TSTP Solution File: GEO047-3 by Drodi---3.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : GEO047-3 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n008.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 12:07:34 EDT 2023

% Result   : Unsatisfiable 0.20s 0.37s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   17 (  11 unt;   0 def)
%            Number of atoms       :   26 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   20 (  11   ~;   9   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :   19 (;  19   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f46,axiom,
    ! [U,V,W] :
      ( ~ between(U,V,W)
      | between(W,V,U) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f56,axiom,
    ! [U,V,X,W] :
      ( ~ between(U,V,X)
      | ~ between(V,W,X)
      | between(U,W,X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f57,hypothesis,
    between(u,v,w),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f58,hypothesis,
    between(u,w,x),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f59,negated_conjecture,
    ~ between(u,v,x),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f115,plain,
    ! [X0,X1,X2] :
      ( ~ between(X0,X1,X2)
      | between(X2,X1,X0) ),
    inference(cnf_transformation,[status(esa)],[f46]) ).

fof(f133,plain,
    ! [U,X,W] :
      ( ! [V] :
          ( ~ between(U,V,X)
          | ~ between(V,W,X) )
      | between(U,W,X) ),
    inference(miniscoping,[status(esa)],[f56]) ).

fof(f134,plain,
    ! [X0,X1,X2,X3] :
      ( ~ between(X0,X1,X2)
      | ~ between(X1,X3,X2)
      | between(X0,X3,X2) ),
    inference(cnf_transformation,[status(esa)],[f133]) ).

fof(f135,plain,
    between(u,v,w),
    inference(cnf_transformation,[status(esa)],[f57]) ).

fof(f136,plain,
    between(u,w,x),
    inference(cnf_transformation,[status(esa)],[f58]) ).

fof(f137,plain,
    ~ between(u,v,x),
    inference(cnf_transformation,[status(esa)],[f59]) ).

fof(f143,plain,
    between(x,w,u),
    inference(resolution,[status(thm)],[f115,f136]) ).

fof(f144,plain,
    between(w,v,u),
    inference(resolution,[status(thm)],[f115,f135]) ).

fof(f301,plain,
    ! [X0] :
      ( ~ between(w,X0,u)
      | between(x,X0,u) ),
    inference(resolution,[status(thm)],[f134,f143]) ).

fof(f473,plain,
    between(x,v,u),
    inference(resolution,[status(thm)],[f301,f144]) ).

fof(f501,plain,
    between(u,v,x),
    inference(resolution,[status(thm)],[f473,f115]) ).

fof(f502,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f501,f137]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : GEO047-3 : TPTP v8.1.2. Released v1.0.0.
% 0.13/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34  % Computer : n008.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Tue May 30 12:04:53 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.20/0.35  % Drodi V3.5.1
% 0.20/0.37  % Refutation found
% 0.20/0.37  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.20/0.37  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.20/0.38  % Elapsed time: 0.037281 seconds
% 0.20/0.38  % CPU time: 0.140253 seconds
% 0.20/0.38  % Memory used: 17.294 MB
%------------------------------------------------------------------------------