TSTP Solution File: COL058-1 by Drodi---3.6.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : COL058-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n012.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 0.14s 0.35s
% Output   : CNFRefutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    2
% Syntax   : Number of formulae    :    8 (   8 unt;   0 def)
%            Number of atoms       :    8 (   7 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    5 (   5   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    3 (   3 avg)
%            Maximal term depth    :    5 (   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   :    9 (   9   !;   0   ?)

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

fof(f2,negated_conjecture,
    ! [X] : response(X,X) != X,
    file('/export/starexec/sandbox/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,
    ! [X0] : response(X0,X0) != X0,
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f7,plain,
    ! [X0] : response(X0,X0) != response(response(lark,response(X0,X0)),X0),
    inference(paramodulation,[status(thm)],[f3,f4]) ).

fof(f10,plain,
    ! [X0] : response(X0,X0) != response(response(response(lark,lark),X0),X0),
    inference(paramodulation,[status(thm)],[f3,f7]) ).

fof(f14,plain,
    ! [X0] : response(response(X0,X0),response(X0,X0)) != response(response(response(lark,response(lark,lark)),X0),response(X0,X0)),
    inference(paramodulation,[status(thm)],[f3,f10]) ).

fof(f15,plain,
    $false,
    inference(equality_resolution,[status(esa)],[f14]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : COL058-1 : TPTP v8.1.2. Released v1.0.0.
% 0.11/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.34  % Computer : n012.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 300
% 0.14/0.34  % DateTime : Mon Apr 29 22:19:27 EDT 2024
% 0.14/0.34  % CPUTime  : 
% 0.14/0.35  % Drodi V3.6.0
% 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
% 0.14/0.36  % Elapsed time: 0.014589 seconds
% 0.14/0.36  % CPU time: 0.023668 seconds
% 0.14/0.36  % Total memory used: 2.346 MB
% 0.14/0.36  % Net memory used: 2.173 MB
%------------------------------------------------------------------------------