%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : SWW469+5 : TPTP v8.1.2. Released v5.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n010.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 20:50:18 EDT 2024

% Result   : Theorem 0.15s 0.33s
% Output   : CNFRefutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   22 (  11 unt;   0 def)
%            Number of atoms       :   37 (  14 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   29 (  14   ~;  10   |;   2   &)
%                                         (   3 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   3 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   5 con; 0-2 aty)
%            Number of variables   :   18 (  13   !;   5   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f18,axiom,
    ( hBOOL(hoare_1883395792gleton)
  <=> ? [S,T] : ti(state,S) != ti(state,T) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f62,hypothesis,
    hBOOL(hoare_1883395792gleton),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f63,conjecture,
    ! [T] :
      ~ ! [S] : ti(state,S) = ti(state,T),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f64,negated_conjecture,
    ~ ! [T] :
        ~ ! [S] : ti(state,S) = ti(state,T),
    inference(negated_conjecture,[status(cth)],[f63]) ).

fof(f86,plain,
    ( ( ~ hBOOL(hoare_1883395792gleton)
      | ? [S,T] : ti(state,S) != ti(state,T) )
    & ( hBOOL(hoare_1883395792gleton)
      | ! [S,T] : ti(state,S) = ti(state,T) ) ),
    inference(NNF_transformation,[status(esa)],[f18]) ).

fof(f87,plain,
    ( ( ~ hBOOL(hoare_1883395792gleton)
      | ti(state,sk0_0) != ti(state,sk0_1) )
    & ( hBOOL(hoare_1883395792gleton)
      | ! [S,T] : ti(state,S) = ti(state,T) ) ),
    inference(skolemization,[status(esa)],[f86]) ).

fof(f88,plain,
    ( ~ hBOOL(hoare_1883395792gleton)
    | ti(state,sk0_0) != ti(state,sk0_1) ),
    inference(cnf_transformation,[status(esa)],[f87]) ).

fof(f202,plain,
    hBOOL(hoare_1883395792gleton),
    inference(cnf_transformation,[status(esa)],[f62]) ).

fof(f203,plain,
    ? [T] :
    ! [S] : ti(state,S) = ti(state,T),
    inference(pre_NNF_transformation,[status(esa)],[f64]) ).

fof(f204,plain,
    ! [S] : ti(state,S) = ti(state,sk0_11),
    inference(skolemization,[status(esa)],[f203]) ).

fof(f205,plain,
    ! [X0] : ti(state,X0) = ti(state,sk0_11),
    inference(cnf_transformation,[status(esa)],[f204]) ).

fof(f206,plain,
    ( spl0_0
  <=> hBOOL(hoare_1883395792gleton) ),
    introduced(split_symbol_definition) ).

fof(f208,plain,
    ( ~ hBOOL(hoare_1883395792gleton)
    | spl0_0 ),
    inference(component_clause,[status(thm)],[f206]) ).

fof(f209,plain,
    ( spl0_1
  <=> ti(state,sk0_0) = ti(state,sk0_1) ),
    introduced(split_symbol_definition) ).

fof(f211,plain,
    ( ti(state,sk0_0) != ti(state,sk0_1)
    | spl0_1 ),
    inference(component_clause,[status(thm)],[f209]) ).

fof(f212,plain,
    ( ~ spl0_0
    | ~ spl0_1 ),
    inference(split_clause,[status(thm)],[f88,f206,f209]) ).

fof(f218,plain,
    ! [X0,X1] : ti(state,X0) = ti(state,X1),
    inference(paramodulation,[status(thm)],[f205,f205]) ).

fof(f348,plain,
    ( $false
    | spl0_1 ),
    inference(forward_subsumption_resolution,[status(thm)],[f211,f218]) ).

fof(f349,plain,
    spl0_1,
    inference(contradiction_clause,[status(thm)],[f348]) ).

fof(f350,plain,
    ( $false
    | spl0_0 ),
    inference(forward_subsumption_resolution,[status(thm)],[f208,f202]) ).

fof(f351,plain,
    spl0_0,
    inference(contradiction_clause,[status(thm)],[f350]) ).

fof(f352,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f212,f349,f351]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.10  % Problem  : SWW469+5 : TPTP v8.1.2. Released v5.3.0.
% 0.08/0.11  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.31  % Computer : n010.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 : Mon Apr 29 22:52:35 EDT 2024
% 0.10/0.31  % CPUTime  : 
% 0.15/0.32  % Drodi V3.6.0
% 0.15/0.33  % Refutation found
% 0.15/0.33  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.15/0.33  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.15/0.35  % Elapsed time: 0.027159 seconds
% 0.15/0.35  % CPU time: 0.036423 seconds
% 0.15/0.35  % Total memory used: 14.301 MB
% 0.15/0.35  % Net memory used: 14.275 MB
%------------------------------------------------------------------------------