TSTP Solution File: NLP267_5 by Duper---1.0

View Problem - Process Solution

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% File     : Duper---1.0
% Problem  : NLP267_5 : TPTP v8.2.0. Released v8.2.0.
% 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 09:44:39 EDT 2023

% Result   : Theorem 3.52s 3.72s
% Output   : Proof 3.52s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : NLP267_5 : TPTP v8.2.0. Released v8.2.0.
% 0.06/0.13  % Command    : duper %s
% 0.13/0.34  % Computer : n002.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   : Thu Aug 24 10:59:16 EDT 2023
% 0.13/0.34  % CPUTime    : 
% 3.52/3.72  SZS status Theorem for theBenchmark.p
% 3.52/3.72  SZS output start Proof for theBenchmark.p
% 3.52/3.72  Clause #0 (by assumption #[]): Eq (∀ (W V : «$ki_world»), «$ki_accessible» W V) True
% 3.52/3.72  Clause #2 (by assumption #[]): Eq (∀ (W : «$ki_world»), «$ki_accessible» «$ki_local_world» W → And (dest W paris) (class W second) → price W seventy)
% 3.52/3.72    True
% 3.52/3.72  Clause #5 (by assumption #[]): Eq (∀ (W : «$ki_world»), «$ki_accessible» «$ki_local_world» W → dest W paris) True
% 3.52/3.72  Clause #6 (by assumption #[]): Eq (∀ (W : «$ki_world»), «$ki_accessible» «$ki_local_world» W → class W second) True
% 3.52/3.72  Clause #7 (by assumption #[]): Eq (Not (∀ (W : «$ki_world»), «$ki_accessible» «$ki_local_world» W → price W seventy)) True
% 3.52/3.72  Clause #8 (by clausification #[6]): ∀ (a : «$ki_world»), Eq («$ki_accessible» «$ki_local_world» a → class a second) True
% 3.52/3.72  Clause #9 (by clausification #[8]): ∀ (a : «$ki_world»), Or (Eq («$ki_accessible» «$ki_local_world» a) False) (Eq (class a second) True)
% 3.52/3.72  Clause #10 (by clausification #[5]): ∀ (a : «$ki_world»), Eq («$ki_accessible» «$ki_local_world» a → dest a paris) True
% 3.52/3.72  Clause #11 (by clausification #[10]): ∀ (a : «$ki_world»), Or (Eq («$ki_accessible» «$ki_local_world» a) False) (Eq (dest a paris) True)
% 3.52/3.72  Clause #12 (by clausification #[0]): ∀ (a : «$ki_world»), Eq (∀ (V : «$ki_world»), «$ki_accessible» a V) True
% 3.52/3.72  Clause #13 (by clausification #[12]): ∀ (a a_1 : «$ki_world»), Eq («$ki_accessible» a a_1) True
% 3.52/3.72  Clause #14 (by backward demodulation #[13, 9]): ∀ (a : «$ki_world»), Or (Eq True False) (Eq (class a second) True)
% 3.52/3.72  Clause #15 (by backward demodulation #[13, 11]): ∀ (a : «$ki_world»), Or (Eq True False) (Eq (dest a paris) True)
% 3.52/3.72  Clause #16 (by clausification #[15]): ∀ (a : «$ki_world»), Eq (dest a paris) True
% 3.52/3.72  Clause #17 (by clausification #[14]): ∀ (a : «$ki_world»), Eq (class a second) True
% 3.52/3.72  Clause #25 (by clausification #[2]): ∀ (a : «$ki_world»),
% 3.52/3.72    Eq («$ki_accessible» «$ki_local_world» a → And (dest a paris) (class a second) → price a seventy) True
% 3.52/3.72  Clause #26 (by clausification #[25]): ∀ (a : «$ki_world»),
% 3.52/3.72    Or (Eq («$ki_accessible» «$ki_local_world» a) False) (Eq (And (dest a paris) (class a second) → price a seventy) True)
% 3.52/3.72  Clause #27 (by clausification #[26]): ∀ (a : «$ki_world»),
% 3.52/3.72    Or (Eq («$ki_accessible» «$ki_local_world» a) False)
% 3.52/3.72      (Or (Eq (And (dest a paris) (class a second)) False) (Eq (price a seventy) True))
% 3.52/3.72  Clause #28 (by clausification #[27]): ∀ (a : «$ki_world»),
% 3.52/3.72    Or (Eq («$ki_accessible» «$ki_local_world» a) False)
% 3.52/3.72      (Or (Eq (price a seventy) True) (Or (Eq (dest a paris) False) (Eq (class a second) False)))
% 3.52/3.72  Clause #29 (by forward demodulation #[28, 13]): ∀ (a : «$ki_world»),
% 3.52/3.72    Or (Eq True False) (Or (Eq (price a seventy) True) (Or (Eq (dest a paris) False) (Eq (class a second) False)))
% 3.52/3.72  Clause #30 (by clausification #[29]): ∀ (a : «$ki_world»), Or (Eq (price a seventy) True) (Or (Eq (dest a paris) False) (Eq (class a second) False))
% 3.52/3.72  Clause #31 (by forward demodulation #[30, 17]): ∀ (a : «$ki_world»), Or (Eq (price a seventy) True) (Or (Eq (dest a paris) False) (Eq True False))
% 3.52/3.72  Clause #32 (by clausification #[31]): ∀ (a : «$ki_world»), Or (Eq (price a seventy) True) (Eq (dest a paris) False)
% 3.52/3.72  Clause #33 (by superposition #[32, 16]): ∀ (a : «$ki_world»), Or (Eq (price a seventy) True) (Eq False True)
% 3.52/3.72  Clause #34 (by clausification #[33]): ∀ (a : «$ki_world»), Eq (price a seventy) True
% 3.52/3.72  Clause #36 (by clausification #[7]): Eq (∀ (W : «$ki_world»), «$ki_accessible» «$ki_local_world» W → price W seventy) False
% 3.52/3.72  Clause #37 (by clausification #[36]): ∀ (a : «$ki_world»), Eq (Not («$ki_accessible» «$ki_local_world» (skS.0 0 a) → price (skS.0 0 a) seventy)) True
% 3.52/3.72  Clause #38 (by clausification #[37]): ∀ (a : «$ki_world»), Eq («$ki_accessible» «$ki_local_world» (skS.0 0 a) → price (skS.0 0 a) seventy) False
% 3.52/3.72  Clause #40 (by clausification #[38]): ∀ (a : «$ki_world»), Eq (price (skS.0 0 a) seventy) False
% 3.52/3.72  Clause #41 (by superposition #[40, 34]): Eq False True
% 3.52/3.72  Clause #51 (by clausification #[41]): False
% 3.52/3.72  SZS output end Proof for theBenchmark.p
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