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Duper---1.0.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : Duper---1.0
% Problem  : ITP114^1 : TPTP v9.2.0. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : duper %s

% Computer : n031.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 : Fri Oct  3 07:51:15 PM UTC 2025

% Result   : Theorem 5.16s 5.36s
% Output   : Proof 5.16s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : ITP114^1 : TPTP v9.2.0. Released v7.5.0.
% 0.12/0.13  % Command    : duper %s
% 0.14/0.34  % Computer : n031.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Thu Oct  2 23:36:23 EDT 2025
% 0.14/0.35  % CPUTime    : 
% 5.16/5.36  SZS status Theorem for theBenchmark.p
% 5.16/5.36  SZS output start Proof for theBenchmark.p
% 5.16/5.36  Clause #0 (by assumption #[]): Eq (∀ (X : a), ord_le824540014_ereal (g X) (f X)) True
% 5.16/5.36  Clause #308 (by assumption #[]): Eq (Not (ord_le824540014_ereal (g x) (f x))) True
% 5.16/5.36  Clause #314 (by clausification #[0]): ∀ (a : a), Eq (ord_le824540014_ereal (g a) (f a)) True
% 5.16/5.36  Clause #1194 (by clausification #[308]): Eq (ord_le824540014_ereal (g x) (f x)) False
% 5.16/5.36  Clause #1195 (by superposition #[1194, 314]): Eq False True
% 5.16/5.36  Clause #1197 (by clausification #[1195]): False
% 5.16/5.36  SZS output end Proof for theBenchmark.p
%------------------------------------------------------------------------------