TSTP Solution File: NLP267_1 by Duper---1.0

View Problem - Process Solution

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% File     : Duper---1.0
% Problem  : NLP267_1 : TPTP v8.2.0. Released v8.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : duper %s

% Computer : n016.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 09:44:38 EDT 2023

% Result   : Theorem 3.67s 3.84s
% Output   : Proof 3.67s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : NLP267_1 : TPTP v8.2.0. Released v8.2.0.
% 0.00/0.13  % Command    : duper %s
% 0.13/0.35  % Computer : n016.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Thu Aug 24 12:47:54 EDT 2023
% 0.13/0.35  % CPUTime    : 
% 3.67/3.84  SZS status Theorem for theBenchmark.p
% 3.67/3.84  SZS output start Proof for theBenchmark.p
% 3.67/3.84  Clause #1 (by assumption #[]): Eq (∀ (W : «$ki_world»), «$ki_accessible» «$ki_local_world» W → And (dest W paris) (class W second) → price W seventy)
% 3.67/3.84    True
% 3.67/3.84  Clause #4 (by assumption #[]): Eq (∀ (W : «$ki_world»), «$ki_accessible» «$ki_local_world» W → dest W paris) True
% 3.67/3.84  Clause #5 (by assumption #[]): Eq (∀ (W : «$ki_world»), «$ki_accessible» «$ki_local_world» W → class W second) True
% 3.67/3.84  Clause #6 (by assumption #[]): Eq (Not (∀ (W : «$ki_world»), «$ki_accessible» «$ki_local_world» W → price W seventy)) True
% 3.67/3.84  Clause #7 (by clausification #[5]): ∀ (a : «$ki_world»), Eq («$ki_accessible» «$ki_local_world» a → class a second) True
% 3.67/3.84  Clause #8 (by clausification #[7]): ∀ (a : «$ki_world»), Or (Eq («$ki_accessible» «$ki_local_world» a) False) (Eq (class a second) True)
% 3.67/3.84  Clause #9 (by clausification #[4]): ∀ (a : «$ki_world»), Eq («$ki_accessible» «$ki_local_world» a → dest a paris) True
% 3.67/3.84  Clause #10 (by clausification #[9]): ∀ (a : «$ki_world»), Or (Eq («$ki_accessible» «$ki_local_world» a) False) (Eq (dest a paris) True)
% 3.67/3.84  Clause #11 (by clausification #[6]): Eq (∀ (W : «$ki_world»), «$ki_accessible» «$ki_local_world» W → price W seventy) False
% 3.67/3.84  Clause #12 (by clausification #[11]): ∀ (a : «$ki_world»), Eq (Not («$ki_accessible» «$ki_local_world» (skS.0 0 a) → price (skS.0 0 a) seventy)) True
% 3.67/3.84  Clause #13 (by clausification #[12]): ∀ (a : «$ki_world»), Eq («$ki_accessible» «$ki_local_world» (skS.0 0 a) → price (skS.0 0 a) seventy) False
% 3.67/3.84  Clause #14 (by clausification #[13]): ∀ (a : «$ki_world»), Eq («$ki_accessible» «$ki_local_world» (skS.0 0 a)) True
% 3.67/3.84  Clause #15 (by clausification #[13]): ∀ (a : «$ki_world»), Eq (price (skS.0 0 a) seventy) False
% 3.67/3.84  Clause #16 (by superposition #[14, 8]): ∀ (a : «$ki_world»), Or (Eq True False) (Eq (class (skS.0 0 a) second) True)
% 3.67/3.84  Clause #17 (by superposition #[14, 10]): ∀ (a : «$ki_world»), Or (Eq True False) (Eq (dest (skS.0 0 a) paris) True)
% 3.67/3.84  Clause #18 (by clausification #[1]): ∀ (a : «$ki_world»),
% 3.67/3.84    Eq («$ki_accessible» «$ki_local_world» a → And (dest a paris) (class a second) → price a seventy) True
% 3.67/3.84  Clause #19 (by clausification #[18]): ∀ (a : «$ki_world»),
% 3.67/3.84    Or (Eq («$ki_accessible» «$ki_local_world» a) False) (Eq (And (dest a paris) (class a second) → price a seventy) True)
% 3.67/3.84  Clause #20 (by clausification #[19]): ∀ (a : «$ki_world»),
% 3.67/3.84    Or (Eq («$ki_accessible» «$ki_local_world» a) False)
% 3.67/3.84      (Or (Eq (And (dest a paris) (class a second)) False) (Eq (price a seventy) True))
% 3.67/3.84  Clause #21 (by clausification #[20]): ∀ (a : «$ki_world»),
% 3.67/3.84    Or (Eq («$ki_accessible» «$ki_local_world» a) False)
% 3.67/3.84      (Or (Eq (price a seventy) True) (Or (Eq (dest a paris) False) (Eq (class a second) False)))
% 3.67/3.84  Clause #22 (by superposition #[21, 14]): ∀ (a : «$ki_world»),
% 3.67/3.84    Or (Eq (price (skS.0 0 a) seventy) True)
% 3.67/3.84      (Or (Eq (dest (skS.0 0 a) paris) False) (Or (Eq (class (skS.0 0 a) second) False) (Eq False True)))
% 3.67/3.84  Clause #33 (by clausification #[17]): ∀ (a : «$ki_world»), Eq (dest (skS.0 0 a) paris) True
% 3.67/3.84  Clause #34 (by clausification #[16]): ∀ (a : «$ki_world»), Eq (class (skS.0 0 a) second) True
% 3.67/3.84  Clause #43 (by clausification #[22]): ∀ (a : «$ki_world»),
% 3.67/3.84    Or (Eq (price (skS.0 0 a) seventy) True)
% 3.67/3.84      (Or (Eq (dest (skS.0 0 a) paris) False) (Eq (class (skS.0 0 a) second) False))
% 3.67/3.84  Clause #44 (by forward demodulation #[43, 15]): ∀ (a : «$ki_world»), Or (Eq False True) (Or (Eq (dest (skS.0 0 a) paris) False) (Eq (class (skS.0 0 a) second) False))
% 3.67/3.84  Clause #45 (by clausification #[44]): ∀ (a : «$ki_world»), Or (Eq (dest (skS.0 0 a) paris) False) (Eq (class (skS.0 0 a) second) False)
% 3.67/3.84  Clause #46 (by forward demodulation #[45, 34]): ∀ (a : «$ki_world»), Or (Eq (dest (skS.0 0 a) paris) False) (Eq True False)
% 3.67/3.84  Clause #47 (by clausification #[46]): ∀ (a : «$ki_world»), Eq (dest (skS.0 0 a) paris) False
% 3.67/3.84  Clause #48 (by superposition #[47, 33]): Eq False True
% 3.67/3.84  Clause #49 (by clausification #[48]): False
% 3.67/3.84  SZS output end Proof for theBenchmark.p
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