TSTP Solution File: NLP267_4 by Duper---1.0

View Problem - Process Solution

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% File     : Duper---1.0
% Problem  : NLP267_4 : TPTP v8.2.0. Released v8.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : duper %s

% Computer : n029.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 09:44:39 EDT 2023

% Result   : Theorem 5.06s 5.35s
% Output   : Proof 5.06s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14  % Problem    : NLP267_4 : TPTP v8.2.0. Released v8.2.0.
% 0.00/0.15  % Command    : duper %s
% 0.11/0.35  % Computer : n029.cluster.edu
% 0.11/0.35  % Model    : x86_64 x86_64
% 0.11/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.35  % Memory   : 8042.1875MB
% 0.11/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.35  % CPULimit   : 300
% 0.11/0.35  % WCLimit    : 300
% 0.11/0.35  % DateTime   : Thu Aug 24 12:07:53 EDT 2023
% 0.11/0.36  % CPUTime    : 
% 5.06/5.35  SZS status Theorem for theBenchmark.p
% 5.06/5.35  SZS output start Proof for theBenchmark.p
% 5.06/5.35  Clause #3 (by assumption #[]): Eq (∀ (W : «$ki_world»), «$ki_accessible» «$ki_local_world» W → And (dest W paris) (class W second) → price W seventy)
% 5.06/5.35    True
% 5.06/5.35  Clause #6 (by assumption #[]): Eq (∀ (W : «$ki_world»), «$ki_accessible» «$ki_local_world» W → dest W paris) True
% 5.06/5.35  Clause #7 (by assumption #[]): Eq (∀ (W : «$ki_world»), «$ki_accessible» «$ki_local_world» W → class W second) True
% 5.06/5.35  Clause #8 (by assumption #[]): Eq (Not (∀ (W : «$ki_world»), «$ki_accessible» «$ki_local_world» W → price W seventy)) True
% 5.06/5.35  Clause #10 (by clausification #[7]): ∀ (a : «$ki_world»), Eq («$ki_accessible» «$ki_local_world» a → class a second) True
% 5.06/5.35  Clause #11 (by clausification #[10]): ∀ (a : «$ki_world»), Or (Eq («$ki_accessible» «$ki_local_world» a) False) (Eq (class a second) True)
% 5.06/5.35  Clause #14 (by clausification #[6]): ∀ (a : «$ki_world»), Eq («$ki_accessible» «$ki_local_world» a → dest a paris) True
% 5.06/5.35  Clause #15 (by clausification #[14]): ∀ (a : «$ki_world»), Or (Eq («$ki_accessible» «$ki_local_world» a) False) (Eq (dest a paris) True)
% 5.06/5.35  Clause #24 (by clausification #[3]): ∀ (a : «$ki_world»),
% 5.06/5.35    Eq («$ki_accessible» «$ki_local_world» a → And (dest a paris) (class a second) → price a seventy) True
% 5.06/5.35  Clause #25 (by clausification #[24]): ∀ (a : «$ki_world»),
% 5.06/5.35    Or (Eq («$ki_accessible» «$ki_local_world» a) False) (Eq (And (dest a paris) (class a second) → price a seventy) True)
% 5.06/5.35  Clause #26 (by clausification #[25]): ∀ (a : «$ki_world»),
% 5.06/5.35    Or (Eq («$ki_accessible» «$ki_local_world» a) False)
% 5.06/5.35      (Or (Eq (And (dest a paris) (class a second)) False) (Eq (price a seventy) True))
% 5.06/5.35  Clause #27 (by clausification #[26]): ∀ (a : «$ki_world»),
% 5.06/5.35    Or (Eq («$ki_accessible» «$ki_local_world» a) False)
% 5.06/5.35      (Or (Eq (price a seventy) True) (Or (Eq (dest a paris) False) (Eq (class a second) False)))
% 5.06/5.35  Clause #34 (by clausification #[8]): Eq (∀ (W : «$ki_world»), «$ki_accessible» «$ki_local_world» W → price W seventy) False
% 5.06/5.35  Clause #35 (by clausification #[34]): ∀ (a : «$ki_world»), Eq (Not («$ki_accessible» «$ki_local_world» (skS.0 0 a) → price (skS.0 0 a) seventy)) True
% 5.06/5.35  Clause #36 (by clausification #[35]): ∀ (a : «$ki_world»), Eq («$ki_accessible» «$ki_local_world» (skS.0 0 a) → price (skS.0 0 a) seventy) False
% 5.06/5.35  Clause #37 (by clausification #[36]): ∀ (a : «$ki_world»), Eq («$ki_accessible» «$ki_local_world» (skS.0 0 a)) True
% 5.06/5.35  Clause #38 (by clausification #[36]): ∀ (a : «$ki_world»), Eq (price (skS.0 0 a) seventy) False
% 5.06/5.35  Clause #39 (by superposition #[37, 11]): ∀ (a : «$ki_world»), Or (Eq True False) (Eq (class (skS.0 0 a) second) True)
% 5.06/5.35  Clause #40 (by superposition #[37, 15]): ∀ (a : «$ki_world»), Or (Eq True False) (Eq (dest (skS.0 0 a) paris) True)
% 5.06/5.35  Clause #41 (by superposition #[37, 27]): ∀ (a : «$ki_world»),
% 5.06/5.35    Or (Eq True False)
% 5.06/5.35      (Or (Eq (price (skS.0 0 a) seventy) True)
% 5.06/5.35        (Or (Eq (dest (skS.0 0 a) paris) False) (Eq (class (skS.0 0 a) second) False)))
% 5.06/5.35  Clause #54 (by clausification #[40]): ∀ (a : «$ki_world»), Eq (dest (skS.0 0 a) paris) True
% 5.06/5.35  Clause #55 (by clausification #[39]): ∀ (a : «$ki_world»), Eq (class (skS.0 0 a) second) True
% 5.06/5.35  Clause #77 (by clausification #[41]): ∀ (a : «$ki_world»),
% 5.06/5.35    Or (Eq (price (skS.0 0 a) seventy) True)
% 5.06/5.35      (Or (Eq (dest (skS.0 0 a) paris) False) (Eq (class (skS.0 0 a) second) False))
% 5.06/5.35  Clause #78 (by forward demodulation #[77, 38]): ∀ (a : «$ki_world»), Or (Eq False True) (Or (Eq (dest (skS.0 0 a) paris) False) (Eq (class (skS.0 0 a) second) False))
% 5.06/5.35  Clause #79 (by clausification #[78]): ∀ (a : «$ki_world»), Or (Eq (dest (skS.0 0 a) paris) False) (Eq (class (skS.0 0 a) second) False)
% 5.06/5.35  Clause #80 (by forward demodulation #[79, 55]): ∀ (a : «$ki_world»), Or (Eq (dest (skS.0 0 a) paris) False) (Eq True False)
% 5.06/5.35  Clause #81 (by clausification #[80]): ∀ (a : «$ki_world»), Eq (dest (skS.0 0 a) paris) False
% 5.06/5.35  Clause #82 (by superposition #[81, 54]): Eq False True
% 5.06/5.35  Clause #83 (by clausification #[82]): False
% 5.06/5.35  SZS output end Proof for theBenchmark.p
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