%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : NUM004-1 : 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 : Tue Apr 30 20:30:10 EDT 2024

% Result   : Unsatisfiable 0.14s 0.36s
% Output   : CNFRefutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   21 (  12 unt;   0 def)
%            Number of atoms       :   36 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   38 (  23   ~;  15   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :   36 (  36   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [A] : equalish(A,A),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f2,axiom,
    ! [A,B,C] :
      ( ~ equalish(A,B)
      | ~ equalish(B,C)
      | equalish(A,C) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f3,axiom,
    ! [A,B] : equalish(add(A,B),add(B,A)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f8,axiom,
    ! [A,B,C] : equalish(subtract(add(A,B),C),add(subtract(A,C),B)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f11,axiom,
    ! [A,B,C,D] :
      ( ~ equalish(A,B)
      | ~ equalish(C,subtract(A,D))
      | equalish(C,subtract(B,D)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f13,negated_conjecture,
    ~ equalish(subtract(add(a,b),c),add(a,subtract(b,c))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f14,plain,
    ! [X0] : equalish(X0,X0),
    inference(cnf_transformation,[status(esa)],[f1]) ).

fof(f15,plain,
    ! [A,C] :
      ( ! [B] :
          ( ~ equalish(A,B)
          | ~ equalish(B,C) )
      | equalish(A,C) ),
    inference(miniscoping,[status(esa)],[f2]) ).

fof(f16,plain,
    ! [X0,X1,X2] :
      ( ~ equalish(X0,X1)
      | ~ equalish(X1,X2)
      | equalish(X0,X2) ),
    inference(cnf_transformation,[status(esa)],[f15]) ).

fof(f17,plain,
    ! [X0,X1] : equalish(add(X0,X1),add(X1,X0)),
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f22,plain,
    ! [X0,X1,X2] : equalish(subtract(add(X0,X1),X2),add(subtract(X0,X2),X1)),
    inference(cnf_transformation,[status(esa)],[f8]) ).

fof(f27,plain,
    ! [B,C,D] :
      ( ! [A] :
          ( ~ equalish(A,B)
          | ~ equalish(C,subtract(A,D)) )
      | equalish(C,subtract(B,D)) ),
    inference(miniscoping,[status(esa)],[f11]) ).

fof(f28,plain,
    ! [X0,X1,X2,X3] :
      ( ~ equalish(X0,X1)
      | ~ equalish(X2,subtract(X0,X3))
      | equalish(X2,subtract(X1,X3)) ),
    inference(cnf_transformation,[status(esa)],[f27]) ).

fof(f31,plain,
    ~ equalish(subtract(add(a,b),c),add(a,subtract(b,c))),
    inference(cnf_transformation,[status(esa)],[f13]) ).

fof(f32,plain,
    ! [X0] :
      ( ~ equalish(subtract(add(a,b),c),X0)
      | ~ equalish(X0,add(a,subtract(b,c))) ),
    inference(resolution,[status(thm)],[f16,f31]) ).

fof(f36,plain,
    ~ equalish(subtract(add(a,b),c),add(subtract(b,c),a)),
    inference(resolution,[status(thm)],[f32,f17]) ).

fof(f43,plain,
    ! [X0] :
      ( ~ equalish(subtract(add(a,b),c),X0)
      | ~ equalish(X0,add(subtract(b,c),a)) ),
    inference(resolution,[status(thm)],[f36,f16]) ).

fof(f59,plain,
    ~ equalish(subtract(add(a,b),c),subtract(add(b,a),c)),
    inference(resolution,[status(thm)],[f43,f22]) ).

fof(f67,plain,
    ! [X0] :
      ( ~ equalish(X0,add(b,a))
      | ~ equalish(subtract(add(a,b),c),subtract(X0,c)) ),
    inference(resolution,[status(thm)],[f59,f28]) ).

fof(f76,plain,
    ~ equalish(add(a,b),add(b,a)),
    inference(resolution,[status(thm)],[f67,f14]) ).

fof(f77,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f76,f17]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13  % Problem  : NUM004-1 : TPTP v8.1.2. Released v1.0.0.
% 0.13/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.35  % Computer : n016.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Mon Apr 29 21:18:25 EDT 2024
% 0.14/0.35  % CPUTime  : 
% 0.14/0.35  % Drodi V3.6.0
% 0.14/0.36  % Refutation found
% 0.14/0.36  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.36  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.37  % Elapsed time: 0.019229 seconds
% 0.14/0.37  % CPU time: 0.037064 seconds
% 0.14/0.37  % Total memory used: 7.127 MB
% 0.14/0.37  % Net memory used: 7.087 MB
%------------------------------------------------------------------------------