TSTP Solution File: KRS178+1 by Duper---1.0

View Problem - Process Solution

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% File     : Duper---1.0
% Problem  : KRS178+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : duper %s

% Computer : n025.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 05:43:37 EDT 2023

% Result   : Theorem 3.67s 3.89s
% 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    : KRS178+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% 0.00/0.13  % Command    : duper %s
% 0.13/0.34  % Computer : n025.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   : Mon Aug 28 02:21:24 EDT 2023
% 0.13/0.35  % CPUTime    : 
% 3.67/3.89  SZS status Theorem for theBenchmark.p
% 3.67/3.89  SZS output start Proof for theBenchmark.p
% 3.67/3.89  Clause #1 (by assumption #[]): Eq (∀ (S1 S2 : Iota), Iff (∀ (Ax C : Iota), status Ax C S1 → status Ax C S2) (isa S1 S2)) True
% 3.67/3.89  Clause #13 (by assumption #[]): Eq (Not (∀ (S1 : Iota), isa S1 S1)) True
% 3.67/3.89  Clause #14 (by clausification #[13]): Eq (∀ (S1 : Iota), isa S1 S1) False
% 3.67/3.89  Clause #15 (by clausification #[14]): ∀ (a : Iota), Eq (Not (isa (skS.0 0 a) (skS.0 0 a))) True
% 3.67/3.89  Clause #16 (by clausification #[15]): ∀ (a : Iota), Eq (isa (skS.0 0 a) (skS.0 0 a)) False
% 3.67/3.89  Clause #45 (by clausification #[1]): ∀ (a : Iota), Eq (∀ (S2 : Iota), Iff (∀ (Ax C : Iota), status Ax C a → status Ax C S2) (isa a S2)) True
% 3.67/3.89  Clause #46 (by clausification #[45]): ∀ (a a_1 : Iota), Eq (Iff (∀ (Ax C : Iota), status Ax C a → status Ax C a_1) (isa a a_1)) True
% 3.67/3.89  Clause #48 (by clausification #[46]): ∀ (a a_1 : Iota), Or (Eq (∀ (Ax C : Iota), status Ax C a → status Ax C a_1) False) (Eq (isa a a_1) True)
% 3.67/3.89  Clause #52 (by clausification #[48]): ∀ (a a_1 a_2 : Iota),
% 3.67/3.89    Or (Eq (isa a a_1) True)
% 3.67/3.89      (Eq (Not (∀ (C : Iota), status (skS.0 5 a a_1 a_2) C a → status (skS.0 5 a a_1 a_2) C a_1)) True)
% 3.67/3.89  Clause #53 (by clausification #[52]): ∀ (a a_1 a_2 : Iota),
% 3.67/3.89    Or (Eq (isa a a_1) True) (Eq (∀ (C : Iota), status (skS.0 5 a a_1 a_2) C a → status (skS.0 5 a a_1 a_2) C a_1) False)
% 3.67/3.89  Clause #54 (by clausification #[53]): ∀ (a a_1 a_2 a_3 : Iota),
% 3.67/3.89    Or (Eq (isa a a_1) True)
% 3.67/3.89      (Eq
% 3.67/3.89        (Not
% 3.67/3.89          (status (skS.0 5 a a_1 a_2) (skS.0 6 a a_1 a_2 a_3) a → status (skS.0 5 a a_1 a_2) (skS.0 6 a a_1 a_2 a_3) a_1))
% 3.67/3.89        True)
% 3.67/3.89  Clause #55 (by clausification #[54]): ∀ (a a_1 a_2 a_3 : Iota),
% 3.67/3.89    Or (Eq (isa a a_1) True)
% 3.67/3.89      (Eq (status (skS.0 5 a a_1 a_2) (skS.0 6 a a_1 a_2 a_3) a → status (skS.0 5 a a_1 a_2) (skS.0 6 a a_1 a_2 a_3) a_1)
% 3.67/3.89        False)
% 3.67/3.89  Clause #56 (by clausification #[55]): ∀ (a a_1 a_2 a_3 : Iota), Or (Eq (isa a a_1) True) (Eq (status (skS.0 5 a a_1 a_2) (skS.0 6 a a_1 a_2 a_3) a) True)
% 3.67/3.89  Clause #57 (by clausification #[55]): ∀ (a a_1 a_2 a_3 : Iota), Or (Eq (isa a a_1) True) (Eq (status (skS.0 5 a a_1 a_2) (skS.0 6 a a_1 a_2 a_3) a_1) False)
% 3.67/3.89  Clause #149 (by superposition #[57, 56]): ∀ (a : Iota), Or (Eq (isa a a) True) (Or (Eq (isa a a) True) (Eq False True))
% 3.67/3.89  Clause #150 (by clausification #[149]): ∀ (a : Iota), Or (Eq (isa a a) True) (Eq (isa a a) True)
% 3.67/3.89  Clause #151 (by eliminate duplicate literals #[150]): ∀ (a : Iota), Eq (isa a a) True
% 3.67/3.89  Clause #152 (by superposition #[151, 16]): Eq True False
% 3.67/3.89  Clause #154 (by clausification #[152]): False
% 3.67/3.89  SZS output end Proof for theBenchmark.p
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