%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : HEN005-5 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n031.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 : Tue Apr 30 20:21:44 EDT 2024

% Result   : Unsatisfiable 0.11s 0.37s
% Output   : CNFRefutation 0.11s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   19 (  16 unt;   0 def)
%            Number of atoms       :   24 (  23 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   14 (   9   ~;   5   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   2 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-2 aty)
%            Number of variables   :   14 (  14   !;   0   ?)

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

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

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

fof(f6,hypothesis,
    divide(a,b) = zero,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f7,hypothesis,
    divide(b,c) = zero,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

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

fof(f10,plain,
    ! [X0,X1,X2] : divide(divide(divide(X0,X1),divide(X2,X1)),divide(divide(X0,X2),X1)) = zero,
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f11,plain,
    ! [X0] : divide(zero,X0) = zero,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f12,plain,
    ! [X0,X1] :
      ( divide(X0,X1) != zero
      | divide(X1,X0) != zero
      | X0 = X1 ),
    inference(cnf_transformation,[status(esa)],[f4]) ).

fof(f14,plain,
    divide(a,b) = zero,
    inference(cnf_transformation,[status(esa)],[f6]) ).

fof(f15,plain,
    divide(b,c) = zero,
    inference(cnf_transformation,[status(esa)],[f7]) ).

fof(f16,plain,
    divide(a,c) != zero,
    inference(cnf_transformation,[status(esa)],[f8]) ).

fof(f34,plain,
    ! [X0] : divide(divide(divide(X0,c),zero),divide(divide(X0,b),c)) = zero,
    inference(paramodulation,[status(thm)],[f15,f10]) ).

fof(f67,plain,
    ! [X0] :
      ( divide(X0,zero) != zero
      | zero = X0 ),
    inference(resolution,[status(thm)],[f12,f11]) ).

fof(f151,plain,
    divide(divide(a,c),zero) != zero,
    inference(resolution,[status(thm)],[f67,f16]) ).

fof(f170,plain,
    divide(divide(divide(a,c),zero),zero) != zero,
    inference(resolution,[status(thm)],[f151,f67]) ).

fof(f725,plain,
    divide(divide(divide(a,c),zero),divide(zero,c)) = zero,
    inference(paramodulation,[status(thm)],[f14,f34]) ).

fof(f726,plain,
    divide(divide(divide(a,c),zero),zero) = zero,
    inference(forward_demodulation,[status(thm)],[f11,f725]) ).

fof(f727,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f726,f170]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11  % Problem  : HEN005-5 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.12  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.11/0.31  % Computer : n031.cluster.edu
% 0.11/0.31  % Model    : x86_64 x86_64
% 0.11/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31  % Memory   : 8042.1875MB
% 0.11/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31  % CPULimit : 300
% 0.11/0.31  % WCLimit  : 300
% 0.11/0.31  % DateTime : Mon Apr 29 20:43:13 EDT 2024
% 0.11/0.32  % CPUTime  : 
% 0.11/0.32  % Drodi V3.6.0
% 0.11/0.37  % Refutation found
% 0.11/0.37  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.11/0.37  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.17/0.38  % Elapsed time: 0.052300 seconds
% 0.17/0.38  % CPU time: 0.321035 seconds
% 0.17/0.38  % Total memory used: 47.941 MB
% 0.17/0.38  % Net memory used: 47.579 MB
%------------------------------------------------------------------------------