%------------------------------------------------------------------------------
% File     : Duper---1.0
% Problem  : ITP094^1 : TPTP v8.1.2. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : duper %s

% Computer : n022.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 03:38:43 EDT 2023

% Result   : Theorem 144.06s 144.29s
% Output   : Proof 144.06s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : ITP094^1 : TPTP v8.1.2. Released v7.5.0.
% 0.00/0.13  % Command    : duper %s
% 0.13/0.34  % Computer : n022.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   : Sun Aug 27 14:28:09 EDT 2023
% 0.13/0.34  % CPUTime    : 
% 144.06/144.29  SZS status Theorem for theBenchmark.p
% 144.06/144.29  SZS output start Proof for theBenchmark.p
% 144.06/144.29  Clause #2 (by assumption #[]): Eq
% 144.06/144.29    (∀ (P : poly_real),
% 144.06/144.29      Ne P zero_zero_poly_real → finite_finite_real (collect_real fun X => Eq (poly_real2 P X) zero_zero_real))
% 144.06/144.29    True
% 144.06/144.29  Clause #4 (by assumption #[]): Eq (Ne (pderiv_real p) zero_zero_poly_real) True
% 144.06/144.29  Clause #323 (by assumption #[]): Eq (Not (finite_finite_real (collect_real fun X => Eq (poly_real2 (pderiv_real p) X) zero_zero_real))) True
% 144.06/144.29  Clause #365 (by clausification #[2]): ∀ (a : poly_real),
% 144.06/144.29    Eq (Ne a zero_zero_poly_real → finite_finite_real (collect_real fun X => Eq (poly_real2 a X) zero_zero_real)) True
% 144.06/144.29  Clause #366 (by clausification #[365]): ∀ (a : poly_real),
% 144.06/144.29    Or (Eq (Ne a zero_zero_poly_real) False)
% 144.06/144.29      (Eq (finite_finite_real (collect_real fun X => Eq (poly_real2 a X) zero_zero_real)) True)
% 144.06/144.29  Clause #367 (by clausification #[366]): ∀ (a : poly_real),
% 144.06/144.29    Or (Eq (finite_finite_real (collect_real fun X => Eq (poly_real2 a X) zero_zero_real)) True)
% 144.06/144.29      (Eq a zero_zero_poly_real)
% 144.06/144.29  Clause #422 (by clausification #[4]): Ne (pderiv_real p) zero_zero_poly_real
% 144.06/144.29  Clause #43792 (by clausification #[323]): Eq (finite_finite_real (collect_real fun X => Eq (poly_real2 (pderiv_real p) X) zero_zero_real)) False
% 144.06/144.29  Clause #43793 (by superposition #[43792, 367]): Or (Eq False True) (Eq (pderiv_real p) zero_zero_poly_real)
% 144.06/144.29  Clause #43808 (by clausification #[43793]): Eq (pderiv_real p) zero_zero_poly_real
% 144.06/144.29  Clause #43809 (by forward contextual literal cutting #[43808, 422]): False
% 144.06/144.29  SZS output end Proof for theBenchmark.p
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