TSTP Solution File: COL058-3 by Drodi---3.6.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : COL058-3 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n027.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 20:13:41 EDT 2024

% Result   : Unsatisfiable 0.20s 0.36s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   14 (  14 unt;   0 def)
%            Number of atoms       :   14 (  13 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    8 (   8   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    3 (   2 avg)
%            Maximal term depth    :    8 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    2 (   2 usr;   1 con; 0-2 aty)
%            Number of variables   :   10 (  10   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X1,X2] : response(response(lark,X1),X2) = response(X1,response(X2,X2)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f2,negated_conjecture,
    response(response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))),response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark)))) != response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f3,plain,
    ! [X0,X1] : response(response(lark,X0),X1) = response(X0,response(X1,X1)),
    inference(cnf_transformation,[status(esa)],[f1]) ).

fof(f4,plain,
    response(response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))),response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark)))) != response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))),
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f5,plain,
    ! [X0,X1] : response(response(response(lark,lark),X0),X1) = response(response(X0,X0),response(X1,X1)),
    inference(paramodulation,[status(thm)],[f3,f3]) ).

fof(f8,plain,
    ! [X0,X1] : response(response(response(lark,lark),X0),X1) = response(response(lark,response(X0,X0)),X1),
    inference(paramodulation,[status(thm)],[f3,f5]) ).

fof(f15,plain,
    ! [X0,X1] : response(response(lark,X0),response(X1,X1)) = response(X0,response(response(response(lark,lark),X1),X1)),
    inference(paramodulation,[status(thm)],[f5,f3]) ).

fof(f16,plain,
    response(response(lark,response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark)))),response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))) != response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))),
    inference(backward_demodulation,[status(thm)],[f15,f4]) ).

fof(f17,plain,
    response(response(lark,response(lark,response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))))),response(lark,response(lark,lark))) != response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))),
    inference(forward_demodulation,[status(thm)],[f3,f16]) ).

fof(f18,plain,
    response(response(lark,response(response(lark,lark),response(response(lark,response(lark,lark)),response(lark,response(lark,lark))))),response(lark,response(lark,lark))) != response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))),
    inference(forward_demodulation,[status(thm)],[f15,f17]) ).

fof(f19,plain,
    response(response(lark,response(response(response(lark,lark),lark),response(lark,response(lark,lark)))),response(lark,response(lark,lark))) != response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))),
    inference(forward_demodulation,[status(thm)],[f5,f18]) ).

fof(f21,plain,
    response(response(lark,response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))),response(lark,response(lark,lark))) != response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))),
    inference(paramodulation,[status(thm)],[f3,f19]) ).

fof(f22,plain,
    response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))) != response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))),
    inference(forward_demodulation,[status(thm)],[f8,f21]) ).

fof(f23,plain,
    $false,
    inference(trivial_equality_resolution,[status(esa)],[f22]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : COL058-3 : TPTP v8.1.2. Released v1.0.0.
% 0.03/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.35  % Computer : n027.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 22:55:02 EDT 2024
% 0.14/0.35  % CPUTime  : 
% 0.14/0.36  % Drodi V3.6.0
% 0.20/0.36  % Refutation found
% 0.20/0.36  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.20/0.36  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.20/0.37  % Elapsed time: 0.016855 seconds
% 0.20/0.37  % CPU time: 0.030401 seconds
% 0.20/0.37  % Total memory used: 2.547 MB
% 0.20/0.37  % Net memory used: 2.518 MB
%------------------------------------------------------------------------------