%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : GRP044-2 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n008.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 12:09:49 EDT 2023

% Result   : Unsatisfiable 0.14s 0.35s
% Output   : CNFRefutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   20 (  11 unt;   0 def)
%            Number of atoms       :   39 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   40 (  21   ~;  19   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    5 (   5 usr;   5 con; 0-0 aty)
%            Number of variables   :   38 (;  38   !;   0   ?)

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

fof(f6,axiom,
    ! [X,Y,U,Z,V,W] :
      ( ~ product(X,Y,U)
      | ~ product(Y,Z,V)
      | ~ product(X,V,W)
      | product(U,Z,W) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f7,axiom,
    ! [X,Y,W,Z] :
      ( ~ equalish(X,Y)
      | ~ product(W,Z,X)
      | product(W,Z,Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f8,hypothesis,
    equalish(a,b),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f9,hypothesis,
    product(a,c,result),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f10,negated_conjecture,
    ~ product(b,c,result),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f11,plain,
    ! [X0] : product(identity,X0,X0),
    inference(cnf_transformation,[status(esa)],[f1]) ).

fof(f18,plain,
    ! [U,Z,W] :
      ( ! [X,V] :
          ( ! [Y] :
              ( ~ product(X,Y,U)
              | ~ product(Y,Z,V) )
          | ~ product(X,V,W) )
      | product(U,Z,W) ),
    inference(miniscoping,[status(esa)],[f6]) ).

fof(f19,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ product(X0,X1,X2)
      | ~ product(X1,X3,X4)
      | ~ product(X0,X4,X5)
      | product(X2,X3,X5) ),
    inference(cnf_transformation,[status(esa)],[f18]) ).

fof(f20,plain,
    ! [Y,W,Z] :
      ( ! [X] :
          ( ~ equalish(X,Y)
          | ~ product(W,Z,X) )
      | product(W,Z,Y) ),
    inference(miniscoping,[status(esa)],[f7]) ).

fof(f21,plain,
    ! [X0,X1,X2,X3] :
      ( ~ equalish(X0,X1)
      | ~ product(X2,X3,X0)
      | product(X2,X3,X1) ),
    inference(cnf_transformation,[status(esa)],[f20]) ).

fof(f22,plain,
    equalish(a,b),
    inference(cnf_transformation,[status(esa)],[f8]) ).

fof(f23,plain,
    product(a,c,result),
    inference(cnf_transformation,[status(esa)],[f9]) ).

fof(f24,plain,
    ~ product(b,c,result),
    inference(cnf_transformation,[status(esa)],[f10]) ).

fof(f29,plain,
    ! [X0,X1,X2] :
      ( ~ product(X0,a,X1)
      | ~ product(X0,result,X2)
      | product(X1,c,X2) ),
    inference(resolution,[status(thm)],[f19,f23]) ).

fof(f36,plain,
    ! [X0] :
      ( ~ product(identity,a,X0)
      | product(X0,c,result) ),
    inference(resolution,[status(thm)],[f11,f29]) ).

fof(f126,plain,
    ! [X0,X1] :
      ( ~ equalish(X0,X1)
      | product(identity,X0,X1) ),
    inference(resolution,[status(thm)],[f21,f11]) ).

fof(f655,plain,
    product(identity,a,b),
    inference(resolution,[status(thm)],[f126,f22]) ).

fof(f671,plain,
    product(b,c,result),
    inference(resolution,[status(thm)],[f655,f36]) ).

fof(f672,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f671,f24]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09  % Problem  : GRP044-2 : TPTP v8.1.2. Released v1.0.0.
% 0.02/0.10  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.30  % Computer : n008.cluster.edu
% 0.09/0.30  % Model    : x86_64 x86_64
% 0.09/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30  % Memory   : 8042.1875MB
% 0.09/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30  % CPULimit : 300
% 0.09/0.30  % WCLimit  : 300
% 0.09/0.30  % DateTime : Tue May 30 11:34:38 EDT 2023
% 0.09/0.30  % CPUTime  : 
% 0.09/0.31  % Drodi V3.5.1
% 0.14/0.35  % Refutation found
% 0.14/0.35  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.35  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.22/0.59  % Elapsed time: 0.058942 seconds
% 0.22/0.59  % CPU time: 0.145625 seconds
% 0.22/0.59  % Memory used: 11.009 MB
%------------------------------------------------------------------------------