TSTP Solution File: NLP267_17 by Duper---1.0

View Problem - Process Solution

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% File     : Duper---1.0
% Problem  : NLP267_17 : TPTP v8.2.0. Released v8.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : duper %s

% Computer : n007.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 09:44:37 EDT 2023

% Result   : Theorem 3.53s 3.78s
% Output   : Proof 3.62s
% 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_17 : TPTP v8.2.0. Released v8.2.0.
% 0.00/0.13  % Command    : duper %s
% 0.12/0.34  % Computer : n007.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Thu Aug 24 10:44:10 EDT 2023
% 0.12/0.34  % CPUTime    : 
% 3.53/3.78  SZS status Theorem for theBenchmark.p
% 3.53/3.78  SZS output start Proof for theBenchmark.p
% 3.53/3.78  Clause #0 (by assumption #[]): Eq (∀ (W V : «$ki_world»), «$ki_accessible» #idx(b_s) W V) True
% 3.53/3.78  Clause #3 (by assumption #[]): Eq
% 3.53/3.78    (∀ (W : «$ki_world»),
% 3.53/3.78      «$ki_accessible» #idx(b_s) «$ki_local_world» W → And (dest W paris) (class W second) → price W seventy)
% 3.53/3.78    True
% 3.53/3.78  Clause #8 (by assumption #[]): Eq (∀ (W : «$ki_world»), «$ki_accessible» #idx(b_s) «$ki_local_world» W → And (dest W paris) (class W second)) True
% 3.53/3.78  Clause #9 (by assumption #[]): Eq (Not (∀ (W : «$ki_world»), «$ki_accessible» #idx(b_s) «$ki_local_world» W → price W seventy)) True
% 3.53/3.78  Clause #10 (by clausification #[9]): Eq (∀ (W : «$ki_world»), «$ki_accessible» #idx(b_s) «$ki_local_world» W → price W seventy) False
% 3.53/3.78  Clause #11 (by clausification #[10]): ∀ (a : «$ki_world»),
% 3.53/3.78    Eq (Not («$ki_accessible» #idx(b_s) «$ki_local_world» (skS.0 0 a) → price (skS.0 0 a) seventy)) True
% 3.53/3.78  Clause #12 (by clausification #[11]): ∀ (a : «$ki_world»), Eq («$ki_accessible» #idx(b_s) «$ki_local_world» (skS.0 0 a) → price (skS.0 0 a) seventy) False
% 3.53/3.78  Clause #14 (by clausification #[12]): ∀ (a : «$ki_world»), Eq (price (skS.0 0 a) seventy) False
% 3.53/3.78  Clause #15 (by clausification #[3]): ∀ (a : «$ki_world»),
% 3.53/3.78    Eq («$ki_accessible» #idx(b_s) «$ki_local_world» a → And (dest a paris) (class a second) → price a seventy) True
% 3.53/3.78  Clause #16 (by clausification #[15]): ∀ (a : «$ki_world»),
% 3.53/3.78    Or (Eq («$ki_accessible» #idx(b_s) «$ki_local_world» a) False)
% 3.53/3.78      (Eq (And (dest a paris) (class a second) → price a seventy) True)
% 3.53/3.78  Clause #17 (by clausification #[16]): ∀ (a : «$ki_world»),
% 3.53/3.78    Or (Eq («$ki_accessible» #idx(b_s) «$ki_local_world» a) False)
% 3.53/3.78      (Or (Eq (And (dest a paris) (class a second)) False) (Eq (price a seventy) True))
% 3.53/3.78  Clause #18 (by clausification #[17]): ∀ (a : «$ki_world»),
% 3.53/3.78    Or (Eq («$ki_accessible» #idx(b_s) «$ki_local_world» a) False)
% 3.53/3.78      (Or (Eq (price a seventy) True) (Or (Eq (dest a paris) False) (Eq (class a second) False)))
% 3.53/3.78  Clause #27 (by clausification #[0]): ∀ (a : «$ki_world»), Eq (∀ (V : «$ki_world»), «$ki_accessible» #idx(b_s) a V) True
% 3.53/3.78  Clause #28 (by clausification #[27]): ∀ (a a_1 : «$ki_world»), Eq («$ki_accessible» #idx(b_s) a a_1) True
% 3.53/3.78  Clause #29 (by superposition #[28, 18]): ∀ (a : «$ki_world»),
% 3.53/3.78    Or (Eq True False) (Or (Eq (price a seventy) True) (Or (Eq (dest a paris) False) (Eq (class a second) False)))
% 3.53/3.78  Clause #36 (by clausification #[8]): ∀ (a : «$ki_world»), Eq («$ki_accessible» #idx(b_s) «$ki_local_world» a → And (dest a paris) (class a second)) True
% 3.53/3.78  Clause #37 (by clausification #[36]): ∀ (a : «$ki_world»),
% 3.53/3.78    Or (Eq («$ki_accessible» #idx(b_s) «$ki_local_world» a) False) (Eq (And (dest a paris) (class a second)) True)
% 3.53/3.78  Clause #38 (by clausification #[37]): ∀ (a : «$ki_world»), Or (Eq («$ki_accessible» #idx(b_s) «$ki_local_world» a) False) (Eq (class a second) True)
% 3.53/3.78  Clause #39 (by clausification #[37]): ∀ (a : «$ki_world»), Or (Eq («$ki_accessible» #idx(b_s) «$ki_local_world» a) False) (Eq (dest a paris) True)
% 3.53/3.78  Clause #40 (by superposition #[38, 28]): ∀ (a : «$ki_world»), Or (Eq (class a second) True) (Eq False True)
% 3.53/3.78  Clause #41 (by clausification #[40]): ∀ (a : «$ki_world»), Eq (class a second) True
% 3.53/3.78  Clause #45 (by superposition #[39, 28]): ∀ (a : «$ki_world»), Or (Eq (dest a paris) True) (Eq False True)
% 3.53/3.78  Clause #56 (by clausification #[45]): ∀ (a : «$ki_world»), Eq (dest a paris) True
% 3.53/3.78  Clause #71 (by clausification #[29]): ∀ (a : «$ki_world»), Or (Eq (price a seventy) True) (Or (Eq (dest a paris) False) (Eq (class a second) False))
% 3.53/3.78  Clause #72 (by forward demodulation #[71, 41]): ∀ (a : «$ki_world»), Or (Eq (price a seventy) True) (Or (Eq (dest a paris) False) (Eq True False))
% 3.53/3.78  Clause #73 (by clausification #[72]): ∀ (a : «$ki_world»), Or (Eq (price a seventy) True) (Eq (dest a paris) False)
% 3.53/3.78  Clause #74 (by superposition #[73, 56]): ∀ (a : «$ki_world»), Or (Eq (price a seventy) True) (Eq False True)
% 3.53/3.78  Clause #75 (by clausification #[74]): ∀ (a : «$ki_world»), Eq (price a seventy) True
% 3.62/3.78  Clause #78 (by superposition #[75, 14]): Eq True False
% 3.62/3.78  Clause #79 (by clausification #[78]): False
% 3.62/3.78  SZS output end Proof for theBenchmark.p
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