%------------------------------------------------------------------------------
% File     : Duper---1.0
% Problem  : COM122_5 : TPTP v8.1.2. Released v6.0.0.
% 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 : Wed Aug 30 18:38:24 EDT 2023

% Result   : Theorem 3.79s 4.00s
% Output   : Proof 3.79s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : COM122_5 : TPTP v8.1.2. Released v6.0.0.
% 0.15/0.14  % Command    : duper %s
% 0.15/0.35  % Computer : n020.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 300
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Tue Aug 29 12:51:43 EDT 2023
% 0.15/0.35  % CPUTime    : 
% 3.79/4.00  SZS status Theorem for theBenchmark.p
% 3.79/4.00  SZS output start Proof for theBenchmark.p
% 3.79/4.00  Clause #2 (by assumption #[]): Eq
% 3.79/4.00    (∀ (X : atom),
% 3.79/4.00      member atom X (aa (list atom) (fun atom bool) (set atom) as) → Ne (aa atom int hd_coeff X) (zero_zero int))
% 3.79/4.00    True
% 3.79/4.00  Clause #3 (by assumption #[]): Eq (member atom b (aa (list atom) (fun atom bool) (set atom) as)) True
% 3.79/4.00  Clause #112 (by assumption #[]): Eq (Not (Ne (aa atom int hd_coeff b) (zero_zero int))) True
% 3.79/4.00  Clause #116 (by clausification #[2]): ∀ (a : atom),
% 3.79/4.00    Eq (member atom a (aa (list atom) (fun atom bool) (set atom) as) → Ne (aa atom int hd_coeff a) (zero_zero int)) True
% 3.79/4.00  Clause #117 (by clausification #[116]): ∀ (a : atom),
% 3.79/4.00    Or (Eq (member atom a (aa (list atom) (fun atom bool) (set atom) as)) False)
% 3.79/4.00      (Eq (Ne (aa atom int hd_coeff a) (zero_zero int)) True)
% 3.79/4.00  Clause #118 (by clausification #[117]): ∀ (a : atom),
% 3.79/4.00    Or (Eq (member atom a (aa (list atom) (fun atom bool) (set atom) as)) False)
% 3.79/4.00      (Ne (aa atom int hd_coeff a) (zero_zero int))
% 3.79/4.00  Clause #129 (by superposition #[3, 118]): Or (Ne (aa atom int hd_coeff b) (zero_zero int)) (Eq False True)
% 3.79/4.00  Clause #222 (by clausification #[129]): Ne (aa atom int hd_coeff b) (zero_zero int)
% 3.79/4.00  Clause #315 (by clausification #[112]): Eq (Ne (aa atom int hd_coeff b) (zero_zero int)) False
% 3.79/4.00  Clause #316 (by clausification #[315]): Eq (aa atom int hd_coeff b) (zero_zero int)
% 3.79/4.00  Clause #317 (by forward contextual literal cutting #[316, 222]): False
% 3.79/4.00  SZS output end Proof for theBenchmark.p
%------------------------------------------------------------------------------