%------------------------------------------------------------------------------
% File     : Duper---1.0
% Problem  : NUM699^1 : TPTP v8.1.2. Released v3.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : duper %s

% Computer : n007.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 10:57:13 EDT 2023

% Result   : Theorem 3.64s 3.80s
% Output   : Proof 3.64s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12  % Problem    : NUM699^1 : TPTP v8.1.2. Released v3.7.0.
% 0.08/0.14  % Command    : duper %s
% 0.13/0.35  % Computer : n007.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Fri Aug 25 11:30:25 EDT 2023
% 0.13/0.35  % CPUTime    : 
% 3.64/3.80  SZS status Theorem for theBenchmark.p
% 3.64/3.80  SZS output start Proof for theBenchmark.p
% 3.64/3.80  Clause #0 (by assumption #[]): Eq (less y x) True
% 3.64/3.80  Clause #1 (by assumption #[]): Eq (∀ (Xx Xy : nat), less Xy Xx → lessis (pl Xy n_1) Xx) True
% 3.64/3.80  Clause #2 (by assumption #[]): Eq (∀ (Xx : nat), Eq (pl Xx n_1) (suc Xx)) True
% 3.64/3.80  Clause #3 (by assumption #[]): Eq (Not (lessis (suc y) x)) True
% 3.64/3.80  Clause #4 (by clausification #[3]): Eq (lessis (suc y) x) False
% 3.64/3.80  Clause #5 (by clausification #[2]): ∀ (a : nat), Eq (Eq (pl a n_1) (suc a)) True
% 3.64/3.80  Clause #6 (by clausification #[5]): ∀ (a : nat), Eq (pl a n_1) (suc a)
% 3.64/3.80  Clause #7 (by clausification #[1]): ∀ (a : nat), Eq (∀ (Xy : nat), less Xy a → lessis (pl Xy n_1) a) True
% 3.64/3.80  Clause #8 (by clausification #[7]): ∀ (a a_1 : nat), Eq (less a a_1 → lessis (pl a n_1) a_1) True
% 3.64/3.80  Clause #9 (by clausification #[8]): ∀ (a a_1 : nat), Or (Eq (less a a_1) False) (Eq (lessis (pl a n_1) a_1) True)
% 3.64/3.80  Clause #10 (by forward demodulation #[9, 6]): ∀ (a a_1 : nat), Or (Eq (less a a_1) False) (Eq (lessis (suc a) a_1) True)
% 3.64/3.80  Clause #11 (by superposition #[10, 0]): Or (Eq (lessis (suc y) x) True) (Eq False True)
% 3.64/3.80  Clause #12 (by clausification #[11]): Eq (lessis (suc y) x) True
% 3.64/3.80  Clause #13 (by superposition #[12, 4]): Eq True False
% 3.64/3.80  Clause #14 (by clausification #[13]): False
% 3.64/3.80  SZS output end Proof for theBenchmark.p
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