TSTP Solution File: GEO054-2 by Drodi---3.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : GEO054-2 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n031.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 : Wed May 31 12:07:36 EDT 2023

% Result   : Unsatisfiable 0.15s 0.54s
% Output   : CNFRefutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    3
% Syntax   : Number of formulae    :    8 (   8 unt;   0 def)
%            Number of atoms       :    8 (   2 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    2 (   2   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-4 aty)
%            Number of variables   :   14 (;  14   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f4,axiom,
    ! [X,Y,W,V] : between(X,Y,extension(X,Y,W,V)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f19,axiom,
    ! [U,V] : reflection(U,V) = extension(U,V,U,V),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f20,negated_conjecture,
    ~ between(u,v,reflection(u,v)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f26,plain,
    ! [X0,X1,X2,X3] : between(X0,X1,extension(X0,X1,X2,X3)),
    inference(cnf_transformation,[status(esa)],[f4]) ).

fof(f43,plain,
    ! [X0,X1] : reflection(X0,X1) = extension(X0,X1,X0,X1),
    inference(cnf_transformation,[status(esa)],[f19]) ).

fof(f44,plain,
    ~ between(u,v,reflection(u,v)),
    inference(cnf_transformation,[status(esa)],[f20]) ).

fof(f46,plain,
    ! [X0,X1] : between(X0,X1,reflection(X0,X1)),
    inference(paramodulation,[status(thm)],[f43,f26]) ).

fof(f47,plain,
    $false,
    inference(backward_subsumption_resolution,[status(thm)],[f44,f46]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem  : GEO054-2 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.11  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.31  % Computer : n031.cluster.edu
% 0.09/0.31  % Model    : x86_64 x86_64
% 0.09/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.31  % Memory   : 8042.1875MB
% 0.09/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.31  % CPULimit : 300
% 0.09/0.31  % WCLimit  : 300
% 0.09/0.31  % DateTime : Tue May 30 12:22:07 EDT 2023
% 0.09/0.31  % CPUTime  : 
% 0.15/0.32  % Drodi V3.5.1
% 0.15/0.54  % Refutation found
% 0.15/0.54  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/0.54  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.15/0.54  % Elapsed time: 0.012800 seconds
% 0.15/0.54  % CPU time: 0.011612 seconds
% 0.15/0.54  % Memory used: 3.601 MB
%------------------------------------------------------------------------------