%------------------------------------------------------------------------------
% File     : Duper---1.0
% Problem  : DAT162^1 : TPTP v8.1.2. Released v7.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : duper %s

% Computer : n010.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 22:12:24 EDT 2023

% Result   : Theorem 65.48s 65.68s
% Output   : Proof 65.48s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : DAT162^1 : TPTP v8.1.2. Released v7.0.0.
% 0.00/0.14  % Command    : duper %s
% 0.14/0.35  % Computer : n010.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   : Thu Aug 24 14:33:35 EDT 2023
% 0.14/0.35  % CPUTime    : 
% 65.48/65.68  SZS status Theorem for theBenchmark.p
% 65.48/65.68  SZS output start Proof for theBenchmark.p
% 65.48/65.68  Clause #0 (by assumption #[]): Eq (hammin1195055315smooth n2) True
% 65.48/65.68  Clause #1 (by assumption #[]): Eq (ord_less nat n2 na) True
% 65.48/65.68  Clause #2 (by assumption #[]): Eq
% 65.48/65.68    (∀ (Y : nat),
% 65.48/65.68      ord_less nat Y na → hammin1195055315smooth Y → member nat Y (coinductive_lset nat hammin2015774020amming))
% 65.48/65.68    True
% 65.48/65.68  Clause #261 (by assumption #[]): Eq (Not (member nat n2 (coinductive_lset nat hammin2015774020amming))) True
% 65.48/65.68  Clause #262 (by clausification #[2]): ∀ (a : nat),
% 65.48/65.68    Eq (ord_less nat a na → hammin1195055315smooth a → member nat a (coinductive_lset nat hammin2015774020amming)) True
% 65.48/65.68  Clause #263 (by clausification #[262]): ∀ (a : nat),
% 65.48/65.68    Or (Eq (ord_less nat a na) False)
% 65.48/65.68      (Eq (hammin1195055315smooth a → member nat a (coinductive_lset nat hammin2015774020amming)) True)
% 65.48/65.68  Clause #264 (by clausification #[263]): ∀ (a : nat),
% 65.48/65.68    Or (Eq (ord_less nat a na) False)
% 65.48/65.68      (Or (Eq (hammin1195055315smooth a) False) (Eq (member nat a (coinductive_lset nat hammin2015774020amming)) True))
% 65.48/65.68  Clause #265 (by superposition #[264, 1]): Or (Eq (hammin1195055315smooth n2) False)
% 65.48/65.68    (Or (Eq (member nat n2 (coinductive_lset nat hammin2015774020amming)) True) (Eq False True))
% 65.48/65.68  Clause #479 (by clausification #[261]): Eq (member nat n2 (coinductive_lset nat hammin2015774020amming)) False
% 65.48/65.68  Clause #17235 (by clausification #[265]): Or (Eq (hammin1195055315smooth n2) False) (Eq (member nat n2 (coinductive_lset nat hammin2015774020amming)) True)
% 65.48/65.68  Clause #17236 (by forward demodulation #[17235, 0]): Or (Eq True False) (Eq (member nat n2 (coinductive_lset nat hammin2015774020amming)) True)
% 65.48/65.68  Clause #17237 (by clausification #[17236]): Eq (member nat n2 (coinductive_lset nat hammin2015774020amming)) True
% 65.48/65.68  Clause #17238 (by superposition #[17237, 479]): Eq True False
% 65.48/65.68  Clause #17298 (by clausification #[17238]): False
% 65.48/65.68  SZS output end Proof for theBenchmark.p
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