%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : SWV011-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %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  : 600s
% DateTime : Wed Jul 20 20:29:49 EDT 2022

% Result   : Unsatisfiable 0.12s 0.34s
% Output   : CNFRefutation 0.12s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    3
% Syntax   : Number of clauses     :    6 (   4 unt;   0 nHn;   6 RR)
%            Number of literals    :    8 (   0 equ;   5 neg)
%            Maximal clause size   :    2 (   1 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   :    1 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(ax1_11,axiom,
    b_holds(key(generate_key(an_a_nonce),a)) ).

cnf(ax3_13,axiom,
    a_holds(key(generate_key(an_a_nonce),b)) ).

cnf(co1_17,negated_conjecture,
    ( ~ a_holds(key(A,b))
    | ~ b_holds(key(A,a)) ) ).

cnf(refute_0_0,plain,
    ( ~ a_holds(key(generate_key(an_a_nonce),b))
    | ~ b_holds(key(generate_key(an_a_nonce),a)) ),
    inference(subst,[],[co1_17:[bind(A,$fot(generate_key(an_a_nonce)))]]) ).

cnf(refute_0_1,plain,
    ~ a_holds(key(generate_key(an_a_nonce),b)),
    inference(resolve,[$cnf( b_holds(key(generate_key(an_a_nonce),a)) )],[ax1_11,refute_0_0]) ).

cnf(refute_0_2,plain,
    $false,
    inference(resolve,[$cnf( a_holds(key(generate_key(an_a_nonce),b)) )],[ax3_13,refute_0_1]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SWV011-1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.12  % Command  : metis --show proof --show saturation %s
% 0.12/0.33  % Computer : n029.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Wed Jun 15 19:48:42 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.12/0.34  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.12/0.34  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.34  
% 0.12/0.34  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.12/0.34  
%------------------------------------------------------------------------------