%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : GEO040-3 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n021.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 : Tue Apr 30 20:16:54 EDT 2024

% Result   : Unsatisfiable 2.88s 0.76s
% Output   : CNFRefutation 2.88s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   44 (  13 unt;   0 def)
%            Number of atoms       :   81 (  19 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   70 (  33   ~;  34   |;   0   &)
%                                         (   3 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   4 prp; 0-3 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-5 aty)
%            Number of variables   :   52 (  52   !;   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(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(f39,axiom,
    ! [U,V,W] :
      ( ~ between(U,V,W)
      | U = V
      | W = extension(U,V,V,W) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f46,axiom,
    ! [U,V,W] :
      ( ~ between(U,V,W)
      | between(W,V,U) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f48,hypothesis,
    between(u,v,w),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f49,hypothesis,
    between(v,u,w),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f50,negated_conjecture,
    u != v,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f56,plain,
    ! [X0,X1,X2,X3] : between(X0,X1,extension(X0,X1,X2,X3)),
    inference(cnf_transformation,[status(esa)],[f4]) ).

fof(f60,plain,
    ! [X0,X1] :
      ( ~ between(X0,X1,X0)
      | X0 = X1 ),
    inference(cnf_transformation,[status(esa)],[f7]) ).

fof(f61,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(f62,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(f97,plain,
    ! [X0,X1,X2] :
      ( ~ between(X0,X1,X2)
      | X0 = X1
      | X2 = extension(X0,X1,X1,X2) ),
    inference(cnf_transformation,[status(esa)],[f39]) ).

fof(f106,plain,
    ! [X0,X1,X2] :
      ( ~ between(X0,X1,X2)
      | between(X2,X1,X0) ),
    inference(cnf_transformation,[status(esa)],[f46]) ).

fof(f108,plain,
    between(u,v,w),
    inference(cnf_transformation,[status(esa)],[f48]) ).

fof(f109,plain,
    between(v,u,w),
    inference(cnf_transformation,[status(esa)],[f49]) ).

fof(f110,plain,
    u != v,
    inference(cnf_transformation,[status(esa)],[f50]) ).

fof(f138,plain,
    between(w,u,v),
    inference(resolution,[status(thm)],[f106,f109]) ).

fof(f139,plain,
    between(w,v,u),
    inference(resolution,[status(thm)],[f106,f108]) ).

fof(f140,plain,
    ! [X0,X1,X2,X3] : between(extension(X0,X1,X2,X3),X1,X0),
    inference(resolution,[status(thm)],[f106,f56]) ).

fof(f168,plain,
    ! [X0,X1] :
      ( ~ between(X0,X1,w)
      | between(u,inner_pasch(v,u,w,X1,X0),X0) ),
    inference(resolution,[status(thm)],[f61,f109]) ).

fof(f178,plain,
    ! [X0,X1] :
      ( ~ between(X0,X1,w)
      | between(X1,inner_pasch(v,u,w,X1,X0),v) ),
    inference(resolution,[status(thm)],[f62,f109]) ).

fof(f263,plain,
    ( spl0_1
  <=> w = v ),
    introduced(split_symbol_definition) ).

fof(f264,plain,
    ( w = v
    | ~ spl0_1 ),
    inference(component_clause,[status(thm)],[f263]) ).

fof(f280,plain,
    ( spl0_5
  <=> v = u ),
    introduced(split_symbol_definition) ).

fof(f281,plain,
    ( v = u
    | ~ spl0_5 ),
    inference(component_clause,[status(thm)],[f280]) ).

fof(f293,plain,
    ( $false
    | ~ spl0_5 ),
    inference(forward_subsumption_resolution,[status(thm)],[f281,f110]) ).

fof(f294,plain,
    ~ spl0_5,
    inference(contradiction_clause,[status(thm)],[f293]) ).

fof(f344,plain,
    ( between(v,u,v)
    | ~ spl0_1 ),
    inference(backward_demodulation,[status(thm)],[f264,f138]) ).

fof(f356,plain,
    ( v = u
    | ~ spl0_1 ),
    inference(resolution,[status(thm)],[f344,f60]) ).

fof(f357,plain,
    ( spl0_5
    | ~ spl0_1 ),
    inference(split_clause,[status(thm)],[f356,f280,f263]) ).

fof(f688,plain,
    ( spl0_26
  <=> u = extension(w,v,v,u) ),
    introduced(split_symbol_definition) ).

fof(f689,plain,
    ( u = extension(w,v,v,u)
    | ~ spl0_26 ),
    inference(component_clause,[status(thm)],[f688]) ).

fof(f691,plain,
    ( w = v
    | u = extension(w,v,v,u) ),
    inference(resolution,[status(thm)],[f97,f139]) ).

fof(f692,plain,
    ( spl0_1
    | spl0_26 ),
    inference(split_clause,[status(thm)],[f691,f263,f688]) ).

fof(f1023,plain,
    ( between(u,v,w)
    | ~ spl0_26 ),
    inference(paramodulation,[status(thm)],[f689,f140]) ).

fof(f2606,plain,
    ( between(u,inner_pasch(v,u,w,v,u),u)
    | ~ spl0_26 ),
    inference(resolution,[status(thm)],[f168,f1023]) ).

fof(f3103,plain,
    ( u = inner_pasch(v,u,w,v,u)
    | ~ spl0_26 ),
    inference(resolution,[status(thm)],[f2606,f60]) ).

fof(f3474,plain,
    ( between(v,inner_pasch(v,u,w,v,u),v)
    | ~ spl0_26 ),
    inference(resolution,[status(thm)],[f178,f1023]) ).

fof(f3475,plain,
    ( between(v,u,v)
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f3103,f3474]) ).

fof(f3713,plain,
    ( v = u
    | ~ spl0_26 ),
    inference(resolution,[status(thm)],[f3475,f60]) ).

fof(f3714,plain,
    ( spl0_5
    | ~ spl0_26 ),
    inference(split_clause,[status(thm)],[f3713,f280,f688]) ).

fof(f3715,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f294,f357,f692,f3714]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13  % Problem  : GEO040-3 : TPTP v8.1.2. Released v1.0.0.
% 0.13/0.14  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.15/0.35  % Computer : n021.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit : 300
% 0.15/0.35  % WCLimit  : 300
% 0.15/0.35  % DateTime : Tue Apr 30 01:44:10 EDT 2024
% 0.15/0.36  % CPUTime  : 
% 0.15/0.38  % Drodi V3.6.0
% 2.88/0.76  % Refutation found
% 2.88/0.76  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 2.88/0.76  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 3.09/0.78  % Elapsed time: 0.407808 seconds
% 3.09/0.78  % CPU time: 3.046869 seconds
% 3.09/0.78  % Total memory used: 79.410 MB
% 3.09/0.78  % Net memory used: 77.242 MB
%------------------------------------------------------------------------------