TSTP Solution File: SET054+1 by Duper---1.0

View Problem - Process Solution

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% File     : Duper---1.0
% Problem  : SET054+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : duper %s

% Computer : n018.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 14:45:20 EDT 2023

% Result   : Theorem 6.11s 6.31s
% Output   : Proof 6.11s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : SET054+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% 0.13/0.15  % Command    : duper %s
% 0.15/0.36  % Computer : n018.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Sat Aug 26 14:58:00 EDT 2023
% 0.15/0.36  % CPUTime    : 
% 6.11/6.31  SZS status Theorem for theBenchmark.p
% 6.11/6.31  SZS output start Proof for theBenchmark.p
% 6.11/6.31  Clause #0 (by assumption #[]): Eq (∀ (X Y : Iota), Iff (subclass X Y) (∀ (U : Iota), member U X → member U Y)) True
% 6.11/6.31  Clause #43 (by assumption #[]): Eq (Not (∀ (X : Iota), subclass X X)) True
% 6.11/6.31  Clause #45 (by clausification #[43]): Eq (∀ (X : Iota), subclass X X) False
% 6.11/6.31  Clause #46 (by clausification #[45]): ∀ (a : Iota), Eq (Not (subclass (skS.0 0 a) (skS.0 0 a))) True
% 6.11/6.31  Clause #47 (by clausification #[46]): ∀ (a : Iota), Eq (subclass (skS.0 0 a) (skS.0 0 a)) False
% 6.11/6.31  Clause #50 (by clausification #[0]): ∀ (a : Iota), Eq (∀ (Y : Iota), Iff (subclass a Y) (∀ (U : Iota), member U a → member U Y)) True
% 6.11/6.31  Clause #51 (by clausification #[50]): ∀ (a a_1 : Iota), Eq (Iff (subclass a a_1) (∀ (U : Iota), member U a → member U a_1)) True
% 6.11/6.31  Clause #52 (by clausification #[51]): ∀ (a a_1 : Iota), Or (Eq (subclass a a_1) True) (Eq (∀ (U : Iota), member U a → member U a_1) False)
% 6.11/6.31  Clause #54 (by clausification #[52]): ∀ (a a_1 a_2 : Iota),
% 6.11/6.31    Or (Eq (subclass a a_1) True) (Eq (Not (member (skS.0 1 a a_1 a_2) a → member (skS.0 1 a a_1 a_2) a_1)) True)
% 6.11/6.31  Clause #55 (by clausification #[54]): ∀ (a a_1 a_2 : Iota),
% 6.11/6.31    Or (Eq (subclass a a_1) True) (Eq (member (skS.0 1 a a_1 a_2) a → member (skS.0 1 a a_1 a_2) a_1) False)
% 6.11/6.31  Clause #56 (by clausification #[55]): ∀ (a a_1 a_2 : Iota), Or (Eq (subclass a a_1) True) (Eq (member (skS.0 1 a a_1 a_2) a) True)
% 6.11/6.31  Clause #57 (by clausification #[55]): ∀ (a a_1 a_2 : Iota), Or (Eq (subclass a a_1) True) (Eq (member (skS.0 1 a a_1 a_2) a_1) False)
% 6.11/6.31  Clause #1339 (by superposition #[57, 56]): ∀ (a : Iota), Or (Eq (subclass a a) True) (Or (Eq (subclass a a) True) (Eq False True))
% 6.11/6.31  Clause #1340 (by clausification #[1339]): ∀ (a : Iota), Or (Eq (subclass a a) True) (Eq (subclass a a) True)
% 6.11/6.31  Clause #1341 (by eliminate duplicate literals #[1340]): ∀ (a : Iota), Eq (subclass a a) True
% 6.11/6.31  Clause #1342 (by superposition #[1341, 47]): Eq True False
% 6.11/6.31  Clause #1345 (by clausification #[1342]): False
% 6.11/6.31  SZS output end Proof for theBenchmark.p
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