%------------------------------------------------------------------------------
% File     : Duper---1.0
% Problem  : NUM848+2 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : duper %s

% Computer : n021.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 10:57:57 EDT 2023

% Result   : Theorem 35.78s 36.14s
% Output   : Proof 35.78s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : NUM848+2 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.13  % Command    : duper %s
% 0.13/0.35  % Computer : n021.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 12:52:41 EDT 2023
% 0.20/0.35  % CPUTime    : 
% 35.78/36.14  SZS status Theorem for theBenchmark.p
% 35.78/36.14  SZS output start Proof for theBenchmark.p
% 35.78/36.14  Clause #0 (by assumption #[]): Eq
% 35.78/36.14    (Not
% 35.78/36.14      (Eq (vplus (vmul vd436 vd437) (vplus (vmul vd436 vd439) vd436))
% 35.78/36.14        (vplus (vmul vd436 vd437) (vmul vd436 (vsucc vd439)))))
% 35.78/36.14    True
% 35.78/36.14  Clause #8 (by assumption #[]): Eq
% 35.78/36.14    (∀ (Vd396 Vd397 : Iota),
% 35.78/36.14      And (Eq (vmul Vd396 (vsucc Vd397)) (vplus (vmul Vd396 Vd397) Vd396)) (Eq (vmul Vd396 v1) Vd396))
% 35.78/36.14    True
% 35.78/36.14  Clause #31 (by clausification #[0]): Eq
% 35.78/36.14    (Eq (vplus (vmul vd436 vd437) (vplus (vmul vd436 vd439) vd436)) (vplus (vmul vd436 vd437) (vmul vd436 (vsucc vd439))))
% 35.78/36.14    False
% 35.78/36.14  Clause #32 (by clausification #[31]): Ne (vplus (vmul vd436 vd437) (vplus (vmul vd436 vd439) vd436)) (vplus (vmul vd436 vd437) (vmul vd436 (vsucc vd439)))
% 35.78/36.14  Clause #482 (by clausification #[8]): ∀ (a : Iota), Eq (∀ (Vd397 : Iota), And (Eq (vmul a (vsucc Vd397)) (vplus (vmul a Vd397) a)) (Eq (vmul a v1) a)) True
% 35.78/36.14  Clause #483 (by clausification #[482]): ∀ (a a_1 : Iota), Eq (And (Eq (vmul a (vsucc a_1)) (vplus (vmul a a_1) a)) (Eq (vmul a v1) a)) True
% 35.78/36.14  Clause #485 (by clausification #[483]): ∀ (a a_1 : Iota), Eq (Eq (vmul a (vsucc a_1)) (vplus (vmul a a_1) a)) True
% 35.78/36.14  Clause #18449 (by clausification #[485]): ∀ (a a_1 : Iota), Eq (vmul a (vsucc a_1)) (vplus (vmul a a_1) a)
% 35.78/36.14  Clause #18451 (by backward positive simplify reflect #[18449, 32]): False
% 35.78/36.14  SZS output end Proof for theBenchmark.p
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