TSTP Solution File: COL054-1 by Drodi---3.6.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : COL054-1 : 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 20:13:40 EDT 2024

% Result   : Unsatisfiable 0.15s 0.33s
% Output   : CNFRefutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   10 (   8 unt;   0 def)
%            Number of atoms       :   12 (  11 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    8 (   6   ~;   2   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :   16 (  16   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [Y] : response(mocking_bird,Y) = response(Y,Y),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f2,hypothesis,
    ! [X,Y,W] : response(compose(X,Y),W) = response(X,response(Y,W)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f3,negated_conjecture,
    ! [X,Y] :
      ( response(a,X) != Y
      | response(b,Y) != X ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f4,plain,
    ! [X0] : response(mocking_bird,X0) = response(X0,X0),
    inference(cnf_transformation,[status(esa)],[f1]) ).

fof(f5,plain,
    ! [X0,X1,X2] : response(compose(X0,X1),X2) = response(X0,response(X1,X2)),
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f6,plain,
    ! [X0,X1] :
      ( response(a,X0) != X1
      | response(b,X1) != X0 ),
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f7,plain,
    ! [X0] : response(b,response(a,X0)) != X0,
    inference(destructive_equality_resolution,[status(esa)],[f6]) ).

fof(f9,plain,
    ! [X0,X1] : response(mocking_bird,compose(X0,X1)) = response(X0,response(X1,compose(X0,X1))),
    inference(paramodulation,[status(thm)],[f4,f5]) ).

fof(f14,plain,
    ! [X0] : response(b,response(mocking_bird,compose(a,X0))) != response(X0,compose(a,X0)),
    inference(paramodulation,[status(thm)],[f9,f7]) ).

fof(f16,plain,
    $false,
    inference(resolution,[status(thm)],[f14,f5]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11  % Problem  : COL054-1 : TPTP v8.1.2. Released v1.0.0.
% 0.09/0.11  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.32  % Computer : n016.cluster.edu
% 0.09/0.32  % Model    : x86_64 x86_64
% 0.09/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.32  % Memory   : 8042.1875MB
% 0.09/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.32  % CPULimit : 300
% 0.09/0.32  % WCLimit  : 300
% 0.09/0.32  % DateTime : Mon Apr 29 23:02:25 EDT 2024
% 0.09/0.32  % CPUTime  : 
% 0.15/0.33  % Drodi V3.6.0
% 0.15/0.33  % Refutation found
% 0.15/0.33  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/0.33  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.15/0.34  % Elapsed time: 0.015178 seconds
% 0.15/0.34  % CPU time: 0.015791 seconds
% 0.15/0.34  % Total memory used: 5.810 MB
% 0.15/0.34  % Net memory used: 5.686 MB
%------------------------------------------------------------------------------