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Duper---1.0.UNS-Prf.s

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%------------------------------------------------------------------------------
% File     : Duper---1.0
% Problem  : MGT112+1 : TPTP v9.3.0. Released v9.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : duper %s

% Computer : n001.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep  8 06:06:25 AM UTC 2026

% Result   : Unsatisfiable 8.66s 8.96s
% Output   : Proof 8.66s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem    : MGT112+1 : TPTP v9.3.0. Released v9.3.0.
% 0.00/0.04  % Command    : duper %s
% 0.11/0.36  % Computer : n001.cluster.edu
% 0.11/0.36  % Model    : x86_64 x86_64
% 0.11/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36  % Memory   : 8046.5625MB
% 0.11/0.36  % OS       : Linux 6.8.0-71-generic
% 0.11/0.36  % CPULimit   : 300
% 0.11/0.36  % WCLimit    : 300
% 0.11/0.36  % DateTime   : Mon Sep  7 14:11:52 UTC 2026
% 0.11/0.36  % CPUTime    : 
% 8.66/8.96  SZS status Theorem for theBenchmark.p
% 8.66/8.96  SZS output start Proof for theBenchmark.p
% 8.66/8.96  Clause #0 (by assumption #[]): Eq
% 8.66/8.96    (∀ (F X Y A T : Iota),
% 8.66/8.96      And (And (And (And (proh F) (aee F X)) (aer F Y)) (act F A)) (tgt F T) →
% 8.66/8.96        Not (Exists fun Db => And (And (disability Db) (bearer Db Y)) (cnt Db A T)))
% 8.66/8.96    True
% 8.66/8.96  Clause #14 (by assumption #[]): Eq (disability db) True
% 8.66/8.96  Clause #18 (by assumption #[]): Eq (bearer db museen) True
% 8.66/8.96  Clause #22 (by assumption #[]): Eq (cnt db read museum_api) True
% 8.66/8.96  Clause #24 (by assumption #[]): Eq (proh f2) True
% 8.66/8.96  Clause #25 (by assumption #[]): Eq (aee f2 bibliothek) True
% 8.66/8.96  Clause #26 (by assumption #[]): Eq (aer f2 museen) True
% 8.66/8.96  Clause #27 (by assumption #[]): Eq (act f2 read) True
% 8.66/8.96  Clause #28 (by assumption #[]): Eq (tgt f2 museum_api) True
% 8.66/8.96  Clause #29 (by clausification #[0]): ∀ (a : Iota),
% 8.66/8.96    Eq
% 8.66/8.96      (∀ (X Y A T : Iota),
% 8.66/8.96        And (And (And (And (proh a) (aee a X)) (aer a Y)) (act a A)) (tgt a T) →
% 8.66/8.96          Not (Exists fun Db => And (And (disability Db) (bearer Db Y)) (cnt Db A T)))
% 8.66/8.96      True
% 8.66/8.96  Clause #30 (by clausification #[29]): ∀ (a a_1 : Iota),
% 8.66/8.96    Eq
% 8.66/8.96      (∀ (Y A T : Iota),
% 8.66/8.96        And (And (And (And (proh a) (aee a a_1)) (aer a Y)) (act a A)) (tgt a T) →
% 8.66/8.96          Not (Exists fun Db => And (And (disability Db) (bearer Db Y)) (cnt Db A T)))
% 8.66/8.96      True
% 8.66/8.96  Clause #31 (by clausification #[30]): ∀ (a a_1 a_2 : Iota),
% 8.66/8.96    Eq
% 8.66/8.96      (∀ (A T : Iota),
% 8.66/8.96        And (And (And (And (proh a) (aee a a_1)) (aer a a_2)) (act a A)) (tgt a T) →
% 8.66/8.96          Not (Exists fun Db => And (And (disability Db) (bearer Db a_2)) (cnt Db A T)))
% 8.66/8.96      True
% 8.66/8.96  Clause #32 (by clausification #[31]): ∀ (a a_1 a_2 a_3 : Iota),
% 8.66/8.96    Eq
% 8.66/8.96      (∀ (T : Iota),
% 8.66/8.96        And (And (And (And (proh a) (aee a a_1)) (aer a a_2)) (act a a_3)) (tgt a T) →
% 8.66/8.96          Not (Exists fun Db => And (And (disability Db) (bearer Db a_2)) (cnt Db a_3 T)))
% 8.66/8.96      True
% 8.66/8.96  Clause #33 (by clausification #[32]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 8.66/8.96    Eq
% 8.66/8.96      (And (And (And (And (proh a) (aee a a_1)) (aer a a_2)) (act a a_3)) (tgt a a_4) →
% 8.66/8.96        Not (Exists fun Db => And (And (disability Db) (bearer Db a_2)) (cnt Db a_3 a_4)))
% 8.66/8.96      True
% 8.66/8.96  Clause #34 (by clausification #[33]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 8.66/8.96    Or (Eq (And (And (And (And (proh a) (aee a a_1)) (aer a a_2)) (act a a_3)) (tgt a a_4)) False)
% 8.66/8.96      (Eq (Not (Exists fun Db => And (And (disability Db) (bearer Db a_2)) (cnt Db a_3 a_4))) True)
% 8.66/8.96  Clause #35 (by clausification #[34]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 8.66/8.96    Or (Eq (Not (Exists fun Db => And (And (disability Db) (bearer Db a)) (cnt Db a_1 a_2))) True)
% 8.66/8.96      (Or (Eq (And (And (And (proh a_3) (aee a_3 a_4)) (aer a_3 a)) (act a_3 a_1)) False) (Eq (tgt a_3 a_2) False))
% 8.66/8.96  Clause #36 (by clausification #[35]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 8.66/8.96    Or (Eq (And (And (And (proh a) (aee a a_1)) (aer a a_2)) (act a a_3)) False)
% 8.66/8.96      (Or (Eq (tgt a a_4) False) (Eq (Exists fun Db => And (And (disability Db) (bearer Db a_2)) (cnt Db a_3 a_4)) False))
% 8.66/8.96  Clause #37 (by clausification #[36]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 8.66/8.96    Or (Eq (tgt a a_1) False)
% 8.66/8.96      (Or (Eq (Exists fun Db => And (And (disability Db) (bearer Db a_2)) (cnt Db a_3 a_1)) False)
% 8.66/8.96        (Or (Eq (And (And (proh a) (aee a a_4)) (aer a a_2)) False) (Eq (act a a_3) False)))
% 8.66/8.96  Clause #38 (by clausification #[37]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 8.66/8.96    Or (Eq (tgt a a_1) False)
% 8.66/8.96      (Or (Eq (And (And (proh a) (aee a a_2)) (aer a a_3)) False)
% 8.66/8.96        (Or (Eq (act a a_4) False) (Eq (And (And (disability a_5) (bearer a_5 a_3)) (cnt a_5 a_4 a_1)) False)))
% 8.66/8.96  Clause #39 (by clausification #[38]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 8.66/8.96    Or (Eq (tgt a a_1) False)
% 8.66/8.96      (Or (Eq (act a a_2) False)
% 8.66/8.96        (Or (Eq (And (And (disability a_3) (bearer a_3 a_4)) (cnt a_3 a_2 a_1)) False)
% 8.66/8.96          (Or (Eq (And (proh a) (aee a a_5)) False) (Eq (aer a a_4) False))))
% 8.66/8.96  Clause #40 (by clausification #[39]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 8.66/8.96    Or (Eq (tgt a a_1) False)
% 8.66/8.96      (Or (Eq (act a a_2) False)
% 8.66/8.96        (Or (Eq (And (proh a) (aee a a_3)) False)
% 8.66/8.96          (Or (Eq (aer a a_4) False)
% 8.66/8.96            (Or (Eq (And (disability a_5) (bearer a_5 a_4)) False) (Eq (cnt a_5 a_2 a_1) False)))))
% 8.66/8.96  Clause #41 (by clausification #[40]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 8.66/9.01    Or (Eq (tgt a a_1) False)
% 8.66/9.01      (Or (Eq (act a a_2) False)
% 8.66/9.01        (Or (Eq (aer a a_3) False)
% 8.66/9.01          (Or (Eq (And (disability a_4) (bearer a_4 a_3)) False)
% 8.66/9.01            (Or (Eq (cnt a_4 a_2 a_1) False) (Or (Eq (proh a) False) (Eq (aee a a_5) False))))))
% 8.66/9.01  Clause #42 (by clausification #[41]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 8.66/9.01    Or (Eq (tgt a a_1) False)
% 8.66/9.01      (Or (Eq (act a a_2) False)
% 8.66/9.01        (Or (Eq (aer a a_3) False)
% 8.66/9.01          (Or (Eq (cnt a_4 a_2 a_1) False)
% 8.66/9.01            (Or (Eq (proh a) False)
% 8.66/9.01              (Or (Eq (aee a a_5) False) (Or (Eq (disability a_4) False) (Eq (bearer a_4 a_3) False)))))))
% 8.66/9.01  Clause #43 (by superposition #[28, 42]): ∀ (a a_1 a_2 a_3 : Iota),
% 8.66/9.01    Or (Eq (act f2 a) False)
% 8.66/9.01      (Or (Eq (aer f2 a_1) False)
% 8.66/9.01        (Or (Eq (cnt a_2 a museum_api) False)
% 8.66/9.01          (Or (Eq (proh f2) False)
% 8.66/9.01            (Or (Eq (aee f2 a_3) False)
% 8.66/9.01              (Or (Eq (disability a_2) False) (Or (Eq (bearer a_2 a_1) False) (Eq False True)))))))
% 8.66/9.01  Clause #44 (by clausification #[43]): ∀ (a a_1 a_2 a_3 : Iota),
% 8.66/9.01    Or (Eq (act f2 a) False)
% 8.66/9.01      (Or (Eq (aer f2 a_1) False)
% 8.66/9.01        (Or (Eq (cnt a_2 a museum_api) False)
% 8.66/9.01          (Or (Eq (proh f2) False)
% 8.66/9.01            (Or (Eq (aee f2 a_3) False) (Or (Eq (disability a_2) False) (Eq (bearer a_2 a_1) False))))))
% 8.66/9.01  Clause #45 (by forward demodulation #[44, 24]): ∀ (a a_1 a_2 a_3 : Iota),
% 8.66/9.01    Or (Eq (act f2 a) False)
% 8.66/9.01      (Or (Eq (aer f2 a_1) False)
% 8.66/9.01        (Or (Eq (cnt a_2 a museum_api) False)
% 8.66/9.01          (Or (Eq True False) (Or (Eq (aee f2 a_3) False) (Or (Eq (disability a_2) False) (Eq (bearer a_2 a_1) False))))))
% 8.66/9.01  Clause #46 (by clausification #[45]): ∀ (a a_1 a_2 a_3 : Iota),
% 8.66/9.01    Or (Eq (act f2 a) False)
% 8.66/9.01      (Or (Eq (aer f2 a_1) False)
% 8.66/9.01        (Or (Eq (cnt a_2 a museum_api) False)
% 8.66/9.01          (Or (Eq (aee f2 a_3) False) (Or (Eq (disability a_2) False) (Eq (bearer a_2 a_1) False)))))
% 8.66/9.01  Clause #47 (by superposition #[46, 27]): ∀ (a a_1 a_2 : Iota),
% 8.66/9.01    Or (Eq (aer f2 a) False)
% 8.66/9.01      (Or (Eq (cnt a_1 read museum_api) False)
% 8.66/9.01        (Or (Eq (aee f2 a_2) False) (Or (Eq (disability a_1) False) (Or (Eq (bearer a_1 a) False) (Eq False True)))))
% 8.66/9.01  Clause #48 (by clausification #[47]): ∀ (a a_1 a_2 : Iota),
% 8.66/9.01    Or (Eq (aer f2 a) False)
% 8.66/9.01      (Or (Eq (cnt a_1 read museum_api) False)
% 8.66/9.01        (Or (Eq (aee f2 a_2) False) (Or (Eq (disability a_1) False) (Eq (bearer a_1 a) False))))
% 8.66/9.01  Clause #49 (by superposition #[48, 26]): ∀ (a a_1 : Iota),
% 8.66/9.01    Or (Eq (cnt a read museum_api) False)
% 8.66/9.01      (Or (Eq (aee f2 a_1) False) (Or (Eq (disability a) False) (Or (Eq (bearer a museen) False) (Eq False True))))
% 8.66/9.01  Clause #50 (by clausification #[49]): ∀ (a a_1 : Iota),
% 8.66/9.01    Or (Eq (cnt a read museum_api) False)
% 8.66/9.01      (Or (Eq (aee f2 a_1) False) (Or (Eq (disability a) False) (Eq (bearer a museen) False)))
% 8.66/9.01  Clause #53 (by superposition #[50, 22]): ∀ (a : Iota),
% 8.66/9.01    Or (Eq (aee f2 a) False) (Or (Eq (disability db) False) (Or (Eq (bearer db museen) False) (Eq False True)))
% 8.66/9.01  Clause #64 (by clausification #[53]): ∀ (a : Iota), Or (Eq (aee f2 a) False) (Or (Eq (disability db) False) (Eq (bearer db museen) False))
% 8.66/9.01  Clause #65 (by forward demodulation #[64, 14]): ∀ (a : Iota), Or (Eq (aee f2 a) False) (Or (Eq True False) (Eq (bearer db museen) False))
% 8.66/9.01  Clause #66 (by clausification #[65]): ∀ (a : Iota), Or (Eq (aee f2 a) False) (Eq (bearer db museen) False)
% 8.66/9.01  Clause #67 (by forward demodulation #[66, 18]): ∀ (a : Iota), Or (Eq (aee f2 a) False) (Eq True False)
% 8.66/9.01  Clause #68 (by clausification #[67]): ∀ (a : Iota), Eq (aee f2 a) False
% 8.66/9.01  Clause #69 (by superposition #[68, 25]): Eq False True
% 8.66/9.01  Clause #70 (by clausification #[69]): False
% 8.66/9.01  SZS output end Proof for theBenchmark.p
%------------------------------------------------------------------------------