TSTP Solution File: SWB030+2 by Duper---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Duper---1.0
% Problem : SWB030+2 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n002.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 3.69s 3.92s
% Output : Proof 3.69s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWB030+2 : TPTP v8.1.2. Released v5.2.0.
% 0.07/0.14 % Command : duper %s
% 0.14/0.35 % Computer : n002.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sun Aug 27 06:58:48 EDT 2023
% 0.14/0.35 % CPUTime :
% 3.69/3.92 SZS status Theorem for theBenchmark.p
% 3.69/3.92 SZS output start Proof for theBenchmark.p
% 3.69/3.92 Clause #0 (by assumption #[]): Eq (∀ (X C : Iota), Iff (iext uri_rdf_type X C) (icext C X)) True
% 3.69/3.92 Clause #1 (by assumption #[]): Eq
% 3.69/3.92 (∀ (Z P V : Iota),
% 3.69/3.92 And (iext uri_owl_hasSelf Z V) (iext uri_owl_onProperty Z P) → ∀ (X : Iota), Iff (icext Z X) (iext P X X))
% 3.69/3.92 True
% 3.69/3.92 Clause #2 (by assumption #[]): Eq
% 3.69/3.92 (∀ (Z C : Iota),
% 3.69/3.92 iext uri_owl_complementOf Z C → And (And (ic Z) (ic C)) (∀ (X : Iota), Iff (icext Z X) (Not (icext C X))))
% 3.69/3.92 True
% 3.69/3.92 Clause #3 (by assumption #[]): Eq
% 3.69/3.92 (Exists fun BNODE_x =>
% 3.69/3.92 And
% 3.69/3.92 (And
% 3.69/3.92 (And (And (iext uri_rdf_type uri_ex_c uri_owl_Class) (iext uri_owl_complementOf uri_ex_c BNODE_x))
% 3.69/3.92 (iext uri_rdf_type BNODE_x uri_owl_Restriction))
% 3.69/3.92 (iext uri_owl_onProperty BNODE_x uri_rdf_type))
% 3.69/3.92 (iext uri_owl_hasSelf BNODE_x (literal_typed dat_str_true uri_xsd_boolean)))
% 3.69/3.92 True
% 3.69/3.92 Clause #4 (by clausification #[0]): ∀ (a : Iota), Eq (∀ (C : Iota), Iff (iext uri_rdf_type a C) (icext C a)) True
% 3.69/3.92 Clause #5 (by clausification #[4]): ∀ (a a_1 : Iota), Eq (Iff (iext uri_rdf_type a a_1) (icext a_1 a)) True
% 3.69/3.92 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)
% 3.69/3.92 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)
% 3.69/3.92 Clause #8 (by clausification #[1]): ∀ (a : Iota),
% 3.69/3.92 Eq
% 3.69/3.92 (∀ (P V : Iota),
% 3.69/3.92 And (iext uri_owl_hasSelf a V) (iext uri_owl_onProperty a P) → ∀ (X : Iota), Iff (icext a X) (iext P X X))
% 3.69/3.92 True
% 3.69/3.92 Clause #9 (by clausification #[8]): ∀ (a a_1 : Iota),
% 3.69/3.92 Eq
% 3.69/3.92 (∀ (V : Iota),
% 3.69/3.92 And (iext uri_owl_hasSelf a V) (iext uri_owl_onProperty a a_1) → ∀ (X : Iota), Iff (icext a X) (iext a_1 X X))
% 3.69/3.92 True
% 3.69/3.92 Clause #10 (by clausification #[9]): ∀ (a a_1 a_2 : Iota),
% 3.69/3.92 Eq (And (iext uri_owl_hasSelf a a_1) (iext uri_owl_onProperty a a_2) → ∀ (X : Iota), Iff (icext a X) (iext a_2 X X))
% 3.69/3.92 True
% 3.69/3.92 Clause #11 (by clausification #[10]): ∀ (a a_1 a_2 : Iota),
% 3.69/3.92 Or (Eq (And (iext uri_owl_hasSelf a a_1) (iext uri_owl_onProperty a a_2)) False)
% 3.69/3.92 (Eq (∀ (X : Iota), Iff (icext a X) (iext a_2 X X)) True)
% 3.69/3.92 Clause #12 (by clausification #[11]): ∀ (a a_1 a_2 : Iota),
% 3.69/3.92 Or (Eq (∀ (X : Iota), Iff (icext a X) (iext a_1 X X)) True)
% 3.69/3.92 (Or (Eq (iext uri_owl_hasSelf a a_2) False) (Eq (iext uri_owl_onProperty a a_1) False))
% 3.69/3.92 Clause #13 (by clausification #[12]): ∀ (a a_1 a_2 a_3 : Iota),
% 3.69/3.92 Or (Eq (iext uri_owl_hasSelf a a_1) False)
% 3.69/3.92 (Or (Eq (iext uri_owl_onProperty a a_2) False) (Eq (Iff (icext a a_3) (iext a_2 a_3 a_3)) True))
% 3.69/3.92 Clause #14 (by clausification #[13]): ∀ (a a_1 a_2 a_3 : Iota),
% 3.69/3.92 Or (Eq (iext uri_owl_hasSelf a a_1) False)
% 3.69/3.92 (Or (Eq (iext uri_owl_onProperty a a_2) False) (Or (Eq (icext a a_3) True) (Eq (iext a_2 a_3 a_3) False)))
% 3.69/3.92 Clause #15 (by clausification #[13]): ∀ (a a_1 a_2 a_3 : Iota),
% 3.69/3.92 Or (Eq (iext uri_owl_hasSelf a a_1) False)
% 3.69/3.92 (Or (Eq (iext uri_owl_onProperty a a_2) False) (Or (Eq (icext a a_3) False) (Eq (iext a_2 a_3 a_3) True)))
% 3.69/3.92 Clause #16 (by clausification #[2]): ∀ (a : Iota),
% 3.69/3.92 Eq
% 3.69/3.92 (∀ (C : Iota),
% 3.69/3.92 iext uri_owl_complementOf a C → And (And (ic a) (ic C)) (∀ (X : Iota), Iff (icext a X) (Not (icext C X))))
% 3.69/3.92 True
% 3.69/3.92 Clause #17 (by clausification #[16]): ∀ (a a_1 : Iota),
% 3.69/3.92 Eq (iext uri_owl_complementOf a a_1 → And (And (ic a) (ic a_1)) (∀ (X : Iota), Iff (icext a X) (Not (icext a_1 X))))
% 3.69/3.92 True
% 3.69/3.92 Clause #18 (by clausification #[17]): ∀ (a a_1 : Iota),
% 3.69/3.92 Or (Eq (iext uri_owl_complementOf a a_1) False)
% 3.69/3.92 (Eq (And (And (ic a) (ic a_1)) (∀ (X : Iota), Iff (icext a X) (Not (icext a_1 X)))) True)
% 3.69/3.92 Clause #19 (by clausification #[18]): ∀ (a a_1 : Iota),
% 3.69/3.92 Or (Eq (iext uri_owl_complementOf a a_1) False) (Eq (∀ (X : Iota), Iff (icext a X) (Not (icext a_1 X))) True)
% 3.69/3.92 Clause #21 (by clausification #[19]): ∀ (a a_1 a_2 : Iota),
% 3.69/3.92 Or (Eq (iext uri_owl_complementOf a a_1) False) (Eq (Iff (icext a a_2) (Not (icext a_1 a_2))) True)
% 3.69/3.92 Clause #22 (by clausification #[21]): ∀ (a a_1 a_2 : Iota),
% 3.69/3.92 Or (Eq (iext uri_owl_complementOf a a_1) False) (Or (Eq (icext a a_2) True) (Eq (Not (icext a_1 a_2)) False))
% 3.69/3.94 Clause #23 (by clausification #[21]): ∀ (a a_1 a_2 : Iota),
% 3.69/3.94 Or (Eq (iext uri_owl_complementOf a a_1) False) (Or (Eq (icext a a_2) False) (Eq (Not (icext a_1 a_2)) True))
% 3.69/3.94 Clause #24 (by clausification #[22]): ∀ (a a_1 a_2 : Iota),
% 3.69/3.94 Or (Eq (iext uri_owl_complementOf a a_1) False) (Or (Eq (icext a a_2) True) (Eq (icext a_1 a_2) True))
% 3.69/3.94 Clause #25 (by clausification #[3]): ∀ (a : Iota),
% 3.69/3.94 Eq
% 3.69/3.94 (And
% 3.69/3.94 (And
% 3.69/3.94 (And (And (iext uri_rdf_type uri_ex_c uri_owl_Class) (iext uri_owl_complementOf uri_ex_c (skS.0 0 a)))
% 3.69/3.94 (iext uri_rdf_type (skS.0 0 a) uri_owl_Restriction))
% 3.69/3.94 (iext uri_owl_onProperty (skS.0 0 a) uri_rdf_type))
% 3.69/3.94 (iext uri_owl_hasSelf (skS.0 0 a) (literal_typed dat_str_true uri_xsd_boolean)))
% 3.69/3.94 True
% 3.69/3.94 Clause #26 (by clausification #[25]): ∀ (a : Iota), Eq (iext uri_owl_hasSelf (skS.0 0 a) (literal_typed dat_str_true uri_xsd_boolean)) True
% 3.69/3.94 Clause #27 (by clausification #[25]): ∀ (a : Iota),
% 3.69/3.94 Eq
% 3.69/3.94 (And
% 3.69/3.94 (And (And (iext uri_rdf_type uri_ex_c uri_owl_Class) (iext uri_owl_complementOf uri_ex_c (skS.0 0 a)))
% 3.69/3.94 (iext uri_rdf_type (skS.0 0 a) uri_owl_Restriction))
% 3.69/3.94 (iext uri_owl_onProperty (skS.0 0 a) uri_rdf_type))
% 3.69/3.94 True
% 3.69/3.94 Clause #28 (by superposition #[26, 14]): ∀ (a a_1 a_2 : Iota),
% 3.69/3.94 Or (Eq True False)
% 3.69/3.94 (Or (Eq (iext uri_owl_onProperty (skS.0 0 a) a_1) False)
% 3.69/3.94 (Or (Eq (icext (skS.0 0 a) a_2) True) (Eq (iext a_1 a_2 a_2) False)))
% 3.69/3.94 Clause #29 (by superposition #[26, 15]): ∀ (a a_1 a_2 : Iota),
% 3.69/3.94 Or (Eq True False)
% 3.69/3.94 (Or (Eq (iext uri_owl_onProperty (skS.0 0 a) a_1) False)
% 3.69/3.94 (Or (Eq (icext (skS.0 0 a) a_2) False) (Eq (iext a_1 a_2 a_2) True)))
% 3.69/3.94 Clause #32 (by clausification #[23]): ∀ (a a_1 a_2 : Iota),
% 3.69/3.94 Or (Eq (iext uri_owl_complementOf a a_1) False) (Or (Eq (icext a a_2) False) (Eq (icext a_1 a_2) False))
% 3.69/3.94 Clause #33 (by clausification #[28]): ∀ (a a_1 a_2 : Iota),
% 3.69/3.94 Or (Eq (iext uri_owl_onProperty (skS.0 0 a) a_1) False)
% 3.69/3.94 (Or (Eq (icext (skS.0 0 a) a_2) True) (Eq (iext a_1 a_2 a_2) False))
% 3.69/3.95 Clause #34 (by clausification #[29]): ∀ (a a_1 a_2 : Iota),
% 3.69/3.95 Or (Eq (iext uri_owl_onProperty (skS.0 0 a) a_1) False)
% 3.69/3.95 (Or (Eq (icext (skS.0 0 a) a_2) False) (Eq (iext a_1 a_2 a_2) True))
% 3.69/3.95 Clause #35 (by clausification #[27]): ∀ (a : Iota), Eq (iext uri_owl_onProperty (skS.0 0 a) uri_rdf_type) True
% 3.69/3.95 Clause #36 (by clausification #[27]): ∀ (a : Iota),
% 3.69/3.95 Eq
% 3.69/3.95 (And (And (iext uri_rdf_type uri_ex_c uri_owl_Class) (iext uri_owl_complementOf uri_ex_c (skS.0 0 a)))
% 3.69/3.95 (iext uri_rdf_type (skS.0 0 a) uri_owl_Restriction))
% 3.69/3.95 True
% 3.69/3.95 Clause #37 (by superposition #[35, 33]): ∀ (a a_1 : Iota), Or (Eq True False) (Or (Eq (icext (skS.0 0 a) a_1) True) (Eq (iext uri_rdf_type a_1 a_1) False))
% 3.69/3.95 Clause #38 (by superposition #[35, 34]): ∀ (a a_1 : Iota), Or (Eq True False) (Or (Eq (icext (skS.0 0 a) a_1) False) (Eq (iext uri_rdf_type a_1 a_1) True))
% 3.69/3.95 Clause #39 (by clausification #[38]): ∀ (a a_1 : Iota), Or (Eq (icext (skS.0 0 a) a_1) False) (Eq (iext uri_rdf_type a_1 a_1) True)
% 3.69/3.95 Clause #40 (by clausification #[37]): ∀ (a a_1 : Iota), Or (Eq (icext (skS.0 0 a) a_1) True) (Eq (iext uri_rdf_type a_1 a_1) False)
% 3.69/3.95 Clause #42 (by clausification #[36]): ∀ (a : Iota), Eq (And (iext uri_rdf_type uri_ex_c uri_owl_Class) (iext uri_owl_complementOf uri_ex_c (skS.0 0 a))) True
% 3.69/3.95 Clause #46 (by clausification #[42]): ∀ (a : Iota), Eq (iext uri_owl_complementOf uri_ex_c (skS.0 0 a)) True
% 3.69/3.95 Clause #48 (by superposition #[46, 24]): ∀ (a a_1 : Iota), Or (Eq True False) (Or (Eq (icext uri_ex_c a) True) (Eq (icext (skS.0 0 a_1) a) True))
% 3.69/3.95 Clause #51 (by superposition #[46, 32]): ∀ (a a_1 : Iota), Or (Eq True False) (Or (Eq (icext uri_ex_c a) False) (Eq (icext (skS.0 0 a_1) a) False))
% 3.69/3.95 Clause #57 (by clausification #[48]): ∀ (a a_1 : Iota), Or (Eq (icext uri_ex_c a) True) (Eq (icext (skS.0 0 a_1) a) True)
% 3.69/3.95 Clause #58 (by superposition #[57, 39]): ∀ (a : Iota), Or (Eq (icext uri_ex_c a) True) (Or (Eq True False) (Eq (iext uri_rdf_type a a) True))
% 3.69/3.95 Clause #60 (by clausification #[58]): ∀ (a : Iota), Or (Eq (icext uri_ex_c a) True) (Eq (iext uri_rdf_type a a) True)
% 3.69/3.95 Clause #61 (by superposition #[60, 7]): ∀ (a : Iota), Or (Eq (icext uri_ex_c a) True) (Or (Eq True False) (Eq (icext a a) True))
% 3.69/3.95 Clause #63 (by clausification #[61]): ∀ (a : Iota), Or (Eq (icext uri_ex_c a) True) (Eq (icext a a) True)
% 3.69/3.95 Clause #67 (by equality factoring #[63]): Or (Ne True True) (Eq (icext uri_ex_c uri_ex_c) True)
% 3.69/3.95 Clause #68 (by clausification #[67]): Or (Eq (icext uri_ex_c uri_ex_c) True) (Or (Eq True False) (Eq True False))
% 3.69/3.95 Clause #70 (by clausification #[68]): Or (Eq (icext uri_ex_c uri_ex_c) True) (Eq True False)
% 3.69/3.95 Clause #71 (by clausification #[70]): Eq (icext uri_ex_c uri_ex_c) True
% 3.69/3.95 Clause #72 (by superposition #[71, 6]): Or (Eq (iext uri_rdf_type uri_ex_c uri_ex_c) True) (Eq True False)
% 3.69/3.95 Clause #73 (by clausification #[72]): Eq (iext uri_rdf_type uri_ex_c uri_ex_c) True
% 3.69/3.95 Clause #75 (by superposition #[73, 40]): ∀ (a : Iota), Or (Eq (icext (skS.0 0 a) uri_ex_c) True) (Eq True False)
% 3.69/3.95 Clause #76 (by clausification #[51]): ∀ (a a_1 : Iota), Or (Eq (icext uri_ex_c a) False) (Eq (icext (skS.0 0 a_1) a) False)
% 3.69/3.95 Clause #77 (by superposition #[76, 71]): ∀ (a : Iota), Or (Eq (icext (skS.0 0 a) uri_ex_c) False) (Eq False True)
% 3.69/3.95 Clause #79 (by clausification #[77]): ∀ (a : Iota), Eq (icext (skS.0 0 a) uri_ex_c) False
% 3.69/3.95 Clause #81 (by clausification #[75]): ∀ (a : Iota), Eq (icext (skS.0 0 a) uri_ex_c) True
% 3.69/3.95 Clause #82 (by superposition #[81, 79]): Eq True False
% 3.69/3.95 Clause #85 (by clausification #[82]): False
% 3.69/3.95 SZS output end Proof for theBenchmark.p
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