%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : HEN004-4 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n022.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 12:12:46 EDT 2023

% Result   : Unsatisfiable 0.13s 0.37s
% Output   : CNFRefutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   27 (  21 unt;   0 def)
%            Number of atoms       :   35 (  16 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   19 (  11   ~;   8   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-2 aty)
%            Number of variables   :   35 (;  35   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2,axiom,
    ! [X,Y] :
      ( divide(X,Y) != zero
      | less_equal(X,Y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f3,axiom,
    ! [X,Y] : less_equal(divide(X,Y),X),
    file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p') ).

fof(f5,axiom,
    ! [X] : less_equal(zero,X),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f6,axiom,
    ! [X,Y] :
      ( ~ less_equal(X,Y)
      | ~ less_equal(Y,X)
      | X = Y ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f9,axiom,
    ! [X] : divide(zero,X) = zero,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f10,axiom,
    ! [X] : divide(X,X) = zero,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f11,negated_conjecture,
    divide(a,zero) != a,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f13,plain,
    ! [X0,X1] :
      ( divide(X0,X1) != zero
      | less_equal(X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f14,plain,
    ! [X0,X1] : less_equal(divide(X0,X1),X0),
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f15,plain,
    ! [X0,X1,X2] : less_equal(divide(divide(X0,X1),divide(X2,X1)),divide(divide(X0,X2),X1)),
    inference(cnf_transformation,[status(esa)],[f4]) ).

fof(f16,plain,
    ! [X0] : less_equal(zero,X0),
    inference(cnf_transformation,[status(esa)],[f5]) ).

fof(f17,plain,
    ! [X0,X1] :
      ( ~ less_equal(X0,X1)
      | ~ less_equal(X1,X0)
      | X0 = X1 ),
    inference(cnf_transformation,[status(esa)],[f6]) ).

fof(f20,plain,
    ! [X0] : divide(zero,X0) = zero,
    inference(cnf_transformation,[status(esa)],[f9]) ).

fof(f21,plain,
    ! [X0] : divide(X0,X0) = zero,
    inference(cnf_transformation,[status(esa)],[f10]) ).

fof(f22,plain,
    divide(a,zero) != a,
    inference(cnf_transformation,[status(esa)],[f11]) ).

fof(f64,plain,
    ! [X0,X1] :
      ( ~ less_equal(X0,divide(X0,X1))
      | divide(X0,X1) = X0 ),
    inference(resolution,[status(thm)],[f17,f14]) ).

fof(f65,plain,
    ! [X0] :
      ( ~ less_equal(X0,zero)
      | zero = X0 ),
    inference(resolution,[status(thm)],[f17,f16]) ).

fof(f89,plain,
    ! [X0,X1] : less_equal(divide(divide(X0,X1),zero),divide(divide(X0,zero),X1)),
    inference(paramodulation,[status(thm)],[f20,f15]) ).

fof(f790,plain,
    ! [X0] : less_equal(divide(divide(X0,divide(X0,zero)),zero),zero),
    inference(paramodulation,[status(thm)],[f21,f89]) ).

fof(f856,plain,
    ! [X0] : zero = divide(divide(X0,divide(X0,zero)),zero),
    inference(resolution,[status(thm)],[f790,f65]) ).

fof(f944,plain,
    ! [X0] : less_equal(divide(X0,divide(X0,zero)),zero),
    inference(resolution,[status(thm)],[f856,f13]) ).

fof(f1041,plain,
    ! [X0] : zero = divide(X0,divide(X0,zero)),
    inference(resolution,[status(thm)],[f944,f65]) ).

fof(f1058,plain,
    ! [X0] : less_equal(X0,divide(X0,zero)),
    inference(resolution,[status(thm)],[f1041,f13]) ).

fof(f1155,plain,
    ! [X0] : divide(X0,zero) = X0,
    inference(resolution,[status(thm)],[f1058,f64]) ).

fof(f1170,plain,
    a != a,
    inference(backward_demodulation,[status(thm)],[f1155,f22]) ).

fof(f1171,plain,
    $false,
    inference(trivial_equality_resolution,[status(esa)],[f1170]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : HEN004-4 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34  % Computer : n022.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 09:31:42 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.13/0.35  % Drodi V3.5.1
% 0.13/0.37  % Refutation found
% 0.13/0.37  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.37  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.32/0.59  % Elapsed time: 0.025807 seconds
% 0.32/0.59  % CPU time: 0.101857 seconds
% 0.32/0.59  % Memory used: 10.394 MB
%------------------------------------------------------------------------------