TSTP Solution File: COL052-1 by Drodi---3.6.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : COL052-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n025.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 0.13s 0.36s
% Output   : CNFRefutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   12 (  12 unt;   0 def)
%            Number of atoms       :   12 (  11 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    3 (   3   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   4 con; 0-2 aty)
%            Number of variables   :   14 (  14   !;   0   ?)

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

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

fof(f3,negated_conjecture,
    ! [V] : response(a,V) != response(odd_bird,V),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f4,hypothesis,
    c = compose(a,b),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f5,plain,
    ! [X0,X1,X2] : response(compose(X0,X1),X2) = response(X0,response(X1,X2)),
    inference(cnf_transformation,[status(esa)],[f1]) ).

fof(f6,plain,
    ! [X0] : response(c,common_bird(X0)) = response(X0,common_bird(X0)),
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f7,plain,
    ! [X0] : response(a,X0) != response(odd_bird,X0),
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f8,plain,
    c = compose(a,b),
    inference(cnf_transformation,[status(esa)],[f4]) ).

fof(f11,plain,
    ! [X0] : response(a,response(b,X0)) = response(c,X0),
    inference(paramodulation,[status(thm)],[f8,f5]) ).

fof(f12,plain,
    ! [X0,X1] : response(c,common_bird(compose(X0,X1))) = response(X0,response(X1,common_bird(compose(X0,X1)))),
    inference(paramodulation,[status(thm)],[f5,f6]) ).

fof(f21,plain,
    ! [X0] : response(a,response(X0,common_bird(compose(odd_bird,X0)))) != response(c,common_bird(compose(odd_bird,X0))),
    inference(paramodulation,[status(thm)],[f12,f7]) ).

fof(f25,plain,
    $false,
    inference(resolution,[status(thm)],[f21,f11]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem  : COL052-1 : TPTP v8.1.2. Released v1.0.0.
% 0.12/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.35  % Computer : n025.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Mon Apr 29 22:46:11 EDT 2024
% 0.13/0.35  % CPUTime  : 
% 0.13/0.36  % Drodi V3.6.0
% 0.13/0.36  % Refutation found
% 0.13/0.36  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.36  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.37  % Elapsed time: 0.016004 seconds
% 0.13/0.37  % CPU time: 0.029844 seconds
% 0.13/0.37  % Total memory used: 2.600 MB
% 0.13/0.37  % Net memory used: 2.532 MB
%------------------------------------------------------------------------------