%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : GEO006-3 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n007.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 12:07:23 EDT 2023

% Result   : Unsatisfiable 0.22s 0.58s
% Output   : CNFRefutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   30 (   9 unt;   0 def)
%            Number of atoms       :   57 (  16 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   53 (  26   ~;  23   |;   0   &)
%                                         (   4 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   5 prp; 0-3 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :   18 (;  18   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f48,axiom,
    ! [U,V,W] :
      ( ~ between(U,V,W)
      | ~ between(V,U,W)
      | U = V ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f49,axiom,
    ! [U,V,W] :
      ( ~ between(U,V,W)
      | ~ between(U,W,V)
      | V = W ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f50,hypothesis,
    a != c,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f52,hypothesis,
    c != d,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f53,hypothesis,
    between(a,c,d),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f54,negated_conjecture,
    ( between(c,a,d)
    | between(a,d,c) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f112,plain,
    ! [U,V] :
      ( ! [W] :
          ( ~ between(U,V,W)
          | ~ between(V,U,W) )
      | U = V ),
    inference(miniscoping,[status(esa)],[f48]) ).

fof(f113,plain,
    ! [X0,X1,X2] :
      ( ~ between(X0,X1,X2)
      | ~ between(X1,X0,X2)
      | X0 = X1 ),
    inference(cnf_transformation,[status(esa)],[f112]) ).

fof(f114,plain,
    ! [V,W] :
      ( ! [U] :
          ( ~ between(U,V,W)
          | ~ between(U,W,V) )
      | V = W ),
    inference(miniscoping,[status(esa)],[f49]) ).

fof(f115,plain,
    ! [X0,X1,X2] :
      ( ~ between(X0,X1,X2)
      | ~ between(X0,X2,X1)
      | X1 = X2 ),
    inference(cnf_transformation,[status(esa)],[f114]) ).

fof(f116,plain,
    a != c,
    inference(cnf_transformation,[status(esa)],[f50]) ).

fof(f118,plain,
    c != d,
    inference(cnf_transformation,[status(esa)],[f52]) ).

fof(f119,plain,
    between(a,c,d),
    inference(cnf_transformation,[status(esa)],[f53]) ).

fof(f120,plain,
    ( between(c,a,d)
    | between(a,d,c) ),
    inference(cnf_transformation,[status(esa)],[f54]) ).

fof(f121,plain,
    ( spl0_0
  <=> between(c,a,d) ),
    introduced(split_symbol_definition) ).

fof(f124,plain,
    ( spl0_1
  <=> between(a,d,c) ),
    introduced(split_symbol_definition) ).

fof(f127,plain,
    ( spl0_0
    | spl0_1 ),
    inference(split_clause,[status(thm)],[f120,f121,f124]) ).

fof(f140,plain,
    ( spl0_3
  <=> c = d ),
    introduced(split_symbol_definition) ).

fof(f141,plain,
    ( c = d
    | ~ spl0_3 ),
    inference(component_clause,[status(thm)],[f140]) ).

fof(f145,plain,
    ( spl0_4
  <=> c = a ),
    introduced(split_symbol_definition) ).

fof(f146,plain,
    ( c = a
    | ~ spl0_4 ),
    inference(component_clause,[status(thm)],[f145]) ).

fof(f148,plain,
    ( ~ between(c,a,d)
    | c = a ),
    inference(resolution,[status(thm)],[f113,f119]) ).

fof(f149,plain,
    ( ~ spl0_0
    | spl0_4 ),
    inference(split_clause,[status(thm)],[f148,f121,f145]) ).

fof(f151,plain,
    ( $false
    | ~ spl0_4 ),
    inference(forward_subsumption_resolution,[status(thm)],[f146,f116]) ).

fof(f152,plain,
    ~ spl0_4,
    inference(contradiction_clause,[status(thm)],[f151]) ).

fof(f158,plain,
    ( ~ between(a,d,c)
    | d = c ),
    inference(resolution,[status(thm)],[f115,f119]) ).

fof(f159,plain,
    ( ~ spl0_1
    | spl0_3 ),
    inference(split_clause,[status(thm)],[f158,f124,f140]) ).

fof(f161,plain,
    ( $false
    | ~ spl0_3 ),
    inference(forward_subsumption_resolution,[status(thm)],[f141,f118]) ).

fof(f162,plain,
    ~ spl0_3,
    inference(contradiction_clause,[status(thm)],[f161]) ).

fof(f163,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f127,f149,f152,f159,f162]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : GEO006-3 : TPTP v8.1.2. Released v1.0.0.
% 0.03/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34  % Computer : n007.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 11:51:02 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.13/0.35  % Drodi V3.5.1
% 0.22/0.58  % Refutation found
% 0.22/0.58  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.22/0.58  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.22/0.58  % Elapsed time: 0.015074 seconds
% 0.22/0.58  % CPU time: 0.031604 seconds
% 0.22/0.58  % Memory used: 14.597 MB
%------------------------------------------------------------------------------