%------------------------------------------------------------------------------
% File     : Duper---1.0
% Problem  : SWV573_5 : TPTP v8.1.2. Released v6.0.0.
% 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 22:00:01 EDT 2023

% Result   : Theorem 7.19s 7.40s
% Output   : Proof 7.19s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : SWV573_5 : TPTP v8.1.2. Released v6.0.0.
% 0.07/0.14  % Command    : duper %s
% 0.14/0.35  % Computer : n009.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
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Tue Aug 29 03:55:35 EDT 2023
% 0.14/0.35  % CPUTime    : 
% 7.19/7.40  SZS status Theorem for theBenchmark.p
% 7.19/7.40  SZS output start Proof for theBenchmark.p
% 7.19/7.40  Clause #4 (by assumption #[]): Eq (∀ (N : nat), Eq (re (semiring_1_of_nat complex1 N)) (semiring_1_of_nat real N)) True
% 7.19/7.40  Clause #7 (by assumption #[]): Eq (∀ (N : nat), Eq (im (semiring_1_of_nat complex1 N)) (zero_zero real)) True
% 7.19/7.40  Clause #24 (by assumption #[]): Eq (∀ (Z : complex1), Eq (complex (re Z) (im Z)) Z) True
% 7.19/7.40  Clause #135 (by assumption #[]): Eq (Not (Eq (semiring_1_of_nat complex1 n) (complex (semiring_1_of_nat real n) (zero_zero real)))) True
% 7.19/7.40  Clause #169 (by clausification #[4]): ∀ (a : nat), Eq (Eq (re (semiring_1_of_nat complex1 a)) (semiring_1_of_nat real a)) True
% 7.19/7.40  Clause #170 (by clausification #[169]): ∀ (a : nat), Eq (re (semiring_1_of_nat complex1 a)) (semiring_1_of_nat real a)
% 7.19/7.40  Clause #190 (by clausification #[7]): ∀ (a : nat), Eq (Eq (im (semiring_1_of_nat complex1 a)) (zero_zero real)) True
% 7.19/7.40  Clause #191 (by clausification #[190]): ∀ (a : nat), Eq (im (semiring_1_of_nat complex1 a)) (zero_zero real)
% 7.19/7.40  Clause #514 (by clausification #[24]): ∀ (a : complex1), Eq (Eq (complex (re a) (im a)) a) True
% 7.19/7.40  Clause #515 (by clausification #[514]): ∀ (a : complex1), Eq (complex (re a) (im a)) a
% 7.19/7.40  Clause #516 (by superposition #[515, 191]): ∀ (a : nat), Eq (complex (re (semiring_1_of_nat complex1 a)) (zero_zero real)) (semiring_1_of_nat complex1 a)
% 7.19/7.40  Clause #545 (by forward demodulation #[516, 170]): ∀ (a : nat), Eq (complex (semiring_1_of_nat real a) (zero_zero real)) (semiring_1_of_nat complex1 a)
% 7.19/7.40  Clause #1507 (by clausification #[135]): Eq (Eq (semiring_1_of_nat complex1 n) (complex (semiring_1_of_nat real n) (zero_zero real))) False
% 7.19/7.40  Clause #1508 (by clausification #[1507]): Ne (semiring_1_of_nat complex1 n) (complex (semiring_1_of_nat real n) (zero_zero real))
% 7.19/7.40  Clause #1509 (by forward demodulation #[1508, 545]): Ne (semiring_1_of_nat complex1 n) (semiring_1_of_nat complex1 n)
% 7.19/7.40  Clause #1510 (by eliminate resolved literals #[1509]): False
% 7.19/7.40  SZS output end Proof for theBenchmark.p
%------------------------------------------------------------------------------