%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : SWV817-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n029.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 12:44:03 EDT 2023

% Result   : Unsatisfiable 0.13s 0.37s
% Output   : CNFRefutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   17 (   8 unt;   0 def)
%            Number of atoms       :   26 (   7 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   17 (   8   ~;   7   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    3 (   2 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   4 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :    4 (;   4   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f5,axiom,
    ( v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__1 != v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__2
    | ~ c_Hoare__Mirabelle_Ostate__not__singleton ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f6,negated_conjecture,
    c_Hoare__Mirabelle_Ostate__not__singleton,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f7,negated_conjecture,
    ! [V_s] : V_s = v_x,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f13,plain,
    ( v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__1 != v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__2
    | ~ c_Hoare__Mirabelle_Ostate__not__singleton ),
    inference(cnf_transformation,[status(esa)],[f5]) ).

fof(f14,plain,
    c_Hoare__Mirabelle_Ostate__not__singleton,
    inference(cnf_transformation,[status(esa)],[f6]) ).

fof(f15,plain,
    ! [X0] : X0 = v_x,
    inference(cnf_transformation,[status(esa)],[f7]) ).

fof(f19,plain,
    ( spl0_1
  <=> c_Hoare__Mirabelle_Ostate__not__singleton ),
    introduced(split_symbol_definition) ).

fof(f21,plain,
    ( ~ c_Hoare__Mirabelle_Ostate__not__singleton
    | spl0_1 ),
    inference(component_clause,[status(thm)],[f19]) ).

fof(f27,plain,
    ( spl0_3
  <=> v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__1 = v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__2 ),
    introduced(split_symbol_definition) ).

fof(f29,plain,
    ( v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__1 != v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__2
    | spl0_3 ),
    inference(component_clause,[status(thm)],[f27]) ).

fof(f30,plain,
    ( ~ spl0_3
    | ~ spl0_1 ),
    inference(split_clause,[status(thm)],[f13,f27,f19]) ).

fof(f31,plain,
    ! [X0,X1] : X0 = X1,
    inference(paramodulation,[status(thm)],[f15,f15]) ).

fof(f32,plain,
    ( $false
    | spl0_3 ),
    inference(forward_subsumption_resolution,[status(thm)],[f29,f31]) ).

fof(f33,plain,
    spl0_3,
    inference(contradiction_clause,[status(thm)],[f32]) ).

fof(f34,plain,
    ( $false
    | spl0_1 ),
    inference(forward_subsumption_resolution,[status(thm)],[f21,f14]) ).

fof(f35,plain,
    spl0_1,
    inference(contradiction_clause,[status(thm)],[f34]) ).

fof(f36,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f30,f33,f35]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SWV817-1 : TPTP v8.1.2. Released v4.1.0.
% 0.07/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34  % Computer : n029.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 11:56:22 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.13/0.35  % Drodi V3.5.1
% 0.13/0.37  % Refutation found
% 0.13/0.37  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.37  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.37  % Elapsed time: 0.021242 seconds
% 0.13/0.37  % CPU time: 0.023872 seconds
% 0.13/0.37  % Memory used: 12.402 MB
%------------------------------------------------------------------------------