TSTP Solution File: SWB011+2 by Duper---1.0

View Problem - Process Solution

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% File     : Duper---1.0
% Problem  : SWB011+2 : TPTP v8.1.2. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : duper %s

% Computer : n017.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 20:03:57 EDT 2023

% Result   : Unsatisfiable 3.50s 3.68s
% Output   : Proof 3.50s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SWB011+2 : TPTP v8.1.2. Released v5.2.0.
% 0.07/0.13  % Command    : duper %s
% 0.13/0.34  % Computer : n017.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 06:28:11 EDT 2023
% 0.13/0.34  % CPUTime    : 
% 3.50/3.68  SZS status Theorem for theBenchmark.p
% 3.50/3.68  SZS output start Proof for theBenchmark.p
% 3.50/3.68  Clause #0 (by assumption #[]): Eq (∀ (X C : Iota), Iff (iext uri_rdf_type X C) (icext C X)) True
% 3.50/3.68  Clause #1 (by assumption #[]): Eq
% 3.50/3.68    (∀ (C1 C2 : Iota),
% 3.50/3.68      Iff (iext uri_owl_disjointWith C1 C2)
% 3.50/3.68        (And (And (ic C1) (ic C2)) (∀ (X : Iota), Not (And (icext C1 X) (icext C2 X)))))
% 3.50/3.68    True
% 3.50/3.68  Clause #2 (by assumption #[]): Eq
% 3.50/3.68    (And (And (iext uri_owl_disjointWith uri_owl_Class uri_owl_ObjectProperty) (iext uri_rdf_type uri_ex_x uri_owl_Class))
% 3.50/3.68      (iext uri_rdf_type uri_ex_x uri_owl_ObjectProperty))
% 3.50/3.68    True
% 3.50/3.68  Clause #3 (by clausification #[0]): ∀ (a : Iota), Eq (∀ (C : Iota), Iff (iext uri_rdf_type a C) (icext C a)) True
% 3.50/3.68  Clause #4 (by clausification #[3]): ∀ (a a_1 : Iota), Eq (Iff (iext uri_rdf_type a a_1) (icext a_1 a)) True
% 3.50/3.68  Clause #6 (by clausification #[4]): ∀ (a a_1 : Iota), Or (Eq (iext uri_rdf_type a a_1) False) (Eq (icext a_1 a) True)
% 3.50/3.68  Clause #7 (by clausification #[2]): Eq (iext uri_rdf_type uri_ex_x uri_owl_ObjectProperty) True
% 3.50/3.68  Clause #8 (by clausification #[2]): Eq (And (iext uri_owl_disjointWith uri_owl_Class uri_owl_ObjectProperty) (iext uri_rdf_type uri_ex_x uri_owl_Class))
% 3.50/3.68    True
% 3.50/3.68  Clause #9 (by superposition #[7, 6]): Or (Eq True False) (Eq (icext uri_owl_ObjectProperty uri_ex_x) True)
% 3.50/3.68  Clause #10 (by clausification #[9]): Eq (icext uri_owl_ObjectProperty uri_ex_x) True
% 3.50/3.68  Clause #12 (by clausification #[1]): ∀ (a : Iota),
% 3.50/3.68    Eq
% 3.50/3.68      (∀ (C2 : Iota),
% 3.50/3.68        Iff (iext uri_owl_disjointWith a C2)
% 3.50/3.68          (And (And (ic a) (ic C2)) (∀ (X : Iota), Not (And (icext a X) (icext C2 X)))))
% 3.50/3.68      True
% 3.50/3.68  Clause #13 (by clausification #[12]): ∀ (a a_1 : Iota),
% 3.50/3.68    Eq
% 3.50/3.68      (Iff (iext uri_owl_disjointWith a a_1)
% 3.50/3.68        (And (And (ic a) (ic a_1)) (∀ (X : Iota), Not (And (icext a X) (icext a_1 X)))))
% 3.50/3.68      True
% 3.50/3.68  Clause #15 (by clausification #[13]): ∀ (a a_1 : Iota),
% 3.50/3.68    Or (Eq (iext uri_owl_disjointWith a a_1) False)
% 3.50/3.68      (Eq (And (And (ic a) (ic a_1)) (∀ (X : Iota), Not (And (icext a X) (icext a_1 X)))) True)
% 3.50/3.68  Clause #23 (by clausification #[8]): Eq (iext uri_rdf_type uri_ex_x uri_owl_Class) True
% 3.50/3.68  Clause #24 (by clausification #[8]): Eq (iext uri_owl_disjointWith uri_owl_Class uri_owl_ObjectProperty) True
% 3.50/3.68  Clause #25 (by superposition #[23, 6]): Or (Eq True False) (Eq (icext uri_owl_Class uri_ex_x) True)
% 3.50/3.68  Clause #26 (by clausification #[25]): Eq (icext uri_owl_Class uri_ex_x) True
% 3.50/3.68  Clause #28 (by clausification #[15]): ∀ (a a_1 : Iota),
% 3.50/3.68    Or (Eq (iext uri_owl_disjointWith a a_1) False) (Eq (∀ (X : Iota), Not (And (icext a X) (icext a_1 X))) True)
% 3.50/3.68  Clause #30 (by clausification #[28]): ∀ (a a_1 a_2 : Iota),
% 3.50/3.68    Or (Eq (iext uri_owl_disjointWith a a_1) False) (Eq (Not (And (icext a a_2) (icext a_1 a_2))) True)
% 3.50/3.68  Clause #31 (by clausification #[30]): ∀ (a a_1 a_2 : Iota), Or (Eq (iext uri_owl_disjointWith a a_1) False) (Eq (And (icext a a_2) (icext a_1 a_2)) False)
% 3.50/3.68  Clause #32 (by clausification #[31]): ∀ (a a_1 a_2 : Iota),
% 3.50/3.68    Or (Eq (iext uri_owl_disjointWith a a_1) False) (Or (Eq (icext a a_2) False) (Eq (icext a_1 a_2) False))
% 3.50/3.68  Clause #33 (by superposition #[32, 24]): ∀ (a : Iota), Or (Eq (icext uri_owl_Class a) False) (Or (Eq (icext uri_owl_ObjectProperty a) False) (Eq False True))
% 3.50/3.68  Clause #34 (by clausification #[33]): ∀ (a : Iota), Or (Eq (icext uri_owl_Class a) False) (Eq (icext uri_owl_ObjectProperty a) False)
% 3.50/3.68  Clause #35 (by superposition #[34, 26]): Or (Eq (icext uri_owl_ObjectProperty uri_ex_x) False) (Eq False True)
% 3.50/3.68  Clause #36 (by clausification #[35]): Eq (icext uri_owl_ObjectProperty uri_ex_x) False
% 3.50/3.68  Clause #37 (by superposition #[36, 10]): Eq False True
% 3.50/3.68  Clause #38 (by clausification #[37]): False
% 3.50/3.68  SZS output end Proof for theBenchmark.p
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