%------------------------------------------------------------------------------
% File     : Duper---1.0
% Problem  : SET604+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : duper %s

% Computer : n027.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 14:47:01 EDT 2023

% Result   : Theorem 5.22s 5.40s
% Output   : Proof 5.22s
% 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    : SET604+3 : TPTP v8.1.2. Released v2.2.0.
% 0.00/0.14  % Command    : duper %s
% 0.14/0.35  % Computer : n027.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Sat Aug 26 12:58:20 EDT 2023
% 0.14/0.36  % CPUTime    : 
% 5.22/5.40  SZS status Theorem for theBenchmark.p
% 5.22/5.40  SZS output start Proof for theBenchmark.p
% 5.22/5.40  Clause #0 (by assumption #[]): Eq (∀ (B : Iota), subset empty_set B) True
% 5.22/5.40  Clause #1 (by assumption #[]): Eq (∀ (B C : Iota), Iff (Eq (difference B C) empty_set) (subset B C)) True
% 5.22/5.40  Clause #8 (by assumption #[]): Eq (Not (∀ (B : Iota), Eq (difference empty_set B) empty_set)) True
% 5.22/5.40  Clause #10 (by clausification #[0]): ∀ (a : Iota), Eq (subset empty_set a) True
% 5.22/5.40  Clause #13 (by clausification #[8]): Eq (∀ (B : Iota), Eq (difference empty_set B) empty_set) False
% 5.22/5.40  Clause #14 (by clausification #[13]): ∀ (a : Iota), Eq (Not (Eq (difference empty_set (skS.0 0 a)) empty_set)) True
% 5.22/5.40  Clause #15 (by clausification #[14]): ∀ (a : Iota), Eq (Eq (difference empty_set (skS.0 0 a)) empty_set) False
% 5.22/5.40  Clause #16 (by clausification #[15]): ∀ (a : Iota), Ne (difference empty_set (skS.0 0 a)) empty_set
% 5.22/5.40  Clause #24 (by clausification #[1]): ∀ (a : Iota), Eq (∀ (C : Iota), Iff (Eq (difference a C) empty_set) (subset a C)) True
% 5.22/5.40  Clause #25 (by clausification #[24]): ∀ (a a_1 : Iota), Eq (Iff (Eq (difference a a_1) empty_set) (subset a a_1)) True
% 5.22/5.40  Clause #26 (by clausification #[25]): ∀ (a a_1 : Iota), Or (Eq (Eq (difference a a_1) empty_set) True) (Eq (subset a a_1) False)
% 5.22/5.40  Clause #28 (by clausification #[26]): ∀ (a a_1 : Iota), Or (Eq (subset a a_1) False) (Eq (difference a a_1) empty_set)
% 5.22/5.40  Clause #29 (by superposition #[28, 10]): ∀ (a : Iota), Or (Eq (difference empty_set a) empty_set) (Eq False True)
% 5.22/5.40  Clause #33 (by clausification #[29]): ∀ (a : Iota), Eq (difference empty_set a) empty_set
% 5.22/5.40  Clause #35 (by backward contextual literal cutting #[33, 16]): False
% 5.22/5.40  SZS output end Proof for theBenchmark.p
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