%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : GRP043-2 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n018.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 20:18:54 EDT 2024

% Result   : Unsatisfiable 0.16s 0.32s
% Output   : CNFRefutation 0.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   23 (  14 unt;   0 def)
%            Number of atoms       :   38 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   32 (  17   ~;  15   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :   31 (  31   !;   0   ?)

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

fof(f4,axiom,
    ! [X,Y,Z,W] :
      ( ~ product(X,Y,Z)
      | ~ product(X,Y,W)
      | equalish(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,
    equalish(b,c),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f10,negated_conjecture,
    ~ equalish(a,c),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

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

fof(f14,plain,
    ! [Z,W] :
      ( ! [X,Y] :
          ( ~ product(X,Y,Z)
          | ~ product(X,Y,W) )
      | equalish(Z,W) ),
    inference(miniscoping,[status(esa)],[f4]) ).

fof(f15,plain,
    ! [X0,X1,X2,X3] :
      ( ~ product(X0,X1,X2)
      | ~ product(X0,X1,X3)
      | equalish(X2,X3) ),
    inference(cnf_transformation,[status(esa)],[f14]) ).

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,
    equalish(b,c),
    inference(cnf_transformation,[status(esa)],[f9]) ).

fof(f24,plain,
    ~ equalish(a,c),
    inference(cnf_transformation,[status(esa)],[f10]) ).

fof(f25,plain,
    ! [X0,X1] :
      ( ~ equalish(X0,X1)
      | product(identity,X0,X1) ),
    inference(resolution,[status(thm)],[f11,f21]) ).

fof(f26,plain,
    ! [X0,X1] :
      ( ~ product(identity,X0,X1)
      | equalish(X1,X0) ),
    inference(resolution,[status(thm)],[f11,f15]) ).

fof(f27,plain,
    product(identity,b,c),
    inference(resolution,[status(thm)],[f25,f23]) ).

fof(f28,plain,
    product(identity,a,b),
    inference(resolution,[status(thm)],[f25,f22]) ).

fof(f30,plain,
    ! [X0] :
      ( ~ product(identity,b,X0)
      | equalish(X0,c) ),
    inference(resolution,[status(thm)],[f27,f15]) ).

fof(f33,plain,
    equalish(b,a),
    inference(resolution,[status(thm)],[f26,f28]) ).

fof(f37,plain,
    product(identity,b,a),
    inference(resolution,[status(thm)],[f33,f25]) ).

fof(f47,plain,
    equalish(a,c),
    inference(resolution,[status(thm)],[f30,f37]) ).

fof(f48,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f47,f24]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10  % Problem  : GRP043-2 : TPTP v8.1.2. Released v1.0.0.
% 0.02/0.11  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.31  % Computer : n018.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit : 300
% 0.10/0.31  % WCLimit  : 300
% 0.10/0.31  % DateTime : Tue Apr 30 00:36:58 EDT 2024
% 0.10/0.31  % CPUTime  : 
% 0.16/0.32  % Drodi V3.6.0
% 0.16/0.32  % Refutation found
% 0.16/0.32  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.16/0.32  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.16/0.33  % Elapsed time: 0.013880 seconds
% 0.16/0.33  % CPU time: 0.018928 seconds
% 0.16/0.33  % Total memory used: 6.466 MB
% 0.16/0.33  % Net memory used: 6.358 MB
%------------------------------------------------------------------------------