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Drodi---4.1.1.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : HEN010-3 : TPTP v9.3.1. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n016.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Sep 24 12:45:23 PM UTC 2026

% Result   : Unsatisfiable 3.15s 0.86s
% Output   : CNFRefutation 3.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   22
%            Number of leaves      :   15
% Syntax   : Number of formulae    :  108 (  40 unt;   7 def)
%            Number of atoms       :  180 ( 100 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :  136 (  64   ~;  65   |;   0   &)
%                                         (   7 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   4 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of predicates  :   10 (   8 usr;   8 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-2 aty)
%            Number of variables   :  144 ( 144   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X,Y] :
      ( divide(X,Y) = zero
      | ~ less_equal(X,Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f2,axiom,
    ! [X,Y] :
      ( less_equal(X,Y)
      | divide(X,Y) != zero ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f3,axiom,
    ! [X,Y] : less_equal(divide(X,Y),X),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f4,axiom,
    ! [X,Z,Y] : less_equal(divide(divide(X,Z),divide(Y,Z)),divide(divide(X,Y),Z)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f5,axiom,
    ! [X] : less_equal(zero,X),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f6,axiom,
    ! [X,Y] :
      ( X = Y
      | ~ less_equal(Y,X)
      | ~ less_equal(X,Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f7,axiom,
    ! [X] : less_equal(X,identity),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f8,negated_conjecture,
    divide(identity,a) != divide(divide(identity,a),divide(identity,divide(identity,a))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f9,plain,
    ! [X0,X1] :
      ( divide(X0,X1) = zero
      | ~ less_equal(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f1]) ).

fof(f10,plain,
    ! [X0,X1] :
      ( less_equal(X0,X1)
      | divide(X0,X1) != zero ),
    inference(cnf_transformation,[status(thm)],[f2]) ).

fof(f11,plain,
    ! [X0,X1] : less_equal(divide(X0,X1),X0),
    inference(cnf_transformation,[status(thm)],[f3]) ).

fof(f12,plain,
    ! [X0,X1,X2] : less_equal(divide(divide(X0,X1),divide(X2,X1)),divide(divide(X0,X2),X1)),
    inference(cnf_transformation,[status(thm)],[f4]) ).

fof(f13,plain,
    ! [X0] : less_equal(zero,X0),
    inference(cnf_transformation,[status(thm)],[f5]) ).

fof(f14,plain,
    ! [X0,X1] :
      ( X0 = X1
      | ~ less_equal(X1,X0)
      | ~ less_equal(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f6]) ).

fof(f15,plain,
    ! [X0] : less_equal(X0,identity),
    inference(cnf_transformation,[status(thm)],[f7]) ).

fof(f16,plain,
    divide(identity,a) != divide(divide(identity,a),divide(identity,divide(identity,a))),
    inference(cnf_transformation,[status(thm)],[f8]) ).

fof(f17,plain,
    ! [X0] : divide(zero,X0) = zero,
    inference(resolution,[status(thm)],[f9,f13]) ).

fof(f18,plain,
    ! [X0] : divide(X0,identity) = zero,
    inference(resolution,[status(thm)],[f9,f15]) ).

fof(f19,plain,
    ! [X0,X1] : divide(divide(X0,X1),X0) = zero,
    inference(resolution,[status(thm)],[f11,f9]) ).

fof(f31,plain,
    ! [X0,X1] :
      ( X0 = divide(X0,X1)
      | ~ less_equal(X0,divide(X0,X1)) ),
    inference(resolution,[status(thm)],[f14,f11]) ).

fof(f32,plain,
    ! [X0] :
      ( X0 = zero
      | ~ less_equal(X0,zero) ),
    inference(resolution,[status(thm)],[f14,f13]) ).

fof(f34,plain,
    ! [X0,X1] :
      ( divide(X1,X0) != zero
      | X0 = X1
      | ~ less_equal(X0,X1) ),
    inference(resolution,[status(thm)],[f14,f10]) ).

fof(f42,definition,
    ( sQ1_spl
  <=> zero = zero ),
    introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).

fof(f44,plain,
    ( sQ1_spl
    | zero != zero ),
    inference(component_clause,[status(thm)],[f42]) ).

fof(f58,plain,
    ( sQ1_spl
    | $false ),
    inference(trivial_equality_resolution,[status(thm)],[f44]) ).

fof(f59,plain,
    sQ1_spl,
    inference(contradiction_clause,[status(thm)],[f58]) ).

fof(f61,plain,
    ! [X0,X1] :
      ( divide(X0,divide(X0,X1)) != zero
      | X0 = divide(X0,X1) ),
    inference(resolution,[status(thm)],[f31,f10]) ).

fof(f74,plain,
    ! [X0,X1] :
      ( divide(X0,X1) != zero
      | divide(X1,X0) != zero
      | X0 = X1 ),
    inference(resolution,[status(thm)],[f34,f10]) ).

fof(f105,plain,
    ! [X0,X1,X2] :
      ( divide(divide(divide(X0,X2),X1),divide(divide(X0,X1),divide(X2,X1))) != zero
      | divide(divide(X0,X1),divide(X2,X1)) = divide(divide(X0,X2),X1) ),
    inference(resolution,[status(thm)],[f12,f34]) ).

fof(f106,plain,
    ! [X0,X1,X2] :
      ( divide(divide(X0,X1),X2) = divide(divide(X0,X2),divide(X1,X2))
      | ~ less_equal(divide(divide(X0,X1),X2),divide(divide(X0,X2),divide(X1,X2))) ),
    inference(resolution,[status(thm)],[f12,f14]) ).

fof(f113,plain,
    ! [X0,X1] : less_equal(divide(divide(X0,X1),zero),divide(divide(X0,zero),X1)),
    inference(paramodulation,[status(thm)],[f17,f12]) ).

fof(f115,plain,
    ! [X0,X1] : less_equal(divide(divide(X0,X0),divide(X1,X0)),zero),
    inference(paramodulation,[status(thm)],[f19,f12]) ).

fof(f138,plain,
    ! [X0,X1] : divide(divide(X0,X0),divide(X1,X0)) = zero,
    inference(resolution,[status(thm)],[f115,f32]) ).

fof(f154,plain,
    ! [X0] : divide(X0,X0) = divide(divide(X0,X0),X0),
    inference(resolution,[status(thm)],[f138,f61]) ).

fof(f176,plain,
    ! [X0] : divide(X0,X0) = zero,
    inference(forward_demodulation,[status(thm)],[f19,f154]) ).

fof(f213,plain,
    ! [X0,X1,X2] :
      ( divide(divide(divide(X1,X2),X1),X0) = divide(divide(divide(X1,X2),X0),divide(X1,X0))
      | ~ less_equal(divide(zero,X0),divide(divide(divide(X1,X2),X0),divide(X1,X0))) ),
    inference(paramodulation,[status(thm)],[f19,f106]) ).

fof(f215,plain,
    ! [X0,X1] :
      ( divide(divide(X1,identity),X0) = divide(divide(X1,X0),divide(identity,X0))
      | ~ less_equal(divide(zero,X0),divide(divide(X1,X0),divide(identity,X0))) ),
    inference(paramodulation,[status(thm)],[f18,f106]) ).

fof(f231,plain,
    ! [X0,X1,X2] :
      ( divide(divide(divide(X0,X1),X0),X2) = divide(divide(divide(X0,X1),X2),divide(X0,X2))
      | ~ less_equal(zero,divide(divide(divide(X0,X1),X2),divide(X0,X2))) ),
    inference(forward_demodulation,[status(thm)],[f17,f213]) ).

fof(f232,plain,
    ! [X0,X1,X2] :
      ( divide(zero,X2) = divide(divide(divide(X0,X1),X2),divide(X0,X2))
      | ~ less_equal(zero,divide(divide(divide(X0,X1),X2),divide(X0,X2))) ),
    inference(forward_demodulation,[status(thm)],[f19,f231]) ).

fof(f233,plain,
    ! [X0,X1,X2] :
      ( zero = divide(divide(divide(X0,X1),X2),divide(X0,X2))
      | ~ less_equal(zero,divide(divide(divide(X0,X1),X2),divide(X0,X2))) ),
    inference(forward_demodulation,[status(thm)],[f17,f232]) ).

fof(f235,plain,
    ! [X0,X1,X2] : zero = divide(divide(divide(X0,X1),X2),divide(X0,X2)),
    inference(forward_subsumption_resolution,[status(thm)],[f233,f13]) ).

fof(f242,plain,
    ! [X0,X1] :
      ( divide(divide(X0,identity),X1) = divide(divide(X0,X1),divide(identity,X1))
      | ~ less_equal(zero,divide(divide(X0,X1),divide(identity,X1))) ),
    inference(forward_demodulation,[status(thm)],[f17,f215]) ).

fof(f243,plain,
    ! [X0,X1] :
      ( divide(zero,X1) = divide(divide(X0,X1),divide(identity,X1))
      | ~ less_equal(zero,divide(divide(X0,X1),divide(identity,X1))) ),
    inference(forward_demodulation,[status(thm)],[f18,f242]) ).

fof(f244,plain,
    ! [X0,X1] :
      ( zero = divide(divide(X0,X1),divide(identity,X1))
      | ~ less_equal(zero,divide(divide(X0,X1),divide(identity,X1))) ),
    inference(forward_demodulation,[status(thm)],[f17,f243]) ).

fof(f246,plain,
    ! [X0,X1] : zero = divide(divide(X0,X1),divide(identity,X1)),
    inference(forward_subsumption_resolution,[status(thm)],[f244,f13]) ).

fof(f347,plain,
    ! [X0,X1,X2] :
      ( divide(divide(divide(X0,divide(X1,X2)),X1),divide(divide(X0,X1),zero)) != zero
      | divide(divide(X0,X1),divide(divide(X1,X2),X1)) = divide(divide(X0,divide(X1,X2)),X1) ),
    inference(paramodulation,[status(thm)],[f19,f105]) ).

fof(f378,plain,
    ! [X0,X1,X2] :
      ( divide(divide(divide(X0,divide(X1,X2)),X1),divide(divide(X0,X1),zero)) != zero
      | divide(divide(X0,X1),zero) = divide(divide(X0,divide(X1,X2)),X1) ),
    inference(forward_demodulation,[status(thm)],[f19,f347]) ).

fof(f382,plain,
    ! [X0,X1] :
      ( divide(divide(identity,X0),divide(X1,X0)) != zero
      | divide(identity,X0) = divide(X1,X0) ),
    inference(resolution,[status(thm)],[f246,f74]) ).

fof(f394,plain,
    ! [X0,X1] :
      ( divide(zero,divide(divide(X0,divide(identity,X1)),divide(X1,divide(identity,X1)))) != zero
      | divide(divide(X0,divide(identity,X1)),divide(X1,divide(identity,X1))) = divide(divide(X0,X1),divide(identity,X1)) ),
    inference(paramodulation,[status(thm)],[f246,f105]) ).

fof(f405,plain,
    ! [X0,X1,X2] :
      ( divide(divide(X0,divide(X1,X2)),divide(identity,X2)) = divide(divide(X0,divide(identity,X2)),divide(divide(X1,X2),divide(identity,X2)))
      | ~ less_equal(divide(divide(X0,divide(X1,X2)),divide(identity,X2)),divide(divide(X0,divide(identity,X2)),zero)) ),
    inference(paramodulation,[status(thm)],[f246,f106]) ).

fof(f425,plain,
    ! [X0,X1] :
      ( divide(zero,divide(divide(X0,divide(identity,X1)),divide(X1,divide(identity,X1)))) != zero
      | divide(divide(X0,divide(identity,X1)),divide(X1,divide(identity,X1))) = zero ),
    inference(forward_demodulation,[status(thm)],[f246,f394]) ).

fof(f426,plain,
    ! [X0,X1] :
      ( zero != zero
      | divide(divide(X0,divide(identity,X1)),divide(X1,divide(identity,X1))) = zero ),
    inference(forward_demodulation,[status(thm)],[f17,f425]) ).

fof(f427,plain,
    ! [X0,X1] : divide(divide(X0,divide(identity,X1)),divide(X1,divide(identity,X1))) = zero,
    inference(trivial_equality_resolution,[status(thm)],[f426]) ).

fof(f443,plain,
    ! [X0,X1,X2] :
      ( divide(divide(X0,divide(X1,X2)),divide(identity,X2)) = divide(divide(X0,divide(identity,X2)),zero)
      | ~ less_equal(divide(divide(X0,divide(X1,X2)),divide(identity,X2)),divide(divide(X0,divide(identity,X2)),zero)) ),
    inference(forward_demodulation,[status(thm)],[f246,f405]) ).

fof(f643,plain,
    ! [X0] : divide(identity,divide(identity,X0)) = divide(X0,divide(identity,X0)),
    inference(resolution,[status(thm)],[f382,f427]) ).

fof(f1023,plain,
    divide(identity,a) != divide(identity,divide(identity,divide(identity,a))),
    inference(paramodulation,[status(thm)],[f643,f16]) ).

fof(f1028,plain,
    ! [X0] : divide(divide(identity,divide(identity,X0)),X0) = zero,
    inference(paramodulation,[status(thm)],[f643,f19]) ).

fof(f1055,plain,
    ! [X0,X1,X2] :
      ( divide(divide(divide(divide(X1,X0),X2),divide(X1,X0)),divide(identity,X0)) = divide(divide(divide(divide(X1,X0),X2),divide(identity,X0)),zero)
      | ~ less_equal(divide(zero,divide(identity,X0)),divide(divide(divide(divide(X1,X0),X2),divide(identity,X0)),zero)) ),
    inference(paramodulation,[status(thm)],[f19,f443]) ).

fof(f1095,plain,
    ! [X0,X1,X2] :
      ( divide(divide(divide(divide(X0,X1),X2),divide(X0,X1)),divide(identity,X1)) = divide(divide(divide(divide(X0,X1),X2),divide(identity,X1)),zero)
      | ~ less_equal(zero,divide(divide(divide(divide(X0,X1),X2),divide(identity,X1)),zero)) ),
    inference(forward_demodulation,[status(thm)],[f17,f1055]) ).

fof(f1096,plain,
    ! [X0,X1,X2] :
      ( divide(zero,divide(identity,X1)) = divide(divide(divide(divide(X0,X1),X2),divide(identity,X1)),zero)
      | ~ less_equal(zero,divide(divide(divide(divide(X0,X1),X2),divide(identity,X1)),zero)) ),
    inference(forward_demodulation,[status(thm)],[f19,f1095]) ).

fof(f1097,plain,
    ! [X0,X1,X2] :
      ( zero = divide(divide(divide(divide(X0,X1),X2),divide(identity,X1)),zero)
      | ~ less_equal(zero,divide(divide(divide(divide(X0,X1),X2),divide(identity,X1)),zero)) ),
    inference(forward_demodulation,[status(thm)],[f17,f1096]) ).

fof(f1098,plain,
    ! [X0,X1,X2] : zero = divide(divide(divide(divide(X0,X1),X2),divide(identity,X1)),zero),
    inference(forward_subsumption_resolution,[status(thm)],[f1097,f13]) ).

fof(f1648,plain,
    ( divide(divide(identity,a),divide(identity,divide(identity,divide(identity,a)))) != zero
    | divide(divide(identity,divide(identity,divide(identity,a))),divide(identity,a)) != zero ),
    inference(resolution,[status(thm)],[f74,f1023]) ).

fof(f1661,definition,
    ( sQ29_spl
  <=> divide(divide(identity,divide(identity,divide(identity,a))),divide(identity,a)) = zero ),
    introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).

fof(f1663,plain,
    ( sQ29_spl
    | divide(divide(identity,divide(identity,divide(identity,a))),divide(identity,a)) != zero ),
    inference(component_clause,[status(thm)],[f1661]) ).

fof(f1664,definition,
    ( sQ30_spl
  <=> divide(divide(identity,a),divide(identity,divide(identity,divide(identity,a)))) = zero ),
    introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).

fof(f1666,plain,
    ( sQ30_spl
    | divide(divide(identity,a),divide(identity,divide(identity,divide(identity,a)))) != zero ),
    inference(component_clause,[status(thm)],[f1664]) ).

fof(f1667,plain,
    ( ~ sQ30_spl
    | ~ sQ29_spl ),
    inference(split_clause,[status(thm)],[f1648,f1661,f1664]) ).

fof(f1691,plain,
    ( sQ29_spl
    | zero != zero ),
    inference(forward_demodulation,[status(thm)],[f1028,f1663]) ).

fof(f1692,plain,
    ( sQ29_spl
    | $false ),
    inference(trivial_equality_resolution,[status(thm)],[f1691]) ).

fof(f1693,plain,
    sQ29_spl,
    inference(contradiction_clause,[status(thm)],[f1692]) ).

fof(f2349,plain,
    ! [X0] : less_equal(divide(divide(X0,divide(X0,zero)),zero),zero),
    inference(paramodulation,[status(thm)],[f176,f113]) ).

fof(f2394,definition,
    ( sQ34_spl
  <=> divide(zero,divide(divide(identity,a),divide(identity,divide(identity,divide(identity,a))))) = zero ),
    introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition]) ).

fof(f2396,plain,
    ( sQ34_spl
    | divide(zero,divide(divide(identity,a),divide(identity,divide(identity,divide(identity,a))))) != zero ),
    inference(component_clause,[status(thm)],[f2394]) ).

fof(f2402,plain,
    ( sQ34_spl
    | zero != zero ),
    inference(forward_demodulation,[status(thm)],[f17,f2396]) ).

fof(f2403,plain,
    ( sQ34_spl
    | $false ),
    inference(trivial_equality_resolution,[status(thm)],[f2402]) ).

fof(f2404,plain,
    sQ34_spl,
    inference(contradiction_clause,[status(thm)],[f2403]) ).

fof(f2409,definition,
    ( sQ36_spl
  <=> divide(zero,divide(divide(identity,a),divide(divide(identity,a),divide(identity,divide(identity,a))))) = zero ),
    introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition]) ).

fof(f2411,plain,
    ( sQ36_spl
    | divide(zero,divide(divide(identity,a),divide(divide(identity,a),divide(identity,divide(identity,a))))) != zero ),
    inference(component_clause,[status(thm)],[f2409]) ).

fof(f2417,plain,
    ( sQ36_spl
    | zero != zero ),
    inference(forward_demodulation,[status(thm)],[f17,f2411]) ).

fof(f2418,plain,
    ( sQ36_spl
    | $false ),
    inference(trivial_equality_resolution,[status(thm)],[f2417]) ).

fof(f2419,plain,
    sQ36_spl,
    inference(contradiction_clause,[status(thm)],[f2418]) ).

fof(f2423,definition,
    ( sQ38_spl
  <=> divide(zero,divide(divide(divide(identity,a),divide(identity,divide(identity,divide(identity,a)))),zero)) = zero ),
    introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition]) ).

fof(f2425,plain,
    ( sQ38_spl
    | divide(zero,divide(divide(divide(identity,a),divide(identity,divide(identity,divide(identity,a)))),zero)) != zero ),
    inference(component_clause,[status(thm)],[f2423]) ).

fof(f2431,plain,
    ( sQ38_spl
    | zero != zero ),
    inference(forward_demodulation,[status(thm)],[f17,f2425]) ).

fof(f2432,plain,
    ( sQ38_spl
    | $false ),
    inference(trivial_equality_resolution,[status(thm)],[f2431]) ).

fof(f2433,plain,
    sQ38_spl,
    inference(contradiction_clause,[status(thm)],[f2432]) ).

fof(f2438,definition,
    ( sQ40_spl
  <=> divide(zero,divide(divide(divide(identity,a),divide(divide(identity,a),divide(identity,divide(identity,a)))),zero)) = zero ),
    introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition]) ).

fof(f2440,plain,
    ( sQ40_spl
    | divide(zero,divide(divide(divide(identity,a),divide(divide(identity,a),divide(identity,divide(identity,a)))),zero)) != zero ),
    inference(component_clause,[status(thm)],[f2438]) ).

fof(f2446,plain,
    ( sQ40_spl
    | zero != zero ),
    inference(forward_demodulation,[status(thm)],[f17,f2440]) ).

fof(f2447,plain,
    ( sQ40_spl
    | $false ),
    inference(trivial_equality_resolution,[status(thm)],[f2446]) ).

fof(f2448,plain,
    sQ40_spl,
    inference(contradiction_clause,[status(thm)],[f2447]) ).

fof(f3501,plain,
    ! [X0] : divide(divide(X0,divide(X0,zero)),zero) = zero,
    inference(resolution,[status(thm)],[f2349,f32]) ).

fof(f3579,plain,
    ! [X0] :
      ( divide(divide(X0,divide(X0,zero)),zero) != zero
      | divide(X0,divide(X0,zero)) = divide(divide(X0,divide(X0,zero)),zero) ),
    inference(paramodulation,[status(thm)],[f3501,f61]) ).

fof(f3632,plain,
    ! [X0] :
      ( divide(divide(X0,divide(X0,zero)),zero) != zero
      | divide(X0,divide(X0,zero)) = zero ),
    inference(forward_demodulation,[status(thm)],[f3501,f3579]) ).

fof(f3633,plain,
    ! [X0] :
      ( zero != zero
      | divide(X0,divide(X0,zero)) = zero ),
    inference(forward_demodulation,[status(thm)],[f3501,f3632]) ).

fof(f3639,plain,
    ! [X0] : divide(X0,divide(X0,zero)) = zero,
    inference(trivial_equality_resolution,[status(thm)],[f3633]) ).

fof(f3659,plain,
    ! [X0] : X0 = divide(X0,zero),
    inference(resolution,[status(thm)],[f3639,f61]) ).

fof(f3772,plain,
    ! [X0,X1,X2] : zero = divide(divide(divide(X0,X1),X2),divide(identity,X1)),
    inference(backward_demodulation,[status(thm)],[f3659,f1098]) ).

fof(f3850,plain,
    ! [X0,X1,X2] :
      ( divide(divide(divide(X0,divide(X1,X2)),X1),divide(X0,X1)) != zero
      | divide(divide(X0,X1),zero) = divide(divide(X0,divide(X1,X2)),X1) ),
    inference(backward_demodulation,[status(thm)],[f3659,f378]) ).

fof(f4196,plain,
    ! [X0,X1,X2] :
      ( divide(divide(divide(X0,divide(X1,X2)),X1),divide(X0,X1)) != zero
      | divide(X0,X1) = divide(divide(X0,divide(X1,X2)),X1) ),
    inference(forward_demodulation,[status(thm)],[f3659,f3850]) ).

fof(f4197,plain,
    ! [X0,X1,X2] :
      ( zero != zero
      | divide(X0,X1) = divide(divide(X0,divide(X1,X2)),X1) ),
    inference(forward_demodulation,[status(thm)],[f235,f4196]) ).

fof(f4198,plain,
    ! [X0,X1,X2] : divide(X0,X1) = divide(divide(X0,divide(X1,X2)),X1),
    inference(trivial_equality_resolution,[status(thm)],[f4197]) ).

fof(f5805,plain,
    ! [X0,X1,X2] : zero = divide(divide(X0,X1),divide(identity,divide(X1,X2))),
    inference(paramodulation,[status(thm)],[f4198,f3772]) ).

fof(f6111,plain,
    ! [X0,X1] : zero = divide(divide(X0,X1),divide(identity,divide(identity,divide(identity,X1)))),
    inference(paramodulation,[status(thm)],[f643,f5805]) ).

fof(f6161,plain,
    ( sQ30_spl
    | zero != zero ),
    inference(backward_demodulation,[status(thm)],[f6111,f1666]) ).

fof(f6182,plain,
    ( sQ30_spl
    | ~ sQ1_spl ),
    inference(split_clause,[status(thm)],[f6161,f42,f1664]) ).

fof(f6183,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f59,f1667,f1693,f2404,f2419,f2433,f2448,f6182]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : HEN010-3 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04  % Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.36  % Computer : n016.cluster.edu
% 0.11/0.36  % Model    : x86_64 x86_64
% 0.11/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36  % Memory   : 8046.5625MB
% 0.11/0.36  % OS       : Linux 6.8.0-71-generic
% 0.11/0.36  % CPULimit : 300
% 0.11/0.36  % WCLimit  : 300
% 0.11/0.36  % DateTime : Sun Sep 20 20:51:08 UTC 2026
% 0.11/0.37  % CPUTime  : 
% 0.11/0.37  % Drodi V4.1.1
% 3.15/0.86  % Refutation found
% 3.15/0.86  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 3.15/0.86  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 3.15/0.87  % Elapsed time: 0.505117 seconds
% 3.15/0.87  % CPU time: 3.685096 seconds
% 3.15/0.87  % Total memory used: 128.555 MB
% 3.15/0.87  % Net memory used: 124.142 MB
%------------------------------------------------------------------------------