TSTP Solution File: SET687+4 by Duper---1.0

View Problem - Process Solution

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% File     : Duper---1.0
% Problem  : SET687+4 : TPTP v8.1.2. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : duper %s

% Computer : n026.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 14:47:22 EDT 2023

% Result   : Theorem 4.10s 4.34s
% Output   : Proof 4.10s
% 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    : SET687+4 : TPTP v8.1.2. Released v2.2.0.
% 0.00/0.14  % Command    : duper %s
% 0.16/0.36  % Computer : n026.cluster.edu
% 0.16/0.36  % Model    : x86_64 x86_64
% 0.16/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36  % Memory   : 8042.1875MB
% 0.16/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36  % CPULimit   : 300
% 0.16/0.36  % WCLimit    : 300
% 0.16/0.36  % DateTime   : Sat Aug 26 12:40:48 EDT 2023
% 0.16/0.36  % CPUTime    : 
% 4.10/4.34  SZS status Theorem for theBenchmark.p
% 4.10/4.34  SZS output start Proof for theBenchmark.p
% 4.10/4.34  Clause #0 (by assumption #[]): Eq (∀ (A B : Iota), Iff (subset A B) (∀ (X : Iota), member X A → member X B)) True
% 4.10/4.34  Clause #11 (by assumption #[]): Eq (Not (∀ (A : Iota), subset A A)) True
% 4.10/4.34  Clause #12 (by clausification #[11]): Eq (∀ (A : Iota), subset A A) False
% 4.10/4.34  Clause #13 (by clausification #[12]): ∀ (a : Iota), Eq (Not (subset (skS.0 0 a) (skS.0 0 a))) True
% 4.10/4.34  Clause #14 (by clausification #[13]): ∀ (a : Iota), Eq (subset (skS.0 0 a) (skS.0 0 a)) False
% 4.10/4.34  Clause #27 (by clausification #[0]): ∀ (a : Iota), Eq (∀ (B : Iota), Iff (subset a B) (∀ (X : Iota), member X a → member X B)) True
% 4.10/4.34  Clause #28 (by clausification #[27]): ∀ (a a_1 : Iota), Eq (Iff (subset a a_1) (∀ (X : Iota), member X a → member X a_1)) True
% 4.10/4.34  Clause #29 (by clausification #[28]): ∀ (a a_1 : Iota), Or (Eq (subset a a_1) True) (Eq (∀ (X : Iota), member X a → member X a_1) False)
% 4.10/4.34  Clause #31 (by clausification #[29]): ∀ (a a_1 a_2 : Iota),
% 4.10/4.34    Or (Eq (subset 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)
% 4.10/4.34  Clause #32 (by clausification #[31]): ∀ (a a_1 a_2 : Iota),
% 4.10/4.34    Or (Eq (subset 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)
% 4.10/4.34  Clause #33 (by clausification #[32]): ∀ (a a_1 a_2 : Iota), Or (Eq (subset a a_1) True) (Eq (member (skS.0 1 a a_1 a_2) a) True)
% 4.10/4.34  Clause #34 (by clausification #[32]): ∀ (a a_1 a_2 : Iota), Or (Eq (subset a a_1) True) (Eq (member (skS.0 1 a a_1 a_2) a_1) False)
% 4.10/4.34  Clause #254 (by superposition #[34, 33]): ∀ (a : Iota), Or (Eq (subset a a) True) (Or (Eq (subset a a) True) (Eq False True))
% 4.10/4.34  Clause #329 (by clausification #[254]): ∀ (a : Iota), Or (Eq (subset a a) True) (Eq (subset a a) True)
% 4.10/4.34  Clause #330 (by eliminate duplicate literals #[329]): ∀ (a : Iota), Eq (subset a a) True
% 4.10/4.34  Clause #331 (by superposition #[330, 14]): Eq True False
% 4.10/4.34  Clause #336 (by clausification #[331]): False
% 4.10/4.34  SZS output end Proof for theBenchmark.p
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