%------------------------------------------------------------------------------
% File     : Duper---1.0
% Problem  : KLE076+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : duper %s

% Computer : n003.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 05:28:32 EDT 2023

% Result   : Theorem 3.96s 4.13s
% Output   : Proof 3.96s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem    : KLE076+1 : TPTP v8.1.2. Released v4.0.0.
% 0.04/0.13  % Command    : duper %s
% 0.13/0.34  % Computer : n003.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   : Tue Aug 29 11:38:40 EDT 2023
% 0.13/0.34  % CPUTime    : 
% 3.96/4.13  SZS status Theorem for theBenchmark.p
% 3.96/4.13  SZS output start Proof for theBenchmark.p
% 3.96/4.13  Clause #9 (by assumption #[]): Eq (∀ (A : Iota), Eq (multiplication A zero) zero) True
% 3.96/4.13  Clause #13 (by assumption #[]): Eq (∀ (X0 X1 : Iota), Eq (domain (multiplication X0 X1)) (domain (multiplication X0 (domain X1)))) True
% 3.96/4.13  Clause #15 (by assumption #[]): Eq (Eq (domain zero) zero) True
% 3.96/4.13  Clause #17 (by assumption #[]): Eq (Not (∀ (X0 : Iota), Eq (domain (multiplication X0 (domain zero))) zero)) True
% 3.96/4.13  Clause #18 (by clausification #[15]): Eq (domain zero) zero
% 3.96/4.13  Clause #23 (by clausification #[9]): ∀ (a : Iota), Eq (Eq (multiplication a zero) zero) True
% 3.96/4.13  Clause #24 (by clausification #[23]): ∀ (a : Iota), Eq (multiplication a zero) zero
% 3.96/4.13  Clause #171 (by clausification #[13]): ∀ (a : Iota), Eq (∀ (X1 : Iota), Eq (domain (multiplication a X1)) (domain (multiplication a (domain X1)))) True
% 3.96/4.13  Clause #172 (by clausification #[171]): ∀ (a a_1 : Iota), Eq (Eq (domain (multiplication a a_1)) (domain (multiplication a (domain a_1)))) True
% 3.96/4.13  Clause #173 (by clausification #[172]): ∀ (a a_1 : Iota), Eq (domain (multiplication a a_1)) (domain (multiplication a (domain a_1)))
% 3.96/4.13  Clause #210 (by clausification #[17]): Eq (∀ (X0 : Iota), Eq (domain (multiplication X0 (domain zero))) zero) False
% 3.96/4.13  Clause #211 (by clausification #[210]): ∀ (a : Iota), Eq (Not (Eq (domain (multiplication (skS.0 0 a) (domain zero))) zero)) True
% 3.96/4.13  Clause #212 (by clausification #[211]): ∀ (a : Iota), Eq (Eq (domain (multiplication (skS.0 0 a) (domain zero))) zero) False
% 3.96/4.13  Clause #213 (by clausification #[212]): ∀ (a : Iota), Ne (domain (multiplication (skS.0 0 a) (domain zero))) zero
% 3.96/4.13  Clause #214 (by forward demodulation #[213, 173]): ∀ (a : Iota), Ne (domain (multiplication (skS.0 0 a) zero)) zero
% 3.96/4.13  Clause #215 (by forward demodulation #[214, 24]): Ne (domain zero) zero
% 3.96/4.13  Clause #216 (by forward demodulation #[215, 18]): Ne zero zero
% 3.96/4.13  Clause #217 (by eliminate resolved literals #[216]): False
% 3.96/4.13  SZS output end Proof for theBenchmark.p
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