%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : FLD006-1 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n006.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 20:16:18 EDT 2024

% Result   : Unsatisfiable 0.13s 0.37s
% Output   : CNFRefutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   23 (   8 unt;   0 def)
%            Number of atoms       :   42 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   45 (  26   ~;  19   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   1 con; 0-2 aty)
%            Number of variables   :   25 (  25   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2,axiom,
    ! [X] :
      ( equalish(add(additive_identity,X),X)
      | ~ defined(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f3,axiom,
    ! [X] :
      ( equalish(add(X,additive_inverse(X)),additive_identity)
      | ~ defined(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f11,axiom,
    defined(additive_identity),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

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

fof(f22,axiom,
    ! [X,Y] :
      ( equalish(X,Y)
      | ~ equalish(Y,X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f23,axiom,
    ! [X,Z,Y] :
      ( equalish(X,Z)
      | ~ equalish(X,Y)
      | ~ equalish(Y,Z) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f28,negated_conjecture,
    ~ equalish(additive_inverse(additive_identity),additive_identity),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f31,plain,
    ! [X0] :
      ( equalish(add(additive_identity,X0),X0)
      | ~ defined(X0) ),
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f32,plain,
    ! [X0] :
      ( equalish(add(X0,additive_inverse(X0)),additive_identity)
      | ~ defined(X0) ),
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f45,plain,
    defined(additive_identity),
    inference(cnf_transformation,[status(esa)],[f11]) ).

fof(f46,plain,
    ! [X0] :
      ( defined(additive_inverse(X0))
      | ~ defined(X0) ),
    inference(cnf_transformation,[status(esa)],[f12]) ).

fof(f61,plain,
    ! [X0,X1] :
      ( equalish(X0,X1)
      | ~ equalish(X1,X0) ),
    inference(cnf_transformation,[status(esa)],[f22]) ).

fof(f62,plain,
    ! [Z,Y] :
      ( ! [X] :
          ( equalish(X,Z)
          | ~ equalish(X,Y) )
      | ~ equalish(Y,Z) ),
    inference(miniscoping,[status(esa)],[f23]) ).

fof(f63,plain,
    ! [X0,X1,X2] :
      ( equalish(X0,X1)
      | ~ equalish(X0,X2)
      | ~ equalish(X2,X1) ),
    inference(cnf_transformation,[status(esa)],[f62]) ).

fof(f71,plain,
    ~ equalish(additive_inverse(additive_identity),additive_identity),
    inference(cnf_transformation,[status(esa)],[f28]) ).

fof(f76,plain,
    ! [X0,X1,X2] :
      ( ~ equalish(X0,X1)
      | ~ equalish(X1,X2)
      | equalish(X2,X0) ),
    inference(resolution,[status(thm)],[f63,f61]) ).

fof(f91,plain,
    ! [X0] :
      ( ~ equalish(additive_identity,X0)
      | ~ equalish(X0,additive_inverse(additive_identity)) ),
    inference(resolution,[status(thm)],[f76,f71]) ).

fof(f109,plain,
    ! [X0] :
      ( ~ defined(X0)
      | equalish(additive_identity,add(X0,additive_inverse(X0))) ),
    inference(resolution,[status(thm)],[f32,f61]) ).

fof(f110,plain,
    ! [X0] :
      ( ~ defined(X0)
      | ~ equalish(add(X0,additive_inverse(X0)),additive_inverse(additive_identity)) ),
    inference(resolution,[status(thm)],[f109,f91]) ).

fof(f113,plain,
    ~ equalish(add(additive_identity,additive_inverse(additive_identity)),additive_inverse(additive_identity)),
    inference(resolution,[status(thm)],[f110,f45]) ).

fof(f114,plain,
    ~ defined(additive_inverse(additive_identity)),
    inference(resolution,[status(thm)],[f113,f31]) ).

fof(f117,plain,
    ~ defined(additive_identity),
    inference(resolution,[status(thm)],[f114,f46]) ).

fof(f118,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f117,f45]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : FLD006-1 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.07/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34  % Computer : n006.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 : Mon Apr 29 23:13:05 EDT 2024
% 0.13/0.34  % CPUTime  : 
% 0.13/0.35  % Drodi V3.6.0
% 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
% 0.13/0.37  % Elapsed time: 0.018377 seconds
% 0.13/0.37  % CPU time: 0.048938 seconds
% 0.13/0.37  % Total memory used: 2.507 MB
% 0.13/0.37  % Net memory used: 2.494 MB
%------------------------------------------------------------------------------