%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : GEO039-2 : 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 : Wed May 31 12:07:32 EDT 2023

% Result   : Unsatisfiable 0.13s 0.35s
% Output   : CNFRefutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   22 (  17 unt;   0 def)
%            Number of atoms       :   27 (   9 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   14 (   9   ~;   5   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-4 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-4 aty)
%            Number of variables   :   34 (;  34   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f3,axiom,
    ! [X,Y,Z] :
      ( ~ equidistant(X,Y,Z,Z)
      | X = Y ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

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

fof(f5,axiom,
    ! [Y,X,W,V] : equidistant(Y,extension(X,Y,W,V),W,V),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f7,axiom,
    ! [X,Y] :
      ( ~ between(X,Y,X)
      | X = Y ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f19,hypothesis,
    between(u,w,x),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f20,hypothesis,
    u = x,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f21,negated_conjecture,
    ~ between(v,w,x),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f25,plain,
    ! [X,Y] :
      ( ! [Z] : ~ equidistant(X,Y,Z,Z)
      | X = Y ),
    inference(miniscoping,[status(esa)],[f3]) ).

fof(f26,plain,
    ! [X0,X1,X2] :
      ( ~ equidistant(X0,X1,X2,X2)
      | X0 = X1 ),
    inference(cnf_transformation,[status(esa)],[f25]) ).

fof(f27,plain,
    ! [X0,X1,X2,X3] : between(X0,X1,extension(X0,X1,X2,X3)),
    inference(cnf_transformation,[status(esa)],[f4]) ).

fof(f28,plain,
    ! [X0,X1,X2,X3] : equidistant(X0,extension(X1,X0,X2,X3),X2,X3),
    inference(cnf_transformation,[status(esa)],[f5]) ).

fof(f31,plain,
    ! [X0,X1] :
      ( ~ between(X0,X1,X0)
      | X0 = X1 ),
    inference(cnf_transformation,[status(esa)],[f7]) ).

fof(f44,plain,
    between(u,w,x),
    inference(cnf_transformation,[status(esa)],[f19]) ).

fof(f45,plain,
    u = x,
    inference(cnf_transformation,[status(esa)],[f20]) ).

fof(f46,plain,
    ~ between(v,w,x),
    inference(cnf_transformation,[status(esa)],[f21]) ).

fof(f47,plain,
    between(u,w,u),
    inference(backward_demodulation,[status(thm)],[f45,f44]) ).

fof(f48,plain,
    ~ between(v,w,u),
    inference(backward_demodulation,[status(thm)],[f45,f46]) ).

fof(f49,plain,
    u = w,
    inference(resolution,[status(thm)],[f47,f31]) ).

fof(f51,plain,
    ~ between(v,u,u),
    inference(backward_demodulation,[status(thm)],[f49,f48]) ).

fof(f52,plain,
    ! [X0,X1,X2] : X0 = extension(X1,X0,X2,X2),
    inference(resolution,[status(thm)],[f28,f26]) ).

fof(f56,plain,
    ! [X0,X1] : between(X0,X1,X1),
    inference(paramodulation,[status(thm)],[f52,f27]) ).

fof(f57,plain,
    $false,
    inference(backward_subsumption_resolution,[status(thm)],[f51,f56]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : GEO039-2 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.33  % Computer : n012.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 300
% 0.13/0.33  % DateTime : Tue May 30 11:56:40 EDT 2023
% 0.13/0.33  % CPUTime  : 
% 0.13/0.34  % Drodi V3.5.1
% 0.13/0.35  % Refutation found
% 0.13/0.35  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.35  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.36  % Elapsed time: 0.024300 seconds
% 0.13/0.36  % CPU time: 0.031907 seconds
% 0.13/0.36  % Memory used: 14.327 MB
%------------------------------------------------------------------------------