%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : GEO001-2 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n013.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 12:07:20 EDT 2023

% Result   : Unsatisfiable 0.15s 0.35s
% Output   : CNFRefutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   37 (  15 unt;   0 def)
%            Number of atoms       :   66 (   9 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   56 (  27   ~;  26   |;   0   &)
%                                         (   3 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   4 prp; 0-4 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-5 aty)
%            Number of variables   :   61 (;  61   !;   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(f8,axiom,
    ! [U,V,W,Y,X] :
      ( ~ between(U,V,W)
      | ~ between(Y,X,W)
      | between(V,inner_pasch(U,V,W,X,Y),Y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f9,axiom,
    ! [U,V,W,Y,X] :
      ( ~ between(U,V,W)
      | ~ between(Y,X,W)
      | between(X,inner_pasch(U,V,W,X,Y),U) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f19,hypothesis,
    between(a,b,c),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f20,negated_conjecture,
    ~ between(c,b,a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f24,plain,
    ! [X,Y] :
      ( ! [Z] : ~ equidistant(X,Y,Z,Z)
      | X = Y ),
    inference(miniscoping,[status(esa)],[f3]) ).

fof(f25,plain,
    ! [X0,X1,X2] :
      ( ~ equidistant(X0,X1,X2,X2)
      | X0 = X1 ),
    inference(cnf_transformation,[status(esa)],[f24]) ).

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

fof(f27,plain,
    ! [X0,X1,X2,X3] : equidistant(X0,extension(X1,X0,X2,X3),X2,X3),
    inference(cnf_transformation,[status(esa)],[f5]) ).

fof(f30,plain,
    ! [X0,X1] :
      ( ~ between(X0,X1,X0)
      | X0 = X1 ),
    inference(cnf_transformation,[status(esa)],[f7]) ).

fof(f31,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ between(X0,X1,X2)
      | ~ between(X3,X4,X2)
      | between(X1,inner_pasch(X0,X1,X2,X4,X3),X3) ),
    inference(cnf_transformation,[status(esa)],[f8]) ).

fof(f32,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ between(X0,X1,X2)
      | ~ between(X3,X4,X2)
      | between(X4,inner_pasch(X0,X1,X2,X4,X3),X0) ),
    inference(cnf_transformation,[status(esa)],[f9]) ).

fof(f43,plain,
    between(a,b,c),
    inference(cnf_transformation,[status(esa)],[f19]) ).

fof(f44,plain,
    ~ between(c,b,a),
    inference(cnf_transformation,[status(esa)],[f20]) ).

fof(f50,plain,
    ! [X0,X1,X2] : X0 = extension(X1,X0,X2,X2),
    inference(resolution,[status(thm)],[f27,f25]) ).

fof(f52,plain,
    ! [X0,X1] : between(X0,X1,X1),
    inference(paramodulation,[status(thm)],[f50,f26]) ).

fof(f174,plain,
    ! [X0,X1,X2,X3] :
      ( ~ between(X0,X1,X2)
      | ~ between(X1,X3,X2)
      | X1 = inner_pasch(X0,X1,X2,X3,X1) ),
    inference(resolution,[status(thm)],[f31,f30]) ).

fof(f513,plain,
    ! [X0,X1,X2] :
      ( ~ between(X0,X1,X2)
      | X1 = inner_pasch(X0,X1,X2,X2,X1) ),
    inference(resolution,[status(thm)],[f174,f52]) ).

fof(f514,plain,
    b = inner_pasch(a,b,c,c,b),
    inference(resolution,[status(thm)],[f513,f43]) ).

fof(f568,plain,
    ( spl0_16
  <=> between(a,b,c) ),
    introduced(split_symbol_definition) ).

fof(f570,plain,
    ( ~ between(a,b,c)
    | spl0_16 ),
    inference(component_clause,[status(thm)],[f568]) ).

fof(f571,plain,
    ( spl0_17
  <=> between(b,c,c) ),
    introduced(split_symbol_definition) ).

fof(f573,plain,
    ( ~ between(b,c,c)
    | spl0_17 ),
    inference(component_clause,[status(thm)],[f571]) ).

fof(f574,plain,
    ( spl0_18
  <=> between(c,b,a) ),
    introduced(split_symbol_definition) ).

fof(f575,plain,
    ( between(c,b,a)
    | ~ spl0_18 ),
    inference(component_clause,[status(thm)],[f574]) ).

fof(f577,plain,
    ( ~ between(a,b,c)
    | ~ between(b,c,c)
    | between(c,b,a) ),
    inference(paramodulation,[status(thm)],[f514,f32]) ).

fof(f578,plain,
    ( ~ spl0_16
    | ~ spl0_17
    | spl0_18 ),
    inference(split_clause,[status(thm)],[f577,f568,f571,f574]) ).

fof(f586,plain,
    ( $false
    | spl0_17 ),
    inference(forward_subsumption_resolution,[status(thm)],[f573,f52]) ).

fof(f587,plain,
    spl0_17,
    inference(contradiction_clause,[status(thm)],[f586]) ).

fof(f588,plain,
    ( $false
    | spl0_16 ),
    inference(forward_subsumption_resolution,[status(thm)],[f570,f43]) ).

fof(f589,plain,
    spl0_16,
    inference(contradiction_clause,[status(thm)],[f588]) ).

fof(f590,plain,
    ( $false
    | ~ spl0_18 ),
    inference(forward_subsumption_resolution,[status(thm)],[f575,f44]) ).

fof(f591,plain,
    ~ spl0_18,
    inference(contradiction_clause,[status(thm)],[f590]) ).

fof(f592,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f578,f587,f589,f591]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10  % Problem  : GEO001-2 : TPTP v8.1.2. Released v1.0.0.
% 0.02/0.11  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.31  % Computer : n013.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit : 300
% 0.10/0.31  % WCLimit  : 300
% 0.10/0.31  % DateTime : Tue May 30 11:58:50 EDT 2023
% 0.10/0.31  % CPUTime  : 
% 0.15/0.32  % Drodi V3.5.1
% 0.15/0.35  % Refutation found
% 0.15/0.35  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/0.35  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.15/0.40  % Elapsed time: 0.083612 seconds
% 0.15/0.40  % CPU time: 0.057541 seconds
% 0.15/0.40  % Memory used: 6.093 MB
%------------------------------------------------------------------------------