%------------------------------------------------------------------------------
% File     : Duper---1.0
% Problem  : KLE138+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : duper %s

% Computer : n009.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 05:28:41 EDT 2023

% Result   : Theorem 3.71s 3.93s
% Output   : Proof 3.71s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : KLE138+1 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.13  % Command    : duper %s
% 0.13/0.34  % Computer : n009.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
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Tue Aug 29 11:51:05 EDT 2023
% 0.13/0.35  % CPUTime    : 
% 3.71/3.93  SZS status Theorem for theBenchmark.p
% 3.71/3.93  SZS output start Proof for theBenchmark.p
% 3.71/3.93  Clause #0 (by assumption #[]): Eq (∀ (A B : Iota), Eq (addition A B) (addition B A)) True
% 3.71/3.93  Clause #2 (by assumption #[]): Eq (∀ (A : Iota), Eq (addition A zero) A) True
% 3.71/3.93  Clause #9 (by assumption #[]): Eq (∀ (A : Iota), Eq (multiplication zero A) zero) True
% 3.71/3.93  Clause #14 (by assumption #[]): Eq (∀ (A : Iota), Eq (strong_iteration A) (addition (multiplication A (strong_iteration A)) one)) True
% 3.71/3.93  Clause #18 (by assumption #[]): Eq (Not (Eq (strong_iteration zero) one)) True
% 3.71/3.93  Clause #19 (by clausification #[18]): Eq (Eq (strong_iteration zero) one) False
% 3.71/3.93  Clause #20 (by clausification #[19]): Ne (strong_iteration zero) one
% 3.71/3.93  Clause #21 (by clausification #[9]): ∀ (a : Iota), Eq (Eq (multiplication zero a) zero) True
% 3.71/3.93  Clause #22 (by clausification #[21]): ∀ (a : Iota), Eq (multiplication zero a) zero
% 3.71/3.93  Clause #27 (by clausification #[2]): ∀ (a : Iota), Eq (Eq (addition a zero) a) True
% 3.71/3.93  Clause #28 (by clausification #[27]): ∀ (a : Iota), Eq (addition a zero) a
% 3.71/3.93  Clause #29 (by clausification #[0]): ∀ (a : Iota), Eq (∀ (B : Iota), Eq (addition a B) (addition B a)) True
% 3.71/3.93  Clause #30 (by clausification #[29]): ∀ (a a_1 : Iota), Eq (Eq (addition a a_1) (addition a_1 a)) True
% 3.71/3.93  Clause #31 (by clausification #[30]): ∀ (a a_1 : Iota), Eq (addition a a_1) (addition a_1 a)
% 3.71/3.93  Clause #32 (by superposition #[31, 28]): ∀ (a : Iota), Eq (addition zero a) a
% 3.71/3.93  Clause #209 (by clausification #[14]): ∀ (a : Iota), Eq (Eq (strong_iteration a) (addition (multiplication a (strong_iteration a)) one)) True
% 3.71/3.93  Clause #210 (by clausification #[209]): ∀ (a : Iota), Eq (strong_iteration a) (addition (multiplication a (strong_iteration a)) one)
% 3.71/3.93  Clause #219 (by superposition #[210, 22]): Eq (strong_iteration zero) (addition zero one)
% 3.71/3.93  Clause #222 (by superposition #[219, 32]): Eq (strong_iteration zero) one
% 3.71/3.93  Clause #228 (by forward contextual literal cutting #[222, 20]): False
% 3.71/3.93  SZS output end Proof for theBenchmark.p
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