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Duper---1.0.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : Duper---1.0
% Problem  : ITP196^1 : TPTP v9.2.0. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : duper %s

% Computer : n014.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 07:51:24 PM UTC 2025

% Result   : Theorem 3.92s 4.13s
% Output   : Proof 3.92s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem    : ITP196^1 : TPTP v9.2.0. Released v7.5.0.
% 0.10/0.13  % Command    : duper %s
% 0.12/0.33  % Computer : n014.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Fri Oct  3 00:44:08 EDT 2025
% 0.12/0.34  % CPUTime    : 
% 3.92/4.13  SZS status Theorem for theBenchmark.p
% 3.92/4.13  SZS output start Proof for theBenchmark.p
% 3.92/4.13  Clause #0 (by assumption #[]): Eq (∀ (Ps : list_poly_real), sturm_891428828rm_seq Ps → Ne Ps nil_poly_real) True
% 3.92/4.13  Clause #338 (by assumption #[]): Eq (Not (Not (sturm_891428828rm_seq nil_poly_real))) True
% 3.92/4.13  Clause #339 (by clausification #[338]): Eq (Not (sturm_891428828rm_seq nil_poly_real)) False
% 3.92/4.13  Clause #340 (by clausification #[339]): Eq (sturm_891428828rm_seq nil_poly_real) True
% 3.92/4.13  Clause #341 (by clausification #[0]): ∀ (a : list_poly_real), Eq (sturm_891428828rm_seq a → Ne a nil_poly_real) True
% 3.92/4.13  Clause #342 (by clausification #[341]): ∀ (a : list_poly_real), Or (Eq (sturm_891428828rm_seq a) False) (Eq (Ne a nil_poly_real) True)
% 3.92/4.13  Clause #343 (by clausification #[342]): ∀ (a : list_poly_real), Or (Eq (sturm_891428828rm_seq a) False) (Ne a nil_poly_real)
% 3.92/4.13  Clause #344 (by destructive equality resolution #[343]): Eq (sturm_891428828rm_seq nil_poly_real) False
% 3.92/4.13  Clause #345 (by superposition #[344, 340]): Eq False True
% 3.92/4.13  Clause #346 (by clausification #[345]): False
% 3.92/4.13  SZS output end Proof for theBenchmark.p
%------------------------------------------------------------------------------