%------------------------------------------------------------------------------
% File     : Duper---1.0
% Problem  : SET002+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : duper %s

% Computer : n028.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 14:44:55 EDT 2023

% Result   : Theorem 3.57s 3.74s
% Output   : Proof 3.57s
% 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    : SET002+3 : TPTP v8.1.2. Released v2.2.0.
% 0.00/0.13  % Command    : duper %s
% 0.16/0.34  % Computer : n028.cluster.edu
% 0.16/0.34  % Model    : x86_64 x86_64
% 0.16/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.34  % Memory   : 8042.1875MB
% 0.16/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.34  % CPULimit   : 300
% 0.16/0.34  % WCLimit    : 300
% 0.16/0.34  % DateTime   : Sat Aug 26 09:12:07 EDT 2023
% 0.16/0.35  % CPUTime    : 
% 3.57/3.74  SZS status Theorem for theBenchmark.p
% 3.57/3.74  SZS output start Proof for theBenchmark.p
% 3.57/3.74  Clause #0 (by assumption #[]): Eq (∀ (B C : Iota), subset B C → Eq (union B C) C) True
% 3.57/3.74  Clause #5 (by assumption #[]): Eq (∀ (B : Iota), subset B B) True
% 3.57/3.74  Clause #7 (by assumption #[]): Eq (Not (∀ (B : Iota), Eq (union B B) B)) True
% 3.57/3.74  Clause #8 (by clausification #[5]): ∀ (a : Iota), Eq (subset a a) True
% 3.57/3.74  Clause #9 (by clausification #[7]): Eq (∀ (B : Iota), Eq (union B B) B) False
% 3.57/3.74  Clause #10 (by clausification #[9]): ∀ (a : Iota), Eq (Not (Eq (union (skS.0 0 a) (skS.0 0 a)) (skS.0 0 a))) True
% 3.57/3.74  Clause #11 (by clausification #[10]): ∀ (a : Iota), Eq (Eq (union (skS.0 0 a) (skS.0 0 a)) (skS.0 0 a)) False
% 3.57/3.74  Clause #12 (by clausification #[11]): ∀ (a : Iota), Ne (union (skS.0 0 a) (skS.0 0 a)) (skS.0 0 a)
% 3.57/3.74  Clause #13 (by clausification #[0]): ∀ (a : Iota), Eq (∀ (C : Iota), subset a C → Eq (union a C) C) True
% 3.57/3.74  Clause #14 (by clausification #[13]): ∀ (a a_1 : Iota), Eq (subset a a_1 → Eq (union a a_1) a_1) True
% 3.57/3.74  Clause #15 (by clausification #[14]): ∀ (a a_1 : Iota), Or (Eq (subset a a_1) False) (Eq (Eq (union a a_1) a_1) True)
% 3.57/3.74  Clause #16 (by clausification #[15]): ∀ (a a_1 : Iota), Or (Eq (subset a a_1) False) (Eq (union a a_1) a_1)
% 3.57/3.74  Clause #17 (by superposition #[16, 8]): ∀ (a : Iota), Or (Eq (union a a) a) (Eq False True)
% 3.57/3.74  Clause #18 (by clausification #[17]): ∀ (a : Iota), Eq (union a a) a
% 3.57/3.74  Clause #20 (by backward contextual literal cutting #[18, 12]): False
% 3.57/3.74  SZS output end Proof for theBenchmark.p
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