%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : SWV011+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n032.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 20:45:45 EDT 2024

% Result   : Theorem 0.15s 0.35s
% Output   : CNFRefutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   10 (   6 unt;   0 def)
%            Number of atoms       :   14 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   10 (   6   ~;   2   |;   2   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    3 (   2 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-1 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :    4 (   2   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f11,axiom,
    b_holds(key(generate_key(an_a_nonce),a)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f13,axiom,
    a_holds(key(generate_key(an_a_nonce),b)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f17,conjecture,
    ? [U] :
      ( a_holds(key(U,b))
      & b_holds(key(U,a)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f18,negated_conjecture,
    ~ ? [U] :
        ( a_holds(key(U,b))
        & b_holds(key(U,a)) ),
    inference(negated_conjecture,[status(cth)],[f17]) ).

fof(f29,plain,
    b_holds(key(generate_key(an_a_nonce),a)),
    inference(cnf_transformation,[status(esa)],[f11]) ).

fof(f31,plain,
    a_holds(key(generate_key(an_a_nonce),b)),
    inference(cnf_transformation,[status(esa)],[f13]) ).

fof(f35,plain,
    ! [U] :
      ( ~ a_holds(key(U,b))
      | ~ b_holds(key(U,a)) ),
    inference(pre_NNF_transformation,[status(esa)],[f18]) ).

fof(f36,plain,
    ! [X0] :
      ( ~ a_holds(key(X0,b))
      | ~ b_holds(key(X0,a)) ),
    inference(cnf_transformation,[status(esa)],[f35]) ).

fof(f37,plain,
    ~ a_holds(key(generate_key(an_a_nonce),b)),
    inference(resolution,[status(thm)],[f29,f36]) ).

fof(f38,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f31,f37]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.12  % Problem  : SWV011+1 : TPTP v8.1.2. Released v2.4.0.
% 0.09/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.33  % Computer : n032.cluster.edu
% 0.10/0.33  % Model    : x86_64 x86_64
% 0.10/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.33  % Memory   : 8042.1875MB
% 0.10/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.33  % CPULimit : 300
% 0.10/0.33  % WCLimit  : 300
% 0.10/0.33  % DateTime : Tue Apr 30 00:50:35 EDT 2024
% 0.10/0.33  % CPUTime  : 
% 0.15/0.34  % Drodi V3.6.0
% 0.15/0.35  % Refutation found
% 0.15/0.35  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.15/0.35  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.15/0.37  % Elapsed time: 0.017157 seconds
% 0.15/0.37  % CPU time: 0.010551 seconds
% 0.15/0.37  % Total memory used: 924.928 KB
% 0.15/0.37  % Net memory used: 909.888 KB
%------------------------------------------------------------------------------