%------------------------------------------------------------------------------
% File     : Duper---1.0
% Problem  : SET062+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : duper %s

% Computer : n020.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 14:45:23 EDT 2023

% Result   : Theorem 3.76s 3.93s
% Output   : Proof 3.76s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem    : SET062+3 : TPTP v8.1.2. Released v2.2.0.
% 0.12/0.13  % Command    : duper %s
% 0.13/0.34  % Computer : n020.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   : Sat Aug 26 12:12:14 EDT 2023
% 0.13/0.34  % CPUTime    : 
% 3.76/3.93  SZS status Theorem for theBenchmark.p
% 3.76/3.93  SZS output start Proof for theBenchmark.p
% 3.76/3.93  Clause #0 (by assumption #[]): Eq (∀ (B : Iota), Not (member B empty_set)) True
% 3.76/3.93  Clause #1 (by assumption #[]): Eq (∀ (B C : Iota), Iff (subset B C) (∀ (D : Iota), member D B → member D C)) True
% 3.76/3.93  Clause #4 (by assumption #[]): Eq (Not (∀ (B : Iota), subset empty_set B)) True
% 3.76/3.93  Clause #6 (by clausification #[0]): ∀ (a : Iota), Eq (Not (member a empty_set)) True
% 3.76/3.93  Clause #7 (by clausification #[6]): ∀ (a : Iota), Eq (member a empty_set) False
% 3.76/3.93  Clause #8 (by clausification #[4]): Eq (∀ (B : Iota), subset empty_set B) False
% 3.76/3.93  Clause #9 (by clausification #[8]): ∀ (a : Iota), Eq (Not (subset empty_set (skS.0 0 a))) True
% 3.76/3.93  Clause #10 (by clausification #[9]): ∀ (a : Iota), Eq (subset empty_set (skS.0 0 a)) False
% 3.76/3.93  Clause #19 (by clausification #[1]): ∀ (a : Iota), Eq (∀ (C : Iota), Iff (subset a C) (∀ (D : Iota), member D a → member D C)) True
% 3.76/3.93  Clause #20 (by clausification #[19]): ∀ (a a_1 : Iota), Eq (Iff (subset a a_1) (∀ (D : Iota), member D a → member D a_1)) True
% 3.76/3.93  Clause #21 (by clausification #[20]): ∀ (a a_1 : Iota), Or (Eq (subset a a_1) True) (Eq (∀ (D : Iota), member D a → member D a_1) False)
% 3.76/3.93  Clause #23 (by clausification #[21]): ∀ (a a_1 a_2 : Iota),
% 3.76/3.93    Or (Eq (subset a a_1) True) (Eq (Not (member (skS.0 2 a a_1 a_2) a → member (skS.0 2 a a_1 a_2) a_1)) True)
% 3.76/3.93  Clause #24 (by clausification #[23]): ∀ (a a_1 a_2 : Iota),
% 3.76/3.93    Or (Eq (subset a a_1) True) (Eq (member (skS.0 2 a a_1 a_2) a → member (skS.0 2 a a_1 a_2) a_1) False)
% 3.76/3.93  Clause #25 (by clausification #[24]): ∀ (a a_1 a_2 : Iota), Or (Eq (subset a a_1) True) (Eq (member (skS.0 2 a a_1 a_2) a) True)
% 3.76/3.93  Clause #27 (by superposition #[25, 7]): ∀ (a : Iota), Or (Eq (subset empty_set a) True) (Eq True False)
% 3.76/3.93  Clause #28 (by clausification #[27]): ∀ (a : Iota), Eq (subset empty_set a) True
% 3.76/3.93  Clause #29 (by superposition #[28, 10]): Eq True False
% 3.76/3.93  Clause #30 (by clausification #[29]): False
% 3.76/3.93  SZS output end Proof for theBenchmark.p
%------------------------------------------------------------------------------