 : Iota),
% 3.88/4.14 Iff (iext uri_owl_equivalentClass C1 C2) (And (And (ic C1) (ic C2)) (∀ (X : Iota), Iff (icext C1 X) (icext C2 X))))
% 3.88/4.14 True
% 3.88/4.14 Clause #5 (by assumption #[]): Eq
% 3.88/4.14 (Exists fun BNODE_x =>
% 3.88/4.14 Exists fun BNODE_l =>
% 3.88/4.14 And
% 3.88/4.14 (And (And (iext uri_owl_equivalentClass uri_owl_Thing BNODE_x) (iext uri_owl_oneOf BNODE_x BNODE_l))
% 3.88/4.14 (iext uri_rdf_first BNODE_l uri_ex_w))
% 3.88/4.14 (iext uri_rdf_rest BNODE_l uri_rdf_nil))
% 3.88/4.14 True
% 3.88/4.14 Clause #6 (by clausification #[0]): ∀ (a : Iota), Eq (ir a) True
% 3.88/4.14 Clause #7 (by clausification #[2]): ∀ (a : Iota), Eq (Not (icext uri_owl_Nothing a)) True
% 3.88/4.14 Clause #8 (by clausification #[7]): ∀ (a : Iota), Eq (icext uri_owl_Nothing a) False
% 3.88/4.14 Clause #9 (by clausification #[1]): ∀ (a : Iota), Eq (Iff (icext uri_owl_Thing a) (ir a)) True
% 3.88/4.14 Clause #10 (by clausification #[9]): ∀ (a : Iota), Or (Eq (icext uri_owl_Thing a) True) (Eq (ir a) False)
% 3.88/4.14 Clause #12 (by forward demodulation #[10, 6]): ∀ (a : Iota), Or (Eq (icext uri_owl_Thing a) True) (Eq True False)
% 3.88/4.14 Clause #13 (by clausification #[12]): ∀ (a : Iota), Eq (icext uri_owl_Thing a) True
% 3.88/4.14 Clause #15 (by clausification #[3]): ∀ (a : Iota),
% 3.88/4.14 Eq
% 3.88/4.14 (∀ (S1 A1 : Iota),
% 3.88/4.14 And (iext uri_rdf_first S1 A1) (iext uri_rdf_rest S1 uri_rdf_nil) →
% 3.88/4.14 Iff (iext uri_owl_oneOf a S1) (And (ic a) (∀ (X : Iota), Iff (icext a X) (Eq X A1))))
% 3.88/4.14 True
% 3.88/4.14 Clause #16 (by clausification #[15]): ∀ (a a_1 : Iota),
% 3.88/4.14 Eq
% 3.88/4.14 (∀ (A1 : Iota),
% 3.88/4.14 And (iext uri_rdf_first a A1) (iext uri_rdf_rest a uri_rdf_nil) →
% 3.88/4.14 Iff (iext uri_owl_oneOf a_1 a) (And (ic a_1) (∀ (X : Iota), Iff (icext a_1 X) (Eq X A1))))
% 3.88/4.14 True
% 3.88/4.14 Clause #17 (by clausification #[16]): ∀ (a a_1 a_2 : Iota),
% 3.88/4.14 Eq
% 3.88/4.14 (And (iext uri_rdf_first a a_1) (iext uri_rdf_rest a uri_rdf_nil) →
% 3.88/4.14 Iff (iext uri_owl_oneOf a_2 a) (And (ic a_2) (∀ (X : Iota), Iff (icext a_2 X) (Eq X a_1))))
% 3.88/4.14 True
% 3.88/4.14 Clause #18 (by clausification #[17]): ∀ (a a_1 a_2 : Iota),
% 3.88/4.14 Or (Eq (And (iext uri_rdf_first a a_1) (iext uri_rdf_rest a uri_rdf_nil)) False)
% 3.88/4.14 (Eq (Iff (iext uri_owl_oneOf a_2 a) (And (ic a_2) (∀ (X : Iota), Iff (icext a_2 X) (Eq X a_1)))) True)
% 3.88/4.14 Clause #19 (by clausification #[18]): ∀ (a a_1 a_2 : Iota),
% 3.88/4.14 Or (Eq (Iff (iext uri_owl_oneOf a a_1) (And (ic a) (∀ (X : Iota), Iff (icext a X) (Eq X a_2)))) True)
% 3.88/4.14 (Or (Eq (iext uri_rdf_first a_1 a_2) False) (Eq (iext uri_rdf_rest a_1 uri_rdf_nil) False))
% 3.88/4.14 Clause #21 (by clausification #[19]): ∀ (a a_1 a_2 : Iota),
% 3.88/4.14 Or (Eq (iext uri_rdf_first a a_1) False)
% 3.88/4.14 (Or (Eq (iext uri_rdf_rest a uri_rdf_nil) False)
% 3.88/4.14 (Or (Eq (iext uri_owl_oneOf a_2 a) False) (Eq (And (ic a_2) (∀ (X : Iota), Iff (icext a_2 X) (Eq X a_1))) True)))
% 3.88/4.14 Clause #28 (by clausification #[4]): ∀ (a : Iota),
% 3.88/4.14 Eq
% 3.88/4.14 (∀ (C2 : Iota),
% 3.88/4.14 Iff (iext uri_owl_equivalentClass a C2) (And (And (ic a) (ic C2)) (∀ (X : Iota), Iff (icext a X) (icext C2 X))))
% 3.88/4.14 True
% 3.88/4.14 Clause #29 (by clausification #[28]): ∀ (a a_1 : Iota),
% 3.88/4.14 Eq
% 3.88/4.14 (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))))
% 3.88/4.14 True
% 3.88/4.14 Clause #31 (by clausification #[29]): ∀ (a a_1 : Iota),
% 3.88/4.14 Or (Eq (iext uri_owl_equivalentClass a a_1) False)
% 3.88/4.14 (Eq (And (And (ic a) (ic a_1)) (∀ (X : Iota), Iff (icext a X) (icext a_1 X))) True)
% 3.88/4.14 Clause #38 (by clausification #[31]): ∀ (a a_1 : Iota),
% 3.88/4.14 Or (Eq (iext uri_owl_equivalentClass a a_1) False) (Eq (∀ (X : Iota), Iff (icext a X) (icext a_1 X)) True)
% 3.88/4.14 Clause #40 (by clausification #[38]): ∀ (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)
% 3.88/4.16 Clause #42 (by clausification #[40]): ∀ (a a_1 a_2 : Iota),
% 3.88/4.16 Or (Eq (iext uri_owl_equivalentClass a a_1) False) (Or (Eq (icext a a_2) False) (Eq (icext a_1 a_2) True))
% 3.88/4.16 Clause #45 (by clausification #[5]): ∀ (a : Iota),
% 3.88/4.16 Eq
% 3.88/4.16 (Exists fun BNODE_l =>
% 3.88/4.16 And
% 3.88/4.16 (And (And (iext uri_owl_equivalentClass uri_owl_Thing (skS.0 2 a)) (iext uri_owl_oneOf (skS.0 2 a) BNODE_l))
% 3.88/4.16 (iext uri_rdf_first BNODE_l uri_ex_w))
% 3.88/4.16 (iext uri_rdf_rest BNODE_l uri_rdf_nil))
% 3.88/4.16 True
% 3.88/4.16 Clause #46 (by clausification #[45]): ∀ (a a_1 : Iota),
% 3.88/4.16 Eq
% 3.88/4.16 (And
% 3.88/4.16 (And
% 3.88/4.16 (And (iext uri_owl_equivalentClass uri_owl_Thing (skS.0 2 a)) (iext uri_owl_oneOf (skS.0 2 a) (skS.0 3 a a_1)))
% 3.88/4.16 (iext uri_rdf_first (skS.0 3 a a_1) uri_ex_w))
% 3.88/4.16 (iext uri_rdf_rest (skS.0 3 a a_1) uri_rdf_nil))
% 3.88/4.16 True
% 3.88/4.16 Clause #47 (by clausification #[46]): ∀ (a a_1 : Iota), Eq (iext uri_rdf_rest (skS.0 3 a a_1) uri_rdf_nil) True
% 3.88/4.16 Clause #48 (by clausification #[46]): ∀ (a a_1 : Iota),
% 3.88/4.16 Eq
% 3.88/4.16 (And (And (iext uri_owl_equivalentClass uri_owl_Thing (skS.0 2 a)) (iext uri_owl_oneOf (skS.0 2 a) (skS.0 3 a a_1)))
% 3.88/4.16 (iext uri_rdf_first (skS.0 3 a a_1) uri_ex_w))
% 3.88/4.16 True
% 3.88/4.16 Clause #49 (by clausification #[21]): ∀ (a a_1 a_2 : Iota),
% 3.88/4.16 Or (Eq (iext uri_rdf_first a a_1) False)
% 3.88/4.16 (Or (Eq (iext uri_rdf_rest a uri_rdf_nil) False)
% 3.88/4.16 (Or (Eq (iext uri_owl_oneOf a_2 a) False) (Eq (∀ (X : Iota), Iff (icext a_2 X) (Eq X a_1)) True)))
% 3.88/4.16 Clause #51 (by clausification #[49]): ∀ (a a_1 a_2 a_3 : Iota),
% 3.88/4.16 Or (Eq (iext uri_rdf_first a a_1) False)
% 3.88/4.16 (Or (Eq (iext uri_rdf_rest a uri_rdf_nil) False)
% 3.88/4.16 (Or (Eq (iext uri_owl_oneOf a_2 a) False) (Eq (Iff (icext a_2 a_3) (Eq a_3 a_1)) True)))
% 3.88/4.16 Clause #53 (by clausification #[51]): ∀ (a a_1 a_2 a_3 : Iota),
% 3.88/4.16 Or (Eq (iext uri_rdf_first a a_1) False)
% 3.88/4.16 (Or (Eq (iext uri_rdf_rest a uri_rdf_nil) False)
% 3.88/4.16 (Or (Eq (iext uri_owl_oneOf a_2 a) False) (Or (Eq (icext a_2 a_3) False) (Eq (Eq a_3 a_1) True))))
% 3.88/4.16 Clause #56 (by clausification #[53]): ∀ (a a_1 a_2 a_3 : Iota),
% 3.88/4.16 Or (Eq (iext uri_rdf_first a a_1) False)
% 3.88/4.16 (Or (Eq (iext uri_rdf_rest a uri_rdf_nil) False)
% 3.88/4.16 (Or (Eq (iext uri_owl_oneOf a_2 a) False) (Or (Eq (icext a_2 a_3) False) (Eq a_3 a_1))))
% 3.88/4.16 Clause #57 (by clausification #[48]): ∀ (a a_1 : Iota), Eq (iext uri_rdf_first (skS.0 3 a a_1) uri_ex_w) True
% 3.88/4.16 Clause #58 (by clausification #[48]): ∀ (a a_1 : Iota),
% 3.88/4.16 Eq (And (iext uri_owl_equivalentClass uri_owl_Thing (skS.0 2 a)) (iext uri_owl_oneOf (skS.0 2 a) (skS.0 3 a a_1)))
% 3.88/4.16 True
% 3.88/4.16 Clause #62 (by superposition #[57, 56]): ∀ (a a_1 a_2 a_3 : Iota),
% 3.88/4.16 Or (Eq True False)
% 3.88/4.16 (Or (Eq (iext uri_rdf_rest (skS.0 3 a a_1) uri_rdf_nil) False)
% 3.88/4.16 (Or (Eq (iext uri_owl_oneOf a_2 (skS.0 3 a a_1)) False) (Or (Eq (icext a_2 a_3) False) (Eq a_3 uri_ex_w))))
% 3.88/4.16 Clause #63 (by clausification #[58]): ∀ (a a_1 : Iota), Eq (iext uri_owl_oneOf (skS.0 2 a) (skS.0 3 a a_1)) True
% 3.88/4.16 Clause #64 (by clausification #[58]): ∀ (a : Iota), Eq (iext uri_owl_equivalentClass uri_owl_Thing (skS.0 2 a)) True
% 3.88/4.16 Clause #70 (by superposition #[64, 42]): ∀ (a a_1 : Iota), Or (Eq True False) (Or (Eq (icext uri_owl_Thing a) False) (Eq (icext (skS.0 2 a_1) a) True))
% 3.88/4.16 Clause #79 (by clausification #[70]): ∀ (a a_1 : Iota), Or (Eq (icext uri_owl_Thing a) False) (Eq (icext (skS.0 2 a_1) a) True)
% 3.88/4.16 Clause #80 (by forward demodulation #[79, 13]): ∀ (a a_1 : Iota), Or (Eq True False) (Eq (icext (skS.0 2 a) a_1) True)
% 3.88/4.16 Clause #81 (by clausification #[80]): ∀ (a a_1 : Iota), Eq (icext (skS.0 2 a) a_1) True
% 3.88/4.16 Clause #96 (by clausification #[62]): ∀ (a a_1 a_2 a_3 : Iota),
% 3.88/4.16 Or (Eq (iext uri_rdf_rest (skS.0 3 a a_1) uri_rdf_nil) False)
% 3.88/4.16 (Or (Eq (iext uri_owl_oneOf a_2 (skS.0 3 a a_1)) False) (Or (Eq (icext a_2 a_3) False) (Eq a_3 uri_ex_w)))
% 3.88/4.16 Clause #97 (by forward demodulation #[96, 47]): ∀ (a a_1 a_2 a_3 : Iota),
% 3.88/4.16 Or (Eq True False)
% 3.88/4.16 (Or (Eq (iext uri_owl_oneOf a (skS.0 3 a_1 a_2)) False) (Or (Eq (icext a a_3) False) (Eq a_3 uri_ex_w)))
% 3.88/4.16 Clause #98 (by clausification #[97]): ∀ (a a_1 a_2 a_3 : Iota),
% 3.88/4.17 Or (Eq (iext uri_owl_oneOf a (skS.0 3 a_1 a_2)) False) (Or (Eq (icext a a_3) False) (Eq a_3 uri_ex_w))
% 3.88/4.17 Clause #99 (by superposition #[98, 63]): ∀ (a a_1 : Iota), Or (Eq (icext (skS.0 2 a) a_1) False) (Or (Eq a_1 uri_ex_w) (Eq False True))
% 3.88/4.17 Clause #105 (by clausification #[99]): ∀ (a a_1 : Iota), Or (Eq (icext (skS.0 2 a) a_1) False) (Eq a_1 uri_ex_w)
% 3.88/4.17 Clause #106 (by superposition #[105, 81]): ∀ (a : Iota), Or (Eq a uri_ex_w) (Eq False True)
% 3.88/4.17 Clause #107 (by clausification #[106]): ∀ (a : Iota), Eq a uri_ex_w
% 3.88/4.17 Clause #119 (by superposition #[107, 107]): ∀ (a a_1 : Iota), Eq a a_1
% 3.88/4.17 Clause #122 (by superposition #[119, 13]): ∀ (a a_1 : Iota), Eq (icext a a_1) True
% 3.88/4.17 Clause #158 (by superposition #[122, 8]): Eq True False
% 3.88/4.17 Clause #159 (by clausification #[158]): False
% 3.88/4.17 SZS output end Proof for theBenchmark.p
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