%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : HEN007-4 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n016.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 May 31 12:12:48 EDT 2023

% Result   : Unsatisfiable 0.20s 0.38s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   19 (  11 unt;   0 def)
%            Number of atoms       :   30 (   4 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   24 (  13   ~;  11   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-2 aty)
%            Number of variables   :   29 (;  29   !;   0   ?)

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

fof(f10,axiom,
    ! [X] : divide(X,X) = zero,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f12,axiom,
    ! [X,Y,Z] :
      ( ~ less_equal(X,Y)
      | ~ less_equal(Y,Z)
      | less_equal(X,Z) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f13,axiom,
    ! [X,Y,Z] :
      ( ~ less_equal(divide(X,Y),Z)
      | less_equal(divide(X,Z),Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f14,hypothesis,
    less_equal(a,b),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f15,negated_conjecture,
    ~ less_equal(divide(c,b),divide(c,a)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f17,plain,
    ! [X0,X1] :
      ( divide(X0,X1) != zero
      | less_equal(X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f25,plain,
    ! [X0] : divide(X0,X0) = zero,
    inference(cnf_transformation,[status(esa)],[f10]) ).

fof(f27,plain,
    ! [X,Z] :
      ( ! [Y] :
          ( ~ less_equal(X,Y)
          | ~ less_equal(Y,Z) )
      | less_equal(X,Z) ),
    inference(miniscoping,[status(esa)],[f12]) ).

fof(f28,plain,
    ! [X0,X1,X2] :
      ( ~ less_equal(X0,X1)
      | ~ less_equal(X1,X2)
      | less_equal(X0,X2) ),
    inference(cnf_transformation,[status(esa)],[f27]) ).

fof(f29,plain,
    ! [X0,X1,X2] :
      ( ~ less_equal(divide(X0,X1),X2)
      | less_equal(divide(X0,X2),X1) ),
    inference(cnf_transformation,[status(esa)],[f13]) ).

fof(f30,plain,
    less_equal(a,b),
    inference(cnf_transformation,[status(esa)],[f14]) ).

fof(f31,plain,
    ~ less_equal(divide(c,b),divide(c,a)),
    inference(cnf_transformation,[status(esa)],[f15]) ).

fof(f199,plain,
    ! [X0] : less_equal(X0,X0),
    inference(resolution,[status(thm)],[f17,f25]) ).

fof(f445,plain,
    ! [X0,X1] : less_equal(divide(X0,divide(X0,X1)),X1),
    inference(resolution,[status(thm)],[f199,f29]) ).

fof(f493,plain,
    ! [X0,X1,X2] :
      ( ~ less_equal(X0,X1)
      | less_equal(divide(X2,divide(X2,X0)),X1) ),
    inference(resolution,[status(thm)],[f445,f28]) ).

fof(f2209,plain,
    ! [X0] : less_equal(divide(X0,divide(X0,a)),b),
    inference(resolution,[status(thm)],[f493,f30]) ).

fof(f2230,plain,
    ! [X0] : less_equal(divide(X0,b),divide(X0,a)),
    inference(resolution,[status(thm)],[f2209,f29]) ).

fof(f2253,plain,
    $false,
    inference(backward_subsumption_resolution,[status(thm)],[f31,f2230]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : HEN007-4 : TPTP v8.1.2. Released v1.0.0.
% 0.13/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34  % Computer : n016.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Tue May 30 10:01:44 EDT 2023
% 0.20/0.34  % CPUTime  : 
% 0.20/0.35  % Drodi V3.5.1
% 0.20/0.38  % Refutation found
% 0.20/0.38  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.20/0.38  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.20/0.39  % Elapsed time: 0.040233 seconds
% 0.20/0.39  % CPU time: 0.182753 seconds
% 0.20/0.39  % Memory used: 12.327 MB
%------------------------------------------------------------------------------