%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : HEN003-4 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n014.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 12:12:45 EDT 2023

% Result   : Unsatisfiable 0.24s 0.57s
% Output   : CNFRefutation 0.24s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   24 (  15 unt;   0 def)
%            Number of atoms       :   36 (  18 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   27 (  15   ~;  12   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   4 avg)
%            Maximal term depth    :    3 (   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   :   37 (;  37   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X,Y] :
      ( ~ less_equal(X,Y)
      | divide(X,Y) = zero ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

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(f10,negated_conjecture,
    divide(a,a) != zero,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f11,plain,
    ! [X0,X1] :
      ( ~ less_equal(X0,X1)
      | divide(X0,X1) = zero ),
    inference(cnf_transformation,[status(esa)],[f1]) ).

fof(f12,plain,
    ! [X0,X1] :
      ( divide(X0,X1) != zero
      | less_equal(X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f13,plain,
    ! [X0,X1] : less_equal(divide(X0,X1),X0),
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f14,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(f15,plain,
    ! [X0] : less_equal(zero,X0),
    inference(cnf_transformation,[status(esa)],[f5]) ).

fof(f16,plain,
    ! [X0,X1] :
      ( ~ less_equal(X0,X1)
      | ~ less_equal(X1,X0)
      | X0 = X1 ),
    inference(cnf_transformation,[status(esa)],[f6]) ).

fof(f20,plain,
    divide(a,a) != zero,
    inference(cnf_transformation,[status(esa)],[f10]) ).

fof(f22,plain,
    ! [X0,X1] : divide(divide(X0,X1),X0) = zero,
    inference(resolution,[status(thm)],[f13,f11]) ).

fof(f31,plain,
    ! [X0] :
      ( ~ less_equal(X0,zero)
      | X0 = zero ),
    inference(resolution,[status(thm)],[f16,f15]) ).

fof(f33,plain,
    ! [X0,X1] :
      ( ~ less_equal(X0,X1)
      | X0 = X1
      | divide(X1,X0) != zero ),
    inference(resolution,[status(thm)],[f16,f12]) ).

fof(f49,plain,
    ! [X0,X1] :
      ( divide(X0,X1) = X0
      | divide(X0,divide(X0,X1)) != zero ),
    inference(resolution,[status(thm)],[f33,f13]) ).

fof(f109,plain,
    ! [X0,X1] : less_equal(divide(divide(X0,X0),divide(X1,X0)),zero),
    inference(paramodulation,[status(thm)],[f22,f14]) ).

fof(f133,plain,
    ! [X0,X1] : divide(divide(X0,X0),divide(X1,X0)) = zero,
    inference(resolution,[status(thm)],[f109,f31]) ).

fof(f150,plain,
    ! [X0] : divide(divide(X0,X0),X0) = divide(X0,X0),
    inference(resolution,[status(thm)],[f133,f49]) ).

fof(f151,plain,
    ! [X0] : zero = divide(X0,X0),
    inference(forward_demodulation,[status(thm)],[f22,f150]) ).

fof(f186,plain,
    zero != zero,
    inference(backward_demodulation,[status(thm)],[f151,f20]) ).

fof(f187,plain,
    $false,
    inference(trivial_equality_resolution,[status(esa)],[f186]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.01/0.12  % Problem  : HEN003-4 : TPTP v8.1.2. Released v1.0.0.
% 0.13/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.34  % Computer : n014.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 300
% 0.14/0.34  % DateTime : Tue May 30 09:30:04 EDT 2023
% 0.14/0.34  % CPUTime  : 
% 0.20/0.35  % Drodi V3.5.1
% 0.24/0.57  % Refutation found
% 0.24/0.57  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.24/0.57  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.24/0.57  % Elapsed time: 0.014027 seconds
% 0.24/0.57  % CPU time: 0.038373 seconds
% 0.24/0.57  % Memory used: 9.195 MB
%------------------------------------------------------------------------------